Time bar (total: 7.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 25% | 75% | 0 |
| 0% | 25% | 75% | 1 |
| 12.5% | 12.5% | 75% | 2 |
| 12.5% | 12.5% | 75% | 3 |
| 18.7% | 6.2% | 75% | 4 |
| 21.8% | 3.1% | 75% | 5 |
| 23.4% | 1.6% | 75% | 6 |
| 23.4% | 1.6% | 75% | 7 |
| 24.2% | 0.8% | 75% | 8 |
| 24.2% | 0.8% | 75% | 9 |
| 24.6% | 0.4% | 75% | 10 |
| 24.6% | 0.4% | 75% | 11 |
| 24.8% | 0.2% | 75% | 12 |
Compiled 20 to 14 computations (30% saved)
| 1.2s | 1997× | body | 1024 | valid |
| 1.1s | 5201× | body | 256 | valid |
| 420.0ms | 1055× | body | 512 | valid |
| 3.0ms | 3× | body | 2048 | valid |
| 2× | egg-herbie |
| 8× | *-commutative_binary64 |
| 4× | associate-/l*_binary64 |
| 4× | associate-/r/_binary64 |
| 4× | fma-def_binary64 |
| 2× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 34 |
| 1 | 28 | 30 |
| 2 | 40 | 30 |
| 3 | 46 | 30 |
| 4 | 48 | 30 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v)))) |
(/.f64 (*.f64 v (sin.f64 e)) (+.f64 1 (*.f64 v (cos.f64 e)))) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v)))) |
(/.f64 e (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))) |
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v)) |
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1))) |
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
(/.f64 (*.f64 v (sin.f64 e)) (+.f64 1 (*.f64 v (cos.f64 e)))) |
(*.f64 (/.f64 v (fma.f64 v (cos.f64 e) 1)) (sin.f64 e)) |
(*.f64 (sin.f64 e) (/.f64 v (fma.f64 v (cos.f64 e) 1))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 2× | associate-/r/_binary64 |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 17 |
| 1 | 17 | 15 |
| 2 | 23 | 15 |
| 3 | 26 | 15 |
| 4 | 27 | 15 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v)))) |
| Outputs |
|---|
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v)))) |
(/.f64 e (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))) |
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e) |
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
Compiled 23 to 13 computations (43.5% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
| ▶ | 0.1b | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v)))) |
Compiled 25 to 17 computations (32% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) |
| ✓ | 0.1b | (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
Compiled 32 to 14 computations (56.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | e | @ | inf | (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
| 2.0ms | v | @ | 0 | (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
| 1.0ms | v | @ | inf | (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
| 1.0ms | v | @ | 0 | (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) |
| 1.0ms | v | @ | -inf | (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
| 1× | batch-egg-rewrite |
| 921× | pow1_binary64 |
| 846× | add-log-exp_binary64 |
| 846× | log1p-expm1-u_binary64 |
| 846× | expm1-log1p-u_binary64 |
| 826× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 178 | 27 |
| 2 | 2236 | 27 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 e (sin.f64 v))) (neg.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 e (sin.f64 v)) 1) (fma.f64 e (cos.f64 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 e (sin.f64 v)) (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (cbrt.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 e (sin.f64 v)) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))) (sqrt.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 v)) e) (neg.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (neg.f64 (sin.f64 v))) (neg.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 e 3) (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3) (pow.f64 e 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) (/.f64 1 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2) (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) (/.f64 1 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 v)) (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 v)) (/.f64 1 (neg.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 v)) 1) (/.f64 (sqrt.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (/.f64 (sin.f64 v) (cbrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 v)) (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (/.f64 (sqrt.f64 (sin.f64 v)) (cbrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 e (cos.f64 v) 1))) (/.f64 (sin.f64 v) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))) (/.f64 (cbrt.f64 (sin.f64 v)) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 v) (neg.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (fma.f64 e (cos.f64 v) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) |
| 1× | egg-herbie |
| 860× | fma-def_binary64 |
| 714× | associate-*l*_binary64 |
| 647× | associate-*r*_binary64 |
| 247× | associate-/r*_binary64 |
| 230× | associate-+l+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 153 | 1900 |
| 1 | 476 | 1818 |
| 2 | 1685 | 1780 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 v) e) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (*.f64 v e) (+.f64 1 e))) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (+.f64 (*.f64 (pow.f64 v 7) (-.f64 (*.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (*.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 v (+.f64 1 e)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e))) |
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e)))) |
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 7) (+.f64 (*.f64 -1/720 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2))))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/5040 (/.f64 1 (+.f64 1 e)))))))) (/.f64 v (+.f64 1 e))))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(sin.f64 v) |
(+.f64 (sin.f64 v) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))) |
(+.f64 (sin.f64 v) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))) |
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))) |
| Outputs |
|---|
(*.f64 (sin.f64 v) e) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (*.f64 (sin.f64 v) e)) |
(-.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))) |
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))) |
(-.f64 (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (*.f64 (sin.f64 v) (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (-.f64 (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e) (*.f64 e (*.f64 e (cos.f64 v))))) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))) |
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))) (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))) |
(+.f64 (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (*.f64 (neg.f64 (sin.f64 v)) (+.f64 (*.f64 e (*.f64 e (cos.f64 v))) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))))) |
(-.f64 (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e)) (*.f64 (sin.f64 v) (fma.f64 e (*.f64 e (cos.f64 v)) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))))) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3)))) |
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))))) |
(-.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))))) |
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))) |
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (*.f64 e (pow.f64 (cos.f64 v) 3))) (+.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))))) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3)))) |
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))))) |
(-.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))))) |
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))) |
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (*.f64 e (pow.f64 (cos.f64 v) 3))) (+.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 (/.f64 v (+.f64 e 1)) e) |
(*.f64 (/.f64 e (+.f64 e 1)) v) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (*.f64 v e) (+.f64 1 e))) |
(fma.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 v (/.f64 (+.f64 e 1) e))) |
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (*.f64 (/.f64 v (+.f64 e 1)) e)) |
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 (*.f64 e e) 1/2) (pow.f64 (+.f64 e 1) 2))) (*.f64 (/.f64 e (+.f64 e 1)) v)) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))) |
(+.f64 (fma.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 v (/.f64 (+.f64 e 1) e))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 (/.f64 e (+.f64 e 1)) 1/120) (fma.f64 1/24 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 (+.f64 e 1) e))))))) |
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (/.f64 (+.f64 e 1) e)) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (+.f64 e 1)) e) (/.f64 (*.f64 (*.f64 e e) 1/24) (pow.f64 (+.f64 e 1) 2)))) (*.f64 (/.f64 v (+.f64 e 1)) e))) |
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 (*.f64 e e) 1/2) (pow.f64 (+.f64 e 1) 2))) (fma.f64 (pow.f64 v 5) (-.f64 (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) -1/24)) (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 (*.f64 e e) 1/2) (pow.f64 (+.f64 e 1) 2))) (/.f64 (/.f64 (+.f64 e 1) e) -1/2))) (*.f64 (/.f64 e (+.f64 e 1)) v))) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (+.f64 (*.f64 (pow.f64 v 7) (-.f64 (*.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (*.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))) |
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(+.f64 (sin.f64 v) (fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3))) (fma.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)) (neg.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) e))))) |
(+.f64 (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)) 1) (sin.f64 v)) (*.f64 e (*.f64 (sin.f64 v) (cos.f64 v)))) (*.f64 (sin.f64 v) (neg.f64 (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3))))) |
(-.f64 (*.f64 (sin.f64 v) (-.f64 (fma.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)) 1) (*.f64 e (cos.f64 v)))) (*.f64 (pow.f64 e 3) (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (neg.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)))) |
(-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4)))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2))))) |
(+.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4))))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (neg.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)))) |
(-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4)))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2))))) |
(+.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4))))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v)))) |
| ✓ | 0.1b | (*.f64 e (sin.f64 v)) |
| ✓ | 0.1b | (*.f64 e (cos.f64 v)) |
Compiled 34 to 12 computations (64.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | v | @ | 0 | (*.f64 e (sin.f64 v)) |
| 2.0ms | e | @ | -inf | (*.f64 e (cos.f64 v)) |
| 1.0ms | e | @ | 0 | (*.f64 e (cos.f64 v)) |
| 1.0ms | e | @ | 0 | (*.f64 e (sin.f64 v)) |
| 1.0ms | v | @ | 0 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v)))) |
| 1× | batch-egg-rewrite |
| 552× | log-prod_binary64 |
| 370× | prod-diff_binary64 |
| 345× | pow-prod-down_binary64 |
| 274× | pow2_binary64 |
| 254× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 29 |
| 1 | 207 | 27 |
| 2 | 2831 | 27 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 e (cos.f64 v)) |
(*.f64 e (sin.f64 v)) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 e (cos.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 e) (cos.f64 v))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 e) (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 e) (cos.f64 v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 e) (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 e (cos.f64 v) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 e (cos.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 e (cos.f64 v)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 e (cos.f64 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 e (cos.f64 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 e (cos.f64 v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 e (cos.f64 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 e) (cos.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 e (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 e (cos.f64 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 e (cos.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 e (cos.f64 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 e (cos.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 e (cos.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 e (cos.f64 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 e (cos.f64 v)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 e (cos.f64 v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 e (cos.f64 v)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 e (cos.f64 v) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 e (cos.f64 v) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2) (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 e (cos.f64 v) 1)) (sqrt.f64 (fma.f64 e (cos.f64 v) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 e (cos.f64 v)) 3)) (/.f64 1 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 e (cos.f64 v)) 2)) (/.f64 1 (-.f64 1 (*.f64 e (cos.f64 v)))) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 e (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 e) (sin.f64 v))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 e) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 e) (sin.f64 v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 e) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 e (sin.f64 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 e (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 e) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 e (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 e (sin.f64 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 e (sin.f64 v)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 e (sin.f64 v)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 e (sin.f64 v)))) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (*.f64 (sin.f64 v) (/.f64 1 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) (*.f64 e (/.f64 1 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (sin.f64 v)) (/.f64 1 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))) 2) (cbrt.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 2) (*.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) (/.f64 1 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))) (sqrt.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) (*.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) (/.f64 1 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (/.f64 1 (neg.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 e (cos.f64 v) 1)) (*.f64 e (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e 1) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 v) 1) (/.f64 e (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 2) 1) (/.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 1) (/.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (/.f64 (sin.f64 v) (cbrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 v) (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (/.f64 e (cbrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) -2) (/.f64 (*.f64 e (sin.f64 v)) (cbrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 2) (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (cbrt.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (/.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) (cbrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (sqrt.f64 (fma.f64 e (cos.f64 v) 1))) (/.f64 (sin.f64 v) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 v) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))) (/.f64 e (sqrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 e (cos.f64 v) 1) -1/2) (/.f64 (*.f64 e (sin.f64 v)) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 2) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))) (/.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (pow.f64 (*.f64 e (cos.f64 v)) 3))) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 1 (pow.f64 (*.f64 e (cos.f64 v)) 2))) (-.f64 1 (*.f64 e (cos.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3) (pow.f64 (fma.f64 e (cos.f64 v) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 e (sin.f64 v)) (neg.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3) (pow.f64 (fma.f64 e (cos.f64 v) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e)) -1)))))) |
| 1× | egg-herbie |
| 753× | fma-neg_binary64 |
| 653× | fma-def_binary64 |
| 501× | associate-*l*_binary64 |
| 473× | associate-*r*_binary64 |
| 350× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 1369 |
| 1 | 357 | 1319 |
| 2 | 1154 | 1282 |
| 3 | 5343 | 1224 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
e |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) e)) e) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 v 4) e)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) e)) e)) |
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 v 6) e)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 v 4) e)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) e)) e))) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 v e) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (*.f64 v e)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (+.f64 (*.f64 v e) (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e))))) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (*.f64 v e) (+.f64 1 e))) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (+.f64 (*.f64 (pow.f64 v 7) (-.f64 (*.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (*.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
| Outputs |
|---|
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
e |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) e)) e) |
(fma.f64 -1/2 (*.f64 e (*.f64 v v)) e) |
(fma.f64 -1/2 (*.f64 v (*.f64 v e)) e) |
(*.f64 e (fma.f64 -1/2 (*.f64 v v) 1)) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 v 4) e)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) e)) e)) |
(fma.f64 1/24 (*.f64 e (pow.f64 v 4)) (fma.f64 -1/2 (*.f64 e (*.f64 v v)) e)) |
(fma.f64 1/24 (*.f64 e (pow.f64 v 4)) (fma.f64 -1/2 (*.f64 v (*.f64 v e)) e)) |
(fma.f64 e (fma.f64 1/24 (pow.f64 v 4) (*.f64 v (*.f64 v -1/2))) e) |
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 v 6) e)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 v 4) e)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) e)) e))) |
(fma.f64 -1/720 (*.f64 e (pow.f64 v 6)) (fma.f64 1/24 (*.f64 e (pow.f64 v 4)) (fma.f64 -1/2 (*.f64 e (*.f64 v v)) e))) |
(fma.f64 -1/720 (*.f64 e (pow.f64 v 6)) (fma.f64 1/24 (*.f64 e (pow.f64 v 4)) (fma.f64 -1/2 (*.f64 v (*.f64 v e)) e))) |
(fma.f64 e (fma.f64 -1/720 (pow.f64 v 6) (*.f64 1/24 (pow.f64 v 4))) (*.f64 e (fma.f64 -1/2 (*.f64 v v) 1))) |
(*.f64 e (+.f64 (fma.f64 -1/2 (*.f64 v v) 1) (fma.f64 -1/720 (pow.f64 v 6) (*.f64 1/24 (pow.f64 v 4))))) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (cos.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 v e) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (*.f64 v e)) |
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (*.f64 v e)) |
(*.f64 e (+.f64 v (*.f64 -1/6 (pow.f64 v 3)))) |
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e))) |
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (*.f64 v e))) |
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (*.f64 e (+.f64 v (*.f64 1/120 (pow.f64 v 5))))) |
(*.f64 e (+.f64 v (fma.f64 -1/6 (pow.f64 v 3) (*.f64 1/120 (pow.f64 v 5))))) |
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(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (*.f64 e (+.f64 (*.f64 -1/5040 (pow.f64 v 7)) v)))) |
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(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
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(*.f64 (sin.f64 v) e) |
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(*.f64 (/.f64 v (+.f64 e 1)) e) |
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(*.f64 (/.f64 e (+.f64 e 1)) v) |
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(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (+.f64 (*.f64 (pow.f64 v 7) (-.f64 (*.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (*.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))) |
(+.f64 (fma.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (/.f64 (*.f64 -1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (/.f64 v (/.f64 (+.f64 e 1) e))) (fma.f64 (pow.f64 v 7) (-.f64 (*.f64 -1/5040 (/.f64 e (+.f64 e 1))) (fma.f64 1/24 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (/.f64 (*.f64 -1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (/.f64 (+.f64 e 1) e)) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 1/120 (/.f64 e (+.f64 e 1))) (fma.f64 1/24 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (/.f64 (*.f64 -1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (/.f64 (+.f64 e 1) e))))) (/.f64 (+.f64 e 1) e)) (/.f64 (*.f64 -1/720 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 e 1))) (fma.f64 1/24 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (/.f64 (*.f64 -1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (/.f64 (+.f64 e 1) e)))))))) |
(+.f64 (fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (*.f64 (/.f64 v (+.f64 e 1)) e)) (fma.f64 (pow.f64 v 7) (-.f64 (*.f64 -1/5040 (/.f64 e (+.f64 e 1))) (fma.f64 1/24 (*.f64 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (+.f64 e 1)) e) (fma.f64 -1/2 (*.f64 (/.f64 (-.f64 (*.f64 1/120 (/.f64 e (+.f64 e 1))) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (+.f64 e 1)) e) (/.f64 1/24 (/.f64 (pow.f64 (+.f64 e 1) 2) (*.f64 e e))))) (+.f64 e 1)) e) (/.f64 -1/720 (/.f64 (pow.f64 (+.f64 e 1) 2) (*.f64 e e)))))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 e 1))) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (+.f64 e 1)) e) (/.f64 1/24 (/.f64 (pow.f64 (+.f64 e 1) 2) (*.f64 e e)))))))) |
(fma.f64 (/.f64 v (+.f64 e 1)) e (fma.f64 (pow.f64 v 3) (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2 (*.f64 -1/6 (/.f64 e (+.f64 e 1)))) (fma.f64 (pow.f64 v 5) (-.f64 (/.f64 (*.f64 e 1/120) (+.f64 e 1)) (fma.f64 1/24 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) (/.f64 (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2 (*.f64 -1/6 (/.f64 e (+.f64 e 1)))) (/.f64 (/.f64 (+.f64 e 1) e) -1/2)))) (*.f64 (pow.f64 v 7) (-.f64 (/.f64 e (/.f64 (+.f64 e 1) -1/5040)) (fma.f64 -1/2 (*.f64 (/.f64 e (+.f64 e 1)) (-.f64 (/.f64 (*.f64 e 1/120) (+.f64 e 1)) (fma.f64 1/24 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) (/.f64 (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2 (*.f64 -1/6 (/.f64 e (+.f64 e 1)))) (/.f64 (/.f64 (+.f64 e 1) e) -1/2))))) (fma.f64 1/24 (*.f64 e (/.f64 (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2 (*.f64 -1/6 (/.f64 e (+.f64 e 1)))) (+.f64 e 1))) (*.f64 -1/720 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))))))))) |
(fma.f64 (/.f64 v (+.f64 e 1)) e (fma.f64 (pow.f64 v 3) (*.f64 (/.f64 e (+.f64 e 1)) (-.f64 -1/6 (/.f64 (*.f64 e -1/2) (+.f64 e 1)))) (fma.f64 (pow.f64 v 7) (+.f64 (*.f64 (/.f64 e (+.f64 e 1)) (-.f64 -1/5040 (/.f64 (*.f64 e -1/720) (+.f64 e 1)))) (*.f64 e (-.f64 (*.f64 -1/24 (/.f64 (*.f64 (/.f64 e (+.f64 e 1)) (-.f64 -1/6 (/.f64 (*.f64 e -1/2) (+.f64 e 1)))) (+.f64 e 1))) (/.f64 (*.f64 -1/2 (-.f64 (*.f64 (/.f64 e (+.f64 e 1)) (-.f64 1/120 (/.f64 (*.f64 e 1/24) (+.f64 e 1)))) (*.f64 (/.f64 -1/2 (+.f64 e 1)) (*.f64 e (*.f64 (/.f64 e (+.f64 e 1)) (-.f64 -1/6 (/.f64 (*.f64 e -1/2) (+.f64 e 1)))))))) (+.f64 e 1))))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 (/.f64 e (+.f64 e 1)) (-.f64 1/120 (/.f64 (*.f64 e 1/24) (+.f64 e 1)))) (*.f64 (/.f64 -1/2 (+.f64 e 1)) (*.f64 e (*.f64 (/.f64 e (+.f64 e 1)) (-.f64 -1/6 (/.f64 (*.f64 e -1/2) (+.f64 e 1))))))))))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e)) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) e) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e 1)) (sin.f64 v)) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e)) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) e) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e 1)) (sin.f64 v)) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e)) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) e) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e 1)) (sin.f64 v)) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e)) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) e) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e 1)) (sin.f64 v)) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e)) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) e) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e 1)) (sin.f64 v)) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e)) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) e) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e 1)) (sin.f64 v)) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e)) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) e) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e 1)) (sin.f64 v)) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) e)) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) e) |
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e 1)) (sin.f64 v)) |
Compiled 5596 to 3131 computations (44% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 229 | 16 | 245 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 231 | 16 | 247 |
| Status | Error | Program |
|---|---|---|
| 0.5b | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e)) | |
| 15.1b | (*.f64 e (-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)) | |
| 0.2b | (*.f64 e (expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) | |
| 1.1b | (/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v)))) | |
| 0.3b | (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) | |
| 25.5b | (/.f64 (pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2) (+.f64 1 (*.f64 e (cos.f64 v)))) | |
| 9.6b | (*.f64 e (cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3))) | |
| 1.2b | (/.f64 (pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 3) (+.f64 1 (*.f64 e (cos.f64 v)))) | |
| ▶ | 15.1b | (*.f64 e (log.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) |
| ▶ | 0.1b | (*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
| 0.8b | (*.f64 (sin.f64 v) e) | |
| ▶ | 32.9b | (*.f64 e (/.f64 v (+.f64 e 1))) |
| ▶ | 0.5b | (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) |
| ▶ | 36.1b | (/.f64 (cbrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3)) (+.f64 1 (*.f64 e (cos.f64 v)))) |
| 32.9b | (*.f64 (/.f64 e (+.f64 e 1)) v) | |
| 31.9b | (*.f64 e (pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2)) |
Compiled 416 to 296 computations (28.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
| ✓ | 0.1b | (*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
| ✓ | 0.1b | (*.f64 (cos.f64 v) e) |
Compiled 39 to 15 computations (61.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | e | @ | -inf | (*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
| 1.0ms | v | @ | 0 | (*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
| 1.0ms | v | @ | 0 | (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
| 0.0ms | v | @ | -inf | (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
| 0.0ms | v | @ | inf | (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
| 1× | batch-egg-rewrite |
| 536× | log-prod_binary64 |
| 361× | prod-diff_binary64 |
| 343× | pow-prod-down_binary64 |
| 274× | pow2_binary64 |
| 257× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 37 |
| 1 | 207 | 33 |
| 2 | 2772 | 33 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cos.f64 v) e) |
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 v) e))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 v)) e)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 v)) e))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 v)) e))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 v)) e))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (cos.f64 v) e 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 v) e) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 v) e) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 v) e)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 v) e)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 v) e) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 v) e) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 v) e) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 (cos.f64 v) e)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 v) e)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 v) e))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 v) e))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (cos.f64 v) e))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 v) e)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 v) e)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (cos.f64 v) e 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (cos.f64 v) e 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (cos.f64 v) e 1)) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 v) e 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 v) e 1) 2)) (cbrt.f64 (fma.f64 (cos.f64 v) e 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (cos.f64 v) e 1)) (sqrt.f64 (fma.f64 (cos.f64 v) e 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 v) e) 3)) (/.f64 1 (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 (cos.f64 v) e) 2)) (/.f64 1 (-.f64 1 (*.f64 (cos.f64 v) e))) -1))))) |
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(pow.f64 (fma.f64 (cos.f64 v) e 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 1) 1)))))) |
| 1× | egg-herbie |
| 953× | fma-def_binary64 |
| 331× | sub-neg_binary64 |
| 325× | *-commutative_binary64 |
| 258× | associate-+l+_binary64 |
| 252× | unsub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 165 | 1852 |
| 1 | 516 | 1786 |
| 2 | 1819 | 1742 |
| 3 | 7181 | 1726 |
| 1× | node limit |
| Inputs |
|---|
e |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) e)) e) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 v 4) e)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) e)) e)) |
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 v 6) e)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 v 4) e)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) e)) e))) |
(*.f64 (sin.f64 v) e) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (*.f64 v e) (+.f64 1 e))) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (+.f64 (*.f64 (pow.f64 v 7) (-.f64 (*.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (*.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 v (+.f64 1 e)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e))) |
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e)))) |
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 7) (+.f64 (*.f64 -1/720 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2))))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/5040 (/.f64 1 (+.f64 1 e)))))))) (/.f64 v (+.f64 1 e))))) |
(sin.f64 v) |
(+.f64 (sin.f64 v) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))) |
(+.f64 (sin.f64 v) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))) |
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))) |
| Outputs |
|---|
e |
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) e)) e) |
(fma.f64 -1/2 (*.f64 e (*.f64 v v)) e) |
(*.f64 e (fma.f64 -1/2 (*.f64 v v) 1)) |
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 v 4) e)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) e)) e)) |
(fma.f64 1/24 (*.f64 e (pow.f64 v 4)) (fma.f64 -1/2 (*.f64 e (*.f64 v v)) e)) |
(fma.f64 e (fma.f64 1/24 (pow.f64 v 4) (*.f64 -1/2 (*.f64 v v))) e) |
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 v 6) e)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 v 4) e)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) e)) e))) |
(fma.f64 -1/720 (*.f64 e (pow.f64 v 6)) (fma.f64 1/24 (*.f64 e (pow.f64 v 4)) (fma.f64 -1/2 (*.f64 e (*.f64 v v)) e))) |
(fma.f64 e (*.f64 -1/720 (pow.f64 v 6)) (fma.f64 e (fma.f64 1/24 (pow.f64 v 4) (*.f64 -1/2 (*.f64 v v))) e)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (*.f64 e (sin.f64 v))) |
(-.f64 (*.f64 e (sin.f64 v)) (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))) |
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))) |
(fma.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (*.f64 (sin.f64 v) (neg.f64 (*.f64 (cos.f64 v) (*.f64 e e))))) |
(*.f64 (sin.f64 v) (-.f64 (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e) (*.f64 (cos.f64 v) (*.f64 e e)))) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))) |
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))) (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))) |
(+.f64 (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (*.f64 (neg.f64 (sin.f64 v)) (+.f64 (*.f64 (cos.f64 v) (*.f64 e e)) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))))) |
(-.f64 (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e)) (*.f64 (sin.f64 v) (fma.f64 e (*.f64 e (cos.f64 v)) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))))) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3)))) |
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 3))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 3)) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3))))) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3)))) |
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 3))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 3)) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3))))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 (/.f64 v (+.f64 e 1)) e) |
(*.f64 (/.f64 e (+.f64 e 1)) v) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (*.f64 v e) (+.f64 1 e))) |
(fma.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 v (/.f64 (+.f64 e 1) e))) |
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (*.f64 (/.f64 v (+.f64 e 1)) e)) |
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (*.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/2)) (*.f64 (/.f64 e (+.f64 e 1)) v)) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))) |
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(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (+.f64 e 1) e)) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 e 1) 2))))) (fma.f64 -1 (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1)))) (fma.f64 -1 (*.f64 (pow.f64 v 7) (fma.f64 -1/720 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (+.f64 e 1) e)) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 e 1) 2))))) (/.f64 (+.f64 e 1) e)) (fma.f64 -1/24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (+.f64 e 1) e)) (/.f64 1/5040 (+.f64 e 1)))))) (/.f64 v (+.f64 e 1))))) |
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 1/24 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (*.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (+.f64 e 1) e))))) (-.f64 (-.f64 (/.f64 v (+.f64 e 1)) (*.f64 (pow.f64 v 7) (fma.f64 -1/720 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (fma.f64 -1/2 (/.f64 e (/.f64 (+.f64 e 1) (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 1/24 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (*.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (+.f64 e 1) e))))))) (fma.f64 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (+.f64 e 1) e)) -1/24 (/.f64 1/5040 (+.f64 e 1))))))) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1)))))) |
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 1/24 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (/.f64 (+.f64 e 1) e) 1/2)))) (-.f64 (/.f64 v (+.f64 e 1)) (fma.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (*.f64 (pow.f64 v 7) (fma.f64 -1/2 (*.f64 (/.f64 e (+.f64 e 1)) (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 1/24 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (/.f64 (+.f64 e 1) e) 1/2))))) (fma.f64 -1/720 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (fma.f64 (*.f64 (/.f64 e (+.f64 e 1)) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1)))) -1/24 (/.f64 1/5040 (+.f64 e 1))))))))) |
(-.f64 (fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 1/24 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (/.f64 (+.f64 e 1) e) 1/2)))) (/.f64 v (+.f64 e 1))) (fma.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (*.f64 (pow.f64 v 7) (fma.f64 -1/2 (*.f64 (/.f64 e (+.f64 e 1)) (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 1/24 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (/.f64 (+.f64 e 1) e) 1/2))))) (fma.f64 -1/720 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (fma.f64 (*.f64 (/.f64 e (+.f64 e 1)) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1)))) -1/24 (/.f64 1/5040 (+.f64 e 1)))))))) |
(sin.f64 v) |
(+.f64 (sin.f64 v) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))) |
(+.f64 (sin.f64 v) (neg.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))))) |
(-.f64 (sin.f64 v) (*.f64 e (*.f64 (sin.f64 v) (cos.f64 v)))) |
(-.f64 (sin.f64 v) (*.f64 (*.f64 e (sin.f64 v)) (cos.f64 v))) |
(+.f64 (sin.f64 v) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))) |
(+.f64 (sin.f64 v) (fma.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)) (neg.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))) |
(-.f64 (*.f64 (+.f64 (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))) 1) (sin.f64 v)) (*.f64 e (*.f64 (sin.f64 v) (cos.f64 v)))) |
(*.f64 (sin.f64 v) (-.f64 (fma.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2) 1) (*.f64 e (cos.f64 v)))) |
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))))) |
(+.f64 (sin.f64 v) (fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3))) (fma.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)) (neg.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))))))) |
(+.f64 (fma.f64 (neg.f64 (sin.f64 v)) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3)) (*.f64 (*.f64 e e) (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))) (-.f64 (sin.f64 v) (*.f64 e (*.f64 (sin.f64 v) (cos.f64 v))))) |
(-.f64 (*.f64 (sin.f64 v) (-.f64 (fma.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2) 1) (*.f64 e (cos.f64 v)))) (*.f64 (pow.f64 e 3) (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) |
(/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (neg.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)))) |
(-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) e)) |
(-.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) e))) |
(+.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3)))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4)))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) e))) |
(+.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 4)))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) |
(/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (neg.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)))) |
(-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) e)) |
(-.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) e))) |
(+.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3)))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4)))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) e))) |
(+.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 4)))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 v (+.f64 e 1)) |
| ✓ | 0.0b | (*.f64 e (/.f64 v (+.f64 e 1))) |
Compiled 20 to 12 computations (40% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | e | @ | -inf | (*.f64 e (/.f64 v (+.f64 e 1))) |
| 1.0ms | v | @ | 0 | (*.f64 e (/.f64 v (+.f64 e 1))) |
| 1.0ms | v | @ | -inf | (*.f64 e (/.f64 v (+.f64 e 1))) |
| 1.0ms | v | @ | inf | (*.f64 e (/.f64 v (+.f64 e 1))) |
| 1.0ms | e | @ | 0 | (*.f64 e (/.f64 v (+.f64 e 1))) |
| 1× | batch-egg-rewrite |
| 824× | pow1_binary64 |
| 767× | log1p-expm1-u_binary64 |
| 767× | expm1-log1p-u_binary64 |
| 766× | add-log-exp_binary64 |
| 750× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 150 | 17 |
| 2 | 2065 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 e (/.f64 v (+.f64 e 1))) |
(/.f64 v (+.f64 e 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 e (/.f64 (+.f64 e 1) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e v) (+.f64 e 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 e v)) (+.f64 -1 (neg.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 e v) 1) (+.f64 e 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 e v) (pow.f64 (cbrt.f64 (+.f64 e 1)) 2)) (cbrt.f64 (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 e v) (sqrt.f64 (+.f64 e 1))) (sqrt.f64 (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 v) e) (+.f64 -1 (neg.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (neg.f64 v)) (+.f64 -1 (neg.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 e (/.f64 v (+.f64 e 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 e (/.f64 v (+.f64 e 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 e (/.f64 v (+.f64 e 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 e (/.f64 v (+.f64 e 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 e (/.f64 v (+.f64 e 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 e) (/.f64 v (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 e (/.f64 v (+.f64 e 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 e 3) (pow.f64 (/.f64 v (+.f64 e 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 v (+.f64 e 1)) 3) (pow.f64 e 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 e (/.f64 v (+.f64 e 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 e (/.f64 v (+.f64 e 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 e v)) (log1p.f64 e))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 v (/.f64 1 (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 v (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v (+.f64 e 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 v (+.f64 e 1))) (pow.f64 (cbrt.f64 (/.f64 v (+.f64 e 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 v (+.f64 e 1))) 2) (cbrt.f64 (/.f64 v (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 v) 2) (*.f64 (cbrt.f64 v) (/.f64 1 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 v (+.f64 e 1))) (sqrt.f64 (/.f64 v (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 v) (*.f64 (sqrt.f64 v) (/.f64 1 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 v) (/.f64 1 (+.f64 -1 (neg.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 e 1)) v)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) 1) (/.f64 (cbrt.f64 v) (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 v) 1) (/.f64 (sqrt.f64 v) (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 e 1)) 2)) (/.f64 v (cbrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (pow.f64 (cbrt.f64 (+.f64 e 1)) 2)) (cbrt.f64 (/.f64 v (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 v) (pow.f64 (cbrt.f64 (+.f64 e 1)) 2)) (/.f64 (sqrt.f64 v) (cbrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 e 1))) (/.f64 v (sqrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (sqrt.f64 (+.f64 e 1))) (/.f64 (cbrt.f64 v) (sqrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v (+.f64 1 (pow.f64 e 3))) (fma.f64 e e (-.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v (fma.f64 e e -1)) (+.f64 e -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (+.f64 e 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 v (+.f64 e 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 v (+.f64 e 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 v (+.f64 e 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 e 1) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 v (+.f64 -1 (neg.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 v (+.f64 e 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 v (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 v (+.f64 e 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 v 3) (pow.f64 (+.f64 e 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 v (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 v (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 v) (log1p.f64 e))))))) |
| 1× | egg-herbie |
| 494× | sub-neg_binary64 |
| 483× | distribute-rgt-neg-in_binary64 |
| 456× | fma-neg_binary64 |
| 401× | distribute-lft-neg-in_binary64 |
| 342× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 582 |
| 1 | 156 | 556 |
| 2 | 430 | 539 |
| 3 | 1544 | 496 |
| 4 | 5594 | 496 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 v e) |
(+.f64 (*.f64 v e) (*.f64 -1 (*.f64 v (pow.f64 e 2)))) |
(+.f64 (*.f64 v e) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 2))) (*.f64 v (pow.f64 e 3)))) |
(+.f64 (*.f64 v e) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 2))) (+.f64 (*.f64 v (pow.f64 e 3)) (*.f64 -1 (*.f64 v (pow.f64 e 4)))))) |
v |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2)))) |
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2))))) |
v |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2)))) |
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2))))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
v |
(+.f64 v (*.f64 -1 (*.f64 v e))) |
(+.f64 v (+.f64 (*.f64 -1 (*.f64 v e)) (*.f64 v (pow.f64 e 2)))) |
(+.f64 v (+.f64 (*.f64 -1 (*.f64 v e)) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 3))) (*.f64 v (pow.f64 e 2))))) |
(/.f64 v e) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e)) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3)))) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3))))) |
(/.f64 v e) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e)) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3)))) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3))))) |
| Outputs |
|---|
(*.f64 v e) |
(+.f64 (*.f64 v e) (*.f64 -1 (*.f64 v (pow.f64 e 2)))) |
(fma.f64 v e (neg.f64 (*.f64 v (*.f64 e e)))) |
(-.f64 (*.f64 v e) (*.f64 v (*.f64 e e))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(+.f64 (*.f64 v e) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 2))) (*.f64 v (pow.f64 e 3)))) |
(fma.f64 v e (fma.f64 -1 (*.f64 v (*.f64 e e)) (*.f64 v (pow.f64 e 3)))) |
(fma.f64 v e (-.f64 (*.f64 v (pow.f64 e 3)) (*.f64 v (*.f64 e e)))) |
(fma.f64 v e (*.f64 v (-.f64 (pow.f64 e 3) (*.f64 e e)))) |
(*.f64 v (-.f64 e (*.f64 e (-.f64 e (*.f64 e e))))) |
(*.f64 (*.f64 v e) (+.f64 (*.f64 e e) (-.f64 1 e))) |
(+.f64 (*.f64 v e) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 2))) (+.f64 (*.f64 v (pow.f64 e 3)) (*.f64 -1 (*.f64 v (pow.f64 e 4)))))) |
(fma.f64 v e (fma.f64 -1 (*.f64 v (*.f64 e e)) (fma.f64 v (pow.f64 e 3) (neg.f64 (*.f64 v (pow.f64 e 4)))))) |
(fma.f64 v e (-.f64 (-.f64 (*.f64 v (pow.f64 e 3)) (*.f64 v (*.f64 e e))) (*.f64 v (pow.f64 e 4)))) |
(+.f64 (*.f64 v (-.f64 e (*.f64 e e))) (*.f64 v (-.f64 (pow.f64 e 3) (pow.f64 e 4)))) |
(*.f64 (-.f64 e (*.f64 e e)) (fma.f64 v (*.f64 e e) v)) |
v |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(+.f64 v (neg.f64 (/.f64 v e))) |
(-.f64 v (/.f64 v e)) |
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2)))) |
(+.f64 v (fma.f64 -1 (/.f64 v e) (/.f64 v (*.f64 e e)))) |
(+.f64 (-.f64 v (/.f64 v e)) (/.f64 v (*.f64 e e))) |
(+.f64 v (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(+.f64 v (/.f64 (-.f64 (/.f64 v e) v) e)) |
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2))))) |
(+.f64 v (fma.f64 -1 (/.f64 v e) (fma.f64 -1 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e))))) |
(+.f64 (-.f64 v (/.f64 v e)) (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v (pow.f64 e 3)))) |
(-.f64 (+.f64 v (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e))) (/.f64 v (pow.f64 e 3))) |
(+.f64 v (-.f64 (/.f64 (-.f64 v (/.f64 v e)) (*.f64 e e)) (/.f64 v e))) |
(-.f64 v (+.f64 (/.f64 v e) (/.f64 (-.f64 (/.f64 v e) v) (*.f64 e e)))) |
v |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(+.f64 v (neg.f64 (/.f64 v e))) |
(-.f64 v (/.f64 v e)) |
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2)))) |
(+.f64 v (fma.f64 -1 (/.f64 v e) (/.f64 v (*.f64 e e)))) |
(+.f64 (-.f64 v (/.f64 v e)) (/.f64 v (*.f64 e e))) |
(+.f64 v (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(+.f64 v (/.f64 (-.f64 (/.f64 v e) v) e)) |
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2))))) |
(+.f64 v (fma.f64 -1 (/.f64 v e) (fma.f64 -1 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e))))) |
(+.f64 (-.f64 v (/.f64 v e)) (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v (pow.f64 e 3)))) |
(-.f64 (+.f64 v (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e))) (/.f64 v (pow.f64 e 3))) |
(+.f64 v (-.f64 (/.f64 (-.f64 v (/.f64 v e)) (*.f64 e e)) (/.f64 v e))) |
(-.f64 v (+.f64 (/.f64 v e) (/.f64 (-.f64 (/.f64 v e) v) (*.f64 e e)))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 e 1)) |
(*.f64 (/.f64 v (+.f64 e 1)) e) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 v (/.f64 e (+.f64 e 1))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 e 1)) |
(*.f64 (/.f64 v (+.f64 e 1)) e) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 v (/.f64 e (+.f64 e 1))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 e 1)) |
(*.f64 (/.f64 v (+.f64 e 1)) e) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 v (/.f64 e (+.f64 e 1))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 e 1)) |
(*.f64 (/.f64 v (+.f64 e 1)) e) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 v (/.f64 e (+.f64 e 1))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 e 1)) |
(*.f64 (/.f64 v (+.f64 e 1)) e) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 v (/.f64 e (+.f64 e 1))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 e 1)) |
(*.f64 (/.f64 v (+.f64 e 1)) e) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 v (/.f64 e (+.f64 e 1))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 e 1)) |
(*.f64 (/.f64 v (+.f64 e 1)) e) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 v (/.f64 e (+.f64 e 1))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 e 1)) |
(*.f64 (/.f64 v (+.f64 e 1)) e) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 v (/.f64 e (+.f64 e 1))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 e 1)) |
(*.f64 (/.f64 v (+.f64 e 1)) e) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 v (/.f64 e (+.f64 e 1))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 e 1)) |
(*.f64 (/.f64 v (+.f64 e 1)) e) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 v (/.f64 e (+.f64 e 1))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 e 1)) |
(*.f64 (/.f64 v (+.f64 e 1)) e) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 v (/.f64 e (+.f64 e 1))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 e 1)) |
(*.f64 (/.f64 v (+.f64 e 1)) e) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 v (/.f64 e (+.f64 e 1))) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 e 1)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 e 1)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 e 1)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 e 1)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 e 1)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 e 1)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 e 1)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 e 1)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 e 1)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 e 1)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 e 1)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 e 1)) |
v |
(+.f64 v (*.f64 -1 (*.f64 v e))) |
(+.f64 v (neg.f64 (*.f64 v e))) |
(-.f64 v (*.f64 v e)) |
(+.f64 v (+.f64 (*.f64 -1 (*.f64 v e)) (*.f64 v (pow.f64 e 2)))) |
(+.f64 v (fma.f64 -1 (*.f64 v e) (*.f64 v (*.f64 e e)))) |
(+.f64 (*.f64 v (*.f64 e e)) (-.f64 v (*.f64 v e))) |
(+.f64 v (*.f64 v (-.f64 (*.f64 e e) e))) |
(+.f64 v (*.f64 e (fma.f64 v e (neg.f64 v)))) |
(+.f64 v (+.f64 (*.f64 -1 (*.f64 v e)) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 3))) (*.f64 v (pow.f64 e 2))))) |
(+.f64 v (fma.f64 -1 (*.f64 v e) (fma.f64 -1 (*.f64 v (pow.f64 e 3)) (*.f64 v (*.f64 e e))))) |
(+.f64 v (+.f64 (*.f64 v (*.f64 e e)) (*.f64 (neg.f64 v) (+.f64 e (pow.f64 e 3))))) |
(-.f64 v (fma.f64 v e (*.f64 v (-.f64 (pow.f64 e 3) (*.f64 e e))))) |
(*.f64 (+.f64 (*.f64 e e) 1) (-.f64 v (*.f64 v e))) |
(/.f64 v e) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e)) |
(fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e)) |
(-.f64 (/.f64 v e) (/.f64 v (*.f64 e e))) |
(/.f64 (-.f64 v (/.f64 v e)) e) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3)))) |
(+.f64 (fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e)) (/.f64 v (pow.f64 e 3))) |
(+.f64 (/.f64 v (pow.f64 e 3)) (-.f64 (/.f64 v e) (/.f64 v (*.f64 e e)))) |
(+.f64 (/.f64 v e) (-.f64 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e)))) |
(+.f64 (/.f64 v (pow.f64 e 3)) (/.f64 (-.f64 v (/.f64 v e)) e)) |
(+.f64 (/.f64 v e) (/.f64 (-.f64 (/.f64 v e) v) (*.f64 e e))) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3))))) |
(+.f64 (fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e)) (fma.f64 -1 (/.f64 v (pow.f64 e 4)) (/.f64 v (pow.f64 e 3)))) |
(+.f64 (-.f64 (/.f64 v e) (/.f64 v (*.f64 e e))) (-.f64 (/.f64 v (pow.f64 e 3)) (/.f64 v (pow.f64 e 4)))) |
(+.f64 (/.f64 v (pow.f64 e 3)) (-.f64 (-.f64 (/.f64 v e) (/.f64 v (pow.f64 e 4))) (/.f64 v (*.f64 e e)))) |
(+.f64 (/.f64 v (pow.f64 e 3)) (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) (/.f64 v (pow.f64 e 4)))) |
(+.f64 (/.f64 v e) (-.f64 (/.f64 (-.f64 (/.f64 v e) v) (*.f64 e e)) (/.f64 v (pow.f64 e 4)))) |
(/.f64 v e) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e)) |
(fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e)) |
(-.f64 (/.f64 v e) (/.f64 v (*.f64 e e))) |
(/.f64 (-.f64 v (/.f64 v e)) e) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3)))) |
(+.f64 (fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e)) (/.f64 v (pow.f64 e 3))) |
(+.f64 (/.f64 v (pow.f64 e 3)) (-.f64 (/.f64 v e) (/.f64 v (*.f64 e e)))) |
(+.f64 (/.f64 v e) (-.f64 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e)))) |
(+.f64 (/.f64 v (pow.f64 e 3)) (/.f64 (-.f64 v (/.f64 v e)) e)) |
(+.f64 (/.f64 v e) (/.f64 (-.f64 (/.f64 v e) v) (*.f64 e e))) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3))))) |
(+.f64 (fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e)) (fma.f64 -1 (/.f64 v (pow.f64 e 4)) (/.f64 v (pow.f64 e 3)))) |
(+.f64 (-.f64 (/.f64 v e) (/.f64 v (*.f64 e e))) (-.f64 (/.f64 v (pow.f64 e 3)) (/.f64 v (pow.f64 e 4)))) |
(+.f64 (/.f64 v (pow.f64 e 3)) (-.f64 (-.f64 (/.f64 v e) (/.f64 v (pow.f64 e 4))) (/.f64 v (*.f64 e e)))) |
(+.f64 (/.f64 v (pow.f64 e 3)) (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) (/.f64 v (pow.f64 e 4)))) |
(+.f64 (/.f64 v e) (-.f64 (/.f64 (-.f64 (/.f64 v e) v) (*.f64 e e)) (/.f64 v (pow.f64 e 4)))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) |
| ✓ | 0.1b | (*.f64 (cos.f64 v) (*.f64 e e)) |
| ✓ | 0.1b | (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) |
Compiled 36 to 8 computations (77.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | e | @ | inf | (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) |
| 2.0ms | v | @ | 0 | (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) |
| 1.0ms | v | @ | inf | (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) |
| 1.0ms | v | @ | -inf | (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) |
| 1.0ms | e | @ | -inf | (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) |
| 1× | batch-egg-rewrite |
| 831× | prod-diff_binary64 |
| 518× | log-prod_binary64 |
| 355× | pow-prod-down_binary64 |
| 297× | fma-def_binary64 |
| 260× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 38 |
| 1 | 193 | 38 |
| 2 | 2677 | 38 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) |
(*.f64 (cos.f64 v) (*.f64 e e)) |
(-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 e (sin.f64 v)) (*.f64 (*.f64 (cos.f64 v) (neg.f64 (*.f64 e e))) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (neg.f64 (*.f64 e e)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 v)) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 v)) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 v)) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 v)) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 e 3) (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 6)) (sin.f64 v)) (fma.f64 e e (fma.f64 (pow.f64 e 3) (cos.f64 v) (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 e e) (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 4)) (sin.f64 v)) (fma.f64 (cos.f64 v) (*.f64 e e) e))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 v) (-.f64 (pow.f64 e 3) (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 6))) (fma.f64 e e (fma.f64 (pow.f64 e 3) (cos.f64 v) (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 e e) (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 4))) (fma.f64 (cos.f64 v) (*.f64 e e) e))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 v)) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 v) e (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (neg.f64 (*.f64 e e)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 e (sin.f64 v) (*.f64 (*.f64 (cos.f64 v) (neg.f64 (*.f64 e e))) (sin.f64 v))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 v) (*.f64 e e)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 v)) (*.f64 e e))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 v)) (*.f64 e e)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 v)) (*.f64 e e)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 v)) (*.f64 e e)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 v) (*.f64 e e)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 v) (*.f64 e e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 v) (*.f64 e e))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 v)) (*.f64 e e)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 v) (*.f64 e e)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 v) (*.f64 e e))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 e (*.f64 (cos.f64 v) (neg.f64 (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 e (*.f64 (*.f64 (cos.f64 v) (neg.f64 (*.f64 e e))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) (fma.f64 (neg.f64 (cos.f64 v)) (*.f64 e e) (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) (fma.f64 (*.f64 (cos.f64 v) (neg.f64 (*.f64 e e))) 1 (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 v) (*.f64 e e)))) (cbrt.f64 (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 4)) (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) (fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(cos.f64 v) (*.f64 e e)))) (cbrt.f64 (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 4)) (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 e) (*.f64 e (sqrt.f64 (cos.f64 v)))) (-.f64 (sqrt.f64 e) (*.f64 e (sqrt.f64 (cos.f64 v)))) (fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 4))) (cbrt.f64 (*.f64 (cos.f64 v) (*.f64 e e))) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 e (cos.f64 v))) e e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (cos.f64 v)) e) e e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (cos.f64 v)) 1) (*.f64 e e) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (cos.f64 v)) (*.f64 (cbrt.f64 e) e)) (pow.f64 (cbrt.f64 e) 2) e))))) |
| 1× | egg-herbie |
| 680× | fma-def_binary64 |
| 455× | +-commutative_binary64 |
| 452× | distribute-rgt-out_binary64 |
| 431× | distribute-lft-out_binary64 |
| 424× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 1146 |
| 1 | 254 | 1112 |
| 2 | 898 | 1079 |
| 3 | 4313 | 1050 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 v (-.f64 e (pow.f64 e 2))) |
(+.f64 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/6 (-.f64 e (pow.f64 e 2))) (*.f64 1/2 (pow.f64 e 2)))) (*.f64 v (-.f64 e (pow.f64 e 2)))) |
(+.f64 (*.f64 (pow.f64 v 5) (+.f64 (*.f64 -1/24 (pow.f64 e 2)) (+.f64 (*.f64 -1/12 (pow.f64 e 2)) (*.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/6 (-.f64 e (pow.f64 e 2))) (*.f64 1/2 (pow.f64 e 2)))) (*.f64 v (-.f64 e (pow.f64 e 2))))) |
(+.f64 (*.f64 (pow.f64 v 7) (+.f64 (*.f64 1/240 (pow.f64 e 2)) (+.f64 (*.f64 1/720 (pow.f64 e 2)) (+.f64 (*.f64 1/144 (pow.f64 e 2)) (*.f64 -1/5040 (-.f64 e (pow.f64 e 2))))))) (+.f64 (*.f64 (pow.f64 v 5) (+.f64 (*.f64 -1/24 (pow.f64 e 2)) (+.f64 (*.f64 -1/12 (pow.f64 e 2)) (*.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/6 (-.f64 e (pow.f64 e 2))) (*.f64 1/2 (pow.f64 e 2)))) (*.f64 v (-.f64 e (pow.f64 e 2)))))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) |
(*.f64 (sin.f64 v) e) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(pow.f64 e 2) |
(+.f64 (pow.f64 e 2) (*.f64 -1/2 (*.f64 (pow.f64 v 2) (pow.f64 e 2)))) |
(+.f64 (pow.f64 e 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) (pow.f64 e 2))) (*.f64 1/24 (*.f64 (pow.f64 v 4) (pow.f64 e 2))))) |
(+.f64 (pow.f64 e 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) (pow.f64 e 2))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 v 6) (pow.f64 e 2))) (*.f64 1/24 (*.f64 (pow.f64 v 4) (pow.f64 e 2)))))) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
e |
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e) |
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e) |
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e) |
(*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) |
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e) |
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e) |
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e) |
(*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) |
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e) |
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e) |
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e) |
(-.f64 e (pow.f64 e 2)) |
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 v 2) (pow.f64 e 2))) e) (pow.f64 e 2)) |
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 v 2) (pow.f64 e 2))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 v 4) (pow.f64 e 2))) e)) (pow.f64 e 2)) |
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 v 2) (pow.f64 e 2))) (+.f64 (*.f64 1/720 (*.f64 (pow.f64 v 6) (pow.f64 e 2))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 v 4) (pow.f64 e 2))) e))) (pow.f64 e 2)) |
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2))) |
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2))) |
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2))) |
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2))) |
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2))) |
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2))) |
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2))) |
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2))) |
| Outputs |
|---|
(*.f64 v (-.f64 e (pow.f64 e 2))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(+.f64 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/6 (-.f64 e (pow.f64 e 2))) (*.f64 1/2 (pow.f64 e 2)))) (*.f64 v (-.f64 e (pow.f64 e 2)))) |
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (-.f64 e (*.f64 e e)) (*.f64 (*.f64 e e) 1/2)) (*.f64 v (-.f64 e (*.f64 e e)))) |
(fma.f64 v (-.f64 e (*.f64 e e)) (*.f64 (pow.f64 v 3) (fma.f64 (-.f64 e (*.f64 e e)) -1/6 (*.f64 e (*.f64 e 1/2))))) |
(fma.f64 (pow.f64 v 3) (+.f64 (*.f64 e -1/6) (*.f64 (*.f64 e e) 2/3)) (*.f64 v (-.f64 e (*.f64 e e)))) |
(+.f64 (*.f64 (pow.f64 v 5) (+.f64 (*.f64 -1/24 (pow.f64 e 2)) (+.f64 (*.f64 -1/12 (pow.f64 e 2)) (*.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/6 (-.f64 e (pow.f64 e 2))) (*.f64 1/2 (pow.f64 e 2)))) (*.f64 v (-.f64 e (pow.f64 e 2))))) |
(fma.f64 (pow.f64 v 5) (fma.f64 -1/24 (*.f64 e e) (fma.f64 -1/12 (*.f64 e e) (*.f64 (-.f64 e (*.f64 e e)) 1/120))) (fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (-.f64 e (*.f64 e e)) (*.f64 (*.f64 e e) 1/2)) (*.f64 v (-.f64 e (*.f64 e e))))) |
(fma.f64 (pow.f64 v 5) (+.f64 (*.f64 (-.f64 e (*.f64 e e)) 1/120) (*.f64 (*.f64 e e) -1/8)) (fma.f64 v (-.f64 e (*.f64 e e)) (*.f64 (pow.f64 v 3) (fma.f64 (-.f64 e (*.f64 e e)) -1/6 (*.f64 e (*.f64 e 1/2)))))) |
(fma.f64 v (-.f64 e (*.f64 e e)) (fma.f64 (pow.f64 v 3) (fma.f64 (-.f64 e (*.f64 e e)) -1/6 (*.f64 e (*.f64 e 1/2))) (*.f64 (pow.f64 v 5) (fma.f64 (-.f64 e (*.f64 e e)) 1/120 (*.f64 e (*.f64 e -1/8)))))) |
(fma.f64 (pow.f64 v 3) (+.f64 (*.f64 e -1/6) (*.f64 (*.f64 e e) 2/3)) (fma.f64 v (-.f64 e (*.f64 e e)) (*.f64 (pow.f64 v 5) (+.f64 (*.f64 e 1/120) (*.f64 (*.f64 e e) -2/15))))) |
(+.f64 (*.f64 (pow.f64 v 7) (+.f64 (*.f64 1/240 (pow.f64 e 2)) (+.f64 (*.f64 1/720 (pow.f64 e 2)) (+.f64 (*.f64 1/144 (pow.f64 e 2)) (*.f64 -1/5040 (-.f64 e (pow.f64 e 2))))))) (+.f64 (*.f64 (pow.f64 v 5) (+.f64 (*.f64 -1/24 (pow.f64 e 2)) (+.f64 (*.f64 -1/12 (pow.f64 e 2)) (*.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/6 (-.f64 e (pow.f64 e 2))) (*.f64 1/2 (pow.f64 e 2)))) (*.f64 v (-.f64 e (pow.f64 e 2)))))) |
(fma.f64 (pow.f64 v 7) (fma.f64 1/240 (*.f64 e e) (fma.f64 1/720 (*.f64 e e) (fma.f64 1/144 (*.f64 e e) (*.f64 (-.f64 e (*.f64 e e)) -1/5040)))) (fma.f64 (pow.f64 v 5) (fma.f64 -1/24 (*.f64 e e) (fma.f64 -1/12 (*.f64 e e) (*.f64 (-.f64 e (*.f64 e e)) 1/120))) (fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (-.f64 e (*.f64 e e)) (*.f64 (*.f64 e e) 1/2)) (*.f64 v (-.f64 e (*.f64 e e)))))) |
(fma.f64 (pow.f64 v 7) (+.f64 (fma.f64 (*.f64 e e) 1/144 (*.f64 (-.f64 e (*.f64 e e)) -1/5040)) (*.f64 (*.f64 e e) 1/180)) (fma.f64 (pow.f64 v 5) (+.f64 (*.f64 (-.f64 e (*.f64 e e)) 1/120) (*.f64 (*.f64 e e) -1/8)) (fma.f64 v (-.f64 e (*.f64 e e)) (*.f64 (pow.f64 v 3) (fma.f64 (-.f64 e (*.f64 e e)) -1/6 (*.f64 e (*.f64 e 1/2))))))) |
(fma.f64 (pow.f64 v 5) (fma.f64 (-.f64 e (*.f64 e e)) 1/120 (*.f64 e (*.f64 e -1/8))) (fma.f64 (pow.f64 v 7) (+.f64 (*.f64 (-.f64 e (*.f64 e e)) -1/5040) (*.f64 (*.f64 e e) 1/80)) (fma.f64 v (-.f64 e (*.f64 e e)) (*.f64 (pow.f64 v 3) (fma.f64 (-.f64 e (*.f64 e e)) -1/6 (*.f64 e (*.f64 e 1/2))))))) |
(fma.f64 (pow.f64 v 5) (+.f64 (*.f64 e 1/120) (*.f64 (*.f64 e e) -2/15)) (fma.f64 (pow.f64 v 7) (+.f64 (*.f64 (-.f64 e (*.f64 e e)) -1/5040) (*.f64 (*.f64 e e) 1/80)) (fma.f64 (pow.f64 v 3) (+.f64 (*.f64 e -1/6) (*.f64 (*.f64 e e) 2/3)) (*.f64 v (-.f64 e (*.f64 e e)))))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)) |
(*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) |
(neg.f64 (*.f64 (sin.f64 v) (*.f64 (*.f64 e e) (cos.f64 v)))) |
(*.f64 (sin.f64 v) (*.f64 (*.f64 e e) (neg.f64 (cos.f64 v)))) |
(*.f64 (*.f64 e e) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) |
(*.f64 e (*.f64 (sin.f64 v) (*.f64 e (neg.f64 (cos.f64 v))))) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)) |
(*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) |
(neg.f64 (*.f64 (sin.f64 v) (*.f64 (*.f64 e e) (cos.f64 v)))) |
(*.f64 (sin.f64 v) (*.f64 (*.f64 e e) (neg.f64 (cos.f64 v)))) |
(*.f64 (*.f64 e e) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) |
(*.f64 e (*.f64 (sin.f64 v) (*.f64 e (neg.f64 (cos.f64 v))))) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)) |
(pow.f64 e 2) |
(*.f64 e e) |
(+.f64 (pow.f64 e 2) (*.f64 -1/2 (*.f64 (pow.f64 v 2) (pow.f64 e 2)))) |
(+.f64 (*.f64 e e) (*.f64 -1/2 (*.f64 (*.f64 e e) (*.f64 v v)))) |
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 v v)) 1) (*.f64 e e)) |
(*.f64 (*.f64 e e) (fma.f64 -1/2 (*.f64 v v) 1)) |
(+.f64 (pow.f64 e 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) (pow.f64 e 2))) (*.f64 1/24 (*.f64 (pow.f64 v 4) (pow.f64 e 2))))) |
(+.f64 (*.f64 e e) (fma.f64 -1/2 (*.f64 (*.f64 e e) (*.f64 v v)) (*.f64 1/24 (*.f64 (*.f64 e e) (pow.f64 v 4))))) |
(fma.f64 e e (*.f64 (*.f64 e e) (+.f64 (*.f64 -1/2 (*.f64 v v)) (*.f64 1/24 (pow.f64 v 4))))) |
(*.f64 (*.f64 e e) (+.f64 (fma.f64 -1/2 (*.f64 v v) 1) (*.f64 1/24 (pow.f64 v 4)))) |
(*.f64 (*.f64 e e) (+.f64 (*.f64 1/24 (pow.f64 v 4)) (fma.f64 -1/2 (*.f64 v v) 1))) |
(+.f64 (pow.f64 e 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) (pow.f64 e 2))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 v 6) (pow.f64 e 2))) (*.f64 1/24 (*.f64 (pow.f64 v 4) (pow.f64 e 2)))))) |
(+.f64 (*.f64 e e) (fma.f64 -1/2 (*.f64 (*.f64 e e) (*.f64 v v)) (fma.f64 -1/720 (*.f64 (*.f64 e e) (pow.f64 v 6)) (*.f64 1/24 (*.f64 (*.f64 e e) (pow.f64 v 4)))))) |
(fma.f64 e e (fma.f64 -1/2 (*.f64 v (*.f64 v (*.f64 e e))) (*.f64 (*.f64 e e) (+.f64 (*.f64 1/24 (pow.f64 v 4)) (*.f64 -1/720 (pow.f64 v 6)))))) |
(fma.f64 e e (*.f64 (*.f64 e e) (+.f64 (*.f64 1/24 (pow.f64 v 4)) (fma.f64 -1/2 (*.f64 v v) (*.f64 -1/720 (pow.f64 v 6)))))) |
(*.f64 (*.f64 e e) (+.f64 (fma.f64 -1/2 (*.f64 v v) 1) (fma.f64 -1/720 (pow.f64 v 6) (*.f64 1/24 (pow.f64 v 4))))) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (*.f64 e e) (cos.f64 v)) |
(*.f64 e (*.f64 e (cos.f64 v))) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (*.f64 e e) (cos.f64 v)) |
(*.f64 e (*.f64 e (cos.f64 v))) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (*.f64 e e) (cos.f64 v)) |
(*.f64 e (*.f64 e (cos.f64 v))) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (*.f64 e e) (cos.f64 v)) |
(*.f64 e (*.f64 e (cos.f64 v))) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (*.f64 e e) (cos.f64 v)) |
(*.f64 e (*.f64 e (cos.f64 v))) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (*.f64 e e) (cos.f64 v)) |
(*.f64 e (*.f64 e (cos.f64 v))) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (*.f64 e e) (cos.f64 v)) |
(*.f64 e (*.f64 e (cos.f64 v))) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (*.f64 e e) (cos.f64 v)) |
(*.f64 e (*.f64 e (cos.f64 v))) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (*.f64 e e) (cos.f64 v)) |
(*.f64 e (*.f64 e (cos.f64 v))) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (*.f64 e e) (cos.f64 v)) |
(*.f64 e (*.f64 e (cos.f64 v))) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (*.f64 e e) (cos.f64 v)) |
(*.f64 e (*.f64 e (cos.f64 v))) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (*.f64 e e) (cos.f64 v)) |
(*.f64 e (*.f64 e (cos.f64 v))) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (*.f64 e e) (cos.f64 v)) |
(*.f64 e (*.f64 e (cos.f64 v))) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (*.f64 e e) (cos.f64 v)) |
(*.f64 e (*.f64 e (cos.f64 v))) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (*.f64 e e) (cos.f64 v)) |
(*.f64 e (*.f64 e (cos.f64 v))) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (*.f64 e e) (cos.f64 v)) |
(*.f64 e (*.f64 e (cos.f64 v))) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (*.f64 e e) (cos.f64 v)) |
(*.f64 e (*.f64 e (cos.f64 v))) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (*.f64 e e) (cos.f64 v)) |
(*.f64 e (*.f64 e (cos.f64 v))) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (*.f64 e e) (cos.f64 v)) |
(*.f64 e (*.f64 e (cos.f64 v))) |
(*.f64 (cos.f64 v) (pow.f64 e 2)) |
(*.f64 (*.f64 e e) (cos.f64 v)) |
(*.f64 e (*.f64 e (cos.f64 v))) |
e |
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e) |
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v))) |
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) |
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e) |
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e) |
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v))) |
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) |
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e) |
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e) |
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v))) |
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) |
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e) |
(*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) |
(neg.f64 (*.f64 (*.f64 e e) (cos.f64 v))) |
(*.f64 (*.f64 e e) (neg.f64 (cos.f64 v))) |
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e) |
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v))) |
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) |
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e) |
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e) |
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v))) |
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) |
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e) |
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e) |
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v))) |
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) |
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e) |
(*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) |
(neg.f64 (*.f64 (*.f64 e e) (cos.f64 v))) |
(*.f64 (*.f64 e e) (neg.f64 (cos.f64 v))) |
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e) |
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v))) |
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) |
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e) |
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e) |
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v))) |
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) |
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e) |
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e) |
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v))) |
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) |
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e) |
(-.f64 e (pow.f64 e 2)) |
(-.f64 e (*.f64 e e)) |
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 v 2) (pow.f64 e 2))) e) (pow.f64 e 2)) |
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 e e) (*.f64 v v)) e) (*.f64 e e)) |
(-.f64 (fma.f64 1/2 (*.f64 v (*.f64 v (*.f64 e e))) e) (*.f64 e e)) |
(+.f64 e (*.f64 e (-.f64 (*.f64 e (*.f64 1/2 (*.f64 v v))) e))) |
(-.f64 e (*.f64 (*.f64 e e) (fma.f64 -1/2 (*.f64 v v) 1))) |
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 v 2) (pow.f64 e 2))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 v 4) (pow.f64 e 2))) e)) (pow.f64 e 2)) |
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 e e) (*.f64 v v)) (fma.f64 -1/24 (*.f64 (*.f64 e e) (pow.f64 v 4)) e)) (*.f64 e e)) |
(+.f64 (*.f64 (*.f64 e e) (+.f64 (*.f64 1/2 (*.f64 v v)) (*.f64 -1/24 (pow.f64 v 4)))) (-.f64 e (*.f64 e e))) |
(-.f64 (fma.f64 (*.f64 e e) (fma.f64 1/2 (*.f64 v v) (*.f64 -1/24 (pow.f64 v 4))) e) (*.f64 e e)) |
(+.f64 e (*.f64 (*.f64 e e) (+.f64 -1 (fma.f64 1/2 (*.f64 v v) (*.f64 -1/24 (pow.f64 v 4)))))) |
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 v 2) (pow.f64 e 2))) (+.f64 (*.f64 1/720 (*.f64 (pow.f64 v 6) (pow.f64 e 2))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 v 4) (pow.f64 e 2))) e))) (pow.f64 e 2)) |
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 e e) (*.f64 v v)) (fma.f64 1/720 (*.f64 (*.f64 e e) (pow.f64 v 6)) (fma.f64 -1/24 (*.f64 (*.f64 e e) (pow.f64 v 4)) e))) (*.f64 e e)) |
(+.f64 (*.f64 (*.f64 e e) (+.f64 (*.f64 1/2 (*.f64 v v)) (*.f64 1/720 (pow.f64 v 6)))) (-.f64 (fma.f64 -1/24 (*.f64 e (*.f64 e (pow.f64 v 4))) e) (*.f64 e e))) |
(+.f64 (*.f64 (*.f64 e e) (+.f64 (*.f64 1/2 (*.f64 v v)) (fma.f64 1/720 (pow.f64 v 6) (*.f64 -1/24 (pow.f64 v 4))))) (-.f64 e (*.f64 e e))) |
(+.f64 e (*.f64 (*.f64 e e) (+.f64 (fma.f64 1/720 (pow.f64 v 6) (*.f64 -1/24 (pow.f64 v 4))) (+.f64 -1 (*.f64 1/2 (*.f64 v v)))))) |
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2))) |
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v))) |
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) |
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e) |
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2))) |
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v))) |
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) |
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e) |
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2))) |
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v))) |
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) |
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e) |
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2))) |
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v))) |
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) |
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e) |
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2))) |
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v))) |
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) |
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e) |
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2))) |
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v))) |
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) |
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e) |
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2))) |
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v))) |
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) |
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e) |
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2))) |
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v))) |
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) |
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 e (sin.f64 v)) | |
| ✓ | 0.1b | (pow.f64 (*.f64 e (sin.f64 v)) 3) |
| 0.1b | (*.f64 e (cos.f64 v)) | |
| ✓ | 36.1b | (cbrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3)) |
Compiled 51 to 21 computations (58.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | e | @ | -inf | (cbrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3)) |
| 2.0ms | v | @ | 0 | (pow.f64 (*.f64 e (sin.f64 v)) 3) |
| 1.0ms | v | @ | -inf | (pow.f64 (*.f64 e (sin.f64 v)) 3) |
| 1.0ms | v | @ | inf | (pow.f64 (*.f64 e (sin.f64 v)) 3) |
| 1.0ms | e | @ | 0 | (pow.f64 (*.f64 e (sin.f64 v)) 3) |
| 1× | batch-egg-rewrite |
| 645× | pow1_binary64 |
| 603× | add-log-exp_binary64 |
| 603× | log1p-expm1-u_binary64 |
| 603× | expm1-log1p-u_binary64 |
| 586× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 168 | 15 |
| 2 | 1728 | 15 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3)) |
(pow.f64 (*.f64 e (sin.f64 v)) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 e (sin.f64 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) e)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 e (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) (pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) (pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 2) (cbrt.f64 (*.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 e) 2) (*.f64 (cbrt.f64 e) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) (sqrt.f64 (*.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 v)) (*.f64 (sqrt.f64 (sin.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) 2) 1/3) (cbrt.f64 (*.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 e (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 2)) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) (pow.f64 (cbrt.f64 e) 2)) (cbrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 e (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 e) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 e (sin.f64 v)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 e (sin.f64 v)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (*.f64 (sin.f64 v) (pow.f64 (*.f64 e (sin.f64 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) (*.f64 e (pow.f64 (*.f64 e (sin.f64 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (sin.f64 v)) (pow.f64 (*.f64 e (sin.f64 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 e (sin.f64 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 e (sin.f64 v)) 2) (*.f64 e (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 2) (*.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) (pow.f64 (*.f64 e (sin.f64 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) (*.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) (pow.f64 (*.f64 e (sin.f64 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 e 3) (pow.f64 (sin.f64 v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3/2) (pow.f64 (*.f64 e (sin.f64 v)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 2) 3) (*.f64 e (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 3) (pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) 2) e) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) 2) (sin.f64 v)) e)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) 2) 1) (*.f64 e (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) 2) (pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 2)) (cbrt.f64 (*.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) 2) (sqrt.f64 (*.f64 e (sin.f64 v)))) (sqrt.f64 (*.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 e (sin.f64 v))))))))) |
| 1× | egg-herbie |
| 1159× | distribute-rgt-in_binary64 |
| 671× | distribute-rgt-out_binary64 |
| 650× | fma-def_binary64 |
| 459× | associate-*l*_binary64 |
| 418× | associate-*r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 632 |
| 1 | 232 | 619 |
| 2 | 852 | 572 |
| 3 | 4331 | 568 |
| 4 | 6643 | 565 |
| 5 | 6769 | 565 |
| 6 | 6906 | 565 |
| 7 | 7060 | 565 |
| 8 | 7248 | 565 |
| 9 | 7438 | 565 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) e))) |
(*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) e))) |
(*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) e))) |
(*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) e))) |
(*.f64 v e) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (*.f64 v e)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (+.f64 (*.f64 v e) (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e))))) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 v 3) (pow.f64 e 3)) |
(+.f64 (*.f64 (pow.f64 v 3) (pow.f64 e 3)) (*.f64 (pow.f64 v 5) (+.f64 (*.f64 -1/3 (pow.f64 e 3)) (*.f64 -1/6 (pow.f64 e 3))))) |
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 e 2)) (*.f64 1/60 (pow.f64 e 2))) e) (+.f64 (*.f64 1/120 (pow.f64 e 3)) (*.f64 1/18 (pow.f64 e 3)))) (pow.f64 v 7)) (+.f64 (*.f64 (pow.f64 v 3) (pow.f64 e 3)) (*.f64 (pow.f64 v 5) (+.f64 (*.f64 -1/3 (pow.f64 e 3)) (*.f64 -1/6 (pow.f64 e 3)))))) |
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 e 2)) (*.f64 1/60 (pow.f64 e 2))) e) (+.f64 (*.f64 1/120 (pow.f64 e 3)) (*.f64 1/18 (pow.f64 e 3)))) (pow.f64 v 7)) (+.f64 (*.f64 (pow.f64 v 9) (+.f64 (*.f64 e (+.f64 (*.f64 -1/2520 (pow.f64 e 2)) (*.f64 -1/360 (pow.f64 e 2)))) (+.f64 (*.f64 -1/5040 (pow.f64 e 3)) (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 e 2)) (*.f64 1/60 (pow.f64 e 2))) e)) (*.f64 -1/360 (pow.f64 e 3)))))) (+.f64 (*.f64 (pow.f64 v 3) (pow.f64 e 3)) (*.f64 (pow.f64 v 5) (+.f64 (*.f64 -1/3 (pow.f64 e 3)) (*.f64 -1/6 (pow.f64 e 3))))))) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
| Outputs |
|---|
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) e))) |
(neg.f64 (*.f64 (sin.f64 v) (*.f64 e (cbrt.f64 -1)))) |
(*.f64 (*.f64 e (cbrt.f64 -1)) (neg.f64 (sin.f64 v))) |
(*.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) (neg.f64 e))) |
(*.f64 (sin.f64 v) (*.f64 e (neg.f64 (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) e))) |
(neg.f64 (*.f64 (sin.f64 v) (*.f64 e (cbrt.f64 -1)))) |
(*.f64 (*.f64 e (cbrt.f64 -1)) (neg.f64 (sin.f64 v))) |
(*.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) (neg.f64 e))) |
(*.f64 (sin.f64 v) (*.f64 e (neg.f64 (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) e))) |
(neg.f64 (*.f64 (sin.f64 v) (*.f64 e (cbrt.f64 -1)))) |
(*.f64 (*.f64 e (cbrt.f64 -1)) (neg.f64 (sin.f64 v))) |
(*.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) (neg.f64 e))) |
(*.f64 (sin.f64 v) (*.f64 e (neg.f64 (cbrt.f64 -1)))) |
(*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) e))) |
(neg.f64 (*.f64 (sin.f64 v) (*.f64 e (cbrt.f64 -1)))) |
(*.f64 (*.f64 e (cbrt.f64 -1)) (neg.f64 (sin.f64 v))) |
(*.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) (neg.f64 e))) |
(*.f64 (sin.f64 v) (*.f64 e (neg.f64 (cbrt.f64 -1)))) |
(*.f64 v e) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (*.f64 v e)) |
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (*.f64 v e)) |
(*.f64 e (+.f64 (*.f64 -1/6 (pow.f64 v 3)) v)) |
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e))) |
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (*.f64 v e))) |
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (*.f64 e (+.f64 v (*.f64 1/120 (pow.f64 v 5))))) |
(*.f64 e (+.f64 (fma.f64 1/120 (pow.f64 v 5) v) (*.f64 -1/6 (pow.f64 v 3)))) |
(*.f64 e (+.f64 (*.f64 1/120 (pow.f64 v 5)) (fma.f64 -1/6 (pow.f64 v 3) v))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (+.f64 (*.f64 v e) (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e))))) |
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (fma.f64 v e (*.f64 -1/5040 (*.f64 e (pow.f64 v 7)))))) |
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (*.f64 e (+.f64 v (*.f64 -1/5040 (pow.f64 v 7)))))) |
(*.f64 e (+.f64 (fma.f64 -1/5040 (pow.f64 v 7) v) (fma.f64 -1/6 (pow.f64 v 3) (*.f64 1/120 (pow.f64 v 5))))) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 v 3) (pow.f64 e 3)) |
(pow.f64 (*.f64 v e) 3) |
(+.f64 (*.f64 (pow.f64 v 3) (pow.f64 e 3)) (*.f64 (pow.f64 v 5) (+.f64 (*.f64 -1/3 (pow.f64 e 3)) (*.f64 -1/6 (pow.f64 e 3))))) |
(fma.f64 (pow.f64 v 3) (pow.f64 e 3) (*.f64 (pow.f64 v 5) (*.f64 (pow.f64 e 3) -1/2))) |
(fma.f64 (pow.f64 v 3) (pow.f64 e 3) (*.f64 (pow.f64 e 3) (*.f64 -1/2 (pow.f64 v 5)))) |
(*.f64 (pow.f64 e 3) (+.f64 (pow.f64 v 3) (*.f64 (pow.f64 v 5) -1/2))) |
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 e 2)) (*.f64 1/60 (pow.f64 e 2))) e) (+.f64 (*.f64 1/120 (pow.f64 e 3)) (*.f64 1/18 (pow.f64 e 3)))) (pow.f64 v 7)) (+.f64 (*.f64 (pow.f64 v 3) (pow.f64 e 3)) (*.f64 (pow.f64 v 5) (+.f64 (*.f64 -1/3 (pow.f64 e 3)) (*.f64 -1/6 (pow.f64 e 3)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 e e) 2/45) e (*.f64 (pow.f64 e 3) 23/360)) (pow.f64 v 7) (fma.f64 (pow.f64 v 3) (pow.f64 e 3) (*.f64 (pow.f64 v 5) (*.f64 (pow.f64 e 3) -1/2)))) |
(fma.f64 (pow.f64 v 7) (fma.f64 (pow.f64 e 3) 23/360 (*.f64 (pow.f64 e 3) 2/45)) (fma.f64 (pow.f64 v 3) (pow.f64 e 3) (*.f64 (pow.f64 e 3) (*.f64 -1/2 (pow.f64 v 5))))) |
(fma.f64 (pow.f64 v 7) (*.f64 (pow.f64 e 3) 13/120) (*.f64 (pow.f64 e 3) (+.f64 (pow.f64 v 3) (*.f64 (pow.f64 v 5) -1/2)))) |
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 e 2)) (*.f64 1/60 (pow.f64 e 2))) e) (+.f64 (*.f64 1/120 (pow.f64 e 3)) (*.f64 1/18 (pow.f64 e 3)))) (pow.f64 v 7)) (+.f64 (*.f64 (pow.f64 v 9) (+.f64 (*.f64 e (+.f64 (*.f64 -1/2520 (pow.f64 e 2)) (*.f64 -1/360 (pow.f64 e 2)))) (+.f64 (*.f64 -1/5040 (pow.f64 e 3)) (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 e 2)) (*.f64 1/60 (pow.f64 e 2))) e)) (*.f64 -1/360 (pow.f64 e 3)))))) (+.f64 (*.f64 (pow.f64 v 3) (pow.f64 e 3)) (*.f64 (pow.f64 v 5) (+.f64 (*.f64 -1/3 (pow.f64 e 3)) (*.f64 -1/6 (pow.f64 e 3))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 e e) 2/45) e (*.f64 (pow.f64 e 3) 23/360)) (pow.f64 v 7) (fma.f64 (pow.f64 v 9) (fma.f64 e (*.f64 (*.f64 e e) -1/315) (fma.f64 -1/5040 (pow.f64 e 3) (fma.f64 -1/6 (*.f64 e (*.f64 (*.f64 e e) 2/45)) (*.f64 (pow.f64 e 3) -1/360)))) (fma.f64 (pow.f64 v 3) (pow.f64 e 3) (*.f64 (pow.f64 v 5) (*.f64 (pow.f64 e 3) -1/2))))) |
(fma.f64 (pow.f64 v 7) (fma.f64 (pow.f64 e 3) 23/360 (*.f64 (pow.f64 e 3) 2/45)) (fma.f64 (pow.f64 v 9) (+.f64 (*.f64 (pow.f64 e 3) -1/315) (fma.f64 -1/5040 (pow.f64 e 3) (fma.f64 -1/6 (*.f64 (pow.f64 e 3) 2/45) (*.f64 (pow.f64 e 3) -1/360)))) (fma.f64 (pow.f64 v 3) (pow.f64 e 3) (*.f64 (pow.f64 e 3) (*.f64 -1/2 (pow.f64 v 5)))))) |
(fma.f64 (pow.f64 v 7) (*.f64 (pow.f64 e 3) 13/120) (fma.f64 (pow.f64 v 9) (+.f64 (fma.f64 -1/5040 (pow.f64 e 3) (*.f64 (pow.f64 e 3) -1/135)) (*.f64 (pow.f64 e 3) -1/168)) (*.f64 (pow.f64 e 3) (+.f64 (pow.f64 v 3) (*.f64 (pow.f64 v 5) -1/2))))) |
(fma.f64 (pow.f64 v 7) (*.f64 (pow.f64 e 3) 13/120) (fma.f64 (pow.f64 v 9) (+.f64 (*.f64 e (*.f64 (*.f64 e e) -11/1080)) (*.f64 (pow.f64 e 3) -17/5040)) (*.f64 (pow.f64 e 3) (+.f64 (pow.f64 v 3) (*.f64 (pow.f64 v 5) -1/2))))) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) | |
| ✓ | 0.1b | (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
| ✓ | 0.1b | (*.f64 e (log.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) |
| ✓ | 1.9b | (log.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) |
Compiled 53 to 25 computations (52.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | e | @ | -inf | (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
| 1.0ms | e | @ | 0 | (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
| 1.0ms | e | @ | inf | (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
| 1.0ms | v | @ | 0 | (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
| 1.0ms | v | @ | 0 | (log.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) |
| 1× | batch-egg-rewrite |
| 964× | pow1_binary64 |
| 883× | log1p-expm1-u_binary64 |
| 883× | expm1-log1p-u_binary64 |
| 882× | add-log-exp_binary64 |
| 861× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 41 |
| 1 | 198 | 41 |
| 2 | 2361 | 41 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) |
(*.f64 e (log.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) |
(exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) (/.f64 1 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2) (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) (/.f64 1 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 v)) (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 v)) (/.f64 1 (neg.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 v)) 1) (/.f64 (sqrt.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (/.f64 (sin.f64 v) (cbrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 v)) (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (/.f64 (sqrt.f64 (sin.f64 v)) (cbrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 e (cos.f64 v) 1))) (/.f64 (sin.f64 v) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))) (/.f64 (cbrt.f64 (sin.f64 v)) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (/.f64 (fma.f64 e (cos.f64 v) 1) (cbrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) 1) (sqrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 v)) (neg.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 v) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))) (sqrt.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 v) 1) (fma.f64 e (cos.f64 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 v) (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (cbrt.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 v) (neg.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (fma.f64 e (cos.f64 v) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 v)) e) (neg.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (neg.f64 (sin.f64 v))) (neg.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 e 3) (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3) (pow.f64 e 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2) (cbrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) (sqrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sin.f64 v)) (/.f64 1 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2)) (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))))) |
| 1× | egg-herbie |
| 901× | times-frac_binary64 |
| 524× | associate-/r*_binary64 |
| 460× | associate-/l*_binary64 |
| 311× | distribute-rgt-in_binary64 |
| 299× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 225 | 2743 |
| 1 | 715 | 2610 |
| 2 | 2756 | 2558 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 v (+.f64 1 e)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e))) |
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e)))) |
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 7) (+.f64 (*.f64 -1/720 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2))))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/5040 (/.f64 1 (+.f64 1 e)))))))) (/.f64 v (+.f64 1 e))))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(sin.f64 v) |
(+.f64 (sin.f64 v) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))) |
(+.f64 (sin.f64 v) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))) |
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))) |
(*.f64 (sin.f64 v) e) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (*.f64 v e) (+.f64 1 e))) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (+.f64 (*.f64 (pow.f64 v 7) (-.f64 (*.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (*.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
1 |
(+.f64 1 (/.f64 v (+.f64 1 e))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2))) (+.f64 1 (/.f64 v (+.f64 1 e)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2))) (+.f64 1 (+.f64 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e))))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 1 e) 3))))) (/.f64 v (+.f64 1 e))))) |
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
(exp.f64 (sin.f64 v)) |
(+.f64 (exp.f64 (sin.f64 v)) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 (exp.f64 (sin.f64 v)) e))))) |
(+.f64 (exp.f64 (sin.f64 v)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 (exp.f64 (sin.f64 v)) e)))) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))) (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))) (*.f64 (exp.f64 (sin.f64 v)) (pow.f64 e 2))))) |
(+.f64 (exp.f64 (sin.f64 v)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 (exp.f64 (sin.f64 v)) e)))) (+.f64 (*.f64 (exp.f64 (sin.f64 v)) (*.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))) (*.f64 -1/6 (*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))))) (pow.f64 e 3))) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))) (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))) (*.f64 (exp.f64 (sin.f64 v)) (pow.f64 e 2)))))) |
1 |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) 1) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))))) |
1 |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) 1) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))) (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))))) (pow.f64 e 3))) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))))) |
| Outputs |
|---|
(/.f64 v (+.f64 1 e)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e))) |
(fma.f64 -1 (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))) (/.f64 v (+.f64 1 e))) |
(-.f64 (/.f64 v (+.f64 1 e)) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))))) |
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e)))) |
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) (*.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24))) (fma.f64 -1 (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))) (/.f64 v (+.f64 1 e)))) |
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) (/.f64 1/24 (/.f64 (pow.f64 (+.f64 1 e) 2) e)))) (-.f64 (/.f64 v (+.f64 1 e)) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))))) |
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (/.f64 (+.f64 1 e) e) 1/2)))) (-.f64 (/.f64 v (+.f64 1 e)) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))))) |
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 7) (+.f64 (*.f64 -1/720 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2))))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/5040 (/.f64 1 (+.f64 1 e)))))))) (/.f64 v (+.f64 1 e))))) |
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) (*.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24))) (fma.f64 -1 (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))) (fma.f64 -1 (*.f64 (pow.f64 v 7) (fma.f64 -1/720 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) (*.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24))) (/.f64 (+.f64 1 e) e)) (fma.f64 -1/24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) (/.f64 1/5040 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e))))) |
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) (/.f64 1/24 (/.f64 (pow.f64 (+.f64 1 e) 2) e)))) (-.f64 (-.f64 (/.f64 v (+.f64 1 e)) (*.f64 (pow.f64 v 7) (fma.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) -1/720 (fma.f64 -1/2 (/.f64 e (/.f64 (+.f64 1 e) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) (/.f64 1/24 (/.f64 (pow.f64 (+.f64 1 e) 2) e)))))) (fma.f64 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) -1/24 (/.f64 1/5040 (+.f64 1 e))))))) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))))) |
(-.f64 (fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (/.f64 (+.f64 1 e) e) 1/2)))) (-.f64 (/.f64 v (+.f64 1 e)) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))))) (*.f64 (pow.f64 v 7) (fma.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) -1/720 (fma.f64 -1/2 (*.f64 (/.f64 e (+.f64 1 e)) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (/.f64 (+.f64 1 e) e) 1/2))))) (fma.f64 (*.f64 (/.f64 e (+.f64 1 e)) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))) -1/24 (/.f64 1/5040 (+.f64 1 e))))))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))) |
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))) |
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))) |
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))) |
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))) |
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))) |
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))) |
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))) |
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) |
(sin.f64 v) |
(+.f64 (sin.f64 v) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))) |
(+.f64 (sin.f64 v) (neg.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) e))) |
(-.f64 (sin.f64 v) (*.f64 e (*.f64 (sin.f64 v) (cos.f64 v)))) |
(+.f64 (sin.f64 v) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))) |
(+.f64 (sin.f64 v) (fma.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)) (neg.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) e)))) |
(-.f64 (*.f64 (+.f64 (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))) 1) (sin.f64 v)) (*.f64 e (*.f64 (sin.f64 v) (cos.f64 v)))) |
(*.f64 (sin.f64 v) (-.f64 (+.f64 (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))) 1) (*.f64 e (cos.f64 v)))) |
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))))) |
(+.f64 (sin.f64 v) (fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (fma.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)) (neg.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) e))))) |
(+.f64 (sin.f64 v) (-.f64 (-.f64 (*.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (*.f64 e (*.f64 (sin.f64 v) (cos.f64 v)))) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))) |
(-.f64 (*.f64 (sin.f64 v) (-.f64 (+.f64 (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))) 1) (*.f64 e (cos.f64 v)))) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) |
(/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))))) |
(-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))))) |
(-.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))))) |
(+.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 3)) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))))) |
(+.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) |
(/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) |
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(*.f64 (sin.f64 v) e) |
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(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (*.f64 e (sin.f64 v))) |
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(/.f64 (*.f64 v e) (+.f64 1 e)) |
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(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v)))) |
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(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v)))) |
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e) |
1 |
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(fma.f64 1/2 (/.f64 (*.f64 v v) (pow.f64 (+.f64 1 e) 2)) (+.f64 1 (/.f64 v (+.f64 1 e)))) |
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(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))) |
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(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))) |
(exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))) |
(exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))) |
(exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))) |
(exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))) |
(exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))) |
(exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
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(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))) |
(exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
(exp.f64 (sin.f64 v)) |
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1 |
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(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (+.f64 (+.f64 1 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)))))) |
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(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)))))))) |
(+.f64 (-.f64 (+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))))))) (/.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3))) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))))) |
(+.f64 (+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (/.f64 (sin.f64 v) (cos.f64 v)) 3) (pow.f64 e 3)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 3)) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2)))) (-.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)))) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e))) |
1 |
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(+.f64 1 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))))) |
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (+.f64 (+.f64 1 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)))))) |
(+.f64 (-.f64 1 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))))) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))))) |
(+.f64 (-.f64 1 (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2))) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))) (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))))) (pow.f64 e 3))) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))))) |
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (fma.f64 -1 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (/.f64 (*.f64 -1/6 (pow.f64 (sin.f64 v) 3)) (pow.f64 (cos.f64 v) 3)))) (pow.f64 e 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)))))))) |
(+.f64 (-.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)))) (pow.f64 e 3))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))))) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))))) |
(+.f64 (-.f64 1 (+.f64 (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2)) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (-.f64 (*.f64 -1/6 (pow.f64 (/.f64 (sin.f64 v) (cos.f64 v)) 3)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)))) (pow.f64 e 3)))) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e))) |
Compiled 19758 to 9313 computations (52.9% saved)
26 alts after pruning (24 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 820 | 24 | 844 |
| Fresh | 11 | 0 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 2 | 4 |
| Total | 834 | 26 | 860 |
| Status | Error | Program |
|---|---|---|
| 0.8b | (*.f64 (sin.f64 v) e) | |
| 48.4b | (-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1) | |
| ▶ | 15.5b | (*.f64 e (log.f64 (exp.f64 (sin.f64 v)))) |
| 15.2b | (*.f64 e (log.f64 (log.f64 (exp.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) | |
| 0.5b | (*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e))) | |
| 1.0b | (/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) e)) (+.f64 1 (*.f64 e (cos.f64 v)))) | |
| 31.9b | (*.f64 e (pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 2)) | |
| 36.4b | (/.f64 (cbrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3)) (+.f64 1 e)) | |
| 25.9b | (pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) 2) | |
| 63.1b | (*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e)) | |
| ▶ | 1.6b | (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) 3) |
| 33.1b | (*.f64 v (-.f64 e (*.f64 e e))) | |
| 61.3b | v | |
| ▶ | 0.2b | (*.f64 e (expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))) |
| 0.3b | (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) | |
| 47.4b | (*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1)) | |
| 9.6b | (*.f64 e (cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 3))) | |
| 32.0b | (/.f64 (*.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v))) (+.f64 1 (*.f64 e (cos.f64 v)))) | |
| 15.1b | (*.f64 e (-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)) | |
| ✓ | 0.1b | (*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
| 33.0b | (/.f64 e (/.f64 (+.f64 e 1) v)) | |
| ▶ | 33.2b | (*.f64 v e) |
| ✓ | 0.5b | (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) |
| 62.7b | (-.f64 v (/.f64 v e)) | |
| 1.1b | (/.f64 1 (/.f64 (fma.f64 (cos.f64 v) e 1) (*.f64 e (sin.f64 v)))) | |
| ▶ | 33.9b | (/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v))) |
Compiled 603 to 417 computations (30.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) |
| ✓ | 0.1b | (*.f64 e (expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))) |
| ✓ | 0.2b | (expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))) |
| ✓ | 0.3b | (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) |
Compiled 53 to 25 computations (52.8% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | v | @ | inf | (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) |
| 25.0ms | v | @ | -inf | (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) |
| 2.0ms | e | @ | inf | (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) |
| 1.0ms | e | @ | 0 | (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) |
| 1.0ms | v | @ | 0 | (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) |
| 1× | batch-egg-rewrite |
| 976× | pow1_binary64 |
| 895× | add-log-exp_binary64 |
| 895× | expm1-log1p-u_binary64 |
| 894× | log1p-expm1-u_binary64 |
| 97× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 53 |
| 1 | 196 | 53 |
| 2 | 2382 | 53 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) |
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))) |
(*.f64 e (expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))) |
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))) (sqrt.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) (/.f64 1 (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 2) (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) (/.f64 1 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 v)) (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 v)) (/.f64 1 (neg.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (cos.f64 v) e 1)) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 v)) (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 v)) 1) (/.f64 (sqrt.f64 (sin.f64 v)) (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 v) e 1)) 2)) (/.f64 (sin.f64 v) (cbrt.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 v) e 1)) 2)) (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 v)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 v) e 1)) 2)) (/.f64 (sqrt.f64 (sin.f64 v)) (cbrt.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 (cos.f64 v) e 1))) (/.f64 (sin.f64 v) (sqrt.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (sqrt.f64 (fma.f64 (cos.f64 v) e 1))) (/.f64 (cbrt.f64 (sin.f64 v)) (sqrt.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (/.f64 (fma.f64 (cos.f64 v) e 1) (cbrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 v)) (/.f64 (fma.f64 (cos.f64 v) e 1) (sqrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 v)) (neg.f64 (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 v) (sqrt.f64 (fma.f64 (cos.f64 v) e 1))) (sqrt.f64 (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 3) 1) (+.f64 (*.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))) 1) (+.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 v) 1) (fma.f64 (cos.f64 v) e 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 v) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 v) e 1)) 2)) (cbrt.f64 (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 v) (neg.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (fma.f64 (cos.f64 v) e 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 v)) e) (neg.f64 (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (neg.f64 (sin.f64 v))) (neg.f64 (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 e 3) (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 3) (pow.f64 e 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) (/.f64 1 (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 2) (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) (/.f64 1 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 v)) (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 v)) (/.f64 1 (neg.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (cos.f64 v) e 1)) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 v)) (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 v)) 1) (/.f64 (sqrt.f64 (sin.f64 v)) (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 v) e 1)) 2)) (/.f64 (sin.f64 v) (cbrt.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 v) e 1)) 2)) (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 v)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 v) e 1)) 2)) (/.f64 (sqrt.f64 (sin.f64 v)) (cbrt.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 (cos.f64 v) e 1))) (/.f64 (sin.f64 v) (sqrt.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (sqrt.f64 (fma.f64 (cos.f64 v) e 1))) (/.f64 (cbrt.f64 (sin.f64 v)) (sqrt.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 v) (neg.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (fma.f64 (cos.f64 v) e 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))))))) |
| 1× | egg-herbie |
| 755× | associate-/l*_binary64 |
| 676× | associate-/r*_binary64 |
| 421× | distribute-rgt-in_binary64 |
| 411× | distribute-lft-in_binary64 |
| 246× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 269 | 4200 |
| 1 | 848 | 4038 |
| 2 | 3238 | 3963 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 v (+.f64 1 e)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2))) (/.f64 v (+.f64 1 e))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -6 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e))))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 e) 3)))))) (/.f64 v (+.f64 1 e)))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 v 4) (-.f64 (*.f64 24 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) (+.f64 1 e))) (*.f64 6 (/.f64 1 (pow.f64 (+.f64 1 e) 4)))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -6 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e))))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 e) 3)))))) (/.f64 v (+.f64 1 e))))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))) |
(log.f64 (+.f64 (sin.f64 v) 1)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (sin.f64 v) 1))) (log.f64 (+.f64 (sin.f64 v) 1))) |
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 e 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2)) (pow.f64 (+.f64 (sin.f64 v) 1) 2))) (*.f64 2 (/.f64 (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (+.f64 (sin.f64 v) 1)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (sin.f64 v) 1))) (log.f64 (+.f64 (sin.f64 v) 1)))) |
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 6 (/.f64 (*.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (pow.f64 (+.f64 (sin.f64 v) 1) 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3)) (pow.f64 (+.f64 (sin.f64 v) 1) 3))) (*.f64 -6 (/.f64 (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (+.f64 (sin.f64 v) 1))))) (pow.f64 e 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 e 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2)) (pow.f64 (+.f64 (sin.f64 v) 1) 2))) (*.f64 2 (/.f64 (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (+.f64 (sin.f64 v) 1)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (sin.f64 v) 1))) (log.f64 (+.f64 (sin.f64 v) 1))))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))) (*.f64 -2 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))) (pow.f64 e 2)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))) (*.f64 -2 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))) (pow.f64 e 2))) (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))) (+.f64 (*.f64 6 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3))) (*.f64 6 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))))) (pow.f64 e 3))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))) (*.f64 -2 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))) (pow.f64 e 2))) (+.f64 (*.f64 1/24 (/.f64 (+.f64 (*.f64 -6 (/.f64 (pow.f64 (sin.f64 v) 4) (pow.f64 (cos.f64 v) 4))) (+.f64 (*.f64 -24 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 4))) (+.f64 (*.f64 -24 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 4))) (+.f64 (*.f64 -12 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 4))) (*.f64 -24 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4))))))) (pow.f64 e 4))) (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))) (+.f64 (*.f64 6 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3))) (*.f64 6 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))))) (pow.f64 e 3)))))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))) (*.f64 -2 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))) (pow.f64 e 2)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))) (*.f64 -2 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))) (pow.f64 e 2))) (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -6 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))) (*.f64 -6 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3))))) (pow.f64 e 3))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))) (*.f64 -2 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))) (pow.f64 e 2))) (+.f64 (*.f64 1/24 (/.f64 (+.f64 (*.f64 -6 (/.f64 (pow.f64 (sin.f64 v) 4) (pow.f64 (cos.f64 v) 4))) (+.f64 (*.f64 -24 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 4))) (+.f64 (*.f64 -24 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 4))) (+.f64 (*.f64 -12 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 4))) (*.f64 -24 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4))))))) (pow.f64 e 4))) (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -6 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))) (*.f64 -6 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3))))) (pow.f64 e 3)))))) |
(/.f64 v (+.f64 1 e)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e))) |
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e)))) |
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 7) (+.f64 (*.f64 -1/720 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2))))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/5040 (/.f64 1 (+.f64 1 e)))))))) (/.f64 v (+.f64 1 e))))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(sin.f64 v) |
(+.f64 (sin.f64 v) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))) |
(+.f64 (sin.f64 v) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))) |
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))) |
(*.f64 (sin.f64 v) e) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (*.f64 v e) (+.f64 1 e))) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (+.f64 (*.f64 (pow.f64 v 7) (-.f64 (*.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (*.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 v (+.f64 1 e)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e))) |
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e)))) |
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 7) (+.f64 (*.f64 -1/720 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2))))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/5040 (/.f64 1 (+.f64 1 e)))))))) (/.f64 v (+.f64 1 e))))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(sin.f64 v) |
(+.f64 (sin.f64 v) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))) |
(+.f64 (sin.f64 v) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))) |
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))) |
| Outputs |
|---|
(/.f64 v (+.f64 1 e)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2))) (/.f64 v (+.f64 1 e))) |
(fma.f64 -1/2 (/.f64 (*.f64 v v) (pow.f64 (+.f64 1 e) 2)) (/.f64 v (+.f64 1 e))) |
(fma.f64 -1/2 (/.f64 v (/.f64 (pow.f64 (+.f64 1 e) 2) v)) (/.f64 v (+.f64 1 e))) |
(fma.f64 -1/2 (*.f64 (/.f64 v (pow.f64 (+.f64 1 e) 2)) v) (/.f64 v (+.f64 1 e))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -6 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e))))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 e) 3)))))) (/.f64 v (+.f64 1 e)))) |
(fma.f64 -1/2 (/.f64 (*.f64 v v) (pow.f64 (+.f64 1 e) 2)) (fma.f64 1/6 (*.f64 (pow.f64 v 3) (fma.f64 -6 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 2 (pow.f64 (+.f64 1 e) 3)))) (/.f64 v (+.f64 1 e)))) |
(fma.f64 -1/2 (/.f64 v (/.f64 (pow.f64 (+.f64 1 e) 2) v)) (fma.f64 1/6 (*.f64 (pow.f64 v 3) (fma.f64 -6 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 2 (pow.f64 (+.f64 1 e) 3)))) (/.f64 v (+.f64 1 e)))) |
(fma.f64 -1/2 (*.f64 (/.f64 v (pow.f64 (+.f64 1 e) 2)) v) (fma.f64 1/6 (*.f64 (pow.f64 v 3) (fma.f64 -6 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 2 (pow.f64 (+.f64 1 e) 3)))) (/.f64 v (+.f64 1 e)))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 v 4) (-.f64 (*.f64 24 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) (+.f64 1 e))) (*.f64 6 (/.f64 1 (pow.f64 (+.f64 1 e) 4)))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -6 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e))))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 e) 3)))))) (/.f64 v (+.f64 1 e))))) |
(fma.f64 -1/2 (/.f64 (*.f64 v v) (pow.f64 (+.f64 1 e) 2)) (fma.f64 1/24 (*.f64 (pow.f64 v 4) (-.f64 (*.f64 24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (+.f64 1 e))) (/.f64 6 (pow.f64 (+.f64 1 e) 4)))) (fma.f64 1/6 (*.f64 (pow.f64 v 3) (fma.f64 -6 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 2 (pow.f64 (+.f64 1 e) 3)))) (/.f64 v (+.f64 1 e))))) |
(fma.f64 -1/2 (/.f64 v (/.f64 (pow.f64 (+.f64 1 e) 2) v)) (fma.f64 1/24 (*.f64 (pow.f64 v 4) (fma.f64 24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (+.f64 1 e)) (/.f64 -6 (pow.f64 (+.f64 1 e) 4)))) (fma.f64 1/6 (*.f64 (pow.f64 v 3) (fma.f64 -6 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 2 (pow.f64 (+.f64 1 e) 3)))) (/.f64 v (+.f64 1 e))))) |
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(log1p.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))) |
(log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))) |
(log1p.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))) |
(log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))) |
(log1p.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))) |
(log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
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(log1p.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))) |
(log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))) |
(log1p.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))) |
(log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
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(log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
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(log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
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(log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
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(fma.f64 1/6 (*.f64 (fma.f64 6 (*.f64 (/.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 (+.f64 1 (sin.f64 v)) 2)) (pow.f64 (sin.f64 v) 2)) (fma.f64 -6 (*.f64 (/.f64 (pow.f64 (cos.f64 v) 3) (+.f64 1 (sin.f64 v))) (sin.f64 v)) (/.f64 (pow.f64 (sin.f64 v) 3) (/.f64 (pow.f64 (/.f64 (+.f64 1 (sin.f64 v)) (cos.f64 v)) 3) -2)))) (pow.f64 e 3)) (fma.f64 1/2 (*.f64 e (*.f64 e (-.f64 (*.f64 (/.f64 (*.f64 2 (sin.f64 v)) (+.f64 1 (sin.f64 v))) (pow.f64 (cos.f64 v) 2)) (*.f64 (/.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 (+.f64 1 (sin.f64 v)) 2)) (pow.f64 (sin.f64 v) 2))))) (-.f64 (log1p.f64 (sin.f64 v)) (*.f64 (/.f64 (sin.f64 v) (+.f64 1 (sin.f64 v))) (*.f64 e (cos.f64 v)))))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) |
(/.f64 (/.f64 (sin.f64 v) e) (cos.f64 v)) |
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(fma.f64 1/2 (/.f64 (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 -2 (cos.f64 v)) (/.f64 (sin.f64 v) (cos.f64 v)))) (*.f64 e e)) (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))) |
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(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 1/6 (/.f64 (fma.f64 2 (pow.f64 (/.f64 (sin.f64 v) (cos.f64 v)) 3) (*.f64 6 (+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))))) (pow.f64 e 3)) (*.f64 (/.f64 1/2 (*.f64 e e)) (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 -2 (cos.f64 v)) (/.f64 (sin.f64 v) (cos.f64 v))))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))) (*.f64 -2 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))) (pow.f64 e 2))) (+.f64 (*.f64 1/24 (/.f64 (+.f64 (*.f64 -6 (/.f64 (pow.f64 (sin.f64 v) 4) (pow.f64 (cos.f64 v) 4))) (+.f64 (*.f64 -24 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 4))) (+.f64 (*.f64 -24 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 4))) (+.f64 (*.f64 -12 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 4))) (*.f64 -24 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4))))))) (pow.f64 e 4))) (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))) (+.f64 (*.f64 6 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3))) (*.f64 6 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))))) (pow.f64 e 3)))))) |
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(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) |
(/.f64 (/.f64 (sin.f64 v) e) (cos.f64 v)) |
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(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24 (*.f64 1/2 (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (+.f64 1 e)) e)))) (-.f64 (-.f64 (/.f64 v (+.f64 1 e)) (*.f64 (pow.f64 v 7) (fma.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) -1/720 (fma.f64 -1/2 (/.f64 e (/.f64 (+.f64 1 e) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24 (*.f64 1/2 (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (+.f64 1 e)) e)))))) (fma.f64 (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (+.f64 1 e)) e) -1/24 (/.f64 1/5040 (+.f64 1 e))))))) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))))) |
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(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))) |
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(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))) |
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(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))) |
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(sin.f64 v) |
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(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
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(/.f64 (/.f64 (sin.f64 v) e) (cos.f64 v)) |
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(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
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(/.f64 (/.f64 (sin.f64 v) e) (cos.f64 v)) |
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(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
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(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (*.f64 e (sin.f64 v))) |
(fma.f64 e (sin.f64 v) (*.f64 (*.f64 (neg.f64 (sin.f64 v)) (cos.f64 v)) (*.f64 e e))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
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(/.f64 (sin.f64 v) (cos.f64 v)) |
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(/.f64 (sin.f64 v) (cos.f64 v)) |
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(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) |
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(/.f64 (*.f64 v e) (+.f64 1 e)) |
(*.f64 (/.f64 v (+.f64 1 e)) e) |
(*.f64 (/.f64 e (+.f64 1 e)) v) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (*.f64 v e) (+.f64 1 e))) |
(fma.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 1 e) 2)))) (/.f64 (*.f64 v e) (+.f64 1 e))) |
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 1 e)) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 1 e) 2)))) (*.f64 (/.f64 v (+.f64 1 e)) e)) |
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 1 e)) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 1 e) 2)))) (*.f64 (/.f64 e (+.f64 1 e)) v)) |
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(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 1 e)) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 1 e) 2)))) (fma.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 1 e)) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 1 e) 2)))) (+.f64 1 e)) e) (/.f64 (*.f64 1/24 (*.f64 e e)) (pow.f64 (+.f64 1 e) 2)))) (*.f64 (/.f64 v (+.f64 1 e)) e))) |
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(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2))))) |
(-.f64 (/.f64 (/.f64 (sin.f64 v) e) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))))) |
(-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))) |
(+.f64 (/.f64 (/.f64 (sin.f64 v) e) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))) |
(+.f64 (/.f64 (/.f64 (sin.f64 v) e) (cos.f64 v)) (-.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 4)) (pow.f64 (cos.f64 v) 4))))) |
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) |
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) |
(/.f64 (/.f64 (sin.f64 v) e) (cos.f64 v)) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2))))) |
(-.f64 (/.f64 (/.f64 (sin.f64 v) e) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))))) |
(-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))) |
(+.f64 (/.f64 (/.f64 (sin.f64 v) e) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))) |
(+.f64 (/.f64 (/.f64 (sin.f64 v) e) (cos.f64 v)) (-.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 4)) (pow.f64 (cos.f64 v) 4))))) |
Compiled 7 to 3 computations (57.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (+.f64 e 1) (*.f64 e v)) |
| ✓ | 1.1b | (/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v))) |
Compiled 27 to 14 computations (48.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | e | @ | -inf | (/.f64 (+.f64 e 1) (*.f64 e v)) |
| 1.0ms | e | @ | 0 | (/.f64 (+.f64 e 1) (*.f64 e v)) |
| 1.0ms | v | @ | 0 | (/.f64 (+.f64 e 1) (*.f64 e v)) |
| 0.0ms | e | @ | inf | (/.f64 (+.f64 e 1) (*.f64 e v)) |
| 0.0ms | v | @ | -inf | (/.f64 (+.f64 e 1) (*.f64 e v)) |
| 1× | batch-egg-rewrite |
| 991× | pow1_binary64 |
| 925× | log1p-expm1-u_binary64 |
| 925× | expm1-log1p-u_binary64 |
| 924× | add-log-exp_binary64 |
| 91× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 1 | 178 | 20 |
| 2 | 2560 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v))) |
(/.f64 (+.f64 e 1) (*.f64 e v)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 e (/.f64 (+.f64 1 e) v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 e (/.f64 (+.f64 1 e) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e v) (/.f64 1 (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (/.f64 (+.f64 1 e) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 e (/.f64 (+.f64 1 e) v))) (pow.f64 (cbrt.f64 (/.f64 e (/.f64 (+.f64 1 e) v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 e (/.f64 (+.f64 1 e) v))) 2) (cbrt.f64 (/.f64 e (/.f64 (+.f64 1 e) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 e (/.f64 (+.f64 1 e) v))) (sqrt.f64 (/.f64 e (/.f64 (+.f64 1 e) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (+.f64 -1 (neg.f64 e)) (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 e)) (*.f64 e v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 e)) (pow.f64 (/.f64 1 (*.f64 e v)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e 1) (/.f64 v (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v 1) (/.f64 e (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 e v)) 2) 1) (/.f64 (cbrt.f64 (*.f64 e v)) (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 e v)) 1) (/.f64 (sqrt.f64 (*.f64 e v)) (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 e)) 2)) (/.f64 (*.f64 e v) (cbrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (pow.f64 (cbrt.f64 (+.f64 1 e)) 2)) (/.f64 v (cbrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v (pow.f64 (cbrt.f64 (+.f64 1 e)) 2)) (/.f64 e (cbrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 e v)) 2) (pow.f64 (cbrt.f64 (+.f64 1 e)) 2)) (/.f64 (cbrt.f64 (*.f64 e v)) (cbrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 e v)) (pow.f64 (cbrt.f64 (+.f64 1 e)) 2)) (/.f64 (sqrt.f64 (*.f64 e v)) (cbrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 e))) (/.f64 (*.f64 e v) (sqrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (sqrt.f64 (+.f64 1 e))) (/.f64 v (sqrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v (sqrt.f64 (+.f64 1 e))) (/.f64 e (sqrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 e v)) 2) (sqrt.f64 (+.f64 1 e))) (/.f64 (cbrt.f64 (*.f64 e v)) (sqrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 e v)) (sqrt.f64 (+.f64 1 e))) (/.f64 (sqrt.f64 (*.f64 e v)) (sqrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (neg.f64 e))) (*.f64 e (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 e v) (+.f64 1 (pow.f64 e 3))) (fma.f64 e e (-.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 e v) (fma.f64 e e -1)) (+.f64 e -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 e)) 1) (*.f64 e v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 e)) e) v)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 e)) v) e)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 e)) (pow.f64 (cbrt.f64 (*.f64 e v)) 2)) (cbrt.f64 (*.f64 e v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 e)) (sqrt.f64 (*.f64 e v))) (sqrt.f64 (*.f64 e v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 e) (*.f64 e v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 e (/.f64 (+.f64 1 e) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 e (/.f64 (+.f64 1 e) v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 e (/.f64 (+.f64 1 e) v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 e (/.f64 (+.f64 1 e) v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 e) (*.f64 e v)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 e (/.f64 (+.f64 1 e) v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 e (/.f64 (+.f64 1 e) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 e (/.f64 (+.f64 1 e) v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 e v) 3) (pow.f64 (+.f64 1 e) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 e (/.f64 (+.f64 1 e) v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 e (/.f64 (+.f64 1 e) v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 e v)) (log1p.f64 e))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 e) (*.f64 e v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 e) (*.f64 e v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 e) (/.f64 1 (*.f64 e v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 e) (*.f64 e v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))) 2) (cbrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 e)) 2) (*.f64 (cbrt.f64 (+.f64 1 e)) (/.f64 1 (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))) (sqrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 e)) (*.f64 (sqrt.f64 (+.f64 1 e)) (/.f64 1 (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 e)) (/.f64 1 (*.f64 e (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 e v)) (+.f64 1 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 e)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 e)) (*.f64 e v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 e)) 1) (/.f64 (sqrt.f64 (+.f64 1 e)) (*.f64 e v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 e)) e) (/.f64 (sqrt.f64 (+.f64 1 e)) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 e) (/.f64 (+.f64 1 e) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 e)) 2) e) (/.f64 (cbrt.f64 (+.f64 1 e)) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 e)) v) (/.f64 (sqrt.f64 (+.f64 1 e)) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (/.f64 (+.f64 1 e) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 e)) 2) v) (/.f64 (cbrt.f64 (+.f64 1 e)) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 e v)) 2)) (/.f64 (+.f64 1 e) (cbrt.f64 (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 e)) 2) (pow.f64 (cbrt.f64 (*.f64 e v)) 2)) (cbrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 e)) (pow.f64 (cbrt.f64 (*.f64 e v)) 2)) (/.f64 (sqrt.f64 (+.f64 1 e)) (cbrt.f64 (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 e v))) (/.f64 (+.f64 1 e) (sqrt.f64 (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 e)) 2) (sqrt.f64 (*.f64 e v))) (/.f64 (cbrt.f64 (+.f64 1 e)) (sqrt.f64 (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 e) (*.f64 e v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 e (/.f64 (+.f64 1 e) v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 e) (*.f64 e v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 e) (*.f64 e (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 e) (*.f64 e v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 e) (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 e) (*.f64 e v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 e) (*.f64 e v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 e) 3) (pow.f64 (*.f64 e v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 e) (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 e) (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 e) (log.f64 (*.f64 e v)))))))) |
| 1× | egg-herbie |
| 733× | fma-def_binary64 |
| 463× | times-frac_binary64 |
| 436× | distribute-lft-out--_binary64 |
| 375× | distribute-rgt-neg-in_binary64 |
| 334× | distribute-lft-neg-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 548 |
| 1 | 107 | 536 |
| 2 | 270 | 526 |
| 3 | 970 | 509 |
| 4 | 4252 | 502 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 v e) |
(+.f64 (*.f64 v e) (*.f64 -1 (*.f64 v (pow.f64 e 2)))) |
(+.f64 (*.f64 v e) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 2))) (*.f64 v (pow.f64 e 3)))) |
(+.f64 (*.f64 v e) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 2))) (+.f64 (*.f64 v (pow.f64 e 3)) (*.f64 -1 (*.f64 v (pow.f64 e 4)))))) |
v |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2)))) |
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2))))) |
v |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2)))) |
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2))))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 1 (*.f64 v e)) |
(+.f64 (/.f64 1 v) (/.f64 1 (*.f64 v e))) |
(+.f64 (/.f64 1 v) (/.f64 1 (*.f64 v e))) |
(+.f64 (/.f64 1 v) (/.f64 1 (*.f64 v e))) |
(/.f64 1 v) |
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v)) |
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v)) |
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v)) |
(/.f64 1 v) |
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v)) |
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v)) |
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v)) |
(/.f64 (+.f64 1 e) (*.f64 v e)) |
(/.f64 (+.f64 1 e) (*.f64 v e)) |
(/.f64 (+.f64 1 e) (*.f64 v e)) |
(/.f64 (+.f64 1 e) (*.f64 v e)) |
(/.f64 (+.f64 1 e) (*.f64 v e)) |
(/.f64 (+.f64 1 e) (*.f64 v e)) |
(/.f64 (+.f64 1 e) (*.f64 v e)) |
(/.f64 (+.f64 1 e) (*.f64 v e)) |
(/.f64 (+.f64 1 e) (*.f64 v e)) |
(/.f64 (+.f64 1 e) (*.f64 v e)) |
(/.f64 (+.f64 1 e) (*.f64 v e)) |
(/.f64 (+.f64 1 e) (*.f64 v e)) |
| Outputs |
|---|
(*.f64 v e) |
(+.f64 (*.f64 v e) (*.f64 -1 (*.f64 v (pow.f64 e 2)))) |
(fma.f64 v e (neg.f64 (*.f64 v (*.f64 e e)))) |
(-.f64 (*.f64 v e) (*.f64 v (*.f64 e e))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(+.f64 (*.f64 v e) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 2))) (*.f64 v (pow.f64 e 3)))) |
(fma.f64 v e (fma.f64 -1 (*.f64 v (*.f64 e e)) (*.f64 v (pow.f64 e 3)))) |
(fma.f64 v e (-.f64 (*.f64 v (pow.f64 e 3)) (*.f64 v (*.f64 e e)))) |
(fma.f64 v e (*.f64 v (-.f64 (pow.f64 e 3) (*.f64 e e)))) |
(*.f64 (*.f64 v e) (-.f64 (fma.f64 e e 1) e)) |
(*.f64 v (*.f64 e (-.f64 (fma.f64 e e 1) e))) |
(+.f64 (*.f64 v e) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 2))) (+.f64 (*.f64 v (pow.f64 e 3)) (*.f64 -1 (*.f64 v (pow.f64 e 4)))))) |
(fma.f64 v e (fma.f64 -1 (*.f64 v (*.f64 e e)) (fma.f64 v (pow.f64 e 3) (neg.f64 (*.f64 v (pow.f64 e 4)))))) |
(fma.f64 v e (-.f64 (-.f64 (*.f64 v (pow.f64 e 3)) (*.f64 v (pow.f64 e 4))) (*.f64 v (*.f64 e e)))) |
(+.f64 (*.f64 v (-.f64 e (*.f64 e e))) (*.f64 v (-.f64 (pow.f64 e 3) (pow.f64 e 4)))) |
(*.f64 (-.f64 e (*.f64 e e)) (*.f64 (fma.f64 e e 1) v)) |
(*.f64 (+.f64 e (pow.f64 e 3)) (-.f64 v (*.f64 v e))) |
v |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(+.f64 v (neg.f64 (/.f64 v e))) |
(-.f64 v (/.f64 v e)) |
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2)))) |
(+.f64 v (fma.f64 -1 (/.f64 v e) (/.f64 v (*.f64 e e)))) |
(+.f64 v (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e))) |
(-.f64 (+.f64 v (/.f64 v (*.f64 e e))) (/.f64 v e)) |
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2))))) |
(+.f64 v (fma.f64 -1 (/.f64 v e) (fma.f64 -1 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e))))) |
(+.f64 v (-.f64 (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v (pow.f64 e 3))) (/.f64 v e))) |
(+.f64 v (-.f64 (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 v (*.f64 e e))) (/.f64 v e))) |
(+.f64 v (-.f64 (/.f64 (-.f64 v (/.f64 v e)) (*.f64 e e)) (/.f64 v e))) |
(*.f64 (+.f64 1 (/.f64 -1 e)) (+.f64 v (/.f64 v (*.f64 e e)))) |
v |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(+.f64 v (neg.f64 (/.f64 v e))) |
(-.f64 v (/.f64 v e)) |
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2)))) |
(+.f64 v (fma.f64 -1 (/.f64 v e) (/.f64 v (*.f64 e e)))) |
(+.f64 v (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e))) |
(-.f64 (+.f64 v (/.f64 v (*.f64 e e))) (/.f64 v e)) |
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2))))) |
(+.f64 v (fma.f64 -1 (/.f64 v e) (fma.f64 -1 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e))))) |
(+.f64 v (-.f64 (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v (pow.f64 e 3))) (/.f64 v e))) |
(+.f64 v (-.f64 (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 v (*.f64 e e))) (/.f64 v e))) |
(+.f64 v (-.f64 (/.f64 (-.f64 v (/.f64 v e)) (*.f64 e e)) (/.f64 v e))) |
(*.f64 (+.f64 1 (/.f64 -1 e)) (+.f64 v (/.f64 v (*.f64 e e)))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 e 1)) |
(/.f64 e (/.f64 (+.f64 e 1) v)) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 v (/.f64 e (+.f64 e 1))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 e 1)) |
(/.f64 e (/.f64 (+.f64 e 1) v)) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 v (/.f64 e (+.f64 e 1))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 e 1)) |
(/.f64 e (/.f64 (+.f64 e 1) v)) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 v (/.f64 e (+.f64 e 1))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 e 1)) |
(/.f64 e (/.f64 (+.f64 e 1) v)) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 v (/.f64 e (+.f64 e 1))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 e 1)) |
(/.f64 e (/.f64 (+.f64 e 1) v)) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 v (/.f64 e (+.f64 e 1))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 e 1)) |
(/.f64 e (/.f64 (+.f64 e 1) v)) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 v (/.f64 e (+.f64 e 1))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 e 1)) |
(/.f64 e (/.f64 (+.f64 e 1) v)) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 v (/.f64 e (+.f64 e 1))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 e 1)) |
(/.f64 e (/.f64 (+.f64 e 1) v)) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 v (/.f64 e (+.f64 e 1))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 e 1)) |
(/.f64 e (/.f64 (+.f64 e 1) v)) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 v (/.f64 e (+.f64 e 1))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 e 1)) |
(/.f64 e (/.f64 (+.f64 e 1) v)) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 v (/.f64 e (+.f64 e 1))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 e 1)) |
(/.f64 e (/.f64 (+.f64 e 1) v)) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 v (/.f64 e (+.f64 e 1))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 e 1)) |
(/.f64 e (/.f64 (+.f64 e 1) v)) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 v (/.f64 e (+.f64 e 1))) |
(/.f64 1 (*.f64 v e)) |
(+.f64 (/.f64 1 v) (/.f64 1 (*.f64 v e))) |
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v)) |
(+.f64 (/.f64 1 v) (/.f64 1 (*.f64 v e))) |
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v)) |
(+.f64 (/.f64 1 v) (/.f64 1 (*.f64 v e))) |
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v)) |
(/.f64 1 v) |
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v)) |
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v)) |
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v)) |
(/.f64 1 v) |
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v)) |
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v)) |
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v)) |
(/.f64 (+.f64 1 e) (*.f64 v e)) |
(/.f64 (+.f64 e 1) (*.f64 v e)) |
(/.f64 (+.f64 1 e) (*.f64 v e)) |
(/.f64 (+.f64 e 1) (*.f64 v e)) |
(/.f64 (+.f64 1 e) (*.f64 v e)) |
(/.f64 (+.f64 e 1) (*.f64 v e)) |
(/.f64 (+.f64 1 e) (*.f64 v e)) |
(/.f64 (+.f64 e 1) (*.f64 v e)) |
(/.f64 (+.f64 1 e) (*.f64 v e)) |
(/.f64 (+.f64 e 1) (*.f64 v e)) |
(/.f64 (+.f64 1 e) (*.f64 v e)) |
(/.f64 (+.f64 e 1) (*.f64 v e)) |
(/.f64 (+.f64 1 e) (*.f64 v e)) |
(/.f64 (+.f64 e 1) (*.f64 v e)) |
(/.f64 (+.f64 1 e) (*.f64 v e)) |
(/.f64 (+.f64 e 1) (*.f64 v e)) |
(/.f64 (+.f64 1 e) (*.f64 v e)) |
(/.f64 (+.f64 e 1) (*.f64 v e)) |
(/.f64 (+.f64 1 e) (*.f64 v e)) |
(/.f64 (+.f64 e 1) (*.f64 v e)) |
(/.f64 (+.f64 1 e) (*.f64 v e)) |
(/.f64 (+.f64 e 1) (*.f64 v e)) |
(/.f64 (+.f64 1 e) (*.f64 v e)) |
(/.f64 (+.f64 e 1) (*.f64 v e)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (exp.f64 (sin.f64 v)) |
| ✓ | 0.1b | (*.f64 e (log.f64 (exp.f64 (sin.f64 v)))) |
| ✓ | 1.9b | (log.f64 (exp.f64 (sin.f64 v))) |
Compiled 19 to 6 computations (68.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | v | @ | 0 | (log.f64 (exp.f64 (sin.f64 v))) |
| 0.0ms | v | @ | 0 | (exp.f64 (sin.f64 v)) |
| 0.0ms | v | @ | inf | (exp.f64 (sin.f64 v)) |
| 0.0ms | v | @ | -inf | (log.f64 (exp.f64 (sin.f64 v))) |
| 0.0ms | v | @ | 0 | (*.f64 e (log.f64 (exp.f64 (sin.f64 v)))) |
| 1× | batch-egg-rewrite |
| 531× | pow1_binary64 |
| 504× | add-sqr-sqrt_binary64 |
| 484× | log1p-expm1-u_binary64 |
| 484× | expm1-log1p-u_binary64 |
| 483× | add-log-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 14 |
| 1 | 119 | 14 |
| 2 | 1330 | 14 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (exp.f64 (sin.f64 v))) |
(*.f64 e (log.f64 (exp.f64 (sin.f64 v)))) |
(exp.f64 (sin.f64 v)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 v)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 v))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 v)) (pow.f64 (cbrt.f64 (sin.f64 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 v)) (sqrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 v)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 v))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 v) e) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 v) e))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (sin.f64 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (sin.f64 v))) (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 v))) 2) (cbrt.f64 (exp.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (sin.f64 v))) (sqrt.f64 (exp.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sin.f64 v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (sin.f64 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (sin.f64 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2)) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (sin.f64 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (sin.f64 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (sin.f64 v)))))))) |
| 1× | egg-herbie |
| 838× | fma-def_binary64 |
| 730× | sqr-pow_binary64 |
| 510× | *-commutative_binary64 |
| 492× | cube-prod_binary64 |
| 395× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 310 |
| 1 | 129 | 300 |
| 2 | 329 | 286 |
| 3 | 1001 | 278 |
| 4 | 2732 | 278 |
| 5 | 3658 | 278 |
| 6 | 3855 | 278 |
| 7 | 4089 | 278 |
| 8 | 4363 | 278 |
| 9 | 4675 | 278 |
| 10 | 5099 | 278 |
| 11 | 5652 | 278 |
| 12 | 6229 | 278 |
| 13 | 6947 | 278 |
| 14 | 7275 | 278 |
| 15 | 7619 | 278 |
| 16 | 7911 | 278 |
| 1× | node limit |
| Inputs |
|---|
v |
(+.f64 v (*.f64 -1/6 (pow.f64 v 3))) |
(+.f64 v (+.f64 (*.f64 -1/6 (pow.f64 v 3)) (*.f64 1/120 (pow.f64 v 5)))) |
(+.f64 v (+.f64 (*.f64 -1/6 (pow.f64 v 3)) (+.f64 (*.f64 -1/5040 (pow.f64 v 7)) (*.f64 1/120 (pow.f64 v 5))))) |
(sin.f64 v) |
(sin.f64 v) |
(sin.f64 v) |
(sin.f64 v) |
(sin.f64 v) |
(sin.f64 v) |
(sin.f64 v) |
(sin.f64 v) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 v e) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (*.f64 v e)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (+.f64 (*.f64 v e) (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e))))) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
1 |
(+.f64 v 1) |
(+.f64 v (+.f64 1 (*.f64 1/2 (pow.f64 v 2)))) |
(+.f64 v (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 v 2)) (*.f64 -1/8 (pow.f64 v 4))))) |
| Outputs |
|---|
v |
(+.f64 v (*.f64 -1/6 (pow.f64 v 3))) |
(fma.f64 -1/6 (pow.f64 v 3) v) |
(+.f64 v (+.f64 (*.f64 -1/6 (pow.f64 v 3)) (*.f64 1/120 (pow.f64 v 5)))) |
(+.f64 v (fma.f64 -1/6 (pow.f64 v 3) (*.f64 1/120 (pow.f64 v 5)))) |
(+.f64 (fma.f64 -1/6 (pow.f64 v 3) v) (*.f64 1/120 (pow.f64 v 5))) |
(fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) v)) |
(+.f64 v (+.f64 (*.f64 -1/6 (pow.f64 v 3)) (+.f64 (*.f64 -1/5040 (pow.f64 v 7)) (*.f64 1/120 (pow.f64 v 5))))) |
(+.f64 v (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 -1/5040 (pow.f64 v 7) (*.f64 1/120 (pow.f64 v 5))))) |
(+.f64 (fma.f64 -1/6 (pow.f64 v 3) v) (fma.f64 1/120 (pow.f64 v 5) (*.f64 -1/5040 (pow.f64 v 7)))) |
(fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) v))) |
(sin.f64 v) |
(sin.f64 v) |
(sin.f64 v) |
(sin.f64 v) |
(sin.f64 v) |
(sin.f64 v) |
(sin.f64 v) |
(sin.f64 v) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 v e) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (*.f64 v e)) |
(fma.f64 -1/6 (*.f64 (pow.f64 v 3) e) (*.f64 v e)) |
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v)) |
(*.f64 (fma.f64 -1/6 (pow.f64 v 3) v) e) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e))) |
(fma.f64 -1/6 (*.f64 (pow.f64 v 3) e) (fma.f64 1/120 (*.f64 (pow.f64 v 5) e) (*.f64 v e))) |
(+.f64 (*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v)) (*.f64 (pow.f64 v 5) (*.f64 e 1/120))) |
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) v))) |
(*.f64 (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) v)) e) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (+.f64 (*.f64 v e) (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e))))) |
(fma.f64 -1/6 (*.f64 (pow.f64 v 3) e) (fma.f64 1/120 (*.f64 (pow.f64 v 5) e) (fma.f64 v e (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e))))) |
(+.f64 (*.f64 e (+.f64 v (*.f64 -1/5040 (pow.f64 v 7)))) (*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (*.f64 1/120 (pow.f64 v 5))))) |
(*.f64 e (+.f64 v (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 -1/5040 (pow.f64 v 7) (*.f64 1/120 (pow.f64 v 5)))))) |
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) v)))) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
1 |
(+.f64 v 1) |
(+.f64 v (+.f64 1 (*.f64 1/2 (pow.f64 v 2)))) |
(+.f64 v (+.f64 1 (*.f64 1/2 (*.f64 v v)))) |
(+.f64 v (fma.f64 1/2 (*.f64 v v) 1)) |
(+.f64 v (fma.f64 v (*.f64 v 1/2) 1)) |
(fma.f64 (fma.f64 v 1/2 1) v 1) |
(+.f64 v (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 v 2)) (*.f64 -1/8 (pow.f64 v 4))))) |
(+.f64 v (+.f64 1 (fma.f64 1/2 (*.f64 v v) (*.f64 -1/8 (pow.f64 v 4))))) |
(+.f64 v (+.f64 (fma.f64 1/2 (*.f64 v v) 1) (*.f64 -1/8 (pow.f64 v 4)))) |
(+.f64 v (fma.f64 -1/8 (pow.f64 v 4) (fma.f64 v (*.f64 v 1/2) 1))) |
(fma.f64 -1/8 (pow.f64 v 4) (fma.f64 (fma.f64 v 1/2 1) v 1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 (cos.f64 v) (*.f64 e e)) | |
| 0.1b | (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) | |
| ✓ | 0.6b | (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) 3) |
| ✓ | 12.4b | (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) |
Compiled 63 to 12 computations (81% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | v | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) 3) |
| 3.0ms | v | @ | inf | (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) |
| 3.0ms | v | @ | -inf | (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) |
| 3.0ms | e | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) 3) |
| 2.0ms | v | @ | 0 | (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) |
| 1× | batch-egg-rewrite |
| 831× | prod-diff_binary64 |
| 595× | log-prod_binary64 |
| 307× | fma-def_binary64 |
| 300× | pow2_binary64 |
| 222× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 36 |
| 1 | 260 | 36 |
| 2 | 3158 | 36 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 v)) (cbrt.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) 1/6) (pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 e (sin.f64 v)) (*.f64 (*.f64 (*.f64 e e) (neg.f64 (cos.f64 v))) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (*.f64 e e) (neg.f64 (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 v)) e) (-.f64 1 (*.f64 e (cos.f64 v))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 v)) e) (-.f64 1 (*.f64 e (cos.f64 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 v)) e) (-.f64 1 (*.f64 e (cos.f64 v)))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 v)) e) (-.f64 1 (*.f64 e (cos.f64 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 2) (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) 2) (*.f64 (cbrt.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 v)) (*.f64 (cbrt.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) (*.f64 (sqrt.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) (sqrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 v)) (*.f64 (sqrt.f64 (sin.f64 v)) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) 1/6) (*.f64 (pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) 1/6) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) (pow.f64 (cbrt.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) 2)) (cbrt.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) (sqrt.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) (sqrt.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) (pow.f64 (cbrt.f64 (sin.f64 v)) 2)) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 2) 1) (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 2) (cbrt.f64 (sin.f64 v))) (cbrt.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 2) (pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) 1/6)) (pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 e 3) (pow.f64 (*.f64 e (*.f64 e (cos.f64 v))) 3)) (sin.f64 v)) (fma.f64 (*.f64 e (*.f64 e (cos.f64 v))) (fma.f64 e (*.f64 e (cos.f64 v)) e) (*.f64 e e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 e e) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 4))) (sin.f64 v)) (fma.f64 e (*.f64 e (cos.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 v) (-.f64 (pow.f64 e 3) (pow.f64 (*.f64 e (*.f64 e (cos.f64 v))) 3))) (fma.f64 (*.f64 e (*.f64 e (cos.f64 v))) (fma.f64 e (*.f64 e (cos.f64 v)) e) (*.f64 e e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 e e) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 4)))) (fma.f64 e (*.f64 e (cos.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 v)) e) (-.f64 1 (*.f64 e (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) 3) (pow.f64 (sin.f64 v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 v) e (*.f64 (sin.f64 v) (*.f64 (*.f64 e e) (neg.f64 (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 e (sin.f64 v) (*.f64 (*.f64 (*.f64 e e) (neg.f64 (cos.f64 v))) (sin.f64 v))))))) |
| 1× | egg-herbie |
| 883× | fma-neg_binary64 |
| 610× | unswap-sqr_binary64 |
| 586× | unsub-neg_binary64 |
| 385× | distribute-rgt-neg-in_binary64 |
| 295× | neg-sub0_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 312 |
| 1 | 40 | 288 |
| 2 | 82 | 288 |
| 3 | 217 | 288 |
| 4 | 773 | 288 |
| 5 | 1569 | 288 |
| 6 | 2658 | 288 |
| 7 | 4487 | 288 |
| 8 | 7150 | 288 |
| 9 | 7889 | 288 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3) |
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3) |
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3) |
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3) |
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3) |
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3) |
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3) |
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3) |
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3)) |
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3)) |
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3)) |
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3)) |
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3)) |
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3)) |
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3)) |
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3)) |
| Outputs |
|---|
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3) |
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) |
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) |
(cbrt.f64 (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1)))) |
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3) |
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) |
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) |
(cbrt.f64 (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1)))) |
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3) |
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) |
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) |
(cbrt.f64 (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1)))) |
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3) |
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) |
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) |
(cbrt.f64 (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1)))) |
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3) |
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) |
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) |
(cbrt.f64 (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1)))) |
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3) |
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) |
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) |
(cbrt.f64 (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1)))) |
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3) |
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) |
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) |
(cbrt.f64 (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1)))) |
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3) |
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) |
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) |
(cbrt.f64 (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1)))) |
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3)) |
(*.f64 (sin.f64 v) (*.f64 (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) 1)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) |
(*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1))) |
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3)) |
(*.f64 (sin.f64 v) (*.f64 (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) 1)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) |
(*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1))) |
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3)) |
(*.f64 (sin.f64 v) (*.f64 (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) 1)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) |
(*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1))) |
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3)) |
(*.f64 (sin.f64 v) (*.f64 (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) 1)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) |
(*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1))) |
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3)) |
(*.f64 (sin.f64 v) (*.f64 (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) 1)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) |
(*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1))) |
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3)) |
(*.f64 (sin.f64 v) (*.f64 (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) 1)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) |
(*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1))) |
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3)) |
(*.f64 (sin.f64 v) (*.f64 (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) 1)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) |
(*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1))) |
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3)) |
(*.f64 (sin.f64 v) (*.f64 (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) 1)) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) |
(*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1))) |
Compiled 9799 to 5116 computations (47.8% saved)
30 alts after pruning (26 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 459 | 15 | 474 |
| Fresh | 8 | 11 | 19 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 4 | 6 |
| Total | 470 | 30 | 500 |
| Status | Error | Program |
|---|---|---|
| 0.8b | (*.f64 (sin.f64 v) e) | |
| 48.4b | (-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1) | |
| 36.7b | (cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3)) | |
| ✓ | 15.5b | (*.f64 e (log.f64 (exp.f64 (sin.f64 v)))) |
| ▶ | 62.7b | (-.f64 v (/.f64 v e)) |
| ✓ | 0.5b | (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) |
| 26.1b | (pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2) | |
| ▶ | 47.9b | (-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1) |
| 1.1b | (/.f64 1 (/.f64 (fma.f64 (cos.f64 v) e 1) (*.f64 e (sin.f64 v)))) | |
| 61.3b | v | |
| 33.2b | (*.f64 e (exp.f64 (log.f64 (sin.f64 v)))) | |
| ▶ | 0.3b | (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) |
| 33.1b | (*.f64 v (-.f64 e (*.f64 e e))) | |
| ▶ | 47.4b | (*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1)) |
| 0.8b | (*.f64 e (expm1.f64 (log1p.f64 (sin.f64 v)))) | |
| 32.0b | (/.f64 (*.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v))) (+.f64 1 (*.f64 e (cos.f64 v)))) | |
| ✓ | 0.1b | (*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
| 10.2b | (*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3))) | |
| 33.9b | (/.f64 1 (*.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v))) | |
| 33.0b | (*.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v) | |
| 15.6b | (*.f64 e (log.f64 (log.f64 (exp.f64 (exp.f64 (sin.f64 v)))))) | |
| 32.6b | (*.f64 e (pow.f64 (sqrt.f64 (sin.f64 v)) 2)) | |
| 33.0b | (/.f64 e (/.f64 (+.f64 e 1) v)) | |
| ✓ | 33.2b | (*.f64 v e) |
| 0.5b | (*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e))) | |
| 1.0b | (/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) e)) (+.f64 1 (*.f64 e (cos.f64 v)))) | |
| ▶ | 1.8b | (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3) |
| 63.1b | (*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e)) | |
| 15.4b | (*.f64 e (-.f64 (+.f64 1 (sin.f64 v)) 1)) | |
| 34.1b | (/.f64 1 (/.f64 1 (*.f64 v e))) |
Compiled 574 to 408 computations (28.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) |
| ✓ | 0.2b | (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) |
Compiled 32 to 14 computations (56.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | v | @ | 0 | (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) |
| 1.0ms | e | @ | -inf | (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) |
| 1.0ms | v | @ | -inf | (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) |
| 1.0ms | v | @ | inf | (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) |
| 1.0ms | v | @ | 0 | (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) |
| 1× | batch-egg-rewrite |
| 497× | log-prod_binary64 |
| 396× | exp-prod_binary64 |
| 306× | prod-exp_binary64 |
| 266× | pow-prod-down_binary64 |
| 248× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 184 | 27 |
| 2 | 2479 | 27 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) |
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 e) 2) (*.f64 (cbrt.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) (pow.f64 (cbrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2) (cbrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) (sqrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 e) (/.f64 1 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 e) 2) 1) (/.f64 (cbrt.f64 e) (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 e) 1) (/.f64 (sqrt.f64 e) (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 e (cos.f64 v) 1)) (/.f64 e (/.f64 1 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 e) 2) (fma.f64 e (cos.f64 v) 1)) (/.f64 (cbrt.f64 e) (/.f64 1 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 e) (fma.f64 e (cos.f64 v) 1)) (/.f64 (sqrt.f64 e) (/.f64 1 (sin.f64 v))))))) 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(sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e 1) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (neg.f64 (fma.f64 e (cos.f64 v) 1))) (neg.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) 1) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (pow.f64 (cbrt.f64 (sin.f64 v)) 2)) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2) 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(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 e) 1) (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 e) (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 e) 1) (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 e) 1) (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 v)) 1) (log.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) (*.f64 (log.f64 e) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) (*.f64 (log.f64 (sin.f64 v)) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 e (cos.f64 v) 1) (/.f64 1 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 e (cos.f64 v) 1)) 1) (/.f64 (sqrt.f64 (fma.f64 e (cos.f64 v) 1)) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) -2) (/.f64 (fma.f64 e (cos.f64 v) 1) (cbrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2) (pow.f64 (cbrt.f64 (sin.f64 v)) 2)) (cbrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 e (cos.f64 v) 1)) (pow.f64 (cbrt.f64 (sin.f64 v)) 2)) (/.f64 (sqrt.f64 (fma.f64 e (cos.f64 v) 1)) (cbrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 v) -1/2) (/.f64 (fma.f64 e (cos.f64 v) 1) (sqrt.f64 (sin.f64 v))))))) 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((x pow.f64 (/.f64 (pow.f64 (fma.f64 e (cos.f64 v) 1) 3) (pow.f64 (sin.f64 v) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) 2)) (cbrt.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))) (sqrt.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (neg.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 e (cos.f64 v) 1) 3) (pow.f64 (sin.f64 v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 e (cos.f64 v))) 1) (log.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (*.f64 e (cos.f64 v))) (*.f64 (log.f64 (sin.f64 v)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 e (cos.f64 v))) 1) (*.f64 (log.f64 (sin.f64 v)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (*.f64 e (cos.f64 v))) 1) (neg.f64 (log.f64 (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 (sin.f64 v))) (*.f64 (log1p.f64 (*.f64 e (cos.f64 v))) 1))))))) |
| 1× | egg-herbie |
| 901× | fma-neg_binary64 |
| 564× | fma-def_binary64 |
| 449× | unswap-sqr_binary64 |
| 410× | associate-*l*_binary64 |
| 386× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 1526 |
| 1 | 386 | 1447 |
| 2 | 1231 | 1385 |
| 3 | 5806 | 1363 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sin.f64 v) e) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (*.f64 v e) (+.f64 1 e))) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (+.f64 (*.f64 (pow.f64 v 7) (-.f64 (*.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (*.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e))) |
(/.f64 (+.f64 1 e) v) |
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))) |
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (*.f64 (pow.f64 v 3) (-.f64 (*.f64 1/24 e) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e)))) (*.f64 1/120 (+.f64 1 e)))))))) |
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 -1/720 e) (+.f64 (*.f64 -1/5040 (+.f64 1 e)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 e) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e)))) (*.f64 1/120 (+.f64 1 e))))) (*.f64 1/120 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e)))))))) (*.f64 (pow.f64 v 3) (-.f64 (*.f64 1/24 e) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e)))) (*.f64 1/120 (+.f64 1 e))))))))) |
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v)) |
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v)) |
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v)) |
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v)) |
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v)) |
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v)) |
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v)) |
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v)) |
(/.f64 1 (sin.f64 v)) |
(+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (/.f64 1 (sin.f64 v))) |
(+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (/.f64 1 (sin.f64 v))) |
(+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (/.f64 1 (sin.f64 v))) |
(/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) |
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) |
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) |
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) |
(/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) |
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) |
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) |
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) |
| Outputs |
|---|
(*.f64 (sin.f64 v) e) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e)) |
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (*.f64 (sin.f64 v) e)) |
(-.f64 (*.f64 (sin.f64 v) e) (*.f64 (*.f64 (sin.f64 v) (*.f64 e e)) (cos.f64 v))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))) |
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))) |
(fma.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (*.f64 (sin.f64 v) (neg.f64 (*.f64 e (*.f64 e (cos.f64 v)))))) |
(*.f64 (sin.f64 v) (-.f64 (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e) (*.f64 e (*.f64 e (cos.f64 v))))) |
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))) |
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))) (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))) |
(+.f64 (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (*.f64 (neg.f64 (sin.f64 v)) (+.f64 (*.f64 e (*.f64 e (cos.f64 v))) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))))) |
(-.f64 (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e)) (*.f64 (sin.f64 v) (fma.f64 e (*.f64 e (cos.f64 v)) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))))) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3)))) |
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))))) |
(-.f64 (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 3)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))))) |
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))) |
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))) |
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 3)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))) |
(/.f64 (sin.f64 v) (cos.f64 v)) |
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))) |
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3)))) |
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))))) |
(-.f64 (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 3)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) (/.f64 (sin.f64 v) (cos.f64 v)))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))) |
(+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))))) |
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))) |
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))) |
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 3)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 v (/.f64 (+.f64 e 1) e)) |
(*.f64 (/.f64 v (+.f64 e 1)) e) |
(*.f64 (/.f64 e (+.f64 e 1)) v) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (*.f64 v e) (+.f64 1 e))) |
(fma.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 v (/.f64 (+.f64 e 1) e))) |
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (*.f64 (/.f64 v (+.f64 e 1)) e)) |
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2)) (*.f64 (/.f64 e (+.f64 e 1)) v)) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))) |
(+.f64 (fma.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 v (/.f64 (+.f64 e 1) e))) (*.f64 (pow.f64 v 5) (-.f64 (/.f64 (*.f64 1/120 e) (+.f64 e 1)) (fma.f64 1/24 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) (/.f64 (*.f64 -1/2 (*.f64 e (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))))) (+.f64 e 1)))))) |
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (fma.f64 (pow.f64 v 5) (-.f64 (*.f64 (/.f64 e (+.f64 e 1)) 1/120) (fma.f64 -1/2 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (/.f64 (+.f64 e 1) e)) (/.f64 (*.f64 (*.f64 e e) 1/24) (pow.f64 (+.f64 e 1) 2)))) (*.f64 (/.f64 v (+.f64 e 1)) e))) |
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2)) (fma.f64 (pow.f64 v 5) (-.f64 (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (/.f64 (*.f64 -1/24 e) (/.f64 (pow.f64 (+.f64 e 1) 2) e))) (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2)) (/.f64 (/.f64 (+.f64 e 1) e) -1/2))) (*.f64 (/.f64 e (+.f64 e 1)) v))) |
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2)) (fma.f64 (pow.f64 v 5) (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (fma.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) -1/24 (*.f64 (-.f64 (/.f64 -1/6 (/.f64 (pow.f64 (+.f64 e 1) 2) (*.f64 e e))) (/.f64 -1/2 (pow.f64 (/.f64 (+.f64 e 1) e) 3))) 1/2))) (*.f64 (/.f64 e (+.f64 e 1)) v))) |
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (+.f64 (*.f64 (pow.f64 v 7) (-.f64 (*.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (*.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))) |
(+.f64 (fma.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 v (/.f64 (+.f64 e 1) e))) (fma.f64 (pow.f64 v 7) (-.f64 (*.f64 (/.f64 e (+.f64 e 1)) -1/5040) (fma.f64 1/24 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 (+.f64 e 1) e)) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 (*.f64 1/120 e) (+.f64 e 1)) (fma.f64 1/24 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) (/.f64 (*.f64 -1/2 (*.f64 e (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))))) (+.f64 e 1)))) (/.f64 (+.f64 e 1) e)) (*.f64 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) -1/720)))) (*.f64 (pow.f64 v 5) (-.f64 (/.f64 (*.f64 1/120 e) (+.f64 e 1)) (fma.f64 1/24 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) (/.f64 (*.f64 -1/2 (*.f64 e (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))))) (+.f64 e 1))))))) |
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(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 1 (sin.f64 v))) |
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) |
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))) |
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e)) |
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 1 (sin.f64 v))) |
(/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) |
(/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)) |
(*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e) |
(/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)) |
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) |
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))) |
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e)) |
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 1 (sin.f64 v))) |
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) |
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))) |
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e)) |
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 1 (sin.f64 v))) |
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))) |
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))) |
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e)) |
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 1 (sin.f64 v))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 v (/.f64 v e)) |
Compiled 12 to 4 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | v | @ | 0 | (-.f64 v (/.f64 v e)) |
| 1.0ms | v | @ | inf | (-.f64 v (/.f64 v e)) |
| 0.0ms | e | @ | 0 | (-.f64 v (/.f64 v e)) |
| 0.0ms | e | @ | -inf | (-.f64 v (/.f64 v e)) |
| 0.0ms | e | @ | inf | (-.f64 v (/.f64 v e)) |
| 1× | batch-egg-rewrite |
| 726× | pow1_binary64 |
| 678× | add-log-exp_binary64 |
| 678× | log1p-expm1-u_binary64 |
| 678× | expm1-log1p-u_binary64 |
| 663× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 116 | 7 |
| 2 | 1789 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 v (/.f64 v e)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 v (/.f64 (neg.f64 v) e))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 v (*.f64 (/.f64 (neg.f64 v) e) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 v (/.f64 v e)) (fma.f64 (neg.f64 (/.f64 1 e)) v (/.f64 v e)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 v (/.f64 v e)) (fma.f64 (/.f64 (neg.f64 v) e) 1 (/.f64 v e)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 v (/.f64 v e)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 v e))) (pow.f64 (cbrt.f64 (/.f64 v e)) 2) (/.f64 v e)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 v (/.f64 v e)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 v e))) (sqrt.f64 (/.f64 v e)) (/.f64 v e)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 v) e) v)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 v (/.f64 v e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 v (/.f64 v e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 v (/.f64 v e))) (pow.f64 (cbrt.f64 (-.f64 v (/.f64 v e))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 v (/.f64 v e))) 2) (cbrt.f64 (-.f64 v (/.f64 v e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 v (/.f64 v e))) (sqrt.f64 (-.f64 v (/.f64 v e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 v 3) (pow.f64 (/.f64 v e) 3)) (/.f64 1 (fma.f64 v v (*.f64 (/.f64 v e) (+.f64 v (/.f64 v e))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 v v) (pow.f64 (/.f64 v e) 2)) (/.f64 1 (+.f64 v (/.f64 v e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 v) (sqrt.f64 (/.f64 v e))) (-.f64 (sqrt.f64 v) (sqrt.f64 (/.f64 v e))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 v v (*.f64 (/.f64 v e) (+.f64 v (/.f64 v e)))) (-.f64 (pow.f64 v 3) (pow.f64 (/.f64 v e) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 v (/.f64 v e)) (-.f64 (*.f64 v v) (pow.f64 (/.f64 v e) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 v 3) (pow.f64 (/.f64 v e) 3)) (fma.f64 v v (*.f64 (/.f64 v e) (+.f64 v (/.f64 v e)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 v v) (pow.f64 (/.f64 v e) 2)) (+.f64 v (/.f64 v e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 v 3) (pow.f64 (/.f64 v e) 3))) (neg.f64 (fma.f64 v v (*.f64 (/.f64 v e) (+.f64 v (/.f64 v e))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 v v) (pow.f64 (/.f64 v e) 2))) (neg.f64 (+.f64 v (/.f64 v e))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 v 3) (pow.f64 (/.f64 (neg.f64 v) e) 3)) (+.f64 (*.f64 v v) (-.f64 (*.f64 (/.f64 (neg.f64 v) e) (/.f64 (neg.f64 v) e)) (*.f64 v (/.f64 (neg.f64 v) e)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 v v) (*.f64 (/.f64 (neg.f64 v) e) (/.f64 (neg.f64 v) e))) (-.f64 v (/.f64 (neg.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 v (/.f64 v e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 v (/.f64 v e)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 v (/.f64 v e))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 v (/.f64 v e))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 v (/.f64 v e)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 v (/.f64 v e))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 v (/.f64 v e)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 v (/.f64 v e))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 v (/.f64 v e))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 v (/.f64 v e))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 v (/.f64 (neg.f64 v) e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 v) 2) (cbrt.f64 v) (/.f64 (neg.f64 v) e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 v) (sqrt.f64 v) (/.f64 (neg.f64 v) e)))))) |
| 1× | egg-herbie |
| 141× | fma-def_binary64 |
| 67× | fma-neg_binary64 |
| 39× | associate-*r*_binary64 |
| 39× | distribute-rgt-in_binary64 |
| 32× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 218 |
| 1 | 30 | 218 |
| 2 | 71 | 155 |
| 3 | 136 | 155 |
| 4 | 244 | 155 |
| 5 | 473 | 155 |
| 6 | 697 | 155 |
| 7 | 701 | 155 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(*.f64 -1 (*.f64 v (-.f64 (/.f64 1 e) 1))) |
(*.f64 -1 (*.f64 v (-.f64 (/.f64 1 e) 1))) |
(*.f64 -1 (*.f64 v (-.f64 (/.f64 1 e) 1))) |
(*.f64 -1 (*.f64 v (-.f64 (/.f64 1 e) 1))) |
(*.f64 -1 (/.f64 v e)) |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
v |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
v |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
| Outputs |
|---|
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(-.f64 v (/.f64 v e)) |
(*.f64 -1 (*.f64 v (-.f64 (/.f64 1 e) 1))) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(-.f64 v (/.f64 v e)) |
(*.f64 -1 (*.f64 v (-.f64 (/.f64 1 e) 1))) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(-.f64 v (/.f64 v e)) |
(*.f64 -1 (*.f64 v (-.f64 (/.f64 1 e) 1))) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(-.f64 v (/.f64 v e)) |
(*.f64 -1 (*.f64 v (-.f64 (/.f64 1 e) 1))) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(-.f64 v (/.f64 v e)) |
(*.f64 -1 (/.f64 v e)) |
(neg.f64 (/.f64 v e)) |
(/.f64 (neg.f64 v) e) |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(-.f64 v (/.f64 v e)) |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(-.f64 v (/.f64 v e)) |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(-.f64 v (/.f64 v e)) |
v |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(-.f64 v (/.f64 v e)) |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(-.f64 v (/.f64 v e)) |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(-.f64 v (/.f64 v e)) |
v |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(-.f64 v (/.f64 v e)) |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(-.f64 v (/.f64 v e)) |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(-.f64 v (/.f64 v e)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 v (+.f64 e 1)) | |
| ✓ | 0.0b | (*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1)) |
| ✓ | 1.5b | (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1) |
Compiled 40 to 28 computations (30% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | v | @ | 0 | (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1) |
| 1.0ms | e | @ | -inf | (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1) |
| 1.0ms | e | @ | inf | (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1) |
| 0.0ms | e | @ | 0 | (*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1)) |
| 0.0ms | v | @ | inf | (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1) |
| 1× | batch-egg-rewrite |
| 545× | prod-diff_binary64 |
| 487× | fma-def_binary64 |
| 459× | log-prod_binary64 |
| 250× | pow2_binary64 |
| 236× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 1 | 209 | 17 |
| 2 | 3186 | 17 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1) |
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 v (+.f64 1 e)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 v (+.f64 1 e)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 v (+.f64 1 e))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 v (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 v (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 v (+.f64 1 e)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 v (+.f64 1 e))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 v (+.f64 1 e))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 v (+.f64 1 e))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 v (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 v (/.f64 1 (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v (+.f64 1 e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 v (+.f64 1 e))) (pow.f64 (cbrt.f64 (/.f64 v (+.f64 1 e))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 v (+.f64 1 e))) 2) (cbrt.f64 (/.f64 v (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 v) 2) (*.f64 (cbrt.f64 v) (/.f64 1 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 v (+.f64 1 e))) (sqrt.f64 (/.f64 v (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 v) (*.f64 (sqrt.f64 v) (/.f64 1 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 v) (/.f64 1 (+.f64 -1 (neg.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 v (+.f64 1 e))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 v (+.f64 1 e))) 2) (+.f64 (/.f64 v 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| 1× | egg-herbie |
| 503× | sub-neg_binary64 |
| 481× | distribute-rgt-neg-in_binary64 |
| 456× | fma-neg_binary64 |
| 399× | distribute-lft-neg-in_binary64 |
| 340× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 582 |
| 1 | 156 | 556 |
| 2 | 430 | 539 |
| 3 | 1541 | 496 |
| 4 | 5607 | 496 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
v |
(+.f64 v (*.f64 -1 (*.f64 v e))) |
(+.f64 v (+.f64 (*.f64 -1 (*.f64 v e)) (*.f64 v (pow.f64 e 2)))) |
(+.f64 v (+.f64 (*.f64 -1 (*.f64 v e)) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 3))) (*.f64 v (pow.f64 e 2))))) |
(/.f64 v e) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e)) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3)))) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3))))) |
(/.f64 v e) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e)) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3)))) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3))))) |
(*.f64 v e) |
(+.f64 (*.f64 v e) (*.f64 -1 (*.f64 v (pow.f64 e 2)))) |
(+.f64 (*.f64 v e) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 2))) (*.f64 v (pow.f64 e 3)))) |
(+.f64 (*.f64 v e) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 2))) (+.f64 (*.f64 v (pow.f64 e 3)) (*.f64 -1 (*.f64 v (pow.f64 e 4)))))) |
v |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2)))) |
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2))))) |
v |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2)))) |
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2))))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
| Outputs |
|---|
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
(/.f64 v (+.f64 1 e)) |
v |
(+.f64 v (*.f64 -1 (*.f64 v e))) |
(+.f64 v (neg.f64 (*.f64 v e))) |
(-.f64 v (*.f64 v e)) |
(+.f64 v (+.f64 (*.f64 -1 (*.f64 v e)) (*.f64 v (pow.f64 e 2)))) |
(+.f64 v (fma.f64 -1 (*.f64 v e) (*.f64 v (*.f64 e e)))) |
(+.f64 (-.f64 v (*.f64 v e)) (*.f64 v (*.f64 e e))) |
(+.f64 v (*.f64 v (-.f64 (*.f64 e e) e))) |
(+.f64 v (+.f64 (*.f64 -1 (*.f64 v e)) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 3))) (*.f64 v (pow.f64 e 2))))) |
(+.f64 v (fma.f64 -1 (*.f64 v e) (fma.f64 -1 (*.f64 v (pow.f64 e 3)) (*.f64 v (*.f64 e e))))) |
(+.f64 v (+.f64 (*.f64 v (*.f64 e e)) (*.f64 (neg.f64 v) (+.f64 e (pow.f64 e 3))))) |
(-.f64 v (fma.f64 v e (*.f64 v (-.f64 (pow.f64 e 3) (*.f64 e e))))) |
(*.f64 (+.f64 1 (*.f64 e e)) (-.f64 v (*.f64 v e))) |
(/.f64 v e) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e)) |
(fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e)) |
(-.f64 (/.f64 v e) (/.f64 (/.f64 v e) e)) |
(-.f64 (/.f64 v e) (/.f64 v (*.f64 e e))) |
(/.f64 (-.f64 v (/.f64 v e)) e) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3)))) |
(+.f64 (fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e)) (/.f64 v (pow.f64 e 3))) |
(+.f64 (-.f64 (/.f64 v e) (/.f64 (/.f64 v e) e)) (/.f64 v (pow.f64 e 3))) |
(+.f64 (/.f64 v e) (-.f64 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e)))) |
(+.f64 (/.f64 (-.f64 v (/.f64 v e)) e) (/.f64 v (pow.f64 e 3))) |
(+.f64 (/.f64 v e) (/.f64 (/.f64 (-.f64 (/.f64 v e) v) e) e)) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3))))) |
(+.f64 (fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e)) (fma.f64 -1 (/.f64 v (pow.f64 e 4)) (/.f64 v (pow.f64 e 3)))) |
(+.f64 (-.f64 (/.f64 v e) (/.f64 (/.f64 v e) e)) (-.f64 (/.f64 v (pow.f64 e 3)) (/.f64 v (pow.f64 e 4)))) |
(+.f64 (-.f64 (/.f64 v e) (/.f64 v (*.f64 e e))) (-.f64 (/.f64 v (pow.f64 e 3)) (/.f64 v (pow.f64 e 4)))) |
(+.f64 (/.f64 (-.f64 v (/.f64 v e)) e) (*.f64 (+.f64 1 (/.f64 -1 e)) (/.f64 v (pow.f64 e 3)))) |
(/.f64 v e) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e)) |
(fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e)) |
(-.f64 (/.f64 v e) (/.f64 (/.f64 v e) e)) |
(-.f64 (/.f64 v e) (/.f64 v (*.f64 e e))) |
(/.f64 (-.f64 v (/.f64 v e)) e) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3)))) |
(+.f64 (fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e)) (/.f64 v (pow.f64 e 3))) |
(+.f64 (-.f64 (/.f64 v e) (/.f64 (/.f64 v e) e)) (/.f64 v (pow.f64 e 3))) |
(+.f64 (/.f64 v e) (-.f64 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e)))) |
(+.f64 (/.f64 (-.f64 v (/.f64 v e)) e) (/.f64 v (pow.f64 e 3))) |
(+.f64 (/.f64 v e) (/.f64 (/.f64 (-.f64 (/.f64 v e) v) e) e)) |
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3))))) |
(+.f64 (fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e)) (fma.f64 -1 (/.f64 v (pow.f64 e 4)) (/.f64 v (pow.f64 e 3)))) |
(+.f64 (-.f64 (/.f64 v e) (/.f64 (/.f64 v e) e)) (-.f64 (/.f64 v (pow.f64 e 3)) (/.f64 v (pow.f64 e 4)))) |
(+.f64 (-.f64 (/.f64 v e) (/.f64 v (*.f64 e e))) (-.f64 (/.f64 v (pow.f64 e 3)) (/.f64 v (pow.f64 e 4)))) |
(+.f64 (/.f64 (-.f64 v (/.f64 v e)) e) (*.f64 (+.f64 1 (/.f64 -1 e)) (/.f64 v (pow.f64 e 3)))) |
(*.f64 v e) |
(+.f64 (*.f64 v e) (*.f64 -1 (*.f64 v (pow.f64 e 2)))) |
(fma.f64 v e (neg.f64 (*.f64 v (*.f64 e e)))) |
(fma.f64 (neg.f64 v) (*.f64 e e) (*.f64 v e)) |
(*.f64 e (-.f64 v (*.f64 v e))) |
(*.f64 v (*.f64 (-.f64 1 e) e)) |
(+.f64 (*.f64 v e) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 2))) (*.f64 v (pow.f64 e 3)))) |
(fma.f64 v e (fma.f64 -1 (*.f64 v (*.f64 e e)) (*.f64 v (pow.f64 e 3)))) |
(fma.f64 v e (-.f64 (*.f64 v (pow.f64 e 3)) (*.f64 v (*.f64 e e)))) |
(fma.f64 v e (*.f64 v (-.f64 (pow.f64 e 3) (*.f64 e e)))) |
(*.f64 v (-.f64 (pow.f64 e 3) (-.f64 (*.f64 e e) e))) |
(*.f64 v (+.f64 (pow.f64 e 3) (*.f64 (-.f64 1 e) e))) |
(+.f64 (*.f64 v e) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 2))) (+.f64 (*.f64 v (pow.f64 e 3)) (*.f64 -1 (*.f64 v (pow.f64 e 4)))))) |
(fma.f64 v e (fma.f64 -1 (*.f64 v (*.f64 e e)) (fma.f64 v (pow.f64 e 3) (neg.f64 (*.f64 v (pow.f64 e 4)))))) |
(fma.f64 v e (-.f64 (-.f64 (*.f64 v (pow.f64 e 3)) (*.f64 v (*.f64 e e))) (*.f64 v (pow.f64 e 4)))) |
(+.f64 (*.f64 e (-.f64 v (*.f64 v e))) (*.f64 v (-.f64 (pow.f64 e 3) (pow.f64 e 4)))) |
(*.f64 (-.f64 e (*.f64 e e)) (fma.f64 e (*.f64 v e) v)) |
(*.f64 (*.f64 (-.f64 1 e) e) (fma.f64 e (*.f64 v e) v)) |
v |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(+.f64 v (neg.f64 (/.f64 v e))) |
(-.f64 v (/.f64 v e)) |
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2)))) |
(+.f64 v (fma.f64 -1 (/.f64 v e) (/.f64 v (*.f64 e e)))) |
(+.f64 (/.f64 (/.f64 v e) e) (-.f64 v (/.f64 v e))) |
(+.f64 v (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(+.f64 v (/.f64 (-.f64 (/.f64 v e) v) e)) |
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2))))) |
(+.f64 v (fma.f64 -1 (/.f64 v e) (fma.f64 -1 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e))))) |
(+.f64 (-.f64 v (/.f64 v e)) (-.f64 (/.f64 (/.f64 v e) e) (/.f64 v (pow.f64 e 3)))) |
(+.f64 v (-.f64 (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e)) (/.f64 v (pow.f64 e 3)))) |
(+.f64 (-.f64 v (/.f64 v e)) (/.f64 (/.f64 (-.f64 v (/.f64 v e)) e) e)) |
v |
(+.f64 v (*.f64 -1 (/.f64 v e))) |
(+.f64 v (neg.f64 (/.f64 v e))) |
(-.f64 v (/.f64 v e)) |
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2)))) |
(+.f64 v (fma.f64 -1 (/.f64 v e) (/.f64 v (*.f64 e e)))) |
(+.f64 (/.f64 (/.f64 v e) e) (-.f64 v (/.f64 v e))) |
(+.f64 v (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e))) |
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) |
(+.f64 v (/.f64 (-.f64 (/.f64 v e) v) e)) |
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2))))) |
(+.f64 v (fma.f64 -1 (/.f64 v e) (fma.f64 -1 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e))))) |
(+.f64 (-.f64 v (/.f64 v e)) (-.f64 (/.f64 (/.f64 v e) e) (/.f64 v (pow.f64 e 3)))) |
(+.f64 v (-.f64 (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e)) (/.f64 v (pow.f64 e 3)))) |
(+.f64 (-.f64 v (/.f64 v e)) (/.f64 (/.f64 (-.f64 v (/.f64 v e)) e) e)) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 v (/.f64 (+.f64 1 e) e)) |
(/.f64 e (/.f64 (+.f64 1 e) v)) |
(*.f64 v (/.f64 e (+.f64 1 e))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 v (/.f64 (+.f64 1 e) e)) |
(/.f64 e (/.f64 (+.f64 1 e) v)) |
(*.f64 v (/.f64 e (+.f64 1 e))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 v (/.f64 (+.f64 1 e) e)) |
(/.f64 e (/.f64 (+.f64 1 e) v)) |
(*.f64 v (/.f64 e (+.f64 1 e))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 v (/.f64 (+.f64 1 e) e)) |
(/.f64 e (/.f64 (+.f64 1 e) v)) |
(*.f64 v (/.f64 e (+.f64 1 e))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 v (/.f64 (+.f64 1 e) e)) |
(/.f64 e (/.f64 (+.f64 1 e) v)) |
(*.f64 v (/.f64 e (+.f64 1 e))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 v (/.f64 (+.f64 1 e) e)) |
(/.f64 e (/.f64 (+.f64 1 e) v)) |
(*.f64 v (/.f64 e (+.f64 1 e))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 v (/.f64 (+.f64 1 e) e)) |
(/.f64 e (/.f64 (+.f64 1 e) v)) |
(*.f64 v (/.f64 e (+.f64 1 e))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 v (/.f64 (+.f64 1 e) e)) |
(/.f64 e (/.f64 (+.f64 1 e) v)) |
(*.f64 v (/.f64 e (+.f64 1 e))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 v (/.f64 (+.f64 1 e) e)) |
(/.f64 e (/.f64 (+.f64 1 e) v)) |
(*.f64 v (/.f64 e (+.f64 1 e))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 v (/.f64 (+.f64 1 e) e)) |
(/.f64 e (/.f64 (+.f64 1 e) v)) |
(*.f64 v (/.f64 e (+.f64 1 e))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 v (/.f64 (+.f64 1 e) e)) |
(/.f64 e (/.f64 (+.f64 1 e) v)) |
(*.f64 v (/.f64 e (+.f64 1 e))) |
(/.f64 (*.f64 v e) (+.f64 1 e)) |
(/.f64 v (/.f64 (+.f64 1 e) e)) |
(/.f64 e (/.f64 (+.f64 1 e) v)) |
(*.f64 v (/.f64 e (+.f64 1 e))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (sin.f64 v) e) |
| ✓ | 1.7b | (-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1) |
Compiled 25 to 11 computations (56% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | v | @ | 0 | (-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1) |
| 0.0ms | e | @ | -inf | (-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1) |
| 0.0ms | e | @ | -inf | (*.f64 (sin.f64 v) e) |
| 0.0ms | e | @ | inf | (-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1) |
| 0.0ms | v | @ | 0 | (*.f64 (sin.f64 v) e) |
| 1× | batch-egg-rewrite |
| 842× | pow1_binary64 |
| 783× | add-log-exp_binary64 |
| 783× | log1p-expm1-u_binary64 |
| 783× | expm1-log1p-u_binary64 |
| 769× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 1 | 173 | 12 |
| 2 | 2375 | 12 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1) |
(*.f64 (sin.f64 v) e) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (sin.f64 v) e -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 (sin.f64 v) e -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 v) e) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 v) e 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 (sin.f64 v) e 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 v) e -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 v) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) e)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) e) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 e) 2) (*.f64 (cbrt.f64 e) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2) (cbrt.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) (sqrt.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 v)) (*.f64 (sqrt.f64 (sin.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (+.f64 (*.f64 (sin.f64 v) e) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) -1) (/.f64 1 (+.f64 (*.f64 (sin.f64 v) e) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 (sin.f64 v) e 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (sin.f64 v) e 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) (pow.f64 (cbrt.f64 e) 2)) (cbrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 2)) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (+.f64 (*.f64 (sin.f64 v) e) 2)) (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (sin.f64 v) e) 2) (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (+.f64 (*.f64 (sin.f64 v) e) 2)))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 (sin.f64 v) e -1) (fma.f64 (sin.f64 v) e -1))) (-.f64 1 (fma.f64 (sin.f64 v) e -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 v) e) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 e) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (sin.f64 v) e 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 v) e 1)) 2) (cbrt.f64 (fma.f64 (sin.f64 v) e 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (sin.f64 v) e 1)) (sqrt.f64 (fma.f64 (sin.f64 v) e 1)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (sin.f64 v) e -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 (sin.f64 v) e -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 v) e) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 v) e 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 (sin.f64 v) e 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 v) e -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (sin.f64 v) e 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 3) (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (+.f64 (*.f64 (sin.f64 v) e) 2))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (+.f64 (*.f64 (sin.f64 v) e) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (+.f64 (*.f64 (sin.f64 v) e) 2)) (/.f64 1 (+.f64 (*.f64 (sin.f64 v) e) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (+.f64 (*.f64 (sin.f64 v) e) 2)) (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (sin.f64 v) e) 2) (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (+.f64 (*.f64 (sin.f64 v) e) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (-.f64 1 (*.f64 (fma.f64 (sin.f64 v) e 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) -1) (+.f64 (*.f64 (sin.f64 v) e) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) -1) (-.f64 (fma.f64 (sin.f64 v) e 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (+.f64 (*.f64 (sin.f64 v) e) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) -1)) (neg.f64 (+.f64 (*.f64 (sin.f64 v) e) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 (sin.f64 v) e -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 (sin.f64 v) e -1) (fma.f64 (sin.f64 v) e -1)) (fma.f64 (sin.f64 v) e -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 (sin.f64 v) e -1) (fma.f64 (sin.f64 v) e -1))) (-.f64 1 (fma.f64 (sin.f64 v) e -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 v) e) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 e) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (sin.f64 v) e 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 v) e 1)) 2) (cbrt.f64 (fma.f64 (sin.f64 v) e 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (sin.f64 v) e 1)) (sqrt.f64 (fma.f64 (sin.f64 v) e 1)) -1))))) |
| 1× | egg-herbie |
| 1155× | fma-def_binary64 |
| 690× | unswap-sqr_binary64 |
| 654× | sqr-pow_binary64 |
| 596× | cube-prod_binary64 |
| 430× | fabs-mul_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 272 |
| 1 | 73 | 266 |
| 2 | 194 | 244 |
| 3 | 588 | 240 |
| 4 | 1572 | 236 |
| 5 | 2429 | 236 |
| 6 | 2636 | 236 |
| 7 | 3084 | 236 |
| 8 | 3963 | 236 |
| 9 | 4106 | 236 |
| 10 | 4333 | 236 |
| 11 | 4815 | 236 |
| 12 | 5411 | 236 |
| 13 | 6284 | 236 |
| 14 | 7393 | 236 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 v e) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (*.f64 v e)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (+.f64 (*.f64 v e) (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e))))) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 v e) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (*.f64 v e)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (+.f64 (*.f64 v e) (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e))))) |
| Outputs |
|---|
(*.f64 v e) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (*.f64 v e)) |
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (*.f64 v e)) |
(*.f64 e (+.f64 v (*.f64 -1/6 (pow.f64 v 3)))) |
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e))) |
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (*.f64 v e))) |
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (*.f64 e (+.f64 (*.f64 1/120 (pow.f64 v 5)) v))) |
(*.f64 e (+.f64 (*.f64 -1/6 (pow.f64 v 3)) (fma.f64 1/120 (pow.f64 v 5) v))) |
(*.f64 e (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/6 (pow.f64 v 3) v))) |
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) v))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (+.f64 (*.f64 v e) (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e))))) |
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (fma.f64 v e (*.f64 -1/5040 (*.f64 e (pow.f64 v 7)))))) |
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (*.f64 e (+.f64 (*.f64 -1/5040 (pow.f64 v 7)) v)))) |
(*.f64 e (+.f64 (fma.f64 -1/5040 (pow.f64 v 7) v) (fma.f64 -1/6 (pow.f64 v 3) (*.f64 1/120 (pow.f64 v 5))))) |
(*.f64 e (+.f64 (fma.f64 1/120 (pow.f64 v 5) v) (fma.f64 -1/5040 (pow.f64 v 7) (*.f64 -1/6 (pow.f64 v 3))))) |
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 -1/5040 (pow.f64 v 7) (fma.f64 1/120 (pow.f64 v 5) v)))) |
(*.f64 e (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) (fma.f64 -1/6 (pow.f64 v 3) v)))) |
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) v)))) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(*.f64 v e) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (*.f64 v e)) |
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (*.f64 v e)) |
(*.f64 e (+.f64 v (*.f64 -1/6 (pow.f64 v 3)))) |
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v)) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e))) |
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (*.f64 v e))) |
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (*.f64 e (+.f64 (*.f64 1/120 (pow.f64 v 5)) v))) |
(*.f64 e (+.f64 (*.f64 -1/6 (pow.f64 v 3)) (fma.f64 1/120 (pow.f64 v 5) v))) |
(*.f64 e (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/6 (pow.f64 v 3) v))) |
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) v))) |
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (+.f64 (*.f64 v e) (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e))))) |
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (fma.f64 v e (*.f64 -1/5040 (*.f64 e (pow.f64 v 7)))))) |
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (*.f64 e (+.f64 (*.f64 -1/5040 (pow.f64 v 7)) v)))) |
(*.f64 e (+.f64 (fma.f64 -1/5040 (pow.f64 v 7) v) (fma.f64 -1/6 (pow.f64 v 3) (*.f64 1/120 (pow.f64 v 5))))) |
(*.f64 e (+.f64 (fma.f64 1/120 (pow.f64 v 5) v) (fma.f64 -1/5040 (pow.f64 v 7) (*.f64 -1/6 (pow.f64 v 3))))) |
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 -1/5040 (pow.f64 v 7) (fma.f64 1/120 (pow.f64 v 5) v)))) |
(*.f64 e (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) (fma.f64 -1/6 (pow.f64 v 3) v)))) |
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) v)))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 (sin.f64 v) e) | |
| ✓ | 0.6b | (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3) |
| ✓ | 12.4b | (cbrt.f64 (*.f64 (sin.f64 v) e)) |
Compiled 23 to 8 computations (65.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | v | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3) |
| 2.0ms | v | @ | inf | (cbrt.f64 (*.f64 (sin.f64 v) e)) |
| 1.0ms | v | @ | -inf | (cbrt.f64 (*.f64 (sin.f64 v) e)) |
| 1.0ms | v | @ | inf | (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3) |
| 1.0ms | v | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3) |
| 1× | batch-egg-rewrite |
| 638× | pow1_binary64 |
| 596× | add-log-exp_binary64 |
| 596× | log1p-expm1-u_binary64 |
| 596× | expm1-log1p-u_binary64 |
| 581× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 166 | 14 |
| 2 | 1669 | 14 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 (sin.f64 v) e)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 (sin.f64 v) e))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 v)) (cbrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 e) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 v) e) 1/6) (pow.f64 (*.f64 (sin.f64 v) e) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 v) e) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) e)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) e) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 v) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2) (cbrt.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 v)) (*.f64 (cbrt.f64 e) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 e) 2) (*.f64 (cbrt.f64 e) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) (sqrt.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 v) e) 1/6) (*.f64 (pow.f64 (*.f64 (sin.f64 v) e) 1/6) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 v)) (*.f64 (sqrt.f64 (sin.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))) 2) 3) (cbrt.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) (pow.f64 (cbrt.f64 e) 2)) (cbrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 2)) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2) 1) (cbrt.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2) (cbrt.f64 (sin.f64 v))) (cbrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2) (pow.f64 (*.f64 (sin.f64 v) e) 1/6)) (pow.f64 (*.f64 (sin.f64 v) e) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 v) e))))))) |
| 1× | egg-herbie |
| 1290× | sqr-pow_binary64 |
| 666× | pow-sqr_binary64 |
| 625× | cube-prod_binary64 |
| 559× | fabs-mul_binary64 |
| 373× | unpow3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 136 |
| 1 | 26 | 112 |
| 2 | 40 | 112 |
| 3 | 51 | 112 |
| 4 | 75 | 112 |
| 5 | 169 | 112 |
| 6 | 541 | 112 |
| 7 | 1207 | 112 |
| 8 | 1299 | 112 |
| 9 | 1437 | 112 |
| 10 | 1600 | 112 |
| 11 | 1839 | 112 |
| 12 | 2166 | 112 |
| 13 | 2594 | 112 |
| 14 | 3100 | 112 |
| 15 | 3706 | 112 |
| 16 | 4429 | 112 |
| 17 | 4750 | 112 |
| 18 | 5034 | 112 |
| 19 | 5258 | 112 |
| 20 | 5438 | 112 |
| 21 | 5522 | 112 |
| 22 | 6465 | 112 |
| 23 | 7442 | 112 |
| 24 | 7908 | 112 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 (sin.f64 v) e) 1/3) |
(pow.f64 (*.f64 (sin.f64 v) e) 1/3) |
(pow.f64 (*.f64 (sin.f64 v) e) 1/3) |
(pow.f64 (*.f64 (sin.f64 v) e) 1/3) |
(pow.f64 (*.f64 (sin.f64 v) e) 1/3) |
(pow.f64 (*.f64 (sin.f64 v) e) 1/3) |
(pow.f64 (*.f64 (sin.f64 v) e) 1/3) |
(pow.f64 (*.f64 (sin.f64 v) e) 1/3) |
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3)) |
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3)) |
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3)) |
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3)) |
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3)) |
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3)) |
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3)) |
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3)) |
| Outputs |
|---|
(pow.f64 (*.f64 (sin.f64 v) e) 1/3) |
(cbrt.f64 (*.f64 (sin.f64 v) e)) |
(pow.f64 (*.f64 (sin.f64 v) e) 1/3) |
(cbrt.f64 (*.f64 (sin.f64 v) e)) |
(pow.f64 (*.f64 (sin.f64 v) e) 1/3) |
(cbrt.f64 (*.f64 (sin.f64 v) e)) |
(pow.f64 (*.f64 (sin.f64 v) e) 1/3) |
(cbrt.f64 (*.f64 (sin.f64 v) e)) |
(pow.f64 (*.f64 (sin.f64 v) e) 1/3) |
(cbrt.f64 (*.f64 (sin.f64 v) e)) |
(pow.f64 (*.f64 (sin.f64 v) e) 1/3) |
(cbrt.f64 (*.f64 (sin.f64 v) e)) |
(pow.f64 (*.f64 (sin.f64 v) e) 1/3) |
(cbrt.f64 (*.f64 (sin.f64 v) e)) |
(pow.f64 (*.f64 (sin.f64 v) e) 1/3) |
(cbrt.f64 (*.f64 (sin.f64 v) e)) |
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3)) |
(*.f64 (sin.f64 v) (*.f64 e 1)) |
(*.f64 (sin.f64 v) e) |
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3)) |
(*.f64 (sin.f64 v) (*.f64 e 1)) |
(*.f64 (sin.f64 v) e) |
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3)) |
(*.f64 (sin.f64 v) (*.f64 e 1)) |
(*.f64 (sin.f64 v) e) |
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3)) |
(*.f64 (sin.f64 v) (*.f64 e 1)) |
(*.f64 (sin.f64 v) e) |
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3)) |
(*.f64 (sin.f64 v) (*.f64 e 1)) |
(*.f64 (sin.f64 v) e) |
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3)) |
(*.f64 (sin.f64 v) (*.f64 e 1)) |
(*.f64 (sin.f64 v) e) |
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3)) |
(*.f64 (sin.f64 v) (*.f64 e 1)) |
(*.f64 (sin.f64 v) e) |
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3)) |
(*.f64 (sin.f64 v) (*.f64 e 1)) |
(*.f64 (sin.f64 v) e) |
Compiled 8598 to 4940 computations (42.5% saved)
35 alts after pruning (27 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 528 | 12 | 540 |
| Fresh | 6 | 15 | 21 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 7 | 8 |
| Total | 535 | 35 | 570 |
| Status | Error | Program |
|---|---|---|
| 36.7b | (cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3)) | |
| 48.4b | (-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1) | |
| ✓ | 15.5b | (*.f64 e (log.f64 (exp.f64 (sin.f64 v)))) |
| 0.9b | (/.f64 e (/.f64 1 (sin.f64 v))) | |
| ✓ | 62.7b | (-.f64 v (/.f64 v e)) |
| ✓ | 0.5b | (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) |
| 0.8b | (*.f64 (sin.f64 v) e) | |
| ✓ | 1.8b | (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3) |
| 62.7b | (/.f64 (neg.f64 v) e) | |
| 15.4b | (*.f64 e (-.f64 (+.f64 1 (sin.f64 v)) 1)) | |
| 32.6b | (*.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v))) | |
| 1.6b | (*.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) e)) | |
| ✓ | 47.9b | (-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1) |
| 1.1b | (/.f64 1 (/.f64 (fma.f64 (cos.f64 v) e 1) (*.f64 e (sin.f64 v)))) | |
| 61.3b | v | |
| 47.5b | (+.f64 e (*.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) e)) | |
| 33.1b | (*.f64 v (-.f64 e (*.f64 e e))) | |
| ✓ | 47.4b | (*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1)) |
| 62.7b | (*.f64 v (-.f64 1 (/.f64 1 e))) | |
| 0.8b | (*.f64 e (expm1.f64 (log1p.f64 (sin.f64 v)))) | |
| 31.9b | (/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v)))) | |
| ✓ | 0.1b | (*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
| 10.2b | (*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3))) | |
| 33.9b | (/.f64 1 (*.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v))) | |
| 33.0b | (*.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v) | |
| 61.5b | (/.f64 (-.f64 (*.f64 v v) (*.f64 (/.f64 (neg.f64 v) e) (/.f64 (neg.f64 v) e))) (-.f64 v (/.f64 (neg.f64 v) e))) | |
| 15.6b | (*.f64 e (log.f64 (log.f64 (exp.f64 (exp.f64 (sin.f64 v)))))) | |
| 32.6b | (*.f64 e (pow.f64 (sqrt.f64 (sin.f64 v)) 2)) | |
| 33.0b | (/.f64 e (/.f64 (+.f64 e 1) v)) | |
| 1.1b | (*.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e)) | |
| ✓ | 33.2b | (*.f64 v e) |
| 0.5b | (*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e))) | |
| 33.0b | (*.f64 e (/.f64 1 (/.f64 (+.f64 1 e) v))) | |
| 63.1b | (*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e)) | |
| 34.1b | (/.f64 1 (/.f64 1 (*.f64 v e))) |
Compiled 367 to 252 computations (31.3% saved)
| Inputs |
|---|
v |
(*.f64 v e) |
(/.f64 (neg.f64 v) e) |
(-.f64 v (/.f64 v e)) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(/.f64 1 (/.f64 1 (*.f64 v e))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(/.f64 e (/.f64 (+.f64 e 1) v)) |
(*.f64 e (/.f64 v (+.f64 e 1))) |
(*.f64 (/.f64 e (+.f64 e 1)) v) |
(*.f64 e (/.f64 1 (/.f64 (+.f64 1 e) v))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v) |
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e)) |
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v))) |
(+.f64 e (*.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) e)) |
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v))) |
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1) |
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1)) |
(/.f64 (-.f64 (*.f64 v v) (*.f64 (/.f64 (neg.f64 v) e) (/.f64 (neg.f64 v) e))) (-.f64 v (/.f64 (neg.f64 v) e))) |
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v)))) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(/.f64 e (/.f64 1 (sin.f64 v))) |
(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1) |
(*.f64 e (-.f64 (+.f64 1 (sin.f64 v)) 1)) |
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e)) |
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v)))) |
(*.f64 e (exp.f64 (log.f64 (sin.f64 v)))) |
(*.f64 e (expm1.f64 (log1p.f64 (sin.f64 v)))) |
(*.f64 e (log.f64 (exp.f64 (sin.f64 v)))) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3)) |
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3)) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2) |
(*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3))) |
(*.f64 e (pow.f64 (sqrt.f64 (sin.f64 v)) 2)) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3) |
(*.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e)) |
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) |
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) |
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) |
(/.f64 (cbrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3)) (+.f64 1 e)) |
(/.f64 1 (/.f64 (fma.f64 (cos.f64 v) e 1) (*.f64 e (sin.f64 v)))) |
(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v)))) |
(*.f64 e (-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)) |
(*.f64 e (-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)) |
(*.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v))) |
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) 3) |
(/.f64 (pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2) (+.f64 1 (*.f64 e (cos.f64 v)))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 3) (+.f64 1 (*.f64 e (cos.f64 v)))) |
(/.f64 (cbrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3)) (+.f64 1 (*.f64 e (cos.f64 v)))) |
(*.f64 e (log.f64 (log.f64 (exp.f64 (exp.f64 (sin.f64 v)))))) |
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) e)) |
(*.f64 e (expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))) |
(*.f64 e (expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) |
(*.f64 e (log.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) |
(*.f64 e (pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 2)) |
(*.f64 e (cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 3))) |
(*.f64 e (cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3))) |
(*.f64 e (pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2)) |
(/.f64 (*.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v))) (+.f64 1 (*.f64 e (cos.f64 v)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) e)) (+.f64 1 (*.f64 e (cos.f64 v)))) |
(*.f64 e (log.f64 (log.f64 (exp.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) |
| Outputs |
|---|
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
3 calls:
| 44.0ms | e |
| 40.0ms | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v)))) |
| 38.0ms | v |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | e |
| 0.1b | 1 | v |
| 0.1b | 1 | (/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v)))) |
Compiled 687 to 323 computations (53% saved)
| Inputs |
|---|
v |
(*.f64 v e) |
(/.f64 (neg.f64 v) e) |
(-.f64 v (/.f64 v e)) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(/.f64 1 (/.f64 1 (*.f64 v e))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(/.f64 e (/.f64 (+.f64 e 1) v)) |
(*.f64 e (/.f64 v (+.f64 e 1))) |
(*.f64 (/.f64 e (+.f64 e 1)) v) |
(*.f64 e (/.f64 1 (/.f64 (+.f64 1 e) v))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v) |
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e)) |
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v))) |
(+.f64 e (*.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) e)) |
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v))) |
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1) |
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1)) |
(/.f64 (-.f64 (*.f64 v v) (*.f64 (/.f64 (neg.f64 v) e) (/.f64 (neg.f64 v) e))) (-.f64 v (/.f64 (neg.f64 v) e))) |
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v)))) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(/.f64 e (/.f64 1 (sin.f64 v))) |
(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1) |
(*.f64 e (-.f64 (+.f64 1 (sin.f64 v)) 1)) |
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e))) |
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e)) |
| Outputs |
|---|
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e))) |
2 calls:
| 17.0ms | v |
| 16.0ms | e |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 1 | e |
| 0.5b | 1 | v |
Compiled 246 to 127 computations (48.4% saved)
| Inputs |
|---|
v |
(*.f64 v e) |
(/.f64 (neg.f64 v) e) |
(-.f64 v (/.f64 v e)) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(/.f64 1 (/.f64 1 (*.f64 v e))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(/.f64 e (/.f64 (+.f64 e 1) v)) |
(*.f64 e (/.f64 v (+.f64 e 1))) |
(*.f64 (/.f64 e (+.f64 e 1)) v) |
(*.f64 e (/.f64 1 (/.f64 (+.f64 1 e) v))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v) |
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e)) |
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v))) |
(+.f64 e (*.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) e)) |
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v))) |
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1) |
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1)) |
(/.f64 (-.f64 (*.f64 v v) (*.f64 (/.f64 (neg.f64 v) e) (/.f64 (neg.f64 v) e))) (-.f64 v (/.f64 (neg.f64 v) e))) |
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v)))) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(*.f64 (sin.f64 v) e) |
(/.f64 e (/.f64 1 (sin.f64 v))) |
(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1) |
(*.f64 e (-.f64 (+.f64 1 (sin.f64 v)) 1)) |
| Outputs |
|---|
(*.f64 (sin.f64 v) e) |
2 calls:
| 17.0ms | v |
| 14.0ms | e |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 1 | e |
| 0.8b | 1 | v |
Compiled 230 to 119 computations (48.3% saved)
| Inputs |
|---|
v |
(*.f64 v e) |
(/.f64 (neg.f64 v) e) |
(-.f64 v (/.f64 v e)) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(/.f64 1 (/.f64 1 (*.f64 v e))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(/.f64 e (/.f64 (+.f64 e 1) v)) |
(*.f64 e (/.f64 v (+.f64 e 1))) |
(*.f64 (/.f64 e (+.f64 e 1)) v) |
(*.f64 e (/.f64 1 (/.f64 (+.f64 1 e) v))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v) |
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e)) |
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v))) |
(+.f64 e (*.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) e)) |
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v))) |
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1) |
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1)) |
(/.f64 (-.f64 (*.f64 v v) (*.f64 (/.f64 (neg.f64 v) e) (/.f64 (neg.f64 v) e))) (-.f64 v (/.f64 (neg.f64 v) e))) |
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v)))) |
| Outputs |
|---|
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v)))) |
2 calls:
| 16.0ms | v |
| 13.0ms | e |
| Error | Segments | Branch |
|---|---|---|
| 31.9b | 1 | e |
| 31.9b | 1 | v |
Compiled 196 to 105 computations (46.4% saved)
| Inputs |
|---|
v |
(*.f64 v e) |
(/.f64 (neg.f64 v) e) |
(-.f64 v (/.f64 v e)) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(/.f64 1 (/.f64 1 (*.f64 v e))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(/.f64 e (/.f64 (+.f64 e 1) v)) |
(*.f64 e (/.f64 v (+.f64 e 1))) |
(*.f64 (/.f64 e (+.f64 e 1)) v) |
(*.f64 e (/.f64 1 (/.f64 (+.f64 1 e) v))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v) |
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e)) |
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v))) |
(+.f64 e (*.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) e)) |
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v))) |
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1) |
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1)) |
(/.f64 (-.f64 (*.f64 v v) (*.f64 (/.f64 (neg.f64 v) e) (/.f64 (neg.f64 v) e))) (-.f64 v (/.f64 (neg.f64 v) e))) |
| Outputs |
|---|
(*.f64 e (/.f64 v (+.f64 e 1))) |
2 calls:
| 12.0ms | e |
| 11.0ms | v |
| Error | Segments | Branch |
|---|---|---|
| 32.9b | 1 | e |
| 32.9b | 1 | v |
Compiled 175 to 91 computations (48% saved)
| Inputs |
|---|
v |
(*.f64 v e) |
(/.f64 (neg.f64 v) e) |
(-.f64 v (/.f64 v e)) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(/.f64 1 (/.f64 1 (*.f64 v e))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(/.f64 e (/.f64 (+.f64 e 1) v)) |
| Outputs |
|---|
(/.f64 e (/.f64 (+.f64 e 1) v)) |
2 calls:
| 6.0ms | v |
| 6.0ms | e |
| Error | Segments | Branch |
|---|---|---|
| 33.0b | 1 | e |
| 33.0b | 1 | v |
Compiled 61 to 27 computations (55.7% saved)
| Inputs |
|---|
v |
(*.f64 v e) |
(/.f64 (neg.f64 v) e) |
(-.f64 v (/.f64 v e)) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(/.f64 1 (/.f64 1 (*.f64 v e))) |
(*.f64 v (-.f64 e (*.f64 e e))) |
| Outputs |
|---|
(*.f64 v (-.f64 e (*.f64 e e))) |
2 calls:
| 8.0ms | v |
| 6.0ms | e |
| Error | Segments | Branch |
|---|---|---|
| 33.1b | 1 | e |
| 33.1b | 1 | v |
Compiled 54 to 23 computations (57.4% saved)
Total -29.7b remaining (-89.3%)
Threshold costs -29.7b (-89.3%)
| Inputs |
|---|
v |
(*.f64 v e) |
(/.f64 (neg.f64 v) e) |
(-.f64 v (/.f64 v e)) |
(-.f64 v (/.f64 v e)) |
(*.f64 v (-.f64 1 (/.f64 1 e))) |
| Outputs |
|---|
(*.f64 v e) |
2 calls:
| 5.0ms | e |
| 5.0ms | v |
| Error | Segments | Branch |
|---|---|---|
| 33.2b | 1 | e |
| 33.2b | 1 | v |
Compiled 33 to 16 computations (51.5% saved)
| 1× | egg-herbie |
| 14× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 101 |
| 1 | 62 | 101 |
| 2 | 77 | 101 |
| 3 | 88 | 101 |
| 4 | 94 | 101 |
| 5 | 95 | 101 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e))) |
(*.f64 (sin.f64 v) e) |
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v)))) |
(*.f64 e (/.f64 v (+.f64 e 1))) |
(/.f64 e (/.f64 (+.f64 e 1) v)) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(*.f64 v e) |
v |
| Outputs |
|---|
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) |
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))) |
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e))) |
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1))) |
(*.f64 (sin.f64 v) e) |
(*.f64 e (sin.f64 v)) |
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v)))) |
(/.f64 e (+.f64 (*.f64 v (+.f64 (*.f64 e -1/2) (*.f64 1/6 (+.f64 e 1)))) (+.f64 (/.f64 e v) (/.f64 1 v)))) |
(/.f64 e (+.f64 (*.f64 v (+.f64 (*.f64 e -1/2) (*.f64 (+.f64 e 1) 1/6))) (+.f64 (/.f64 e v) (/.f64 1 v)))) |
(*.f64 e (/.f64 v (+.f64 e 1))) |
(/.f64 e (/.f64 (+.f64 e 1) v)) |
(*.f64 v (-.f64 e (*.f64 e e))) |
(*.f64 v e) |
(*.f64 e v) |
v |
Compiled 87 to 58 computations (33.3% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 2× | associate-/r/_binary64 |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 17 |
| 1 | 17 | 15 |
| 2 | 23 | 15 |
| 3 | 26 | 15 |
| 4 | 27 | 15 |
| 1× | saturated |
Compiled 51 to 35 computations (31.4% saved)
Compiled 71 to 40 computations (43.7% saved)
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