Details

Time bar (total: 9.7s)

analyze16.0ms (0.2%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
50%12.5%12.5%75%0%0%0%3
75%18.7%6.2%75%0%0%0%4
87.5%21.8%3.1%75%0%0%0%5
93.8%23.4%1.6%75%0%0%0%6
93.8%23.4%1.6%75%0%0%0%7
96.9%24.2%0.8%75%0%0%0%8
96.9%24.2%0.8%75%0%0%0%9
98.4%24.6%0.4%75%0%0%0%10
98.4%24.6%0.4%75%0%0%0%11
99.2%24.8%0.2%75%0%0%0%12
Compiler

Compiled 20 to 14 computations (30% saved)

sample3.3s (34.3%)

Results
1.4s5206×body256valid
1.4s2047×body1024valid
453.0ms999×body512valid
3.0ms4×body2048valid
Bogosity

preprocess322.0ms (3.3%)

Algorithm
2×egg-herbie
Rules
8×*-commutative_binary64
4×associate-/l*_binary64
4×associate-/r/_binary64
4×fma-def_binary64
2×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01634
12830
24030
34630
44830
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
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)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
2×associate-/l*_binary64
2×associate-/r/_binary64
2×fma-def_binary64
1×+-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01017
11715
22315
32615
42715
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
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)))

eval1.0ms (0%)

Compiler

Compiled 23 to 13 computations (43.5% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.2b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.2b
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
▶0.2b
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
Compiler

Compiled 25 to 17 computations (32% saved)

localize31.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sin.f64 v)
✓0.0b
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
✓0.2b
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
Compiler

Compiled 32 to 14 computations (56.3% saved)

series23.0ms (0.2%)

Counts
3 → 52
Calls

15 calls:

TimeVariablePointExpression
3.0ms
v
@0
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
3.0ms
v
@0
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
2.0ms
v
@inf
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
2.0ms
e
@inf
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
2.0ms
v
@-inf
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))

rewrite104.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
921×pow1_binary64
846×add-log-exp_binary64
846×log1p-expm1-u_binary64
846×expm1-log1p-u_binary64
826×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
117830
2223630
Stop Event
1×node limit
Counts
3 → 69
Calls
Call 1
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))
(sin.f64 v)
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))))))))
((#(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 log.f64 (exp.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 v) 3))))) (#(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)))))))

simplify112.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
956×fma-def_binary64
728×associate-*l*_binary64
662×associate-*r*_binary64
255×associate-+l+_binary64
248×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01621952
15011868
217661828
Stop Event
1×node limit
Counts
121 → 125
Calls
Call 1
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))))))
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)))))
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 (cos.f64 v) (*.f64 (*.f64 e e) (sin.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 (*.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) (*.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 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))) (/.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 (/.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 (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) (*.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 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))) (/.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 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.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 (*.f64 v e) (+.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))) (*.f64 (/.f64 v (+.f64 e 1)) e))
(fma.f64 (pow.f64 v 3) (fma.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2 (*.f64 (/.f64 -1/6 (+.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 (*.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 (*.f64 v e) (+.f64 e 1))) (*.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 (*.f64 e 1/120) (+.f64 e 1)) (fma.f64 -1/2 (/.f64 e (/.f64 (+.f64 e 1) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))))) (/.f64 (*.f64 (*.f64 e e) 1/24) (pow.f64 (+.f64 e 1) 2)))) (*.f64 (/.f64 v (+.f64 e 1)) e)))
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(*.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 (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 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 (sin.f64 v) (*.f64 (*.f64 e e) (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) (*.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 (/.f64 (sin.f64 v) (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 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(+.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 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 4))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)))))
(+.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 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 4)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2))))))
(/.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 (/.f64 (sin.f64 v) (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 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(+.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 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 4))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)))))
(+.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 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 4)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2))))))
v
(+.f64 v (*.f64 -1/6 (pow.f64 v 3)))
(+.f64 v (*.f64 (pow.f64 v 3) -1/6))
(fma.f64 (pow.f64 v 3) -1/6 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 (pow.f64 v 5) 1/120)))
(+.f64 v (fma.f64 (pow.f64 v 5) 1/120 (*.f64 (pow.f64 v 3) -1/6)))
(fma.f64 (pow.f64 v 3) -1/6 (fma.f64 (pow.f64 v 5) 1/120 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 (pow.f64 v 5) 1/120))))
(+.f64 (fma.f64 (pow.f64 v 3) -1/6 v) (fma.f64 (pow.f64 v 5) 1/120 (*.f64 (pow.f64 v 7) -1/5040)))
(+.f64 (fma.f64 (pow.f64 v 3) -1/6 v) (fma.f64 (pow.f64 v 7) -1/5040 (*.f64 (pow.f64 v 5) 1/120)))

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 v)
✓0.0b
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
✓0.1b
(*.f64 e (sin.f64 v))
✓0.2b
(*.f64 e (cos.f64 v))
Compiler

Compiled 34 to 12 computations (64.7% saved)

series19.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
e
@-inf
(*.f64 e (cos.f64 v))
2.0ms
e
@0
(*.f64 e (cos.f64 v))
1.0ms
v
@-inf
(*.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))))

rewrite118.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
552×log-prod_binary64
370×prod-diff_binary64
345×pow-prod-down_binary64
274×pow2_binary64
254×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01029
120727
2283127
Stop Event
1×node limit
Counts
3 → 103
Calls
Call 1
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))))))

simplify121.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
753×fma-neg_binary64
653×fma-def_binary64
501×associate-*l*_binary64
473×associate-*r*_binary64
350×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01161369
13571319
211541282
353431224
Stop Event
1×node limit
Counts
175 → 143
Calls
Call 1
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)))
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(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 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 e (+.f64 e 1)) v)))
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(+.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))

eval208.0ms (2.1%)

Compiler

Compiled 6305 to 3495 computations (44.6% saved)

prune115.0ms (1.2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New27516291
Fresh000
Picked011
Done101
Total27617293
Error
0.0b
Counts
293 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.2b
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
1.1b
(/.f64 (*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 3)) (+.f64 1 (*.f64 e (cos.f64 v))))
1.3b
(*.f64 (sin.f64 v) e)
1.2b
(*.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))))
▶6.2b
(/.f64 (*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3))) (+.f64 1 (*.f64 e (cos.f64 v))))
33.7b
(/.f64 (*.f64 v e) (+.f64 1 e))
0.3b
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
0.2b
(/.f64 (*.f64 e (expm1.f64 (log1p.f64 (sin.f64 v)))) (+.f64 1 (*.f64 e (cos.f64 v))))
0.2b
(/.f64 (*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v)))) (+.f64 1 (*.f64 e (cos.f64 v))))
33.5b
(/.f64 (cbrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3)) (+.f64 1 (*.f64 e (cos.f64 v))))
0.6b
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
14.1b
(/.f64 (*.f64 e (-.f64 (+.f64 1 (sin.f64 v)) 1)) (+.f64 1 (*.f64 e (cos.f64 v))))
▶33.7b
(*.f64 e (/.f64 v (+.f64 e 1)))
▶1.2b
(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e) -1)
✓0.2b
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
33.7b
(*.f64 (/.f64 e (+.f64 e 1)) v)
▶0.8b
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
Compiler

Compiled 439 to 307 computations (30.1% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 v)
✓0.0b
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
✓0.2b
(*.f64 (cos.f64 v) e)
✓0.2b
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
Compiler

Compiled 39 to 15 computations (61.5% saved)

series7.0ms (0.1%)

Counts
3 → 44
Calls

18 calls:

TimeVariablePointExpression
1.0ms
v
@0
(/.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))))
0.0ms
v
@inf
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
0.0ms
e
@0
(*.f64 e (/.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)))

rewrite72.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
536×log-prod_binary64
361×prod-diff_binary64
343×pow-prod-down_binary64
274×pow2_binary64
257×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01037
120733
2277233
Stop Event
1×node limit
Counts
3 → 107
Calls
Call 1
Inputs
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(*.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 e (/.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 (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 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))) 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)) (cbrt.f64 (pow.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 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 e (/.f64 (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 e (/.f64 (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 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 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 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 e (/.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 e (/.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 e (/.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 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) 1) 1))))))
((#(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 exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 e (cos.f64 v))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 e (cos.f64 v))) 3) 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)) (cbrt.f64 (pow.f64 (fma.f64 e (cos.f64 v) 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.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 (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 (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 (exp.f64 (log1p.f64 (/.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 (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) (cbrt.f64 (pow.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)) (cbrt.f64 (pow.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 (pow.f64 (fma.f64 e (cos.f64 v) 1) -1/2) (/.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 (/.f64 (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 (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 (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)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (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 (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 pow.f64 (/.f64 (pow.f64 (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 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) 1) -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 log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(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 (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 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 (log.f64 (pow.f64 (/.f64 (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 (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 (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) (sin.f64 v))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1) 1))))))

simplify87.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
953×fma-def_binary64
331×sub-neg_binary64
322×*-commutative_binary64
258×associate-+l+_binary64
252×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01651852
15161786
218171742
371541726
Stop Event
1×node limit
Counts
151 → 161
Calls
Call 1
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)))
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 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
(*.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)))))
(fma.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (*.f64 (*.f64 e (*.f64 e (cos.f64 v))) (neg.f64 (sin.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)))))
(fma.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e) (*.f64 (neg.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) (*.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 (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 (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 (sin.f64 v) (cos.f64 v)) (-.f64 (-.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 (sin.f64 v) (*.f64 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) (*.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 (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 (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 (sin.f64 v) (cos.f64 v)) (-.f64 (-.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 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 v (/.f64 (+.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 (*.f64 v e) (+.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))) (/.f64 v (/.f64 (+.f64 e 1) e)))
(fma.f64 (pow.f64 v 3) (fma.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/2 (/.f64 -1/6 (/.f64 (+.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 (*.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 (*.f64 v e) (+.f64 e 1))) (*.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 (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 v (/.f64 (+.f64 e 1) e))))
(fma.f64 (pow.f64 v 3) (fma.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/2 (/.f64 -1/6 (/.f64 (+.f64 e 1) e))) (fma.f64 (pow.f64 v 5) (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (+.f64 (*.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) -1/24) (/.f64 (*.f64 1/2 (fma.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/2 (/.f64 -1/6 (/.f64 (+.f64 e 1) e)))) (/.f64 (+.f64 e 1) e)))) (*.f64 (/.f64 e (+.f64 e 1)) v)))
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(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 (sin.f64 v) (*.f64 e (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 (sin.f64 v) (*.f64 e (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 (sin.f64 v) (-.f64 (-.f64 (*.f64 (*.f64 e e) (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))) (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))) (*.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3)))))
(fma.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (neg.f64 (pow.f64 (cos.f64 v) 3))) (*.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 (cos.f64 v) e))
(/.f64 (/.f64 (sin.f64 v) (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 (/.f64 (sin.f64 v) (cos.f64 v)) e) (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 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)))
(+.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 (/.f64 (sin.f64 v) (cos.f64 v)) e) (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 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))))
(-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(+.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 (/.f64 (sin.f64 v) (cos.f64 v)) e) (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 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))) (-.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) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))) (-.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 (/.f64 (sin.f64 v) (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 (/.f64 (sin.f64 v) (cos.f64 v)) e) (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 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)))
(+.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 (/.f64 (sin.f64 v) (cos.f64 v)) e) (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 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))))
(-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(+.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 (/.f64 (sin.f64 v) (cos.f64 v)) e) (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 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))) (-.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) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))) (-.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)))))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 v (+.f64 e 1))
✓0.0b
(*.f64 e (/.f64 v (+.f64 e 1)))
Compiler

Compiled 20 to 12 computations (40% saved)

series14.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
7.0ms
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
e
@0
(*.f64 e (/.f64 v (+.f64 e 1)))
1.0ms
v
@-inf
(/.f64 v (+.f64 e 1))

rewrite61.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
824×pow1_binary64
767×log1p-expm1-u_binary64
767×expm1-log1p-u_binary64
766×add-log-exp_binary64
750×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115017
2206517
Stop Event
1×node limit
Counts
2 → 55
Calls
Call 1
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)))))))

simplify68.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
494×sub-neg_binary64
483×distribute-rgt-neg-in_binary64
456×fma-neg_binary64
401×distribute-lft-neg-in_binary64
342×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054582
1156556
2430539
31544496
45594496
Stop Event
1×node limit
Counts
103 → 86
Calls
Call 1
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))))

localize26.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 v)
✓0.0b
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
0.1b
(*.f64 e (sin.f64 v))
Compiler

Compiled 22 to 10 computations (54.5% saved)

series7.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
v
@inf
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
1.0ms
v
@-inf
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
1.0ms
v
@0
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
1.0ms
e
@0
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
1.0ms
e
@inf
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))

rewrite72.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
958×pow1_binary64
891×add-log-exp_binary64
891×log1p-expm1-u_binary64
891×expm1-log1p-u_binary64
86×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
116812
2234412
Stop Event
1×node limit
Counts
1 → 44
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (/.f64 1 (/.f64 (+.f64 e 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (*.f64 (sin.f64 v) (/.f64 1 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) (*.f64 e (/.f64 1 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (sin.f64 v)) (/.f64 1 (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) 2) (cbrt.f64 (*.f64 (/.f64 e (+.f64 e 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 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) (sqrt.f64 (*.f64 (/.f64 e (+.f64 e 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 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (/.f64 1 (+.f64 (neg.f64 e) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 e 1)) (*.f64 e (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e 1) (/.f64 (sin.f64 v) (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 v) 1) (/.f64 e (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (+.f64 e 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))) (+.f64 e 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))) (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (pow.f64 (cbrt.f64 (+.f64 e 1)) 2)) (/.f64 (sin.f64 v) (cbrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 v) (pow.f64 (cbrt.f64 (+.f64 e 1)) 2)) (/.f64 e (cbrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 e 1)) 2)) (/.f64 (*.f64 e (sin.f64 v)) (cbrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 2) (pow.f64 (cbrt.f64 (+.f64 e 1)) 2)) (cbrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) (pow.f64 (cbrt.f64 (+.f64 e 1)) 2)) (/.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) (cbrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (sqrt.f64 (+.f64 e 1))) (/.f64 (sin.f64 v) (sqrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 v) (sqrt.f64 (+.f64 e 1))) (/.f64 e (sqrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 e 1))) (/.f64 (*.f64 e (sin.f64 v)) (sqrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 2) (sqrt.f64 (+.f64 e 1))) (/.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) (sqrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (pow.f64 e 3))) (+.f64 1 (-.f64 (*.f64 e e) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 1 (*.f64 e e))) (-.f64 1 e))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 e 1) (*.f64 e (sin.f64 v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 e (sin.f64 v)) (+.f64 (neg.f64 e) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 e (+.f64 e 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 (+.f64 e 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 e (sin.f64 v))) (log1p.f64 e)))))))

simplify90.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
839×fma-def_binary64
623×associate-*l*_binary64
543×associate-*r*_binary64
463×times-frac_binary64
279×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
059472
1162453
2443432
31550417
46991415
Stop Event
1×node limit
Counts
68 → 68
Calls
Call 1
Inputs
(*.f64 (sin.f64 v) e)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (*.f64 (sin.f64 v) e))
(+.f64 (*.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (*.f64 (sin.f64 v) e)))
(+.f64 (*.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 4))) (*.f64 (sin.f64 v) e))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 3))))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 3))))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e))))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 v 7) e) (+.f64 1 e))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
Outputs
(*.f64 (sin.f64 v) e)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (*.f64 (sin.f64 v) e))
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 e e)) (*.f64 (sin.f64 v) e))
(-.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 e e)))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(+.f64 (*.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (*.f64 (sin.f64 v) e)))
(fma.f64 (sin.f64 v) (pow.f64 e 3) (fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 e e)) (*.f64 (sin.f64 v) e)))
(fma.f64 (sin.f64 v) (pow.f64 e 3) (-.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 e e))))
(fma.f64 (sin.f64 v) e (*.f64 (sin.f64 v) (-.f64 (pow.f64 e 3) (*.f64 e e))))
(*.f64 (*.f64 (sin.f64 v) e) (-.f64 (fma.f64 e e 1) e))
(+.f64 (*.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 4))) (*.f64 (sin.f64 v) e))))
(fma.f64 (sin.f64 v) (pow.f64 e 3) (fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 e e)) (fma.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 4)) (*.f64 (sin.f64 v) e))))
(fma.f64 (sin.f64 v) (pow.f64 e 3) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (neg.f64 (sin.f64 v)) (+.f64 (*.f64 e e) (pow.f64 e 4)))))
(fma.f64 (neg.f64 (sin.f64 v)) (fma.f64 e e (pow.f64 e 4)) (*.f64 (sin.f64 v) (+.f64 e (pow.f64 e 3))))
(*.f64 (sin.f64 v) (+.f64 (-.f64 e (pow.f64 e 4)) (-.f64 (pow.f64 e 3) (*.f64 e e))))
(*.f64 (sin.f64 v) (-.f64 (+.f64 e (pow.f64 e 3)) (fma.f64 e e (pow.f64 e 4))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (neg.f64 (/.f64 (sin.f64 v) e)))
(-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (sin.f64 v) (fma.f64 -1 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (*.f64 e e))))
(+.f64 (sin.f64 v) (-.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (/.f64 (sin.f64 v) e)))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (*.f64 e e)))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 3))))))
(+.f64 (sin.f64 v) (+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (*.f64 e e))) (neg.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)))))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (/.f64 (sin.f64 v) (pow.f64 e 3))))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) (*.f64 e e))))
(fma.f64 (+.f64 1 (/.f64 -1 e)) (/.f64 (sin.f64 v) (*.f64 e e)) (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (neg.f64 (/.f64 (sin.f64 v) e)))
(-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (sin.f64 v) (fma.f64 -1 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (*.f64 e e))))
(+.f64 (sin.f64 v) (-.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (/.f64 (sin.f64 v) e)))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (*.f64 e e)))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 3))))))
(+.f64 (sin.f64 v) (+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (*.f64 e e))) (neg.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)))))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (/.f64 (sin.f64 v) (pow.f64 e 3))))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) (*.f64 e e))))
(fma.f64 (+.f64 1 (/.f64 -1 e)) (/.f64 (sin.f64 v) (*.f64 e e)) (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 v (/.f64 e (+.f64 e 1)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))
(fma.f64 -1/6 (/.f64 (*.f64 e (pow.f64 v 3)) (+.f64 e 1)) (/.f64 v (/.f64 (+.f64 e 1) e)))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 v 3) (+.f64 e 1)) e) (/.f64 (*.f64 v e) (+.f64 e 1)))
(fma.f64 -1/6 (/.f64 e (/.f64 (+.f64 e 1) (pow.f64 v 3))) (*.f64 (/.f64 e (+.f64 e 1)) v))
(*.f64 e (+.f64 (/.f64 v (+.f64 e 1)) (*.f64 -1/6 (/.f64 (pow.f64 v 3) (+.f64 e 1)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e))))
(fma.f64 -1/6 (/.f64 (*.f64 e (pow.f64 v 3)) (+.f64 e 1)) (fma.f64 1/120 (/.f64 (*.f64 e (pow.f64 v 5)) (+.f64 e 1)) (/.f64 v (/.f64 (+.f64 e 1) e))))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 v 3) (+.f64 e 1)) e) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 v 5) (+.f64 e 1)) e) (/.f64 (*.f64 v e) (+.f64 e 1))))
(fma.f64 -1/6 (/.f64 e (/.f64 (+.f64 e 1) (pow.f64 v 3))) (fma.f64 1/120 (*.f64 e (/.f64 (pow.f64 v 5) (+.f64 e 1))) (*.f64 (/.f64 e (+.f64 e 1)) v)))
(fma.f64 -1/6 (*.f64 (pow.f64 v 3) (/.f64 e (+.f64 e 1))) (*.f64 e (+.f64 (/.f64 v (+.f64 e 1)) (*.f64 1/120 (/.f64 (pow.f64 v 5) (+.f64 e 1))))))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 v 7) e) (+.f64 1 e))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))))
(fma.f64 -1/5040 (/.f64 (*.f64 e (pow.f64 v 7)) (+.f64 e 1)) (fma.f64 -1/6 (/.f64 (*.f64 e (pow.f64 v 3)) (+.f64 e 1)) (fma.f64 1/120 (/.f64 (*.f64 e (pow.f64 v 5)) (+.f64 e 1)) (/.f64 v (/.f64 (+.f64 e 1) e)))))
(fma.f64 -1/5040 (/.f64 e (/.f64 (+.f64 e 1) (pow.f64 v 7))) (fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 v 3) (+.f64 e 1)) e) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 v 5) (+.f64 e 1)) e) (/.f64 (*.f64 v e) (+.f64 e 1)))))
(fma.f64 -1/6 (/.f64 e (/.f64 (+.f64 e 1) (pow.f64 v 3))) (fma.f64 -1/5040 (*.f64 e (/.f64 (pow.f64 v 7) (+.f64 e 1))) (fma.f64 1/120 (*.f64 e (/.f64 (pow.f64 v 5) (+.f64 e 1))) (*.f64 (/.f64 e (+.f64 e 1)) v))))
(fma.f64 e (/.f64 v (+.f64 e 1)) (fma.f64 -1/6 (*.f64 (pow.f64 v 3) (/.f64 e (+.f64 e 1))) (*.f64 e (+.f64 (*.f64 1/120 (/.f64 (pow.f64 v 5) (+.f64 e 1))) (*.f64 -1/5040 (/.f64 (pow.f64 v 7) (+.f64 e 1)))))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e 1)))

localize40.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 v)
✓0.1b
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
✓0.2b
(/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e)
✓1.1b
(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e) -1)
Compiler

Compiled 45 to 21 computations (53.3% saved)

series30.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
10.0ms
v
@0
(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e) -1)
2.0ms
v
@inf
(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e) -1)
2.0ms
v
@-inf
(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e) -1)
1.0ms
e
@inf
(/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e)
1.0ms
v
@0
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))

rewrite132.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
556×log-prod_binary64
432×exp-prod_binary64
333×pow-prod-down_binary64
293×pow2_binary64
204×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01145
122642
2294242
Stop Event
1×node limit
Counts
3 → 163
Calls
Call 1
Inputs
(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e) -1)
(/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e)
(/.f64 (fma.f64 e (cos.f64 v) 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 (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 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)))) (#(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 (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 (/.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 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) -2) (/.f64 e (cbrt.f64 (/.f64 (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) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 2)) (/.f64 (cbrt.f64 e) (cbrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 e) 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*.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 1 (/.f64 (neg.f64 (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))) (neg.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v)))) -2) (cbrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 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 1 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 e) 2) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) (cbrt.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 e) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) (sqrt.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 e) (/.f64 (neg.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)) (/.f64 1 e))))) (#(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 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 e (sqrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) (sqrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 e 1) (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (/.f64 1 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 e (pow.f64 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(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 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 (*.f64 2 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))) -1/2))))) (#(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))))) 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simplify108.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
831×fma-def_binary64
548×times-frac_binary64
446×distribute-rgt-in_binary64
433×distribute-lft-in_binary64
399×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01612236
15022078
219711892
Stop Event
1×node limit
Counts
235 → 216
Calls
Call 1
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 (*.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) (*.f64 (pow.f64 v 3) (pow.f64 e 2))) (pow.f64 (+.f64 1 e) 2)) (/.f64 (*.f64 v e) (+.f64 1 e)))
(+.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) (*.f64 (pow.f64 v 3) (pow.f64 e 2))) (pow.f64 (+.f64 1 e) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 5) (+.f64 (/.f64 (*.f64 (-.f64 1/24 (+.f64 (*.f64 1/6 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e)))) (*.f64 1/120 (/.f64 (+.f64 1 e) e)))) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2) (pow.f64 e 3)) (pow.f64 (+.f64 1 e) 3)))))) (/.f64 (*.f64 v e) (+.f64 1 e))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 7) (+.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 1/24 (+.f64 (*.f64 1/6 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e)))) (*.f64 1/120 (/.f64 (+.f64 1 e) e)))) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2) (pow.f64 e 3)) (pow.f64 (+.f64 1 e) 3)))) e)) (+.f64 1 e)) (+.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) (*.f64 (-.f64 1/24 (+.f64 (*.f64 1/6 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e)))) (*.f64 1/120 (/.f64 (+.f64 1 e) e)))) (pow.f64 e 3))) (pow.f64 (+.f64 1 e) 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1/720 (+.f64 (*.f64 -1/6 (-.f64 1/24 (+.f64 (*.f64 1/6 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e)))) (*.f64 1/120 (/.f64 (+.f64 1 e) e))))) (+.f64 (*.f64 -1/120 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e)))) (*.f64 -1/5040 (/.f64 (+.f64 1 e) e))))) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2))))))) (+.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) (*.f64 (pow.f64 v 3) (pow.f64 e 2))) (pow.f64 (+.f64 1 e) 2)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 5) (+.f64 (/.f64 (*.f64 (-.f64 1/24 (+.f64 (*.f64 1/6 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e)))) (*.f64 1/120 (/.f64 (+.f64 1 e) e)))) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) 2) (pow.f64 e 3)) (pow.f64 (+.f64 1 e) 3)))))) (/.f64 (*.f64 v 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 1 (*.f64 (sin.f64 v) e))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(/.f64 (cos.f64 v) (sin.f64 v))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(/.f64 (cos.f64 v) (sin.f64 v))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(+.f64 (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 1 (*.f64 (sin.f64 v) e)))
(/.f64 (+.f64 1 e) (*.f64 v e))
(+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (*.f64 v e)) (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) v))))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 1/24 (+.f64 (*.f64 1/6 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e)))) (*.f64 1/120 (/.f64 (+.f64 1 e) e))))) (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (*.f64 v e)) (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)))))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 1/24 (+.f64 (*.f64 1/6 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e)))) (*.f64 1/120 (/.f64 (+.f64 1 e) e))))) (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (*.f64 v e)) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e))) v)) (*.f64 -1 (*.f64 (+.f64 1/720 (+.f64 (*.f64 -1/6 (-.f64 1/24 (+.f64 (*.f64 1/6 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e)))) (*.f64 1/120 (/.f64 (+.f64 1 e) e))))) (+.f64 (*.f64 -1/120 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 1 e) e)))) (*.f64 -1/5040 (/.f64 (+.f64 1 e) e))))) (pow.f64 v 5)))))))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))
(/.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)))
(/.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))
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)))))
(fma.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (*.f64 (*.f64 e (*.f64 e (cos.f64 v))) (neg.f64 (sin.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 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.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 (/.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 (/.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 (*.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 (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 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.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)))))
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(fma.f64 (pow.f64 v 3) (-.f64 1/24 (fma.f64 1/6 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 e 1) e))) (*.f64 (/.f64 (+.f64 e 1) e) 1/120))) (+.f64 (/.f64 1 v) (+.f64 (/.f64 1 (*.f64 v e)) (*.f64 -1 (+.f64 (*.f64 v (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 e 1) e)))) (*.f64 (pow.f64 v 5) (+.f64 1/720 (fma.f64 -1/6 (-.f64 1/24 (fma.f64 1/6 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 e 1) e))) (*.f64 (/.f64 (+.f64 e 1) e) 1/120))) (fma.f64 -1/120 (+.f64 1/2 (*.f64 -1/6 (/.f64 (+.f64 e 1) e))) (/.f64 (+.f64 -1/5040 (*.f64 e -1/5040)) e))))))))))
(+.f64 (fma.f64 -1 (fma.f64 v (fma.f64 -1/6 (/.f64 (+.f64 e 1) e) 1/2) (*.f64 (pow.f64 v 5) (+.f64 1/720 (fma.f64 -1/6 (+.f64 (-.f64 -1/24 (*.f64 (/.f64 (+.f64 e 1) e) -1/36)) (*.f64 -1/120 (/.f64 (+.f64 e 1) e))) (fma.f64 (/.f64 (+.f64 e 1) e) -1/5040 (+.f64 -1/240 (*.f64 (/.f64 (+.f64 e 1) e) 1/720))))))) (/.f64 1 (*.f64 v e))) (fma.f64 (pow.f64 v 3) (+.f64 (-.f64 -1/24 (*.f64 (/.f64 (+.f64 e 1) e) -1/36)) (*.f64 -1/120 (/.f64 (+.f64 e 1) e))) (/.f64 1 v)))
(+.f64 (fma.f64 (pow.f64 v 5) (fma.f64 -1 (fma.f64 -1/6 (-.f64 1/24 (+.f64 1/12 (*.f64 (/.f64 (+.f64 e 1) e) -7/360))) (+.f64 -1/240 (*.f64 (/.f64 (+.f64 e 1) e) 1/840))) -1/720) (fma.f64 v (+.f64 -1/2 (/.f64 (fma.f64 e 1/6 1/6) e)) (/.f64 (/.f64 1 v) e))) (fma.f64 (pow.f64 v 3) (-.f64 1/24 (+.f64 1/12 (*.f64 (/.f64 (+.f64 e 1) e) -7/360))) (/.f64 1 v)))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (*.f64 (sin.f64 v) e))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (*.f64 (sin.f64 v) e))
(/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 (sin.f64 v) e))
(/.f64 1 (sin.f64 v))
(+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (/.f64 1 (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 (*.f64 (cos.f64 v) e) (sin.f64 v)) (/.f64 1 (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 (*.f64 (cos.f64 v) e) (sin.f64 v)) (/.f64 1 (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)))
(/.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)))
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v)))
(fma.f64 (+.f64 (*.f64 e -1/2) (*.f64 1/6 (+.f64 e 1))) v (+.f64 (/.f64 1 v) (/.f64 e v)))
(fma.f64 v (fma.f64 e -1/2 (+.f64 1/6 (*.f64 e 1/6))) (+.f64 (/.f64 1 v) (/.f64 e v)))
(fma.f64 v (fma.f64 e -1/2 (fma.f64 e 1/6 1/6)) (+.f64 (/.f64 1 v) (/.f64 e 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))))))))
(fma.f64 (+.f64 (*.f64 e -1/2) (*.f64 1/6 (+.f64 e 1))) v (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (*.f64 (pow.f64 v 3) (-.f64 (*.f64 e 1/24) (fma.f64 -1/6 (+.f64 (*.f64 e -1/2) (*.f64 1/6 (+.f64 e 1))) (+.f64 1/120 (*.f64 e 1/120))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (-.f64 (*.f64 e 1/24) (fma.f64 -1/6 (fma.f64 e -1/2 (+.f64 1/6 (*.f64 e 1/6))) (+.f64 1/120 (*.f64 e 1/120)))) (/.f64 1 v)) (fma.f64 v (fma.f64 e -1/2 (+.f64 1/6 (*.f64 e 1/6))) (/.f64 e v)))
(+.f64 (fma.f64 (pow.f64 v 3) (-.f64 (*.f64 e 1/24) (fma.f64 -1/6 (fma.f64 e -1/2 (fma.f64 e 1/6 1/6)) (fma.f64 e 1/120 1/120))) (/.f64 1 v)) (fma.f64 v (fma.f64 e -1/2 (fma.f64 e 1/6 1/6)) (/.f64 e v)))
(+.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)))))))))
(fma.f64 (+.f64 (*.f64 e -1/2) (*.f64 1/6 (+.f64 e 1))) v (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (fma.f64 (pow.f64 v 5) (-.f64 (*.f64 e -1/720) (fma.f64 -1/5040 (+.f64 e 1) (fma.f64 -1/6 (-.f64 (*.f64 e 1/24) (fma.f64 -1/6 (+.f64 (*.f64 e -1/2) (*.f64 1/6 (+.f64 e 1))) (+.f64 1/120 (*.f64 e 1/120)))) (*.f64 1/120 (+.f64 (*.f64 e -1/2) (*.f64 1/6 (+.f64 e 1))))))) (*.f64 (pow.f64 v 3) (-.f64 (*.f64 e 1/24) (fma.f64 -1/6 (+.f64 (*.f64 e -1/2) (*.f64 1/6 (+.f64 e 1))) (+.f64 1/120 (*.f64 e 1/120)))))))))
(+.f64 (fma.f64 v (fma.f64 e -1/2 (+.f64 1/6 (*.f64 e 1/6))) (+.f64 (/.f64 1 v) (/.f64 e v))) (fma.f64 (pow.f64 v 5) (-.f64 (*.f64 e -1/720) (fma.f64 (+.f64 e 1) -1/5040 (fma.f64 -1/6 (-.f64 (*.f64 e 1/24) (fma.f64 -1/6 (fma.f64 e -1/2 (+.f64 1/6 (*.f64 e 1/6))) (+.f64 1/120 (*.f64 e 1/120)))) (*.f64 1/120 (fma.f64 e -1/2 (+.f64 1/6 (*.f64 e 1/6))))))) (*.f64 (pow.f64 v 3) (-.f64 (*.f64 e 1/24) (fma.f64 -1/6 (fma.f64 e -1/2 (+.f64 1/6 (*.f64 e 1/6))) (+.f64 1/120 (*.f64 e 1/120)))))))
(+.f64 (fma.f64 (pow.f64 v 3) (-.f64 (*.f64 e 1/24) (fma.f64 -1/6 (fma.f64 e -1/2 (fma.f64 e 1/6 1/6)) (fma.f64 e 1/120 1/120))) (fma.f64 (pow.f64 v 5) (-.f64 (*.f64 e -1/720) (fma.f64 -1/6 (-.f64 (*.f64 e 1/24) (fma.f64 -1/6 (fma.f64 e -1/2 (fma.f64 e 1/6 1/6)) (fma.f64 e 1/120 1/120))) (fma.f64 1/120 (fma.f64 e -1/2 (fma.f64 e 1/6 1/6)) (fma.f64 e -1/5040 -1/5040)))) (/.f64 1 v))) (fma.f64 v (fma.f64 e -1/2 (fma.f64 e 1/6 1/6)) (/.f64 e v)))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))

localize45.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3)))
0.2b
(*.f64 e (cos.f64 v))
✓0.4b
(pow.f64 (sin.f64 v) 3)
✓17.4b
(cbrt.f64 (pow.f64 (sin.f64 v) 3))
Compiler

Compiled 50 to 25 computations (50% saved)

series17.0ms (0.2%)

Counts
3 → 40
Calls

12 calls:

TimeVariablePointExpression
8.0ms
v
@-inf
(cbrt.f64 (pow.f64 (sin.f64 v) 3))
1.0ms
v
@-inf
(pow.f64 (sin.f64 v) 3)
1.0ms
v
@inf
(pow.f64 (sin.f64 v) 3)
1.0ms
v
@0
(pow.f64 (sin.f64 v) 3)
1.0ms
v
@0
(*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3)))

rewrite67.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
632×pow1_binary64
590×add-log-exp_binary64
590×log1p-expm1-u_binary64
590×expm1-log1p-u_binary64
575×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
116615
2165315
Stop Event
1×node limit
Counts
3 → 50
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (sin.f64 v) 3))
(pow.f64 (sin.f64 v) 3)
(*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3)))
Outputs
((#(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 (cbrt.f64 (sin.f64 v)) (pow.f64 (pow.f64 (sin.f64 v) 2) 1/3))))) (#(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 *.f64 (pow.f64 (pow.f64 (sin.f64 v) 2) 1/3) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 v) 3/2) 1/3) (pow.f64 (pow.f64 (sin.f64 v) 3/2) 1/3))))) (#(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 log.f64 (exp.f64 (sin.f64 v)))))) (#(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 (pow.f64 (sin.f64 v) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) (pow.f64 (sin.f64 v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 v) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 v) 2) (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)) (pow.f64 (sin.f64 v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 v)) (*.f64 (sqrt.f64 (sin.f64 v)) (pow.f64 (sin.f64 v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 v) 3/2) (pow.f64 (sin.f64 v) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) 3) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 v)) 3) (pow.f64 (sqrt.f64 (sin.f64 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 v) 2) 1) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cbrt.f64 (sin.f64 v)) 2)) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 v) 2) (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 v) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 v) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (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)))))))

simplify136.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1503×fma-def_binary64
748×sqr-pow_binary64
514×cube-prod_binary64
400×unswap-sqr_binary64
379×fabs-mul_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049330
1131322
2345310
3986306
42255306
52489306
62762306
73355306
83484306
93667306
104614306
115011306
125610306
136423306
147446306
Stop Event
1×node limit
Counts
90 → 72
Calls
Call 1
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)
(pow.f64 v 3)
(+.f64 (*.f64 -1/2 (pow.f64 v 5)) (pow.f64 v 3))
(+.f64 (*.f64 -1/2 (pow.f64 v 5)) (+.f64 (*.f64 13/120 (pow.f64 v 7)) (pow.f64 v 3)))
(+.f64 (*.f64 -1/2 (pow.f64 v 5)) (+.f64 (*.f64 -41/3024 (pow.f64 v 9)) (+.f64 (*.f64 13/120 (pow.f64 v 7)) (pow.f64 v 3))))
(*.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)
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) (+.f64 v (fma.f64 -1/5040 (pow.f64 v 7) (*.f64 1/120 (pow.f64 v 5)))))
(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)
(pow.f64 v 3)
(+.f64 (*.f64 -1/2 (pow.f64 v 5)) (pow.f64 v 3))
(fma.f64 -1/2 (pow.f64 v 5) (pow.f64 v 3))
(fma.f64 (pow.f64 v 5) -1/2 (pow.f64 v 3))
(+.f64 (*.f64 -1/2 (pow.f64 v 5)) (+.f64 (*.f64 13/120 (pow.f64 v 7)) (pow.f64 v 3)))
(fma.f64 -1/2 (pow.f64 v 5) (fma.f64 13/120 (pow.f64 v 7) (pow.f64 v 3)))
(fma.f64 (pow.f64 v 5) -1/2 (fma.f64 (pow.f64 v 7) 13/120 (pow.f64 v 3)))
(+.f64 (*.f64 -1/2 (pow.f64 v 5)) (+.f64 (*.f64 -41/3024 (pow.f64 v 9)) (+.f64 (*.f64 13/120 (pow.f64 v 7)) (pow.f64 v 3))))
(fma.f64 -1/2 (pow.f64 v 5) (fma.f64 -41/3024 (pow.f64 v 9) (fma.f64 13/120 (pow.f64 v 7) (pow.f64 v 3))))
(fma.f64 (pow.f64 v 5) -1/2 (fma.f64 -41/3024 (pow.f64 v 9) (fma.f64 (pow.f64 v 7) 13/120 (pow.f64 v 3))))
(fma.f64 (pow.f64 v 5) -1/2 (fma.f64 (pow.f64 v 7) 13/120 (fma.f64 -41/3024 (pow.f64 v 9) (pow.f64 v 3))))
(fma.f64 (pow.f64 v 7) 13/120 (fma.f64 -41/3024 (pow.f64 v 9) (fma.f64 (pow.f64 v 5) -1/2 (pow.f64 v 3))))
(*.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 1/120 (*.f64 (pow.f64 v 5) e)))
(*.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 (fma.f64 -1/6 (pow.f64 v 3) (+.f64 v (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)

eval260.0ms (2.7%)

Compiler

Compiled 13904 to 7953 computations (42.8% saved)

prune138.0ms (1.4%)

Pruning

33 alts after pruning (30 fresh and 3 done)

PrunedKeptTotal
New70928737
Fresh9211
Picked101
Done235
Total72133754
Error
0b
Counts
754 → 33
Alt Table
Click to see full alt table
StatusErrorProgram
0.8b
(*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))
0.9b
(*.f64 e (/.f64 1 (/.f64 (+.f64 e 1) (sin.f64 v))))
2.4b
(pow.f64 (/.f64 (/.f64 1 (sin.f64 v)) e) -1)
14.7b
(/.f64 (*.f64 e (-.f64 (+.f64 1 (sin.f64 v)) 1)) (+.f64 1 e))
14.7b
(/.f64 (*.f64 e (log.f64 (exp.f64 (sin.f64 v)))) (+.f64 1 e))
62.8b
(-.f64 v (/.f64 v e))
6.9b
(/.f64 (*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3))) (+.f64 1 e))
26.9b
(pow.f64 (sqrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) 2)
61.2b
v
✓0.2b
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
14.7b
(pow.f64 (/.f64 (log1p.f64 (expm1.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) e) -1)
▶2.3b
(pow.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) -1)
▶47.4b
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
0.9b
(/.f64 (*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v)))) (+.f64 1 e))
34.7b
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v)))
33.8b
(/.f64 e (/.f64 (+.f64 e 1) v))
0.6b
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
0.3b
(/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) (/.f64 1 e))
1.3b
(*.f64 (sin.f64 v) e)
47.5b
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
6.7b
(pow.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) 3)) e) -1)
33.7b
(/.f64 (*.f64 v e) (+.f64 1 e))
0.4b
(/.f64 (sqrt.f64 e) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) (sqrt.f64 e)))
▶0.3b
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (/.f64 1 (sin.f64 v)))
✓0.8b
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
60.3b
(sin.f64 v)
▶1.7b
(/.f64 (*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 3)) (+.f64 1 e))
34.0b
(*.f64 e (-.f64 v (*.f64 v e)))
▶34.3b
(*.f64 v e)
✓0.2b
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
0.9b
(/.f64 (*.f64 e (expm1.f64 (log1p.f64 (sin.f64 v)))) (+.f64 1 e))
33.7b
(*.f64 (/.f64 e (+.f64 e 1)) v)
6.2b
(*.f64 e (cbrt.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) -3)))
Compiler

Compiled 701 to 505 computations (28% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 v)
✓0.0b
(/.f64 e (fma.f64 e (cos.f64 v) 1))
✓0.1b
(/.f64 1 (sin.f64 v))
✓0.2b
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (/.f64 1 (sin.f64 v)))
Compiler

Compiled 37 to 18 computations (51.4% saved)

series44.0ms (0.5%)

Counts
3 → 52
Calls

15 calls:

TimeVariablePointExpression
35.0ms
v
@0
(/.f64 1 (sin.f64 v))
2.0ms
v
@0
(/.f64 e (fma.f64 e (cos.f64 v) 1))
1.0ms
v
@inf
(/.f64 e (fma.f64 e (cos.f64 v) 1))
1.0ms
v
@-inf
(/.f64 e (fma.f64 e (cos.f64 v) 1))
1.0ms
v
@inf
(/.f64 1 (sin.f64 v))

rewrite77.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
547×log-prod_binary64
431×exp-prod_binary64
339×pow-prod-down_binary64
277×pow2_binary64
194×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01034
121231
2289331
Stop Event
1×node limit
Counts
3 → 150
Calls
Call 1
Inputs
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (/.f64 1 (sin.f64 v)))
(/.f64 1 (sin.f64 v))
(/.f64 e (fma.f64 e (cos.f64 v) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 e (/.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 (pow.f64 (exp.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) 1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) 1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 e (/.f64 (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 1 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (fma.f64 e (cos.f64 v) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 e (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (/.f64 1 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 e) 2) (*.f64 (cbrt.f64 e) (/.f64 1 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (/.f64 (pow.f64 (cbrt.f64 e) 2) (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (cbrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 e) (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (/.f64 (sqrt.f64 e) (cbrt.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 e (sqrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 e) 2) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))) (/.f64 (cbrt.f64 e) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 e (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) e) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 e 3) (pow.f64 (fma.f64 e (cos.f64 v) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) e) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)))) 2)) (cbrt.f64 (log.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))))) (sqrt.f64 (log.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 e (neg.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 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 (fma.f64 e (cos.f64 v) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 e (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 (fma.f64 e (cos.f64 v) 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 e (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) e)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) 1) 1))))))

simplify62.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
794×fma-def_binary64
730×associate-*l*_binary64
715×associate-*r*_binary64
287×associate-/r*_binary64
266×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01491708
14621634
216371598
Stop Event
1×node limit
Counts
202 → 204
Calls
Call 1
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 1 v)
(+.f64 (*.f64 1/6 v) (/.f64 1 v))
(+.f64 (*.f64 7/360 (pow.f64 v 3)) (+.f64 (*.f64 1/6 v) (/.f64 1 v)))
(+.f64 (*.f64 7/360 (pow.f64 v 3)) (+.f64 (*.f64 1/6 v) (+.f64 (*.f64 31/15120 (pow.f64 v 5)) (/.f64 1 v))))
e
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e)
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))) (+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e)))
(/.f64 1 (cos.f64 v))
(-.f64 (/.f64 1 (cos.f64 v)) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (/.f64 1 (cos.f64 v))) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (/.f64 1 (cos.f64 v))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3))) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e))))
(/.f64 1 (cos.f64 v))
(-.f64 (/.f64 1 (cos.f64 v)) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (/.f64 1 (cos.f64 v))) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (/.f64 1 (cos.f64 v))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3))) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e))))
(/.f64 e (+.f64 1 e))
(+.f64 (/.f64 e (+.f64 1 e)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 v 2) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2))))
(+.f64 (/.f64 e (+.f64 1 e)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 v 2) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3))))))))
(+.f64 (/.f64 e (+.f64 1 e)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 v 2) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3)))) e) (+.f64 1 e))) (*.f64 1/48 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3))))))) (*.f64 -1 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3)))))))))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
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) (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 (*.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) (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e)))
(fma.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e) (*.f64 (sin.f64 v) (*.f64 (*.f64 e e) (neg.f64 (cos.f64 v)))))
(*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) (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 (*.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) (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e))))
(+.f64 (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e)) (*.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)))))
(fma.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e) (*.f64 (neg.f64 (sin.f64 v)) (fma.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4) (*.f64 e (*.f64 e (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)))
(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))))
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e
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(fma.f64 -1 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)) (fma.f64 -1 (*.f64 (cos.f64 v) (*.f64 e e)) (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e)))
(-.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e) (*.f64 e (*.f64 e (cos.f64 v)))) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))
(-.f64 (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e) (fma.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4) (*.f64 e (*.f64 e (cos.f64 v)))))
(/.f64 1 (cos.f64 v))
(-.f64 (/.f64 1 (cos.f64 v)) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e)))
(-.f64 (/.f64 1 (cos.f64 v)) (/.f64 1 (*.f64 e (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 1 (cos.f64 v)) (/.f64 -1 (*.f64 e (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 1 (cos.f64 v)) (/.f64 (/.f64 -1 e) (pow.f64 (cos.f64 v) 2)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (/.f64 1 (cos.f64 v))) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e)))
(-.f64 (+.f64 (/.f64 1 (cos.f64 v)) (/.f64 (/.f64 1 (pow.f64 (cos.f64 v) 3)) (*.f64 e e))) (/.f64 1 (*.f64 e (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 1 (cos.f64 v)) (-.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 v) 3)) (*.f64 e e)) (/.f64 1 (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 1 (cos.f64 v)) (+.f64 (/.f64 (/.f64 -1 e) (pow.f64 (cos.f64 v) 2)) (/.f64 1 (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (/.f64 1 (cos.f64 v))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3))) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e))))
(+.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 v) 3)) (*.f64 e e)) (-.f64 (/.f64 1 (cos.f64 v)) (+.f64 (/.f64 1 (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 1 (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))))
(+.f64 (/.f64 1 (cos.f64 v)) (-.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 v) 3)) (*.f64 e e)) (+.f64 (/.f64 1 (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 1 (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))))
(+.f64 (/.f64 1 (cos.f64 v)) (+.f64 (/.f64 1 (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (-.f64 (/.f64 (/.f64 -1 e) (pow.f64 (cos.f64 v) 2)) (/.f64 (/.f64 1 (pow.f64 e 3)) (pow.f64 (cos.f64 v) 4)))))
(/.f64 1 (cos.f64 v))
(-.f64 (/.f64 1 (cos.f64 v)) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e)))
(-.f64 (/.f64 1 (cos.f64 v)) (/.f64 1 (*.f64 e (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 1 (cos.f64 v)) (/.f64 -1 (*.f64 e (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 1 (cos.f64 v)) (/.f64 (/.f64 -1 e) (pow.f64 (cos.f64 v) 2)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (/.f64 1 (cos.f64 v))) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e)))
(-.f64 (+.f64 (/.f64 1 (cos.f64 v)) (/.f64 (/.f64 1 (pow.f64 (cos.f64 v) 3)) (*.f64 e e))) (/.f64 1 (*.f64 e (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 1 (cos.f64 v)) (-.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 v) 3)) (*.f64 e e)) (/.f64 1 (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 1 (cos.f64 v)) (+.f64 (/.f64 (/.f64 -1 e) (pow.f64 (cos.f64 v) 2)) (/.f64 1 (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (/.f64 1 (cos.f64 v))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3))) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e))))
(+.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 v) 3)) (*.f64 e e)) (-.f64 (/.f64 1 (cos.f64 v)) (+.f64 (/.f64 1 (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 1 (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))))
(+.f64 (/.f64 1 (cos.f64 v)) (-.f64 (/.f64 (/.f64 1 (pow.f64 (cos.f64 v) 3)) (*.f64 e e)) (+.f64 (/.f64 1 (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 1 (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))))
(+.f64 (/.f64 1 (cos.f64 v)) (+.f64 (/.f64 1 (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (-.f64 (/.f64 (/.f64 -1 e) (pow.f64 (cos.f64 v) 2)) (/.f64 (/.f64 1 (pow.f64 e 3)) (pow.f64 (cos.f64 v) 4)))))
(/.f64 e (+.f64 1 e))
(/.f64 e (+.f64 e 1))
(+.f64 (/.f64 e (+.f64 1 e)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 v 2) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2))))
(+.f64 (/.f64 e (+.f64 e 1)) (*.f64 1/2 (/.f64 (*.f64 (*.f64 e e) (*.f64 v v)) (pow.f64 (+.f64 e 1) 2))))
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 e e) (*.f64 v v)) (pow.f64 (+.f64 e 1) 2)) (/.f64 e (+.f64 e 1)))
(+.f64 (/.f64 e (+.f64 1 e)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 v 2) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3))))))))
(+.f64 (/.f64 e (+.f64 e 1)) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 e e) (*.f64 v v)) (pow.f64 (+.f64 e 1) 2)) (neg.f64 (*.f64 (pow.f64 v 4) (fma.f64 1/24 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) (*.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3))))))))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 (*.f64 e e) (*.f64 v v)) (pow.f64 (+.f64 e 1) 2)) (/.f64 e (+.f64 e 1))) (*.f64 (pow.f64 v 4) (fma.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/24 (/.f64 (*.f64 (pow.f64 e 3) -1/4) (pow.f64 (+.f64 e 1) 3)))))
(fma.f64 (pow.f64 v 4) (neg.f64 (fma.f64 -1/4 (pow.f64 (/.f64 e (+.f64 e 1)) 3) (/.f64 (*.f64 e (*.f64 e 1/24)) (pow.f64 (+.f64 e 1) 2)))) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 e e) (*.f64 v v)) (pow.f64 (+.f64 e 1) 2)) (/.f64 e (+.f64 e 1))))
(+.f64 (/.f64 e (+.f64 1 e)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 v 2) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3)))) e) (+.f64 1 e))) (*.f64 1/48 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3))))))) (*.f64 -1 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3)))))))))
(+.f64 (/.f64 e (+.f64 e 1)) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 e e) (*.f64 v v)) (pow.f64 (+.f64 e 1) 2)) (*.f64 -1 (+.f64 (*.f64 (pow.f64 v 6) (fma.f64 -1/720 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) (fma.f64 1/2 (/.f64 (fma.f64 1/24 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) (*.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3)))) (/.f64 (+.f64 e 1) e)) (/.f64 (*.f64 1/48 (pow.f64 e 3)) (pow.f64 (+.f64 e 1) 3))))) (*.f64 (pow.f64 v 4) (fma.f64 1/24 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) (*.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3)))))))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 (*.f64 e e) (*.f64 v v)) (pow.f64 (+.f64 e 1) 2)) (/.f64 e (+.f64 e 1))) (neg.f64 (fma.f64 (pow.f64 v 6) (fma.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) -1/720 (fma.f64 1/2 (/.f64 (fma.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/24 (/.f64 (*.f64 (pow.f64 e 3) -1/4) (pow.f64 (+.f64 e 1) 3))) (/.f64 (+.f64 e 1) e)) (/.f64 (*.f64 (pow.f64 e 3) 1/48) (pow.f64 (+.f64 e 1) 3)))) (*.f64 (pow.f64 v 4) (fma.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/24 (/.f64 (*.f64 (pow.f64 e 3) -1/4) (pow.f64 (+.f64 e 1) 3)))))))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 (*.f64 e e) (*.f64 v v)) (pow.f64 (+.f64 e 1) 2)) (/.f64 e (+.f64 e 1))) (fma.f64 (pow.f64 v 6) (fma.f64 (pow.f64 (/.f64 e (+.f64 e 1)) 3) 1/48 (fma.f64 1/2 (*.f64 (/.f64 e (+.f64 e 1)) (fma.f64 -1/4 (pow.f64 (/.f64 e (+.f64 e 1)) 3) (/.f64 (*.f64 e (*.f64 e 1/24)) (pow.f64 (+.f64 e 1) 2)))) (*.f64 (/.f64 -1/720 (pow.f64 (+.f64 e 1) 2)) (*.f64 e e)))) (*.f64 (pow.f64 v 4) (fma.f64 -1/4 (pow.f64 (/.f64 e (+.f64 e 1)) 3) (/.f64 (*.f64 e (*.f64 e 1/24)) (pow.f64 (+.f64 e 1) 2))))))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 e (fma.f64 e (cos.f64 v) 1))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 e (fma.f64 e (cos.f64 v) 1))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 e (fma.f64 e (cos.f64 v) 1))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 e (fma.f64 e (cos.f64 v) 1))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 e (fma.f64 e (cos.f64 v) 1))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 e (fma.f64 e (cos.f64 v) 1))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 e (fma.f64 e (cos.f64 v) 1))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 e (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 e (fma.f64 e (cos.f64 v) 1))

localize41.0ms (0.4%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
0.0b
(/.f64 v (+.f64 e 1))
✓4.0b
(-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1)
Compiler

Compiled 40 to 28 computations (30% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
v
@0
(-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1)
0.0ms
e
@0
(-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1)
0.0ms
e
@inf
(-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1)
0.0ms
v
@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))

rewrite159.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
545×prod-diff_binary64
487×fma-def_binary64
459×log-prod_binary64
250×pow2_binary64
236×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0929
120917
2318617
Stop Event
1×node limit
Counts
2 → 151
Calls
Call 1
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 (+.f64 1 e)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 e)) v)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 v (+.f64 1 e))))) (/.f64 1 (+.f64 (/.f64 v (+.f64 1 e)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) 1) (/.f64 (cbrt.f64 v) (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 v) 1) (/.f64 (sqrt.f64 v) (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 e)) -2) (/.f64 v (cbrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (pow.f64 (cbrt.f64 (+.f64 1 e)) 2)) (cbrt.f64 (/.f64 v (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 v) (pow.f64 (cbrt.f64 (+.f64 1 e)) 2)) (/.f64 (sqrt.f64 v) (cbrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 e) -1/2) (/.f64 v (hypot.f64 1 (sqrt.f64 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simplify63.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
503×sub-neg_binary64
481×distribute-rgt-neg-in_binary64
456×fma-neg_binary64
399×distribute-lft-neg-in_binary64
340×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054582
1156556
2430539
31541496
45607496
Stop Event
1×node limit
Counts
199 → 180
Calls
Call 1
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)))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 v)
✓0.1b
(*.f64 (sin.f64 v) e)
✓0.2b
(/.f64 1 (*.f64 (sin.f64 v) e))
✓1.1b
(pow.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) -1)
Compiler

Compiled 26 to 12 computations (53.8% saved)

series9.0ms (0.1%)

Counts
3 → 32
Calls

18 calls:

TimeVariablePointExpression
1.0ms
v
@0
(pow.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) -1)
1.0ms
v
@-inf
(pow.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) -1)
1.0ms
v
@inf
(pow.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) -1)
1.0ms
e
@-inf
(pow.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) -1)
1.0ms
e
@0
(pow.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) -1)

rewrite72.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
714×pow1_binary64
662×add-log-exp_binary64
660×log1p-expm1-u_binary64
660×expm1-log1p-u_binary64
646×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0933
117921
2206921
Stop Event
1×node limit
Counts
3 → 86
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) -1)
(/.f64 1 (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) e)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 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 -1 (*.f64 (sin.f64 v) (neg.f64 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 (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 (sin.f64 v)) (*.f64 (sqrt.f64 (sin.f64 v)) e))))) (#(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 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (sin.f64 v) e))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) -1/2) -1) (pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (sin.f64 v))) e)))) (#(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 1 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 v) (/.f64 1 e))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 e (/.f64 1 (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 -1 (neg.f64 (/.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 1 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 v) (neg.f64 e)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) (pow.f64 (*.f64 (sin.f64 v) e) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) -2))) (cbrt.f64 (/.f64 1 (*.f64 (sin.f64 v) e))))))) (#(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 cbrt.f64 (*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 e 3) (pow.f64 (sin.f64 v) 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 (+.f64 1 (/.f64 1 (*.f64 (sin.f64 v) e))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.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 -1 (/.f64 1 (*.f64 (sin.f64 v) (neg.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 (sin.f64 v) e))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) -2)) (cbrt.f64 (/.f64 1 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 v) e) -1/2) (pow.f64 (*.f64 (sin.f64 v) e) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 v)) (pow.f64 e -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 v)) (/.f64 1 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 e -1) (/.f64 1 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) -1) (pow.f64 (sqrt.f64 (*.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 (/.f64 1 (*.f64 (sin.f64 v) e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (sin.f64 v) e))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) -1/2) 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 (exp.f64 (/.f64 1 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.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 1 (/.f64 1 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 v) (/.f64 1 e))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 e (/.f64 1 (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 -1 (neg.f64 (/.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 1 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 v) (neg.f64 e)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) (pow.f64 (*.f64 (sin.f64 v) e) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) -2))) (cbrt.f64 (/.f64 1 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 v) e) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.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 (pow.f64 (*.f64 (sin.f64 v) e) -2) -1/2)))) (#(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 cbrt.f64 (*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 e 3) (pow.f64 (sin.f64 v) 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)))))))

simplify48.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
614×associate-+l+_binary64
503×fma-neg_binary64
444×associate-+r+_binary64
400×fma-def_binary64
396×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063391
1193373
2641333
32533323
Stop Event
1×node limit
Counts
118 → 83
Calls
Call 1
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 v e) (*.f64 -1 (*.f64 (pow.f64 v 5) (+.f64 (*.f64 7/360 e) (*.f64 -1/36 e))))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 7) (+.f64 (*.f64 -7/2160 e) (+.f64 (*.f64 31/15120 e) (*.f64 -1/6 (+.f64 (*.f64 7/360 e) (*.f64 -1/36 e))))))) (+.f64 (*.f64 v e) (*.f64 -1 (*.f64 (pow.f64 v 5) (+.f64 (*.f64 7/360 e) (*.f64 -1/36 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 1 (*.f64 v e))
(+.f64 (*.f64 1/6 (/.f64 v e)) (/.f64 1 (*.f64 v e)))
(+.f64 (*.f64 1/6 (/.f64 v e)) (+.f64 (/.f64 1 (*.f64 v e)) (*.f64 7/360 (/.f64 (pow.f64 v 3) e))))
(+.f64 (*.f64 1/6 (/.f64 v e)) (+.f64 (/.f64 1 (*.f64 v e)) (+.f64 (*.f64 31/15120 (/.f64 (pow.f64 v 5) e)) (*.f64 7/360 (/.f64 (pow.f64 v 3) 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 (*.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 v e) (*.f64 -1 (*.f64 (pow.f64 v 5) (+.f64 (*.f64 7/360 e) (*.f64 -1/36 e))))))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 v e (neg.f64 (*.f64 (pow.f64 v 5) (*.f64 e -1/120)))))
(-.f64 (*.f64 e (+.f64 (*.f64 -1/6 (pow.f64 v 3)) v)) (*.f64 e (*.f64 -1/120 (pow.f64 v 5))))
(*.f64 e (-.f64 (fma.f64 -1/6 (pow.f64 v 3) v) (*.f64 (pow.f64 v 5) -1/120)))
(*.f64 e (+.f64 v (fma.f64 -1/6 (pow.f64 v 3) (*.f64 (pow.f64 v 5) 1/120))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 7) (+.f64 (*.f64 -7/2160 e) (+.f64 (*.f64 31/15120 e) (*.f64 -1/6 (+.f64 (*.f64 7/360 e) (*.f64 -1/36 e))))))) (+.f64 (*.f64 v e) (*.f64 -1 (*.f64 (pow.f64 v 5) (+.f64 (*.f64 7/360 e) (*.f64 -1/36 e)))))))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 -1 (*.f64 (pow.f64 v 7) (fma.f64 -7/2160 e (fma.f64 31/15120 e (*.f64 -1/6 (*.f64 e -1/120))))) (fma.f64 v e (neg.f64 (*.f64 (pow.f64 v 5) (*.f64 e -1/120))))))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (-.f64 (-.f64 (*.f64 v e) (*.f64 e (*.f64 -1/120 (pow.f64 v 5)))) (*.f64 (pow.f64 v 7) (+.f64 (*.f64 e 1/720) (*.f64 e -1/840)))))
(-.f64 (*.f64 e (-.f64 (fma.f64 -1/6 (pow.f64 v 3) v) (*.f64 (pow.f64 v 5) -1/120))) (*.f64 (pow.f64 v 7) (*.f64 e 1/5040)))
(*.f64 e (+.f64 (fma.f64 (pow.f64 v 7) -1/5040 v) (fma.f64 -1/6 (pow.f64 v 3) (*.f64 (pow.f64 v 5) 1/120))))
(*.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 1 (*.f64 v e))
(+.f64 (*.f64 1/6 (/.f64 v e)) (/.f64 1 (*.f64 v e)))
(fma.f64 1/6 (/.f64 v e) (/.f64 1 (*.f64 v e)))
(+.f64 (*.f64 1/6 (/.f64 v e)) (+.f64 (/.f64 1 (*.f64 v e)) (*.f64 7/360 (/.f64 (pow.f64 v 3) e))))
(fma.f64 1/6 (/.f64 v e) (+.f64 (/.f64 1 (*.f64 v e)) (*.f64 7/360 (/.f64 (pow.f64 v 3) e))))
(fma.f64 1/6 (/.f64 v e) (fma.f64 7/360 (/.f64 (pow.f64 v 3) e) (/.f64 1 (*.f64 v e))))
(fma.f64 7/360 (/.f64 (pow.f64 v 3) e) (fma.f64 1/6 (/.f64 v e) (/.f64 1 (*.f64 v e))))
(+.f64 (*.f64 1/6 (/.f64 v e)) (+.f64 (/.f64 1 (*.f64 v e)) (+.f64 (*.f64 31/15120 (/.f64 (pow.f64 v 5) e)) (*.f64 7/360 (/.f64 (pow.f64 v 3) e)))))
(+.f64 (fma.f64 1/6 (/.f64 v e) (/.f64 1 (*.f64 v e))) (fma.f64 31/15120 (/.f64 (pow.f64 v 5) e) (*.f64 7/360 (/.f64 (pow.f64 v 3) e))))
(+.f64 (fma.f64 1/6 (/.f64 v e) (/.f64 1 (*.f64 v e))) (fma.f64 7/360 (/.f64 (pow.f64 v 3) e) (*.f64 31/15120 (/.f64 (pow.f64 v 5) e))))
(fma.f64 1/6 (/.f64 v e) (fma.f64 7/360 (/.f64 (pow.f64 v 3) e) (fma.f64 31/15120 (/.f64 (pow.f64 v 5) e) (/.f64 1 (*.f64 v e)))))
(*.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 v e (neg.f64 (*.f64 (pow.f64 v 5) (*.f64 e -1/120)))))
(-.f64 (*.f64 e (+.f64 (*.f64 -1/6 (pow.f64 v 3)) v)) (*.f64 e (*.f64 -1/120 (pow.f64 v 5))))
(*.f64 e (-.f64 (fma.f64 -1/6 (pow.f64 v 3) v) (*.f64 (pow.f64 v 5) -1/120)))
(*.f64 e (+.f64 v (fma.f64 -1/6 (pow.f64 v 3) (*.f64 (pow.f64 v 5) 1/120))))
(+.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 (*.f64 (pow.f64 v 7) (fma.f64 -7/2160 e (fma.f64 31/15120 e (*.f64 -1/6 (*.f64 e -1/120))))) (fma.f64 v e (neg.f64 (*.f64 (pow.f64 v 5) (*.f64 e -1/120))))))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (-.f64 (-.f64 (*.f64 v e) (*.f64 e (*.f64 -1/120 (pow.f64 v 5)))) (*.f64 (pow.f64 v 7) (+.f64 (*.f64 e 1/720) (*.f64 e -1/840)))))
(-.f64 (*.f64 e (-.f64 (fma.f64 -1/6 (pow.f64 v 3) v) (*.f64 (pow.f64 v 5) -1/120))) (*.f64 (pow.f64 v 7) (*.f64 e 1/5040)))
(*.f64 e (+.f64 (fma.f64 (pow.f64 v 7) -1/5040 v) (fma.f64 -1/6 (pow.f64 v 3) (*.f64 (pow.f64 v 5) 1/120))))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 3)) (+.f64 1 e))
✓0.1b
(*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 3))
✓0.7b
(cbrt.f64 (sin.f64 v))
✓0.7b
(pow.f64 (cbrt.f64 (sin.f64 v)) 3)
Compiler

Compiled 37 to 19 computations (48.6% saved)

series13.0ms (0.1%)

Counts
4 → 64
Calls

18 calls:

TimeVariablePointExpression
3.0ms
v
@inf
(pow.f64 (cbrt.f64 (sin.f64 v)) 3)
2.0ms
v
@-inf
(pow.f64 (cbrt.f64 (sin.f64 v)) 3)
2.0ms
v
@0
(pow.f64 (cbrt.f64 (sin.f64 v)) 3)
1.0ms
e
@0
(*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 3))
1.0ms
e
@inf
(*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 3))

rewrite105.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
514×log-prod_binary64
390×exp-prod_binary64
328×pow-prod-down_binary64
263×pow2_binary64
182×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01126
123726
2284026
Stop Event
1×node limit
Counts
4 → 150
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (sin.f64 v)) 3)
(cbrt.f64 (sin.f64 v))
(*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 3))
(/.f64 (*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 3)) (+.f64 1 e))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (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 (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 (exp.f64 (log1p.f64 (sin.f64 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 v))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 v))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) 1)))) (#(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 1 (sin.f64 v))))) (#(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 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 v))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 v))) (pow.f64 (cbrt.f64 (sin.f64 v)) 2)))))) (#(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 *.f64 (pow.f64 (sin.f64 v) 1/6) (pow.f64 (sin.f64 v) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 v) 5/6) (pow.f64 (sin.f64 v) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) 1) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 v)) (cbrt.f64 (cbrt.f64 (sin.f64 v)))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 v))))))) (#(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 exp.f64 (*.f64 (log.f64 (sin.f64 v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 v) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (sin.f64 v))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 v)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 v)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 v))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 v))) 3/2) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 v)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (sin.f64 v))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (sin.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 v))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 v))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 v) 1/6) (pow.f64 (sin.f64 v) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 v) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (cbrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 v) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 v) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 v))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 v)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 v) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (sin.f64 v)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (sin.f64 v))))) (sqrt.f64 (log.f64 (cbrt.f64 (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 v)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (sin.f64 v))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (sin.f64 v)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (sin.f64 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 v)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 v)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 v))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 v) e))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 v)) e)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 v)) e))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 v)) e))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 v)) e))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (E.f64) (log.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) 2) 1/2)))) (#(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 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 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sin.f64 v) e))) 2)) (cbrt.f64 (log.f64 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sin.f64 v) e)))) (sqrt.f64 (log.f64 (*.f64 (sin.f64 v) e))))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (*.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 exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 v) e)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 v) e))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 v) e))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 v) e)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 e (+.f64 e 1))) (sin.f64 v))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 e (+.f64 e 1))) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 e (+.f64 e 1))) (sin.f64 v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 e (+.f64 e 1))) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) (*.f64 e (/.f64 1 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (/.f64 1 (/.f64 (+.f64 e 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (*.f64 (sin.f64 v) (/.f64 1 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) e) (/.f64 1 (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 e 1) (*.f64 (sin.f64 v) e)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 e 1) (*.f64 (sin.f64 v) e)) -2)) (cbrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) (/.f64 1 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) (sqrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) (/.f64 1 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (/.f64 1 (+.f64 (neg.f64 e) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 e 1)) (*.f64 (sin.f64 v) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 v) 1) (/.f64 e (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e 1) (/.f64 (sin.f64 v) (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 v) (pow.f64 (cbrt.f64 (+.f64 e 1)) 2)) (/.f64 e (cbrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (pow.f64 (cbrt.f64 (+.f64 e 1)) 2)) (/.f64 (sin.f64 v) (cbrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 e 1)) -2) (/.f64 (*.f64 (sin.f64 v) e) (cbrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2) (pow.f64 (cbrt.f64 (+.f64 e 1)) 2)) (cbrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) (pow.f64 (cbrt.f64 (+.f64 e 1)) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) (cbrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 v) (hypot.f64 1 (sqrt.f64 e))) (/.f64 e (hypot.f64 1 (sqrt.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (hypot.f64 1 (sqrt.f64 e))) (/.f64 (sin.f64 v) (hypot.f64 1 (sqrt.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 e 1) -1/2) (/.f64 (*.f64 (sin.f64 v) e) (hypot.f64 1 (sqrt.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2) (hypot.f64 1 (sqrt.f64 e))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) (hypot.f64 1 (sqrt.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (pow.f64 e 3))) (fma.f64 e (-.f64 e 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 1 (*.f64 e e))) (-.f64 1 e))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log.f64 (*.f64 (sin.f64 v) e)) (log1p.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 e 1) (*.f64 (sin.f64 v) e)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 e 1) (*.f64 (sin.f64 v) e)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3) (pow.f64 (+.f64 e 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 e 1) (*.f64 (sin.f64 v) e)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (*.f64 (sin.f64 v) e)) (log1p.f64 e))) 2)) (cbrt.f64 (-.f64 (log.f64 (*.f64 (sin.f64 v) e)) (log1p.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (*.f64 (sin.f64 v) e)) (log1p.f64 e)))) (sqrt.f64 (-.f64 (log.f64 (*.f64 (sin.f64 v) e)) (log1p.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (neg.f64 e) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 e 1) (*.f64 (sin.f64 v) e)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 e (+.f64 e 1))) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3) (pow.f64 (+.f64 e 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (sin.f64 v) e)) (log1p.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 (sin.f64 v) e)) (log1p.f64 e)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (*.f64 (sin.f64 v) e)) (log1p.f64 e))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 (*.f64 (sin.f64 v) e)) (log1p.f64 e))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 (*.f64 (sin.f64 v) e)) (log1p.f64 e))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 e) (log.f64 (*.f64 (sin.f64 v) e))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (*.f64 (sin.f64 v) e)) (log1p.f64 e)) 1) 1))))))

simplify126.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
473×fma-neg_binary64
412×associate-/l*_binary64
344×fma-def_binary64
312×associate-/r*_binary64
296×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
072762
1207710
2569678
32104661
46264659
Stop Event
1×node limit
Counts
214 → 182
Calls
Call 1
Inputs
(*.f64 (sin.f64 v) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) (pow.f64 1 1/3))
(pow.f64 (sin.f64 v) 1/3)
(pow.f64 (sin.f64 v) 1/3)
(pow.f64 (sin.f64 v) 1/3)
(pow.f64 (sin.f64 v) 1/3)
(pow.f64 (sin.f64 v) 1/3)
(pow.f64 (sin.f64 v) 1/3)
(pow.f64 (sin.f64 v) 1/3)
(pow.f64 (sin.f64 v) 1/3)
(*.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) (pow.f64 e 2))) (*.f64 (sin.f64 v) e))
(+.f64 (*.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (*.f64 (sin.f64 v) e)))
(+.f64 (*.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 4))) (*.f64 (sin.f64 v) e))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 3))))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 3))))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e))))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 v 7) e) (+.f64 1 e))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
Outputs
(*.f64 (sin.f64 v) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) 1)
(sin.f64 v)
(*.f64 (sin.f64 v) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) 1)
(sin.f64 v)
(*.f64 (sin.f64 v) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) 1)
(sin.f64 v)
(*.f64 (sin.f64 v) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) 1)
(sin.f64 v)
(*.f64 (sin.f64 v) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) 1)
(sin.f64 v)
(*.f64 (sin.f64 v) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) 1)
(sin.f64 v)
(*.f64 (sin.f64 v) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) 1)
(sin.f64 v)
(*.f64 (sin.f64 v) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) 1)
(sin.f64 v)
(pow.f64 (sin.f64 v) 1/3)
(cbrt.f64 (sin.f64 v))
(pow.f64 (sin.f64 v) 1/3)
(cbrt.f64 (sin.f64 v))
(pow.f64 (sin.f64 v) 1/3)
(cbrt.f64 (sin.f64 v))
(pow.f64 (sin.f64 v) 1/3)
(cbrt.f64 (sin.f64 v))
(pow.f64 (sin.f64 v) 1/3)
(cbrt.f64 (sin.f64 v))
(pow.f64 (sin.f64 v) 1/3)
(cbrt.f64 (sin.f64 v))
(pow.f64 (sin.f64 v) 1/3)
(cbrt.f64 (sin.f64 v))
(pow.f64 (sin.f64 v) 1/3)
(cbrt.f64 (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 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 (*.f64 -1/6 (pow.f64 v 3)) (fma.f64 1/120 (pow.f64 v 5) v)))
(*.f64 e (+.f64 v (fma.f64 -1/6 (pow.f64 v 3) (*.f64 1/120 (pow.f64 v 5)))))
(+.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 (sin.f64 v) e)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (*.f64 (sin.f64 v) e))
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 e e)) (*.f64 (sin.f64 v) e))
(-.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 e e)))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(+.f64 (*.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (*.f64 (sin.f64 v) e)))
(fma.f64 (sin.f64 v) (pow.f64 e 3) (fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 e e)) (*.f64 (sin.f64 v) e)))
(fma.f64 (sin.f64 v) (pow.f64 e 3) (-.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 e e))))
(fma.f64 (sin.f64 v) e (*.f64 (sin.f64 v) (-.f64 (pow.f64 e 3) (*.f64 e e))))
(*.f64 (sin.f64 v) (+.f64 e (*.f64 e (fma.f64 e e (neg.f64 e)))))
(+.f64 (*.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 4))) (*.f64 (sin.f64 v) e))))
(fma.f64 (sin.f64 v) (pow.f64 e 3) (fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 e e)) (fma.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 4)) (*.f64 (sin.f64 v) e))))
(fma.f64 (sin.f64 v) (pow.f64 e 3) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (neg.f64 (sin.f64 v)) (+.f64 (*.f64 e e) (pow.f64 e 4)))))
(fma.f64 (neg.f64 (sin.f64 v)) (fma.f64 e e (pow.f64 e 4)) (*.f64 (sin.f64 v) (+.f64 e (pow.f64 e 3))))
(*.f64 (sin.f64 v) (+.f64 (-.f64 e (pow.f64 e 4)) (*.f64 e (fma.f64 e e (neg.f64 e)))))
(*.f64 (sin.f64 v) (-.f64 (+.f64 e (pow.f64 e 3)) (fma.f64 e e (pow.f64 e 4))))
(sin.f64 v)
(*.f64 (sin.f64 v) 1)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (neg.f64 (/.f64 (sin.f64 v) e)))
(-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (sin.f64 v) (fma.f64 -1 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (*.f64 e e))))
(+.f64 (sin.f64 v) (-.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (/.f64 (sin.f64 v) e)))
(-.f64 (sin.f64 v) (-.f64 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (*.f64 e e))))
(+.f64 (sin.f64 v) (*.f64 (/.f64 (sin.f64 v) e) (+.f64 -1 (/.f64 1 e))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 3))))))
(+.f64 (sin.f64 v) (+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (*.f64 e e))) (neg.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)))))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (/.f64 (sin.f64 v) (pow.f64 e 3))))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) (*.f64 e e))))
(fma.f64 (+.f64 1 (/.f64 -1 e)) (/.f64 (sin.f64 v) (*.f64 e e)) (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)))
(sin.f64 v)
(*.f64 (sin.f64 v) 1)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (neg.f64 (/.f64 (sin.f64 v) e)))
(-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (sin.f64 v) (fma.f64 -1 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (*.f64 e e))))
(+.f64 (sin.f64 v) (-.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (/.f64 (sin.f64 v) e)))
(-.f64 (sin.f64 v) (-.f64 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (*.f64 e e))))
(+.f64 (sin.f64 v) (*.f64 (/.f64 (sin.f64 v) e) (+.f64 -1 (/.f64 1 e))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 3))))))
(+.f64 (sin.f64 v) (+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (*.f64 e e))) (neg.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)))))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (/.f64 (sin.f64 v) (pow.f64 e 3))))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) (*.f64 e e))))
(fma.f64 (+.f64 1 (/.f64 -1 e)) (/.f64 (sin.f64 v) (*.f64 e e)) (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 (/.f64 e (+.f64 1 e)) v)
(*.f64 v (/.f64 e (+.f64 1 e)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))
(fma.f64 -1/6 (/.f64 (pow.f64 v 3) (/.f64 (+.f64 1 e) e)) (/.f64 (*.f64 v e) (+.f64 1 e)))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 v 3) (+.f64 1 e)) e) (/.f64 (*.f64 v e) (+.f64 1 e)))
(fma.f64 -1/6 (*.f64 e (/.f64 (pow.f64 v 3) (+.f64 1 e))) (*.f64 (/.f64 e (+.f64 1 e)) v))
(*.f64 e (+.f64 (/.f64 v (+.f64 1 e)) (*.f64 -1/6 (/.f64 (pow.f64 v 3) (+.f64 1 e)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e))))
(fma.f64 -1/6 (/.f64 (pow.f64 v 3) (/.f64 (+.f64 1 e) e)) (fma.f64 1/120 (/.f64 (pow.f64 v 5) (/.f64 (+.f64 1 e) e)) (/.f64 (*.f64 v e) (+.f64 1 e))))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 v 3) (+.f64 1 e)) e) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 v 5) (+.f64 1 e)) e) (/.f64 (*.f64 v e) (+.f64 1 e))))
(fma.f64 (/.f64 v (+.f64 1 e)) e (fma.f64 1/120 (*.f64 (/.f64 e (+.f64 1 e)) (pow.f64 v 5)) (*.f64 (/.f64 (pow.f64 v 3) (+.f64 1 e)) (*.f64 e -1/6))))
(fma.f64 -1/6 (*.f64 e (/.f64 (pow.f64 v 3) (+.f64 1 e))) (*.f64 e (+.f64 (/.f64 v (+.f64 1 e)) (/.f64 1/120 (/.f64 (+.f64 1 e) (pow.f64 v 5))))))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 v 7) e) (+.f64 1 e))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))))
(fma.f64 -1/5040 (/.f64 (*.f64 e (pow.f64 v 7)) (+.f64 1 e)) (fma.f64 -1/6 (/.f64 (pow.f64 v 3) (/.f64 (+.f64 1 e) e)) (fma.f64 1/120 (/.f64 (pow.f64 v 5) (/.f64 (+.f64 1 e) e)) (/.f64 (*.f64 v e) (+.f64 1 e)))))
(fma.f64 -1/5040 (*.f64 (/.f64 (pow.f64 v 7) (+.f64 1 e)) e) (fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 v 3) (+.f64 1 e)) e) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 v 5) (+.f64 1 e)) e) (/.f64 (*.f64 v e) (+.f64 1 e)))))
(fma.f64 -1/5040 (*.f64 e (/.f64 (pow.f64 v 7) (+.f64 1 e))) (fma.f64 (/.f64 v (+.f64 1 e)) e (fma.f64 1/120 (*.f64 (/.f64 e (+.f64 1 e)) (pow.f64 v 5)) (*.f64 (/.f64 (pow.f64 v 3) (+.f64 1 e)) (*.f64 e -1/6)))))
(fma.f64 -1/6 (*.f64 e (/.f64 (pow.f64 v 3) (+.f64 1 e))) (fma.f64 -1/5040 (*.f64 e (/.f64 (pow.f64 v 7) (+.f64 1 e))) (*.f64 e (+.f64 (/.f64 v (+.f64 1 e)) (/.f64 1/120 (/.f64 (+.f64 1 e) (pow.f64 v 5)))))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 1 e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 1 e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 1 e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 1 e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 1 e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 1 e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 1 e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 1 e)))

eval461.0ms (4.8%)

Compiler

Compiled 12144 to 7317 computations (39.7% saved)

prune146.0ms (1.5%)

Pruning

31 alts after pruning (25 fresh and 6 done)

PrunedKeptTotal
New73013743
Fresh131225
Picked011
Done257
Total74531776
Error
0b
Counts
776 → 31
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.8b
(*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))
2.4b
(pow.f64 (/.f64 (/.f64 1 (sin.f64 v)) e) -1)
14.7b
(/.f64 (*.f64 e (-.f64 (+.f64 1 (sin.f64 v)) 1)) (+.f64 1 e))
61.2b
v
✓0.2b
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
1.3b
(*.f64 (sin.f64 v) e)
▶62.8b
(-.f64 v (/.f64 v e))
✓0.2b
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
1.5b
(/.f64 e (/.f64 1 (sin.f64 v)))
33.7b
(*.f64 (/.f64 e (+.f64 e 1)) v)
14.7b
(pow.f64 (/.f64 (log1p.f64 (expm1.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) e) -1)
✓47.4b
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
▶0.9b
(/.f64 (*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v)))) (+.f64 1 e))
▶34.7b
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v)))
33.8b
(/.f64 e (/.f64 (+.f64 e 1) v))
0.6b
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
1.6b
(*.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))
47.5b
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
14.7b
(/.f64 (*.f64 e (-.f64 (exp.f64 (log1p.f64 (sin.f64 v))) 1)) (+.f64 1 e))
33.7b
(/.f64 (*.f64 v e) (+.f64 1 e))
✓1.7b
(/.f64 (*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 3)) (+.f64 1 e))
34.0b
(*.f64 e (-.f64 v (*.f64 v e)))
60.3b
(sin.f64 v)
✓0.8b
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
6.9b
(/.f64 (*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3))) (+.f64 1 e))
▶0.3b
(/.f64 (/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e))) (/.f64 1 (sin.f64 v)))
✓34.3b
(*.f64 v e)
33.7b
(*.f64 e (/.f64 1 (/.f64 (+.f64 1 e) v)))
1.5b
(/.f64 (sin.f64 v) (/.f64 1 e))
2.4b
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 v) e)))
1.2b
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 v))) 3))
Compiler

Compiled 586 to 422 computations (28% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
0.1b
(/.f64 1 (sin.f64 v))
0.2b
(*.f64 (cos.f64 v) e)
✓0.2b
(/.f64 (/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e))) (/.f64 1 (sin.f64 v)))
Compiler

Compiled 44 to 19 computations (56.8% saved)

series6.0ms (0.1%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
1.0ms
v
@0
(/.f64 (/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e))) (/.f64 1 (sin.f64 v)))
1.0ms
v
@inf
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
1.0ms
v
@0
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
0.0ms
v
@-inf
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
0.0ms
e
@0
(/.f64 (/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e))) (/.f64 1 (sin.f64 v)))

rewrite93.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
629×log-prod_binary64
385×prod-diff_binary64
313×pow2_binary64
277×fma-def_binary64
218×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01132
124125
2344425
Stop Event
1×node limit
Counts
2 → 92
Calls
Call 1
Inputs
(/.f64 (/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e))) (/.f64 1 (sin.f64 v)))
(/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 e (/.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 (pow.f64 (exp.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) 1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) 1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 e (/.f64 (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 (/.f64 1 (fma.f64 e (cos.f64 v) 1)) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(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 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) (pow.f64 (cbrt.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) 2) (cbrt.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) 2) (*.f64 (cbrt.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 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) (sqrt.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) (*.f64 (sqrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) 1)) (/.f64 1 (/.f64 -1 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 e) 2) (/.f64 1 (sin.f64 v))) (/.f64 (cbrt.f64 e) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 e) (/.f64 1 (sin.f64 v))) (/.f64 (sqrt.f64 e) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e 1) (/.f64 (/.f64 1 (fma.f64 e (cos.f64 v) 1)) (/.f64 1 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) 2) 1) (/.f64 (cbrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) (/.f64 1 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) 1) (/.f64 (sqrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) (/.f64 1 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) -2))) (/.f64 (/.f64 1 (fma.f64 e (cos.f64 v) 1)) (/.f64 1 (cbrt.f64 (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 v) -2))) (/.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (/.f64 1 (cbrt.f64 (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) 2) (cbrt.f64 (pow.f64 (sin.f64 v) -2))) (cbrt.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) (cbrt.f64 (pow.f64 (sin.f64 v) -2))) (/.f64 (sqrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) (/.f64 1 (cbrt.f64 (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (pow.f64 (sin.f64 v) -1/2)) (/.f64 (/.f64 1 (fma.f64 e (cos.f64 v) 1)) (pow.f64 (sin.f64 v) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (sin.f64 v) -1/2)) (/.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (pow.f64 (sin.f64 v) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) 2) (pow.f64 (sin.f64 v) -1/2)) (/.f64 (cbrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) (pow.f64 (sin.f64 v) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) -1) (neg.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (cbrt.f64 (pow.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 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 e (/.f64 (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 e (/.f64 (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 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) 1) e)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) 3) (pow.f64 (/.f64 1 (sin.f64 v)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) e) (/.f64 1 (sin.f64 v))) -1)))) (#(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 (*.f64 (/.f64 1 (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) 1) e)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (/.f64 -1 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 e (/.f64 (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 (fma.f64 e (cos.f64 v) 1)) 3) (pow.f64 (/.f64 1 (sin.f64 v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 e (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (/.f64 1 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) (pow.f64 (cbrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) 2) (cbrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 e) 2) (*.f64 (cbrt.f64 e) (/.f64 1 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) (sqrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 1 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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)) e)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 e) 2) 1) (/.f64 (cbrt.f64 e) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 e) 1) (/.f64 (sqrt.f64 e) (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 e (cbrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 e) 2) (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (cbrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 e) (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (/.f64 (sqrt.f64 e) (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 e (sqrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 e) 2) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))) (/.f64 (cbrt.f64 e) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (+.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 e (-.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 e (fma.f64 e (cos.f64 v) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 e (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) e) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 e 3) (pow.f64 (fma.f64 e (cos.f64 v) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) e) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 e (neg.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 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 (fma.f64 e (cos.f64 v) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1))) 1))))))

simplify55.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
722×fma-def_binary64
716×associate-*l*_binary64
703×associate-*r*_binary64
290×associate-/r*_binary64
266×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01361563
14311505
215601469
Stop Event
1×node limit
Counts
132 → 138
Calls
Call 1
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)))
e
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e)
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))) (+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e)))
(/.f64 1 (cos.f64 v))
(-.f64 (/.f64 1 (cos.f64 v)) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (/.f64 1 (cos.f64 v))) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (/.f64 1 (cos.f64 v))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3))) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e))))
(/.f64 1 (cos.f64 v))
(-.f64 (/.f64 1 (cos.f64 v)) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (/.f64 1 (cos.f64 v))) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (/.f64 1 (cos.f64 v))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3))) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e))))
(/.f64 e (+.f64 1 e))
(+.f64 (/.f64 e (+.f64 1 e)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 v 2) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2))))
(+.f64 (/.f64 e (+.f64 1 e)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 v 2) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3))))))))
(+.f64 (/.f64 e (+.f64 1 e)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 v 2) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3)))) e) (+.f64 1 e))) (*.f64 1/48 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3))))))) (*.f64 -1 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 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 (cos.f64 v) (*.f64 (*.f64 e e) (sin.f64 v))))
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(-.f64 (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e) (*.f64 e (*.f64 e (cos.f64 v))))
(fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))) (+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e)))
(fma.f64 -1 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)) (fma.f64 -1 (*.f64 (cos.f64 v) (*.f64 e e)) (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e)))
(-.f64 (-.f64 (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e) (*.f64 e (*.f64 e (cos.f64 v)))) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))
(-.f64 (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e) (fma.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4) (*.f64 e (*.f64 e (cos.f64 v)))))
(/.f64 1 (cos.f64 v))
(-.f64 (/.f64 1 (cos.f64 v)) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e)))
(-.f64 (/.f64 1 (cos.f64 v)) (/.f64 1 (*.f64 e (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 1 (cos.f64 v)) (/.f64 -1 (*.f64 e (pow.f64 (cos.f64 v) 2))))
(-.f64 (/.f64 1 (cos.f64 v)) (/.f64 (/.f64 1 (pow.f64 (cos.f64 v) 2)) e))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (/.f64 1 (cos.f64 v))) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e)))
(+.f64 (/.f64 1 (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (-.f64 (/.f64 1 (cos.f64 v)) (/.f64 1 (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 1 (cos.f64 v)) (-.f64 (/.f64 1 (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (/.f64 1 (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 1 (cos.f64 v)) (+.f64 (/.f64 1 (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 -1 (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (/.f64 1 (cos.f64 v))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3))) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e))))
(+.f64 (/.f64 1 (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (-.f64 (/.f64 1 (cos.f64 v)) (+.f64 (/.f64 1 (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 1 (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))))
(+.f64 (-.f64 (+.f64 (/.f64 1 (cos.f64 v)) (/.f64 1 (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3)))) (/.f64 1 (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))) (/.f64 -1 (*.f64 e (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 1 (cos.f64 v)) (+.f64 (-.f64 (/.f64 1 (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (/.f64 1 (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3))) (/.f64 -1 (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(/.f64 1 (cos.f64 v))
(-.f64 (/.f64 1 (cos.f64 v)) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e)))
(-.f64 (/.f64 1 (cos.f64 v)) (/.f64 1 (*.f64 e (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 1 (cos.f64 v)) (/.f64 -1 (*.f64 e (pow.f64 (cos.f64 v) 2))))
(-.f64 (/.f64 1 (cos.f64 v)) (/.f64 (/.f64 1 (pow.f64 (cos.f64 v) 2)) e))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (/.f64 1 (cos.f64 v))) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e)))
(+.f64 (/.f64 1 (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (-.f64 (/.f64 1 (cos.f64 v)) (/.f64 1 (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 1 (cos.f64 v)) (-.f64 (/.f64 1 (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (/.f64 1 (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 1 (cos.f64 v)) (+.f64 (/.f64 1 (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 -1 (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (/.f64 1 (cos.f64 v))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3))) (/.f64 1 (*.f64 (pow.f64 (cos.f64 v) 2) e))))
(+.f64 (/.f64 1 (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (-.f64 (/.f64 1 (cos.f64 v)) (+.f64 (/.f64 1 (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 1 (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))))
(+.f64 (-.f64 (+.f64 (/.f64 1 (cos.f64 v)) (/.f64 1 (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3)))) (/.f64 1 (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))) (/.f64 -1 (*.f64 e (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 1 (cos.f64 v)) (+.f64 (-.f64 (/.f64 1 (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (/.f64 1 (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3))) (/.f64 -1 (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(/.f64 e (+.f64 1 e))
(/.f64 e (+.f64 e 1))
(+.f64 (/.f64 e (+.f64 1 e)) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 v 2) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2))))
(+.f64 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 (*.f64 e e) (*.f64 v v))) (pow.f64 (+.f64 e 1) 2)))
(fma.f64 1/2 (/.f64 (*.f64 e e) (/.f64 (pow.f64 (+.f64 e 1) 2) (*.f64 v v))) (/.f64 e (+.f64 e 1)))
(fma.f64 1/2 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) (*.f64 e (*.f64 v v)))) (/.f64 e (+.f64 e 1)))
(+.f64 (/.f64 e (+.f64 1 e)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 v 2) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3))))))))
(+.f64 (/.f64 e (+.f64 e 1)) (fma.f64 1/2 (/.f64 (*.f64 v v) (/.f64 (pow.f64 (+.f64 e 1) 2) (*.f64 e e))) (neg.f64 (*.f64 (pow.f64 v 4) (fma.f64 1/24 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) (*.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3))))))))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 e e) (/.f64 (pow.f64 (+.f64 e 1) 2) (*.f64 v v))) (/.f64 e (+.f64 e 1))) (*.f64 (pow.f64 v 4) (fma.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3)) (/.f64 (*.f64 (*.f64 e e) 1/24) (pow.f64 (+.f64 e 1) 2)))))
(fma.f64 1/2 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) (*.f64 e (*.f64 v v)))) (fma.f64 (fma.f64 -1/4 (pow.f64 (/.f64 e (+.f64 e 1)) 3) (/.f64 (*.f64 e e) (/.f64 (pow.f64 (+.f64 e 1) 2) 1/24))) (neg.f64 (pow.f64 v 4)) (/.f64 e (+.f64 e 1))))
(+.f64 (/.f64 e (+.f64 1 e)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 v 2) (pow.f64 e 2)) (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 6) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3)))) e) (+.f64 1 e))) (*.f64 1/48 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3))))))) (*.f64 -1 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 1 e) 3)))))))))
(+.f64 (/.f64 e (+.f64 e 1)) (fma.f64 1/2 (/.f64 (*.f64 v v) (/.f64 (pow.f64 (+.f64 e 1) 2) (*.f64 e e))) (*.f64 -1 (+.f64 (*.f64 (pow.f64 v 6) (fma.f64 -1/720 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) (fma.f64 1/2 (/.f64 (fma.f64 1/24 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) (*.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3)))) (/.f64 (+.f64 e 1) e)) (/.f64 (*.f64 1/48 (pow.f64 e 3)) (pow.f64 (+.f64 e 1) 3))))) (*.f64 (pow.f64 v 4) (fma.f64 1/24 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) (*.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3)))))))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 e e) (/.f64 (pow.f64 (+.f64 e 1) 2) (*.f64 v v))) (/.f64 e (+.f64 e 1))) (neg.f64 (fma.f64 (pow.f64 v 6) (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) -1/720 (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3)) (/.f64 (*.f64 (*.f64 e e) 1/24) (pow.f64 (+.f64 e 1) 2))) (/.f64 (+.f64 e 1) e)) (*.f64 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3)) 1/48))) (*.f64 (pow.f64 v 4) (fma.f64 -1/4 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3)) (/.f64 (*.f64 (*.f64 e e) 1/24) (pow.f64 (+.f64 e 1) 2)))))))
(-.f64 (fma.f64 1/2 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) (*.f64 e (*.f64 v v)))) (/.f64 e (+.f64 e 1))) (fma.f64 (pow.f64 v 6) (fma.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) -1/720 (fma.f64 1/2 (*.f64 (/.f64 e (+.f64 e 1)) (fma.f64 -1/4 (pow.f64 (/.f64 e (+.f64 e 1)) 3) (/.f64 (*.f64 e e) (/.f64 (pow.f64 (+.f64 e 1) 2) 1/24)))) (*.f64 (pow.f64 (/.f64 e (+.f64 e 1)) 3) 1/48))) (*.f64 (pow.f64 v 4) (fma.f64 -1/4 (pow.f64 (/.f64 e (+.f64 e 1)) 3) (/.f64 (*.f64 e e) (/.f64 (pow.f64 (+.f64 e 1) 2) 1/24))))))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 v (/.f64 v e))
Compiler

Compiled 12 to 4 computations (66.7% saved)

series43.0ms (0.4%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
34.0ms
v
@-inf
(-.f64 v (/.f64 v e))
8.0ms
v
@inf
(-.f64 v (/.f64 v e))
1.0ms
v
@0
(-.f64 v (/.f64 v e))
1.0ms
e
@0
(-.f64 v (/.f64 v e))
0.0ms
e
@-inf
(-.f64 v (/.f64 v e))

rewrite54.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
726×pow1_binary64
678×add-log-exp_binary64
678×log1p-expm1-u_binary64
678×expm1-log1p-u_binary64
663×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11167
217897
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
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))))))

simplify33.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
141×fma-def_binary64
67×fma-neg_binary64
39×associate-*r*_binary64
39×distribute-rgt-in_binary64
32×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
014218
130218
271155
3136155
4244155
5473155
6697155
7701155
Stop Event
1×saturated
Counts
60 → 43
Calls
Call 1
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))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (+.f64 e 1) (*.f64 e v))
✓1.1b
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v)))
Compiler

Compiled 27 to 14 computations (48.1% saved)

series5.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
e
@-inf
(/.f64 (+.f64 e 1) (*.f64 e v))
1.0ms
v
@0
(/.f64 (+.f64 e 1) (*.f64 e v))
0.0ms
v
@-inf
(/.f64 (+.f64 e 1) (*.f64 e v))
0.0ms
e
@0
(/.f64 (+.f64 e 1) (*.f64 e v))
0.0ms
e
@0
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v)))

rewrite90.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
991×pow1_binary64
925×log1p-expm1-u_binary64
925×expm1-log1p-u_binary64
924×add-log-exp_binary64
91×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
117820
2256020
Stop Event
1×node limit
Counts
2 → 87
Calls
Call 1
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))))))))

simplify71.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
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
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041548
1107536
2270526
3970509
44252502
Stop Event
1×node limit
Counts
135 → 109
Calls
Call 1
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))

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 v)
✓0.0b
(/.f64 e (+.f64 e 1))
✓0.2b
(*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))
Compiler

Compiled 23 to 13 computations (43.5% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
e
@0
(*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))
0.0ms
e
@inf
(*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))
0.0ms
e
@inf
(/.f64 e (+.f64 e 1))
0.0ms
v
@0
(*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))
0.0ms
e
@0
(/.f64 e (+.f64 e 1))

rewrite72.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
918×pow1_binary64
852×log1p-expm1-u_binary64
852×expm1-log1p-u_binary64
851×add-log-exp_binary64
833×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
116919
2229119
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))
(/.f64 e (+.f64 e 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 e 1) (*.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (sin.f64 v)) (+.f64 e 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 e (sin.f64 v))) (+.f64 (neg.f64 e) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 e (sin.f64 v)) 1) (+.f64 e 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 e (sin.f64 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 (sin.f64 v)) (sqrt.f64 (+.f64 e 1))) (sqrt.f64 (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (+.f64 (neg.f64 e) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (+.f64 (neg.f64 e) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 e (+.f64 e 1)) 3) (pow.f64 (sin.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 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 e (sin.f64 v))) (log1p.f64 e)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 e (+.f64 e 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (/.f64 1 (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 e (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (+.f64 e 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 e (+.f64 e 1))) (pow.f64 (cbrt.f64 (/.f64 e (+.f64 e 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 e (+.f64 e 1))) 2) (cbrt.f64 (/.f64 e (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 e) 2) (*.f64 (cbrt.f64 e) (/.f64 1 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 e (+.f64 e 1))) (sqrt.f64 (/.f64 e (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 1 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 e) (/.f64 1 (+.f64 (neg.f64 e) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 e 1)) e)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 e) 2) 1) (/.f64 (cbrt.f64 e) (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 e) 1) (/.f64 (sqrt.f64 e) (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 e 1)) 2)) (/.f64 e (cbrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 e) 2) (pow.f64 (cbrt.f64 (+.f64 e 1)) 2)) (cbrt.f64 (/.f64 e (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 e) (pow.f64 (cbrt.f64 (+.f64 e 1)) 2)) (/.f64 (sqrt.f64 e) (cbrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 e 1))) (/.f64 e (sqrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 e) 2) (sqrt.f64 (+.f64 e 1))) (/.f64 (cbrt.f64 e) (sqrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (+.f64 1 (pow.f64 e 3))) (fma.f64 e e (-.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (fma.f64 e e -1)) (+.f64 e -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 e (+.f64 e 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 e (+.f64 e 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 e (+.f64 e 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 e (+.f64 e 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 e 1) e) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 e (+.f64 (neg.f64 e) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 e (+.f64 e 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 e (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 e (+.f64 e 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 e (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 e (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 e) (log1p.f64 e)))))))

simplify107.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
671×times-frac_binary64
656×associate-*l*_binary64
583×associate-*r*_binary64
385×fma-neg_binary64
281×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
074614
1208591
2573566
31906543
47560543
Stop Event
1×node limit
Counts
92 → 93
Calls
Call 1
Inputs
(*.f64 (sin.f64 v) e)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (*.f64 (sin.f64 v) e))
(+.f64 (*.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (*.f64 (sin.f64 v) e)))
(+.f64 (*.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 4))) (*.f64 (sin.f64 v) e))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 3))))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 3))))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e))))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 v 7) e) (+.f64 1 e))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
e
(+.f64 (*.f64 -1 (pow.f64 e 2)) e)
(+.f64 (*.f64 -1 (pow.f64 e 2)) (+.f64 (pow.f64 e 3) e))
(+.f64 (*.f64 -1 (pow.f64 e 2)) (+.f64 (*.f64 -1 (pow.f64 e 4)) (+.f64 (pow.f64 e 3) e)))
1
(-.f64 1 (/.f64 1 e))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 e 2))) (/.f64 1 e))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 e 2))) (+.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 3))))
1
(-.f64 1 (/.f64 1 e))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 e 2))) (/.f64 1 e))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 e 2))) (+.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 3))))
Outputs
(*.f64 (sin.f64 v) e)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (*.f64 (sin.f64 v) e))
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 e e)) (*.f64 (sin.f64 v) e))
(-.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 e e)))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(+.f64 (*.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (*.f64 (sin.f64 v) e)))
(fma.f64 (sin.f64 v) (pow.f64 e 3) (fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 e e)) (*.f64 (sin.f64 v) e)))
(fma.f64 (sin.f64 v) (pow.f64 e 3) (-.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 e e))))
(fma.f64 (sin.f64 v) e (*.f64 (sin.f64 v) (*.f64 e (*.f64 e (+.f64 e -1)))))
(*.f64 (sin.f64 v) (fma.f64 (*.f64 e e) (+.f64 e -1) e))
(+.f64 (*.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 4))) (*.f64 (sin.f64 v) e))))
(fma.f64 (sin.f64 v) (pow.f64 e 3) (fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 e e)) (fma.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 4)) (*.f64 (sin.f64 v) e))))
(fma.f64 (sin.f64 v) (pow.f64 e 3) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (neg.f64 (sin.f64 v)) (+.f64 (*.f64 e e) (pow.f64 e 4)))))
(fma.f64 (neg.f64 (sin.f64 v)) (fma.f64 e e (pow.f64 e 4)) (*.f64 (sin.f64 v) (+.f64 e (pow.f64 e 3))))
(*.f64 (sin.f64 v) (*.f64 (fma.f64 e e 1) (-.f64 e (*.f64 e e))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (neg.f64 (/.f64 (sin.f64 v) e)))
(-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (sin.f64 v) (fma.f64 -1 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (*.f64 e e))))
(+.f64 (sin.f64 v) (-.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (/.f64 (sin.f64 v) e)))
(-.f64 (sin.f64 v) (-.f64 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (*.f64 e e))))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (*.f64 e e)))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 3))))))
(+.f64 (sin.f64 v) (+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (*.f64 e e))) (neg.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)))))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (/.f64 (sin.f64 v) (pow.f64 e 3))))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 (+.f64 1 (/.f64 -1 e)) (/.f64 (sin.f64 v) (*.f64 e e))))
(fma.f64 (+.f64 1 (/.f64 -1 e)) (/.f64 (sin.f64 v) (*.f64 e e)) (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (neg.f64 (/.f64 (sin.f64 v) e)))
(-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (sin.f64 v) (fma.f64 -1 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (*.f64 e e))))
(+.f64 (sin.f64 v) (-.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (/.f64 (sin.f64 v) e)))
(-.f64 (sin.f64 v) (-.f64 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (*.f64 e e))))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (*.f64 e e)))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 3))))))
(+.f64 (sin.f64 v) (+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (*.f64 e e))) (neg.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)))))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (/.f64 (sin.f64 v) (pow.f64 e 3))))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 (+.f64 1 (/.f64 -1 e)) (/.f64 (sin.f64 v) (*.f64 e e))))
(fma.f64 (+.f64 1 (/.f64 -1 e)) (/.f64 (sin.f64 v) (*.f64 e e)) (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(*.f64 e (/.f64 v (+.f64 e 1)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))
(fma.f64 -1/6 (/.f64 (pow.f64 v 3) (/.f64 (+.f64 e 1) e)) (/.f64 v (/.f64 (+.f64 e 1) e)))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 v 3) (+.f64 e 1)) e) (*.f64 (/.f64 v (+.f64 e 1)) e))
(fma.f64 -1/6 (/.f64 (pow.f64 v 3) (/.f64 (+.f64 e 1) e)) (*.f64 e (/.f64 v (+.f64 e 1))))
(*.f64 e (+.f64 (/.f64 v (+.f64 e 1)) (*.f64 -1/6 (/.f64 (pow.f64 v 3) (+.f64 e 1)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e))))
(fma.f64 -1/6 (/.f64 (pow.f64 v 3) (/.f64 (+.f64 e 1) e)) (fma.f64 1/120 (/.f64 (pow.f64 v 5) (/.f64 (+.f64 e 1) e)) (/.f64 v (/.f64 (+.f64 e 1) e))))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 v 3) (+.f64 e 1)) e) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 v 5) (+.f64 e 1)) e) (*.f64 (/.f64 v (+.f64 e 1)) e)))
(fma.f64 (/.f64 v (+.f64 e 1)) e (fma.f64 -1/6 (/.f64 (pow.f64 v 3) (/.f64 (+.f64 e 1) e)) (*.f64 (/.f64 (*.f64 1/120 (pow.f64 v 5)) (+.f64 e 1)) e)))
(fma.f64 -1/6 (*.f64 e (/.f64 (pow.f64 v 3) (+.f64 e 1))) (*.f64 e (+.f64 (/.f64 v (+.f64 e 1)) (/.f64 1/120 (/.f64 (+.f64 e 1) (pow.f64 v 5))))))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 v 7) e) (+.f64 1 e))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))))
(fma.f64 -1/5040 (/.f64 (*.f64 e (pow.f64 v 7)) (+.f64 e 1)) (fma.f64 -1/6 (/.f64 (pow.f64 v 3) (/.f64 (+.f64 e 1) e)) (fma.f64 1/120 (/.f64 (pow.f64 v 5) (/.f64 (+.f64 e 1) e)) (/.f64 v (/.f64 (+.f64 e 1) e)))))
(fma.f64 -1/5040 (/.f64 e (/.f64 (+.f64 e 1) (pow.f64 v 7))) (fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 v 3) (+.f64 e 1)) e) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 v 5) (+.f64 e 1)) e) (*.f64 (/.f64 v (+.f64 e 1)) e))))
(fma.f64 -1/6 (/.f64 (pow.f64 v 3) (/.f64 (+.f64 e 1) e)) (fma.f64 -1/5040 (*.f64 e (/.f64 (pow.f64 v 7) (+.f64 e 1))) (fma.f64 1/120 (*.f64 e (/.f64 (pow.f64 v 5) (+.f64 e 1))) (*.f64 e (/.f64 v (+.f64 e 1))))))
(fma.f64 -1/6 (*.f64 e (/.f64 (pow.f64 v 3) (+.f64 e 1))) (fma.f64 -1/5040 (/.f64 e (/.f64 (+.f64 e 1) (pow.f64 v 7))) (*.f64 e (+.f64 (/.f64 v (+.f64 e 1)) (/.f64 1/120 (/.f64 (+.f64 e 1) (pow.f64 v 5)))))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
e
(+.f64 (*.f64 -1 (pow.f64 e 2)) e)
(fma.f64 -1 (*.f64 e e) e)
(-.f64 e (*.f64 e e))
(+.f64 (*.f64 -1 (pow.f64 e 2)) (+.f64 (pow.f64 e 3) e))
(fma.f64 -1 (*.f64 e e) (+.f64 e (pow.f64 e 3)))
(+.f64 (pow.f64 e 3) (-.f64 e (*.f64 e e)))
(*.f64 e (-.f64 (fma.f64 e e 1) e))
(fma.f64 (*.f64 e e) (+.f64 e -1) e)
(+.f64 (*.f64 -1 (pow.f64 e 2)) (+.f64 (*.f64 -1 (pow.f64 e 4)) (+.f64 (pow.f64 e 3) e)))
(fma.f64 -1 (*.f64 e e) (fma.f64 -1 (pow.f64 e 4) (+.f64 e (pow.f64 e 3))))
(-.f64 (-.f64 (+.f64 e (pow.f64 e 3)) (pow.f64 e 4)) (*.f64 e e))
(-.f64 (+.f64 e (pow.f64 e 3)) (fma.f64 e e (pow.f64 e 4)))
(*.f64 (fma.f64 e e 1) (-.f64 e (*.f64 e e)))
1
(-.f64 1 (/.f64 1 e))
(+.f64 1 (/.f64 -1 e))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 e 2))) (/.f64 1 e))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 e e))) (/.f64 1 e))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 e e)) (/.f64 -1 e)))
(-.f64 (/.f64 1 (*.f64 e e)) (-.f64 (/.f64 1 e) 1))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 e 2))) (+.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 3))))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 e e))) (+.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 e e)) (+.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 3)))))
(+.f64 1 (+.f64 (-.f64 (/.f64 1 (*.f64 e e)) (/.f64 1 (pow.f64 e 3))) (/.f64 -1 e)))
(+.f64 (+.f64 1 (/.f64 -1 e)) (-.f64 (/.f64 1 (*.f64 e e)) (/.f64 1 (pow.f64 e 3))))
1
(-.f64 1 (/.f64 1 e))
(+.f64 1 (/.f64 -1 e))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 e 2))) (/.f64 1 e))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 e e))) (/.f64 1 e))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 e e)) (/.f64 -1 e)))
(-.f64 (/.f64 1 (*.f64 e e)) (-.f64 (/.f64 1 e) 1))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 e 2))) (+.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 3))))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 e e))) (+.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 e e)) (+.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 3)))))
(+.f64 1 (+.f64 (-.f64 (/.f64 1 (*.f64 e e)) (/.f64 1 (pow.f64 e 3))) (/.f64 -1 e)))
(+.f64 (+.f64 1 (/.f64 -1 e)) (-.f64 (/.f64 1 (*.f64 e e)) (/.f64 1 (pow.f64 e 3))))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v)))) (+.f64 1 e))
✓0.1b
(expm1.f64 (sin.f64 v))
✓0.1b
(*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v))))
✓0.2b
(log1p.f64 (expm1.f64 (sin.f64 v)))
Compiler

Compiled 33 to 12 computations (63.6% saved)

series13.0ms (0.1%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
7.0ms
e
@0
(*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v))))
0.0ms
v
@0
(expm1.f64 (sin.f64 v))
0.0ms
v
@0
(log1p.f64 (expm1.f64 (sin.f64 v)))
0.0ms
v
@-inf
(*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v))))
0.0ms
v
@inf
(expm1.f64 (sin.f64 v))

rewrite125.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
478×log-prod_binary64
374×exp-prod_binary64
338×prod-exp_binary64
288×pow-prod-down_binary64
242×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
119026
2255126
Stop Event
1×node limit
Counts
4 → 160
Calls
Call 1
Inputs
(log1p.f64 (expm1.f64 (sin.f64 v)))
(*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v))))
(expm1.f64 (sin.f64 v))
(/.f64 (*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v)))) (+.f64 1 e))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (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 (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 (log1p.f64 (pow.f64 (expm1.f64 (sin.f64 v)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (sin.f64 v)) 2) (expm1.f64 (sin.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 v))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 v))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (sin.f64 v)) 2))) (log.f64 (-.f64 1 (expm1.f64 (sin.f64 v)))))))) (#(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 (E.f64) (log.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 v) 2) 1/2)))) (#(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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 v))) 2)) (cbrt.f64 (log.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 v)))) (sqrt.f64 (log.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 v)))))) (#(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 exp.f64 (log.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 v) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 v)) 1) 1))))))
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(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2) (sqrt.f64 (+.f64 e 1))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) (sqrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (pow.f64 e 3))) (fma.f64 e (-.f64 e 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 v) e) (-.f64 1 (*.f64 e e))) (-.f64 1 e))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log.f64 (*.f64 (sin.f64 v) e)) (log1p.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 e 1) (*.f64 (sin.f64 v) e)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3) (pow.f64 (+.f64 e 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 e 1) (*.f64 (sin.f64 v) e)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (*.f64 (sin.f64 v) e)) (log1p.f64 e))) 2)) (cbrt.f64 (-.f64 (log.f64 (*.f64 (sin.f64 v) e)) (log1p.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (*.f64 (sin.f64 v) e)) (log1p.f64 e)))) (sqrt.f64 (-.f64 (log.f64 (*.f64 (sin.f64 v) e)) (log1p.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 (neg.f64 e) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 e (+.f64 e 1))) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3) (pow.f64 (+.f64 e 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (sin.f64 v) e)) (log1p.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 (sin.f64 v) e)) (log1p.f64 e)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (*.f64 (sin.f64 v) e)) (log1p.f64 e))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 e) (log.f64 (*.f64 (sin.f64 v) e))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (*.f64 (sin.f64 v) e)) (log1p.f64 e)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 e) 1) (-.f64 (log1p.f64 e) (log.f64 (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (sin.f64 v) e)) 1) (log1p.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (sin.f64 v) e)) (*.f64 (log1p.f64 e) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (sin.f64 v) e)) 1) (*.f64 (log1p.f64 e) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (sin.f64 v) e)) 1) (neg.f64 (log1p.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log1p.f64 e)) (*.f64 (log.f64 (*.f64 (sin.f64 v) e)) 1)))))))

simplify143.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
500×unswap-sqr_binary64
494×fma-def_binary64
408×associate-/l*_binary64
354×associate-/r*_binary64
335×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
091836
1248807
2679770
32418757
46187755
Stop Event
1×node limit
Counts
232 → 204
Calls
Call 1
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)
v
(+.f64 v (*.f64 1/2 (pow.f64 v 2)))
(+.f64 v (+.f64 (*.f64 1/2 (pow.f64 v 2)) (*.f64 -1/8 (pow.f64 v 4))))
(+.f64 (*.f64 -1/15 (pow.f64 v 5)) (+.f64 v (+.f64 (*.f64 1/2 (pow.f64 v 2)) (*.f64 -1/8 (pow.f64 v 4)))))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(-.f64 (exp.f64 (sin.f64 v)) 1)
(-.f64 (exp.f64 (sin.f64 v)) 1)
(-.f64 (exp.f64 (sin.f64 v)) 1)
(-.f64 (exp.f64 (sin.f64 v)) 1)
(-.f64 (exp.f64 (sin.f64 v)) 1)
(-.f64 (exp.f64 (sin.f64 v)) 1)
(-.f64 (exp.f64 (sin.f64 v)) 1)
(*.f64 (sin.f64 v) e)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (*.f64 (sin.f64 v) e))
(+.f64 (*.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (*.f64 (sin.f64 v) e)))
(+.f64 (*.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 4))) (*.f64 (sin.f64 v) e))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 3))))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 3))))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e))))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 v 7) e) (+.f64 1 e))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
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))))
(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 v (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) (*.f64 -1/5040 (pow.f64 v 7)))))
(+.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))))
(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 v e) (*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (*.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) 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 1/120 (pow.f64 v 5) (*.f64 -1/5040 (pow.f64 v 7))))))
(*.f64 e (+.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)))))
(*.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)
v
(+.f64 v (*.f64 1/2 (pow.f64 v 2)))
(+.f64 v (*.f64 1/2 (*.f64 v v)))
(fma.f64 1/2 (*.f64 v v) v)
(fma.f64 v (*.f64 v 1/2) v)
(+.f64 v (+.f64 (*.f64 1/2 (pow.f64 v 2)) (*.f64 -1/8 (pow.f64 v 4))))
(+.f64 v (fma.f64 1/2 (*.f64 v v) (*.f64 -1/8 (pow.f64 v 4))))
(fma.f64 v (*.f64 v 1/2) (fma.f64 -1/8 (pow.f64 v 4) v))
(+.f64 (*.f64 -1/15 (pow.f64 v 5)) (+.f64 v (+.f64 (*.f64 1/2 (pow.f64 v 2)) (*.f64 -1/8 (pow.f64 v 4)))))
(fma.f64 -1/15 (pow.f64 v 5) (+.f64 v (fma.f64 1/2 (*.f64 v v) (*.f64 -1/8 (pow.f64 v 4)))))
(+.f64 (fma.f64 1/2 (*.f64 v v) (*.f64 -1/8 (pow.f64 v 4))) (fma.f64 (pow.f64 v 5) -1/15 v))
(fma.f64 (pow.f64 v 5) -1/15 (fma.f64 v (*.f64 v 1/2) (fma.f64 -1/8 (pow.f64 v 4) v)))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(expm1.f64 (sin.f64 v))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(expm1.f64 (sin.f64 v))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(expm1.f64 (sin.f64 v))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(expm1.f64 (sin.f64 v))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(expm1.f64 (sin.f64 v))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(expm1.f64 (sin.f64 v))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(expm1.f64 (sin.f64 v))
(-.f64 (exp.f64 (sin.f64 v)) 1)
(expm1.f64 (sin.f64 v))
(*.f64 (sin.f64 v) e)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (*.f64 (sin.f64 v) e))
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 e e)) (*.f64 (sin.f64 v) e))
(-.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 e e)))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e e)))
(+.f64 (*.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (*.f64 (sin.f64 v) e)))
(fma.f64 (sin.f64 v) (pow.f64 e 3) (fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 e e)) (*.f64 (sin.f64 v) e)))
(fma.f64 (sin.f64 v) (pow.f64 e 3) (-.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 e e))))
(fma.f64 (sin.f64 v) e (*.f64 (*.f64 (sin.f64 v) e) (-.f64 (*.f64 e e) e)))
(*.f64 (sin.f64 v) (+.f64 (pow.f64 e 3) (-.f64 e (*.f64 e e))))
(*.f64 (sin.f64 v) (+.f64 e (-.f64 (pow.f64 e 3) (*.f64 e e))))
(+.f64 (*.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 4))) (*.f64 (sin.f64 v) e))))
(fma.f64 (sin.f64 v) (pow.f64 e 3) (fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 e e)) (fma.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 4)) (*.f64 (sin.f64 v) e))))
(fma.f64 (sin.f64 v) (pow.f64 e 3) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (neg.f64 (sin.f64 v)) (+.f64 (*.f64 e e) (pow.f64 e 4)))))
(fma.f64 (neg.f64 (sin.f64 v)) (fma.f64 e e (pow.f64 e 4)) (*.f64 (sin.f64 v) (+.f64 e (pow.f64 e 3))))
(*.f64 (sin.f64 v) (+.f64 (-.f64 e (pow.f64 e 4)) (-.f64 (pow.f64 e 3) (*.f64 e e))))
(*.f64 (sin.f64 v) (-.f64 (+.f64 e (pow.f64 e 3)) (fma.f64 e e (pow.f64 e 4))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (neg.f64 (/.f64 (sin.f64 v) e)))
(-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (sin.f64 v) (fma.f64 -1 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (*.f64 e e))))
(+.f64 (sin.f64 v) (-.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (/.f64 (sin.f64 v) e)))
(-.f64 (sin.f64 v) (-.f64 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (*.f64 e e))))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (*.f64 e e)))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 3))))))
(+.f64 (sin.f64 v) (+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (*.f64 e e))) (neg.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)))))
(+.f64 (sin.f64 v) (-.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 3))))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) (*.f64 e e))))
(fma.f64 (+.f64 1 (/.f64 -1 e)) (/.f64 (sin.f64 v) (*.f64 e e)) (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (neg.f64 (/.f64 (sin.f64 v) e)))
(-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (sin.f64 v) (fma.f64 -1 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (*.f64 e e))))
(+.f64 (sin.f64 v) (-.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (/.f64 (sin.f64 v) e)))
(-.f64 (sin.f64 v) (-.f64 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (*.f64 e e))))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (*.f64 e e)))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 3))))))
(+.f64 (sin.f64 v) (+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (*.f64 e e))) (neg.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)))))
(+.f64 (sin.f64 v) (-.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 3))))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) (*.f64 e e))))
(fma.f64 (+.f64 1 (/.f64 -1 e)) (/.f64 (sin.f64 v) (*.f64 e e)) (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))
(fma.f64 -1/6 (/.f64 (pow.f64 v 3) (/.f64 (+.f64 e 1) e)) (/.f64 v (/.f64 (+.f64 e 1) e)))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 v 3) (+.f64 e 1)) e) (*.f64 (/.f64 v (+.f64 e 1)) e))
(fma.f64 -1/6 (*.f64 e (/.f64 (pow.f64 v 3) (+.f64 e 1))) (*.f64 e (/.f64 v (+.f64 e 1))))
(*.f64 e (+.f64 (/.f64 v (+.f64 e 1)) (*.f64 -1/6 (/.f64 (pow.f64 v 3) (+.f64 e 1)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e))))
(fma.f64 -1/6 (/.f64 (pow.f64 v 3) (/.f64 (+.f64 e 1) e)) (fma.f64 1/120 (/.f64 (pow.f64 v 5) (/.f64 (+.f64 e 1) e)) (/.f64 v (/.f64 (+.f64 e 1) e))))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 v 3) (+.f64 e 1)) e) (fma.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 e 1)) (*.f64 (/.f64 v (+.f64 e 1)) e)))
(fma.f64 -1/6 (*.f64 e (/.f64 (pow.f64 v 3) (+.f64 e 1))) (fma.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 e 1)) (*.f64 e (/.f64 v (+.f64 e 1)))))
(fma.f64 -1/6 (*.f64 (pow.f64 v 3) (/.f64 e (+.f64 e 1))) (*.f64 e (+.f64 (/.f64 v (+.f64 e 1)) (*.f64 1/120 (/.f64 (pow.f64 v 5) (+.f64 e 1))))))
(fma.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 e 1)) (*.f64 e (+.f64 (/.f64 v (+.f64 e 1)) (*.f64 1/120 (/.f64 (pow.f64 v 5) (+.f64 e 1))))))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 v 7) e) (+.f64 1 e))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))))
(fma.f64 -1/5040 (/.f64 (pow.f64 v 7) (/.f64 (+.f64 e 1) e)) (fma.f64 -1/6 (/.f64 (pow.f64 v 3) (/.f64 (+.f64 e 1) e)) (fma.f64 1/120 (/.f64 (pow.f64 v 5) (/.f64 (+.f64 e 1) e)) (/.f64 v (/.f64 (+.f64 e 1) e)))))
(fma.f64 -1/5040 (*.f64 (/.f64 (pow.f64 v 7) (+.f64 e 1)) e) (fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 v 3) (+.f64 e 1)) e) (fma.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 e 1)) (*.f64 (/.f64 v (+.f64 e 1)) e))))
(fma.f64 -1/6 (*.f64 e (/.f64 (pow.f64 v 3) (+.f64 e 1))) (fma.f64 -1/5040 (*.f64 e (/.f64 (pow.f64 v 7) (+.f64 e 1))) (fma.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 e 1)) (*.f64 e (/.f64 v (+.f64 e 1))))))
(fma.f64 -1/6 (*.f64 (pow.f64 v 3) (/.f64 e (+.f64 e 1))) (fma.f64 -1/5040 (*.f64 (pow.f64 v 7) (/.f64 e (+.f64 e 1))) (*.f64 e (+.f64 (/.f64 v (+.f64 e 1)) (*.f64 1/120 (/.f64 (pow.f64 v 5) (+.f64 e 1)))))))
(fma.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 e 1)) (fma.f64 -1/5040 (*.f64 (pow.f64 v 7) (/.f64 e (+.f64 e 1))) (*.f64 e (+.f64 (/.f64 v (+.f64 e 1)) (*.f64 1/120 (/.f64 (pow.f64 v 5) (+.f64 e 1)))))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e 1)))

eval375.0ms (3.9%)

Compiler

Compiled 11282 to 6413 computations (43.2% saved)

prune263.0ms (2.7%)

Pruning

36 alts after pruning (26 fresh and 10 done)

PrunedKeptTotal
New68411695
Fresh51520
Picked011
Done1910
Total69036726
Error
0b
Counts
726 → 36
Alt Table
Click to see full alt table
StatusErrorProgram
34.8b
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v)))
✓0.8b
(*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))
2.4b
(pow.f64 (/.f64 (/.f64 1 (sin.f64 v)) e) -1)
14.7b
(/.f64 (*.f64 e (-.f64 (+.f64 1 (sin.f64 v)) 1)) (+.f64 1 e))
33.7b
(*.f64 e (/.f64 1 (/.f64 (+.f64 1 e) v)))
4.9b
(*.f64 (exp.f64 (-.f64 (log.f64 e) (log1p.f64 e))) (sin.f64 v))
45.6b
(*.f64 (-.f64 (+.f64 1 (/.f64 e (+.f64 e 1))) 1) (sin.f64 v))
✓0.2b
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
35.2b
(/.f64 1 (/.f64 1 (*.f64 v e)))
✓0.2b
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
61.2b
v
62.8b
(*.f64 v (-.f64 1 (/.f64 1 e)))
1.5b
(/.f64 e (/.f64 1 (sin.f64 v)))
33.7b
(*.f64 (/.f64 e (+.f64 e 1)) v)
✓62.8b
(-.f64 v (/.f64 v e))
2.4b
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 v) e)))
60.3b
(sin.f64 v)
14.7b
(pow.f64 (/.f64 (log1p.f64 (expm1.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) e) -1)
62.8b
(/.f64 (neg.f64 v) e)
33.8b
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v)
✓47.4b
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
✓0.9b
(/.f64 (*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v)))) (+.f64 1 e))
33.8b
(/.f64 e (/.f64 (+.f64 e 1) v))
0.6b
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
1.6b
(*.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))
47.5b
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
✓1.7b
(/.f64 (*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 3)) (+.f64 1 e))
34.0b
(*.f64 e (-.f64 v (*.f64 v e)))
1.3b
(*.f64 (sin.f64 v) e)
✓0.8b
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
6.9b
(/.f64 (*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3))) (+.f64 1 e))
✓0.3b
(/.f64 (/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e))) (/.f64 1 (sin.f64 v)))
✓34.3b
(*.f64 v e)
1.5b
(/.f64 (sin.f64 v) (/.f64 1 e))
28.0b
(*.f64 (cbrt.f64 (pow.f64 (/.f64 e (+.f64 e 1)) 3)) (sin.f64 v))
33.7b
(/.f64 (*.f64 v e) (+.f64 1 e))
Compiler

Compiled 372 to 269 computations (27.7% saved)

regimes158.0ms (1.6%)

Counts
70 → 1
Calls
Call 1
Inputs
v
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v)
(*.f64 e (/.f64 1 (/.f64 (+.f64 1 e) v)))
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v)))
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v)))
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
(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 e (/.f64 1 (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 v) e)))
(*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(*.f64 e (/.f64 1 (/.f64 (+.f64 e 1) (sin.f64 v))))
(*.f64 (-.f64 (+.f64 1 (/.f64 e (+.f64 e 1))) 1) (sin.f64 v))
(/.f64 (*.f64 e (-.f64 (+.f64 1 (sin.f64 v)) 1)) (+.f64 1 e))
(pow.f64 (/.f64 (/.f64 1 (sin.f64 v)) e) -1)
(pow.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) -1)
(*.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 (/.f64 e (+.f64 1 (*.f64 (cos.f64 v) e))) (/.f64 1 (sin.f64 v)))
(/.f64 (*.f64 e (-.f64 (+.f64 1 (sin.f64 v)) 1)) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))
(/.f64 (*.f64 e (log.f64 (exp.f64 (sin.f64 v)))) (+.f64 1 e))
(/.f64 (*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v)))) (+.f64 1 e))
(/.f64 (*.f64 e (expm1.f64 (log1p.f64 (sin.f64 v)))) (+.f64 1 e))
(/.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 (+.f64 e 1)) 3)) (sin.f64 v))
(/.f64 (*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3))) (+.f64 1 e))
(/.f64 (*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3))) (+.f64 1 e))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) 2)
(/.f64 (*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 3)) (+.f64 1 e))
(/.f64 (*.f64 e (-.f64 (exp.f64 (log1p.f64 (sin.f64 v))) 1)) (+.f64 1 e))
(/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) (/.f64 1 e))
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (/.f64 1 (sin.f64 v)))
(*.f64 (exp.f64 (-.f64 (log.f64 e) (log1p.f64 e))) (sin.f64 v))
(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e) -1)
(/.f64 (*.f64 e (expm1.f64 (log1p.f64 (sin.f64 v)))) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v)))) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 3)) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 e (cbrt.f64 (pow.f64 (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 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) -3)))
(/.f64 (sqrt.f64 e) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) (sqrt.f64 e)))
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 v))) 3))
(pow.f64 (/.f64 (log1p.f64 (expm1.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) e) -1)
(pow.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) 3)) e) -1)
(*.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))))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
Calls

3 calls:

46.0ms
e
43.0ms
v
41.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
Results
ErrorSegmentsBranch
0.2b1e
0.2b1v
0.2b1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
Compiler

Compiled 667 to 339 computations (49.2% saved)

regimes57.0ms (0.6%)

Counts
40 → 1
Calls
Call 1
Inputs
v
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v)
(*.f64 e (/.f64 1 (/.f64 (+.f64 1 e) v)))
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v)))
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v)))
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
(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 e (/.f64 1 (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 v) e)))
(*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(*.f64 e (/.f64 1 (/.f64 (+.f64 e 1) (sin.f64 v))))
(*.f64 (-.f64 (+.f64 1 (/.f64 e (+.f64 e 1))) 1) (sin.f64 v))
(/.f64 (*.f64 e (-.f64 (+.f64 1 (sin.f64 v)) 1)) (+.f64 1 e))
(pow.f64 (/.f64 (/.f64 1 (sin.f64 v)) e) -1)
(pow.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) -1)
(*.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))))
Outputs
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
Calls

2 calls:

24.0ms
v
23.0ms
e
Results
ErrorSegmentsBranch
0.2b1e
0.2b1v
Compiler

Compiled 285 to 147 computations (48.4% saved)

regimes58.0ms (0.6%)

Counts
38 → 1
Calls
Call 1
Inputs
v
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v)
(*.f64 e (/.f64 1 (/.f64 (+.f64 1 e) v)))
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v)))
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v)))
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
(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 e (/.f64 1 (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 v) e)))
(*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(*.f64 e (/.f64 1 (/.f64 (+.f64 e 1) (sin.f64 v))))
(*.f64 (-.f64 (+.f64 1 (/.f64 e (+.f64 e 1))) 1) (sin.f64 v))
(/.f64 (*.f64 e (-.f64 (+.f64 1 (sin.f64 v)) 1)) (+.f64 1 e))
(pow.f64 (/.f64 (/.f64 1 (sin.f64 v)) e) -1)
(pow.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) -1)
Outputs
(*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))
Calls

2 calls:

24.0ms
v
22.0ms
e
Results
ErrorSegmentsBranch
0.8b1e
0.8b1v
Compiler

Compiled 263 to 137 computations (47.9% saved)

regimes64.0ms (0.7%)

Counts
31 → 1
Calls
Call 1
Inputs
v
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v)
(*.f64 e (/.f64 1 (/.f64 (+.f64 1 e) v)))
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v)))
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v)))
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
(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 e (/.f64 1 (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 v) e)))
Outputs
(*.f64 (sin.f64 v) e)
Calls

2 calls:

34.0ms
e
19.0ms
v
Results
ErrorSegmentsBranch
1.3b1e
1.3b1v
Compiler

Compiled 197 to 98 computations (50.3% saved)

regimes96.0ms (1%)

Counts
24 → 1
Calls
Call 1
Inputs
v
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v)
(*.f64 e (/.f64 1 (/.f64 (+.f64 1 e) v)))
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v)))
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v)))
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
(sin.f64 v)
(sin.f64 v)
Outputs
(*.f64 (/.f64 e (+.f64 e 1)) v)
Calls

2 calls:

66.0ms
v
20.0ms
e
Results
ErrorSegmentsBranch
33.7b1e
33.7b1v
Compiler

Compiled 161 to 87 computations (46% saved)

regimes18.0ms (0.2%)

Counts
8 → 1
Calls
Call 1
Inputs
v
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
Outputs
(*.f64 v e)
Calls

2 calls:

8.0ms
v
6.0ms
e
Results
ErrorSegmentsBranch
34.3b1e
34.3b1v
Compiler

Compiled 41 to 20 computations (51.2% saved)

regimes8.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
v
v
Outputs
v
Calls

2 calls:

3.0ms
e
3.0ms
v
Results
ErrorSegmentsBranch
61.2b1e
61.2b1v
Compiler

Compiled 10 to 6 computations (40% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
6×*-commutative_binary64
2×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02067
12967
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 v e)
v
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.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 (/.f64 e (+.f64 e 1)) (sin.f64 v))
(*.f64 (sin.f64 v) (/.f64 e (+.f64 e 1)))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 v (/.f64 e (+.f64 e 1)))
(*.f64 v e)
(*.f64 e v)
v
Compiler

Compiled 59 to 40 computations (32.2% saved)

soundness0.0ms (0%)

end53.0ms (0.5%)

Compiler

Compiled 47 to 22 computations (53.2% saved)

Profiling

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