Details

Time bar (total: 7.0s)

analyze11.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%25%75%0
0%25%75%1
12.5%12.5%75%2
12.5%12.5%75%3
18.7%6.2%75%4
21.8%3.1%75%5
23.4%1.6%75%6
23.4%1.6%75%7
24.2%0.8%75%8
24.2%0.8%75%9
24.6%0.4%75%10
24.6%0.4%75%11
24.8%0.2%75%12
Compiler

Compiled 20 to 14 computations (30% saved)

sample2.4s (35%)

Results
1.1s2019×body1024valid
977.0ms5172×body256valid
359.0ms1055×body512valid
9.0ms10×body2048valid

preprocess20.0ms (0.3%)

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)

simplify7.0ms (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)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
▶0.1b
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
Compiler

Compiled 25 to 17 computations (32% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 32 to 14 computations (56.3% saved)

series13.0ms (0.2%)

Counts
3 → 52
Calls

15 calls:

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

rewrite73.0ms (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))
(cos.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 (cos.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 v)) (pow.f64 (cbrt.f64 (cos.f64 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 v)) 2) (cbrt.f64 (cos.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 v)) (sqrt.f64 (cos.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 v)))))))

simplify70.0ms (1%)

Algorithm
1×egg-herbie
Rules
924×fma-def_binary64
764×associate-*l*_binary64
695×associate-*r*_binary64
256×associate-+l+_binary64
248×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01661952
15111868
217841828
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))))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 v 2)))
(+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 v 4)) (*.f64 -1/2 (pow.f64 v 2))))
(+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 v 4)) (+.f64 (*.f64 -1/2 (pow.f64 v 2)) (*.f64 -1/720 (pow.f64 v 6)))))
Outputs
(*.f64 (sin.f64 v) e)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e))
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (*.f64 (sin.f64 v) e))
(-.f64 (*.f64 (sin.f64 v) e) (*.f64 (*.f64 e e) (*.f64 (sin.f64 v) (cos.f64 v))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(-.f64 (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (*.f64 (*.f64 e e) (*.f64 (sin.f64 v) (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) (*.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 e (pow.f64 (cos.f64 v) 2))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (*.f64 e e))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (*.f64 e e)) (/.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) (*.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 e (pow.f64 (cos.f64 v) 2))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (*.f64 e e))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (*.f64 e e)) (/.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 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/2)) (*.f64 (/.f64 v (+.f64 e 1)) e))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2)) (*.f64 (/.f64 e (+.f64 e 1)) v))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 -1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 (*.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 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/2)) (fma.f64 (pow.f64 v 5) (-.f64 (/.f64 (*.f64 e 1/120) (+.f64 e 1)) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (*.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/2)) (+.f64 e 1)) e) (/.f64 (*.f64 (*.f64 e e) 1/24) (pow.f64 (+.f64 e 1) 2)))) (*.f64 (/.f64 v (+.f64 e 1)) e)))
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(+.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 (*.f64 (sin.f64 v) (cos.f64 v)) e)))))
(+.f64 (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)) 1) (sin.f64 v)) (*.f64 e (*.f64 (sin.f64 v) (cos.f64 v)))) (*.f64 (sin.f64 v) (neg.f64 (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3)))))
(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 (sin.f64 v) (*.f64 e (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (neg.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))))
(-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (/.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 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4)))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (neg.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))))
(-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (/.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 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 v 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 v v)))
(fma.f64 -1/2 (*.f64 v v) 1)
(fma.f64 v (*.f64 v -1/2) 1)
(+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 v 4)) (*.f64 -1/2 (pow.f64 v 2))))
(+.f64 1 (fma.f64 1/24 (pow.f64 v 4) (*.f64 -1/2 (*.f64 v v))))
(+.f64 (fma.f64 -1/2 (*.f64 v v) 1) (*.f64 1/24 (pow.f64 v 4)))
(fma.f64 v (*.f64 v -1/2) (fma.f64 1/24 (pow.f64 v 4) 1))
(+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 v 4)) (+.f64 (*.f64 -1/2 (pow.f64 v 2)) (*.f64 -1/720 (pow.f64 v 6)))))
(+.f64 1 (fma.f64 1/24 (pow.f64 v 4) (fma.f64 -1/2 (*.f64 v v) (*.f64 -1/720 (pow.f64 v 6)))))
(+.f64 1 (fma.f64 v (*.f64 v -1/2) (fma.f64 -1/720 (pow.f64 v 6) (*.f64 1/24 (pow.f64 v 4)))))

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 34 to 12 computations (64.7% saved)

series11.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

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

rewrite75.0ms (1.1%)

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))))))

simplify86.0ms (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)))
(fma.f64 e (fma.f64 -1/720 (pow.f64 v 6) (*.f64 1/24 (pow.f64 v 4))) (*.f64 e (fma.f64 -1/2 (*.f64 v v) 1)))
(*.f64 e (+.f64 (fma.f64 -1/2 (*.f64 v v) 1) (fma.f64 -1/720 (pow.f64 v 6) (*.f64 1/24 (pow.f64 v 4)))))
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
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(+.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))

eval152.0ms (2.2%)

Compiler

Compiled 6305 to 3512 computations (44.3% saved)

prune64.0ms (0.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New28011291
Fresh000
Picked011
Done101
Total28112293
Error
0.0b
Counts
293 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
27.3b
(/.f64 (*.f64 v e) (+.f64 1 e))
0.5b
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
▶0.9b
(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e) -1)
▶0.2b
(*.f64 e (log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
▶0.3b
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
▶27.3b
(*.f64 e (/.f64 v (+.f64 e 1)))
27.2b
(/.f64 (pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2) (+.f64 1 (*.f64 e (cos.f64 v))))
✓0.1b
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
▶1.7b
(*.f64 (sin.f64 v) e)
0.7b
(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))
9.3b
(*.f64 e (cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3)))
1.0b
(*.f64 e (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3))
Compiler

Compiled 281 to 199 computations (29.2% saved)

localize45.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiled 53 to 25 computations (52.8% saved)

series21.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
v
@0
(expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
3.0ms
e
@inf
(expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
2.0ms
e
@0
(expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
2.0ms
e
@-inf
(expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
1.0ms
v
@inf
(expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))

rewrite94.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
976×pow1_binary64
896×expm1-log1p-u_binary64
895×add-log-exp_binary64
895×log1p-expm1-u_binary64
97×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01141
119841
2238441
Stop Event
1×node limit
Counts
3 → 79
Calls
Call 1
Inputs
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))
(*.f64 e (log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
(expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
Outputs
((#(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))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 2)) (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) (/.f64 1 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 v)) (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 v)) (/.f64 1 (neg.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 v)) 1) (/.f64 (sqrt.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (/.f64 (sin.f64 v) (cbrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 v)) (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (/.f64 (sqrt.f64 (sin.f64 v)) (cbrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 e (cos.f64 v) 1))) (/.f64 (sin.f64 v) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))) (/.f64 (cbrt.f64 (sin.f64 v)) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (/.f64 (fma.f64 e (cos.f64 v) 1) (cbrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) 1) (sqrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 v)) (neg.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 v) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))) (sqrt.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 v) 1) (fma.f64 e (cos.f64 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 v) (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (cbrt.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 v) (neg.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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 exp.f64 (log.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 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 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 v)) e) (neg.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (neg.f64 (sin.f64 v))) (neg.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 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))) 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 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 (exp.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 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 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 (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 +.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2)) (cbrt.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) (sqrt.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3) 1) (+.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) (+.f64 1 (*.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 1) (+.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.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 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.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 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))))

simplify122.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
701×associate-/r*_binary64
591×associate-/l*_binary64
337×distribute-rgt-in_binary64
325×distribute-lft-in_binary64
256×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02543279
18383087
233253023
Stop Event
1×node limit
Counts
151 → 152
Calls
Call 1
Inputs
(/.f64 v (+.f64 1 e))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e)))
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e))))
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 7) (+.f64 (*.f64 -1/720 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2))))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/5040 (/.f64 1 (+.f64 1 e)))))))) (/.f64 v (+.f64 1 e)))))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(*.f64 (sin.f64 v) e)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (*.f64 v e) (+.f64 1 e)))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (+.f64 (*.f64 (pow.f64 v 7) (-.f64 (*.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (*.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 v (+.f64 1 e))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2))) (/.f64 v (+.f64 1 e)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e))))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 1 e) 3))))) (/.f64 v (+.f64 1 e))))
(+.f64 (*.f64 (pow.f64 v 4) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) (+.f64 1 e))) (*.f64 1/24 (/.f64 1 (pow.f64 (+.f64 1 e) 4))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e))))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 1 e) 3))))) (/.f64 v (+.f64 1 e)))))
(-.f64 (exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) 1)
(-.f64 (exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) 1)
(-.f64 (exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) 1)
(-.f64 (exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) 1)
(-.f64 (exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) 1)
(-.f64 (exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) 1)
(-.f64 (exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) 1)
(-.f64 (exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))) 1)
(-.f64 (exp.f64 (sin.f64 v)) 1)
(-.f64 (+.f64 (exp.f64 (sin.f64 v)) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (exp.f64 (sin.f64 v)) (*.f64 (cos.f64 v) e))))) 1)
(-.f64 (+.f64 (exp.f64 (sin.f64 v)) (+.f64 (*.f64 (exp.f64 (sin.f64 v)) (*.f64 (+.f64 (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2)))) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (exp.f64 (sin.f64 v)) (*.f64 (cos.f64 v) e)))))) 1)
(-.f64 (+.f64 (exp.f64 (sin.f64 v)) (+.f64 (*.f64 (exp.f64 (sin.f64 v)) (*.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))) (*.f64 -1/6 (*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))))) (pow.f64 e 3))) (+.f64 (*.f64 (exp.f64 (sin.f64 v)) (*.f64 (+.f64 (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2)))) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (exp.f64 (sin.f64 v)) (*.f64 (cos.f64 v) e))))))) 1)
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (sin.f64 v) 4) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 v) 3) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 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 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))) (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))))) (pow.f64 e 3))) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (sin.f64 v) 4) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 v) 3) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))) (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))))) (pow.f64 e 3))) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))))))))))))
Outputs
(/.f64 v (+.f64 1 e))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e)))
(fma.f64 -1 (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))) (/.f64 v (+.f64 1 e)))
(-.f64 (/.f64 v (+.f64 1 e)) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))))
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e))))
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) (*.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24))) (fma.f64 -1 (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))) (/.f64 v (+.f64 1 e))))
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 1/2 (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (+.f64 1 e)) e) (/.f64 1/24 (/.f64 (pow.f64 (+.f64 1 e) 2) e)))) (-.f64 (/.f64 v (+.f64 1 e)) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))))))
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (/.f64 (+.f64 1 e) e) 1/2)))) (-.f64 (/.f64 v (+.f64 1 e)) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))))))
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 7) (+.f64 (*.f64 -1/720 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2))))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/5040 (/.f64 1 (+.f64 1 e)))))))) (/.f64 v (+.f64 1 e)))))
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) (*.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24))) (fma.f64 -1 (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))) (fma.f64 -1 (*.f64 (pow.f64 v 7) (fma.f64 -1/720 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) (*.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24))) (/.f64 (+.f64 1 e) e)) (fma.f64 -1/24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) (/.f64 1/5040 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e)))))
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 1/2 (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (+.f64 1 e)) e) (/.f64 1/24 (/.f64 (pow.f64 (+.f64 1 e) 2) e)))) (-.f64 (-.f64 (/.f64 v (+.f64 1 e)) (*.f64 (pow.f64 v 7) (fma.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) -1/720 (fma.f64 -1/2 (/.f64 e (/.f64 (+.f64 1 e) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 1/2 (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (+.f64 1 e)) e) (/.f64 1/24 (/.f64 (pow.f64 (+.f64 1 e) 2) e)))))) (fma.f64 (*.f64 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (+.f64 1 e)) e) -1/24 (/.f64 1/5040 (+.f64 1 e))))))) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))))))
(-.f64 (fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (/.f64 (+.f64 1 e) e) 1/2)))) (-.f64 (/.f64 v (+.f64 1 e)) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))))) (*.f64 (pow.f64 v 7) (fma.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) -1/720 (fma.f64 -1/2 (*.f64 (/.f64 e (+.f64 1 e)) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (/.f64 (+.f64 1 e) e) 1/2))))) (fma.f64 (*.f64 (/.f64 e (+.f64 1 e)) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))) -1/24 (/.f64 1/5040 (+.f64 1 e)))))))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))
(+.f64 (sin.f64 v) (neg.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(fma.f64 (neg.f64 (sin.f64 v)) (*.f64 e (cos.f64 v)) (sin.f64 v))
(-.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e (sin.f64 v))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))))
(+.f64 (sin.f64 v) (fma.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)) (neg.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))))))
(-.f64 (*.f64 (+.f64 (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))) 1) (sin.f64 v)) (*.f64 e (*.f64 (sin.f64 v) (cos.f64 v))))
(*.f64 (sin.f64 v) (-.f64 (+.f64 (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))) 1) (*.f64 e (cos.f64 v))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))))
(+.f64 (sin.f64 v) (fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (fma.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)) (neg.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))))
(+.f64 (sin.f64 v) (-.f64 (-.f64 (*.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (*.f64 e (*.f64 (sin.f64 v) (cos.f64 v)))) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(-.f64 (*.f64 (sin.f64 v) (-.f64 (+.f64 (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))) 1) (*.f64 e (cos.f64 v)))) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))
(/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e)
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
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(/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (/.f64 (/.f64 (sin.f64 v) e) (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (fma.f64 -1 (/.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 3)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))))) (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (/.f64 (sin.f64 v) (cos.f64 v)) 3) (pow.f64 e 3)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 3)) (/.f64 (/.f64 (sin.f64 v) e) (*.f64 e (pow.f64 (cos.f64 v) 2))))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (sin.f64 v) 4) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 v) 3) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))))))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (fma.f64 1/24 (/.f64 (pow.f64 (sin.f64 v) 4) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 v) 3) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (fma.f64 -1 (/.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))))))))))
(+.f64 (fma.f64 1/24 (/.f64 (pow.f64 (sin.f64 v) 4) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)))) (fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 v) 3) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (-.f64 (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 3)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))))) (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))) (*.f64 3/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))))
(+.f64 (fma.f64 1/24 (/.f64 (pow.f64 (sin.f64 v) 4) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e)) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 v) 3) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (/.f64 (sin.f64 v) (cos.f64 v)) 3) (pow.f64 e 3)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))))) (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))) (/.f64 (/.f64 (sin.f64 v) e) (*.f64 e (pow.f64 (cos.f64 v) 2)))))) (*.f64 3/2 (/.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 e 4)) (pow.f64 (cos.f64 v) 4))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))
(/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (/.f64 (/.f64 (sin.f64 v) e) (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))) (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))))) (pow.f64 e 3))) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (*.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (fma.f64 -1 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))))) (pow.f64 e 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)))))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)))) (pow.f64 e 3))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e)) (+.f64 (/.f64 (/.f64 (sin.f64 v) e) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (-.f64 (*.f64 -1/6 (pow.f64 (/.f64 (sin.f64 v) (cos.f64 v)) 3)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)))) (pow.f64 e 3))))
(+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (sin.f64 v) 4) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (sin.f64 v) 3) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))) (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))))) (pow.f64 e 3))) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))))))))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (fma.f64 1/24 (/.f64 (pow.f64 (sin.f64 v) 4) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1/2 (/.f64 (pow.f64 (sin.f64 v) 3) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (fma.f64 -1 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))))) (pow.f64 e 3)) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))))))))))))
(+.f64 (fma.f64 1/24 (/.f64 (pow.f64 (sin.f64 v) 4) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)))) (-.f64 (-.f64 (/.f64 (/.f64 (*.f64 -1/2 (pow.f64 (sin.f64 v) 3)) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 4)) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)))) (pow.f64 e 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))))) (*.f64 3/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))))
(+.f64 (fma.f64 1/24 (/.f64 (pow.f64 (sin.f64 v) 4) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e)) (-.f64 (-.f64 (*.f64 (/.f64 -1/2 (pow.f64 e 4)) (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 4))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (-.f64 (*.f64 -1/6 (pow.f64 (/.f64 (sin.f64 v) (cos.f64 v)) 3)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)))) (pow.f64 e 3)))) (/.f64 (/.f64 (sin.f64 v) e) (*.f64 e (pow.f64 (cos.f64 v) 2)))))) (*.f64 3/2 (/.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 e 4)) (pow.f64 (cos.f64 v) 4))))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 12 computations (40% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
v
@inf
(/.f64 v (+.f64 e 1))
1.0ms
v
@0
(*.f64 e (/.f64 v (+.f64 e 1)))
1.0ms
v
@0
(/.f64 v (+.f64 e 1))
1.0ms
v
@-inf
(/.f64 v (+.f64 e 1))
0.0ms
v
@-inf
(*.f64 e (/.f64 v (+.f64 e 1)))

rewrite64.0ms (0.9%)

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 v (+.f64 e 1))
(*.f64 e (/.f64 v (+.f64 e 1)))
Outputs
((#(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)))))))
((#(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 v e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 v e) (+.f64 e 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 v e)) (+.f64 -1 (neg.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 v e) 1) (+.f64 e 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 v e) (pow.f64 (cbrt.f64 (+.f64 e 1)) 2)) (cbrt.f64 (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 v e) (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 v e)) (log1p.f64 e)))))))

simplify62.0ms (0.9%)

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
103 → 85
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)))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (sin.f64 v) e)
Compiler

Compiled 10 to 4 computations (60% saved)

series2.0ms (0%)

Counts
1 → 4
Calls

6 calls:

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

rewrite50.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
462×pow1_binary64
440×add-sqr-sqrt_binary64
435×*-un-lft-identity_binary64
422×add-log-exp_binary64
422×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
1976
211466
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.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 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)))))))

simplify105.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1155×fma-def_binary64
690×unswap-sqr_binary64
654×sqr-pow_binary64
596×cube-prod_binary64
433×fabs-mul_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02576
17073
219162
358260
4156058
5241358
6262058
7306858
8394758
9409058
10431758
11479958
12539558
13626858
14737958
Stop Event
1×node limit
Counts
15 → 18
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 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (+.f64 (*.f64 v e) (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
Outputs
(*.f64 v e)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (*.f64 v e))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (*.f64 v e))
(*.f64 e (+.f64 v (*.f64 -1/6 (pow.f64 v 3))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (*.f64 v e)))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (*.f64 e (+.f64 v (*.f64 1/120 (pow.f64 v 5)))))
(*.f64 e (+.f64 (fma.f64 -1/6 (pow.f64 v 3) v) (*.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 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (+.f64 (*.f64 v e) (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (fma.f64 v e (*.f64 -1/5040 (*.f64 e (pow.f64 v 7))))))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (*.f64 e (+.f64 (*.f64 -1/5040 (pow.f64 v 7)) v))))
(*.f64 e (+.f64 (fma.f64 -1/6 (pow.f64 v 3) (*.f64 1/120 (pow.f64 v 5))) (fma.f64 -1/5040 (pow.f64 v 7) v)))
(*.f64 e (+.f64 (*.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 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 e (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) (fma.f64 -1/6 (pow.f64 v 3) v))))
(*.f64 e (fma.f64 -1/5040 (pow.f64 v 7) (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) v))))

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 32 to 14 computations (56.3% saved)

series12.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
v
@0
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
3.0ms
e
@inf
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
1.0ms
v
@inf
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
1.0ms
e
@-inf
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
1.0ms
e
@0
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))

rewrite67.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
497×log-prod_binary64
396×exp-prod_binary64
306×prod-exp_binary64
266×pow-prod-down_binary64
248×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
118427
2247927
Stop Event
1×node limit
Counts
2 → 116
Calls
Call 1
Inputs
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
(/.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 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 e) 2) (*.f64 (cbrt.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) (pow.f64 (cbrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2) (cbrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) (sqrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 e) (/.f64 1 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 e) 2) 1) (/.f64 (cbrt.f64 e) (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 e) 1) (/.f64 (sqrt.f64 e) (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 e (cos.f64 v) 1)) (/.f64 e (/.f64 1 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 e) 2) (fma.f64 e (cos.f64 v) 1)) (/.f64 (cbrt.f64 e) (/.f64 1 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 e) (fma.f64 e (cos.f64 v) 1)) (/.f64 (sqrt.f64 e) (/.f64 1 (sin.f64 v))))))) (#(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)) (cbrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 e) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 2)) (/.f64 (sqrt.f64 e) (cbrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) -1/2) (/.f64 e (sqrt.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) (sqrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) (/.f64 (cbrt.f64 e) (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 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (neg.f64 (fma.f64 e (cos.f64 v) 1))) (neg.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) 1) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (pow.f64 (cbrt.f64 (sin.f64 v)) 2)) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2) 1/2)))) (#(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 pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 e 3) (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 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) 2)) (cbrt.f64 (log.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))) (sqrt.f64 (log.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 e (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (*.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 (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 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 e) 1) (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 e) (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 e) 1) (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 e) 1) (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 v)) 1) (log.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) (*.f64 (log.f64 e) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 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(log1p.f64 (*.f64 e (cos.f64 v))) 1)))))))

simplify83.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
901×fma-neg_binary64
564×fma-def_binary64
449×unswap-sqr_binary64
410×associate-*l*_binary64
388×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01261526
13861447
212311385
358301363
Stop Event
1×node limit
Counts
164 → 155
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 (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 (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) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 3))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 3)) (+.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) (/.f64 (sin.f64 v) (*.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 (/.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) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 3))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 3)) (+.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(*.f64 (/.f64 e (+.f64 e 1)) v)
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (*.f64 v e) (+.f64 1 e)))
(fma.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 v (/.f64 (+.f64 e 1) e)))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (*.f64 (/.f64 v (+.f64 e 1)) e))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2)) (*.f64 (/.f64 e (+.f64 e 1)) v))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 v (/.f64 (+.f64 e 1) e))) (*.f64 (pow.f64 v 5) (-.f64 (/.f64 (*.f64 1/120 e) (+.f64 e 1)) (fma.f64 1/24 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) (/.f64 (*.f64 -1/2 (*.f64 e (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))))) (+.f64 e 1))))))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (fma.f64 (pow.f64 v 5) (-.f64 (*.f64 (/.f64 e (+.f64 e 1)) 1/120) (fma.f64 -1/2 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (/.f64 (+.f64 e 1) e)) (/.f64 (*.f64 (*.f64 e e) 1/24) (pow.f64 (+.f64 e 1) 2)))) (*.f64 (/.f64 v (+.f64 e 1)) e)))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2)) (fma.f64 (pow.f64 v 5) (+.f64 (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) -1/24)) (/.f64 (*.f64 1/2 e) (/.f64 (+.f64 e 1) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2))))) (*.f64 (/.f64 e (+.f64 e 1)) v)))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2)) (fma.f64 (pow.f64 v 5) (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (fma.f64 (-.f64 (/.f64 -1/6 (/.f64 (pow.f64 (+.f64 e 1) 2) (*.f64 e e))) (/.f64 -1/2 (pow.f64 (/.f64 (+.f64 e 1) e) 3))) 1/2 (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) -1/24))) (*.f64 (/.f64 e (+.f64 e 1)) v)))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (+.f64 (*.f64 (pow.f64 v 7) (-.f64 (*.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (*.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 v (/.f64 (+.f64 e 1) e))) (fma.f64 (pow.f64 v 7) (-.f64 (*.f64 (/.f64 e (+.f64 e 1)) -1/5040) (fma.f64 1/24 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 (+.f64 e 1) e)) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 (*.f64 1/120 e) (+.f64 e 1)) (fma.f64 1/24 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) (/.f64 (*.f64 -1/2 (*.f64 e (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))))) (+.f64 e 1)))) (/.f64 (+.f64 e 1) e)) (*.f64 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) -1/720)))) (*.f64 (pow.f64 v 5) (-.f64 (/.f64 (*.f64 1/120 e) (+.f64 e 1)) (fma.f64 1/24 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) (/.f64 (*.f64 -1/2 (*.f64 e (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))))) (+.f64 e 1)))))))
(+.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 (*.f64 e -1/5040) (+.f64 e 1)) (fma.f64 1/24 (/.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)) (fma.f64 -1/2 (/.f64 (-.f64 (*.f64 (/.f64 e (+.f64 e 1)) 1/120) (fma.f64 -1/2 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (/.f64 (+.f64 e 1) e)) (/.f64 (*.f64 (*.f64 e e) 1/24) (pow.f64 (+.f64 e 1) 2)))) (/.f64 (+.f64 e 1) e)) (*.f64 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) -1/720)))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 (/.f64 e (+.f64 e 1)) 1/120) (fma.f64 -1/2 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (/.f64 (+.f64 e 1) e)) (/.f64 (*.f64 (*.f64 e e) 1/24) (pow.f64 (+.f64 e 1) 2)))))))
(fma.f64 (/.f64 v (+.f64 e 1)) e (fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2)) (fma.f64 (pow.f64 v 7) (-.f64 (*.f64 (/.f64 e (+.f64 e 1)) -1/5040) (fma.f64 -1/2 (*.f64 (/.f64 e (+.f64 e 1)) (+.f64 (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) -1/24)) (/.f64 (*.f64 1/2 e) (/.f64 (+.f64 e 1) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2)))))) (fma.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) -1/720 (*.f64 1/24 (*.f64 (/.f64 e (+.f64 e 1)) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2))))))) (*.f64 (pow.f64 v 5) (+.f64 (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) -1/24)) (/.f64 (*.f64 1/2 e) (/.f64 (+.f64 e 1) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2)))))))))
(fma.f64 (/.f64 v (+.f64 e 1)) e (fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) 1/2)) (fma.f64 (pow.f64 v 7) (-.f64 (*.f64 (/.f64 e (+.f64 e 1)) -1/5040) (fma.f64 -1/2 (*.f64 (/.f64 e (+.f64 e 1)) (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (fma.f64 (-.f64 (/.f64 -1/6 (/.f64 (pow.f64 (+.f64 e 1) 2) (*.f64 e e))) (/.f64 -1/2 (pow.f64 (/.f64 (+.f64 e 1) e) 3))) 1/2 (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) -1/24)))) (fma.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) -1/720 (*.f64 1/24 (-.f64 (/.f64 -1/6 (/.f64 (pow.f64 (+.f64 e 1) 2) (*.f64 e e))) (/.f64 -1/2 (pow.f64 (/.f64 (+.f64 e 1) e) 3))))))) (*.f64 (pow.f64 v 5) (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (fma.f64 (-.f64 (/.f64 -1/6 (/.f64 (pow.f64 (+.f64 e 1) 2) (*.f64 e e))) (/.f64 -1/2 (pow.f64 (/.f64 (+.f64 e 1) e) 3))) 1/2 (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) -1/24)))))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) e))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (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 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 e (/.f64 (sin.f64 v) (cos.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 e (/.f64 (sin.f64 v) (cos.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 e v) (/.f64 1 v)))
(+.f64 (/.f64 1 v) (fma.f64 v (fma.f64 e -1/2 (+.f64 1/6 (*.f64 e 1/6))) (/.f64 e v)))
(+.f64 (/.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 (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 (/.f64 e v) (/.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 (+.f64 e 1) 1/120 (*.f64 -1/6 (fma.f64 e -1/2 (+.f64 1/6 (*.f64 e 1/6)))))) (/.f64 1 v)) (fma.f64 v (fma.f64 e -1/2 (+.f64 1/6 (*.f64 e 1/6))) (/.f64 e v)))
(+.f64 (/.f64 e v) (fma.f64 v (fma.f64 e -1/2 (fma.f64 e 1/6 1/6)) (fma.f64 (pow.f64 v 3) (fma.f64 e 1/24 (-.f64 (*.f64 (fma.f64 e -1/2 (fma.f64 e 1/6 1/6)) 1/6) (fma.f64 e 1/120 1/120))) (/.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 (*.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 (/.f64 e v) (/.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 (+.f64 (/.f64 1 v) (fma.f64 v (fma.f64 e -1/2 (+.f64 1/6 (*.f64 e 1/6))) (/.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 (+.f64 e 1) 1/120 (*.f64 -1/6 (fma.f64 e -1/2 (+.f64 1/6 (*.f64 e 1/6)))))) (*.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 (+.f64 e 1) 1/120 (*.f64 -1/6 (fma.f64 e -1/2 (+.f64 1/6 (*.f64 e 1/6)))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (fma.f64 e 1/24 (-.f64 (*.f64 (fma.f64 e -1/2 (fma.f64 e 1/6 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 (fma.f64 e 1/24 (-.f64 (*.f64 (fma.f64 e -1/2 (fma.f64 e 1/6 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))

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cos.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)
✓0.8b
(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)

series14.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
5.0ms
v
@-inf
(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e) -1)
3.0ms
v
@0
(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e) -1)
1.0ms
v
@inf
(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e) -1)
1.0ms
v
@0
(/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e)
1.0ms
e
@-inf
(/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e)

rewrite77.0ms (1.1%)

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
01133
122630
2294230
Stop Event
1×node limit
Counts
2 → 116
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)
Outputs
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(#(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 (cbrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v)))) 2)))) (#(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 (sqrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) 3) (pow.f64 e 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))) 2)) (cbrt.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v)))))) (sqrt.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) (neg.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) 3) (pow.f64 e 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))) 2))))) (#(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 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 1) -1))))))

simplify60.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
716×associate-*l*_binary64
695×fma-def_binary64
548×times-frac_binary64
388×distribute-rgt-in_binary64
387×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01251699
13951573
216471432
Stop Event
1×node limit
Counts
164 → 153
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))
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 (*.f64 (sin.f64 v) (cos.f64 v)) (*.f64 e e)) (*.f64 (sin.f64 v) e))
(-.f64 (*.f64 (sin.f64 v) e) (*.f64 (*.f64 (sin.f64 v) (*.f64 e e)) (cos.f64 v)))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(fma.f64 -1 (*.f64 (*.f64 (sin.f64 v) (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 (*.f64 (sin.f64 v) (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 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 3)) (/.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) 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 (/.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)))
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(fma.f64 (pow.f64 v 3) (-.f64 1/24 (+.f64 1/12 (*.f64 (/.f64 (+.f64 e 1) e) -7/360))) (+.f64 (/.f64 1 v) (fma.f64 v (fma.f64 -1 (/.f64 (fma.f64 e -1/6 -1/6) e) -1/2) (/.f64 (/.f64 1 v) e))))
(+.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)))))))
(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 (/.f64 1 v) (/.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 (+.f64 e 1) e) -1/5040)))))))))
(+.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 (fma.f64 -1 (/.f64 (fma.f64 e -1/6 -1/6) e) -1/2) (/.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))

eval335.0ms (4.8%)

Compiler

Compiled 16233 to 9501 computations (41.5% saved)

prune140.0ms (2%)

Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New71320733
Fresh516
Picked101
Done235
Total72124745
Error
0b
Counts
745 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
27.3b
(/.f64 (*.f64 v e) (+.f64 e 1))
28.0b
(*.f64 v (*.f64 (-.f64 1 e) e))
▶0.3b
(/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) (/.f64 1 e))
▶27.9b
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
1.9b
(/.f64 e (/.f64 1 (sin.f64 v)))
0.4b
(/.f64 (sqrt.f64 e) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) (sqrt.f64 e)))
46.4b
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
46.4b
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
28.0b
(pow.f64 (/.f64 (/.f64 (+.f64 e 1) v) e) -1)
33.0b
(/.f64 e (pow.f64 (sqrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 2))
1.0b
(*.f64 e (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3))
19.9b
(*.f64 e (log1p.f64 (-.f64 (exp.f64 (sin.f64 v)) 1)))
62.7b
(-.f64 v (/.f64 v e))
26.9b
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
2.5b
(pow.f64 (/.f64 (/.f64 1 (sin.f64 v)) e) -1)
1.8b
(*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v))))
▶28.5b
(*.f64 v e)
✓0.1b
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
✓1.7b
(*.f64 (sin.f64 v) e)
▶28.0b
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
✓27.3b
(*.f64 e (/.f64 v (+.f64 e 1)))
▶46.0b
(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)
27.4b
(/.f64 e (/.f64 (+.f64 e 1) v))
Compiler

Compiled 498 to 357 computations (28.3% saved)

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 v)
0.0b
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
✓0.3b
(/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) (/.f64 1 e))
Compiler

Compiled 37 to 18 computations (51.4% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite65.0ms (0.9%)

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
01018
121215
2289215
Stop Event
1×node limit
Counts
1 → 62
Calls
Call 1
Inputs
(/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) (/.f64 1 e))
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 (sin.f64 v) (*.f64 (/.f64 1 (fma.f64 e (cos.f64 v) 1)) e))))) (#(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 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)))) (#(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 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 2)) (*.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) (pow.f64 (cbrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2) (cbrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) (*.f64 (sqrt.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 (sqrt.f64 e) (/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) (pow.f64 e -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) 1)) (/.f64 1 (/.f64 -1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (/.f64 1 e)) (/.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)) (/.f64 1 e)) (/.f64 (sqrt.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 (/.f64 1 (fma.f64 e (cos.f64 v) 1)) (/.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 2)) 1) (/.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) (/.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1) (/.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) (/.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 v) (cbrt.f64 (pow.f64 e -2))) (/.f64 (/.f64 1 (fma.f64 e (cos.f64 v) 1)) (/.f64 1 (cbrt.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 e -2))) (/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) (/.f64 1 (cbrt.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 2)) (cbrt.f64 (pow.f64 e -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 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) (cbrt.f64 (pow.f64 e -2))) (/.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) (/.f64 1 (cbrt.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 v) (pow.f64 e -1/2)) (/.f64 (/.f64 1 (fma.f64 e (cos.f64 v) 1)) (pow.f64 e -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 2)) (pow.f64 e -1/2)) (/.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) (pow.f64 e -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) -1) (neg.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) (pow.f64 (cbrt.f64 e) 2)) (cbrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) (sqrt.f64 e)) (sqrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2) 1/2)))) (#(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 pow.f64 (*.f64 (/.f64 (/.f64 1 e) (sin.f64 v)) (fma.f64 e (cos.f64 v) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3) (pow.f64 e -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) (/.f64 1 e)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) e) (sin.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 (/.f64 1 e) (sin.f64 v)) (fma.f64 e (cos.f64 v) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 e 3) (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 (*.f64 (cbrt.f64 e) (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 e) (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3) (pow.f64 e 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) 2)) (cbrt.f64 (log.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))) (sqrt.f64 (log.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) (/.f64 -1 e)))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (*.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 (/.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 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 (log.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 exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.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 (log.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 1) 1))))))

simplify60.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
753×fma-neg_binary64
445×unswap-sqr_binary64
422×fma-def_binary64
350×associate-*l*_binary64
349×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
091989
1276942
2885922
34246860
Stop Event
1×node limit
Counts
86 → 87
Calls
Call 1
Inputs
(/.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 (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)))))
Outputs
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.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 (*.f64 -1/6 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 -1/6 (/.f64 e (+.f64 e 1)) (*.f64 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) 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 e (+.f64 e 1)))) (/.f64 v (/.f64 (+.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)))) (*.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 (*.f64 -1/6 e) (+.f64 e 1)) (/.f64 (*.f64 -1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (/.f64 v (/.f64 (+.f64 e 1) e))) (*.f64 (pow.f64 v 5) (-.f64 (/.f64 (*.f64 1/120 e) (+.f64 e 1)) (fma.f64 1/24 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 (*.f64 -1/6 e) (+.f64 e 1)) (/.f64 (*.f64 -1/2 (*.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 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2)) (fma.f64 (pow.f64 v 5) (-.f64 (*.f64 (/.f64 e (+.f64 e 1)) 1/120) (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/24 (/.f64 (*.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (*.f64 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2)) -1/2) (/.f64 (+.f64 e 1) e)))) (/.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 e (+.f64 e 1)))) (fma.f64 (pow.f64 v 5) (+.f64 (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (*.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) -1/24)) (*.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/2 (*.f64 -1/6 (/.f64 e (+.f64 e 1)))) (+.f64 e 1))) 1/2)) (/.f64 v (/.f64 (+.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 5) (-.f64 (*.f64 (/.f64 e (+.f64 e 1)) (-.f64 1/120 (*.f64 1/24 (/.f64 e (+.f64 e 1))))) (/.f64 (*.f64 (/.f64 e (+.f64 e 1)) (-.f64 -1/6 (/.f64 (*.f64 e -1/2) (+.f64 e 1)))) (/.f64 (/.f64 (+.f64 e 1) e) -1/2))) (*.f64 (/.f64 e (+.f64 e 1)) v)))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (+.f64 (*.f64 (pow.f64 v 7) (-.f64 (*.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (*.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (-.f64 (/.f64 (*.f64 -1/6 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 (*.f64 -1/5040 e) (+.f64 e 1)) (fma.f64 1/24 (/.f64 (-.f64 (/.f64 (*.f64 -1/6 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 (*.f64 1/120 e) (+.f64 e 1)) (fma.f64 1/24 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 (*.f64 -1/6 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 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) -1/720)))) (*.f64 (pow.f64 v 5) (-.f64 (/.f64 (*.f64 1/120 e) (+.f64 e 1)) (fma.f64 1/24 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 (*.f64 -1/6 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 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2)) (/.f64 v (/.f64 (+.f64 e 1) e))) (fma.f64 (pow.f64 v 5) (-.f64 (*.f64 (/.f64 e (+.f64 e 1)) 1/120) (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/24 (/.f64 (*.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (*.f64 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2)) -1/2) (/.f64 (+.f64 e 1) e)))) (*.f64 (pow.f64 v 7) (-.f64 (*.f64 (/.f64 e (+.f64 e 1)) -1/5040) (fma.f64 1/24 (*.f64 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (*.f64 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2)) (+.f64 e 1)) e) (fma.f64 -1/2 (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 e (+.f64 e 1)) 1/120) (fma.f64 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/24 (/.f64 (*.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (*.f64 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) 1/2)) -1/2) (/.f64 (+.f64 e 1) e)))) (+.f64 e 1)) e) (*.f64 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) -1/720)))))))
(fma.f64 (pow.f64 v 3) (fma.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/2 (*.f64 -1/6 (/.f64 e (+.f64 e 1)))) (fma.f64 (pow.f64 v 5) (+.f64 (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (*.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) -1/24)) (*.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/2 (*.f64 -1/6 (/.f64 e (+.f64 e 1)))) (+.f64 e 1))) 1/2)) (fma.f64 (pow.f64 v 7) (-.f64 (*.f64 (/.f64 e (+.f64 e 1)) -1/5040) (fma.f64 -1/2 (*.f64 (/.f64 e (+.f64 e 1)) (+.f64 (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (*.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) -1/24)) (*.f64 (*.f64 e (/.f64 (fma.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/2 (*.f64 -1/6 (/.f64 e (+.f64 e 1)))) (+.f64 e 1))) 1/2))) (fma.f64 1/24 (*.f64 e (/.f64 (fma.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/2 (*.f64 -1/6 (/.f64 e (+.f64 e 1)))) (+.f64 e 1))) (*.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) -1/720)))) (/.f64 v (/.f64 (+.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 5) (-.f64 (*.f64 (/.f64 e (+.f64 e 1)) (-.f64 1/120 (*.f64 1/24 (/.f64 e (+.f64 e 1))))) (/.f64 (*.f64 (/.f64 e (+.f64 e 1)) (-.f64 -1/6 (/.f64 (*.f64 e -1/2) (+.f64 e 1)))) (/.f64 (/.f64 (+.f64 e 1) e) -1/2))) (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 (*.f64 (*.f64 (/.f64 e (+.f64 e 1)) (-.f64 -1/6 (/.f64 (*.f64 e -1/2) (+.f64 e 1)))) 1/24) (+.f64 e 1)) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 (/.f64 e (+.f64 e 1)) (-.f64 1/120 (*.f64 1/24 (/.f64 e (+.f64 e 1))))) (/.f64 (*.f64 (/.f64 e (+.f64 e 1)) (-.f64 -1/6 (/.f64 (*.f64 e -1/2) (+.f64 e 1)))) (/.f64 (/.f64 (+.f64 e 1) e) -1/2))) (+.f64 e 1)))))) (*.f64 (/.f64 e (+.f64 e 1)) v))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e))
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (*.f64 e e) (cos.f64 v))) (*.f64 e (sin.f64 v)))
(-.f64 (*.f64 e (sin.f64 v)) (*.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 (*.f64 e e) (cos.f64 v))) (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(-.f64 (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (*.f64 (sin.f64 v) (*.f64 e (*.f64 e (cos.f64 v)))))
(*.f64 (sin.f64 v) (-.f64 (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e) (*.f64 e (*.f64 e (cos.f64 v)))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (*.f64 e e) (cos.f64 v))) (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) (-.f64 (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e) (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 (/.f64 -1 (*.f64 e (cos.f64 v))) 1) (/.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 (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) (pow.f64 (cos.f64 v) 3)) (*.f64 e e)))
(+.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 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3))))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (*.f64 (+.f64 (/.f64 -1 (*.f64 e (cos.f64 v))) 1) (/.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 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (*.f64 e e)) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) (-.f64 (/.f64 (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) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (-.f64 (*.f64 (+.f64 (/.f64 -1 (*.f64 e (cos.f64 v))) 1) (/.f64 (sin.f64 v) (cos.f64 v))) (/.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 (/.f64 -1 (*.f64 e (cos.f64 v))) 1) (/.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 (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) (pow.f64 (cos.f64 v) 3)) (*.f64 e e)))
(+.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 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3))))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (*.f64 (+.f64 (/.f64 -1 (*.f64 e (cos.f64 v))) 1) (/.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 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (*.f64 e e)) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) (-.f64 (/.f64 (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) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (-.f64 (*.f64 (+.f64 (/.f64 -1 (*.f64 e (cos.f64 v))) 1) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3))))

localize3.0ms (0%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (+.f64 e 1) (*.f64 v e))
✓0.8b
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
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 v e))
1.0ms
e
@0
(/.f64 (+.f64 e 1) (*.f64 v e))
0.0ms
v
@0
(/.f64 (+.f64 e 1) (*.f64 v e))
0.0ms
v
@-inf
(/.f64 (+.f64 e 1) (*.f64 v e))
0.0ms
e
@inf
(/.f64 (+.f64 e 1) (*.f64 v e))

rewrite110.0ms (1.6%)

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
2255920
Stop Event
1×node limit
Counts
2 → 87
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
(/.f64 (+.f64 e 1) (*.f64 v e))
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 v (neg.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 1 e) v)) e)))) (#(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 v (neg.f64 e))))))) (#(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) v) (/.f64 1 e))))) (#(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)) v) (/.f64 (sqrt.f64 (+.f64 1 e)) e))))) (#(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)) e) (/.f64 (sqrt.f64 (+.f64 1 e)) v))))) (#(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 v (neg.f64 e))))))) (#(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))))))))

simplify54.0ms (0.8%)

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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (sin.f64 v) e)
✓2.1b
(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)
Compiler

Compiled 25 to 11 computations (56% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite53.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
842×pow1_binary64
783×add-log-exp_binary64
783×log1p-expm1-u_binary64
783×expm1-log1p-u_binary64
769×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0812
11736
223756
Stop Event
1×node limit
Counts
1 → 47
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (sin.f64 v) e -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 (sin.f64 v) e -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 v) e) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 v) e 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 (sin.f64 v) e 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 v) e -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 v) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) e)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) e) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 e) 2) (*.f64 (cbrt.f64 e) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2) (cbrt.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) (sqrt.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 v)) (*.f64 (sqrt.f64 (sin.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (+.f64 (*.f64 (sin.f64 v) e) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) -1) (/.f64 1 (+.f64 (*.f64 (sin.f64 v) e) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 (sin.f64 v) e 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (sin.f64 v) e 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) (pow.f64 (cbrt.f64 e) 2)) (cbrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 2)) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (+.f64 (*.f64 (sin.f64 v) e) 2)) (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (sin.f64 v) e) 2) (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (+.f64 (*.f64 (sin.f64 v) e) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (-.f64 1 (*.f64 (fma.f64 (sin.f64 v) e 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) -1) (+.f64 (*.f64 (sin.f64 v) e) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) -1) (-.f64 (fma.f64 (sin.f64 v) e 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (+.f64 (*.f64 (sin.f64 v) e) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) -1)) (neg.f64 (+.f64 (*.f64 (sin.f64 v) e) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 (sin.f64 v) e -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 (sin.f64 v) e -1) (fma.f64 (sin.f64 v) e -1)) (fma.f64 (sin.f64 v) e -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 (sin.f64 v) e -1) (fma.f64 (sin.f64 v) e -1))) (-.f64 1 (fma.f64 (sin.f64 v) e -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 v) e) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 e) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (sin.f64 v) e 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 v) e 1)) 2) (cbrt.f64 (fma.f64 (sin.f64 v) e 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (sin.f64 v) e 1)) (sqrt.f64 (fma.f64 (sin.f64 v) e 1)) -1)))))

simplify119.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1155×fma-def_binary64
690×unswap-sqr_binary64
654×sqr-pow_binary64
596×cube-prod_binary64
430×fabs-mul_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027196
173193
2194182
3588180
41572178
52429178
62636178
73084178
83963178
94106178
104333178
114815178
125411178
136284178
147393178
Stop Event
1×node limit
Counts
71 → 54
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 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (+.f64 (*.f64 v e) (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
Outputs
(*.f64 v e)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (*.f64 v e))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (*.f64 v e))
(*.f64 e (+.f64 v (*.f64 -1/6 (pow.f64 v 3))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (*.f64 v e)))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (*.f64 e (+.f64 (*.f64 1/120 (pow.f64 v 5)) v)))
(*.f64 e (+.f64 (*.f64 -1/6 (pow.f64 v 3)) (fma.f64 1/120 (pow.f64 v 5) v)))
(*.f64 e (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/6 (pow.f64 v 3) v)))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) v)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (+.f64 (*.f64 v e) (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (fma.f64 v e (*.f64 -1/5040 (*.f64 e (pow.f64 v 7))))))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (*.f64 e (+.f64 (*.f64 -1/5040 (pow.f64 v 7)) v))))
(*.f64 e (+.f64 (fma.f64 -1/5040 (pow.f64 v 7) v) (fma.f64 -1/6 (pow.f64 v 3) (*.f64 1/120 (pow.f64 v 5)))))
(*.f64 e (+.f64 (fma.f64 1/120 (pow.f64 v 5) v) (fma.f64 -1/5040 (pow.f64 v 7) (*.f64 -1/6 (pow.f64 v 3)))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 -1/5040 (pow.f64 v 7) (fma.f64 1/120 (pow.f64 v 5) v))))
(*.f64 e (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) (fma.f64 -1/6 (pow.f64 v 3) v))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) v))))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (sin.f64 v) e)
✓0.2b
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
✓13.6b
(sqrt.f64 (*.f64 (sin.f64 v) e))
Compiler

Compiled 23 to 8 computations (65.2% saved)

series10.0ms (0.1%)

Counts
2 → 8
Calls

12 calls:

TimeVariablePointExpression
1.0ms
v
@0
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
1.0ms
e
@-inf
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
1.0ms
v
@0
(sqrt.f64 (*.f64 (sin.f64 v) e))
1.0ms
e
@0
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
1.0ms
e
@0
(sqrt.f64 (*.f64 (sin.f64 v) e))

rewrite57.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
613×pow1_binary64
565×add-log-exp_binary64
565×log1p-expm1-u_binary64
565×expm1-log1p-u_binary64
551×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
116314
2159214
Stop Event
1×node limit
Counts
2 → 50
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (sin.f64 v) e))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 (sin.f64 v) e))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 v) e))) (cbrt.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 v) e) 1/4) (pow.f64 (*.f64 (sin.f64 v) e) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 v)) (sqrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 e) (sqrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 v) e) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 v) e))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 v) e))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) e)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) e) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) (sqrt.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 v) e))))) (#(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 (cbrt.f64 (*.f64 (sin.f64 v) e)) (*.f64 (cbrt.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 (*.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 (pow.f64 (cbrt.f64 e) 2) (*.f64 (cbrt.f64 e) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 v) e) 1/4) (*.f64 (pow.f64 (*.f64 (sin.f64 v) e) 1/4) (sqrt.f64 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 v)) (*.f64 (sqrt.f64 (sin.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 v)) (*.f64 (sqrt.f64 e) (sqrt.f64 (*.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 (*.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) (pow.f64 (*.f64 (sin.f64 v) e) 1/4)) (pow.f64 (*.f64 (sin.f64 v) e) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) (pow.f64 (cbrt.f64 e) 2)) (cbrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 2)) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) (cbrt.f64 (*.f64 (sin.f64 v) e))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) (sqrt.f64 (sin.f64 v))) (sqrt.f64 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 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)))))))

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0548
1648
Stop Event
1×saturated
Counts
58 → 50
Calls
Call 1
Inputs
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
Outputs
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)

eval139.0ms (2%)

Compiler

Compiled 6972 to 4030 computations (42.2% saved)

prune89.0ms (1.3%)

Pruning

27 alts after pruning (21 fresh and 6 done)

PrunedKeptTotal
New4069415
Fresh41216
Picked011
Done257
Total41227439
Error
0b
Counts
439 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.5b
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
27.3b
(/.f64 (*.f64 v e) (+.f64 e 1))
2.0b
(*.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))
▶62.7b
(-.f64 v (/.f64 v e))
✓28.0b
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
▶46.4b
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
28.0b
(pow.f64 (/.f64 (/.f64 (+.f64 e 1) v) e) -1)
60.8b
v
27.4b
(/.f64 (/.f64 v (+.f64 e 1)) (/.f64 1 e))
33.0b
(/.f64 e (pow.f64 (sqrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 2))
28.0b
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) v) (/.f64 1 e)))
27.4b
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) v)) e)
19.9b
(*.f64 e (log1p.f64 (-.f64 (exp.f64 (sin.f64 v)) 1)))
29.1b
(/.f64 1 (/.f64 1 (*.f64 v e)))
26.9b
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
2.5b
(pow.f64 (/.f64 (/.f64 1 (sin.f64 v)) e) -1)
1.8b
(*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v))))
▶1.9b
(/.f64 (sin.f64 v) (/.f64 1 e))
✓28.5b
(*.f64 v e)
✓0.1b
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
✓1.7b
(*.f64 (sin.f64 v) e)
28.0b
(*.f64 v (*.f64 (-.f64 1 e) e))
1.9b
(/.f64 e (/.f64 1 (sin.f64 v)))
✓27.3b
(*.f64 e (/.f64 v (+.f64 e 1)))
✓46.0b
(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)
46.4b
(-.f64 (+.f64 1 (*.f64 v e)) 1)
▶27.4b
(/.f64 e (/.f64 (+.f64 e 1) v))
Compiler

Compiled 481 to 347 computations (27.9% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓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)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite57.0ms (0.8%)

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)))))))

simplify60.0ms (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)))

localize4.0ms (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)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite55.0ms (0.8%)

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))))))

simplify21.0ms (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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 12 computations (40% saved)

series4.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite57.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
925×pow1_binary64
865×log1p-expm1-u_binary64
865×expm1-log1p-u_binary64
864×add-log-exp_binary64
846×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115617
2231417
Stop Event
1×node limit
Counts
2 → 72
Calls
Call 1
Inputs
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 (+.f64 e 1) v)
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 v (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 e (/.f64 v (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 v (/.f64 e (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (/.f64 v (+.f64 e 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 e) 2) (*.f64 (cbrt.f64 e) (/.f64 v (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 e (/.f64 v (+.f64 e 1)))) (pow.f64 (cbrt.f64 (*.f64 e (/.f64 v (+.f64 e 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 e (/.f64 v (+.f64 e 1)))) 2) (cbrt.f64 (*.f64 e (/.f64 v (+.f64 e 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (/.f64 v (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 e (/.f64 v (+.f64 e 1)))) (sqrt.f64 (*.f64 e (/.f64 v (+.f64 e 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 e) (/.f64 1 (/.f64 (+.f64 (neg.f64 e) -1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v (+.f64 e 1)) e)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (+.f64 e 1)) v)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 e) 2) 1) (/.f64 (cbrt.f64 e) (/.f64 (+.f64 e 1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 e) 1) (/.f64 (sqrt.f64 e) (/.f64 (+.f64 e 1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 e 1)) (/.f64 e (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 e) 2) (+.f64 e 1)) (/.f64 (cbrt.f64 e) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 e) (+.f64 e 1)) (/.f64 (sqrt.f64 e) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 e 1) v)) 2)) (/.f64 e (cbrt.f64 (/.f64 (+.f64 e 1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 e) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 e 1) v)) 2)) (cbrt.f64 (*.f64 e (/.f64 v (+.f64 e 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 e) (pow.f64 (cbrt.f64 (/.f64 (+.f64 e 1) v)) 2)) (/.f64 (sqrt.f64 e) (cbrt.f64 (/.f64 (+.f64 e 1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 e 1) v))) (/.f64 e (sqrt.f64 (/.f64 (+.f64 e 1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 e) 2) (sqrt.f64 (/.f64 (+.f64 e 1) v))) (/.f64 (cbrt.f64 e) (sqrt.f64 (/.f64 (+.f64 e 1) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e 1) (/.f64 v (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (+.f64 (neg.f64 e) -1)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 e (+.f64 e 1)) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 e (+.f64 e 1)) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sqrt.f64 v)) (sqrt.f64 v))))) (#(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 pow.f64 (/.f64 (+.f64 e 1) (*.f64 e v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 e (/.f64 (+.f64 (neg.f64 e) -1) v)))))) (#(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 (+.f64 e 1) v) 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 (log.f64 (*.f64 e (/.f64 v (+.f64 e 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 e 1) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 e 1) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 e 1) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 e 1) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 e 1) v)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 e 1) v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 e 1) v)) 2) (cbrt.f64 (/.f64 (+.f64 e 1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 e 1)) 2) (*.f64 (cbrt.f64 (+.f64 e 1)) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 e 1) v)) (sqrt.f64 (/.f64 (+.f64 e 1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 e 1)) (*.f64 (sqrt.f64 (+.f64 e 1)) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 e) -1) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (+.f64 e 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 e 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 e 1)) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 e 1)) 1) (/.f64 (sqrt.f64 (+.f64 e 1)) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 (+.f64 e 1) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 e 1)) 2) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (/.f64 (+.f64 e 1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 e 1)) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (sqrt.f64 (+.f64 e 1)) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 (+.f64 e 1) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 e 1)) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 (+.f64 e 1)) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 e 1) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 e 1) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 e 1) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 e 1) v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (+.f64 e 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 e 1) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 e 1) v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 e 1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 e 1) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 e 1) 3) (pow.f64 v 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 e 1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 e 1) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 e) (log.f64 v)))))))

simplify51.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
736×fma-def_binary64
463×times-frac_binary64
436×distribute-lft-out--_binary64
377×distribute-rgt-neg-in_binary64
334×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041482
1104470
2263460
3958443
44227436
Stop Event
1×node limit
Counts
120 → 93
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 v)
(+.f64 (/.f64 e v) (/.f64 1 v))
(+.f64 (/.f64 e v) (/.f64 1 v))
(+.f64 (/.f64 e v) (/.f64 1 v))
(/.f64 e v)
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(/.f64 e v)
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 1 e) v)
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 (fma.f64 (neg.f64 v) (*.f64 e e) (*.f64 v (pow.f64 e 3))))
(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 (fma.f64 (neg.f64 v) (*.f64 e e) (*.f64 v (pow.f64 e 3))) (*.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 (fma.f64 e e 1) (*.f64 v (-.f64 e (*.f64 e e))))
(*.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 (/.f64 v (+.f64 e 1)) e)
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.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 e (/.f64 v (+.f64 e 1)))
(*.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 e (/.f64 v (+.f64 e 1)))
(*.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 e (/.f64 v (+.f64 e 1)))
(*.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 e (/.f64 v (+.f64 e 1)))
(*.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 e (/.f64 v (+.f64 e 1)))
(*.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 e (/.f64 v (+.f64 e 1)))
(*.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 e (/.f64 v (+.f64 e 1)))
(*.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 e (/.f64 v (+.f64 e 1)))
(*.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 e (/.f64 v (+.f64 e 1)))
(*.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 e (/.f64 v (+.f64 e 1)))
(*.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 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 1 v)
(+.f64 (/.f64 e v) (/.f64 1 v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 e v) (/.f64 1 v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 e v) (/.f64 1 v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(/.f64 e v)
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(/.f64 e v)
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(+.f64 (/.f64 1 v) (/.f64 e v))
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 v (+.f64 e 1))
✓4.7b
(-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1)
Compiler

Compiled 40 to 28 computations (30% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite65.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
673×unpow-prod-down_binary64
545×prod-diff_binary64
462×fma-def_binary64
393×log-prod_binary64
233×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0813
11897
228757
Stop Event
1×node limit
Counts
1 → 139
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1)
Outputs
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#<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 (pow.f64 (cbrt.f64 v) 2) (pow.f64 (*.f64 (cbrt.f64 v) (/.f64 1 (+.f64 1 e))) 1))))) (#(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 (sqrt.f64 v) (pow.f64 (*.f64 (sqrt.f64 v) (/.f64 1 (+.f64 1 e))) 1))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 v (fma.f64 e e -1)) 1) (+.f64 e -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 v (+.f64 1 e)))) 2) 3) (cbrt.f64 (/.f64 v (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 v (+.f64 1 e)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 v (+.f64 1 e)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 v (+.f64 1 e)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 v (+.f64 1 e)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 v (+.f64 1 e)) 2) v) 1/3) (cbrt.f64 (/.f64 1 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 v (+.f64 1 e)) 2) (pow.f64 (cbrt.f64 (/.f64 v (+.f64 1 e))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 v (+.f64 1 e)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 v (+.f64 1 e)) 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e)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 v (+.f64 1 e))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 v) 2) (/.f64 (+.f64 1 e) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 v) (/.f64 (+.f64 1 e) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 v) (neg.f64 (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 v (+.f64 1 e))))) (+.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 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 v (+.f64 1 e))))) (+.f64 (pow.f64 (+.f64 1 (/.f64 v (+.f64 1 e))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 v (+.f64 1 e))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (+.f64 1 e) v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 v (+.f64 1 e))))) (+.f64 (/.f64 v (+.f64 1 e)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 v (+.f64 1 e)))))) (neg.f64 (+.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 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 v (+.f64 1 e)))))) (neg.f64 (+.f64 (/.f64 v (+.f64 1 e)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 v (sqrt.f64 (+.f64 1 e))) (sqrt.f64 (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) 2) (+.f64 (/.f64 v (+.f64 1 e)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) 2)) (-.f64 1 (+.f64 (/.f64 v (+.f64 1 e)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 v 1) (+.f64 1 e))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 v (pow.f64 (cbrt.f64 (+.f64 1 e)) 2)) (cbrt.f64 (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (+.f64 1 e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 v (+.f64 1 e)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 v (+.f64 1 e))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 v (+.f64 1 e))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 v (+.f64 1 e)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 e) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 1 e) v) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 v (+.f64 1 e))) 2) (+.f64 (/.f64 v (+.f64 1 e)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 v (+.f64 1 e)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 v (+.f64 1 e)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 v (+.f64 1 e)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 v (neg.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 v (+.f64 1 e)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 v (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 v (+.f64 1 e)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 v (+.f64 1 e)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (/.f64 v (+.f64 1 e))) (sqrt.f64 (*.f64 (/.f64 v (+.f64 1 e)) (+.f64 (/.f64 v (+.f64 1 e)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 v (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 v (+.f64 1 e))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 v (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 v) (log1p.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 v) (log1p.f64 e)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 v (+.f64 1 e)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 v (+.f64 1 e))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 v (+.f64 1 e)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 v (/.f64 1 (+.f64 1 e)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 v (+.f64 1 e)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 v (+.f64 1 e))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 v (+.f64 1 e))) (pow.f64 (cbrt.f64 (/.f64 v (+.f64 1 e))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 v (+.f64 1 e))) 2) (cbrt.f64 (/.f64 v (+.f64 1 e))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 v) 2) (*.f64 (cbrt.f64 v) (/.f64 1 (+.f64 1 e))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (/.f64 v (+.f64 1 e)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 v (+.f64 1 e)))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 v (+.f64 1 e)))) 2) (cbrt.f64 (+.f64 1 (/.f64 v (+.f64 1 e)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 v (+.f64 1 e)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 v (+.f64 1 e)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 v (+.f64 1 e))) (sqrt.f64 (/.f64 v (+.f64 1 e))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 v) (*.f64 (sqrt.f64 v) (/.f64 1 (+.f64 1 e))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 v (+.f64 1 e)))) (sqrt.f64 (+.f64 1 (/.f64 v (+.f64 1 e)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 v (+.f64 1 e)))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 v (+.f64 1 e)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 v) (/.f64 1 (neg.f64 (+.f64 1 e))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (/.f64 v (+.f64 1 e)) 3)) (/.f64 1 (fma.f64 (/.f64 v (+.f64 1 e)) (+.f64 (/.f64 v (+.f64 1 e)) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 e)) v 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 v (+.f64 1 e))))) (/.f64 1 (+.f64 (/.f64 v (+.f64 1 e)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (/.f64 v (+.f64 1 e)) 2)) (/.f64 1 (-.f64 1 (/.f64 v (+.f64 1 e)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1)) (sqrt.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) 1) (/.f64 (cbrt.f64 v) (+.f64 1 e)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 v) 1) (/.f64 (sqrt.f64 v) (+.f64 1 e)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 e)) 2)) (/.f64 v (cbrt.f64 (+.f64 1 e))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (pow.f64 (cbrt.f64 (+.f64 1 e)) 2)) (cbrt.f64 (/.f64 v (+.f64 1 e))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 v) (pow.f64 (cbrt.f64 (+.f64 1 e)) 2)) (/.f64 (sqrt.f64 v) (cbrt.f64 (+.f64 1 e))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 1 e))) (/.f64 v (sqrt.f64 (+.f64 1 e))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (sqrt.f64 (+.f64 1 e))) (/.f64 (cbrt.f64 v) (sqrt.f64 (+.f64 1 e))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 v (+.f64 1 e)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 v (+.f64 1 e))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 v (+.f64 1 e))) 1) (-.f64 (sqrt.f64 (/.f64 v (+.f64 1 e))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 v (+.f64 1 (pow.f64 e 3))) (-.f64 (fma.f64 e e 1) e) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 v (fma.f64 e e -1)) (+.f64 e -1) 0)))))

simplify52.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
675×associate-/r*_binary64
594×fma-def_binary64
402×associate-/l/_binary64
399×associate-/l*_binary64
286×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
036286
195272
2248265
3859249
43660235
Stop Event
1×node limit
Counts
163 → 153
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)))))
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 v (fma.f64 (neg.f64 v) e (*.f64 v (*.f64 e e))))
(+.f64 v (*.f64 v (-.f64 (*.f64 e e) e)))
(*.f64 v (-.f64 (fma.f64 e e 1) e))
(fma.f64 e (*.f64 v (+.f64 e -1)) 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)))))
(fma.f64 (neg.f64 v) (+.f64 e (pow.f64 e 3)) (fma.f64 v (*.f64 e e) v))
(*.f64 (fma.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 (/.f64 v e) e))
(-.f64 (/.f64 v e) (/.f64 v (*.f64 e e)))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3))))
(fma.f64 -1 (/.f64 v (*.f64 e e)) (+.f64 (/.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))))
(fma.f64 (+.f64 1 (/.f64 -1 e)) (/.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 (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 v e) (-.f64 (-.f64 (/.f64 v (pow.f64 e 3)) (/.f64 v (pow.f64 e 4))) (/.f64 v (*.f64 e e))))
(-.f64 (fma.f64 (+.f64 1 (/.f64 -1 e)) (/.f64 v e) (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 4)))
(*.f64 (+.f64 1 (/.f64 -1 e)) (+.f64 (/.f64 v 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 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3))))
(fma.f64 -1 (/.f64 v (*.f64 e e)) (+.f64 (/.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))))
(fma.f64 (+.f64 1 (/.f64 -1 e)) (/.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 (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 v e) (-.f64 (-.f64 (/.f64 v (pow.f64 e 3)) (/.f64 v (pow.f64 e 4))) (/.f64 v (*.f64 e e))))
(-.f64 (fma.f64 (+.f64 1 (/.f64 -1 e)) (/.f64 v e) (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 4)))
(*.f64 (+.f64 1 (/.f64 -1 e)) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3))))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 16 to 9 computations (43.8% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite57.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
696×pow1_binary64
642×add-log-exp_binary64
642×log1p-expm1-u_binary64
642×expm1-log1p-u_binary64
627×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11446
218166
Stop Event
1×node limit
Counts
1 → 34
Calls
Call 1
Inputs
(/.f64 (sin.f64 v) (/.f64 1 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 (sin.f64 v) e)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 v) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) e) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) e))))) (#(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 (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 (neg.f64 (sin.f64 v)) (/.f64 1 (/.f64 -1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 v)) (/.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 v)) 1) (/.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 e -2))) (/.f64 (sin.f64 v) (/.f64 1 (cbrt.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (cbrt.f64 (pow.f64 e -2))) (cbrt.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 v)) (cbrt.f64 (pow.f64 e -2))) (/.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (cbrt.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 e -1/2)) (/.f64 (sin.f64 v) (pow.f64 e -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (pow.f64 e -1/2)) (/.f64 (cbrt.f64 (sin.f64 v)) (pow.f64 e -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 v) -1) (neg.f64 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 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 pow.f64 (/.f64 1 (*.f64 (sin.f64 v) e)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 v) (/.f64 -1 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 (exp.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 cbrt.f64 (/.f64 (pow.f64 (sin.f64 v) 3) (/.f64 (pow.f64 e -2) e)))))) (#(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)))))))

simplify114.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1155×fma-def_binary64
690×unswap-sqr_binary64
654×sqr-pow_binary64
596×cube-prod_binary64
430×fabs-mul_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027196
173193
2194182
3588180
41572178
52429178
62636178
73084178
83963178
94106178
104333178
114815178
125411178
136284178
147393178
Stop Event
1×node limit
Counts
58 → 41
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 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (+.f64 (*.f64 v e) (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
Outputs
(*.f64 v e)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (*.f64 v e))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (*.f64 v e))
(*.f64 e (+.f64 v (*.f64 -1/6 (pow.f64 v 3))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (*.f64 v e)))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (*.f64 e (+.f64 (*.f64 1/120 (pow.f64 v 5)) v)))
(*.f64 e (+.f64 (*.f64 -1/6 (pow.f64 v 3)) (fma.f64 1/120 (pow.f64 v 5) v)))
(*.f64 e (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/6 (pow.f64 v 3) v)))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) v)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (+.f64 (*.f64 v e) (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (fma.f64 v e (*.f64 -1/5040 (*.f64 e (pow.f64 v 7))))))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (*.f64 e (+.f64 (*.f64 -1/5040 (pow.f64 v 7)) v))))
(*.f64 e (+.f64 (fma.f64 -1/5040 (pow.f64 v 7) v) (fma.f64 -1/6 (pow.f64 v 3) (*.f64 1/120 (pow.f64 v 5)))))
(*.f64 e (+.f64 (fma.f64 1/120 (pow.f64 v 5) v) (fma.f64 -1/5040 (pow.f64 v 7) (*.f64 -1/6 (pow.f64 v 3)))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 -1/5040 (pow.f64 v 7) (fma.f64 1/120 (pow.f64 v 5) v))))
(*.f64 e (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) (fma.f64 -1/6 (pow.f64 v 3) v))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) v))))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))

eval151.0ms (2.2%)

Compiler

Compiled 6736 to 4132 computations (38.7% saved)

prune164.0ms (2.3%)

Pruning

30 alts after pruning (22 fresh and 8 done)

PrunedKeptTotal
New4687475
Fresh11516
Picked011
Done3710
Total47230502
Error
0b
Counts
502 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.5b
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
27.3b
(/.f64 (*.f64 v e) (+.f64 e 1))
28.0b
(*.f64 v (*.f64 (-.f64 1 e) e))
62.7b
(/.f64 (neg.f64 v) e)
2.0b
(*.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))
✓28.0b
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
60.2b
(sin.f64 v)
63.3b
(*.f64 e (-.f64 (/.f64 v e) (/.f64 v (*.f64 e e))))
1.9b
(/.f64 e (/.f64 1 (sin.f64 v)))
28.0b
(pow.f64 (/.f64 (/.f64 (+.f64 e 1) v) e) -1)
27.4b
(/.f64 (/.f64 v (+.f64 e 1)) (/.f64 1 e))
33.0b
(/.f64 e (pow.f64 (sqrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 2))
28.0b
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) v) (/.f64 1 e)))
27.4b
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) v)) e)
28.6b
(/.f64 e (/.f64 1 v))
19.9b
(*.f64 e (log1p.f64 (-.f64 (exp.f64 (sin.f64 v)) 1)))
29.1b
(/.f64 1 (/.f64 1 (*.f64 v e)))
26.9b
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
2.5b
(pow.f64 (/.f64 (/.f64 1 (sin.f64 v)) e) -1)
1.8b
(*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v))))
✓1.9b
(/.f64 (sin.f64 v) (/.f64 1 e))
✓28.5b
(*.f64 v e)
✓0.1b
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
✓1.7b
(*.f64 (sin.f64 v) e)
60.8b
v
✓27.3b
(*.f64 e (/.f64 v (+.f64 e 1)))
✓46.0b
(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)
46.4b
(-.f64 (+.f64 1 (*.f64 v e)) 1)
46.4b
(*.f64 e (-.f64 (+.f64 1 v) 1))
28.5b
(/.f64 e (-.f64 (+.f64 1 (/.f64 (+.f64 e 1) v)) 1))
Compiler

Compiled 291 to 209 computations (28.2% saved)

regimes170.0ms (2.4%)

Counts
49 → 1
Calls
Call 1
Inputs
v
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 e (/.f64 1 v))
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 (+.f64 1 v) 1))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(-.f64 (+.f64 1 (*.f64 v e)) 1)
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 v (*.f64 (-.f64 1 e) e))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(/.f64 (/.f64 v (+.f64 e 1)) (/.f64 1 e))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) v)) e)
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
(*.f64 e (-.f64 (/.f64 v e) (/.f64 v (*.f64 e e))))
(/.f64 e (-.f64 (+.f64 1 (/.f64 (+.f64 e 1) v)) 1))
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) v) (/.f64 1 e)))
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(sin.f64 v)
(*.f64 (sin.f64 v) e)
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 e (/.f64 1 (sin.f64 v)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(pow.f64 (/.f64 (/.f64 (+.f64 e 1) v) e) -1)
(pow.f64 (/.f64 (/.f64 1 (sin.f64 v)) e) -1)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 e (log1p.f64 (expm1.f64 (sin.f64 v))))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
(*.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))
(*.f64 e (log1p.f64 (-.f64 (exp.f64 (sin.f64 v)) 1)))
(/.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 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) (/.f64 1 e))
(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))
(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e) -1)
(/.f64 (pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 e (log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
(/.f64 e (pow.f64 (sqrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 2))
(*.f64 e (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3))
(*.f64 e (cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3)))
(*.f64 e (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3))
(/.f64 (sqrt.f64 e) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) (sqrt.f64 e)))
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
Calls

3 calls:

42.0ms
e
42.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
41.0ms
v
Results
ErrorSegmentsBranch
0.1b1e
0.1b1v
0.1b1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
Compiler

Compiled 443 to 237 computations (46.5% saved)

regimes161.0ms (2.3%)

Counts
32 → 1
Calls
Call 1
Inputs
v
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 e (/.f64 1 v))
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 (+.f64 1 v) 1))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(-.f64 (+.f64 1 (*.f64 v e)) 1)
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 v (*.f64 (-.f64 1 e) e))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(/.f64 (/.f64 v (+.f64 e 1)) (/.f64 1 e))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) v)) e)
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
(*.f64 e (-.f64 (/.f64 v e) (/.f64 v (*.f64 e e))))
(/.f64 e (-.f64 (+.f64 1 (/.f64 (+.f64 e 1) v)) 1))
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) v) (/.f64 1 e)))
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(sin.f64 v)
(*.f64 (sin.f64 v) e)
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 e (/.f64 1 (sin.f64 v)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(pow.f64 (/.f64 (/.f64 (+.f64 e 1) v) e) -1)
(pow.f64 (/.f64 (/.f64 1 (sin.f64 v)) e) -1)
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
Calls

2 calls:

85.0ms
v
28.0ms
e
Results
ErrorSegmentsBranch
0.5b1e
0.5b1v
Compiler

Compiled 242 to 139 computations (42.6% saved)

regimes76.0ms (1.1%)

Counts
29 → 3
Calls
Call 1
Inputs
v
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 e (/.f64 1 v))
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 (+.f64 1 v) 1))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(-.f64 (+.f64 1 (*.f64 v e)) 1)
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 v (*.f64 (-.f64 1 e) e))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(/.f64 (/.f64 v (+.f64 e 1)) (/.f64 1 e))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) v)) e)
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
(*.f64 e (-.f64 (/.f64 v e) (/.f64 v (*.f64 e e))))
(/.f64 e (-.f64 (+.f64 1 (/.f64 (+.f64 e 1) v)) 1))
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) v) (/.f64 1 e)))
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(sin.f64 v)
(*.f64 (sin.f64 v) e)
(/.f64 (sin.f64 v) (/.f64 1 e))
(/.f64 e (/.f64 1 (sin.f64 v)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)
Outputs
(*.f64 (sin.f64 v) e)
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (sin.f64 v) e)
Calls

2 calls:

42.0ms
v
26.0ms
e
Results
ErrorSegmentsBranch
1.7b1e
0.6b3v
Compiler

Compiled 217 to 124 computations (42.9% saved)

bsearch85.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
31.0ms
6.365883003961631e-186
1.446087963727196e-184
53.0ms
-0.5102105408001771
-1.356137459008175e-17
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes34.0ms (0.5%)

Counts
25 → 1
Calls
Call 1
Inputs
v
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 e (/.f64 1 v))
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 (+.f64 1 v) 1))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(-.f64 (+.f64 1 (*.f64 v e)) 1)
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 v (*.f64 (-.f64 1 e) e))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(/.f64 (/.f64 v (+.f64 e 1)) (/.f64 1 e))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) v)) e)
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
(*.f64 e (-.f64 (/.f64 v e) (/.f64 v (*.f64 e e))))
(/.f64 e (-.f64 (+.f64 1 (/.f64 (+.f64 e 1) v)) 1))
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) v) (/.f64 1 e)))
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(sin.f64 v)
Outputs
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
Calls

2 calls:

14.0ms
v
14.0ms
e
Results
ErrorSegmentsBranch
26.9b1e
26.9b1v
Compiler

Compiled 193 to 113 computations (41.5% saved)

regimes49.0ms (0.7%)

Counts
23 → 1
Calls
Call 1
Inputs
v
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 e (/.f64 1 v))
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 (+.f64 1 v) 1))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(-.f64 (+.f64 1 (*.f64 v e)) 1)
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 v (*.f64 (-.f64 1 e) e))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(/.f64 (/.f64 v (+.f64 e 1)) (/.f64 1 e))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) v)) e)
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 v e)))
(*.f64 e (-.f64 (/.f64 v e) (/.f64 v (*.f64 e e))))
(/.f64 e (-.f64 (+.f64 1 (/.f64 (+.f64 e 1) v)) 1))
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) v) (/.f64 1 e)))
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
Outputs
(/.f64 (*.f64 v e) (+.f64 e 1))
Calls

2 calls:

23.0ms
e
20.0ms
v
Results
ErrorSegmentsBranch
27.3b1e
27.3b1v
Compiler

Compiled 170 to 98 computations (42.4% saved)

regimes32.0ms (0.5%)

Counts
10 → 1
Calls
Call 1
Inputs
v
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(/.f64 e (/.f64 1 v))
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 (+.f64 1 v) 1))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(-.f64 (+.f64 1 (*.f64 v e)) 1)
Outputs
(*.f64 v e)
Calls

2 calls:

14.0ms
e
13.0ms
v
Results
ErrorSegmentsBranch
28.5b1e
28.5b1v
Compiler

Compiled 53 to 27 computations (49.1% saved)

regimes17.0ms (0.2%)

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:

8.0ms
e
8.0ms
v
Results
ErrorSegmentsBranch
60.8b1e
60.8b1v
Compiler

Compiled 10 to 6 computations (40% saved)

simplify18.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
9×*-commutative_binary64
8×+-commutative_binary64
4×sub-neg_binary64
3×neg-sub0_binary64
3×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034109
153109
262109
370109
476109
579109
680109
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(if (<=.f64 v -2297784001428177/4503599627370496) (*.f64 (sin.f64 v) e) (if (<=.f64 v 974553687678277/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232) (/.f64 (*.f64 v e) (+.f64 e 1)) (*.f64 (sin.f64 v) e)))
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 v e)
v
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e 1))
(if (<=.f64 v -2297784001428177/4503599627370496) (*.f64 (sin.f64 v) e) (if (<=.f64 v 974553687678277/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232) (/.f64 (*.f64 v e) (+.f64 e 1)) (*.f64 (sin.f64 v) e)))
(if (<=.f64 v -2297784001428177/4503599627370496) (*.f64 e (sin.f64 v)) (if (<=.f64 v 974553687678277/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232) (/.f64 (*.f64 e v) (+.f64 e 1)) (*.f64 e (sin.f64 v))))
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(/.f64 e (+.f64 (*.f64 v (-.f64 (*.f64 e -1/2) (*.f64 (+.f64 e 1) -1/6))) (+.f64 (/.f64 e v) (/.f64 1 v))))
(/.f64 e (+.f64 (*.f64 v (+.f64 (*.f64 e -1/2) (*.f64 (+.f64 e 1) 1/6))) (+.f64 (/.f64 e v) (/.f64 1 v))))
(/.f64 e (+.f64 (*.f64 v (+.f64 (*.f64 e -1/2) (*.f64 -1/6 (-.f64 -1 e)))) (+.f64 (/.f64 e v) (/.f64 1 v))))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 (*.f64 e v) (+.f64 e 1))
(*.f64 v e)
(*.f64 e v)
v
Compiler

Compiled 88 to 57 computations (35.2% saved)

soundness0.0ms (0%)

end95.0ms (1.4%)

Compiler

Compiled 76 to 39 computations (48.7% saved)

Profiling

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