Details

Time bar (total: 7.2s)

analyze21.0ms (0.3%)

Algorithm
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)

sample2.6s (36%)

Results
1.2s2135×body1024valid
982.0ms5128×body256valid
368.0ms989×body512valid
4.0msbody2048valid

preprocess17.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01634
12830
24030
34630
44830
022
Stop Event
saturated
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)

simplify10.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01017
11715
22315
32615
42715
Stop Event
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)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Compiled 25 to 17 computations (32% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 32 to 14 computations (56.3% saved)

series12.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

rewrite63.0ms (0.9%)

Algorithm
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
0927
117827
2223627
Stop Event
node limit
Counts
2 → 53
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))
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))))))))

simplify65.0ms (0.9%)

Algorithm
egg-herbie
Rules
860×fma-def_binary64
714×associate-*l*_binary64
647×associate-*r*_binary64
247×associate-/r*_binary64
230×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01531900
14761818
216851780
Stop Event
node limit
Counts
101 → 102
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))))))
Outputs
(*.f64 (sin.f64 v) e)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e))
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (*.f64 (sin.f64 v) e))
(-.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 e (*.f64 e (cos.f64 v)))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(-.f64 (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (*.f64 (sin.f64 v) (*.f64 e (*.f64 e (cos.f64 v)))))
(*.f64 (sin.f64 v) (-.f64 (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e) (*.f64 e (*.f64 e (cos.f64 v)))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))) (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(+.f64 (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (*.f64 (neg.f64 (sin.f64 v)) (+.f64 (*.f64 e (*.f64 e (cos.f64 v))) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))))
(-.f64 (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e)) (*.f64 (sin.f64 v) (fma.f64 e (*.f64 e (cos.f64 v)) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(-.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (*.f64 e (pow.f64 (cos.f64 v) 3))) (+.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(-.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (*.f64 e (pow.f64 (cos.f64 v) 3))) (+.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(*.f64 (/.f64 e (+.f64 e 1)) v)
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (*.f64 v e) (+.f64 1 e)))
(fma.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 v (/.f64 (+.f64 e 1) e)))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (*.f64 (/.f64 v (+.f64 e 1)) e))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 (*.f64 e e) 1/2) (pow.f64 (+.f64 e 1) 2))) (*.f64 (/.f64 e (+.f64 e 1)) v))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 v (/.f64 (+.f64 e 1) e))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 (/.f64 e (+.f64 e 1)) 1/120) (fma.f64 1/24 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 (+.f64 e 1) e)))))))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (/.f64 (+.f64 e 1) e)) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (+.f64 e 1)) e) (/.f64 (*.f64 (*.f64 e e) 1/24) (pow.f64 (+.f64 e 1) 2)))) (*.f64 (/.f64 v (+.f64 e 1)) e)))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 (*.f64 e e) 1/2) (pow.f64 (+.f64 e 1) 2))) (fma.f64 (pow.f64 v 5) (-.f64 (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (*.f64 (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) e) -1/24)) (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 (*.f64 e e) 1/2) (pow.f64 (+.f64 e 1) 2))) (/.f64 (/.f64 (+.f64 e 1) e) -1/2))) (*.f64 (/.f64 e (+.f64 e 1)) v)))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (+.f64 (*.f64 (pow.f64 v 7) (-.f64 (*.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (*.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))))
(+.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 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))))) (/.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 1/24 (/.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))))))))
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(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4)))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4)))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (neg.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))))
(-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4)))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4)))))

localize26.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
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)

series20.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

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

rewrite93.0ms (1.3%)

Algorithm
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
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 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#<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))))))

simplify100.0ms (1.4%)

Algorithm
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
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))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 v e)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (*.f64 v e))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (*.f64 v e))
(*.f64 e (+.f64 v (*.f64 -1/6 (pow.f64 v 3))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (*.f64 v e)))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (*.f64 e (+.f64 v (*.f64 1/120 (pow.f64 v 5)))))
(*.f64 e (+.f64 v (fma.f64 -1/6 (pow.f64 v 3) (*.f64 1/120 (pow.f64 v 5)))))
(*.f64 e (+.f64 (*.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 (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))

eval199.0ms (2.8%)

Compiler

Compiled 5596 to 3131 computations (44% saved)

prune95.0ms (1.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New22718245
Fresh000
Picked101
Done101
Total22918247
Error
0.0b
Counts
247 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(*.f64 e (expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
33.2b
(*.f64 e (pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2))
0.2b
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 1 (pow.f64 (*.f64 e (cos.f64 v)) 2))) (-.f64 1 (*.f64 e (cos.f64 v))))
31.5b
(/.f64 (*.f64 v e) (+.f64 1 e))
15.2b
(*.f64 e (-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1))
0.2b
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
1.7b
(*.f64 (sin.f64 v) e)
15.2b
(*.f64 e (log.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
1.0b
(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))
31.5b
(*.f64 e (/.f64 v (+.f64 e 1)))
33.6b
(/.f64 (cbrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3)) (+.f64 1 (*.f64 e (cos.f64 v))))
31.5b
(*.f64 (/.f64 e (+.f64 e 1)) v)
1.0b
(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e) -1)
0.2b
(*.f64 e (/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))
26.5b
(/.f64 (pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2) (+.f64 1 (*.f64 e (cos.f64 v))))
0.8b
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
0.3b
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
1.1b
(/.f64 (pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 3) (+.f64 1 (*.f64 e (cos.f64 v))))
Compiler

Compiled 478 to 338 computations (29.3% saved)

localize29.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 39 to 15 computations (61.5% saved)

series13.0ms (0.2%)

Counts
3 → 44
Calls

18 calls:

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

rewrite94.0ms (1.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01037
120733
2277233
Stop Event
node limit
Counts
3 → 107
Calls
Call 1
Inputs
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(*.f64 (cos.f64 v) e)
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 e (sin.f64 v))) (neg.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 e (sin.f64 v)) 1) (fma.f64 e (cos.f64 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 e (sin.f64 v)) (cbrt.f64 (pow.f64 (fma.f64 e (cos.f64 v) 1) 2))) (cbrt.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 e (sin.f64 v)) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))) (sqrt.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 v)) e) (neg.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (neg.f64 (sin.f64 v))) (neg.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 e (cos.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 e) (cos.f64 v))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 e) (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 e) (cos.f64 v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 e) (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 e (cos.f64 v) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 e (cos.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 e (cos.f64 v)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 e (cos.f64 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 e (cos.f64 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 e (cos.f64 v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 e (cos.f64 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 e) (cos.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 e (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 e (cos.f64 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 e (cos.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 e (cos.f64 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 e (cos.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 e (cos.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 e (cos.f64 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 e (cos.f64 v)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 e (cos.f64 v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 e (cos.f64 v)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 e (cos.f64 v))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 e (cos.f64 v))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 e (cos.f64 v) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 e (cos.f64 v) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) (cbrt.f64 (pow.f64 (fma.f64 e (cos.f64 v) 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 e (cos.f64 v) 1) 2)) (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 e (cos.f64 v) 1)) (sqrt.f64 (fma.f64 e (cos.f64 v) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 e (cos.f64 v)) 3)) (/.f64 1 (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 e (cos.f64 v)) 2)) (/.f64 1 (-.f64 1 (*.f64 e (cos.f64 v)))) -1)))))
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(pow.f64 (fma.f64 e (cos.f64 v) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1) 1))))))

simplify125.0ms (1.7%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
01651852
15161786
218171742
371541726
Stop Event
node limit
Counts
151 → 161
Calls
Call 1
Inputs
(*.f64 (sin.f64 v) e)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (*.f64 v e) (+.f64 1 e)))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (+.f64 (*.f64 (pow.f64 v 7) (-.f64 (*.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (*.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
e
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) e)) e)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 v 4) e)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) e)) e))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 v 6) e)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 v 4) e)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) e)) e)))
(/.f64 v (+.f64 1 e))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e)))
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e))))
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 7) (+.f64 (*.f64 -1/720 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2))))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/5040 (/.f64 1 (+.f64 1 e)))))))) (/.f64 v (+.f64 1 e)))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
Outputs
(*.f64 (sin.f64 v) e)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e))
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (*.f64 (sin.f64 v) e))
(-.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 e (*.f64 e (cos.f64 v)))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(fma.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (*.f64 (*.f64 e (*.f64 e (cos.f64 v))) (neg.f64 (sin.f64 v))))
(*.f64 (sin.f64 v) (-.f64 (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e) (*.f64 e (*.f64 e (cos.f64 v)))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))) (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(+.f64 (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (*.f64 (neg.f64 (sin.f64 v)) (+.f64 (*.f64 e (*.f64 e (cos.f64 v))) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))))
(fma.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e) (*.f64 (neg.f64 (sin.f64 v)) (fma.f64 e (*.f64 e (cos.f64 v)) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (*.f64 v e) (+.f64 1 e)))
(fma.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 (*.f64 v e) (+.f64 e 1)))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (/.f64 v (/.f64 (+.f64 e 1) e)))
(fma.f64 (pow.f64 v 3) (fma.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/2 (/.f64 -1/6 (/.f64 (+.f64 e 1) e))) (*.f64 (/.f64 e (+.f64 e 1)) v))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 (*.f64 v e) (+.f64 e 1))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 (/.f64 e (+.f64 e 1)) 1/120) (fma.f64 1/24 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 (+.f64 e 1) e)))))))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (/.f64 (+.f64 e 1) e)) (fma.f64 -1/2 (/.f64 (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (/.f64 (+.f64 e 1) e)) (/.f64 (*.f64 (*.f64 e e) 1/24) (pow.f64 (+.f64 e 1) 2)))) (/.f64 v (/.f64 (+.f64 e 1) e))))
(fma.f64 (pow.f64 v 3) (fma.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/2 (/.f64 -1/6 (/.f64 (+.f64 e 1) e))) (fma.f64 (pow.f64 v 5) (fma.f64 (/.f64 e (+.f64 e 1)) 1/120 (+.f64 (*.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) -1/24) (/.f64 (*.f64 1/2 (fma.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/2 (/.f64 -1/6 (/.f64 (+.f64 e 1) e)))) (/.f64 (+.f64 e 1) e)))) (*.f64 (/.f64 e (+.f64 e 1)) v)))
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(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 1/24 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (/.f64 (+.f64 e 1) e) 1/2)))) (-.f64 (/.f64 v (+.f64 e 1)) (fma.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (*.f64 (pow.f64 v 7) (fma.f64 -1/2 (*.f64 (/.f64 e (+.f64 e 1)) (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 1/24 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (/.f64 (+.f64 e 1) e) 1/2))))) (fma.f64 -1/720 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (fma.f64 (*.f64 (/.f64 e (+.f64 e 1)) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1)))) -1/24 (/.f64 1/5040 (+.f64 e 1)))))))))
(-.f64 (fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 1/24 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (/.f64 (+.f64 e 1) e) 1/2)))) (/.f64 v (+.f64 e 1))) (fma.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (*.f64 (pow.f64 v 7) (fma.f64 -1/2 (*.f64 (/.f64 e (+.f64 e 1)) (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 1/24 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (/.f64 (+.f64 e 1) e) 1/2))))) (fma.f64 -1/720 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (fma.f64 (*.f64 (/.f64 e (+.f64 e 1)) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1)))) -1/24 (/.f64 1/5040 (+.f64 e 1))))))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))
(+.f64 (sin.f64 v) (neg.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(-.f64 (sin.f64 v) (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))))
(+.f64 (sin.f64 v) (fma.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)) (neg.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))))))
(-.f64 (*.f64 (+.f64 (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))) 1) (sin.f64 v)) (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))))
(*.f64 (sin.f64 v) (-.f64 (fma.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2) 1) (*.f64 e (cos.f64 v))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))))
(+.f64 (sin.f64 v) (fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3))) (fma.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)) (neg.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))))
(+.f64 (sin.f64 v) (-.f64 (-.f64 (*.f64 (*.f64 e e) (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))) (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))) (*.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3)))))
(fma.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (neg.f64 (pow.f64 (cos.f64 v) 3))) (*.f64 (sin.f64 v) (-.f64 (fma.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2) 1) (*.f64 e (cos.f64 v)))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e)
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (neg.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))))
(-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))))
(-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4)))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e)
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (neg.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))))
(-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))))
(-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4)))))

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 12 computations (40% saved)

series13.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

rewrite83.0ms (1.2%)

Algorithm
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
node limit
Counts
2 → 55
Calls
Call 1
Inputs
(*.f64 e (/.f64 v (+.f64 e 1)))
(/.f64 v (+.f64 e 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 e (/.f64 (+.f64 e 1) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e v) (+.f64 e 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 e v)) (+.f64 -1 (neg.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 e v) 1) (+.f64 e 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 e v) (pow.f64 (cbrt.f64 (+.f64 e 1)) 2)) (cbrt.f64 (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 e v) (sqrt.f64 (+.f64 e 1))) (sqrt.f64 (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 v) e) (+.f64 -1 (neg.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (neg.f64 v)) (+.f64 -1 (neg.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 e (/.f64 v (+.f64 e 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 e (/.f64 v (+.f64 e 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 e (/.f64 v (+.f64 e 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 e (/.f64 v (+.f64 e 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 e (/.f64 v (+.f64 e 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 e) (/.f64 v (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 e (/.f64 v (+.f64 e 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 e 3) (pow.f64 (/.f64 v (+.f64 e 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 v (+.f64 e 1)) 3) (pow.f64 e 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 e (/.f64 v (+.f64 e 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 e (/.f64 v (+.f64 e 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 e v)) (log1p.f64 e)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 v (/.f64 1 (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 v (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v (+.f64 e 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 v (+.f64 e 1))) (pow.f64 (cbrt.f64 (/.f64 v (+.f64 e 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 v (+.f64 e 1))) 2) (cbrt.f64 (/.f64 v (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 v) 2) (*.f64 (cbrt.f64 v) (/.f64 1 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 v (+.f64 e 1))) (sqrt.f64 (/.f64 v (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 v) (*.f64 (sqrt.f64 v) (/.f64 1 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 v) (/.f64 1 (+.f64 -1 (neg.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 e 1)) v)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) 1) (/.f64 (cbrt.f64 v) (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 v) 1) (/.f64 (sqrt.f64 v) (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 e 1)) 2)) (/.f64 v (cbrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (pow.f64 (cbrt.f64 (+.f64 e 1)) 2)) (cbrt.f64 (/.f64 v (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 v) (pow.f64 (cbrt.f64 (+.f64 e 1)) 2)) (/.f64 (sqrt.f64 v) (cbrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 e 1))) (/.f64 v (sqrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (sqrt.f64 (+.f64 e 1))) (/.f64 (cbrt.f64 v) (sqrt.f64 (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v (+.f64 1 (pow.f64 e 3))) (fma.f64 e e (-.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v (fma.f64 e e -1)) (+.f64 e -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (+.f64 e 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 v (+.f64 e 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 v (+.f64 e 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 v (+.f64 e 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 e 1) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 v (+.f64 -1 (neg.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 v (+.f64 e 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 v (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 v (+.f64 e 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 v 3) (pow.f64 (+.f64 e 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 v (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 v (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 v) (log1p.f64 e)))))))

simplify83.0ms (1.2%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
054582
1156556
2430539
31544496
45594496
Stop Event
node limit
Counts
103 → 86
Calls
Call 1
Inputs
(*.f64 v e)
(+.f64 (*.f64 v e) (*.f64 -1 (*.f64 v (pow.f64 e 2))))
(+.f64 (*.f64 v e) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 2))) (*.f64 v (pow.f64 e 3))))
(+.f64 (*.f64 v e) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 2))) (+.f64 (*.f64 v (pow.f64 e 3)) (*.f64 -1 (*.f64 v (pow.f64 e 4))))))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
v
(+.f64 v (*.f64 -1 (*.f64 v e)))
(+.f64 v (+.f64 (*.f64 -1 (*.f64 v e)) (*.f64 v (pow.f64 e 2))))
(+.f64 v (+.f64 (*.f64 -1 (*.f64 v e)) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 3))) (*.f64 v (pow.f64 e 2)))))
(/.f64 v e)
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3))))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3)))))
(/.f64 v e)
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3))))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3)))))
Outputs
(*.f64 v e)
(+.f64 (*.f64 v e) (*.f64 -1 (*.f64 v (pow.f64 e 2))))
(fma.f64 v e (neg.f64 (*.f64 v (*.f64 e e))))
(-.f64 (*.f64 v e) (*.f64 v (*.f64 e e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(+.f64 (*.f64 v e) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 2))) (*.f64 v (pow.f64 e 3))))
(fma.f64 v e (fma.f64 -1 (*.f64 v (*.f64 e e)) (*.f64 v (pow.f64 e 3))))
(fma.f64 v e (-.f64 (*.f64 v (pow.f64 e 3)) (*.f64 v (*.f64 e e))))
(fma.f64 v e (*.f64 v (-.f64 (pow.f64 e 3) (*.f64 e e))))
(*.f64 v (-.f64 e (*.f64 e (-.f64 e (*.f64 e e)))))
(*.f64 (*.f64 v e) (+.f64 (*.f64 e e) (-.f64 1 e)))
(+.f64 (*.f64 v e) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 2))) (+.f64 (*.f64 v (pow.f64 e 3)) (*.f64 -1 (*.f64 v (pow.f64 e 4))))))
(fma.f64 v e (fma.f64 -1 (*.f64 v (*.f64 e e)) (fma.f64 v (pow.f64 e 3) (neg.f64 (*.f64 v (pow.f64 e 4))))))
(fma.f64 v e (-.f64 (-.f64 (*.f64 v (pow.f64 e 3)) (*.f64 v (*.f64 e e))) (*.f64 v (pow.f64 e 4))))
(+.f64 (*.f64 v (-.f64 e (*.f64 e e))) (*.f64 v (-.f64 (pow.f64 e 3) (pow.f64 e 4))))
(*.f64 (-.f64 e (*.f64 e e)) (fma.f64 v (*.f64 e e) v))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (neg.f64 (/.f64 v e)))
(-.f64 v (/.f64 v e))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (/.f64 v (*.f64 e e))))
(+.f64 (-.f64 v (/.f64 v e)) (/.f64 v (*.f64 e e)))
(+.f64 v (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e)))
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e))
(+.f64 v (/.f64 (-.f64 (/.f64 v e) v) e))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (fma.f64 -1 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e)))))
(+.f64 (-.f64 v (/.f64 v e)) (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v (pow.f64 e 3))))
(-.f64 (+.f64 v (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e))) (/.f64 v (pow.f64 e 3)))
(+.f64 v (-.f64 (/.f64 (-.f64 v (/.f64 v e)) (*.f64 e e)) (/.f64 v e)))
(-.f64 v (+.f64 (/.f64 v e) (/.f64 (-.f64 (/.f64 v e) v) (*.f64 e e))))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (neg.f64 (/.f64 v e)))
(-.f64 v (/.f64 v e))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (/.f64 v (*.f64 e e))))
(+.f64 (-.f64 v (/.f64 v e)) (/.f64 v (*.f64 e e)))
(+.f64 v (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e)))
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e))
(+.f64 v (/.f64 (-.f64 (/.f64 v e) v) e))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (fma.f64 -1 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e)))))
(+.f64 (-.f64 v (/.f64 v e)) (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v (pow.f64 e 3))))
(-.f64 (+.f64 v (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e))) (/.f64 v (pow.f64 e 3)))
(+.f64 v (-.f64 (/.f64 (-.f64 v (/.f64 v e)) (*.f64 e e)) (/.f64 v e)))
(-.f64 v (+.f64 (/.f64 v e) (/.f64 (-.f64 (/.f64 v e) v) (*.f64 e e))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
v
(+.f64 v (*.f64 -1 (*.f64 v e)))
(+.f64 v (neg.f64 (*.f64 v e)))
(-.f64 v (*.f64 v e))
(+.f64 v (+.f64 (*.f64 -1 (*.f64 v e)) (*.f64 v (pow.f64 e 2))))
(+.f64 v (fma.f64 -1 (*.f64 v e) (*.f64 v (*.f64 e e))))
(+.f64 (*.f64 v (*.f64 e e)) (-.f64 v (*.f64 v e)))
(+.f64 v (*.f64 v (-.f64 (*.f64 e e) e)))
(+.f64 v (*.f64 e (fma.f64 v e (neg.f64 v))))
(+.f64 v (+.f64 (*.f64 -1 (*.f64 v e)) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 3))) (*.f64 v (pow.f64 e 2)))))
(+.f64 v (fma.f64 -1 (*.f64 v e) (fma.f64 -1 (*.f64 v (pow.f64 e 3)) (*.f64 v (*.f64 e e)))))
(+.f64 v (+.f64 (*.f64 v (*.f64 e e)) (*.f64 (neg.f64 v) (+.f64 e (pow.f64 e 3)))))
(-.f64 v (fma.f64 v e (*.f64 v (-.f64 (pow.f64 e 3) (*.f64 e e)))))
(*.f64 (+.f64 (*.f64 e e) 1) (-.f64 v (*.f64 v e)))
(/.f64 v e)
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e))
(fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e))
(-.f64 (/.f64 v e) (/.f64 v (*.f64 e e)))
(/.f64 (-.f64 v (/.f64 v e)) e)
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3))))
(+.f64 (fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e)) (/.f64 v (pow.f64 e 3)))
(+.f64 (/.f64 v (pow.f64 e 3)) (-.f64 (/.f64 v e) (/.f64 v (*.f64 e e))))
(+.f64 (/.f64 v e) (-.f64 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e))))
(+.f64 (/.f64 v (pow.f64 e 3)) (/.f64 (-.f64 v (/.f64 v e)) e))
(+.f64 (/.f64 v e) (/.f64 (-.f64 (/.f64 v e) v) (*.f64 e e)))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3)))))
(+.f64 (fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e)) (fma.f64 -1 (/.f64 v (pow.f64 e 4)) (/.f64 v (pow.f64 e 3))))
(+.f64 (-.f64 (/.f64 v e) (/.f64 v (*.f64 e e))) (-.f64 (/.f64 v (pow.f64 e 3)) (/.f64 v (pow.f64 e 4))))
(+.f64 (/.f64 v (pow.f64 e 3)) (-.f64 (-.f64 (/.f64 v e) (/.f64 v (pow.f64 e 4))) (/.f64 v (*.f64 e e))))
(+.f64 (/.f64 v (pow.f64 e 3)) (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) (/.f64 v (pow.f64 e 4))))
(+.f64 (/.f64 v e) (-.f64 (/.f64 (-.f64 (/.f64 v e) v) (*.f64 e e)) (/.f64 v (pow.f64 e 4))))
(/.f64 v e)
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e))
(fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e))
(-.f64 (/.f64 v e) (/.f64 v (*.f64 e e)))
(/.f64 (-.f64 v (/.f64 v e)) e)
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3))))
(+.f64 (fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e)) (/.f64 v (pow.f64 e 3)))
(+.f64 (/.f64 v (pow.f64 e 3)) (-.f64 (/.f64 v e) (/.f64 v (*.f64 e e))))
(+.f64 (/.f64 v e) (-.f64 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e))))
(+.f64 (/.f64 v (pow.f64 e 3)) (/.f64 (-.f64 v (/.f64 v e)) e))
(+.f64 (/.f64 v e) (/.f64 (-.f64 (/.f64 v e) v) (*.f64 e e)))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3)))))
(+.f64 (fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e)) (fma.f64 -1 (/.f64 v (pow.f64 e 4)) (/.f64 v (pow.f64 e 3))))
(+.f64 (-.f64 (/.f64 v e) (/.f64 v (*.f64 e e))) (-.f64 (/.f64 v (pow.f64 e 3)) (/.f64 v (pow.f64 e 4))))
(+.f64 (/.f64 v (pow.f64 e 3)) (-.f64 (-.f64 (/.f64 v e) (/.f64 v (pow.f64 e 4))) (/.f64 v (*.f64 e e))))
(+.f64 (/.f64 v (pow.f64 e 3)) (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) (/.f64 v (pow.f64 e 4))))
(+.f64 (/.f64 v e) (-.f64 (/.f64 (-.f64 (/.f64 v e) v) (*.f64 e e)) (/.f64 v (pow.f64 e 4))))

localize21.0ms (0.3%)

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)

series6.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite77.0ms (1.1%)

Algorithm
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
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)))))))

simplify88.0ms (1.2%)

Algorithm
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
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)))

localize48.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
0.2b
(*.f64 e (-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1))
0.4b
(+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
3.0b
(-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)
Compiler

Compiled 58 to 30 computations (48.3% saved)

series12.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

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

rewrite108.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
531×log-prod_binary64
468×prod-diff_binary64
418×fma-def_binary64
293×pow2_binary64
203×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01154
123942
2338142
Stop Event
node limit
Counts
3 → 203
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)
(+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(*.f64 e (-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 0)))) (#(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 0 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 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 (/.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 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((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 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.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 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2) (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (sin.f64 v) (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 (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 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) (+.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2) (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) (+.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) -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 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 2))))) (#(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 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2) (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))) (neg.f64 (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 2)))))) 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simplify67.0ms (0.9%)

Algorithm
egg-herbie
Rules
715×associate-*l*_binary64
648×associate-*r*_binary64
341×associate-+l+_binary64
267×*-commutative_binary64
247×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01692514
15232401
218232367
Stop Event
node limit
Counts
275 → 273
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))))))
1
(+.f64 1 (/.f64 v (+.f64 1 e)))
(+.f64 1 (+.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 1 (+.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 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(+.f64 (sin.f64 v) 1)
(+.f64 (sin.f64 v) (+.f64 1 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))))
(+.f64 (sin.f64 v) (+.f64 1 (+.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 1 (+.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)))))))
1
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) 1)
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
1
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) 1)
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 1 (+.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 (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 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 (*.f64 e 1/24) (pow.f64 (+.f64 1 e) 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))))))
(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 (*.f64 e 1/24) (pow.f64 (+.f64 1 e) 2)))) (-.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 (*.f64 e 1/24) (pow.f64 (+.f64 1 e) 2)))))) (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)
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1
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1
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1
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(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
(/.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 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
(/.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 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
(/.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 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
(/.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 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 e (sin.f64 v))
0.1b
(*.f64 e (cos.f64 v))
0.2b
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2)
13.7b
(sqrt.f64 (*.f64 e (sin.f64 v)))
Compiler

Compiled 50 to 18 computations (64% saved)

series12.0ms (0.2%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
3.0ms
v
@0
(sqrt.f64 (*.f64 e (sin.f64 v)))
1.0ms
e
@-inf
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2)
1.0ms
v
@0
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2)
1.0ms
e
@0
(sqrt.f64 (*.f64 e (sin.f64 v)))
1.0ms
e
@0
(pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2)

rewrite64.0ms (0.9%)

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

simplify15.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06112
17112
Stop Event
saturated
Counts
66 → 51
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (sin.f64 v) e))
(sqrt.f64 (*.f64 (sin.f64 v) e))
(sqrt.f64 (*.f64 (sin.f64 v) e))
(sqrt.f64 (*.f64 (sin.f64 v) e))
(sqrt.f64 (*.f64 (sin.f64 v) e))
(sqrt.f64 (*.f64 (sin.f64 v) e))
(sqrt.f64 (*.f64 (sin.f64 v) e))
(sqrt.f64 (*.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
(sqrt.f64 (*.f64 (sin.f64 v) e))
(sqrt.f64 (*.f64 (sin.f64 v) e))
(sqrt.f64 (*.f64 (sin.f64 v) e))
(sqrt.f64 (*.f64 (sin.f64 v) e))
(sqrt.f64 (*.f64 (sin.f64 v) e))
(sqrt.f64 (*.f64 (sin.f64 v) e))
(sqrt.f64 (*.f64 (sin.f64 v) e))
(sqrt.f64 (*.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)

eval340.0ms (4.7%)

Compiler

Compiled 16700 to 9489 computations (43.2% saved)

prune194.0ms (2.7%)

Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New76821789
Fresh10313
Picked101
Done224
Total78126807
Error
0.0b
Counts
807 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
1.6b
(pow.f64 (/.f64 (+.f64 e 1) (*.f64 e (sin.f64 v))) -1)
31.5b
(/.f64 e (/.f64 (+.f64 e 1) v))
32.3b
(*.f64 v e)
1.7b
(*.f64 (sin.f64 v) e)
0.9b
(*.f64 e (/.f64 1 (/.f64 (+.f64 e 1) (sin.f64 v))))
46.2b
(*.f64 e (-.f64 1 1))
0.2b
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
15.3b
(+.f64 e (*.f64 (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) -1) e))
26.9b
(pow.f64 (sqrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) 2)
31.5b
(*.f64 e (/.f64 v (+.f64 e 1)))
60.2b
(sin.f64 v)
0.3b
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
0.3b
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
62.7b
(-.f64 v (/.f64 v e))
0.2b
(*.f64 e (/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))
15.9b
(*.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1))
0.8b
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
61.1b
v
31.5b
(/.f64 v (/.f64 (+.f64 1 e) e))
15.2b
(*.f64 e (+.f64 (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) -1) 1))
31.7b
(*.f64 e (-.f64 v (*.f64 v e)))
15.3b
(+.f64 (*.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) e) (*.f64 -1 e))
1.8b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) 3)
1.0b
(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e) -1)
0.4b
(/.f64 (*.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e)) (+.f64 1 (*.f64 e (cos.f64 v))))
0.3b
(/.f64 (*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) e) (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 2))
Compiler

Compiled 569 to 399 computations (29.9% saved)

localize20.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 44 to 21 computations (52.3% saved)

series9.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite70.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
528×log-prod_binary64
412×exp-prod_binary64
305×pow-prod-down_binary64
263×pow2_binary64
203×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01042
120739
2268639
Stop Event
node limit
Counts
3 → 157
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
(*.f64 e (/.f64 1 (/.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 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 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 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 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(/.f64 (fma.f64 e (cos.f64 v) 1) (neg.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 e (cos.f64 v) 1) 3) (pow.f64 (sin.f64 v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 e (cos.f64 v))) 1) (log.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (*.f64 e (cos.f64 v))) (*.f64 (log.f64 (sin.f64 v)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 e (cos.f64 v))) 1) (*.f64 (log.f64 (sin.f64 v)) 1)))))))

simplify72.0ms (1%)

Algorithm
egg-herbie
Rules
774×associate-*r*_binary64
384×associate-+l+_binary64
318×*-commutative_binary64
313×associate-+r+_binary64
269×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01882437
15812323
220282295
Stop Event
node limit
Counts
229 → 221
Calls
Call 1
Inputs
(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 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)))
(*.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
(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 (cos.f64 v) e))))
(-.f64 (sin.f64 v) (*.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) (fma.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)) (neg.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))))
(-.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)) 1) (sin.f64 v)) (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))
(*.f64 (sin.f64 v) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)) 1) (*.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) (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 (cos.f64 v) e))))))
(+.f64 (sin.f64 v) (-.f64 (fma.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)) (*.f64 (sin.f64 v) (neg.f64 (*.f64 (cos.f64 v) e)))) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(-.f64 (*.f64 (sin.f64 v) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)) 1) (*.f64 (cos.f64 v) e))) (*.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)) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)))))
(-.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (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)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (-.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) 2) (*.f64 e e)))))
(-.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 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 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)))) (-.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 (-.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 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (/.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)) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)))))
(-.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (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)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (-.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) 2) (*.f64 e e)))))
(-.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 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 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)))) (-.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 (-.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 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(+.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 e 1) 2)) (/.f64 1/6 (+.f64 e 1)))) (/.f64 v (+.f64 e 1)))
(-.f64 (/.f64 v (+.f64 e 1)) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1)))))
(+.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 e 1)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (+.f64 e 1) e)) (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) 1/24))) (fma.f64 -1 (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1)))) (/.f64 v (+.f64 e 1))))
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 1/2 (/.f64 e (/.f64 (+.f64 e 1) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))))) (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) 1/24)))) (-.f64 (/.f64 v (+.f64 e 1)) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))))))
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) 1/24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (/.f64 (+.f64 e 1) e) 1/2)))) (-.f64 (/.f64 v (+.f64 e 1)) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))))))
(+.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 e 1)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (+.f64 e 1) e)) (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) 1/24))) (fma.f64 -1 (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1)))) (fma.f64 -1 (*.f64 (pow.f64 v 7) (fma.f64 -1/720 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (+.f64 e 1) e)) (*.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) 1/24))) (/.f64 (+.f64 e 1) e)) (fma.f64 -1/24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (+.f64 e 1) e)) (/.f64 1/5040 (+.f64 e 1)))))) (/.f64 v (+.f64 e 1)))))
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 1/2 (/.f64 e (/.f64 (+.f64 e 1) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))))) (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) 1/24)))) (-.f64 (-.f64 (/.f64 v (+.f64 e 1)) (*.f64 (pow.f64 v 7) (fma.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) -1/720 (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 1/2 (/.f64 e (/.f64 (+.f64 e 1) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))))) (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) 1/24)))) (/.f64 (+.f64 e 1) e)) (fma.f64 (/.f64 e (/.f64 (+.f64 e 1) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))))) -1/24 (/.f64 1/5040 (+.f64 e 1))))))) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))))))
(-.f64 (fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) 1/24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (/.f64 (+.f64 e 1) e) 1/2)))) (-.f64 (/.f64 v (+.f64 e 1)) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1)))))) (*.f64 (pow.f64 v 7) (fma.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) -1/720 (fma.f64 -1/2 (*.f64 (/.f64 e (+.f64 e 1)) (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 (/.f64 e (pow.f64 (+.f64 e 1) 2)) 1/24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (/.f64 (+.f64 e 1) e) 1/2))))) (fma.f64 (*.f64 (/.f64 e (+.f64 e 1)) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1)))) -1/24 (/.f64 1/5040 (+.f64 e 1)))))))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 (*.f64 (cos.f64 v) e) 1))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
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(/.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 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) 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 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) 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 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) 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 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) 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 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) 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 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))
(/.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))
(+.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))
(+.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))
(/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))
(/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))
(*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e)
(+.f64 (/.f64 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))
(+.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))
(+.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))
(/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))
(/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))
(*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e)
(+.f64 (/.f64 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))
(+.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))
(+.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))
(/.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 (+.f64 e 1) -1/6)) v (+.f64 (/.f64 e v) (/.f64 1 v)))
(fma.f64 v (fma.f64 e -1/2 (+.f64 1/6 (*.f64 1/6 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))
(fma.f64 v (+.f64 (fma.f64 e -1/2 1/6) (*.f64 e 1/6)) (+.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))))))))
(fma.f64 (-.f64 (*.f64 e -1/2) (*.f64 (+.f64 e 1) -1/6)) v (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (*.f64 (pow.f64 v 3) (-.f64 (*.f64 e 1/24) (fma.f64 -1/6 (-.f64 (*.f64 e -1/2) (*.f64 (+.f64 e 1) -1/6)) (+.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 1/6 e)))))) (/.f64 1 v)) (fma.f64 v (fma.f64 e -1/2 (+.f64 1/6 (*.f64 1/6 e))) (/.f64 e v)))
(+.f64 (fma.f64 (pow.f64 v 3) (-.f64 (*.f64 e 1/24) (fma.f64 (+.f64 e 1) 1/120 (+.f64 (*.f64 1/12 e) (*.f64 -1/36 (+.f64 e 1))))) (/.f64 1 v)) (fma.f64 v (+.f64 (fma.f64 e -1/2 1/6) (*.f64 e 1/6)) (/.f64 e v)))
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 -1/720 e) (+.f64 (*.f64 -1/5040 (+.f64 1 e)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 e) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e)))) (*.f64 1/120 (+.f64 1 e))))) (*.f64 1/120 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e)))))))) (*.f64 (pow.f64 v 3) (-.f64 (*.f64 1/24 e) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e)))) (*.f64 1/120 (+.f64 1 e)))))))))
(fma.f64 (-.f64 (*.f64 e -1/2) (*.f64 (+.f64 e 1) -1/6)) v (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (fma.f64 (pow.f64 v 5) (-.f64 (*.f64 e -1/720) (fma.f64 -1/5040 (+.f64 e 1) (fma.f64 -1/6 (-.f64 (*.f64 e 1/24) (fma.f64 -1/6 (-.f64 (*.f64 e -1/2) (*.f64 (+.f64 e 1) -1/6)) (+.f64 1/120 (*.f64 e 1/120)))) (*.f64 1/120 (-.f64 (*.f64 e -1/2) (*.f64 (+.f64 e 1) -1/6)))))) (*.f64 (pow.f64 v 3) (-.f64 (*.f64 e 1/24) (fma.f64 -1/6 (-.f64 (*.f64 e -1/2) (*.f64 (+.f64 e 1) -1/6)) (+.f64 1/120 (*.f64 e 1/120)))))))))
(+.f64 (fma.f64 v (fma.f64 e -1/2 (+.f64 1/6 (*.f64 1/6 e))) (+.f64 (/.f64 e v) (/.f64 1 v))) (fma.f64 (pow.f64 v 5) (-.f64 (*.f64 e -1/720) (fma.f64 (+.f64 e 1) -1/5040 (fma.f64 1/120 (fma.f64 e -1/2 (+.f64 1/6 (*.f64 1/6 e))) (*.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 1/6 e)))))))))) (*.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 1/6 e)))))))))
(+.f64 (/.f64 1 v) (+.f64 (fma.f64 (pow.f64 v 5) (-.f64 (-.f64 (fma.f64 e -1/720 1/5040) (*.f64 e -1/5040)) (fma.f64 -1/6 (-.f64 (*.f64 e 1/24) (fma.f64 (+.f64 e 1) 1/120 (+.f64 (*.f64 1/12 e) (*.f64 -1/36 (+.f64 e 1))))) (+.f64 (*.f64 -1/240 e) (*.f64 1/720 (+.f64 e 1))))) (*.f64 (pow.f64 v 3) (-.f64 (*.f64 e 1/24) (fma.f64 (+.f64 e 1) 1/120 (+.f64 (*.f64 1/12 e) (*.f64 -1/36 (+.f64 e 1))))))) (fma.f64 v (+.f64 (fma.f64 e -1/2 1/6) (*.f64 e 1/6)) (/.f64 e v))))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 (*.f64 (cos.f64 v) e) 1) (sin.f64 v))
(/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))

localize3.0ms (0%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 12 computations (40% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite68.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
928×pow1_binary64
867×add-log-exp_binary64
867×log1p-expm1-u_binary64
867×expm1-log1p-u_binary64
849×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
115517
2230017
Stop Event
node limit
Counts
2 → 72
Calls
Call 1
Inputs
(/.f64 v (/.f64 (+.f64 1 e) e))
(/.f64 (+.f64 1 e) e)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 v (/.f64 e (+.f64 1 e)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 v (/.f64 e (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 v (/.f64 e (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (/.f64 v (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 v (/.f64 e (+.f64 1 e))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 v) 2) (*.f64 (cbrt.f64 v) (/.f64 e (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 v (/.f64 e (+.f64 1 e)))) (pow.f64 (cbrt.f64 (*.f64 v (/.f64 e (+.f64 1 e)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 v (/.f64 e (+.f64 1 e)))) 2) (cbrt.f64 (*.f64 v (/.f64 e (+.f64 1 e)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 v) (*.f64 (sqrt.f64 v) (/.f64 e (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 v (/.f64 e (+.f64 1 e)))) (sqrt.f64 (*.f64 v (/.f64 e (+.f64 1 e)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 v) (/.f64 1 (/.f64 (+.f64 (neg.f64 e) -1) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (+.f64 1 e)) v)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v (+.f64 1 e)) e)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) 1) (/.f64 (cbrt.f64 v) (/.f64 (+.f64 1 e) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 v) 1) (/.f64 (sqrt.f64 v) (/.f64 (+.f64 1 e) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 v) (+.f64 1 e)) (/.f64 (sqrt.f64 v) (/.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 e)) (/.f64 v (/.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (+.f64 1 e)) (/.f64 (cbrt.f64 v) (/.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 e) e)) 2)) (/.f64 v (cbrt.f64 (/.f64 (+.f64 1 e) e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 e) e)) 2)) (cbrt.f64 (*.f64 v (/.f64 e (+.f64 1 e)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 v) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 e) e)) 2)) (/.f64 (sqrt.f64 v) (cbrt.f64 (/.f64 (+.f64 1 e) e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 e) e))) (/.f64 v (sqrt.f64 (/.f64 (+.f64 1 e) e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (sqrt.f64 (/.f64 (+.f64 1 e) e))) (/.f64 (cbrt.f64 v) (sqrt.f64 (/.f64 (+.f64 1 e) 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 v (+.f64 (neg.f64 e) -1)) (neg.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 v (+.f64 1 e)) 1) e)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 v (+.f64 1 e)) (pow.f64 (cbrt.f64 e) 2)) (cbrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 v (+.f64 1 e)) (sqrt.f64 e)) (sqrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (/.f64 e (+.f64 1 e))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 v (/.f64 e (+.f64 1 e))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (/.f64 e (+.f64 1 e)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 v (/.f64 e (+.f64 1 e)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 e) (*.f64 v e)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 v (/.f64 (+.f64 (neg.f64 e) -1) e)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 v (/.f64 e (+.f64 1 e))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 v) (/.f64 e (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 v (/.f64 e (+.f64 1 e))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 v 3) (pow.f64 (/.f64 (+.f64 1 e) e) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (/.f64 e (+.f64 1 e)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (/.f64 e (+.f64 1 e)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 v (/.f64 e (+.f64 1 e)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 1 e) e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 e) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 e) (/.f64 1 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 e) e) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 e) e)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 e) e)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 e) e)) 2) (cbrt.f64 (/.f64 (+.f64 1 e) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 e)) 2) (*.f64 (cbrt.f64 (+.f64 1 e)) (/.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 e) e)) (sqrt.f64 (/.f64 (+.f64 1 e) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 e)) (*.f64 (sqrt.f64 (+.f64 1 e)) (/.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 e) -1) (/.f64 1 (neg.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 e) (+.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)) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 e)) 1) (/.f64 (sqrt.f64 (+.f64 1 e)) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 e) 2)) (/.f64 (+.f64 1 e) (cbrt.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 e)) 2) (pow.f64 (cbrt.f64 e) 2)) (cbrt.f64 (/.f64 (+.f64 1 e) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 e)) (pow.f64 (cbrt.f64 e) 2)) (/.f64 (sqrt.f64 (+.f64 1 e)) (cbrt.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 e)) (/.f64 (+.f64 1 e) (sqrt.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 e)) 2) (sqrt.f64 e)) (/.f64 (cbrt.f64 (+.f64 1 e)) (sqrt.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 e) e) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 e) e) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 e) e)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 e) e)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 e (+.f64 1 e)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 e) (neg.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 e) e) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 e) e)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 e) e) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 e) 3) (pow.f64 e 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 e) e)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 e) e)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 e) (log.f64 e)))))))

simplify52.0ms (0.7%)

Algorithm
egg-herbie
Rules
732×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
039365
1102353
2263343
3961326
44235319
Stop Event
node limit
Counts
108 → 92
Calls
Call 1
Inputs
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 v 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 1 e)
(+.f64 1 (/.f64 1 e))
(+.f64 1 (/.f64 1 e))
(+.f64 1 (/.f64 1 e))
1
(+.f64 (/.f64 1 e) 1)
(+.f64 (/.f64 1 e) 1)
(+.f64 (/.f64 1 e) 1)
1
(+.f64 (/.f64 1 e) 1)
(+.f64 (/.f64 1 e) 1)
(+.f64 (/.f64 1 e) 1)
Outputs
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.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 (*.f64 v e) (-.f64 (*.f64 e 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 (*.f64 e e))) (*.f64 v (pow.f64 e 4))))
(+.f64 (*.f64 v (-.f64 e (*.f64 e e))) (*.f64 v (-.f64 (pow.f64 e 3) (pow.f64 e 4))))
(*.f64 (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 v (-.f64 (/.f64 v e) (/.f64 v (*.f64 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 (/.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 (-.f64 v (/.f64 v e)) (/.f64 (-.f64 v (/.f64 v e)) (*.f64 e 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 v (-.f64 (/.f64 v e) (/.f64 v (*.f64 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 (/.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 (-.f64 v (/.f64 v e)) (/.f64 (-.f64 v (/.f64 v e)) (*.f64 e e)))
(*.f64 (+.f64 1 (/.f64 -1 e)) (+.f64 v (/.f64 v (*.f64 e e))))
(/.f64 1 e)
(+.f64 1 (/.f64 1 e))
(+.f64 1 (/.f64 1 e))
(+.f64 1 (/.f64 1 e))
1
(+.f64 (/.f64 1 e) 1)
(+.f64 1 (/.f64 1 e))
(+.f64 (/.f64 1 e) 1)
(+.f64 1 (/.f64 1 e))
(+.f64 (/.f64 1 e) 1)
(+.f64 1 (/.f64 1 e))
1
(+.f64 (/.f64 1 e) 1)
(+.f64 1 (/.f64 1 e))
(+.f64 (/.f64 1 e) 1)
(+.f64 1 (/.f64 1 e))
(+.f64 (/.f64 1 e) 1)
(+.f64 1 (/.f64 1 e))

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 34 to 20 computations (41.2% saved)

series9.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite70.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
498×log-prod_binary64
386×exp-prod_binary64
299×pow-prod-down_binary64
247×pow2_binary64
197×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0933
119730
2272430
Stop Event
node limit
Counts
3 → 159
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (+.f64 e 1) (sin.f64 v)))
(*.f64 e (/.f64 1 (/.f64 (+.f64 e 1) (sin.f64 v))))
(/.f64 (+.f64 e 1) (sin.f64 v))
Outputs
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((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) -2) (/.f64 (+.f64 1 e) (cbrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 e)) 2) (pow.f64 (cbrt.f64 (sin.f64 v)) 2)) (cbrt.f64 (/.f64 (+.f64 1 e) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 e)) (pow.f64 (cbrt.f64 (sin.f64 v)) 2)) (/.f64 (sqrt.f64 (+.f64 1 e)) (cbrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 v) -1/2) (/.f64 (+.f64 1 e) (sqrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 e)) 2) (sqrt.f64 (sin.f64 v))) (/.f64 (cbrt.f64 (+.f64 1 e)) (sqrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 e) (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 e) (log.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 e) (sin.f64 v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (+.f64 1 e))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 e) (sin.f64 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (+.f64 1 e))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 e) (sin.f64 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 1 e) 3) (pow.f64 (sin.f64 v) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 e) (log.f64 (sin.f64 v)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 e) (log.f64 (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 e) (log.f64 (sin.f64 v))))) (sqrt.f64 (-.f64 (log1p.f64 e) (log.f64 (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 e) (neg.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 e) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 e) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 e) (sin.f64 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 e) 3) (pow.f64 (sin.f64 v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 e) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 e) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 e) (log.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 e) (log.f64 (sin.f64 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (sin.f64 v)) (log1p.f64 e)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 e) (log.f64 (sin.f64 v)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 e) (log.f64 (sin.f64 v)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 e) (log.f64 (sin.f64 v)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 e) (log.f64 (sin.f64 v))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 e) (log.f64 (sin.f64 v))) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (sin.f64 v)) (log1p.f64 e)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log1p.f64 e) 1) (log.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 e) (*.f64 (log.f64 (sin.f64 v)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log1p.f64 e) 1) (*.f64 (log.f64 (sin.f64 v)) 1)))))))

simplify76.0ms (1.1%)

Algorithm
egg-herbie
Rules
664×fma-def_binary64
338×associate-*l*_binary64
338×distribute-rgt-neg-in_binary64
331×associate-*r*_binary64
330×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01181266
13771205
212661142
355281117
Stop Event
node limit
Counts
231 → 219
Calls
Call 1
Inputs
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (*.f64 (sin.f64 v) e)))
(+.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (+.f64 (sin.f64 v) (*.f64 -1 (*.f64 (sin.f64 v) e))))
(+.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 3))) (*.f64 -1 (*.f64 (sin.f64 v) e)))))
(/.f64 (sin.f64 v) e)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 2))) (/.f64 (sin.f64 v) e))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (/.f64 (sin.f64 v) e)))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (/.f64 (sin.f64 v) e) (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 4))))))
(/.f64 (sin.f64 v) e)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 2))) (/.f64 (sin.f64 v) e))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (/.f64 (sin.f64 v) e)))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (/.f64 (sin.f64 v) e) (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 4))))))
(/.f64 v (+.f64 1 e))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 v 3) (+.f64 1 e))) (/.f64 v (+.f64 1 e)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 v 3) (+.f64 1 e))) (+.f64 (/.f64 v (+.f64 1 e)) (*.f64 1/120 (/.f64 (pow.f64 v 5) (+.f64 1 e)))))
(+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 v 7) (+.f64 1 e))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 v 3) (+.f64 1 e))) (+.f64 (/.f64 v (+.f64 1 e)) (*.f64 1/120 (/.f64 (pow.f64 v 5) (+.f64 1 e))))))
(/.f64 (sin.f64 v) (+.f64 1 e))
(/.f64 (sin.f64 v) (+.f64 1 e))
(/.f64 (sin.f64 v) (+.f64 1 e))
(/.f64 (sin.f64 v) (+.f64 1 e))
(/.f64 (sin.f64 v) (+.f64 1 e))
(/.f64 (sin.f64 v) (+.f64 1 e))
(/.f64 (sin.f64 v) (+.f64 1 e))
(/.f64 (sin.f64 v) (+.f64 1 e))
(*.f64 (sin.f64 v) e)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (*.f64 (sin.f64 v) e))
(+.f64 (*.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (*.f64 (sin.f64 v) e)))
(+.f64 (*.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 4))) (*.f64 (sin.f64 v) e))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 3))))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 3))))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e))))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 v 7) e) (+.f64 1 e))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 1 (sin.f64 v))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(/.f64 e (sin.f64 v))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(/.f64 e (sin.f64 v))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(/.f64 (+.f64 1 e) v)
(+.f64 (*.f64 1/6 (*.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))
(+.f64 (*.f64 1/6 (*.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/36 (+.f64 1 e)) (*.f64 1/120 (+.f64 1 e))))))))
(+.f64 (*.f64 1/6 (*.f64 v (+.f64 1 e))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 5) (+.f64 (*.f64 1/720 (+.f64 1 e)) (+.f64 (*.f64 -1/5040 (+.f64 1 e)) (*.f64 1/6 (+.f64 (*.f64 -1/36 (+.f64 1 e)) (*.f64 1/120 (+.f64 1 e)))))))) (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/36 (+.f64 1 e)) (*.f64 1/120 (+.f64 1 e)))))))))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
Outputs
(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 (+.f64 (neg.f64 e) 1) (sin.f64 v))
(+.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (+.f64 (sin.f64 v) (*.f64 -1 (*.f64 (sin.f64 v) e))))
(fma.f64 (sin.f64 v) (*.f64 e e) (+.f64 (sin.f64 v) (neg.f64 (*.f64 (sin.f64 v) e))))
(-.f64 (*.f64 (+.f64 (*.f64 e e) 1) (sin.f64 v)) (*.f64 (sin.f64 v) e))
(*.f64 (sin.f64 v) (-.f64 (fma.f64 e e 1) e))
(+.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 3))) (*.f64 -1 (*.f64 (sin.f64 v) e)))))
(fma.f64 (sin.f64 v) (*.f64 e e) (+.f64 (sin.f64 v) (*.f64 -1 (+.f64 (*.f64 (sin.f64 v) (pow.f64 e 3)) (*.f64 (sin.f64 v) e)))))
(fma.f64 (sin.f64 v) (*.f64 e e) (fma.f64 -1 (*.f64 (sin.f64 v) (+.f64 (pow.f64 e 3) e)) (sin.f64 v)))
(-.f64 (*.f64 (sin.f64 v) (fma.f64 e e 1)) (*.f64 (sin.f64 v) (+.f64 e (pow.f64 e 3))))
(*.f64 (sin.f64 v) (-.f64 (fma.f64 e e 1) (+.f64 e (pow.f64 e 3))))
(/.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 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) e))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (/.f64 (sin.f64 v) e)))
(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e e)) (+.f64 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 e 3))))
(-.f64 (+.f64 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 e 3))) (/.f64 (sin.f64 v) (*.f64 e e)))
(-.f64 (/.f64 (sin.f64 v) e) (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) (*.f64 e e))))
(+.f64 (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 3)))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (/.f64 (sin.f64 v) e) (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 4))))))
(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (/.f64 (sin.f64 v) e) (neg.f64 (/.f64 (sin.f64 v) (pow.f64 e 4))))))
(-.f64 (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (-.f64 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 e e)))
(+.f64 (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) e)) (-.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (/.f64 (sin.f64 v) (pow.f64 e 4))))
(+.f64 (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) e)) (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) (pow.f64 e 3))))
(/.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 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) e))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (/.f64 (sin.f64 v) e)))
(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e e)) (+.f64 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 e 3))))
(-.f64 (+.f64 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 e 3))) (/.f64 (sin.f64 v) (*.f64 e e)))
(-.f64 (/.f64 (sin.f64 v) e) (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) (*.f64 e e))))
(+.f64 (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 3)))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (/.f64 (sin.f64 v) e) (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 4))))))
(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (/.f64 (sin.f64 v) e) (neg.f64 (/.f64 (sin.f64 v) (pow.f64 e 4))))))
(-.f64 (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (-.f64 (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 e e)))
(+.f64 (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) e)) (-.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (/.f64 (sin.f64 v) (pow.f64 e 4))))
(+.f64 (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) e)) (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) (pow.f64 e 3))))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 v 3) (+.f64 1 e))) (/.f64 v (+.f64 1 e)))
(fma.f64 -1/6 (/.f64 (pow.f64 v 3) (+.f64 e 1)) (/.f64 v (+.f64 e 1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 v 3) (+.f64 1 e))) (+.f64 (/.f64 v (+.f64 1 e)) (*.f64 1/120 (/.f64 (pow.f64 v 5) (+.f64 1 e)))))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 v 3) (+.f64 e 1)) (/.f64 v (+.f64 e 1))) (*.f64 1/120 (/.f64 (pow.f64 v 5) (+.f64 e 1))))
(fma.f64 -1/6 (/.f64 (pow.f64 v 3) (+.f64 e 1)) (fma.f64 1/120 (/.f64 (pow.f64 v 5) (+.f64 e 1)) (/.f64 v (+.f64 e 1))))
(+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 v 7) (+.f64 1 e))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 v 3) (+.f64 1 e))) (+.f64 (/.f64 v (+.f64 1 e)) (*.f64 1/120 (/.f64 (pow.f64 v 5) (+.f64 1 e))))))
(fma.f64 -1/5040 (/.f64 (pow.f64 v 7) (+.f64 e 1)) (+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 v 3) (+.f64 e 1)) (/.f64 v (+.f64 e 1))) (*.f64 1/120 (/.f64 (pow.f64 v 5) (+.f64 e 1)))))
(fma.f64 -1/5040 (/.f64 (pow.f64 v 7) (+.f64 e 1)) (fma.f64 -1/6 (/.f64 (pow.f64 v 3) (+.f64 e 1)) (fma.f64 1/120 (/.f64 (pow.f64 v 5) (+.f64 e 1)) (/.f64 v (+.f64 e 1)))))
(fma.f64 -1/6 (/.f64 (pow.f64 v 3) (+.f64 e 1)) (fma.f64 -1/5040 (/.f64 (pow.f64 v 7) (+.f64 e 1)) (fma.f64 1/120 (/.f64 (pow.f64 v 5) (+.f64 e 1)) (/.f64 v (+.f64 e 1)))))
(/.f64 (sin.f64 v) (+.f64 1 e))
(/.f64 (sin.f64 v) (+.f64 e 1))
(/.f64 (sin.f64 v) (+.f64 1 e))
(/.f64 (sin.f64 v) (+.f64 e 1))
(/.f64 (sin.f64 v) (+.f64 1 e))
(/.f64 (sin.f64 v) (+.f64 e 1))
(/.f64 (sin.f64 v) (+.f64 1 e))
(/.f64 (sin.f64 v) (+.f64 e 1))
(/.f64 (sin.f64 v) (+.f64 1 e))
(/.f64 (sin.f64 v) (+.f64 e 1))
(/.f64 (sin.f64 v) (+.f64 1 e))
(/.f64 (sin.f64 v) (+.f64 e 1))
(/.f64 (sin.f64 v) (+.f64 1 e))
(/.f64 (sin.f64 v) (+.f64 e 1))
(/.f64 (sin.f64 v) (+.f64 1 e))
(/.f64 (sin.f64 v) (+.f64 e 1))
(*.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))
(fma.f64 (sin.f64 v) e (*.f64 (sin.f64 v) (neg.f64 (*.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)))
(+.f64 (*.f64 (sin.f64 v) (neg.f64 (*.f64 e e))) (*.f64 (sin.f64 v) (+.f64 (pow.f64 e 3) e)))
(*.f64 (sin.f64 v) (+.f64 (*.f64 e (neg.f64 e)) (+.f64 e (pow.f64 e 3))))
(*.f64 (sin.f64 v) (*.f64 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))))
(+.f64 (*.f64 (neg.f64 (sin.f64 v)) (+.f64 (*.f64 e e) (pow.f64 e 4))) (*.f64 (sin.f64 v) (+.f64 (pow.f64 e 3) e)))
(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))))
(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 (/.f64 (sin.f64 v) (*.f64 e e)) (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)))
(-.f64 (sin.f64 v) (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) 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 (sin.f64 v) (-.f64 (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) (*.f64 e e))) (/.f64 (sin.f64 v) e)))
(-.f64 (-.f64 (sin.f64 v) (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) e))) (/.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) (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 (/.f64 (sin.f64 v) (*.f64 e e)) (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)))
(-.f64 (sin.f64 v) (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) 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 (sin.f64 v) (-.f64 (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) (*.f64 e e))) (/.f64 (sin.f64 v) e)))
(-.f64 (-.f64 (sin.f64 v) (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 (sin.f64 v) e))) (/.f64 (sin.f64 v) (pow.f64 e 3)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(/.f64 e (/.f64 (+.f64 e 1) v))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))
(fma.f64 -1/6 (/.f64 (pow.f64 v 3) (/.f64 (+.f64 e 1) e)) (/.f64 v (/.f64 (+.f64 e 1) e)))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 v 3) (+.f64 e 1)) e) (/.f64 e (/.f64 (+.f64 e 1) v)))
(fma.f64 (/.f64 v (+.f64 e 1)) e (*.f64 -1/6 (*.f64 e (/.f64 (pow.f64 v 3) (+.f64 e 1)))))
(*.f64 e (fma.f64 -1/6 (/.f64 (pow.f64 v 3) (+.f64 e 1)) (/.f64 v (+.f64 e 1))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e))))
(fma.f64 -1/6 (/.f64 (pow.f64 v 3) (/.f64 (+.f64 e 1) e)) (fma.f64 1/120 (/.f64 (pow.f64 v 5) (/.f64 (+.f64 e 1) e)) (/.f64 v (/.f64 (+.f64 e 1) e))))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 v 3) (+.f64 e 1)) e) (fma.f64 1/120 (/.f64 e (/.f64 (+.f64 e 1) (pow.f64 v 5))) (/.f64 e (/.f64 (+.f64 e 1) v))))
(fma.f64 (/.f64 v (+.f64 e 1)) e (fma.f64 -1/6 (*.f64 e (/.f64 (pow.f64 v 3) (+.f64 e 1))) (*.f64 1/120 (/.f64 e (/.f64 (+.f64 e 1) (pow.f64 v 5))))))
(fma.f64 (/.f64 v (+.f64 e 1)) e (*.f64 e (fma.f64 -1/6 (/.f64 (pow.f64 v 3) (+.f64 e 1)) (/.f64 1/120 (/.f64 (+.f64 e 1) (pow.f64 v 5))))))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 v 7) e) (+.f64 1 e))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))))
(fma.f64 -1/5040 (/.f64 (pow.f64 v 7) (/.f64 (+.f64 e 1) e)) (fma.f64 -1/6 (/.f64 (pow.f64 v 3) (/.f64 (+.f64 e 1) e)) (fma.f64 1/120 (/.f64 (pow.f64 v 5) (/.f64 (+.f64 e 1) e)) (/.f64 v (/.f64 (+.f64 e 1) e)))))
(fma.f64 -1/5040 (/.f64 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 e (/.f64 (+.f64 e 1) (pow.f64 v 5))) (/.f64 e (/.f64 (+.f64 e 1) v)))))
(fma.f64 -1/5040 (*.f64 e (/.f64 (pow.f64 v 7) (+.f64 e 1))) (fma.f64 (/.f64 v (+.f64 e 1)) e (fma.f64 -1/6 (*.f64 e (/.f64 (pow.f64 v 3) (+.f64 e 1))) (*.f64 1/120 (/.f64 e (/.f64 (+.f64 e 1) (pow.f64 v 5)))))))
(+.f64 (*.f64 e (fma.f64 1/120 (/.f64 (pow.f64 v 5) (+.f64 e 1)) (/.f64 v (+.f64 e 1)))) (*.f64 e (fma.f64 -1/5040 (/.f64 (pow.f64 v 7) (+.f64 e 1)) (/.f64 (pow.f64 v 3) (/.f64 (+.f64 e 1) -1/6)))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e 1)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e 1)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e 1)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e 1)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e 1)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e 1)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e 1)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 e 1)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 1 (sin.f64 v))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(/.f64 e (sin.f64 v))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(/.f64 e (sin.f64 v))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (sin.f64 v)))
(/.f64 (+.f64 1 e) v)
(/.f64 (+.f64 e 1) v)
(+.f64 (*.f64 1/6 (*.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))
(fma.f64 1/6 (*.f64 v (+.f64 e 1)) (+.f64 (/.f64 e v) (/.f64 1 v)))
(+.f64 (/.f64 1 v) (fma.f64 1/6 (+.f64 v (*.f64 v e)) (/.f64 e v)))
(+.f64 (/.f64 1 v) (fma.f64 1/6 (fma.f64 v e v) (/.f64 e v)))
(+.f64 (/.f64 e v) (fma.f64 1/6 (fma.f64 v e v) (/.f64 1 v)))
(+.f64 (*.f64 1/6 (*.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/36 (+.f64 1 e)) (*.f64 1/120 (+.f64 1 e))))))))
(fma.f64 1/6 (*.f64 v (+.f64 e 1)) (+.f64 (+.f64 (/.f64 e v) (/.f64 1 v)) (neg.f64 (*.f64 (pow.f64 v 3) (*.f64 (+.f64 e 1) -7/360)))))
(+.f64 (-.f64 (/.f64 1 v) (*.f64 (+.f64 e 1) (*.f64 -7/360 (pow.f64 v 3)))) (fma.f64 1/6 (+.f64 v (*.f64 v e)) (/.f64 e v)))
(+.f64 (fma.f64 (pow.f64 v 3) (*.f64 (+.f64 e 1) 7/360) (/.f64 1 v)) (fma.f64 1/6 (fma.f64 v e v) (/.f64 e v)))
(+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (*.f64 (+.f64 e 1) (+.f64 (*.f64 v 1/6) (*.f64 (pow.f64 v 3) 7/360)))))
(+.f64 (*.f64 1/6 (*.f64 v (+.f64 1 e))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 5) (+.f64 (*.f64 1/720 (+.f64 1 e)) (+.f64 (*.f64 -1/5040 (+.f64 1 e)) (*.f64 1/6 (+.f64 (*.f64 -1/36 (+.f64 1 e)) (*.f64 1/120 (+.f64 1 e)))))))) (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/36 (+.f64 1 e)) (*.f64 1/120 (+.f64 1 e)))))))))
(fma.f64 1/6 (*.f64 v (+.f64 e 1)) (fma.f64 -1 (*.f64 (pow.f64 v 5) (fma.f64 1/720 (+.f64 e 1) (fma.f64 -1/5040 (+.f64 e 1) (*.f64 1/6 (*.f64 (+.f64 e 1) -7/360))))) (+.f64 (+.f64 (/.f64 e v) (/.f64 1 v)) (neg.f64 (*.f64 (pow.f64 v 3) (*.f64 (+.f64 e 1) -7/360))))))
(fma.f64 1/6 (+.f64 v (*.f64 v e)) (+.f64 (-.f64 (/.f64 1 v) (*.f64 (+.f64 e 1) (*.f64 -7/360 (pow.f64 v 3)))) (fma.f64 (neg.f64 (pow.f64 v 5)) (+.f64 (*.f64 (+.f64 e 1) -7/2160) (*.f64 (+.f64 e 1) 1/840)) (/.f64 e v))))
(+.f64 (-.f64 (/.f64 e v) (*.f64 (pow.f64 v 5) (*.f64 (+.f64 e 1) -31/15120))) (fma.f64 1/6 (fma.f64 v e v) (fma.f64 (pow.f64 v 3) (*.f64 (+.f64 e 1) 7/360) (/.f64 1 v))))
(+.f64 (fma.f64 (pow.f64 v 3) (*.f64 (+.f64 e 1) 7/360) (/.f64 1 v)) (fma.f64 1/6 (fma.f64 v e v) (fma.f64 (pow.f64 v 5) (*.f64 (+.f64 e 1) 31/15120) (/.f64 e v))))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 e 1) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 e 1) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 e 1) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 e 1) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 e 1) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 e 1) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 e 1) (sin.f64 v))
(/.f64 (+.f64 1 e) (sin.f64 v))
(/.f64 (+.f64 e 1) (sin.f64 v))

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 e (+.f64 e 1))
0.2b
(*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))
0.2b
(pow.f64 (sqrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) 2)
13.7b
(sqrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)))
Compiler

Compiled 44 to 26 computations (40.9% saved)

series16.0ms (0.2%)

Counts
4 → 68
Calls

21 calls:

TimeVariablePointExpression
2.0ms
v
@0
(pow.f64 (sqrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) 2)
1.0ms
e
@0
(pow.f64 (sqrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) 2)
1.0ms
e
@-inf
(sqrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)))
1.0ms
e
@-inf
(pow.f64 (sqrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) 2)
1.0ms
e
@0
(sqrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)))

rewrite77.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
488×log-prod_binary64
366×exp-prod_binary64
318×pow-prod-down_binary64
257×pow2_binary64
181×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
123545
2273745
Stop Event
node limit
Counts
4 → 191
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) 2)
(*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))
(/.f64 e (+.f64 e 1))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 e (sin.f64 v))) (*.f64 (log1p.f64 e) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 e (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 e (+.f64 e 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 e (+.f64 e 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 e (+.f64 e 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 e (+.f64 e 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 e (+.f64 e 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (/.f64 1 (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 e (+.f64 e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (+.f64 e 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 e (+.f64 e 1))) (pow.f64 (cbrt.f64 (/.f64 e (+.f64 e 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 e (+.f64 e 1))) 2) (cbrt.f64 (/.f64 e (+.f64 e 1))))))) (#(struct:change #<rule 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(expm1.f64 (/.f64 e (+.f64 e 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 e (+.f64 e 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 e 3) (pow.f64 (+.f64 e 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 e (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 e (+.f64 e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 e) (log1p.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 e) (log1p.f64 e)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 e) (log1p.f64 e))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 e (+.f64 e 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 e (+.f64 e 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 e) (log.f64 e)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 e) (log1p.f64 e)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 e) 1) (log1p.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 e) (*.f64 (log1p.f64 e) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 e) 1) (*.f64 (log1p.f64 e) 1)))))))

simplify76.0ms (1.1%)

Algorithm
egg-herbie
Rules
922×fma-def_binary64
407×associate-*l*_binary64
379×sub-neg_binary64
366×unsub-neg_binary64
360×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01571683
14791511
217291371
369641371
Stop Event
node limit
Counts
259 → 226
Calls
Call 1
Inputs
(sqrt.f64 (sin.f64 v))
(+.f64 (sqrt.f64 (sin.f64 v)) (*.f64 -1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 e))))
(+.f64 (sqrt.f64 (sin.f64 v)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (/.f64 (+.f64 (*.f64 -1 (sin.f64 v)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (sin.f64 v))) 2)) (pow.f64 e 2)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 e)))))
(+.f64 (sqrt.f64 (sin.f64 v)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (/.f64 (+.f64 (*.f64 -1 (sin.f64 v)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (sin.f64 v))) 2)) (pow.f64 e 2)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 e))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (/.f64 (+.f64 (sin.f64 v) (*.f64 1/2 (+.f64 (*.f64 -1 (sin.f64 v)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (sin.f64 v))) 2)))) (pow.f64 e 3)))))))
(*.f64 (sqrt.f64 (sin.f64 v)) (pow.f64 (sqrt.f64 -1) 2))
(+.f64 (*.f64 (sqrt.f64 (sin.f64 v)) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 e))))
(+.f64 (*.f64 (sqrt.f64 (sin.f64 v)) (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (/.f64 (+.f64 (sin.f64 v) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 e 2)))) (*.f64 1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 e)))))
(+.f64 (*.f64 (sqrt.f64 (sin.f64 v)) (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (/.f64 (+.f64 (sin.f64 v) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 e 2)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 e))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (/.f64 (+.f64 (sin.f64 v) (*.f64 1/2 (/.f64 (+.f64 (sin.f64 v) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 e 3)))))))
(sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e)))
(sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e)))
(sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e)))
(sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e)))
(sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e)))
(sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e)))
(sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e)))
(sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 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 (*.f64 1/4 (/.f64 (sin.f64 v) (pow.f64 e 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (sin.f64 v)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (sin.f64 v))) 2)) (pow.f64 e 2))))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (sin.f64 v) (*.f64 1/2 (+.f64 (*.f64 -1 (sin.f64 v)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (sin.f64 v))) 2)))) (pow.f64 e 3))) (+.f64 (*.f64 1/4 (/.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (sin.f64 v)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (sin.f64 v))) 2)) (pow.f64 e 2))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (sin.f64 v)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (sin.f64 v))) 2)) (pow.f64 e 3))))))))
(*.f64 (sin.f64 v) (pow.f64 (sqrt.f64 -1) 4))
(+.f64 (/.f64 (*.f64 (sin.f64 v) (pow.f64 (sqrt.f64 -1) 2)) e) (*.f64 (sin.f64 v) (pow.f64 (sqrt.f64 -1) 4)))
(+.f64 (/.f64 (*.f64 (sin.f64 v) (pow.f64 (sqrt.f64 -1) 2)) e) (+.f64 (*.f64 1/4 (/.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (sin.f64 v) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (sqrt.f64 -1)))) 2))) (pow.f64 e 2))) (*.f64 (sin.f64 v) (pow.f64 (sqrt.f64 -1) 4)))))
(+.f64 (/.f64 (*.f64 (sin.f64 v) (pow.f64 (sqrt.f64 -1) 2)) e) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (+.f64 (sin.f64 v) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (sqrt.f64 -1)))) 2))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (sin.f64 v) (*.f64 1/2 (/.f64 (+.f64 (sin.f64 v) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 (sqrt.f64 -1) 2))))))) (pow.f64 e 3))) (+.f64 (*.f64 1/4 (/.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (sin.f64 v) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (sqrt.f64 -1)))) 2))) (pow.f64 e 2))) (*.f64 (sin.f64 v) (pow.f64 (sqrt.f64 -1) 4))))))
(/.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))
(*.f64 (sin.f64 v) e)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (*.f64 (sin.f64 v) e))
(+.f64 (*.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (*.f64 (sin.f64 v) e)))
(+.f64 (*.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 4))) (*.f64 (sin.f64 v) e))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 3))))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 3))))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e))))
(+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 v 7) e) (+.f64 1 e))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
e
(+.f64 (*.f64 -1 (pow.f64 e 2)) e)
(+.f64 (*.f64 -1 (pow.f64 e 2)) (+.f64 (pow.f64 e 3) e))
(+.f64 (*.f64 -1 (pow.f64 e 2)) (+.f64 (*.f64 -1 (pow.f64 e 4)) (+.f64 (pow.f64 e 3) e)))
1
(-.f64 1 (/.f64 1 e))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 e 2))) (/.f64 1 e))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 e 2))) (+.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 3))))
1
(-.f64 1 (/.f64 1 e))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 e 2))) (/.f64 1 e))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 e 2))) (+.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 3))))
Outputs
(sqrt.f64 (sin.f64 v))
(+.f64 (sqrt.f64 (sin.f64 v)) (*.f64 -1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 e))))
(fma.f64 -1/2 (/.f64 (sqrt.f64 (sin.f64 v)) e) (sqrt.f64 (sin.f64 v)))
(*.f64 (sqrt.f64 (sin.f64 v)) (+.f64 (/.f64 -1/2 e) 1))
(+.f64 (sqrt.f64 (sin.f64 v)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (/.f64 (+.f64 (*.f64 -1 (sin.f64 v)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (sin.f64 v))) 2)) (pow.f64 e 2)))) (*.f64 -1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 e)))))
(+.f64 (sqrt.f64 (sin.f64 v)) (*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (/.f64 (fma.f64 -1 (sin.f64 v) (pow.f64 (*.f64 (sqrt.f64 (sin.f64 v)) -1/2) 2)) (*.f64 e e))) (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 e)))))
(fma.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (sin.f64 v)) -1/2) 2) (sin.f64 v)) (*.f64 e e)) (/.f64 (sqrt.f64 (sin.f64 v)) e)) (sqrt.f64 (sin.f64 v)))
(fma.f64 -1/2 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (/.f64 (-.f64 (*.f64 (sin.f64 v) 1/4) (sin.f64 v)) (*.f64 e e)) (/.f64 (sqrt.f64 (sin.f64 v)) e)) (sqrt.f64 (sin.f64 v)))
(+.f64 (sqrt.f64 (sin.f64 v)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (/.f64 (+.f64 (*.f64 -1 (sin.f64 v)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (sin.f64 v))) 2)) (pow.f64 e 2)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 e))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (/.f64 (+.f64 (sin.f64 v) (*.f64 1/2 (+.f64 (*.f64 -1 (sin.f64 v)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (sin.f64 v))) 2)))) (pow.f64 e 3)))))))
(+.f64 (sqrt.f64 (sin.f64 v)) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (/.f64 (fma.f64 -1 (sin.f64 v) (pow.f64 (*.f64 (sqrt.f64 (sin.f64 v)) -1/2) 2)) (*.f64 e e))) (*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 e)) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (/.f64 (+.f64 (sin.f64 v) (*.f64 (fma.f64 -1 (sin.f64 v) (pow.f64 (*.f64 (sqrt.f64 (sin.f64 v)) -1/2) 2)) 1/2)) (pow.f64 e 3)))))))
(+.f64 (sqrt.f64 (sin.f64 v)) (*.f64 -1/2 (+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (sin.f64 v)) -1/2) 2) (sin.f64 v)) (*.f64 e e)) (/.f64 (sqrt.f64 (sin.f64 v)) e)) (/.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (/.f64 (pow.f64 e 3) (fma.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (sin.f64 v)) -1/2) 2) (sin.f64 v)) 1/2 (sin.f64 v)))))))
(+.f64 (*.f64 (sqrt.f64 (sin.f64 v)) (+.f64 (/.f64 -1/2 e) 1)) (*.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (sin.f64 v)))) (+.f64 (/.f64 (-.f64 (*.f64 (sin.f64 v) 1/4) (sin.f64 v)) (*.f64 e e)) (/.f64 (+.f64 (*.f64 (sin.f64 v) 1/8) (*.f64 (sin.f64 v) 1/2)) (pow.f64 e 3)))))
(*.f64 (sqrt.f64 (sin.f64 v)) (pow.f64 (sqrt.f64 -1) 2))
(*.f64 (sqrt.f64 (sin.f64 v)) -1)
(neg.f64 (sqrt.f64 (sin.f64 v)))
(+.f64 (*.f64 (sqrt.f64 (sin.f64 v)) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 e))))
(fma.f64 (sqrt.f64 (sin.f64 v)) (pow.f64 (sqrt.f64 -1) 2) (*.f64 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 e)) 1/2))
(fma.f64 (sqrt.f64 (sin.f64 v)) -1 (*.f64 (/.f64 (sqrt.f64 (sin.f64 v)) e) 1/2))
(*.f64 (sqrt.f64 (sin.f64 v)) (+.f64 -1 (/.f64 1/2 e)))
(+.f64 (*.f64 (sqrt.f64 (sin.f64 v)) (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (/.f64 (+.f64 (sin.f64 v) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 e 2)))) (*.f64 1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 e)))))
(fma.f64 (sqrt.f64 (sin.f64 v)) (pow.f64 (sqrt.f64 -1) 2) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (/.f64 (+.f64 (sin.f64 v) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (sqrt.f64 -1)))) 2)) (*.f64 e e))) (*.f64 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 e)) 1/2)))
(fma.f64 (sqrt.f64 (sin.f64 v)) -1 (fma.f64 -1/2 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) e) (/.f64 (+.f64 (sin.f64 v) (pow.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 (sin.f64 v)) (sqrt.f64 -1))) 2)) e)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 v)) e) 1/2)))
(fma.f64 -1/2 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (*.f64 e e)) (+.f64 (sin.f64 v) (/.f64 (/.f64 (*.f64 (sin.f64 v) 1/4) (sqrt.f64 -1)) (sqrt.f64 -1)))) (*.f64 (sqrt.f64 (sin.f64 v)) (+.f64 -1 (/.f64 1/2 e))))
(+.f64 (*.f64 (sqrt.f64 (sin.f64 v)) (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (/.f64 (+.f64 (sin.f64 v) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 e 2)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 e))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (/.f64 (+.f64 (sin.f64 v) (*.f64 1/2 (/.f64 (+.f64 (sin.f64 v) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 e 3)))))))
(fma.f64 (sqrt.f64 (sin.f64 v)) (pow.f64 (sqrt.f64 -1) 2) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (/.f64 (+.f64 (sin.f64 v) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (sqrt.f64 -1)))) 2)) (*.f64 e e))) (*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 e)) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (/.f64 (+.f64 (sin.f64 v) (*.f64 1/2 (/.f64 (+.f64 (sin.f64 v) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (pow.f64 e 3)))))))
(fma.f64 (sqrt.f64 (sin.f64 v)) -1 (fma.f64 1/2 (+.f64 (/.f64 (sqrt.f64 (sin.f64 v)) e) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (+.f64 (sin.f64 v) (/.f64 (+.f64 (sin.f64 v) (pow.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 (sin.f64 v)) (sqrt.f64 -1))) 2)) -2))) (pow.f64 e 3))) (*.f64 -1/2 (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) e) (/.f64 (+.f64 (sin.f64 v) (pow.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 (sin.f64 v)) (sqrt.f64 -1))) 2)) e)))))
(+.f64 (*.f64 (sqrt.f64 (sin.f64 v)) (+.f64 -1 (/.f64 1/2 e))) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 v))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (sin.f64 v) (*.f64 -1/2 (+.f64 (sin.f64 v) (/.f64 (/.f64 (*.f64 (sin.f64 v) 1/4) (sqrt.f64 -1)) (sqrt.f64 -1))))) (pow.f64 e 3))) (/.f64 (*.f64 -1/2 (+.f64 (sin.f64 v) (/.f64 (/.f64 (*.f64 (sin.f64 v) 1/4) (sqrt.f64 -1)) (sqrt.f64 -1)))) (*.f64 e e)))))
(sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e)))
(sqrt.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e)))
(sqrt.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e))
(sqrt.f64 (*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e))))
(sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e)))
(sqrt.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e)))
(sqrt.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e))
(sqrt.f64 (*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e))))
(sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e)))
(sqrt.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e)))
(sqrt.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e))
(sqrt.f64 (*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e))))
(sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e)))
(sqrt.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e)))
(sqrt.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e))
(sqrt.f64 (*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e))))
(sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e)))
(sqrt.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e)))
(sqrt.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e))
(sqrt.f64 (*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e))))
(sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e)))
(sqrt.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e)))
(sqrt.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e))
(sqrt.f64 (*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e))))
(sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e)))
(sqrt.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e)))
(sqrt.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e))
(sqrt.f64 (*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e))))
(sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e)))
(sqrt.f64 (/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e)))
(sqrt.f64 (*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e))
(sqrt.f64 (*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (/.f64 (neg.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 (*.f64 1/4 (/.f64 (sin.f64 v) (pow.f64 e 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (sin.f64 v)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (sin.f64 v))) 2)) (pow.f64 e 2))))))
(+.f64 (sin.f64 v) (fma.f64 -1 (/.f64 (sin.f64 v) e) (fma.f64 1/4 (/.f64 (sin.f64 v) (*.f64 e e)) (neg.f64 (/.f64 (fma.f64 -1 (sin.f64 v) (pow.f64 (*.f64 (sqrt.f64 (sin.f64 v)) -1/2) 2)) (*.f64 e e))))))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (-.f64 (*.f64 (/.f64 1/4 e) (/.f64 (sin.f64 v) e)) (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (sin.f64 v)) -1/2) 2) (sin.f64 v)) (*.f64 e e))))
(+.f64 (/.f64 (+.f64 (sin.f64 v) (*.f64 (sin.f64 v) -1/4)) (*.f64 e e)) (+.f64 (sin.f64 v) (*.f64 (/.f64 (sin.f64 v) e) (+.f64 -1 (/.f64 1/4 e)))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (sin.f64 v) (*.f64 1/2 (+.f64 (*.f64 -1 (sin.f64 v)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (sin.f64 v))) 2)))) (pow.f64 e 3))) (+.f64 (*.f64 1/4 (/.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (sin.f64 v)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (sin.f64 v))) 2)) (pow.f64 e 2))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (sin.f64 v)) (pow.f64 (*.f64 -1/2 (sqrt.f64 (sin.f64 v))) 2)) (pow.f64 e 3))))))))
(+.f64 (sin.f64 v) (fma.f64 -1 (/.f64 (sin.f64 v) e) (fma.f64 -1 (/.f64 (+.f64 (sin.f64 v) (*.f64 (fma.f64 -1 (sin.f64 v) (pow.f64 (*.f64 (sqrt.f64 (sin.f64 v)) -1/2) 2)) 1/2)) (pow.f64 e 3)) (fma.f64 1/4 (/.f64 (sin.f64 v) (*.f64 e e)) (fma.f64 -1 (/.f64 (fma.f64 -1 (sin.f64 v) (pow.f64 (*.f64 (sqrt.f64 (sin.f64 v)) -1/2) 2)) (*.f64 e e)) (*.f64 1/2 (/.f64 (fma.f64 -1 (sin.f64 v) (pow.f64 (*.f64 (sqrt.f64 (sin.f64 v)) -1/2) 2)) (pow.f64 e 3))))))))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (-.f64 (fma.f64 1/4 (/.f64 (sin.f64 v) (*.f64 e e)) (-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (sin.f64 v)) -1/2) 2) (sin.f64 v)) (/.f64 (pow.f64 e 3) 1/2)) (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (sin.f64 v)) -1/2) 2) (sin.f64 v)) (*.f64 e e)))) (/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (sin.f64 v)) -1/2) 2) (sin.f64 v)) 1/2 (sin.f64 v)) (pow.f64 e 3))))
(+.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 v) 1/4) (sin.f64 v)) (*.f64 e e)) (+.f64 -1 (/.f64 1/2 e))) (/.f64 (+.f64 (*.f64 (sin.f64 v) 1/8) (*.f64 (sin.f64 v) 1/2)) (pow.f64 e 3))) (+.f64 (sin.f64 v) (*.f64 (/.f64 (sin.f64 v) e) (+.f64 -1 (/.f64 1/4 e)))))
(+.f64 (/.f64 (-.f64 (*.f64 (sin.f64 v) -1/2) (*.f64 (sin.f64 v) 1/8)) (pow.f64 e 3)) (+.f64 (+.f64 (sin.f64 v) (*.f64 (/.f64 (sin.f64 v) e) (+.f64 -1 (/.f64 1/4 e)))) (*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 v) 1/4) (sin.f64 v)) (*.f64 e e)) (+.f64 -1 (/.f64 1/2 e)))))
(*.f64 (sin.f64 v) (pow.f64 (sqrt.f64 -1) 4))
(sin.f64 v)
(+.f64 (/.f64 (*.f64 (sin.f64 v) (pow.f64 (sqrt.f64 -1) 2)) e) (*.f64 (sin.f64 v) (pow.f64 (sqrt.f64 -1) 4)))
(+.f64 (sin.f64 v) (/.f64 (neg.f64 (sin.f64 v)) e))
(-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e))
(+.f64 (/.f64 (*.f64 (sin.f64 v) (pow.f64 (sqrt.f64 -1) 2)) e) (+.f64 (*.f64 1/4 (/.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (sin.f64 v) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (sqrt.f64 -1)))) 2))) (pow.f64 e 2))) (*.f64 (sin.f64 v) (pow.f64 (sqrt.f64 -1) 4)))))
(+.f64 (/.f64 (sin.f64 v) (/.f64 e (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 1/4 (/.f64 (sin.f64 v) (*.f64 e e)) (fma.f64 -1 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (*.f64 e e) (+.f64 (sin.f64 v) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (sqrt.f64 -1)))) 2)))) (*.f64 (sin.f64 v) (pow.f64 (sqrt.f64 -1) 4)))))
(+.f64 (fma.f64 1/4 (/.f64 (sin.f64 v) (*.f64 e e)) (/.f64 1 (/.f64 e (/.f64 (+.f64 (sin.f64 v) (pow.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 (sin.f64 v)) (sqrt.f64 -1))) 2)) e)))) (fma.f64 (sin.f64 v) 1 (neg.f64 (/.f64 (sin.f64 v) e))))
(+.f64 (sin.f64 v) (+.f64 (/.f64 (+.f64 (sin.f64 v) (/.f64 (/.f64 (*.f64 (sin.f64 v) 1/4) (sqrt.f64 -1)) (sqrt.f64 -1))) (*.f64 e e)) (*.f64 (/.f64 (sin.f64 v) e) (+.f64 -1 (/.f64 1/4 e)))))
(+.f64 (/.f64 (*.f64 (sin.f64 v) (pow.f64 (sqrt.f64 -1) 2)) e) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (+.f64 (sin.f64 v) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (sqrt.f64 -1)))) 2))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (sin.f64 v) (*.f64 1/2 (/.f64 (+.f64 (sin.f64 v) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 (sqrt.f64 -1) 2))))))) (pow.f64 e 3))) (+.f64 (*.f64 1/4 (/.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (sin.f64 v) (pow.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (sqrt.f64 -1)))) 2))) (pow.f64 e 2))) (*.f64 (sin.f64 v) (pow.f64 (sqrt.f64 -1) 4))))))
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(+.f64 (*.f64 (/.f64 (sin.f64 v) e) (+.f64 -1 (/.f64 1/4 e))) (+.f64 (/.f64 (+.f64 (sin.f64 v) (/.f64 (/.f64 (*.f64 (sin.f64 v) 1/4) (sqrt.f64 -1)) (sqrt.f64 -1))) (*.f64 e e)) (-.f64 (sin.f64 v) (/.f64 (fma.f64 1/2 (+.f64 (sin.f64 v) (/.f64 (/.f64 (*.f64 (sin.f64 v) 1/4) (sqrt.f64 -1)) (sqrt.f64 -1))) (+.f64 (sin.f64 v) (*.f64 -1/2 (+.f64 (sin.f64 v) (/.f64 (/.f64 (*.f64 (sin.f64 v) 1/4) (sqrt.f64 -1)) (sqrt.f64 -1)))))) (pow.f64 e 3)))))
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(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(*.f64 (sin.f64 v) 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) (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))))
(sin.f64 v)
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(+.f64 (sin.f64 v) (/.f64 (neg.f64 (sin.f64 v)) e))
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(+.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))) (/.f64 (neg.f64 (sin.f64 v)) (pow.f64 e 3))))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (/.f64 (sin.f64 v) (pow.f64 e 3))))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 (+.f64 1 (/.f64 -1 e)) (/.f64 (sin.f64 v) (*.f64 e e))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (/.f64 (neg.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))) (/.f64 (neg.f64 (sin.f64 v)) (pow.f64 e 3))))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (/.f64 (sin.f64 v) (pow.f64 e 3))))
(+.f64 (-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e)) (*.f64 (+.f64 1 (/.f64 -1 e)) (/.f64 (sin.f64 v) (*.f64 e e))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 1 e) e))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))
(fma.f64 -1/6 (/.f64 (pow.f64 v 3) (/.f64 (+.f64 1 e) e)) (/.f64 v (/.f64 (+.f64 1 e) e)))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 v 3) (+.f64 1 e)) e) (/.f64 v (/.f64 (+.f64 1 e) e)))
(fma.f64 -1/6 (*.f64 e (/.f64 (pow.f64 v 3) (+.f64 1 e))) (/.f64 v (/.f64 (+.f64 1 e) e)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e))))
(fma.f64 -1/6 (/.f64 (pow.f64 v 3) (/.f64 (+.f64 1 e) e)) (fma.f64 1/120 (/.f64 (pow.f64 v 5) (/.f64 (+.f64 1 e) e)) (/.f64 v (/.f64 (+.f64 1 e) e))))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 v 3) (+.f64 1 e)) e) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 v 5) (+.f64 1 e)) e) (/.f64 v (/.f64 (+.f64 1 e) e))))
(fma.f64 -1/6 (*.f64 e (/.f64 (pow.f64 v 3) (+.f64 1 e))) (fma.f64 1/120 (*.f64 e (/.f64 (pow.f64 v 5) (+.f64 1 e))) (/.f64 v (/.f64 (+.f64 1 e) 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)))))
(fma.f64 -1/5040 (/.f64 (pow.f64 v 7) (/.f64 (+.f64 1 e) e)) (fma.f64 -1/6 (/.f64 (pow.f64 v 3) (/.f64 (+.f64 1 e) e)) (fma.f64 1/120 (/.f64 (pow.f64 v 5) (/.f64 (+.f64 1 e) e)) (/.f64 v (/.f64 (+.f64 1 e) e)))))
(fma.f64 -1/5040 (*.f64 (/.f64 (pow.f64 v 7) (+.f64 1 e)) e) (fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 v 3) (+.f64 1 e)) e) (fma.f64 1/120 (*.f64 (/.f64 (pow.f64 v 5) (+.f64 1 e)) e) (/.f64 v (/.f64 (+.f64 1 e) e)))))
(fma.f64 -1/6 (*.f64 e (/.f64 (pow.f64 v 3) (+.f64 1 e))) (fma.f64 -1/5040 (*.f64 e (/.f64 (pow.f64 v 7) (+.f64 1 e))) (fma.f64 1/120 (*.f64 e (/.f64 (pow.f64 v 5) (+.f64 1 e))) (/.f64 v (/.f64 (+.f64 1 e) e)))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (sin.f64 v) (/.f64 (+.f64 1 e) e))
(*.f64 (/.f64 (sin.f64 v) (+.f64 1 e)) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
e
(+.f64 (*.f64 -1 (pow.f64 e 2)) e)
(fma.f64 -1 (*.f64 e e) e)
(-.f64 e (*.f64 e e))
(+.f64 (*.f64 -1 (pow.f64 e 2)) (+.f64 (pow.f64 e 3) e))
(fma.f64 -1 (*.f64 e e) (+.f64 e (pow.f64 e 3)))
(+.f64 (pow.f64 e 3) (-.f64 e (*.f64 e e)))
(fma.f64 (*.f64 e e) (+.f64 e -1) e)
(+.f64 (*.f64 -1 (pow.f64 e 2)) (+.f64 (*.f64 -1 (pow.f64 e 4)) (+.f64 (pow.f64 e 3) e)))
(fma.f64 -1 (*.f64 e e) (fma.f64 -1 (pow.f64 e 4) (+.f64 e (pow.f64 e 3))))
(-.f64 (-.f64 (+.f64 e (pow.f64 e 3)) (pow.f64 e 4)) (*.f64 e e))
(-.f64 (+.f64 e (pow.f64 e 3)) (fma.f64 e e (pow.f64 e 4)))
1
(-.f64 1 (/.f64 1 e))
(+.f64 1 (/.f64 -1 e))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 e 2))) (/.f64 1 e))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 e e))) (/.f64 1 e))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 e e)) (/.f64 -1 e)))
(+.f64 (/.f64 1 (*.f64 e e)) (+.f64 1 (/.f64 -1 e)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 e 2))) (+.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 3))))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 e e))) (+.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 3))))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 e e))) (-.f64 (/.f64 -1 e) (/.f64 1 (pow.f64 e 3))))
(+.f64 (/.f64 1 (*.f64 e e)) (+.f64 (+.f64 1 (/.f64 -1 (pow.f64 e 3))) (/.f64 -1 e)))
(+.f64 (/.f64 1 (*.f64 e e)) (+.f64 1 (+.f64 (/.f64 -1 e) (/.f64 -1 (pow.f64 e 3)))))
1
(-.f64 1 (/.f64 1 e))
(+.f64 1 (/.f64 -1 e))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 e 2))) (/.f64 1 e))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 e e))) (/.f64 1 e))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 e e)) (/.f64 -1 e)))
(+.f64 (/.f64 1 (*.f64 e e)) (+.f64 1 (/.f64 -1 e)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 e 2))) (+.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 3))))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 e e))) (+.f64 (/.f64 1 e) (/.f64 1 (pow.f64 e 3))))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 e e))) (-.f64 (/.f64 -1 e) (/.f64 1 (pow.f64 e 3))))
(+.f64 (/.f64 1 (*.f64 e e)) (+.f64 (+.f64 1 (/.f64 -1 (pow.f64 e 3))) (/.f64 -1 e)))
(+.f64 (/.f64 1 (*.f64 e e)) (+.f64 1 (+.f64 (/.f64 -1 e) (/.f64 -1 (pow.f64 e 3)))))

eval299.0ms (4.2%)

Compiler

Compiled 13439 to 8115 computations (39.6% saved)

prune154.0ms (2.2%)

Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New74414758
Fresh91019
Picked101
Done336
Total75727784
Error
0.0b
Counts
784 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
32.3b
(/.f64 v (/.f64 1 e))
0.9b
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
30.8b
(*.f64 e (/.f64 1 (+.f64 (*.f64 1/6 (*.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))))
31.7b
(*.f64 e (-.f64 v (*.f64 v e)))
15.3b
(+.f64 (*.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) e) (*.f64 -1 e))
31.5b
(*.f64 e (/.f64 1 (/.f64 (+.f64 e 1) v)))
31.5b
(*.f64 (neg.f64 v) (/.f64 1 (/.f64 (+.f64 (neg.f64 e) -1) e)))
1.2b
(/.f64 (sqrt.f64 e) (/.f64 (/.f64 (+.f64 1 e) (sin.f64 v)) (sqrt.f64 e)))
1.0b
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
31.5b
(/.f64 e (/.f64 (+.f64 e 1) v))
32.3b
(*.f64 v e)
46.2b
(*.f64 e (-.f64 1 1))
0.2b
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
15.3b
(+.f64 e (*.f64 (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) -1) e))
1.7b
(/.f64 1 (/.f64 (/.f64 (+.f64 1 e) (sin.f64 v)) e))
1.8b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) 3)
1.1b
(*.f64 (*.f64 (sin.f64 v) (sqrt.f64 (/.f64 e (+.f64 e 1)))) (sqrt.f64 (/.f64 e (+.f64 e 1))))
30.8b
(*.f64 e (/.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v)))))
31.5b
(*.f64 e (/.f64 v (+.f64 e 1)))
60.2b
(sin.f64 v)
15.9b
(*.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1))
1.7b
(*.f64 (sin.f64 v) e)
61.1b
v
0.2b
(*.f64 e (/.f64 1 (/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))))
27.1b
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
62.7b
(-.f64 v (/.f64 v e))
15.9b
(*.f64 e (log.f64 (exp.f64 (/.f64 (sin.f64 v) (+.f64 1 e)))))
Compiler

Compiled 582 to 416 computations (28.5% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 52 to 22 computations (57.7% saved)

series7.0ms (0.1%)

Counts
3 → 64
Calls

18 calls:

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

rewrite69.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
610×log-prod_binary64
370×prod-diff_binary64
299×pow2_binary64
256×fma-def_binary64
241×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01148
123639
2322039
Stop Event
node limit
Counts
3 → 126
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v)))
(*.f64 e (/.f64 1 (/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 e) 2) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) (cbrt.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 e) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) (sqrt.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 e) (/.f64 (neg.f64 (fma.f64 (cos.f64 v) e 1)) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 e (sqrt.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))) (sqrt.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 e 1) (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 e (fma.f64 (cos.f64 v) e 1)) (/.f64 1 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 e (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) 2)) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 e) (/.f64 (neg.f64 (fma.f64 (cos.f64 v) e 1)) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e -1) (/.f64 (neg.f64 (fma.f64 (cos.f64 v) e 1)) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 e 3) (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 e 3) (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) -3) (pow.f64 e 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) e) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 e 3) (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 e 3) (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) -3) (pow.f64 e 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 v) e 1) (/.f64 1 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 v) e 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 v) e 1)) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 v) e 1)) 1) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 v) e 1)) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) -2) (/.f64 (fma.f64 (cos.f64 v) e 1) (cbrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 v) e 1)) 2) (pow.f64 (cbrt.f64 (sin.f64 v)) 2)) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 v) e 1)) (pow.f64 (cbrt.f64 (sin.f64 v)) 2)) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 v) e 1)) (cbrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 v) -1/2) (/.f64 (fma.f64 (cos.f64 v) e 1) (sqrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 v) e 1)) 2) (sqrt.f64 (sin.f64 v))) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 v) e 1)) (sqrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 v) e 1) 3) (pow.f64 (sin.f64 v) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (neg.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 v) e 1) 3) (pow.f64 (sin.f64 v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) 1))))))

simplify64.0ms (0.9%)

Algorithm
egg-herbie
Rules
772×associate-*r*_binary64
379×associate-+l+_binary64
323×*-commutative_binary64
312×associate-+r+_binary64
269×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01872325
15802227
220302199
Stop Event
node limit
Counts
190 → 188
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 (+.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 1 (sin.f64 v))
(+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (/.f64 1 (sin.f64 v)))
(+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (/.f64 1 (sin.f64 v)))
(+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (/.f64 1 (sin.f64 v)))
(/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
Outputs
(/.f64 v (+.f64 1 e))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e)))
(fma.f64 -1 (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))) (/.f64 v (+.f64 1 e)))
(-.f64 (/.f64 v (+.f64 1 e)) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))))
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e))))
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) (*.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24))) (fma.f64 -1 (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))) (/.f64 v (+.f64 1 e))))
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) (/.f64 (*.f64 e 1/24) (pow.f64 (+.f64 1 e) 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))))))
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (/.f64 (+.f64 1 e) e) 1/2)))) (-.f64 (/.f64 v (+.f64 1 e)) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))))))
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 7) (+.f64 (*.f64 -1/720 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2))))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/5040 (/.f64 1 (+.f64 1 e)))))))) (/.f64 v (+.f64 1 e)))))
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) (*.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24))) (fma.f64 -1 (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))) (fma.f64 -1 (*.f64 (pow.f64 v 7) (fma.f64 -1/720 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) (*.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24))) (/.f64 (+.f64 1 e) e)) (fma.f64 -1/24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) (/.f64 1/5040 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e)))))
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) (/.f64 (*.f64 e 1/24) (pow.f64 (+.f64 1 e) 2)))) (-.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 (/.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 1/24) (pow.f64 (+.f64 1 e) 2)))) (+.f64 1 e)) e) (fma.f64 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) -1/24 (/.f64 1/5040 (+.f64 1 e))))))) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))))))
(-.f64 (fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (/.f64 (+.f64 1 e) e) 1/2)))) (-.f64 (/.f64 v (+.f64 1 e)) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))))) (*.f64 (pow.f64 v 7) (fma.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) -1/720 (fma.f64 -1/2 (*.f64 (/.f64 e (+.f64 1 e)) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (/.f64 (+.f64 1 e) e) 1/2))))) (fma.f64 (*.f64 e (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (+.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)))))
(-.f64 (sin.f64 v) (*.f64 e (*.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))))
(+.f64 (sin.f64 v) (fma.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)) (neg.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))))))
(-.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)) 1) (sin.f64 v)) (*.f64 e (*.f64 (sin.f64 v) (cos.f64 v))))
(*.f64 (sin.f64 v) (-.f64 (+.f64 1 (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (*.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 (fma.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)) (*.f64 (*.f64 (neg.f64 (sin.f64 v)) (cos.f64 v)) e)) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(-.f64 (*.f64 (sin.f64 v) (-.f64 (+.f64 1 (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (*.f64 e (cos.f64 v)))) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))
(/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e)
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)))))
(-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)))
(-.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 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))))
(-.f64 (/.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 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))))
(+.f64 (-.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 (/.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 (sin.f64 v) (*.f64 (cos.f64 v) e))
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))
(/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e)
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)))))
(-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)))
(-.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 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))))
(-.f64 (/.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 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))))
(+.f64 (-.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 (/.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 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e))
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (*.f64 e (sin.f64 v)))
(-.f64 (*.f64 e (sin.f64 v)) (*.f64 (cos.f64 v) (*.f64 (*.f64 e e) (sin.f64 v))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
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(fma.f64 (fma.f64 -1/2 e (neg.f64 (+.f64 -1/6 (*.f64 e -1/6)))) 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)))
(fma.f64 v (+.f64 (fma.f64 e -1/2 1/6) (*.f64 e 1/6)) (+.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))))))))
(fma.f64 (fma.f64 -1/2 e (neg.f64 (+.f64 -1/6 (*.f64 e -1/6)))) v (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (*.f64 (pow.f64 v 3) (-.f64 (*.f64 e 1/24) (fma.f64 -1/6 (fma.f64 -1/2 e (neg.f64 (+.f64 -1/6 (*.f64 e -1/6)))) (+.f64 1/120 (*.f64 1/120 e))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (-.f64 (*.f64 e 1/24) (fma.f64 (+.f64 1 e) 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 (fma.f64 (pow.f64 v 3) (-.f64 (-.f64 (fma.f64 e 1/24 (+.f64 -1/120 (*.f64 -1/120 e))) (*.f64 1/12 e)) (*.f64 -1/36 (+.f64 1 e))) (/.f64 1 v)) (fma.f64 v (+.f64 (fma.f64 e -1/2 1/6) (*.f64 e 1/6)) (/.f64 e v)))
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 -1/720 e) (+.f64 (*.f64 -1/5040 (+.f64 1 e)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 e) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e)))) (*.f64 1/120 (+.f64 1 e))))) (*.f64 1/120 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e)))))))) (*.f64 (pow.f64 v 3) (-.f64 (*.f64 1/24 e) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e)))) (*.f64 1/120 (+.f64 1 e)))))))))
(fma.f64 (fma.f64 -1/2 e (neg.f64 (+.f64 -1/6 (*.f64 e -1/6)))) v (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (fma.f64 (pow.f64 v 5) (-.f64 (*.f64 e -1/720) (fma.f64 -1/5040 (+.f64 1 e) (fma.f64 -1/6 (-.f64 (*.f64 e 1/24) (fma.f64 -1/6 (fma.f64 -1/2 e (neg.f64 (+.f64 -1/6 (*.f64 e -1/6)))) (+.f64 1/120 (*.f64 1/120 e)))) (*.f64 1/120 (fma.f64 -1/2 e (neg.f64 (+.f64 -1/6 (*.f64 e -1/6)))))))) (*.f64 (pow.f64 v 3) (-.f64 (*.f64 e 1/24) (fma.f64 -1/6 (fma.f64 -1/2 e (neg.f64 (+.f64 -1/6 (*.f64 e -1/6)))) (+.f64 1/120 (*.f64 1/120 e)))))))))
(+.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 1 e) -1/5040 (fma.f64 1/120 (fma.f64 e -1/2 (+.f64 1/6 (*.f64 e 1/6))) (*.f64 -1/6 (-.f64 (*.f64 e 1/24) (fma.f64 (+.f64 1 e) 1/120 (*.f64 -1/6 (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 1 e) 1/120 (*.f64 -1/6 (fma.f64 e -1/2 (+.f64 1/6 (*.f64 e 1/6)))))))))
(+.f64 (/.f64 1 v) (+.f64 (fma.f64 (pow.f64 v 5) (-.f64 (+.f64 (fma.f64 e -1/720 1/5040) (*.f64 1/5040 e)) (fma.f64 -1/6 (-.f64 (-.f64 (fma.f64 e 1/24 (+.f64 -1/120 (*.f64 -1/120 e))) (*.f64 1/12 e)) (*.f64 -1/36 (+.f64 1 e))) (+.f64 (*.f64 -1/240 e) (*.f64 1/720 (+.f64 1 e))))) (*.f64 (pow.f64 v 3) (-.f64 (-.f64 (fma.f64 e 1/24 (+.f64 -1/120 (*.f64 -1/120 e))) (*.f64 1/12 e)) (*.f64 -1/36 (+.f64 1 e))))) (fma.f64 v (+.f64 (fma.f64 e -1/2 1/6) (*.f64 e 1/6)) (/.f64 e 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 (*.f64 e (cos.f64 v)) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (/.f64 1 (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (/.f64 1 (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (/.f64 (sin.f64 v) (cos.f64 v))))
(/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))
(/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v))
(*.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 (*.f64 e (cos.f64 v)) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(+.f64 (/.f64 1 (sin.f64 v)) (/.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 (*.f64 e (cos.f64 v)) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(+.f64 (/.f64 1 (sin.f64 v)) (/.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 (*.f64 e (cos.f64 v)) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (/.f64 (sin.f64 v) (cos.f64 v))))
(/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))
(/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v))
(*.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 (*.f64 e (cos.f64 v)) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(+.f64 (/.f64 1 (sin.f64 v)) (/.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 (*.f64 e (cos.f64 v)) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(+.f64 (/.f64 1 (sin.f64 v)) (/.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 (*.f64 e (cos.f64 v)) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 e (/.f64 (sin.f64 v) (cos.f64 v))))

localize5.0ms (0.1%)

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 29 to 19 computations (34.5% saved)

series6.0ms (0.1%)

Counts
3 → 72
Calls

18 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 1 (/.f64 (+.f64 e 1) v))
0.0ms
e
@0
(/.f64 (+.f64 e 1) v)
0.0ms
e
@-inf
(/.f64 (+.f64 e 1) v)

rewrite62.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
954×pow1_binary64
889×log1p-expm1-u_binary64
889×expm1-log1p-u_binary64
888×add-log-exp_binary64
90×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0827
117824
2250024
Stop Event
node limit
Counts
3 → 97
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (+.f64 e 1) v))
(/.f64 (+.f64 e 1) v)
(*.f64 e (/.f64 1 (/.f64 (+.f64 e 1) v)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 v (+.f64 1 e)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 v (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 v (/.f64 1 (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v (+.f64 1 e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 v (+.f64 1 e))) (pow.f64 (cbrt.f64 (/.f64 v (+.f64 1 e))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 v (+.f64 1 e))) 2) (cbrt.f64 (/.f64 v (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 v (+.f64 1 e))) (sqrt.f64 (/.f64 v (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (+.f64 -1 (neg.f64 e)) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 e)) v)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 e)) (pow.f64 (/.f64 1 v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 e) v)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 e) v)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 e) v)) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 e) v)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) 1) (/.f64 (cbrt.f64 v) (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 v) 1) (/.f64 (sqrt.f64 v) (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 e)) 2)) (/.f64 v (cbrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (pow.f64 (cbrt.f64 (+.f64 1 e)) 2)) (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 v) (pow.f64 (cbrt.f64 (+.f64 1 e)) 2)) (/.f64 (sqrt.f64 v) (cbrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 e))) (/.f64 v (sqrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (sqrt.f64 (+.f64 1 e))) (/.f64 (cbrt.f64 v) (sqrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 v) (sqrt.f64 (+.f64 1 e))) (/.f64 (sqrt.f64 v) (sqrt.f64 (+.f64 1 e))))))) (#(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 *.f64 (/.f64 1 (+.f64 -1 (neg.f64 e))) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 e)) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 e)) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 e)) (sqrt.f64 v)) (sqrt.f64 v))))) (#(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 v (+.f64 1 e)) 1)))) (#(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 (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 sqrt.f64 (pow.f64 (/.f64 (+.f64 1 e) v) -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 cbrt.f64 (/.f64 (pow.f64 v 3) (pow.f64 (+.f64 1 e) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 v (+.f64 1 e))))))) (#(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 -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 e) v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 e) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 e) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 e) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 e) v)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 e) v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 e) v)) 2) (cbrt.f64 (/.f64 (+.f64 1 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 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 e) v)) (sqrt.f64 (/.f64 (+.f64 1 e) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 e)) (*.f64 (sqrt.f64 (+.f64 1 e)) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 e)) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 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)) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 e)) 1) (/.f64 (sqrt.f64 (+.f64 1 e)) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 (+.f64 1 e) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 e)) 2) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (/.f64 (+.f64 1 e) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 e)) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (sqrt.f64 (+.f64 1 e)) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 (+.f64 1 e) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 e)) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 (+.f64 1 e)) (sqrt.f64 v)))))) (#(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 v (+.f64 1 e)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 e) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 e) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 e) v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 e) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 e) v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 e) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 e) v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 e) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 e) 3) (pow.f64 v 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 e) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 e) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 e) (log.f64 v)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 e (+.f64 1 e)) v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (+.f64 1 e) v) e))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 e (/.f64 (+.f64 1 e) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 e) 2) (/.f64 (/.f64 (+.f64 1 e) v) (cbrt.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 e) (/.f64 (/.f64 (+.f64 1 e) v) (sqrt.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 e) (/.f64 (+.f64 -1 (neg.f64 e)) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 e (sqrt.f64 (/.f64 (+.f64 1 e) v))) (sqrt.f64 (/.f64 (+.f64 1 e) v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 e 1) (/.f64 (+.f64 1 e) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 e (+.f64 1 e)) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 e (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 e) v)) 2)) (cbrt.f64 (/.f64 (+.f64 1 e) v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 e) (/.f64 (+.f64 -1 (neg.f64 e)) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e -1) (/.f64 (+.f64 -1 (neg.f64 e)) v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 e (+.f64 1 e)) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 e (+.f64 1 e)) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 e (+.f64 1 e)) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 e (+.f64 1 e)) v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 e (+.f64 1 e)) v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 e) (/.f64 v (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 e (+.f64 1 e)) v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 e (+.f64 1 e)) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 e 3) (pow.f64 (/.f64 (+.f64 1 e) v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 e 3) (pow.f64 (/.f64 v (+.f64 1 e)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 v (+.f64 1 e)) 3) (pow.f64 e 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 e (+.f64 1 e)) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 e (+.f64 1 e)) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 e (+.f64 1 e)) v)))))))

simplify62.0ms (0.9%)

Algorithm
egg-herbie
Rules
491×sub-neg_binary64
484×distribute-rgt-neg-in_binary64
456×fma-neg_binary64
400×distribute-lft-neg-in_binary64
340×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059768
1161742
2433725
31542682
45603682
Stop Event
node limit
Counts
169 → 134
Calls
Call 1
Inputs
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 (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 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)
(*.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
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 e (-.f64 (*.f64 v e) v)))
(+.f64 v (*.f64 v (fma.f64 e e (neg.f64 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 (*.f64 e e) (-.f64 (*.f64 v e) v))))
(*.f64 (+.f64 (*.f64 e e) 1) (-.f64 v (*.f64 v e)))
(/.f64 v e)
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e))
(fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e))
(-.f64 (/.f64 v e) (/.f64 (/.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 (/.f64 -1 e) 1) (/.f64 v (*.f64 e e))))
(-.f64 (/.f64 v e) (/.f64 (-.f64 v (/.f64 v e)) (*.f64 e e)))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3)))))
(+.f64 (fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e)) (fma.f64 -1 (/.f64 v (pow.f64 e 4)) (/.f64 v (pow.f64 e 3))))
(+.f64 (-.f64 (/.f64 v e) (/.f64 (/.f64 v e) e)) (-.f64 (/.f64 v (pow.f64 e 3)) (/.f64 v (pow.f64 e 4))))
(-.f64 (-.f64 (/.f64 v e) (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 v (*.f64 e e)))) (/.f64 v (pow.f64 e 4)))
(-.f64 (-.f64 (/.f64 v e) (/.f64 (-.f64 v (/.f64 v e)) (*.f64 e e))) (/.f64 v (pow.f64 e 4)))
(/.f64 v e)
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e))
(fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e))
(-.f64 (/.f64 v e) (/.f64 (/.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 (/.f64 -1 e) 1) (/.f64 v (*.f64 e e))))
(-.f64 (/.f64 v e) (/.f64 (-.f64 v (/.f64 v e)) (*.f64 e e)))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3)))))
(+.f64 (fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e)) (fma.f64 -1 (/.f64 v (pow.f64 e 4)) (/.f64 v (pow.f64 e 3))))
(+.f64 (-.f64 (/.f64 v e) (/.f64 (/.f64 v e) e)) (-.f64 (/.f64 v (pow.f64 e 3)) (/.f64 v (pow.f64 e 4))))
(-.f64 (-.f64 (/.f64 v e) (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 v (*.f64 e e)))) (/.f64 v (pow.f64 e 4)))
(-.f64 (-.f64 (/.f64 v e) (/.f64 (-.f64 v (/.f64 v e)) (*.f64 e e))) (/.f64 v (pow.f64 e 4)))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 e 1))
(/.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)
(*.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 v (pow.f64 e 3) (*.f64 (*.f64 e e) (neg.f64 v))))
(fma.f64 v e (*.f64 (*.f64 e e) (-.f64 (*.f64 v e) v)))
(*.f64 v (-.f64 (pow.f64 e 3) (fma.f64 e e (neg.f64 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 v (pow.f64 e 3) (*.f64 (*.f64 e e) (neg.f64 v))) (*.f64 v (pow.f64 e 4))))
(+.f64 (*.f64 v (-.f64 e (*.f64 e e))) (*.f64 v (-.f64 (pow.f64 e 3) (pow.f64 e 4))))
(*.f64 (-.f64 e (*.f64 e e)) (fma.f64 v (*.f64 e e) v))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (neg.f64 (/.f64 v e)))
(-.f64 v (/.f64 v e))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (/.f64 v (*.f64 e e))))
(+.f64 (/.f64 (/.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 (/.f64 -1 e) 1) (/.f64 v (*.f64 e e))) (/.f64 v e)))
(+.f64 (-.f64 v (/.f64 v e)) (/.f64 (-.f64 v (/.f64 v e)) (*.f64 e e)))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (neg.f64 (/.f64 v e)))
(-.f64 v (/.f64 v e))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (/.f64 v (*.f64 e e))))
(+.f64 (/.f64 (/.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 (/.f64 -1 e) 1) (/.f64 v (*.f64 e e))) (/.f64 v e)))
(+.f64 (-.f64 v (/.f64 v e)) (/.f64 (-.f64 v (/.f64 v e)) (*.f64 e e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 v (/.f64 e (+.f64 e 1)))

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

rewrite38.0ms (0.5%)

Algorithm
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
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
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
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))))

localize10.0ms (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)
13.7b
(sqrt.f64 (*.f64 (sin.f64 v) e))
Compiler

Compiled 23 to 8 computations (65.2% saved)

series4.0ms (0.1%)

Counts
2 → 8
Calls

12 calls:

TimeVariablePointExpression
0.0ms
v
@0
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
0.0ms
v
@0
(sqrt.f64 (*.f64 (sin.f64 v) e))
0.0ms
e
@-inf
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
0.0ms
e
@0
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
0.0ms
e
@inf
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)

rewrite49.0ms (0.7%)

Algorithm
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
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)))))))

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0548
1648
Stop Event
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)

eval138.0ms (1.9%)

Compiler

Compiled 7681 to 4473 computations (41.8% saved)

prune78.0ms (1.1%)

Pruning

29 alts after pruning (22 fresh and 7 done)

PrunedKeptTotal
New4396445
Fresh31619
Picked011
Done167
Total44329472
Error
0.0b
Counts
472 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
32.3b
(/.f64 v (/.f64 1 e))
0.9b
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
30.8b
(*.f64 e (/.f64 1 (+.f64 (*.f64 1/6 (*.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))))
31.5b
(*.f64 (neg.f64 v) (/.f64 1 (/.f64 (+.f64 (neg.f64 e) -1) e)))
1.2b
(/.f64 (sqrt.f64 e) (/.f64 (/.f64 (+.f64 1 e) (sin.f64 v)) (sqrt.f64 e)))
1.0b
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
31.5b
(/.f64 e (/.f64 (+.f64 e 1) v))
32.3b
(*.f64 v e)
46.2b
(*.f64 e (-.f64 1 1))
0.2b
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
15.3b
(+.f64 e (*.f64 (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) -1) e))
1.7b
(/.f64 1 (/.f64 (/.f64 (+.f64 1 e) (sin.f64 v)) e))
30.8b
(*.f64 e (/.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v)))))
31.5b
(*.f64 e (/.f64 v (+.f64 e 1)))
60.2b
(sin.f64 v)
31.7b
(*.f64 e (-.f64 v (*.f64 v e)))
2.6b
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)
32.3b
(*.f64 e (/.f64 1 (/.f64 1 v)))
1.9b
(*.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))
27.1b
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
45.4b
(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)
15.9b
(*.f64 e (log.f64 (exp.f64 (/.f64 (sin.f64 v) (+.f64 1 e)))))
31.9b
(/.f64 1 (/.f64 (/.f64 (+.f64 1 e) v) e))
15.9b
(*.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1))
1.7b
(*.f64 (sin.f64 v) e)
61.1b
v
0.2b
(*.f64 e (/.f64 1 (/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))))
15.3b
(+.f64 (*.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) e) (*.f64 -1 e))
62.7b
(-.f64 v (/.f64 v e))
Compiler

Compiled 313 to 223 computations (28.8% saved)

regimes98.0ms (1.4%)

Counts
61 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(/.f64 v (/.f64 1 e))
(*.f64 e (-.f64 1 1))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e (/.f64 1 (/.f64 1 v)))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (/.f64 (+.f64 1 e) e))
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(/.f64 1 (/.f64 (/.f64 (+.f64 1 e) v) e))
(*.f64 e (/.f64 1 (/.f64 (+.f64 e 1) v)))
(*.f64 (neg.f64 v) (/.f64 1 (/.f64 (+.f64 (neg.f64 e) -1) e)))
(*.f64 e (/.f64 1 (+.f64 (*.f64 1/6 (*.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))))
(*.f64 e (/.f64 1 (+.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) e)
(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(*.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(/.f64 1 (/.f64 (/.f64 (+.f64 1 e) (sin.f64 v)) e))
(*.f64 e (/.f64 1 (/.f64 (+.f64 e 1) (sin.f64 v))))
(pow.f64 (/.f64 (+.f64 e 1) (*.f64 e (sin.f64 v))) -1)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 e (/.f64 1 (/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
(*.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))
(*.f64 e (log.f64 (exp.f64 (/.f64 (sin.f64 v) (+.f64 1 e)))))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) 1) e))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 e (+.f64 e 1)) (sin.f64 v))) 3)
(/.f64 (sqrt.f64 e) (/.f64 (/.f64 (+.f64 1 e) (sin.f64 v)) (sqrt.f64 e)))
(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))
(*.f64 e (/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))
(+.f64 e (*.f64 (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) -1) e))
(*.f64 e (+.f64 (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) -1) 1))
(*.f64 e (-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1))
(*.f64 (*.f64 (sin.f64 v) (sqrt.f64 (/.f64 e (+.f64 e 1)))) (sqrt.f64 (/.f64 e (+.f64 e 1))))
(+.f64 (*.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) e) (*.f64 -1 e))
(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) e) -1)
(/.f64 (cbrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3)) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 3) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e)) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (*.f64 e (sin.f64 v)) (-.f64 1 (pow.f64 (*.f64 e (cos.f64 v)) 2))) (-.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 e (expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
(*.f64 e (log.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
(*.f64 e (pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2))
(/.f64 (*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) e) (+.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 2))
Outputs
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
Calls

3 calls:

29.0ms
v
28.0ms
e
24.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
Results
ErrorSegmentsBranch
0.2b1e
0.2b1v
0.2b1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
Compiler

Compiled 645 to 330 computations (48.8% saved)

regimes37.0ms (0.5%)

Counts
30 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(/.f64 v (/.f64 1 e))
(*.f64 e (-.f64 1 1))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e (/.f64 1 (/.f64 1 v)))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (/.f64 (+.f64 1 e) e))
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(/.f64 1 (/.f64 (/.f64 (+.f64 1 e) v) e))
(*.f64 e (/.f64 1 (/.f64 (+.f64 e 1) v)))
(*.f64 (neg.f64 v) (/.f64 1 (/.f64 (+.f64 (neg.f64 e) -1) e)))
(*.f64 e (/.f64 1 (+.f64 (*.f64 1/6 (*.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))))
(*.f64 e (/.f64 1 (+.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) e)
(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(*.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(/.f64 1 (/.f64 (/.f64 (+.f64 1 e) (sin.f64 v)) e))
(*.f64 e (/.f64 1 (/.f64 (+.f64 e 1) (sin.f64 v))))
(pow.f64 (/.f64 (+.f64 e 1) (*.f64 e (sin.f64 v))) -1)
Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
Calls

2 calls:

15.0ms
v
15.0ms
e
Results
ErrorSegmentsBranch
0.8b1e
0.8b1v
Compiler

Compiled 242 to 134 computations (44.6% saved)

regimes33.0ms (0.5%)

Counts
26 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(/.f64 v (/.f64 1 e))
(*.f64 e (-.f64 1 1))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e (/.f64 1 (/.f64 1 v)))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (/.f64 (+.f64 1 e) e))
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(/.f64 1 (/.f64 (/.f64 (+.f64 1 e) v) e))
(*.f64 e (/.f64 1 (/.f64 (+.f64 e 1) v)))
(*.f64 (neg.f64 v) (/.f64 1 (/.f64 (+.f64 (neg.f64 e) -1) e)))
(*.f64 e (/.f64 1 (+.f64 (*.f64 1/6 (*.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))))
(*.f64 e (/.f64 1 (+.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) e)
(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(/.f64 e (/.f64 (+.f64 e 1) (sin.f64 v)))
(*.f64 e (-.f64 (+.f64 (sin.f64 v) 1) 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
Outputs
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
Calls

2 calls:

14.0ms
v
13.0ms
e
Results
ErrorSegmentsBranch
0.8b1e
0.8b1v
Compiler

Compiled 204 to 113 computations (44.6% saved)

regimes34.0ms (0.5%)

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

2 calls:

15.0ms
e
13.0ms
v
Results
ErrorSegmentsBranch
0.9b1e
0.9b1v
Compiler

Compiled 196 to 109 computations (44.4% saved)

regimes29.0ms (0.4%)

Counts
22 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(/.f64 v (/.f64 1 e))
(*.f64 e (-.f64 1 1))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e (/.f64 1 (/.f64 1 v)))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (/.f64 (+.f64 1 e) e))
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(/.f64 1 (/.f64 (/.f64 (+.f64 1 e) v) e))
(*.f64 e (/.f64 1 (/.f64 (+.f64 e 1) v)))
(*.f64 (neg.f64 v) (/.f64 1 (/.f64 (+.f64 (neg.f64 e) -1) e)))
(*.f64 e (/.f64 1 (+.f64 (*.f64 1/6 (*.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))))
(*.f64 e (/.f64 1 (+.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) e)
(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)
Outputs
(*.f64 (sin.f64 v) e)
Calls

2 calls:

13.0ms
v
12.0ms
e
Results
ErrorSegmentsBranch
1.7b1e
1.7b1v
Compiler

Compiled 172 to 96 computations (44.2% saved)

regimes25.0ms (0.4%)

Counts
19 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(/.f64 v (/.f64 1 e))
(*.f64 e (-.f64 1 1))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e (/.f64 1 (/.f64 1 v)))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (/.f64 (+.f64 1 e) e))
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(/.f64 1 (/.f64 (/.f64 (+.f64 1 e) v) e))
(*.f64 e (/.f64 1 (/.f64 (+.f64 e 1) v)))
(*.f64 (neg.f64 v) (/.f64 1 (/.f64 (+.f64 (neg.f64 e) -1) e)))
(*.f64 e (/.f64 1 (+.f64 (*.f64 1/6 (*.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))))
(*.f64 e (/.f64 1 (+.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 1 (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v)))))
Calls

2 calls:

11.0ms
v
10.0ms
e
Results
ErrorSegmentsBranch
30.8b1e
30.8b1v
Compiler

Compiled 156 to 91 computations (41.7% saved)

regimes29.0ms (0.4%)

Counts
17 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(/.f64 v (/.f64 1 e))
(*.f64 e (-.f64 1 1))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e (/.f64 1 (/.f64 1 v)))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (/.f64 (+.f64 1 e) e))
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(/.f64 1 (/.f64 (/.f64 (+.f64 1 e) v) e))
(*.f64 e (/.f64 1 (/.f64 (+.f64 e 1) v)))
(*.f64 (neg.f64 v) (/.f64 1 (/.f64 (+.f64 (neg.f64 e) -1) e)))
(*.f64 e (/.f64 1 (+.f64 (*.f64 1/6 (*.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))))
Outputs
(*.f64 e (/.f64 1 (+.f64 (*.f64 1/6 (*.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))))
Calls

2 calls:

10.0ms
e
10.0ms
v
Results
ErrorSegmentsBranch
30.8b1e
30.8b1v
Compiler

Compiled 131 to 75 computations (42.7% saved)

regimes22.0ms (0.3%)

Counts
16 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(/.f64 v (/.f64 1 e))
(*.f64 e (-.f64 1 1))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e (/.f64 1 (/.f64 1 v)))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (/.f64 (+.f64 1 e) e))
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(/.f64 1 (/.f64 (/.f64 (+.f64 1 e) v) e))
(*.f64 e (/.f64 1 (/.f64 (+.f64 e 1) v)))
(*.f64 (neg.f64 v) (/.f64 1 (/.f64 (+.f64 (neg.f64 e) -1) e)))
Outputs
(*.f64 (/.f64 e (+.f64 e 1)) v)
Calls

2 calls:

9.0ms
v
8.0ms
e
Results
ErrorSegmentsBranch
31.5b1e
31.5b1v
Compiler

Compiled 112 to 62 computations (44.6% saved)

regimes18.0ms (0.3%)

Counts
12 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(/.f64 v (/.f64 1 e))
(*.f64 e (-.f64 1 1))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e (/.f64 1 (/.f64 1 v)))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (/.f64 (+.f64 1 e) e))
(*.f64 e (-.f64 v (*.f64 v e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 e (/.f64 v (+.f64 e 1)))
Outputs
(/.f64 (*.f64 v e) (+.f64 1 e))
Calls

2 calls:

8.0ms
e
7.0ms
v
Results
ErrorSegmentsBranch
31.5b1e
31.5b1v
Compiler

Compiled 76 to 38 computations (50% saved)

regimes15.0ms (0.2%)

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

2 calls:

7.0ms
e
6.0ms
v
Results
ErrorSegmentsBranch
31.5b1e
31.5b1v
Compiler

Compiled 62 to 31 computations (50% saved)

regimes12.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(/.f64 v (/.f64 1 e))
(*.f64 e (-.f64 1 1))
(-.f64 v (/.f64 v e))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e (/.f64 1 (/.f64 1 v)))
Outputs
(*.f64 e (-.f64 v (*.f64 v e)))
Calls

2 calls:

5.0ms
v
5.0ms
e
Results
ErrorSegmentsBranch
31.7b1e
31.7b1v
Compiler

Compiled 41 to 23 computations (43.9% saved)

regimes11.0ms (0.2%)

Accuracy

Total -30.6b remaining (-94.8%)

Threshold costs -30.6b (-94.8%)

Counts
5 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(/.f64 v (/.f64 1 e))
(*.f64 e (-.f64 1 1))
(-.f64 v (/.f64 v e))
Outputs
(*.f64 v e)
Calls

2 calls:

5.0ms
e
4.0ms
v
Results
ErrorSegmentsBranch
32.3b1e
32.3b1v
Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify12.0ms (0.2%)

Algorithm
egg-herbie
Rules
19×*-commutative_binary64
12×+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045166
177166
296166
3109166
4117166
5119166
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 (sin.f64 v) e)
(*.f64 e (/.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v)))))
(*.f64 e (/.f64 1 (+.f64 (*.f64 1/6 (*.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 e (/.f64 (+.f64 e 1) v))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 v e)
v
Outputs
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 e 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(/.f64 (sin.f64 v) (/.f64 (+.f64 e 1) e))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 e (/.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v)))))
(*.f64 e (/.f64 1 (+.f64 (*.f64 v (+.f64 (*.f64 e -1/2) (*.f64 1/6 (+.f64 e 1)))) (+.f64 (/.f64 e v) (/.f64 1 v)))))
(*.f64 e (/.f64 1 (+.f64 (*.f64 v (+.f64 (*.f64 e -1/2) (*.f64 (+.f64 e 1) 1/6))) (+.f64 (/.f64 e v) (/.f64 1 v)))))
(*.f64 e (/.f64 1 (+.f64 (*.f64 v (+.f64 (*.f64 e -1/2) (*.f64 -1/6 (-.f64 -1 e)))) (+.f64 (/.f64 e v) (/.f64 1 v)))))
(*.f64 e (/.f64 1 (+.f64 (*.f64 1/6 (*.f64 v (+.f64 1 e))) (+.f64 (/.f64 e v) (/.f64 1 v)))))
(*.f64 e (/.f64 1 (+.f64 (+.f64 (/.f64 e v) (/.f64 1 v)) (*.f64 1/6 (*.f64 v (+.f64 e 1))))))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 e v) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) v))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 e (-.f64 v (*.f64 e v)))
(*.f64 v e)
(*.f64 e v)
v
Compiler

Compiled 139 to 95 computations (31.7% saved)

soundness9.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01017
11715
22315
32615
42715
Stop Event
saturated
Compiler

Compiled 51 to 35 computations (31.4% saved)

end77.0ms (1.1%)

Compiler

Compiled 115 to 63 computations (45.2% saved)

Profiling

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