Details

Time bar (total: 7.8s)

analyze12.0ms (0.2%)

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)

sample2.7s (34.9%)

Results
1.2s1997×body1024valid
1.1s5201×body256valid
420.0ms1055×body512valid
3.0msbody2048valid

preprocess18.0ms (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)

simplify7.0ms (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)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Compiled 25 to 17 computations (32% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 32 to 14 computations (56.3% saved)

series15.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

rewrite67.0ms (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))))))))

simplify58.0ms (0.7%)

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)))))

localize13.0ms (0.2%)

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)

series14.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
v
@0
(*.f64 e (sin.f64 v))
2.0ms
e
@-inf
(*.f64 e (cos.f64 v))
1.0ms
e
@0
(*.f64 e (cos.f64 v))
1.0ms
e
@0
(*.f64 e (sin.f64 v))
1.0ms
v
@0
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))

rewrite74.0ms (1%)

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))))))

simplify72.0ms (0.9%)

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))

eval95.0ms (1.2%)

Compiler

Compiled 5596 to 3131 computations (44% saved)

prune52.0ms (0.7%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New22916245
Fresh000
Picked101
Done101
Total23116247
Error
0.0b
Counts
247 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
15.1b
(*.f64 e (-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1))
0.2b
(*.f64 e (expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
1.1b
(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))
0.3b
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
25.5b
(/.f64 (pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2) (+.f64 1 (*.f64 e (cos.f64 v))))
9.6b
(*.f64 e (cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3)))
1.2b
(/.f64 (pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 3) (+.f64 1 (*.f64 e (cos.f64 v))))
15.1b
(*.f64 e (log.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
0.1b
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
0.8b
(*.f64 (sin.f64 v) e)
32.9b
(*.f64 e (/.f64 v (+.f64 e 1)))
0.5b
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
36.1b
(/.f64 (cbrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3)) (+.f64 1 (*.f64 e (cos.f64 v))))
32.9b
(*.f64 (/.f64 e (+.f64 e 1)) v)
31.9b
(*.f64 e (pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2))
Compiler

Compiled 416 to 296 computations (28.8% saved)

localize15.0ms (0.2%)

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

Compiled 39 to 15 computations (61.5% saved)

series9.0ms (0.1%)

Counts
3 → 44
Calls

18 calls:

TimeVariablePointExpression
3.0ms
e
@-inf
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
1.0ms
v
@0
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
1.0ms
v
@0
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
0.0ms
v
@-inf
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
0.0ms
v
@inf
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))

rewrite68.0ms (0.9%)

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 (cos.f64 v) e)
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 v) e))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 v)) e)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 v)) e))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 v)) e))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 v)) e))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (cos.f64 v) e 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 v) e) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 v) e) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 v) e)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 v) e)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 v) e) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 v) e) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 v) e) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 (cos.f64 v) e)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 v) e)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 v) e))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 v) e))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (cos.f64 v) e))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 v) e)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 v) e)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (cos.f64 v) e 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (cos.f64 v) e 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (cos.f64 v) e 1)) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 v) e 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 v) e 1) 2)) (cbrt.f64 (fma.f64 (cos.f64 v) e 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (cos.f64 v) e 1)) (sqrt.f64 (fma.f64 (cos.f64 v) e 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 v) e) 3)) (/.f64 1 (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 (cos.f64 v) e) 2)) (/.f64 1 (-.f64 1 (*.f64 (cos.f64 v) e))) -1)))))
((#(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 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (cos.f64 v) e 1) (*.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 e (sin.f64 v))) (neg.f64 (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 e (sin.f64 v)) 1) (fma.f64 (cos.f64 v) e 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 e (sin.f64 v)) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 v) e 1) 2))) (cbrt.f64 (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 e (sin.f64 v)) (sqrt.f64 (fma.f64 (cos.f64 v) e 1))) (sqrt.f64 (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 v)) e) (neg.f64 (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (neg.f64 (sin.f64 v))) (neg.f64 (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) 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 (fma.f64 (cos.f64 v) e 1) (*.f64 e (sin.f64 v))) -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 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 exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 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 (cos.f64 v) e 1) (sin.f64 v))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))) 1) 1))))))
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(pow.f64 (fma.f64 (cos.f64 v) e 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 1) 1))))))

simplify82.0ms (1.1%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
01651852
15161786
218191742
371811726
Stop Event
node limit
Counts
151 → 162
Calls
Call 1
Inputs
e
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) e)) e)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 v 4) e)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) e)) e))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 v 6) e)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 v 4) e)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) e)) e)))
(*.f64 (sin.f64 v) e)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (*.f64 v e) (+.f64 1 e)))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (+.f64 (*.f64 (pow.f64 v 7) (-.f64 (*.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (*.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 v (+.f64 1 e))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e)))
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e))))
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 7) (+.f64 (*.f64 -1/720 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2))))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/5040 (/.f64 1 (+.f64 1 e)))))))) (/.f64 v (+.f64 1 e)))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
Outputs
e
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) e)) e)
(fma.f64 -1/2 (*.f64 e (*.f64 v v)) e)
(*.f64 e (fma.f64 -1/2 (*.f64 v v) 1))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 v 4) e)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) e)) e))
(fma.f64 1/24 (*.f64 e (pow.f64 v 4)) (fma.f64 -1/2 (*.f64 e (*.f64 v v)) e))
(fma.f64 e (fma.f64 1/24 (pow.f64 v 4) (*.f64 -1/2 (*.f64 v v))) e)
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 v 6) e)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 v 4) e)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) e)) e)))
(fma.f64 -1/720 (*.f64 e (pow.f64 v 6)) (fma.f64 1/24 (*.f64 e (pow.f64 v 4)) (fma.f64 -1/2 (*.f64 e (*.f64 v v)) e)))
(fma.f64 e (*.f64 -1/720 (pow.f64 v 6)) (fma.f64 e (fma.f64 1/24 (pow.f64 v 4) (*.f64 -1/2 (*.f64 v v))) e))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e))
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (*.f64 e (sin.f64 v)))
(-.f64 (*.f64 e (sin.f64 v)) (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(fma.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (*.f64 (sin.f64 v) (neg.f64 (*.f64 (cos.f64 v) (*.f64 e e)))))
(*.f64 (sin.f64 v) (-.f64 (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e) (*.f64 (cos.f64 v) (*.f64 e e))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))) (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(+.f64 (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (*.f64 (neg.f64 (sin.f64 v)) (+.f64 (*.f64 (cos.f64 v) (*.f64 e e)) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))))
(-.f64 (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e)) (*.f64 (sin.f64 v) (fma.f64 e (*.f64 e (cos.f64 v)) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))))
(-.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 3))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 3)) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))))
(-.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 3))) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 3)) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 3)))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 (/.f64 v (+.f64 e 1)) e)
(*.f64 (/.f64 e (+.f64 e 1)) v)
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (*.f64 v e) (+.f64 1 e)))
(fma.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/6 (/.f64 e (+.f64 e 1))) (*.f64 1/2 (/.f64 (*.f64 e e) (pow.f64 (+.f64 e 1) 2)))) (/.f64 v (/.f64 (+.f64 e 1) e)))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (/.f64 (*.f64 1/2 (*.f64 e e)) (pow.f64 (+.f64 e 1) 2))) (*.f64 (/.f64 v (+.f64 e 1)) e))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (/.f64 e (+.f64 e 1)) (*.f64 (/.f64 e (/.f64 (pow.f64 (+.f64 e 1) 2) e)) 1/2)) (*.f64 (/.f64 e (+.f64 e 1)) v))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))
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(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 1/24 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (/.f64 (+.f64 e 1) e) 1/2)))) (-.f64 (/.f64 v (+.f64 e 1)) (fma.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (*.f64 (pow.f64 v 7) (fma.f64 -1/2 (*.f64 (/.f64 e (+.f64 e 1)) (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 1/24 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (/.f64 (+.f64 e 1) e) 1/2))))) (fma.f64 -1/720 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (fma.f64 (*.f64 (/.f64 e (+.f64 e 1)) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1)))) -1/24 (/.f64 1/5040 (+.f64 e 1)))))))))
(-.f64 (fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 1/24 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (/.f64 (+.f64 e 1) e) 1/2)))) (/.f64 v (+.f64 e 1))) (fma.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (*.f64 (pow.f64 v 7) (fma.f64 -1/2 (*.f64 (/.f64 e (+.f64 e 1)) (-.f64 (/.f64 1/120 (+.f64 e 1)) (fma.f64 1/24 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1))) (/.f64 (/.f64 (+.f64 e 1) e) 1/2))))) (fma.f64 -1/720 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (fma.f64 (*.f64 (/.f64 e (+.f64 e 1)) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 e 1) 2)) (/.f64 1/6 (+.f64 e 1)))) -1/24 (/.f64 1/5040 (+.f64 e 1))))))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))
(+.f64 (sin.f64 v) (neg.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(-.f64 (sin.f64 v) (*.f64 e (*.f64 (sin.f64 v) (cos.f64 v))))
(-.f64 (sin.f64 v) (*.f64 (*.f64 e (sin.f64 v)) (cos.f64 v)))
(+.f64 (sin.f64 v) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))))
(+.f64 (sin.f64 v) (fma.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)) (neg.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v))))))
(-.f64 (*.f64 (+.f64 (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))) 1) (sin.f64 v)) (*.f64 e (*.f64 (sin.f64 v) (cos.f64 v))))
(*.f64 (sin.f64 v) (-.f64 (fma.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2) 1) (*.f64 e (cos.f64 v))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))))
(+.f64 (sin.f64 v) (fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3))) (fma.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)) (neg.f64 (*.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 v)) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3)) (*.f64 (*.f64 e e) (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))) (-.f64 (sin.f64 v) (*.f64 e (*.f64 (sin.f64 v) (cos.f64 v)))))
(-.f64 (*.f64 (sin.f64 v) (-.f64 (fma.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2) 1) (*.f64 e (cos.f64 v)))) (*.f64 (pow.f64 e 3) (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))
(/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e)
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (neg.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))))
(-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) e))
(-.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) e)))
(+.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3))))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4)))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) e)))
(+.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 4))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))
(/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e)
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (neg.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e))))
(-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) e))
(-.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) e)))
(+.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (*.f64 e e)) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3))))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 4) (pow.f64 (cos.f64 v) 4)))) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) e)))
(+.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4)) (pow.f64 e 4))))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 12 computations (40% saved)

series10.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
e
@-inf
(*.f64 e (/.f64 v (+.f64 e 1)))
1.0ms
v
@0
(*.f64 e (/.f64 v (+.f64 e 1)))
1.0ms
v
@-inf
(*.f64 e (/.f64 v (+.f64 e 1)))
1.0ms
v
@inf
(*.f64 e (/.f64 v (+.f64 e 1)))
1.0ms
e
@0
(*.f64 e (/.f64 v (+.f64 e 1)))

rewrite57.0ms (0.7%)

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)))))))

simplify90.0ms (1.1%)

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 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))
0.1b
(*.f64 (cos.f64 v) (*.f64 e e))
0.1b
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
Compiler

Compiled 36 to 8 computations (77.8% saved)

series25.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
12.0ms
e
@inf
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
2.0ms
v
@0
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
1.0ms
v
@inf
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
1.0ms
v
@-inf
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
1.0ms
e
@-inf
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))

rewrite143.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
831×prod-diff_binary64
518×log-prod_binary64
355×pow-prod-down_binary64
297×fma-def_binary64
260×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0938
119338
2267738
Stop Event
node limit
Counts
3 → 214
Calls
Call 1
Inputs
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
(*.f64 (cos.f64 v) (*.f64 e e))
(-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 v) (*.f64 e e)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 v)) (*.f64 e e))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 v)) (*.f64 e e)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 v)) (*.f64 e e)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 v)) (*.f64 e e)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 v) (*.f64 e e)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 v) (*.f64 e e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 v) (*.f64 e e))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 v)) (*.f64 e e)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 v) (*.f64 e e)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 v) (*.f64 e e))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 e (*.f64 (cos.f64 v) (neg.f64 (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 e (*.f64 (*.f64 (cos.f64 v) (neg.f64 (*.f64 e e))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) (fma.f64 (neg.f64 (cos.f64 v)) (*.f64 e e) (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) (fma.f64 (*.f64 (cos.f64 v) (neg.f64 (*.f64 e e))) 1 (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (cos.f64 v) (*.f64 e e)))) (cbrt.f64 (pow.f64 (*.f64 e (sqrt.f64 (cos.f64 v))) 4)) (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) (fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(*.f64 e e))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 e e)) (cos.f64 v) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 e (sqrt.f64 (cos.f64 v)))) (*.f64 e (sqrt.f64 (cos.f64 v))) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 (cos.f64 v) (*.f64 e e)) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 e) (*.f64 e (sqrt.f64 (cos.f64 v)))) (-.f64 (sqrt.f64 e) (*.f64 e (sqrt.f64 (cos.f64 v)))) (fma.f64 (neg.f64 (cos.f64 v)) (*.f64 e e) (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 e) (*.f64 e (sqrt.f64 (cos.f64 v)))) (-.f64 (sqrt.f64 e) (*.f64 e (sqrt.f64 (cos.f64 v)))) (fma.f64 (*.f64 (cos.f64 v) (neg.f64 (*.f64 e e))) 1 (*.f64 (cos.f64 v) (*.f64 e e))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 e) (*.f64 e (sqrt.f64 (cos.f64 v)))) (-.f64 (sqrt.f64 e) (*.f64 e (sqrt.f64 (cos.f64 v)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 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simplify82.0ms (1.1%)

Algorithm
egg-herbie
Rules
680×fma-def_binary64
455×+-commutative_binary64
452×distribute-rgt-out_binary64
431×distribute-lft-out_binary64
424×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0861146
12541112
28981079
343131050
Stop Event
node limit
Counts
286 → 252
Calls
Call 1
Inputs
(*.f64 v (-.f64 e (pow.f64 e 2)))
(+.f64 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/6 (-.f64 e (pow.f64 e 2))) (*.f64 1/2 (pow.f64 e 2)))) (*.f64 v (-.f64 e (pow.f64 e 2))))
(+.f64 (*.f64 (pow.f64 v 5) (+.f64 (*.f64 -1/24 (pow.f64 e 2)) (+.f64 (*.f64 -1/12 (pow.f64 e 2)) (*.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/6 (-.f64 e (pow.f64 e 2))) (*.f64 1/2 (pow.f64 e 2)))) (*.f64 v (-.f64 e (pow.f64 e 2)))))
(+.f64 (*.f64 (pow.f64 v 7) (+.f64 (*.f64 1/240 (pow.f64 e 2)) (+.f64 (*.f64 1/720 (pow.f64 e 2)) (+.f64 (*.f64 1/144 (pow.f64 e 2)) (*.f64 -1/5040 (-.f64 e (pow.f64 e 2))))))) (+.f64 (*.f64 (pow.f64 v 5) (+.f64 (*.f64 -1/24 (pow.f64 e 2)) (+.f64 (*.f64 -1/12 (pow.f64 e 2)) (*.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/6 (-.f64 e (pow.f64 e 2))) (*.f64 1/2 (pow.f64 e 2)))) (*.f64 v (-.f64 e (pow.f64 e 2))))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2))))
(*.f64 (sin.f64 v) e)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e))
(*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e))
(*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e))
(pow.f64 e 2)
(+.f64 (pow.f64 e 2) (*.f64 -1/2 (*.f64 (pow.f64 v 2) (pow.f64 e 2))))
(+.f64 (pow.f64 e 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) (pow.f64 e 2))) (*.f64 1/24 (*.f64 (pow.f64 v 4) (pow.f64 e 2)))))
(+.f64 (pow.f64 e 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 v 2) (pow.f64 e 2))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 v 6) (pow.f64 e 2))) (*.f64 1/24 (*.f64 (pow.f64 v 4) (pow.f64 e 2))))))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
e
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e)
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e)
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e)
(*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2)))
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e)
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e)
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e)
(*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2)))
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e)
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e)
(+.f64 (*.f64 -1 (*.f64 (cos.f64 v) (pow.f64 e 2))) e)
(-.f64 e (pow.f64 e 2))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 v 2) (pow.f64 e 2))) e) (pow.f64 e 2))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 v 2) (pow.f64 e 2))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 v 4) (pow.f64 e 2))) e)) (pow.f64 e 2))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 v 2) (pow.f64 e 2))) (+.f64 (*.f64 1/720 (*.f64 (pow.f64 v 6) (pow.f64 e 2))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 v 4) (pow.f64 e 2))) e))) (pow.f64 e 2))
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
Outputs
(*.f64 v (-.f64 e (pow.f64 e 2)))
(*.f64 v (-.f64 e (*.f64 e e)))
(+.f64 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/6 (-.f64 e (pow.f64 e 2))) (*.f64 1/2 (pow.f64 e 2)))) (*.f64 v (-.f64 e (pow.f64 e 2))))
(fma.f64 (pow.f64 v 3) (fma.f64 -1/6 (-.f64 e (*.f64 e e)) (*.f64 (*.f64 e e) 1/2)) (*.f64 v (-.f64 e (*.f64 e e))))
(fma.f64 v (-.f64 e (*.f64 e e)) (*.f64 (pow.f64 v 3) (fma.f64 (-.f64 e (*.f64 e e)) -1/6 (*.f64 e (*.f64 e 1/2)))))
(fma.f64 (pow.f64 v 3) (+.f64 (*.f64 e -1/6) (*.f64 (*.f64 e e) 2/3)) (*.f64 v (-.f64 e (*.f64 e e))))
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(-.f64 e (pow.f64 e 2))
(-.f64 e (*.f64 e e))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 v 2) (pow.f64 e 2))) e) (pow.f64 e 2))
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 e e) (*.f64 v v)) e) (*.f64 e e))
(-.f64 (fma.f64 1/2 (*.f64 v (*.f64 v (*.f64 e e))) e) (*.f64 e e))
(+.f64 e (*.f64 e (-.f64 (*.f64 e (*.f64 1/2 (*.f64 v v))) e)))
(-.f64 e (*.f64 (*.f64 e e) (fma.f64 -1/2 (*.f64 v v) 1)))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 v 2) (pow.f64 e 2))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 v 4) (pow.f64 e 2))) e)) (pow.f64 e 2))
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 e e) (*.f64 v v)) (fma.f64 -1/24 (*.f64 (*.f64 e e) (pow.f64 v 4)) e)) (*.f64 e e))
(+.f64 (*.f64 (*.f64 e e) (+.f64 (*.f64 1/2 (*.f64 v v)) (*.f64 -1/24 (pow.f64 v 4)))) (-.f64 e (*.f64 e e)))
(-.f64 (fma.f64 (*.f64 e e) (fma.f64 1/2 (*.f64 v v) (*.f64 -1/24 (pow.f64 v 4))) e) (*.f64 e e))
(+.f64 e (*.f64 (*.f64 e e) (+.f64 -1 (fma.f64 1/2 (*.f64 v v) (*.f64 -1/24 (pow.f64 v 4))))))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 v 2) (pow.f64 e 2))) (+.f64 (*.f64 1/720 (*.f64 (pow.f64 v 6) (pow.f64 e 2))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 v 4) (pow.f64 e 2))) e))) (pow.f64 e 2))
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 e e) (*.f64 v v)) (fma.f64 1/720 (*.f64 (*.f64 e e) (pow.f64 v 6)) (fma.f64 -1/24 (*.f64 (*.f64 e e) (pow.f64 v 4)) e))) (*.f64 e e))
(+.f64 (*.f64 (*.f64 e e) (+.f64 (*.f64 1/2 (*.f64 v v)) (*.f64 1/720 (pow.f64 v 6)))) (-.f64 (fma.f64 -1/24 (*.f64 e (*.f64 e (pow.f64 v 4))) e) (*.f64 e e)))
(+.f64 (*.f64 (*.f64 e e) (+.f64 (*.f64 1/2 (*.f64 v v)) (fma.f64 1/720 (pow.f64 v 6) (*.f64 -1/24 (pow.f64 v 4))))) (-.f64 e (*.f64 e e)))
(+.f64 e (*.f64 (*.f64 e e) (+.f64 (fma.f64 1/720 (pow.f64 v 6) (*.f64 -1/24 (pow.f64 v 4))) (+.f64 -1 (*.f64 1/2 (*.f64 v v))))))
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)
(-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))
(-.f64 e (*.f64 (*.f64 e e) (cos.f64 v)))
(-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))
(fma.f64 (*.f64 e e) (neg.f64 (cos.f64 v)) e)

localize37.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 e (sin.f64 v))
0.1b
(pow.f64 (*.f64 e (sin.f64 v)) 3)
0.1b
(*.f64 e (cos.f64 v))
36.1b
(cbrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3))
Compiler

Compiled 51 to 21 computations (58.8% saved)

series14.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
e
@-inf
(cbrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3))
2.0ms
v
@0
(pow.f64 (*.f64 e (sin.f64 v)) 3)
1.0ms
v
@-inf
(pow.f64 (*.f64 e (sin.f64 v)) 3)
1.0ms
v
@inf
(pow.f64 (*.f64 e (sin.f64 v)) 3)
1.0ms
e
@0
(pow.f64 (*.f64 e (sin.f64 v)) 3)

rewrite70.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
645×pow1_binary64
603×add-log-exp_binary64
603×log1p-expm1-u_binary64
603×expm1-log1p-u_binary64
586×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
116815
2172815
Stop Event
node limit
Counts
2 → 54
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3))
(pow.f64 (*.f64 e (sin.f64 v)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 e (sin.f64 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) e)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 e (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) (pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) (pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 2) (cbrt.f64 (*.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 e) 2) (*.f64 (cbrt.f64 e) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) (sqrt.f64 (*.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 v)) (*.f64 (sqrt.f64 (sin.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) 2) 1/3) (cbrt.f64 (*.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 e (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 2)) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) (pow.f64 (cbrt.f64 e) 2)) (cbrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 e (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 e) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 e (sin.f64 v))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 e (sin.f64 v)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (*.f64 (sin.f64 v) (pow.f64 (*.f64 e (sin.f64 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) (*.f64 e (pow.f64 (*.f64 e (sin.f64 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (sin.f64 v)) (pow.f64 (*.f64 e (sin.f64 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 e (sin.f64 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 e (sin.f64 v)) 2) (*.f64 e (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 2) (*.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) (pow.f64 (*.f64 e (sin.f64 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) (*.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) (pow.f64 (*.f64 e (sin.f64 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 e 3) (pow.f64 (sin.f64 v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3/2) (pow.f64 (*.f64 e (sin.f64 v)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 2) 3) (*.f64 e (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 3) (pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) 2) e) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) 2) (sin.f64 v)) e)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) 2) 1) (*.f64 e (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) 2) (pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 2)) (cbrt.f64 (*.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 e (sin.f64 v)) 2) (sqrt.f64 (*.f64 e (sin.f64 v)))) (sqrt.f64 (*.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 e (sin.f64 v)))))))))

simplify163.0ms (2.1%)

Algorithm
egg-herbie
Rules
1159×distribute-rgt-in_binary64
671×distribute-rgt-out_binary64
650×fma-def_binary64
459×associate-*l*_binary64
418×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
074632
1232619
2852572
34331568
46643565
56769565
66906565
77060565
87248565
97438565
Stop Event
node limit
Counts
102 → 71
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)
(*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) e)))
(*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) e)))
(*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) e)))
(*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) e)))
(*.f64 v e)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (*.f64 v e))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (+.f64 (*.f64 v e) (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 v 3) (pow.f64 e 3))
(+.f64 (*.f64 (pow.f64 v 3) (pow.f64 e 3)) (*.f64 (pow.f64 v 5) (+.f64 (*.f64 -1/3 (pow.f64 e 3)) (*.f64 -1/6 (pow.f64 e 3)))))
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 e 2)) (*.f64 1/60 (pow.f64 e 2))) e) (+.f64 (*.f64 1/120 (pow.f64 e 3)) (*.f64 1/18 (pow.f64 e 3)))) (pow.f64 v 7)) (+.f64 (*.f64 (pow.f64 v 3) (pow.f64 e 3)) (*.f64 (pow.f64 v 5) (+.f64 (*.f64 -1/3 (pow.f64 e 3)) (*.f64 -1/6 (pow.f64 e 3))))))
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 e 2)) (*.f64 1/60 (pow.f64 e 2))) e) (+.f64 (*.f64 1/120 (pow.f64 e 3)) (*.f64 1/18 (pow.f64 e 3)))) (pow.f64 v 7)) (+.f64 (*.f64 (pow.f64 v 9) (+.f64 (*.f64 e (+.f64 (*.f64 -1/2520 (pow.f64 e 2)) (*.f64 -1/360 (pow.f64 e 2)))) (+.f64 (*.f64 -1/5040 (pow.f64 e 3)) (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 e 2)) (*.f64 1/60 (pow.f64 e 2))) e)) (*.f64 -1/360 (pow.f64 e 3)))))) (+.f64 (*.f64 (pow.f64 v 3) (pow.f64 e 3)) (*.f64 (pow.f64 v 5) (+.f64 (*.f64 -1/3 (pow.f64 e 3)) (*.f64 -1/6 (pow.f64 e 3)))))))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
Outputs
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) e)))
(neg.f64 (*.f64 (sin.f64 v) (*.f64 e (cbrt.f64 -1))))
(*.f64 (*.f64 e (cbrt.f64 -1)) (neg.f64 (sin.f64 v)))
(*.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) (neg.f64 e)))
(*.f64 (sin.f64 v) (*.f64 e (neg.f64 (cbrt.f64 -1))))
(*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) e)))
(neg.f64 (*.f64 (sin.f64 v) (*.f64 e (cbrt.f64 -1))))
(*.f64 (*.f64 e (cbrt.f64 -1)) (neg.f64 (sin.f64 v)))
(*.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) (neg.f64 e)))
(*.f64 (sin.f64 v) (*.f64 e (neg.f64 (cbrt.f64 -1))))
(*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) e)))
(neg.f64 (*.f64 (sin.f64 v) (*.f64 e (cbrt.f64 -1))))
(*.f64 (*.f64 e (cbrt.f64 -1)) (neg.f64 (sin.f64 v)))
(*.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) (neg.f64 e)))
(*.f64 (sin.f64 v) (*.f64 e (neg.f64 (cbrt.f64 -1))))
(*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) e)))
(neg.f64 (*.f64 (sin.f64 v) (*.f64 e (cbrt.f64 -1))))
(*.f64 (*.f64 e (cbrt.f64 -1)) (neg.f64 (sin.f64 v)))
(*.f64 (sin.f64 v) (*.f64 (cbrt.f64 -1) (neg.f64 e)))
(*.f64 (sin.f64 v) (*.f64 e (neg.f64 (cbrt.f64 -1))))
(*.f64 v e)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (*.f64 v e))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (*.f64 v e))
(*.f64 e (+.f64 (*.f64 -1/6 (pow.f64 v 3)) v))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (*.f64 v e)))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (*.f64 e (+.f64 v (*.f64 1/120 (pow.f64 v 5)))))
(*.f64 e (+.f64 (fma.f64 1/120 (pow.f64 v 5) v) (*.f64 -1/6 (pow.f64 v 3))))
(*.f64 e (+.f64 (*.f64 1/120 (pow.f64 v 5)) (fma.f64 -1/6 (pow.f64 v 3) v)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (+.f64 (*.f64 v e) (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (fma.f64 v e (*.f64 -1/5040 (*.f64 e (pow.f64 v 7))))))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (*.f64 e (+.f64 v (*.f64 -1/5040 (pow.f64 v 7))))))
(*.f64 e (+.f64 (fma.f64 -1/5040 (pow.f64 v 7) v) (fma.f64 -1/6 (pow.f64 v 3) (*.f64 1/120 (pow.f64 v 5)))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 v 3) (pow.f64 e 3))
(pow.f64 (*.f64 v e) 3)
(+.f64 (*.f64 (pow.f64 v 3) (pow.f64 e 3)) (*.f64 (pow.f64 v 5) (+.f64 (*.f64 -1/3 (pow.f64 e 3)) (*.f64 -1/6 (pow.f64 e 3)))))
(fma.f64 (pow.f64 v 3) (pow.f64 e 3) (*.f64 (pow.f64 v 5) (*.f64 (pow.f64 e 3) -1/2)))
(fma.f64 (pow.f64 v 3) (pow.f64 e 3) (*.f64 (pow.f64 e 3) (*.f64 -1/2 (pow.f64 v 5))))
(*.f64 (pow.f64 e 3) (+.f64 (pow.f64 v 3) (*.f64 (pow.f64 v 5) -1/2)))
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 e 2)) (*.f64 1/60 (pow.f64 e 2))) e) (+.f64 (*.f64 1/120 (pow.f64 e 3)) (*.f64 1/18 (pow.f64 e 3)))) (pow.f64 v 7)) (+.f64 (*.f64 (pow.f64 v 3) (pow.f64 e 3)) (*.f64 (pow.f64 v 5) (+.f64 (*.f64 -1/3 (pow.f64 e 3)) (*.f64 -1/6 (pow.f64 e 3))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 e e) 2/45) e (*.f64 (pow.f64 e 3) 23/360)) (pow.f64 v 7) (fma.f64 (pow.f64 v 3) (pow.f64 e 3) (*.f64 (pow.f64 v 5) (*.f64 (pow.f64 e 3) -1/2))))
(fma.f64 (pow.f64 v 7) (fma.f64 (pow.f64 e 3) 23/360 (*.f64 (pow.f64 e 3) 2/45)) (fma.f64 (pow.f64 v 3) (pow.f64 e 3) (*.f64 (pow.f64 e 3) (*.f64 -1/2 (pow.f64 v 5)))))
(fma.f64 (pow.f64 v 7) (*.f64 (pow.f64 e 3) 13/120) (*.f64 (pow.f64 e 3) (+.f64 (pow.f64 v 3) (*.f64 (pow.f64 v 5) -1/2))))
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 e 2)) (*.f64 1/60 (pow.f64 e 2))) e) (+.f64 (*.f64 1/120 (pow.f64 e 3)) (*.f64 1/18 (pow.f64 e 3)))) (pow.f64 v 7)) (+.f64 (*.f64 (pow.f64 v 9) (+.f64 (*.f64 e (+.f64 (*.f64 -1/2520 (pow.f64 e 2)) (*.f64 -1/360 (pow.f64 e 2)))) (+.f64 (*.f64 -1/5040 (pow.f64 e 3)) (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 e 2)) (*.f64 1/60 (pow.f64 e 2))) e)) (*.f64 -1/360 (pow.f64 e 3)))))) (+.f64 (*.f64 (pow.f64 v 3) (pow.f64 e 3)) (*.f64 (pow.f64 v 5) (+.f64 (*.f64 -1/3 (pow.f64 e 3)) (*.f64 -1/6 (pow.f64 e 3)))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 e e) 2/45) e (*.f64 (pow.f64 e 3) 23/360)) (pow.f64 v 7) (fma.f64 (pow.f64 v 9) (fma.f64 e (*.f64 (*.f64 e e) -1/315) (fma.f64 -1/5040 (pow.f64 e 3) (fma.f64 -1/6 (*.f64 e (*.f64 (*.f64 e e) 2/45)) (*.f64 (pow.f64 e 3) -1/360)))) (fma.f64 (pow.f64 v 3) (pow.f64 e 3) (*.f64 (pow.f64 v 5) (*.f64 (pow.f64 e 3) -1/2)))))
(fma.f64 (pow.f64 v 7) (fma.f64 (pow.f64 e 3) 23/360 (*.f64 (pow.f64 e 3) 2/45)) (fma.f64 (pow.f64 v 9) (+.f64 (*.f64 (pow.f64 e 3) -1/315) (fma.f64 -1/5040 (pow.f64 e 3) (fma.f64 -1/6 (*.f64 (pow.f64 e 3) 2/45) (*.f64 (pow.f64 e 3) -1/360)))) (fma.f64 (pow.f64 v 3) (pow.f64 e 3) (*.f64 (pow.f64 e 3) (*.f64 -1/2 (pow.f64 v 5))))))
(fma.f64 (pow.f64 v 7) (*.f64 (pow.f64 e 3) 13/120) (fma.f64 (pow.f64 v 9) (+.f64 (fma.f64 -1/5040 (pow.f64 e 3) (*.f64 (pow.f64 e 3) -1/135)) (*.f64 (pow.f64 e 3) -1/168)) (*.f64 (pow.f64 e 3) (+.f64 (pow.f64 v 3) (*.f64 (pow.f64 v 5) -1/2)))))
(fma.f64 (pow.f64 v 7) (*.f64 (pow.f64 e 3) 13/120) (fma.f64 (pow.f64 v 9) (+.f64 (*.f64 e (*.f64 (*.f64 e e) -11/1080)) (*.f64 (pow.f64 e 3) -17/5040)) (*.f64 (pow.f64 e 3) (+.f64 (pow.f64 v 3) (*.f64 (pow.f64 v 5) -1/2)))))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))
(*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 e 3))

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
0.1b
(exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
0.1b
(*.f64 e (log.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
1.9b
(log.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))
Compiler

Compiled 53 to 25 computations (52.8% saved)

series10.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite74.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
964×pow1_binary64
883×log1p-expm1-u_binary64
883×expm1-log1p-u_binary64
882×add-log-exp_binary64
861×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01141
119841
2236141
Stop Event
node limit
Counts
3 → 82
Calls
Call 1
Inputs
(log.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))
(*.f64 e (log.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
(exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) (/.f64 1 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2) (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) (/.f64 1 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 v)) (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 v)) (/.f64 1 (neg.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 e (cos.f64 v) 1)) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 v)) 1) (/.f64 (sqrt.f64 (sin.f64 v)) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (/.f64 (sin.f64 v) (cbrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 v)) (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (/.f64 (sqrt.f64 (sin.f64 v)) (cbrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 e (cos.f64 v) 1))) (/.f64 (sin.f64 v) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))) (/.f64 (cbrt.f64 (sin.f64 v)) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (/.f64 (fma.f64 e (cos.f64 v) 1) (cbrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) 1) (sqrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 v)) (neg.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 v) (sqrt.f64 (fma.f64 e (cos.f64 v) 1))) (sqrt.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 v) 1) (fma.f64 e (cos.f64 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 v) (pow.f64 (cbrt.f64 (fma.f64 e (cos.f64 v) 1)) 2)) (cbrt.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 v) (neg.f64 (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (fma.f64 e (cos.f64 v) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 v)) e) (neg.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (neg.f64 (sin.f64 v))) (neg.f64 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 e 3) (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3) (pow.f64 e 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2) (cbrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) (sqrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sin.f64 v)) (/.f64 1 (fma.f64 e (cos.f64 v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2)) (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))) (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))))

simplify70.0ms (0.9%)

Algorithm
egg-herbie
Rules
901×times-frac_binary64
524×associate-/r*_binary64
460×associate-/l*_binary64
311×distribute-rgt-in_binary64
299×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02252743
17152610
227562558
Stop Event
node limit
Counts
154 → 152
Calls
Call 1
Inputs
(/.f64 v (+.f64 1 e))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e)))
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e))))
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 7) (+.f64 (*.f64 -1/720 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2))))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/5040 (/.f64 1 (+.f64 1 e)))))))) (/.f64 v (+.f64 1 e)))))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(*.f64 (sin.f64 v) e)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (*.f64 v e) (+.f64 1 e)))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (+.f64 (*.f64 (pow.f64 v 7) (-.f64 (*.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (*.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
1
(+.f64 1 (/.f64 v (+.f64 1 e)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2))) (+.f64 1 (/.f64 v (+.f64 1 e))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2))) (+.f64 1 (+.f64 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e))))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 1 e) 3))))) (/.f64 v (+.f64 1 e)))))
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(exp.f64 (sin.f64 v))
(+.f64 (exp.f64 (sin.f64 v)) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 (exp.f64 (sin.f64 v)) e)))))
(+.f64 (exp.f64 (sin.f64 v)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 (exp.f64 (sin.f64 v)) e)))) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))) (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))) (*.f64 (exp.f64 (sin.f64 v)) (pow.f64 e 2)))))
(+.f64 (exp.f64 (sin.f64 v)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 (exp.f64 (sin.f64 v)) e)))) (+.f64 (*.f64 (exp.f64 (sin.f64 v)) (*.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))) (*.f64 -1/6 (*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))))) (pow.f64 e 3))) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))) (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))) (*.f64 (exp.f64 (sin.f64 v)) (pow.f64 e 2))))))
1
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) 1)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))))))
1
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) 1)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))) (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))))) (pow.f64 e 3))) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))))))
Outputs
(/.f64 v (+.f64 1 e))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e)))
(fma.f64 -1 (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))) (/.f64 v (+.f64 1 e)))
(-.f64 (/.f64 v (+.f64 1 e)) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))))
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e))))
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) (*.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24))) (fma.f64 -1 (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))) (/.f64 v (+.f64 1 e))))
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) (/.f64 1/24 (/.f64 (pow.f64 (+.f64 1 e) 2) e)))) (-.f64 (/.f64 v (+.f64 1 e)) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))))))
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (/.f64 (+.f64 1 e) e) 1/2)))) (-.f64 (/.f64 v (+.f64 1 e)) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))))))
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 7) (+.f64 (*.f64 -1/720 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2))))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/5040 (/.f64 1 (+.f64 1 e)))))))) (/.f64 v (+.f64 1 e)))))
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) (*.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24))) (fma.f64 -1 (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))) (fma.f64 -1 (*.f64 (pow.f64 v 7) (fma.f64 -1/720 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) (*.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24))) (/.f64 (+.f64 1 e) e)) (fma.f64 -1/24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) (/.f64 1/5040 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e)))))
(fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) (/.f64 1/24 (/.f64 (pow.f64 (+.f64 1 e) 2) e)))) (-.f64 (-.f64 (/.f64 v (+.f64 1 e)) (*.f64 (pow.f64 v 7) (fma.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) -1/720 (fma.f64 -1/2 (/.f64 e (/.f64 (+.f64 1 e) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 1/2 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) (/.f64 1/24 (/.f64 (pow.f64 (+.f64 1 e) 2) e)))))) (fma.f64 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (+.f64 1 e) e)) -1/24 (/.f64 1/5040 (+.f64 1 e))))))) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))))))
(-.f64 (fma.f64 (pow.f64 v 5) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (/.f64 (+.f64 1 e) e) 1/2)))) (-.f64 (/.f64 v (+.f64 1 e)) (*.f64 (pow.f64 v 3) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))))) (*.f64 (pow.f64 v 7) (fma.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) -1/720 (fma.f64 -1/2 (*.f64 (/.f64 e (+.f64 1 e)) (-.f64 (/.f64 1/120 (+.f64 1 e)) (fma.f64 (/.f64 e (pow.f64 (+.f64 1 e) 2)) 1/24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 (/.f64 (+.f64 1 e) e) 1/2))))) (fma.f64 (*.f64 (/.f64 e (+.f64 1 e)) (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e)))) -1/24 (/.f64 1/5040 (+.f64 1 e)))))))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))
(+.f64 (sin.f64 v) (neg.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) e)))
(-.f64 (sin.f64 v) (*.f64 e (*.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))))
(+.f64 (sin.f64 v) (fma.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)) (neg.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) e))))
(-.f64 (*.f64 (+.f64 (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))) 1) (sin.f64 v)) (*.f64 e (*.f64 (sin.f64 v) (cos.f64 v))))
(*.f64 (sin.f64 v) (-.f64 (+.f64 (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))) 1) (*.f64 e (cos.f64 v))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))))
(+.f64 (sin.f64 v) (fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (fma.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)) (neg.f64 (*.f64 (*.f64 (sin.f64 v) (cos.f64 v)) e)))))
(+.f64 (sin.f64 v) (-.f64 (-.f64 (*.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (*.f64 e (*.f64 (sin.f64 v) (cos.f64 v)))) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(-.f64 (*.f64 (sin.f64 v) (-.f64 (+.f64 (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))) 1) (*.f64 e (cos.f64 v)))) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))
(/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e)
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)))))
(-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(-.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))))))
(+.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 3)) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))))))
(+.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))
(/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e)
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e)))))
(-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(-.f64 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3))))
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(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) e)
(/.f64 (*.f64 (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)
1
(+.f64 1 (/.f64 v (+.f64 1 e)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2))) (+.f64 1 (/.f64 v (+.f64 1 e))))
(fma.f64 1/2 (/.f64 (*.f64 v v) (pow.f64 (+.f64 1 e) 2)) (+.f64 1 (/.f64 v (+.f64 1 e))))
(+.f64 (/.f64 v (+.f64 1 e)) (fma.f64 1/2 (/.f64 (*.f64 v v) (pow.f64 (+.f64 1 e) 2)) 1))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2))) (+.f64 1 (+.f64 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e))))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 1 e) 3))))) (/.f64 v (+.f64 1 e)))))
(fma.f64 1/2 (/.f64 (*.f64 v v) (pow.f64 (+.f64 1 e) 2)) (+.f64 1 (fma.f64 (pow.f64 v 3) (fma.f64 -1 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 1/6 (pow.f64 (+.f64 1 e) 3))) (/.f64 v (+.f64 1 e)))))
(+.f64 (fma.f64 (pow.f64 v 3) (-.f64 (/.f64 1/6 (pow.f64 (+.f64 1 e) 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 1/2 (/.f64 (*.f64 v v) (pow.f64 (+.f64 1 e) 2)) 1))
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))))
(exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))))
(exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))))
(exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))))
(exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))))
(exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))))
(exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))))
(exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(exp.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))))
(exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(exp.f64 (sin.f64 v))
(+.f64 (exp.f64 (sin.f64 v)) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 (exp.f64 (sin.f64 v)) e)))))
(+.f64 (exp.f64 (sin.f64 v)) (neg.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e (exp.f64 (sin.f64 v)))))))
(-.f64 (exp.f64 (sin.f64 v)) (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e (exp.f64 (sin.f64 v))))))
(-.f64 (exp.f64 (sin.f64 v)) (*.f64 (*.f64 e (*.f64 (sin.f64 v) (cos.f64 v))) (exp.f64 (sin.f64 v))))
(+.f64 (exp.f64 (sin.f64 v)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 (exp.f64 (sin.f64 v)) e)))) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))) (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))) (*.f64 (exp.f64 (sin.f64 v)) (pow.f64 e 2)))))
(+.f64 (exp.f64 (sin.f64 v)) (fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e (exp.f64 (sin.f64 v))))) (*.f64 (fma.f64 1/2 (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 (sin.f64 v) 2)) (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))) (*.f64 (*.f64 e e) (exp.f64 (sin.f64 v))))))
(+.f64 (exp.f64 (sin.f64 v)) (-.f64 (*.f64 (exp.f64 (sin.f64 v)) (*.f64 (*.f64 e e) (*.f64 (pow.f64 (cos.f64 v) 2) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 v) 2)) (sin.f64 v))))) (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e (exp.f64 (sin.f64 v)))))))
(+.f64 (exp.f64 (sin.f64 v)) (*.f64 (exp.f64 (sin.f64 v)) (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (+.f64 (sin.f64 v) (*.f64 1/2 (pow.f64 (sin.f64 v) 2)))) (*.f64 e e)) (*.f64 e (*.f64 (sin.f64 v) (cos.f64 v))))))
(+.f64 (exp.f64 (sin.f64 v)) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 (exp.f64 (sin.f64 v)) e)))) (+.f64 (*.f64 (exp.f64 (sin.f64 v)) (*.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))) (*.f64 -1/6 (*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))))) (pow.f64 e 3))) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))) (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))) (*.f64 (exp.f64 (sin.f64 v)) (pow.f64 e 2))))))
(+.f64 (exp.f64 (sin.f64 v)) (fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e (exp.f64 (sin.f64 v))))) (fma.f64 (exp.f64 (sin.f64 v)) (*.f64 (pow.f64 e 3) (fma.f64 -1 (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 (sin.f64 v) 2)) (fma.f64 -1 (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (*.f64 (*.f64 -1/6 (pow.f64 (sin.f64 v) 3)) (pow.f64 (cos.f64 v) 3))))) (*.f64 (fma.f64 1/2 (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 (sin.f64 v) 2)) (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2))) (*.f64 (*.f64 e e) (exp.f64 (sin.f64 v)))))))
(+.f64 (exp.f64 (sin.f64 v)) (-.f64 (fma.f64 (exp.f64 (sin.f64 v)) (*.f64 (pow.f64 e 3) (-.f64 (*.f64 (pow.f64 (cos.f64 v) 3) (+.f64 (neg.f64 (sin.f64 v)) (*.f64 -1/6 (pow.f64 (sin.f64 v) 3)))) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 (sin.f64 v) 2)))) (*.f64 (exp.f64 (sin.f64 v)) (*.f64 (*.f64 e e) (*.f64 (pow.f64 (cos.f64 v) 2) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 v) 2)) (sin.f64 v)))))) (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e (exp.f64 (sin.f64 v)))))))
(+.f64 (-.f64 (exp.f64 (sin.f64 v)) (*.f64 (*.f64 e (*.f64 (sin.f64 v) (cos.f64 v))) (exp.f64 (sin.f64 v)))) (*.f64 (exp.f64 (sin.f64 v)) (+.f64 (*.f64 (*.f64 e e) (*.f64 (pow.f64 (cos.f64 v) 2) (+.f64 (sin.f64 v) (*.f64 1/2 (pow.f64 (sin.f64 v) 2))))) (*.f64 (pow.f64 e 3) (*.f64 (pow.f64 (cos.f64 v) 3) (-.f64 (-.f64 (*.f64 -1/6 (pow.f64 (sin.f64 v) 3)) (sin.f64 v)) (pow.f64 (sin.f64 v) 2)))))))
1
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) 1)
(+.f64 1 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))))
(+.f64 1 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (+.f64 (+.f64 1 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))))))
(+.f64 (-.f64 1 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))))) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(+.f64 (-.f64 1 (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2))) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3))))))))
(+.f64 (-.f64 (+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))))))) (/.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3))) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(+.f64 (+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (/.f64 (sin.f64 v) (cos.f64 v)) 3) (pow.f64 e 3)) (-.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)) (pow.f64 (cos.f64 v) 3)) (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2)))) (-.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (pow.f64 e 3)))) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e)))
1
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) 1)
(+.f64 1 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))))
(+.f64 1 (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (+.f64 (+.f64 1 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))))))
(+.f64 (-.f64 1 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))))) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(+.f64 (-.f64 1 (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2))) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))) (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))))) (pow.f64 e 3))) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))))))))
(fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))) (+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (fma.f64 -1 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (/.f64 (*.f64 -1/6 (pow.f64 (sin.f64 v) 3)) (pow.f64 (cos.f64 v) 3)))) (pow.f64 e 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 e e))))))))
(+.f64 (-.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (-.f64 (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)))) (pow.f64 e 3))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))))) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(+.f64 (-.f64 1 (+.f64 (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 2)) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (-.f64 (*.f64 -1/6 (pow.f64 (/.f64 (sin.f64 v) (cos.f64 v)) 3)) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)))) (pow.f64 e 3)))) (fma.f64 1/2 (/.f64 (pow.f64 (sin.f64 v) 2) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))) (/.f64 (/.f64 (sin.f64 v) (cos.f64 v)) e)))

eval433.0ms (5.6%)

Compiler

Compiled 19758 to 9313 computations (52.9% saved)

prune144.0ms (1.8%)

Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New82024844
Fresh11011
Picked101
Done224
Total83426860
Error
0b
Counts
860 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
0.8b
(*.f64 (sin.f64 v) e)
48.4b
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
15.5b
(*.f64 e (log.f64 (exp.f64 (sin.f64 v))))
15.2b
(*.f64 e (log.f64 (log.f64 (exp.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))
0.5b
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
1.0b
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) e)) (+.f64 1 (*.f64 e (cos.f64 v))))
31.9b
(*.f64 e (pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 2))
36.4b
(/.f64 (cbrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3)) (+.f64 1 e))
25.9b
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) 2)
63.1b
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
1.6b
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) 3)
33.1b
(*.f64 v (-.f64 e (*.f64 e e)))
61.3b
v
0.2b
(*.f64 e (expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))))
0.3b
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))
47.4b
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
9.6b
(*.f64 e (cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 3)))
32.0b
(/.f64 (*.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v))) (+.f64 1 (*.f64 e (cos.f64 v))))
15.1b
(*.f64 e (-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1))
0.1b
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
33.0b
(/.f64 e (/.f64 (+.f64 e 1) v))
33.2b
(*.f64 v e)
0.5b
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
62.7b
(-.f64 v (/.f64 v e))
1.1b
(/.f64 1 (/.f64 (fma.f64 (cos.f64 v) e 1) (*.f64 e (sin.f64 v))))
33.9b
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v)))
Compiler

Compiled 603 to 417 computations (30.8% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))
0.1b
(*.f64 e (expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))))
0.2b
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))
0.3b
(log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))
Compiler

Compiled 53 to 25 computations (52.8% saved)

series77.0ms (1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
39.0ms
v
@inf
(log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))
25.0ms
v
@-inf
(log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))
2.0ms
e
@inf
(log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))
1.0ms
e
@0
(log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))
1.0ms
v
@0
(log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))

rewrite74.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01153
119653
2238253
Stop Event
node limit
Counts
4 → 112
Calls
Call 1
Inputs
(log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))
(*.f64 e (expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 2)) (cbrt.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))) (sqrt.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) (/.f64 1 (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 2) (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) (/.f64 1 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 v)) (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 v)) (/.f64 1 (neg.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (cos.f64 v) e 1)) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 v)) (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 v)) 1) (/.f64 (sqrt.f64 (sin.f64 v)) (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 v) e 1)) 2)) (/.f64 (sin.f64 v) (cbrt.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 v) e 1)) 2)) (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 v)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 v) e 1)) 2)) (/.f64 (sqrt.f64 (sin.f64 v)) (cbrt.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 (cos.f64 v) e 1))) (/.f64 (sin.f64 v) (sqrt.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (sqrt.f64 (fma.f64 (cos.f64 v) e 1))) (/.f64 (cbrt.f64 (sin.f64 v)) (sqrt.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (/.f64 (fma.f64 (cos.f64 v) e 1) (cbrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 v)) (/.f64 (fma.f64 (cos.f64 v) e 1) (sqrt.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 v)) (neg.f64 (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 v) (sqrt.f64 (fma.f64 (cos.f64 v) e 1))) (sqrt.f64 (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 3) 1) (+.f64 (*.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))) 1) (+.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 v) 1) (fma.f64 (cos.f64 v) e 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 v) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 v) e 1)) 2)) (cbrt.f64 (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 v) (neg.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (fma.f64 (cos.f64 v) e 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 v)) e) (neg.f64 (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (neg.f64 (sin.f64 v))) (neg.f64 (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 e 3) (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 3) (pow.f64 e 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) (/.f64 1 (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 2) (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) (/.f64 1 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 v)) (*.f64 (sqrt.f64 (sin.f64 v)) (/.f64 1 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 v)) (/.f64 1 (neg.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (cos.f64 v) e 1)) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 v)) (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 v)) 1) (/.f64 (sqrt.f64 (sin.f64 v)) (fma.f64 (cos.f64 v) e 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 v) e 1)) 2)) (/.f64 (sin.f64 v) (cbrt.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 v) e 1)) 2)) (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 v)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 v) e 1)) 2)) (/.f64 (sqrt.f64 (sin.f64 v)) (cbrt.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 (cos.f64 v) e 1))) (/.f64 (sin.f64 v) (sqrt.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (sqrt.f64 (fma.f64 (cos.f64 v) e 1))) (/.f64 (cbrt.f64 (sin.f64 v)) (sqrt.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 v) (neg.f64 (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (fma.f64 (cos.f64 v) e 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))))))))

simplify98.0ms (1.3%)

Algorithm
egg-herbie
Rules
755×associate-/l*_binary64
676×associate-/r*_binary64
421×distribute-rgt-in_binary64
411×distribute-lft-in_binary64
246×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02694200
18484038
232383963
Stop Event
node limit
Counts
208 → 155
Calls
Call 1
Inputs
(/.f64 v (+.f64 1 e))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2))) (/.f64 v (+.f64 1 e)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -6 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e))))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 e) 3)))))) (/.f64 v (+.f64 1 e))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 v 4) (-.f64 (*.f64 24 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) (+.f64 1 e))) (*.f64 6 (/.f64 1 (pow.f64 (+.f64 1 e) 4)))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -6 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e))))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 e) 3)))))) (/.f64 v (+.f64 1 e)))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))))
(log.f64 (+.f64 (sin.f64 v) 1))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (sin.f64 v) 1))) (log.f64 (+.f64 (sin.f64 v) 1)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 e 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2)) (pow.f64 (+.f64 (sin.f64 v) 1) 2))) (*.f64 2 (/.f64 (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (+.f64 (sin.f64 v) 1)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (sin.f64 v) 1))) (log.f64 (+.f64 (sin.f64 v) 1))))
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 6 (/.f64 (*.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3)) (pow.f64 (+.f64 (sin.f64 v) 1) 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3)) (pow.f64 (+.f64 (sin.f64 v) 1) 3))) (*.f64 -6 (/.f64 (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3)) (+.f64 (sin.f64 v) 1))))) (pow.f64 e 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 e 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2)) (pow.f64 (+.f64 (sin.f64 v) 1) 2))) (*.f64 2 (/.f64 (*.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)) (+.f64 (sin.f64 v) 1)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (sin.f64 v) 1))) (log.f64 (+.f64 (sin.f64 v) 1)))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))) (*.f64 -2 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))) (pow.f64 e 2))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))) (*.f64 -2 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))) (pow.f64 e 2))) (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))) (+.f64 (*.f64 6 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3))) (*.f64 6 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))))) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))) (*.f64 -2 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))) (pow.f64 e 2))) (+.f64 (*.f64 1/24 (/.f64 (+.f64 (*.f64 -6 (/.f64 (pow.f64 (sin.f64 v) 4) (pow.f64 (cos.f64 v) 4))) (+.f64 (*.f64 -24 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 4))) (+.f64 (*.f64 -24 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 4))) (+.f64 (*.f64 -12 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 4))) (*.f64 -24 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4))))))) (pow.f64 e 4))) (*.f64 1/6 (/.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))) (+.f64 (*.f64 6 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3))) (*.f64 6 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))))) (pow.f64 e 3))))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))) (*.f64 -2 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))) (pow.f64 e 2))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))) (*.f64 -2 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))) (pow.f64 e 2))) (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -6 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))) (*.f64 -6 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3))))) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 2))) (*.f64 -2 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 2)))) (pow.f64 e 2))) (+.f64 (*.f64 1/24 (/.f64 (+.f64 (*.f64 -6 (/.f64 (pow.f64 (sin.f64 v) 4) (pow.f64 (cos.f64 v) 4))) (+.f64 (*.f64 -24 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 4))) (+.f64 (*.f64 -24 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 4))) (+.f64 (*.f64 -12 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 4))) (*.f64 -24 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 4))))))) (pow.f64 e 4))) (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -6 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (cos.f64 v) 3))) (*.f64 -6 (/.f64 (pow.f64 (sin.f64 v) 2) (pow.f64 (cos.f64 v) 3))))) (pow.f64 e 3))))))
(/.f64 v (+.f64 1 e))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e)))
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e))))
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 7) (+.f64 (*.f64 -1/720 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2))))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/5040 (/.f64 1 (+.f64 1 e)))))))) (/.f64 v (+.f64 1 e)))))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(*.f64 (sin.f64 v) e)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (*.f64 v e) (+.f64 1 e)))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (+.f64 (*.f64 (pow.f64 v 7) (-.f64 (*.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (*.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 v (+.f64 1 e))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e)))
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (/.f64 v (+.f64 1 e))))
(+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 v 7) (+.f64 (*.f64 -1/720 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 1 (+.f64 1 e))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/24 (/.f64 e (pow.f64 (+.f64 1 e) 2))))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) e) (+.f64 1 e))) (*.f64 1/5040 (/.f64 1 (+.f64 1 e)))))))) (/.f64 v (+.f64 1 e)))))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)))))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))) (+.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2))) (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
Outputs
(/.f64 v (+.f64 1 e))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2))) (/.f64 v (+.f64 1 e)))
(fma.f64 -1/2 (/.f64 (*.f64 v v) (pow.f64 (+.f64 1 e) 2)) (/.f64 v (+.f64 1 e)))
(fma.f64 -1/2 (/.f64 v (/.f64 (pow.f64 (+.f64 1 e) 2) v)) (/.f64 v (+.f64 1 e)))
(fma.f64 -1/2 (*.f64 (/.f64 v (pow.f64 (+.f64 1 e) 2)) v) (/.f64 v (+.f64 1 e)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -6 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e))))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 e) 3)))))) (/.f64 v (+.f64 1 e))))
(fma.f64 -1/2 (/.f64 (*.f64 v v) (pow.f64 (+.f64 1 e) 2)) (fma.f64 1/6 (*.f64 (pow.f64 v 3) (fma.f64 -6 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 2 (pow.f64 (+.f64 1 e) 3)))) (/.f64 v (+.f64 1 e))))
(fma.f64 -1/2 (/.f64 v (/.f64 (pow.f64 (+.f64 1 e) 2) v)) (fma.f64 1/6 (*.f64 (pow.f64 v 3) (fma.f64 -6 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 2 (pow.f64 (+.f64 1 e) 3)))) (/.f64 v (+.f64 1 e))))
(fma.f64 -1/2 (*.f64 (/.f64 v (pow.f64 (+.f64 1 e) 2)) v) (fma.f64 1/6 (*.f64 (pow.f64 v 3) (fma.f64 -6 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 2 (pow.f64 (+.f64 1 e) 3)))) (/.f64 v (+.f64 1 e))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 v 2) (pow.f64 (+.f64 1 e) 2))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 v 4) (-.f64 (*.f64 24 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e)))) (+.f64 1 e))) (*.f64 6 (/.f64 1 (pow.f64 (+.f64 1 e) 4)))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 v 3) (+.f64 (*.f64 -6 (+.f64 (*.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2))) (*.f64 1/6 (/.f64 1 (+.f64 1 e))))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 e) 3)))))) (/.f64 v (+.f64 1 e)))))
(fma.f64 -1/2 (/.f64 (*.f64 v v) (pow.f64 (+.f64 1 e) 2)) (fma.f64 1/24 (*.f64 (pow.f64 v 4) (-.f64 (*.f64 24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (+.f64 1 e))) (/.f64 6 (pow.f64 (+.f64 1 e) 4)))) (fma.f64 1/6 (*.f64 (pow.f64 v 3) (fma.f64 -6 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 2 (pow.f64 (+.f64 1 e) 3)))) (/.f64 v (+.f64 1 e)))))
(fma.f64 -1/2 (/.f64 v (/.f64 (pow.f64 (+.f64 1 e) 2) v)) (fma.f64 1/24 (*.f64 (pow.f64 v 4) (fma.f64 24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (+.f64 1 e)) (/.f64 -6 (pow.f64 (+.f64 1 e) 4)))) (fma.f64 1/6 (*.f64 (pow.f64 v 3) (fma.f64 -6 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 2 (pow.f64 (+.f64 1 e) 3)))) (/.f64 v (+.f64 1 e)))))
(fma.f64 -1/2 (*.f64 (/.f64 v (pow.f64 (+.f64 1 e) 2)) v) (fma.f64 1/24 (*.f64 (pow.f64 v 4) (fma.f64 24 (/.f64 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (+.f64 1 e)) (/.f64 -6 (pow.f64 (+.f64 1 e) 4)))) (fma.f64 1/6 (*.f64 (pow.f64 v 3) (fma.f64 -6 (fma.f64 -1/2 (/.f64 e (pow.f64 (+.f64 1 e) 2)) (/.f64 1/6 (+.f64 1 e))) (/.f64 2 (pow.f64 (+.f64 1 e) 3)))) (/.f64 v (+.f64 1 e)))))
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))))
(log1p.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))))
(log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))))
(log1p.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))))
(log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))))
(log1p.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))))
(log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))))
(log1p.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))))
(log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))))
(log1p.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))))
(log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))))
(log1p.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))))
(log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))))
(log1p.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))))
(log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(log.f64 (+.f64 1 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e)))))
(log1p.f64 (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))))
(log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(log.f64 (+.f64 (sin.f64 v) 1))
(log.f64 (+.f64 1 (sin.f64 v)))
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(+.f64 (/.f64 (/.f64 (sin.f64 v) e) (cos.f64 v)) (-.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 4)) (pow.f64 (cos.f64 v) 4)))))
(/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e))
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))
(/.f64 (/.f64 (sin.f64 v) e) (cos.f64 v))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (neg.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)))))
(-.f64 (/.f64 (/.f64 (sin.f64 v) e) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(-.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3)))))
(+.f64 (/.f64 (/.f64 (sin.f64 v) e) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (cos.f64 v) e)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))))))
(+.f64 (/.f64 (/.f64 (sin.f64 v) e) (cos.f64 v)) (-.f64 (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 4)))) (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 2))))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v))) (-.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 3))) (+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 2))) (/.f64 (/.f64 (sin.f64 v) (pow.f64 e 4)) (pow.f64 (cos.f64 v) 4)))))

localize9.0ms (0.1%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 27 to 14 computations (48.1% saved)

series5.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite61.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
117820
2256020
Stop Event
node limit
Counts
2 → 87
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v)))
(/.f64 (+.f64 e 1) (*.f64 e v))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 e (/.f64 (+.f64 1 e) v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 e (/.f64 (+.f64 1 e) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e v) (/.f64 1 (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (/.f64 (+.f64 1 e) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 e (/.f64 (+.f64 1 e) v))) (pow.f64 (cbrt.f64 (/.f64 e (/.f64 (+.f64 1 e) v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 e (/.f64 (+.f64 1 e) v))) 2) (cbrt.f64 (/.f64 e (/.f64 (+.f64 1 e) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 e (/.f64 (+.f64 1 e) v))) (sqrt.f64 (/.f64 e (/.f64 (+.f64 1 e) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (+.f64 -1 (neg.f64 e)) (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 e)) (*.f64 e v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 e)) (pow.f64 (/.f64 1 (*.f64 e v)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e 1) (/.f64 v (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v 1) (/.f64 e (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 e v)) 2) 1) (/.f64 (cbrt.f64 (*.f64 e v)) (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 e v)) 1) (/.f64 (sqrt.f64 (*.f64 e v)) (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 e)) 2)) (/.f64 (*.f64 e v) (cbrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (pow.f64 (cbrt.f64 (+.f64 1 e)) 2)) (/.f64 v (cbrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v (pow.f64 (cbrt.f64 (+.f64 1 e)) 2)) (/.f64 e (cbrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 e v)) 2) (pow.f64 (cbrt.f64 (+.f64 1 e)) 2)) (/.f64 (cbrt.f64 (*.f64 e v)) (cbrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 e v)) (pow.f64 (cbrt.f64 (+.f64 1 e)) 2)) (/.f64 (sqrt.f64 (*.f64 e v)) (cbrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 e))) (/.f64 (*.f64 e v) (sqrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 e (sqrt.f64 (+.f64 1 e))) (/.f64 v (sqrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v (sqrt.f64 (+.f64 1 e))) (/.f64 e (sqrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 e v)) 2) (sqrt.f64 (+.f64 1 e))) (/.f64 (cbrt.f64 (*.f64 e v)) (sqrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 e v)) (sqrt.f64 (+.f64 1 e))) (/.f64 (sqrt.f64 (*.f64 e v)) (sqrt.f64 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (neg.f64 e))) (*.f64 e (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 e v) (+.f64 1 (pow.f64 e 3))) (fma.f64 e e (-.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 e v) (fma.f64 e e -1)) (+.f64 e -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 e)) 1) (*.f64 e v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 e)) e) v)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 e)) v) e)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 e)) (pow.f64 (cbrt.f64 (*.f64 e v)) 2)) (cbrt.f64 (*.f64 e v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 1 e)) (sqrt.f64 (*.f64 e v))) (sqrt.f64 (*.f64 e v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 e) (*.f64 e v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 e (/.f64 (+.f64 1 e) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 e (/.f64 (+.f64 1 e) v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 e (/.f64 (+.f64 1 e) v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 e (/.f64 (+.f64 1 e) v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 e) (*.f64 e v)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 e (/.f64 (+.f64 1 e) v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 e (/.f64 (+.f64 1 e) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 e (/.f64 (+.f64 1 e) v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 e v) 3) (pow.f64 (+.f64 1 e) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 e (/.f64 (+.f64 1 e) v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 e (/.f64 (+.f64 1 e) v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 e v)) (log1p.f64 e)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 e) (*.f64 e v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 e) (*.f64 e v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 e) (/.f64 1 (*.f64 e v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 e) (*.f64 e v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))) 2) (cbrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 e)) 2) (*.f64 (cbrt.f64 (+.f64 1 e)) (/.f64 1 (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))) (sqrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 e)) (*.f64 (sqrt.f64 (+.f64 1 e)) (/.f64 1 (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 e)) (/.f64 1 (*.f64 e (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 e v)) (+.f64 1 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 e)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 e)) (*.f64 e v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 e)) 1) (/.f64 (sqrt.f64 (+.f64 1 e)) (*.f64 e v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 e)) e) (/.f64 (sqrt.f64 (+.f64 1 e)) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 e) (/.f64 (+.f64 1 e) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 e)) 2) e) (/.f64 (cbrt.f64 (+.f64 1 e)) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 e)) v) (/.f64 (sqrt.f64 (+.f64 1 e)) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (/.f64 (+.f64 1 e) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 e)) 2) v) (/.f64 (cbrt.f64 (+.f64 1 e)) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 e v)) 2)) (/.f64 (+.f64 1 e) (cbrt.f64 (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 e)) 2) (pow.f64 (cbrt.f64 (*.f64 e v)) 2)) (cbrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 e)) (pow.f64 (cbrt.f64 (*.f64 e v)) 2)) (/.f64 (sqrt.f64 (+.f64 1 e)) (cbrt.f64 (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 e v))) (/.f64 (+.f64 1 e) (sqrt.f64 (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 e)) 2) (sqrt.f64 (*.f64 e v))) (/.f64 (cbrt.f64 (+.f64 1 e)) (sqrt.f64 (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 e) (*.f64 e v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 e (/.f64 (+.f64 1 e) v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 e) (*.f64 e v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 e) (*.f64 e v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 e) (*.f64 e (neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 e) (*.f64 e v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 e) (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 e) (*.f64 e v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 e) (*.f64 e v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 e) 3) (pow.f64 (*.f64 e v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 e) (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 e) (*.f64 e v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 e) (log.f64 (*.f64 e v))))))))

simplify54.0ms (0.7%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
041548
1107536
2270526
3970509
44252502
Stop Event
node limit
Counts
135 → 109
Calls
Call 1
Inputs
(*.f64 v e)
(+.f64 (*.f64 v e) (*.f64 -1 (*.f64 v (pow.f64 e 2))))
(+.f64 (*.f64 v e) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 2))) (*.f64 v (pow.f64 e 3))))
(+.f64 (*.f64 v e) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 2))) (+.f64 (*.f64 v (pow.f64 e 3)) (*.f64 -1 (*.f64 v (pow.f64 e 4))))))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 1 (*.f64 v e))
(+.f64 (/.f64 1 v) (/.f64 1 (*.f64 v e)))
(+.f64 (/.f64 1 v) (/.f64 1 (*.f64 v e)))
(+.f64 (/.f64 1 v) (/.f64 1 (*.f64 v e)))
(/.f64 1 v)
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(/.f64 1 v)
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
Outputs
(*.f64 v e)
(+.f64 (*.f64 v e) (*.f64 -1 (*.f64 v (pow.f64 e 2))))
(fma.f64 v e (neg.f64 (*.f64 v (*.f64 e e))))
(-.f64 (*.f64 v e) (*.f64 v (*.f64 e e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(+.f64 (*.f64 v e) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 2))) (*.f64 v (pow.f64 e 3))))
(fma.f64 v e (fma.f64 -1 (*.f64 v (*.f64 e e)) (*.f64 v (pow.f64 e 3))))
(fma.f64 v e (-.f64 (*.f64 v (pow.f64 e 3)) (*.f64 v (*.f64 e e))))
(fma.f64 v e (*.f64 v (-.f64 (pow.f64 e 3) (*.f64 e e))))
(*.f64 (*.f64 v e) (-.f64 (fma.f64 e e 1) e))
(*.f64 v (*.f64 e (-.f64 (fma.f64 e e 1) e)))
(+.f64 (*.f64 v e) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 2))) (+.f64 (*.f64 v (pow.f64 e 3)) (*.f64 -1 (*.f64 v (pow.f64 e 4))))))
(fma.f64 v e (fma.f64 -1 (*.f64 v (*.f64 e e)) (fma.f64 v (pow.f64 e 3) (neg.f64 (*.f64 v (pow.f64 e 4))))))
(fma.f64 v e (-.f64 (-.f64 (*.f64 v (pow.f64 e 3)) (*.f64 v (pow.f64 e 4))) (*.f64 v (*.f64 e e))))
(+.f64 (*.f64 v (-.f64 e (*.f64 e e))) (*.f64 v (-.f64 (pow.f64 e 3) (pow.f64 e 4))))
(*.f64 (-.f64 e (*.f64 e e)) (*.f64 (fma.f64 e e 1) v))
(*.f64 (+.f64 e (pow.f64 e 3)) (-.f64 v (*.f64 v e)))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (neg.f64 (/.f64 v e)))
(-.f64 v (/.f64 v e))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (/.f64 v (*.f64 e e))))
(+.f64 v (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e)))
(-.f64 (+.f64 v (/.f64 v (*.f64 e e))) (/.f64 v e))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (fma.f64 -1 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e)))))
(+.f64 v (-.f64 (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v (pow.f64 e 3))) (/.f64 v e)))
(+.f64 v (-.f64 (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 v (*.f64 e e))) (/.f64 v e)))
(+.f64 v (-.f64 (/.f64 (-.f64 v (/.f64 v e)) (*.f64 e e)) (/.f64 v e)))
(*.f64 (+.f64 1 (/.f64 -1 e)) (+.f64 v (/.f64 v (*.f64 e e))))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (neg.f64 (/.f64 v e)))
(-.f64 v (/.f64 v e))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (/.f64 v (*.f64 e e))))
(+.f64 v (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e)))
(-.f64 (+.f64 v (/.f64 v (*.f64 e e))) (/.f64 v e))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (fma.f64 -1 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e)))))
(+.f64 v (-.f64 (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v (pow.f64 e 3))) (/.f64 v e)))
(+.f64 v (-.f64 (*.f64 (+.f64 (/.f64 -1 e) 1) (/.f64 v (*.f64 e e))) (/.f64 v e)))
(+.f64 v (-.f64 (/.f64 (-.f64 v (/.f64 v e)) (*.f64 e e)) (/.f64 v e)))
(*.f64 (+.f64 1 (/.f64 -1 e)) (+.f64 v (/.f64 v (*.f64 e e))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 e (/.f64 (+.f64 e 1) v))
(/.f64 v (/.f64 (+.f64 e 1) e))
(*.f64 v (/.f64 e (+.f64 e 1)))
(/.f64 1 (*.f64 v e))
(+.f64 (/.f64 1 v) (/.f64 1 (*.f64 v e)))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 v) (/.f64 1 (*.f64 v e)))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 v) (/.f64 1 (*.f64 v e)))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(/.f64 1 v)
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(/.f64 1 v)
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(+.f64 (/.f64 1 (*.f64 v e)) (/.f64 1 v))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))
(/.f64 (+.f64 1 e) (*.f64 v e))
(/.f64 (+.f64 e 1) (*.f64 v e))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(exp.f64 (sin.f64 v))
0.1b
(*.f64 e (log.f64 (exp.f64 (sin.f64 v))))
1.9b
(log.f64 (exp.f64 (sin.f64 v)))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0%)

Counts
3 → 40
Calls

12 calls:

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

rewrite49.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
531×pow1_binary64
504×add-sqr-sqrt_binary64
484×log1p-expm1-u_binary64
484×expm1-log1p-u_binary64
483×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
111914
2133014
Stop Event
node limit
Counts
3 → 49
Calls
Call 1
Inputs
(log.f64 (exp.f64 (sin.f64 v)))
(*.f64 e (log.f64 (exp.f64 (sin.f64 v))))
(exp.f64 (sin.f64 v))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 v)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 v))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 v)) (pow.f64 (cbrt.f64 (sin.f64 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 v)) (sqrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 v)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 v)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 v) e) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 v) e)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (sin.f64 v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (sin.f64 v))) (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 v))) 2) (cbrt.f64 (exp.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (sin.f64 v))) (sqrt.f64 (exp.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sin.f64 v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (sin.f64 v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (sin.f64 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2)) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (sin.f64 v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (sin.f64 v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (sin.f64 v))))))))

simplify182.0ms (2.3%)

Algorithm
egg-herbie
Rules
838×fma-def_binary64
730×sqr-pow_binary64
510×*-commutative_binary64
492×cube-prod_binary64
395×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051310
1129300
2329286
31001278
42732278
53658278
63855278
74089278
84363278
94675278
105099278
115652278
126229278
136947278
147275278
157619278
167911278
Stop Event
node limit
Counts
89 → 70
Calls
Call 1
Inputs
v
(+.f64 v (*.f64 -1/6 (pow.f64 v 3)))
(+.f64 v (+.f64 (*.f64 -1/6 (pow.f64 v 3)) (*.f64 1/120 (pow.f64 v 5))))
(+.f64 v (+.f64 (*.f64 -1/6 (pow.f64 v 3)) (+.f64 (*.f64 -1/5040 (pow.f64 v 7)) (*.f64 1/120 (pow.f64 v 5)))))
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 v e)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (*.f64 v e))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (+.f64 (*.f64 v e) (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
1
(+.f64 v 1)
(+.f64 v (+.f64 1 (*.f64 1/2 (pow.f64 v 2))))
(+.f64 v (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 v 2)) (*.f64 -1/8 (pow.f64 v 4)))))
Outputs
v
(+.f64 v (*.f64 -1/6 (pow.f64 v 3)))
(fma.f64 -1/6 (pow.f64 v 3) v)
(+.f64 v (+.f64 (*.f64 -1/6 (pow.f64 v 3)) (*.f64 1/120 (pow.f64 v 5))))
(+.f64 v (fma.f64 -1/6 (pow.f64 v 3) (*.f64 1/120 (pow.f64 v 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 v 3) v) (*.f64 1/120 (pow.f64 v 5)))
(fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) v))
(+.f64 v (+.f64 (*.f64 -1/6 (pow.f64 v 3)) (+.f64 (*.f64 -1/5040 (pow.f64 v 7)) (*.f64 1/120 (pow.f64 v 5)))))
(+.f64 v (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 -1/5040 (pow.f64 v 7) (*.f64 1/120 (pow.f64 v 5)))))
(+.f64 (fma.f64 -1/6 (pow.f64 v 3) v) (fma.f64 1/120 (pow.f64 v 5) (*.f64 -1/5040 (pow.f64 v 7))))
(fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) v)))
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(sin.f64 v)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 v e)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (*.f64 v e))
(fma.f64 -1/6 (*.f64 (pow.f64 v 3) e) (*.f64 v e))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v))
(*.f64 (fma.f64 -1/6 (pow.f64 v 3) v) e)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(fma.f64 -1/6 (*.f64 (pow.f64 v 3) e) (fma.f64 1/120 (*.f64 (pow.f64 v 5) e) (*.f64 v e)))
(+.f64 (*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v)) (*.f64 (pow.f64 v 5) (*.f64 e 1/120)))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) v)))
(*.f64 (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) v)) e)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (+.f64 (*.f64 v e) (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(fma.f64 -1/6 (*.f64 (pow.f64 v 3) e) (fma.f64 1/120 (*.f64 (pow.f64 v 5) e) (fma.f64 v e (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(+.f64 (*.f64 e (+.f64 v (*.f64 -1/5040 (pow.f64 v 7)))) (*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (*.f64 1/120 (pow.f64 v 5)))))
(*.f64 e (+.f64 v (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 -1/5040 (pow.f64 v 7) (*.f64 1/120 (pow.f64 v 5))))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) v))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
1
(+.f64 v 1)
(+.f64 v (+.f64 1 (*.f64 1/2 (pow.f64 v 2))))
(+.f64 v (+.f64 1 (*.f64 1/2 (*.f64 v v))))
(+.f64 v (fma.f64 1/2 (*.f64 v v) 1))
(+.f64 v (fma.f64 v (*.f64 v 1/2) 1))
(fma.f64 (fma.f64 v 1/2 1) v 1)
(+.f64 v (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 v 2)) (*.f64 -1/8 (pow.f64 v 4)))))
(+.f64 v (+.f64 1 (fma.f64 1/2 (*.f64 v v) (*.f64 -1/8 (pow.f64 v 4)))))
(+.f64 v (+.f64 (fma.f64 1/2 (*.f64 v v) 1) (*.f64 -1/8 (pow.f64 v 4))))
(+.f64 v (fma.f64 -1/8 (pow.f64 v 4) (fma.f64 v (*.f64 v 1/2) 1)))
(fma.f64 -1/8 (pow.f64 v 4) (fma.f64 (fma.f64 v 1/2 1) v 1))

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (cos.f64 v) (*.f64 e e))
0.1b
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
0.6b
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) 3)
12.4b
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))))
Compiler

Compiled 63 to 12 computations (81% saved)

series26.0ms (0.3%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
4.0ms
v
@0
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) 3)
3.0ms
v
@inf
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))))
3.0ms
v
@-inf
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))))
3.0ms
e
@-inf
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) 3)
2.0ms
v
@0
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))))

rewrite122.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
831×prod-diff_binary64
595×log-prod_binary64
307×fma-def_binary64
300×pow2_binary64
222×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01236
126036
2315836
Stop Event
node limit
Counts
2 → 69
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 v)) (cbrt.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) 1/6) (pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 e (sin.f64 v)) (*.f64 (*.f64 (*.f64 e e) (neg.f64 (cos.f64 v))) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (*.f64 e e) (neg.f64 (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 v)) e) (-.f64 1 (*.f64 e (cos.f64 v))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 v)) e) (-.f64 1 (*.f64 e (cos.f64 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 v)) e) (-.f64 1 (*.f64 e (cos.f64 v)))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 v)) e) (-.f64 1 (*.f64 e (cos.f64 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 2) (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) 2) (*.f64 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(*.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) (pow.f64 (cbrt.f64 (sin.f64 v)) 2)) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 2) 1) (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 2) (cbrt.f64 (sin.f64 v))) (cbrt.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 2) (pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) 1/6)) (pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 e 3) (pow.f64 (*.f64 e (*.f64 e (cos.f64 v))) 3)) (sin.f64 v)) (fma.f64 (*.f64 e (*.f64 e (cos.f64 v))) (fma.f64 e (*.f64 e (cos.f64 v)) e) (*.f64 e e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 e e) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 4))) (sin.f64 v)) (fma.f64 e (*.f64 e (cos.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 v) (-.f64 (pow.f64 e 3) (pow.f64 (*.f64 e (*.f64 e (cos.f64 v))) 3))) (fma.f64 (*.f64 e (*.f64 e (cos.f64 v))) (fma.f64 e (*.f64 e (cos.f64 v)) e) (*.f64 e e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 e e) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 4)))) (fma.f64 e (*.f64 e (cos.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 v)) e) (-.f64 1 (*.f64 e (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 v) 3) (pow.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))) 3) (pow.f64 (sin.f64 v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 v) e (*.f64 (sin.f64 v) (*.f64 (*.f64 e e) (neg.f64 (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 e (sin.f64 v) (*.f64 (*.f64 (*.f64 e e) (neg.f64 (cos.f64 v))) (sin.f64 v)))))))

simplify117.0ms (1.5%)

Algorithm
egg-herbie
Rules
883×fma-neg_binary64
610×unswap-sqr_binary64
586×unsub-neg_binary64
385×distribute-rgt-neg-in_binary64
295×neg-sub0_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015312
140288
282288
3217288
4773288
51569288
62658288
74487288
87150288
97889288
Stop Event
node limit
Counts
85 → 73
Calls
Call 1
Inputs
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3)
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3)
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3)
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3)
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3)
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3)
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3)
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3)
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3))
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3))
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3))
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3))
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3))
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3))
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3))
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3))
Outputs
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3)
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))))
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))
(cbrt.f64 (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1))))
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3)
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))))
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))
(cbrt.f64 (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1))))
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3)
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))))
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))
(cbrt.f64 (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1))))
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3)
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))))
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))
(cbrt.f64 (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1))))
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3)
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))))
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))
(cbrt.f64 (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1))))
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3)
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))))
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))
(cbrt.f64 (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1))))
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3)
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))))
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))
(cbrt.f64 (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1))))
(pow.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) 1/3)
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e)))))
(cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v))))))
(cbrt.f64 (*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1))))
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) (*.f64 (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) 1))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
(*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1)))
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) (*.f64 (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) 1))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
(*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1)))
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) (*.f64 (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) 1))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
(*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1)))
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) (*.f64 (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) 1))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
(*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1)))
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) (*.f64 (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) 1))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
(*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1)))
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) (*.f64 (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) 1))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
(*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1)))
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) (*.f64 (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) 1))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
(*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1)))
(*.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (pow.f64 e 2)))) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) (*.f64 (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))) 1))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
(*.f64 (sin.f64 v) (*.f64 (neg.f64 e) (fma.f64 e (cos.f64 v) -1)))

eval250.0ms (3.2%)

Compiler

Compiled 9799 to 5116 computations (47.8% saved)

prune93.0ms (1.2%)

Pruning

30 alts after pruning (26 fresh and 4 done)

PrunedKeptTotal
New45915474
Fresh81119
Picked101
Done246
Total47030500
Error
0b
Counts
500 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
0.8b
(*.f64 (sin.f64 v) e)
48.4b
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
36.7b
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3))
15.5b
(*.f64 e (log.f64 (exp.f64 (sin.f64 v))))
62.7b
(-.f64 v (/.f64 v e))
0.5b
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
26.1b
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
47.9b
(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)
1.1b
(/.f64 1 (/.f64 (fma.f64 (cos.f64 v) e 1) (*.f64 e (sin.f64 v))))
61.3b
v
33.2b
(*.f64 e (exp.f64 (log.f64 (sin.f64 v))))
0.3b
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))
33.1b
(*.f64 v (-.f64 e (*.f64 e e)))
47.4b
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
0.8b
(*.f64 e (expm1.f64 (log1p.f64 (sin.f64 v))))
32.0b
(/.f64 (*.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v))) (+.f64 1 (*.f64 e (cos.f64 v))))
0.1b
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
10.2b
(*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3)))
33.9b
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v)))
33.0b
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v)
15.6b
(*.f64 e (log.f64 (log.f64 (exp.f64 (exp.f64 (sin.f64 v))))))
32.6b
(*.f64 e (pow.f64 (sqrt.f64 (sin.f64 v)) 2))
33.0b
(/.f64 e (/.f64 (+.f64 e 1) v))
33.2b
(*.f64 v e)
0.5b
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
1.0b
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) e)) (+.f64 1 (*.f64 e (cos.f64 v))))
1.8b
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)
63.1b
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
15.4b
(*.f64 e (-.f64 (+.f64 1 (sin.f64 v)) 1))
34.1b
(/.f64 1 (/.f64 1 (*.f64 v e)))
Compiler

Compiled 574 to 408 computations (28.9% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 32 to 14 computations (56.3% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite70.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

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

simplify74.0ms (1%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
01261526
13861447
212311385
358061363
Stop Event
node limit
Counts
164 → 155
Calls
Call 1
Inputs
(*.f64 (sin.f64 v) e)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (/.f64 (*.f64 v e) (+.f64 1 e)))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))))))
(+.f64 (*.f64 (pow.f64 v 3) (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))) (+.f64 (/.f64 (*.f64 v e) (+.f64 1 e)) (+.f64 (*.f64 (pow.f64 v 7) (-.f64 (*.f64 -1/5040 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e))))) e) (+.f64 1 e))) (*.f64 -1/720 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))))))) (*.f64 (pow.f64 v 5) (-.f64 (*.f64 1/120 (/.f64 e (+.f64 1 e))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2))) (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (/.f64 e (+.f64 1 e))) (*.f64 -1/2 (/.f64 (pow.f64 e 2) (pow.f64 (+.f64 1 e) 2)))) e) (+.f64 1 e)))))))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 (*.f64 (cos.f64 v) e)))
(/.f64 (+.f64 1 e) v)
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v)))
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (*.f64 (pow.f64 v 3) (-.f64 (*.f64 1/24 e) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e)))) (*.f64 1/120 (+.f64 1 e))))))))
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (+.f64 (/.f64 1 v) (+.f64 (*.f64 (pow.f64 v 5) (-.f64 (*.f64 -1/720 e) (+.f64 (*.f64 -1/5040 (+.f64 1 e)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/24 e) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e)))) (*.f64 1/120 (+.f64 1 e))))) (*.f64 1/120 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e)))))))) (*.f64 (pow.f64 v 3) (-.f64 (*.f64 1/24 e) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e)))) (*.f64 1/120 (+.f64 1 e)))))))))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 1 (sin.f64 v))
(+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (/.f64 1 (sin.f64 v)))
(+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (/.f64 1 (sin.f64 v)))
(+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (/.f64 1 (sin.f64 v)))
(/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
Outputs
(*.f64 (sin.f64 v) e)
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) e))
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (*.f64 (sin.f64 v) e))
(-.f64 (*.f64 (sin.f64 v) e) (*.f64 (*.f64 (sin.f64 v) (*.f64 e e)) (cos.f64 v)))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 e (*.f64 e (cos.f64 v)))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(fma.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (*.f64 (sin.f64 v) (neg.f64 (*.f64 e (*.f64 e (cos.f64 v))))))
(*.f64 (sin.f64 v) (-.f64 (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e) (*.f64 e (*.f64 e (cos.f64 v)))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))) (+.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (cos.f64 v) (*.f64 e e))) (fma.f64 -1 (*.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4))) (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))))
(+.f64 (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (*.f64 (neg.f64 (sin.f64 v)) (+.f64 (*.f64 e (*.f64 e (cos.f64 v))) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))))
(-.f64 (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3) e)) (*.f64 (sin.f64 v) (fma.f64 e (*.f64 e (cos.f64 v)) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 4)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(-.f64 (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 3)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 4) (pow.f64 e 3)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4))) (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) (-.f64 (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 3)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (-.f64 (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 3)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (*.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 4)))))
(/.f64 (sin.f64 v) (cos.f64 v))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)))
(+.f64 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 3) (pow.f64 e 2))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) e))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2))) (/.f64 (sin.f64 v) (cos.f64 v))) (/.f64 (sin.f64 v) (*.f64 (*.f64 e e) (pow.f64 (cos.f64 v) 3))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (*.f64 e (*.f64 e (pow.f64 (cos.f64 v) 3)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) 2)))))
(-.f64 (/.f64 (/.f64 (sin.f64 v) (*.f64 e e)) (pow.f64 (cos.f64 v) 3)) (-.f64 (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) 2)) (/.f64 (sin.f64 v) (cos.f64 v))))
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(fma.f64 (-.f64 (*.f64 e -1/2) (+.f64 -1/6 (*.f64 -1/6 e))) v (+.f64 (+.f64 (/.f64 e v) (/.f64 1 v)) (fma.f64 (pow.f64 v 5) (-.f64 (*.f64 e -1/720) (fma.f64 -1/5040 (+.f64 e 1) (fma.f64 -1/6 (-.f64 (*.f64 e 1/24) (fma.f64 -1/6 (-.f64 (*.f64 e -1/2) (+.f64 -1/6 (*.f64 -1/6 e))) (+.f64 1/120 (*.f64 e 1/120)))) (*.f64 1/120 (-.f64 (*.f64 e -1/2) (+.f64 -1/6 (*.f64 -1/6 e))))))) (*.f64 (pow.f64 v 3) (-.f64 (*.f64 e 1/24) (fma.f64 -1/6 (-.f64 (*.f64 e -1/2) (+.f64 -1/6 (*.f64 -1/6 e))) (+.f64 1/120 (*.f64 e 1/120))))))))
(+.f64 (+.f64 (/.f64 1 v) (fma.f64 v (fma.f64 e -1/2 (+.f64 1/6 (*.f64 e 1/6))) (/.f64 e v))) (fma.f64 (pow.f64 v 5) (-.f64 (*.f64 e -1/720) (fma.f64 (+.f64 e 1) -1/5040 (fma.f64 -1/6 (-.f64 (*.f64 e 1/24) (fma.f64 (+.f64 e 1) 1/120 (*.f64 -1/6 (fma.f64 e -1/2 (+.f64 1/6 (*.f64 e 1/6)))))) (*.f64 1/120 (fma.f64 e -1/2 (+.f64 1/6 (*.f64 e 1/6))))))) (*.f64 (pow.f64 v 3) (-.f64 (*.f64 e 1/24) (fma.f64 (+.f64 e 1) 1/120 (*.f64 -1/6 (fma.f64 e -1/2 (+.f64 1/6 (*.f64 e 1/6)))))))))
(+.f64 (fma.f64 (pow.f64 v 3) (-.f64 (*.f64 e 1/24) (fma.f64 -1/6 (fma.f64 e -1/2 (fma.f64 e 1/6 1/6)) (fma.f64 e 1/120 1/120))) (fma.f64 (pow.f64 v 5) (-.f64 (*.f64 e -1/720) (fma.f64 -1/6 (-.f64 (*.f64 e 1/24) (fma.f64 -1/6 (fma.f64 e -1/2 (fma.f64 e 1/6 1/6)) (fma.f64 e 1/120 1/120))) (fma.f64 1/120 (fma.f64 e -1/2 (fma.f64 e 1/6 1/6)) (fma.f64 e -1/5040 -1/5040)))) (/.f64 1 v))) (fma.f64 v (fma.f64 e -1/2 (fma.f64 e 1/6 1/6)) (/.f64 e v)))
(+.f64 (fma.f64 (pow.f64 v 3) (fma.f64 e 1/24 (fma.f64 (fma.f64 e -1/2 (fma.f64 e 1/6 1/6)) 1/6 (+.f64 -1/120 (*.f64 -1/120 e)))) (fma.f64 (pow.f64 v 5) (-.f64 (*.f64 e -1/720) (fma.f64 -1/6 (fma.f64 e 1/24 (fma.f64 (fma.f64 e -1/2 (fma.f64 e 1/6 1/6)) 1/6 (+.f64 -1/120 (*.f64 -1/120 e)))) (fma.f64 1/120 (fma.f64 e -1/2 (fma.f64 e 1/6 1/6)) (fma.f64 e -1/5040 -1/5040)))) (/.f64 1 v))) (fma.f64 v (fma.f64 e -1/2 (fma.f64 e 1/6 1/6)) (/.f64 e v)))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 (cos.f64 v) e)) (sin.f64 v))
(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
(/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v))
(/.f64 1 (sin.f64 v))
(+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (/.f64 1 (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 1 (sin.f64 v)))
(+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (/.f64 1 (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 1 (sin.f64 v)))
(+.f64 (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) (/.f64 1 (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 1 (sin.f64 v)))
(/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))
(/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))
(*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e)
(/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 1 (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 1 (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 1 (sin.f64 v)))
(/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v))
(/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e))
(*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e)
(/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 1 (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 1 (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)))
(+.f64 (/.f64 1 (sin.f64 v)) (/.f64 (cos.f64 v) (/.f64 (sin.f64 v) e)))
(+.f64 (/.f64 1 (sin.f64 v)) (*.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e))
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 1 (sin.f64 v)))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 4 computations (66.7% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite67.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11167
217897
Stop Event
node limit
Counts
1 → 36
Calls
Call 1
Inputs
(-.f64 v (/.f64 v e))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 v (/.f64 (neg.f64 v) e))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 v (*.f64 (/.f64 (neg.f64 v) e) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 v (/.f64 v e)) (fma.f64 (neg.f64 (/.f64 1 e)) v (/.f64 v e)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 v (/.f64 v e)) (fma.f64 (/.f64 (neg.f64 v) e) 1 (/.f64 v e)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 v (/.f64 v e)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 v e))) (pow.f64 (cbrt.f64 (/.f64 v e)) 2) (/.f64 v e)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 v (/.f64 v e)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 v e))) (sqrt.f64 (/.f64 v e)) (/.f64 v e)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 v) e) v)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 v (/.f64 v e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 v (/.f64 v e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 v (/.f64 v e))) (pow.f64 (cbrt.f64 (-.f64 v (/.f64 v e))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 v (/.f64 v e))) 2) (cbrt.f64 (-.f64 v (/.f64 v e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 v (/.f64 v e))) (sqrt.f64 (-.f64 v (/.f64 v e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 v 3) (pow.f64 (/.f64 v e) 3)) (/.f64 1 (fma.f64 v v (*.f64 (/.f64 v e) (+.f64 v (/.f64 v e))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 v v) (pow.f64 (/.f64 v e) 2)) (/.f64 1 (+.f64 v (/.f64 v e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 v) (sqrt.f64 (/.f64 v e))) (-.f64 (sqrt.f64 v) (sqrt.f64 (/.f64 v e))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 v v (*.f64 (/.f64 v e) (+.f64 v (/.f64 v e)))) (-.f64 (pow.f64 v 3) (pow.f64 (/.f64 v e) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 v (/.f64 v e)) (-.f64 (*.f64 v v) (pow.f64 (/.f64 v e) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 v 3) (pow.f64 (/.f64 v e) 3)) (fma.f64 v v (*.f64 (/.f64 v e) (+.f64 v (/.f64 v e)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 v v) (pow.f64 (/.f64 v e) 2)) (+.f64 v (/.f64 v e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 v 3) (pow.f64 (/.f64 v e) 3))) (neg.f64 (fma.f64 v v (*.f64 (/.f64 v e) (+.f64 v (/.f64 v e))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 v v) (pow.f64 (/.f64 v e) 2))) (neg.f64 (+.f64 v (/.f64 v e))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 v 3) (pow.f64 (/.f64 (neg.f64 v) e) 3)) (+.f64 (*.f64 v v) (-.f64 (*.f64 (/.f64 (neg.f64 v) e) (/.f64 (neg.f64 v) e)) (*.f64 v (/.f64 (neg.f64 v) e)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 v v) (*.f64 (/.f64 (neg.f64 v) e) (/.f64 (neg.f64 v) e))) (-.f64 v (/.f64 (neg.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 v (/.f64 v e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 v (/.f64 v e)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 v (/.f64 v e))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 v (/.f64 v e))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 v (/.f64 v e)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 v (/.f64 v e))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 v (/.f64 v e)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 v (/.f64 v e))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 v (/.f64 v e))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 v (/.f64 v e))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 v (/.f64 (neg.f64 v) e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 v) 2) (cbrt.f64 v) (/.f64 (neg.f64 v) e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 v) (sqrt.f64 v) (/.f64 (neg.f64 v) e))))))

simplify40.0ms (0.5%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
014218
130218
271155
3136155
4244155
5473155
6697155
7701155
Stop Event
saturated
Counts
60 → 43
Calls
Call 1
Inputs
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 -1 (*.f64 v (-.f64 (/.f64 1 e) 1)))
(*.f64 -1 (*.f64 v (-.f64 (/.f64 1 e) 1)))
(*.f64 -1 (*.f64 v (-.f64 (/.f64 1 e) 1)))
(*.f64 -1 (*.f64 v (-.f64 (/.f64 1 e) 1)))
(*.f64 -1 (/.f64 v e))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (*.f64 -1 (/.f64 v e)))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (*.f64 -1 (/.f64 v e)))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (*.f64 -1 (/.f64 v e)))
Outputs
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(*.f64 -1 (*.f64 v (-.f64 (/.f64 1 e) 1)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(*.f64 -1 (*.f64 v (-.f64 (/.f64 1 e) 1)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(*.f64 -1 (*.f64 v (-.f64 (/.f64 1 e) 1)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(*.f64 -1 (*.f64 v (-.f64 (/.f64 1 e) 1)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(*.f64 -1 (/.f64 v e))
(neg.f64 (/.f64 v e))
(/.f64 (neg.f64 v) e)
(+.f64 v (*.f64 -1 (/.f64 v e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (/.f64 v e))

localize36.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 v (+.f64 e 1))
0.0b
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
1.5b
(-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1)
Compiler

Compiled 40 to 28 computations (30% saved)

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite100.0ms (1.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0929
120917
2318617
Stop Event
node limit
Counts
2 → 151
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1)
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
Outputs
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#<rule egg-rr> (2) ((x *.f64 v (/.f64 1 (+.f64 1 e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 v (+.f64 1 e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 v (+.f64 1 e))) (pow.f64 (cbrt.f64 (/.f64 v (+.f64 1 e))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 v (+.f64 1 e))) 2) (cbrt.f64 (/.f64 v (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 v) 2) (*.f64 (cbrt.f64 v) (/.f64 1 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 v (+.f64 1 e))) (sqrt.f64 (/.f64 v (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 v) (*.f64 (sqrt.f64 v) (/.f64 1 (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 v) (/.f64 1 (+.f64 -1 (neg.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 v (+.f64 1 e))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 v (+.f64 1 e))) 2) (+.f64 (/.f64 v 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 e (*.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) e))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 e (*.f64 e (+.f64 (/.f64 v (+.f64 1 e)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 e (/.f64 v (+.f64 1 e))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 v (+.f64 1 e))) e) (*.f64 -1 e))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 e (+.f64 1 (/.f64 v (+.f64 1 e)))) (*.f64 e -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 v (+.f64 1 e))) e)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 v (+.f64 1 e))) e))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 v (+.f64 1 e))) e))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 v (+.f64 1 e))) e))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 e (/.f64 v (+.f64 1 e))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 v (+.f64 1 e))))) e) (+.f64 (pow.f64 (+.f64 1 (/.f64 v (+.f64 1 e))) 2) (+.f64 (/.f64 v (+.f64 1 e)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 v (+.f64 1 e))))) e) (+.f64 (/.f64 v (+.f64 1 e)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 v (+.f64 1 e)))))) (+.f64 (pow.f64 (+.f64 1 (/.f64 v (+.f64 1 e))) 2) (+.f64 (/.f64 v (+.f64 1 e)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 e (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 v (+.f64 1 e)))))) (+.f64 (/.f64 v (+.f64 1 e)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 e (/.f64 v (+.f64 1 e))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 e (/.f64 v (+.f64 1 e))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 e (/.f64 v (+.f64 1 e))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 e (/.f64 v (+.f64 1 e)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 e (/.f64 v (+.f64 1 e)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 e 3) (pow.f64 (/.f64 v (+.f64 1 e)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 v (+.f64 1 e)) 3) (pow.f64 e 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 e (/.f64 v (+.f64 1 e))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 v (+.f64 1 e))) e))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 e (/.f64 v (+.f64 1 e))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 e (/.f64 v (+.f64 1 e))) 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 e (/.f64 v (+.f64 1 e)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 e (/.f64 v (+.f64 1 e)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 e (/.f64 v (+.f64 1 e)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 e (/.f64 v (+.f64 1 e)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 e (*.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 e (*.f64 e (+.f64 (/.f64 v (+.f64 1 e)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 e 1 (*.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 e 1 (*.f64 e (+.f64 (/.f64 v (+.f64 1 e)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 e (+.f64 1 (/.f64 v (+.f64 1 e))) (*.f64 e -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 v (+.f64 1 e))) e (*.f64 -1 e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 e) (pow.f64 (cbrt.f64 e) 2) (*.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 e) (pow.f64 (cbrt.f64 e) 2) (*.f64 e (+.f64 (/.f64 v (+.f64 1 e)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 e) 2) (cbrt.f64 e) (*.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 e) 2) (cbrt.f64 e) (*.f64 e (+.f64 (/.f64 v (+.f64 1 e)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 e) 2) (*.f64 (cbrt.f64 e) 1) (*.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 e) 2) (*.f64 (cbrt.f64 e) 1) (*.f64 e (+.f64 (/.f64 v (+.f64 1 e)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 e) (sqrt.f64 e) (*.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 e) (sqrt.f64 e) (*.f64 e (+.f64 (/.f64 v (+.f64 1 e)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) 1) (*.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) 1) (*.f64 e (+.f64 (/.f64 v (+.f64 1 e)) -1)))))))

simplify72.0ms (0.9%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
054582
1156556
2430539
31541496
45607496
Stop Event
node limit
Counts
199 → 180
Calls
Call 1
Inputs
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
v
(+.f64 v (*.f64 -1 (*.f64 v e)))
(+.f64 v (+.f64 (*.f64 -1 (*.f64 v e)) (*.f64 v (pow.f64 e 2))))
(+.f64 v (+.f64 (*.f64 -1 (*.f64 v e)) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 3))) (*.f64 v (pow.f64 e 2)))))
(/.f64 v e)
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3))))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3)))))
(/.f64 v e)
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3))))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3)))))
(*.f64 v e)
(+.f64 (*.f64 v e) (*.f64 -1 (*.f64 v (pow.f64 e 2))))
(+.f64 (*.f64 v e) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 2))) (*.f64 v (pow.f64 e 3))))
(+.f64 (*.f64 v e) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 2))) (+.f64 (*.f64 v (pow.f64 e 3)) (*.f64 -1 (*.f64 v (pow.f64 e 4))))))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
Outputs
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
(/.f64 v (+.f64 1 e))
v
(+.f64 v (*.f64 -1 (*.f64 v e)))
(+.f64 v (neg.f64 (*.f64 v e)))
(-.f64 v (*.f64 v e))
(+.f64 v (+.f64 (*.f64 -1 (*.f64 v e)) (*.f64 v (pow.f64 e 2))))
(+.f64 v (fma.f64 -1 (*.f64 v e) (*.f64 v (*.f64 e e))))
(+.f64 (-.f64 v (*.f64 v e)) (*.f64 v (*.f64 e e)))
(+.f64 v (*.f64 v (-.f64 (*.f64 e e) e)))
(+.f64 v (+.f64 (*.f64 -1 (*.f64 v e)) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 3))) (*.f64 v (pow.f64 e 2)))))
(+.f64 v (fma.f64 -1 (*.f64 v e) (fma.f64 -1 (*.f64 v (pow.f64 e 3)) (*.f64 v (*.f64 e e)))))
(+.f64 v (+.f64 (*.f64 v (*.f64 e e)) (*.f64 (neg.f64 v) (+.f64 e (pow.f64 e 3)))))
(-.f64 v (fma.f64 v e (*.f64 v (-.f64 (pow.f64 e 3) (*.f64 e e)))))
(*.f64 (+.f64 1 (*.f64 e e)) (-.f64 v (*.f64 v e)))
(/.f64 v e)
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e))
(fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e))
(-.f64 (/.f64 v e) (/.f64 (/.f64 v e) e))
(-.f64 (/.f64 v e) (/.f64 v (*.f64 e e)))
(/.f64 (-.f64 v (/.f64 v e)) e)
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3))))
(+.f64 (fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e)) (/.f64 v (pow.f64 e 3)))
(+.f64 (-.f64 (/.f64 v e) (/.f64 (/.f64 v e) e)) (/.f64 v (pow.f64 e 3)))
(+.f64 (/.f64 v e) (-.f64 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e))))
(+.f64 (/.f64 (-.f64 v (/.f64 v e)) e) (/.f64 v (pow.f64 e 3)))
(+.f64 (/.f64 v e) (/.f64 (/.f64 (-.f64 (/.f64 v e) v) e) e))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3)))))
(+.f64 (fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e)) (fma.f64 -1 (/.f64 v (pow.f64 e 4)) (/.f64 v (pow.f64 e 3))))
(+.f64 (-.f64 (/.f64 v e) (/.f64 (/.f64 v e) e)) (-.f64 (/.f64 v (pow.f64 e 3)) (/.f64 v (pow.f64 e 4))))
(+.f64 (-.f64 (/.f64 v e) (/.f64 v (*.f64 e e))) (-.f64 (/.f64 v (pow.f64 e 3)) (/.f64 v (pow.f64 e 4))))
(+.f64 (/.f64 (-.f64 v (/.f64 v e)) e) (*.f64 (+.f64 1 (/.f64 -1 e)) (/.f64 v (pow.f64 e 3))))
(/.f64 v e)
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (/.f64 v e))
(fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e))
(-.f64 (/.f64 v e) (/.f64 (/.f64 v e) e))
(-.f64 (/.f64 v e) (/.f64 v (*.f64 e e)))
(/.f64 (-.f64 v (/.f64 v e)) e)
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (/.f64 v (pow.f64 e 3))))
(+.f64 (fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e)) (/.f64 v (pow.f64 e 3)))
(+.f64 (-.f64 (/.f64 v e) (/.f64 (/.f64 v e) e)) (/.f64 v (pow.f64 e 3)))
(+.f64 (/.f64 v e) (-.f64 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e))))
(+.f64 (/.f64 (-.f64 v (/.f64 v e)) e) (/.f64 v (pow.f64 e 3)))
(+.f64 (/.f64 v e) (/.f64 (/.f64 (-.f64 (/.f64 v e) v) e) e))
(+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 2))) (+.f64 (/.f64 v e) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 4))) (/.f64 v (pow.f64 e 3)))))
(+.f64 (fma.f64 -1 (/.f64 v (*.f64 e e)) (/.f64 v e)) (fma.f64 -1 (/.f64 v (pow.f64 e 4)) (/.f64 v (pow.f64 e 3))))
(+.f64 (-.f64 (/.f64 v e) (/.f64 (/.f64 v e) e)) (-.f64 (/.f64 v (pow.f64 e 3)) (/.f64 v (pow.f64 e 4))))
(+.f64 (-.f64 (/.f64 v e) (/.f64 v (*.f64 e e))) (-.f64 (/.f64 v (pow.f64 e 3)) (/.f64 v (pow.f64 e 4))))
(+.f64 (/.f64 (-.f64 v (/.f64 v e)) e) (*.f64 (+.f64 1 (/.f64 -1 e)) (/.f64 v (pow.f64 e 3))))
(*.f64 v e)
(+.f64 (*.f64 v e) (*.f64 -1 (*.f64 v (pow.f64 e 2))))
(fma.f64 v e (neg.f64 (*.f64 v (*.f64 e e))))
(fma.f64 (neg.f64 v) (*.f64 e e) (*.f64 v e))
(*.f64 e (-.f64 v (*.f64 v e)))
(*.f64 v (*.f64 (-.f64 1 e) e))
(+.f64 (*.f64 v e) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 2))) (*.f64 v (pow.f64 e 3))))
(fma.f64 v e (fma.f64 -1 (*.f64 v (*.f64 e e)) (*.f64 v (pow.f64 e 3))))
(fma.f64 v e (-.f64 (*.f64 v (pow.f64 e 3)) (*.f64 v (*.f64 e e))))
(fma.f64 v e (*.f64 v (-.f64 (pow.f64 e 3) (*.f64 e e))))
(*.f64 v (-.f64 (pow.f64 e 3) (-.f64 (*.f64 e e) e)))
(*.f64 v (+.f64 (pow.f64 e 3) (*.f64 (-.f64 1 e) e)))
(+.f64 (*.f64 v e) (+.f64 (*.f64 -1 (*.f64 v (pow.f64 e 2))) (+.f64 (*.f64 v (pow.f64 e 3)) (*.f64 -1 (*.f64 v (pow.f64 e 4))))))
(fma.f64 v e (fma.f64 -1 (*.f64 v (*.f64 e e)) (fma.f64 v (pow.f64 e 3) (neg.f64 (*.f64 v (pow.f64 e 4))))))
(fma.f64 v e (-.f64 (-.f64 (*.f64 v (pow.f64 e 3)) (*.f64 v (*.f64 e e))) (*.f64 v (pow.f64 e 4))))
(+.f64 (*.f64 e (-.f64 v (*.f64 v e))) (*.f64 v (-.f64 (pow.f64 e 3) (pow.f64 e 4))))
(*.f64 (-.f64 e (*.f64 e e)) (fma.f64 e (*.f64 v e) v))
(*.f64 (*.f64 (-.f64 1 e) e) (fma.f64 e (*.f64 v e) v))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (neg.f64 (/.f64 v e)))
(-.f64 v (/.f64 v e))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (/.f64 v (*.f64 e e))))
(+.f64 (/.f64 (/.f64 v e) e) (-.f64 v (/.f64 v e)))
(+.f64 v (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e)))
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e))
(+.f64 v (/.f64 (-.f64 (/.f64 v e) v) e))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (fma.f64 -1 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e)))))
(+.f64 (-.f64 v (/.f64 v e)) (-.f64 (/.f64 (/.f64 v e) e) (/.f64 v (pow.f64 e 3))))
(+.f64 v (-.f64 (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e)) (/.f64 v (pow.f64 e 3))))
(+.f64 (-.f64 v (/.f64 v e)) (/.f64 (/.f64 (-.f64 v (/.f64 v e)) e) e))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (neg.f64 (/.f64 v e)))
(-.f64 v (/.f64 v e))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (/.f64 v (*.f64 e e))))
(+.f64 (/.f64 (/.f64 v e) e) (-.f64 v (/.f64 v e)))
(+.f64 v (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e)))
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e))
(+.f64 v (/.f64 (-.f64 (/.f64 v e) v) e))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (+.f64 (*.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
(+.f64 v (fma.f64 -1 (/.f64 v e) (fma.f64 -1 (/.f64 v (pow.f64 e 3)) (/.f64 v (*.f64 e e)))))
(+.f64 (-.f64 v (/.f64 v e)) (-.f64 (/.f64 (/.f64 v e) e) (/.f64 v (pow.f64 e 3))))
(+.f64 v (-.f64 (-.f64 (/.f64 v (*.f64 e e)) (/.f64 v e)) (/.f64 v (pow.f64 e 3))))
(+.f64 (-.f64 v (/.f64 v e)) (/.f64 (/.f64 (-.f64 v (/.f64 v e)) e) e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 1 e) e))
(/.f64 e (/.f64 (+.f64 1 e) v))
(*.f64 v (/.f64 e (+.f64 1 e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 1 e) e))
(/.f64 e (/.f64 (+.f64 1 e) v))
(*.f64 v (/.f64 e (+.f64 1 e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 1 e) e))
(/.f64 e (/.f64 (+.f64 1 e) v))
(*.f64 v (/.f64 e (+.f64 1 e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 1 e) e))
(/.f64 e (/.f64 (+.f64 1 e) v))
(*.f64 v (/.f64 e (+.f64 1 e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 1 e) e))
(/.f64 e (/.f64 (+.f64 1 e) v))
(*.f64 v (/.f64 e (+.f64 1 e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 1 e) e))
(/.f64 e (/.f64 (+.f64 1 e) v))
(*.f64 v (/.f64 e (+.f64 1 e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 1 e) e))
(/.f64 e (/.f64 (+.f64 1 e) v))
(*.f64 v (/.f64 e (+.f64 1 e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 1 e) e))
(/.f64 e (/.f64 (+.f64 1 e) v))
(*.f64 v (/.f64 e (+.f64 1 e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 1 e) e))
(/.f64 e (/.f64 (+.f64 1 e) v))
(*.f64 v (/.f64 e (+.f64 1 e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 1 e) e))
(/.f64 e (/.f64 (+.f64 1 e) v))
(*.f64 v (/.f64 e (+.f64 1 e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 1 e) e))
(/.f64 e (/.f64 (+.f64 1 e) v))
(*.f64 v (/.f64 e (+.f64 1 e)))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 v (/.f64 (+.f64 1 e) e))
(/.f64 e (/.f64 (+.f64 1 e) v))
(*.f64 v (/.f64 e (+.f64 1 e)))

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (sin.f64 v) e)
1.7b
(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)
Compiler

Compiled 25 to 11 computations (56% saved)

series3.0ms (0%)

Counts
2 → 28
Calls

12 calls:

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

rewrite62.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0824
117312
2237512
Stop Event
node limit
Counts
2 → 79
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)
(*.f64 (sin.f64 v) e)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (sin.f64 v) e -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 (sin.f64 v) e -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 v) e) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 v) e 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 (sin.f64 v) e 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 v) e -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 v) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) e)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) e) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 e) 2) (*.f64 (cbrt.f64 e) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2) (cbrt.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) (sqrt.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 v)) (*.f64 (sqrt.f64 (sin.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (+.f64 (*.f64 (sin.f64 v) e) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) -1) (/.f64 1 (+.f64 (*.f64 (sin.f64 v) e) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 (sin.f64 v) e 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (sin.f64 v) e 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) (pow.f64 (cbrt.f64 e) 2)) (cbrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 2)) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (+.f64 (*.f64 (sin.f64 v) e) 2)) (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (sin.f64 v) e) 2) (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (+.f64 (*.f64 (sin.f64 v) e) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (-.f64 1 (*.f64 (fma.f64 (sin.f64 v) e 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) -1) (+.f64 (*.f64 (sin.f64 v) e) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) -1) (-.f64 (fma.f64 (sin.f64 v) e 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (+.f64 (*.f64 (sin.f64 v) e) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) -1)) (neg.f64 (+.f64 (*.f64 (sin.f64 v) e) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 (sin.f64 v) e -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 (sin.f64 v) e -1) (fma.f64 (sin.f64 v) e -1)) (fma.f64 (sin.f64 v) e -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 (sin.f64 v) e -1) (fma.f64 (sin.f64 v) e -1))) (-.f64 1 (fma.f64 (sin.f64 v) e -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 v) e) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 e) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (sin.f64 v) e 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 v) e 1)) 2) (cbrt.f64 (fma.f64 (sin.f64 v) e 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (sin.f64 v) e 1)) (sqrt.f64 (fma.f64 (sin.f64 v) e 1)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (sin.f64 v) e -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 (sin.f64 v) e -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 v) e) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 v) e 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 (sin.f64 v) e 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 v) e -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (sin.f64 v) e 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 3) (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (+.f64 (*.f64 (sin.f64 v) e) 2))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (+.f64 (*.f64 (sin.f64 v) e) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (+.f64 (*.f64 (sin.f64 v) e) 2)) (/.f64 1 (+.f64 (*.f64 (sin.f64 v) e) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (+.f64 (*.f64 (sin.f64 v) e) 2)) (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (sin.f64 v) e) 2) (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (+.f64 (*.f64 (sin.f64 v) e) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (-.f64 1 (*.f64 (fma.f64 (sin.f64 v) e 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) -1) (+.f64 (*.f64 (sin.f64 v) e) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) -1) (-.f64 (fma.f64 (sin.f64 v) e 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) (+.f64 (*.f64 (sin.f64 v) e) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 v) e 1) 2) -1)) (neg.f64 (+.f64 (*.f64 (sin.f64 v) e) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 (sin.f64 v) e -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 (sin.f64 v) e -1) (fma.f64 (sin.f64 v) e -1)) (fma.f64 (sin.f64 v) e -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 (sin.f64 v) e -1) (fma.f64 (sin.f64 v) e -1))) (-.f64 1 (fma.f64 (sin.f64 v) e -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 v) e) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 e) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (sin.f64 v) e 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 v) e 1)) 2) (cbrt.f64 (fma.f64 (sin.f64 v) e 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (sin.f64 v) e 1)) (sqrt.f64 (fma.f64 (sin.f64 v) e 1)) -1)))))

simplify125.0ms (1.6%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
027272
173266
2194244
3588240
41572236
52429236
62636236
73084236
83963236
94106236
104333236
114815236
125411236
136284236
147393236
Stop Event
node limit
Counts
107 → 57
Calls
Call 1
Inputs
(*.f64 v e)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (*.f64 v e))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (+.f64 (*.f64 v e) (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 v e)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (*.f64 v e))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (+.f64 (*.f64 v e) (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
Outputs
(*.f64 v e)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (*.f64 v e))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (*.f64 v e))
(*.f64 e (+.f64 v (*.f64 -1/6 (pow.f64 v 3))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (*.f64 v e)))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (*.f64 e (+.f64 (*.f64 1/120 (pow.f64 v 5)) v)))
(*.f64 e (+.f64 (*.f64 -1/6 (pow.f64 v 3)) (fma.f64 1/120 (pow.f64 v 5) v)))
(*.f64 e (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/6 (pow.f64 v 3) v)))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) v)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (+.f64 (*.f64 v e) (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (fma.f64 v e (*.f64 -1/5040 (*.f64 e (pow.f64 v 7))))))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (*.f64 e (+.f64 (*.f64 -1/5040 (pow.f64 v 7)) v))))
(*.f64 e (+.f64 (fma.f64 -1/5040 (pow.f64 v 7) v) (fma.f64 -1/6 (pow.f64 v 3) (*.f64 1/120 (pow.f64 v 5)))))
(*.f64 e (+.f64 (fma.f64 1/120 (pow.f64 v 5) v) (fma.f64 -1/5040 (pow.f64 v 7) (*.f64 -1/6 (pow.f64 v 3)))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 -1/5040 (pow.f64 v 7) (fma.f64 1/120 (pow.f64 v 5) v))))
(*.f64 e (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) (fma.f64 -1/6 (pow.f64 v 3) v))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) v))))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 v e)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (*.f64 v e))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (*.f64 v e))
(*.f64 e (+.f64 v (*.f64 -1/6 (pow.f64 v 3))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) v))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (*.f64 v e)))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (*.f64 e (+.f64 (*.f64 1/120 (pow.f64 v 5)) v)))
(*.f64 e (+.f64 (*.f64 -1/6 (pow.f64 v 3)) (fma.f64 1/120 (pow.f64 v 5) v)))
(*.f64 e (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/6 (pow.f64 v 3) v)))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) v)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 v 3) e)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 v 5) e)) (+.f64 (*.f64 v e) (*.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (fma.f64 v e (*.f64 -1/5040 (*.f64 e (pow.f64 v 7))))))
(fma.f64 -1/6 (*.f64 e (pow.f64 v 3)) (fma.f64 1/120 (*.f64 e (pow.f64 v 5)) (*.f64 e (+.f64 (*.f64 -1/5040 (pow.f64 v 7)) v))))
(*.f64 e (+.f64 (fma.f64 -1/5040 (pow.f64 v 7) v) (fma.f64 -1/6 (pow.f64 v 3) (*.f64 1/120 (pow.f64 v 5)))))
(*.f64 e (+.f64 (fma.f64 1/120 (pow.f64 v 5) v) (fma.f64 -1/5040 (pow.f64 v 7) (*.f64 -1/6 (pow.f64 v 3)))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 -1/5040 (pow.f64 v 7) (fma.f64 1/120 (pow.f64 v 5) v))))
(*.f64 e (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) (fma.f64 -1/6 (pow.f64 v 3) v))))
(*.f64 e (fma.f64 -1/6 (pow.f64 v 3) (fma.f64 1/120 (pow.f64 v 5) (fma.f64 -1/5040 (pow.f64 v 7) v))))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (sin.f64 v) e)
0.6b
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)
12.4b
(cbrt.f64 (*.f64 (sin.f64 v) e))
Compiler

Compiled 23 to 8 computations (65.2% saved)

series11.0ms (0.1%)

Counts
2 → 16
Calls

12 calls:

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

rewrite56.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
638×pow1_binary64
596×add-log-exp_binary64
596×log1p-expm1-u_binary64
596×expm1-log1p-u_binary64
581×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
116614
2166914
Stop Event
node limit
Counts
2 → 52
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (sin.f64 v) e))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 (sin.f64 v) e))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 v)) (cbrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 e) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 v) e) 1/6) (pow.f64 (*.f64 (sin.f64 v) e) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 v) e) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 v) e)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 e (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) e) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 v) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2) (cbrt.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 v)) (*.f64 (cbrt.f64 e) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 e) 2) (*.f64 (cbrt.f64 e) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) (sqrt.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 v) e) 1/6) (*.f64 (pow.f64 (*.f64 (sin.f64 v) e) 1/6) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 v)) (*.f64 (sqrt.f64 (sin.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 e) (*.f64 (sqrt.f64 e) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))) 2) 3) (cbrt.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 v) e) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) (pow.f64 (cbrt.f64 e) 2)) (cbrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (pow.f64 (cbrt.f64 (sin.f64 v)) 2)) (cbrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2) 1) (cbrt.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 v) e))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2) (cbrt.f64 (sin.f64 v))) (cbrt.f64 e))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 2) (pow.f64 (*.f64 (sin.f64 v) e) 1/6)) (pow.f64 (*.f64 (sin.f64 v) e) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 v) e)))))))

simplify177.0ms (2.3%)

Algorithm
egg-herbie
Rules
1290×sqr-pow_binary64
666×pow-sqr_binary64
625×cube-prod_binary64
559×fabs-mul_binary64
373×unpow3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010136
126112
240112
351112
475112
5169112
6541112
71207112
81299112
91437112
101600112
111839112
122166112
132594112
143100112
153706112
164429112
174750112
185034112
195258112
205438112
215522112
226465112
237442112
247908112
Stop Event
node limit
Counts
68 → 54
Calls
Call 1
Inputs
(pow.f64 (*.f64 (sin.f64 v) e) 1/3)
(pow.f64 (*.f64 (sin.f64 v) e) 1/3)
(pow.f64 (*.f64 (sin.f64 v) e) 1/3)
(pow.f64 (*.f64 (sin.f64 v) e) 1/3)
(pow.f64 (*.f64 (sin.f64 v) e) 1/3)
(pow.f64 (*.f64 (sin.f64 v) e) 1/3)
(pow.f64 (*.f64 (sin.f64 v) e) 1/3)
(pow.f64 (*.f64 (sin.f64 v) e) 1/3)
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3))
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3))
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3))
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3))
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3))
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3))
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3))
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3))
Outputs
(pow.f64 (*.f64 (sin.f64 v) e) 1/3)
(cbrt.f64 (*.f64 (sin.f64 v) e))
(pow.f64 (*.f64 (sin.f64 v) e) 1/3)
(cbrt.f64 (*.f64 (sin.f64 v) e))
(pow.f64 (*.f64 (sin.f64 v) e) 1/3)
(cbrt.f64 (*.f64 (sin.f64 v) e))
(pow.f64 (*.f64 (sin.f64 v) e) 1/3)
(cbrt.f64 (*.f64 (sin.f64 v) e))
(pow.f64 (*.f64 (sin.f64 v) e) 1/3)
(cbrt.f64 (*.f64 (sin.f64 v) e))
(pow.f64 (*.f64 (sin.f64 v) e) 1/3)
(cbrt.f64 (*.f64 (sin.f64 v) e))
(pow.f64 (*.f64 (sin.f64 v) e) 1/3)
(cbrt.f64 (*.f64 (sin.f64 v) e))
(pow.f64 (*.f64 (sin.f64 v) e) 1/3)
(cbrt.f64 (*.f64 (sin.f64 v) e))
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) (*.f64 e 1))
(*.f64 (sin.f64 v) e)
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) (*.f64 e 1))
(*.f64 (sin.f64 v) e)
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) (*.f64 e 1))
(*.f64 (sin.f64 v) e)
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) (*.f64 e 1))
(*.f64 (sin.f64 v) e)
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) (*.f64 e 1))
(*.f64 (sin.f64 v) e)
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) (*.f64 e 1))
(*.f64 (sin.f64 v) e)
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) (*.f64 e 1))
(*.f64 (sin.f64 v) e)
(*.f64 (*.f64 (sin.f64 v) e) (pow.f64 1 1/3))
(*.f64 (sin.f64 v) (*.f64 e 1))
(*.f64 (sin.f64 v) e)

eval162.0ms (2.1%)

Compiler

Compiled 8598 to 4940 computations (42.5% saved)

prune101.0ms (1.3%)

Pruning

35 alts after pruning (27 fresh and 8 done)

PrunedKeptTotal
New52812540
Fresh61521
Picked011
Done178
Total53535570
Error
0b
Counts
570 → 35
Alt Table
Click to see full alt table
StatusErrorProgram
36.7b
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3))
48.4b
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
15.5b
(*.f64 e (log.f64 (exp.f64 (sin.f64 v))))
0.9b
(/.f64 e (/.f64 1 (sin.f64 v)))
62.7b
(-.f64 v (/.f64 v e))
0.5b
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
0.8b
(*.f64 (sin.f64 v) e)
1.8b
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)
62.7b
(/.f64 (neg.f64 v) e)
15.4b
(*.f64 e (-.f64 (+.f64 1 (sin.f64 v)) 1))
32.6b
(*.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v)))
1.6b
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) e))
47.9b
(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)
1.1b
(/.f64 1 (/.f64 (fma.f64 (cos.f64 v) e 1) (*.f64 e (sin.f64 v))))
61.3b
v
47.5b
(+.f64 e (*.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) e))
33.1b
(*.f64 v (-.f64 e (*.f64 e e)))
47.4b
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
62.7b
(*.f64 v (-.f64 1 (/.f64 1 e)))
0.8b
(*.f64 e (expm1.f64 (log1p.f64 (sin.f64 v))))
31.9b
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
0.1b
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
10.2b
(*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3)))
33.9b
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v)))
33.0b
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v)
61.5b
(/.f64 (-.f64 (*.f64 v v) (*.f64 (/.f64 (neg.f64 v) e) (/.f64 (neg.f64 v) e))) (-.f64 v (/.f64 (neg.f64 v) e)))
15.6b
(*.f64 e (log.f64 (log.f64 (exp.f64 (exp.f64 (sin.f64 v))))))
32.6b
(*.f64 e (pow.f64 (sqrt.f64 (sin.f64 v)) 2))
33.0b
(/.f64 e (/.f64 (+.f64 e 1) v))
1.1b
(*.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))
33.2b
(*.f64 v e)
0.5b
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
33.0b
(*.f64 e (/.f64 1 (/.f64 (+.f64 1 e) v)))
63.1b
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
34.1b
(/.f64 1 (/.f64 1 (*.f64 v e)))
Compiler

Compiled 367 to 252 computations (31.3% saved)

regimes140.0ms (1.8%)

Counts
69 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(/.f64 e (/.f64 (+.f64 e 1) v))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 e (/.f64 1 (/.f64 (+.f64 1 e) v)))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v)
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v)))
(+.f64 e (*.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) e))
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v)))
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
(/.f64 (-.f64 (*.f64 v v) (*.f64 (/.f64 (neg.f64 v) e) (/.f64 (neg.f64 v) e))) (-.f64 v (/.f64 (neg.f64 v) e)))
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 1 (sin.f64 v)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)
(*.f64 e (-.f64 (+.f64 1 (sin.f64 v)) 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 e (exp.f64 (log.f64 (sin.f64 v))))
(*.f64 e (expm1.f64 (log1p.f64 (sin.f64 v))))
(*.f64 e (log.f64 (exp.f64 (sin.f64 v))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 v) e) 3))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) e)) 2)
(*.f64 e (cbrt.f64 (pow.f64 (sin.f64 v) 3)))
(*.f64 e (pow.f64 (sqrt.f64 (sin.f64 v)) 2))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) e)) 3)
(*.f64 (*.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e 1) (sin.f64 v)))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) 1) (sin.f64 v)))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3)) (+.f64 1 e))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 v) e 1) (*.f64 e (sin.f64 v))))
(/.f64 1 (/.f64 (fma.f64 e (cos.f64 v) 1) (*.f64 e (sin.f64 v))))
(*.f64 e (-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1))
(*.f64 e (-.f64 (+.f64 1 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 1))
(*.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (cos.f64 v) (*.f64 e e))))) 3)
(/.f64 (pow.f64 (sqrt.f64 (*.f64 e (sin.f64 v))) 2) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 e (sin.f64 v))) 3) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 e (sin.f64 v)) 3)) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 e (log.f64 (log.f64 (exp.f64 (exp.f64 (sin.f64 v))))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) e))
(*.f64 e (expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)))))
(*.f64 e (expm1.f64 (log1p.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
(*.f64 e (log.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))
(*.f64 e (pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1))) 2))
(*.f64 e (cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e 1)) 3)))
(*.f64 e (cbrt.f64 (pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)) 3)))
(*.f64 e (pow.f64 (sqrt.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1))) 2))
(/.f64 (*.f64 (*.f64 e (sqrt.f64 (sin.f64 v))) (sqrt.f64 (sin.f64 v))) (+.f64 1 (*.f64 e (cos.f64 v))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 v)) 2) (*.f64 (cbrt.f64 (sin.f64 v)) e)) (+.f64 1 (*.f64 e (cos.f64 v))))
(*.f64 e (log.f64 (log.f64 (exp.f64 (exp.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) 1)))))))
Outputs
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
Calls

3 calls:

44.0ms
e
40.0ms
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
38.0ms
v
Results
ErrorSegmentsBranch
0.1b1e
0.1b1v
0.1b1(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 (*.f64 e (cos.f64 v))))
Compiler

Compiled 687 to 323 computations (53% saved)

regimes41.0ms (0.5%)

Counts
30 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(/.f64 e (/.f64 (+.f64 e 1) v))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 e (/.f64 1 (/.f64 (+.f64 1 e) v)))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v)
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v)))
(+.f64 e (*.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) e))
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v)))
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
(/.f64 (-.f64 (*.f64 v v) (*.f64 (/.f64 (neg.f64 v) e) (/.f64 (neg.f64 v) e))) (-.f64 v (/.f64 (neg.f64 v) e)))
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 1 (sin.f64 v)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)
(*.f64 e (-.f64 (+.f64 1 (sin.f64 v)) 1))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
Outputs
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
Calls

2 calls:

17.0ms
v
16.0ms
e
Results
ErrorSegmentsBranch
0.5b1e
0.5b1v
Compiler

Compiled 246 to 127 computations (48.4% saved)

regimes38.0ms (0.5%)

Counts
28 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(/.f64 e (/.f64 (+.f64 e 1) v))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 e (/.f64 1 (/.f64 (+.f64 1 e) v)))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v)
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v)))
(+.f64 e (*.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) e))
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v)))
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
(/.f64 (-.f64 (*.f64 v v) (*.f64 (/.f64 (neg.f64 v) e) (/.f64 (neg.f64 v) e))) (-.f64 v (/.f64 (neg.f64 v) e)))
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) e)
(/.f64 e (/.f64 1 (sin.f64 v)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 v) e)) 1)
(*.f64 e (-.f64 (+.f64 1 (sin.f64 v)) 1))
Outputs
(*.f64 (sin.f64 v) e)
Calls

2 calls:

17.0ms
v
14.0ms
e
Results
ErrorSegmentsBranch
0.8b1e
0.8b1v
Compiler

Compiled 230 to 119 computations (48.3% saved)

regimes34.0ms (0.4%)

Counts
22 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(/.f64 e (/.f64 (+.f64 e 1) v))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 e (/.f64 1 (/.f64 (+.f64 1 e) v)))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v)
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v)))
(+.f64 e (*.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) e))
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v)))
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
(/.f64 (-.f64 (*.f64 v v) (*.f64 (/.f64 (neg.f64 v) e) (/.f64 (neg.f64 v) e))) (-.f64 v (/.f64 (neg.f64 v) e)))
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
Outputs
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
Calls

2 calls:

16.0ms
v
13.0ms
e
Results
ErrorSegmentsBranch
31.9b1e
31.9b1v
Compiler

Compiled 196 to 105 computations (46.4% saved)

regimes28.0ms (0.4%)

Counts
21 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(/.f64 e (/.f64 (+.f64 e 1) v))
(*.f64 e (/.f64 v (+.f64 e 1)))
(*.f64 (/.f64 e (+.f64 e 1)) v)
(*.f64 e (/.f64 1 (/.f64 (+.f64 1 e) v)))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 e) e)) v)
(*.f64 e (/.f64 (-.f64 v (/.f64 v e)) e))
(/.f64 1 (/.f64 (+.f64 e 1) (*.f64 e v)))
(+.f64 e (*.f64 (+.f64 (/.f64 v (+.f64 1 e)) -1) e))
(/.f64 1 (*.f64 (/.f64 (+.f64 1 e) e) (/.f64 1 v)))
(-.f64 (+.f64 1 (*.f64 e (/.f64 v (+.f64 e 1)))) 1)
(*.f64 e (-.f64 (+.f64 1 (/.f64 v (+.f64 e 1))) 1))
(/.f64 (-.f64 (*.f64 v v) (*.f64 (/.f64 (neg.f64 v) e) (/.f64 (neg.f64 v) e))) (-.f64 v (/.f64 (neg.f64 v) e)))
Outputs
(*.f64 e (/.f64 v (+.f64 e 1)))
Calls

2 calls:

12.0ms
e
11.0ms
v
Results
ErrorSegmentsBranch
32.9b1e
32.9b1v
Compiler

Compiled 175 to 91 computations (48% saved)

regimes15.0ms (0.2%)

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

2 calls:

6.0ms
v
6.0ms
e
Results
ErrorSegmentsBranch
33.0b1e
33.0b1v
Compiler

Compiled 61 to 27 computations (55.7% saved)

regimes16.0ms (0.2%)

Counts
9 → 1
Calls
Call 1
Inputs
v
(*.f64 v e)
(/.f64 (neg.f64 v) e)
(-.f64 v (/.f64 v e))
(-.f64 v (/.f64 v e))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 e (*.f64 e e)))
(/.f64 1 (/.f64 1 (*.f64 v e)))
(*.f64 v (-.f64 e (*.f64 e e)))
Outputs
(*.f64 v (-.f64 e (*.f64 e e)))
Calls

2 calls:

8.0ms
v
6.0ms
e
Results
ErrorSegmentsBranch
33.1b1e
33.1b1v
Compiler

Compiled 54 to 23 computations (57.4% saved)

regimes11.0ms (0.1%)

Accuracy

Total -29.7b remaining (-89.3%)

Threshold costs -29.7b (-89.3%)

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

2 calls:

5.0ms
e
5.0ms
v
Results
ErrorSegmentsBranch
33.2b1e
33.2b1v
Compiler

Compiled 33 to 16 computations (51.5% saved)

simplify14.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
034101
162101
277101
388101
494101
595101
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(*.f64 (sin.f64 v) e)
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(*.f64 e (/.f64 v (+.f64 e 1)))
(/.f64 e (/.f64 (+.f64 e 1) v))
(*.f64 v (-.f64 e (*.f64 e e)))
(*.f64 v e)
v
Outputs
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 (cos.f64 v) e))))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 (*.f64 e (cos.f64 v)))))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 1 e)))
(*.f64 e (/.f64 (sin.f64 v) (+.f64 e 1)))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(/.f64 e (+.f64 (*.f64 (-.f64 (*.f64 -1/2 e) (*.f64 -1/6 (+.f64 1 e))) v) (+.f64 (/.f64 e v) (/.f64 1 v))))
(/.f64 e (+.f64 (*.f64 v (+.f64 (*.f64 e -1/2) (*.f64 1/6 (+.f64 e 1)))) (+.f64 (/.f64 e v) (/.f64 1 v))))
(/.f64 e (+.f64 (*.f64 v (+.f64 (*.f64 e -1/2) (*.f64 (+.f64 e 1) 1/6))) (+.f64 (/.f64 e v) (/.f64 1 v))))
(*.f64 e (/.f64 v (+.f64 e 1)))
(/.f64 e (/.f64 (+.f64 e 1) v))
(*.f64 v (-.f64 e (*.f64 e e)))
(*.f64 v e)
(*.f64 e v)
v
Compiler

Compiled 87 to 58 computations (33.3% 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)

end56.0ms (0.7%)

Compiler

Compiled 71 to 40 computations (43.7% saved)

Profiling

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