Details

Time bar (total: 3.0s)

analyze200.0ms (6.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
50%50%0.1%2
50%50%0.1%3
74.9%25%0.1%4
74.9%25%0.1%5
74.9%21.9%3.2%6
74.9%20.3%4.8%7
74.9%18%7.1%8
74.9%16.8%8.3%9
74.9%15.4%9.7%10
74.9%14.7%10.3%11
74.9%14%11.1%12
74.9%13.6%11.4%13
74.9%13.3%11.8%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample2.2s (73.6%)

Results
738.0ms1375×body1024valid
666.0ms5835×body128valid
349.0ms718×body1024invalid
199.0ms680×body512valid
92.0ms318×body512invalid
70.0ms357×body256valid
47.0ms199×body256invalid
28.0ms238×body128invalid
9.0msbody2048valid
Compiler

Compiled 16 to 12 computations (25% saved)

preprocess16.0ms (0.5%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
11116
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 im) (sin.f64 re))
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 im) (sin.f64 re))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify6.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
178
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (exp.f64 re) (sin.f64 im))

series4.0ms (0.1%)

Counts
1 → 8
Calls

6 calls:

TimeVariablePointExpression
1.0ms
im
@0
(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms
re
@inf
(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms
re
@0
(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms
im
@-inf
(*.f64 (exp.f64 re) (sin.f64 im))
0.0ms
im
@inf
(*.f64 (exp.f64 re) (sin.f64 im))

rewrite29.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
530×pow1_binary64
483×add-log-exp_binary64
483×log1p-expm1-u_binary64
483×expm1-log1p-u_binary64
471×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11138
213248
Stop Event
node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (sin.f64 im) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 (exp.f64 re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 re (log.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im))))))))

simplify30.0ms (1%)

Algorithm
egg-herbie
Rules
867×fma-def_binary64
496×associate-*l*_binary64
401×associate-*r*_binary64
338×cancel-sign-sub-inv_binary64
241×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040168
1125160
2363139
31249119
44517119
Stop Event
node limit
Counts
21 → 28
Calls
Call 1
Inputs
(sin.f64 im)
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 re 3) (sin.f64 im))) (sin.f64 im))))
(*.f64 (exp.f64 re) im)
(-.f64 (*.f64 (exp.f64 re) im) (*.f64 1/6 (*.f64 (exp.f64 re) (pow.f64 im 3))))
(-.f64 (+.f64 (*.f64 (exp.f64 re) im) (*.f64 1/120 (*.f64 (exp.f64 re) (pow.f64 im 5)))) (*.f64 1/6 (*.f64 (exp.f64 re) (pow.f64 im 3))))
(-.f64 (+.f64 (*.f64 (exp.f64 re) im) (*.f64 1/120 (*.f64 (exp.f64 re) (pow.f64 im 5)))) (+.f64 (*.f64 1/5040 (*.f64 (exp.f64 re) (pow.f64 im 7))) (*.f64 1/6 (*.f64 (exp.f64 re) (pow.f64 im 3)))))
Outputs
(sin.f64 im)
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(fma.f64 re (sin.f64 im) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 re 1))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im)))
(fma.f64 1/2 (*.f64 (sin.f64 im) (*.f64 re re)) (fma.f64 re (sin.f64 im) (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (*.f64 (*.f64 1/2 re) re)))
(*.f64 (sin.f64 im) (+.f64 1 (fma.f64 1/2 (*.f64 re re) re)))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 re 1/2 1) re 1))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 re 3) (sin.f64 im))) (sin.f64 im))))
(fma.f64 1/2 (*.f64 (sin.f64 im) (*.f64 re re)) (fma.f64 re (sin.f64 im) (fma.f64 1/6 (*.f64 (sin.f64 im) (pow.f64 re 3)) (sin.f64 im))))
(+.f64 (fma.f64 1/6 (*.f64 (sin.f64 im) (pow.f64 re 3)) (sin.f64 im)) (*.f64 (sin.f64 im) (+.f64 (*.f64 (*.f64 1/2 re) re) re)))
(*.f64 (sin.f64 im) (+.f64 (+.f64 1 (fma.f64 1/2 (*.f64 re re) re)) (*.f64 1/6 (pow.f64 re 3))))
(*.f64 (sin.f64 im) (+.f64 (fma.f64 re (*.f64 re 1/2) 1) (fma.f64 1/6 (pow.f64 re 3) re)))
(*.f64 (exp.f64 re) im)
(*.f64 im (exp.f64 re))
(-.f64 (*.f64 (exp.f64 re) im) (*.f64 1/6 (*.f64 (exp.f64 re) (pow.f64 im 3))))
(+.f64 (*.f64 im (exp.f64 re)) (*.f64 -1/6 (*.f64 (exp.f64 re) (pow.f64 im 3))))
(fma.f64 im (exp.f64 re) (*.f64 (*.f64 -1/6 (exp.f64 re)) (pow.f64 im 3)))
(*.f64 (exp.f64 re) (-.f64 im (*.f64 1/6 (pow.f64 im 3))))
(*.f64 (exp.f64 re) (fma.f64 (pow.f64 im 3) -1/6 im))
(-.f64 (+.f64 (*.f64 (exp.f64 re) im) (*.f64 1/120 (*.f64 (exp.f64 re) (pow.f64 im 5)))) (*.f64 1/6 (*.f64 (exp.f64 re) (pow.f64 im 3))))
(+.f64 (fma.f64 (exp.f64 re) im (*.f64 1/120 (*.f64 (exp.f64 re) (pow.f64 im 5)))) (*.f64 -1/6 (*.f64 (exp.f64 re) (pow.f64 im 3))))
(fma.f64 im (exp.f64 re) (fma.f64 1/120 (*.f64 (exp.f64 re) (pow.f64 im 5)) (*.f64 (*.f64 -1/6 (exp.f64 re)) (pow.f64 im 3))))
(fma.f64 im (exp.f64 re) (*.f64 (exp.f64 re) (-.f64 (*.f64 1/120 (pow.f64 im 5)) (*.f64 1/6 (pow.f64 im 3)))))
(*.f64 (exp.f64 re) (+.f64 (*.f64 1/120 (pow.f64 im 5)) (fma.f64 (pow.f64 im 3) -1/6 im)))
(-.f64 (+.f64 (*.f64 (exp.f64 re) im) (*.f64 1/120 (*.f64 (exp.f64 re) (pow.f64 im 5)))) (+.f64 (*.f64 1/5040 (*.f64 (exp.f64 re) (pow.f64 im 7))) (*.f64 1/6 (*.f64 (exp.f64 re) (pow.f64 im 3)))))
(-.f64 (fma.f64 (exp.f64 re) im (*.f64 1/120 (*.f64 (exp.f64 re) (pow.f64 im 5)))) (fma.f64 1/5040 (*.f64 (exp.f64 re) (pow.f64 im 7)) (*.f64 1/6 (*.f64 (exp.f64 re) (pow.f64 im 3)))))
(-.f64 (fma.f64 im (exp.f64 re) (*.f64 (exp.f64 re) (*.f64 (pow.f64 im 5) 1/120))) (fma.f64 1/5040 (*.f64 (exp.f64 re) (pow.f64 im 7)) (*.f64 (exp.f64 re) (*.f64 (pow.f64 im 3) 1/6))))
(+.f64 (*.f64 (exp.f64 re) (-.f64 (*.f64 1/120 (pow.f64 im 5)) (*.f64 1/6 (pow.f64 im 3)))) (*.f64 (exp.f64 re) (-.f64 im (*.f64 1/5040 (pow.f64 im 7)))))
(*.f64 (exp.f64 re) (-.f64 (fma.f64 1/120 (pow.f64 im 5) im) (fma.f64 1/6 (pow.f64 im 3) (*.f64 1/5040 (pow.f64 im 7)))))

prune18.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New25328
Fresh000
Picked011
Done000
Total25429
Error
0.0b
Counts
29 → 4
Alt Table
StatusErrorProgram
36.1b
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
24.4b
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
22.1b
(fma.f64 (sin.f64 im) re (sin.f64 im))
0.0b
(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 365 to 195 computations (46.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (sin.f64 im) re (sin.f64 im))

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
im
@0
(fma.f64 (sin.f64 im) re (sin.f64 im))
1.0ms
re
@0
(fma.f64 (sin.f64 im) re (sin.f64 im))
1.0ms
re
@-inf
(fma.f64 (sin.f64 im) re (sin.f64 im))
1.0ms
im
@inf
(fma.f64 (sin.f64 im) re (sin.f64 im))
0.0ms
re
@inf
(fma.f64 (sin.f64 im) re (sin.f64 im))

rewrite31.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
479×pow1_binary64
438×add-log-exp_binary64
438×log1p-expm1-u_binary64
438×expm1-log1p-u_binary64
427×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
1989
211639
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 (sin.f64 im) re (sin.f64 im))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 im) re) (sin.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 im) re) 1) (sin.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (sin.f64 im) re (sin.f64 im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 im) re (sin.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 im) re (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 im) re (sin.f64 im))) (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 im) re (sin.f64 im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 im) re (sin.f64 im)) 2)) (cbrt.f64 (fma.f64 (sin.f64 im) re (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 im) re (sin.f64 im))) (sqrt.f64 (fma.f64 (sin.f64 im) re (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 im) re) 3) (pow.f64 (sin.f64 im) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 im) re) (*.f64 (sin.f64 im) re)) (-.f64 (pow.f64 (sin.f64 im) 2) (*.f64 (*.f64 (sin.f64 im) re) (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sin.f64 im) re) (*.f64 (sin.f64 im) re)) (pow.f64 (sin.f64 im) 2)) (-.f64 (*.f64 (sin.f64 im) re) (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 im) re (sin.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 im) re (sin.f64 im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 im) re (sin.f64 im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 im) re (sin.f64 im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 im) re (sin.f64 im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 im) re (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 im) re (sin.f64 im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 im) re (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 im) re (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 im) re (sin.f64 im))))))))

simplify24.0ms (0.8%)

Algorithm
egg-herbie
Rules
682×fma-neg_binary64
549×associate--r+_binary64
422×associate-*l*_binary64
350×fma-def_binary64
304×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041293
1139276
2491260
32299252
Stop Event
node limit
Counts
45 → 33
Calls
Call 1
Inputs
(*.f64 (+.f64 1 re) im)
(-.f64 (+.f64 (*.f64 re im) im) (+.f64 (*.f64 1/6 (*.f64 re (pow.f64 im 3))) (*.f64 1/6 (pow.f64 im 3))))
(-.f64 (+.f64 (*.f64 1/120 (pow.f64 im 5)) (+.f64 (*.f64 1/120 (*.f64 re (pow.f64 im 5))) (+.f64 (*.f64 re im) im))) (+.f64 (*.f64 1/6 (pow.f64 im 3)) (*.f64 1/6 (*.f64 re (pow.f64 im 3)))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 re (pow.f64 im 5))) (+.f64 (*.f64 1/120 (pow.f64 im 5)) (+.f64 (*.f64 re im) im))) (+.f64 (*.f64 1/6 (pow.f64 im 3)) (+.f64 (*.f64 1/6 (*.f64 re (pow.f64 im 3))) (+.f64 (*.f64 1/5040 (*.f64 re (pow.f64 im 7))) (*.f64 1/5040 (pow.f64 im 7))))))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(sin.f64 im)
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(*.f64 re (sin.f64 im))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(*.f64 re (sin.f64 im))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
Outputs
(*.f64 (+.f64 1 re) im)
(fma.f64 re im im)
(-.f64 (+.f64 (*.f64 re im) im) (+.f64 (*.f64 1/6 (*.f64 re (pow.f64 im 3))) (*.f64 1/6 (pow.f64 im 3))))
(-.f64 (fma.f64 re im im) (*.f64 1/6 (+.f64 (*.f64 re (pow.f64 im 3)) (pow.f64 im 3))))
(-.f64 (fma.f64 re im im) (*.f64 (pow.f64 im 3) (+.f64 (*.f64 re 1/6) 1/6)))
(-.f64 (fma.f64 re im im) (*.f64 (pow.f64 im 3) (fma.f64 re 1/6 1/6)))
(*.f64 (+.f64 1 re) (+.f64 im (*.f64 (pow.f64 im 3) -1/6)))
(-.f64 (+.f64 (*.f64 1/120 (pow.f64 im 5)) (+.f64 (*.f64 1/120 (*.f64 re (pow.f64 im 5))) (+.f64 (*.f64 re im) im))) (+.f64 (*.f64 1/6 (pow.f64 im 3)) (*.f64 1/6 (*.f64 re (pow.f64 im 3)))))
(-.f64 (fma.f64 1/120 (pow.f64 im 5) (fma.f64 1/120 (*.f64 re (pow.f64 im 5)) (fma.f64 re im im))) (*.f64 1/6 (+.f64 (*.f64 re (pow.f64 im 3)) (pow.f64 im 3))))
(+.f64 (+.f64 (fma.f64 re im im) (*.f64 (pow.f64 im 5) (+.f64 1/120 (*.f64 re 1/120)))) (*.f64 -1/6 (*.f64 (+.f64 1 re) (pow.f64 im 3))))
(-.f64 (fma.f64 (pow.f64 im 5) (fma.f64 re 1/120 1/120) (fma.f64 re im im)) (*.f64 (pow.f64 im 3) (fma.f64 re 1/6 1/6)))
(-.f64 (*.f64 (+.f64 1 re) (fma.f64 1/120 (pow.f64 im 5) im)) (*.f64 (pow.f64 im 3) (fma.f64 re 1/6 1/6)))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 re (pow.f64 im 5))) (+.f64 (*.f64 1/120 (pow.f64 im 5)) (+.f64 (*.f64 re im) im))) (+.f64 (*.f64 1/6 (pow.f64 im 3)) (+.f64 (*.f64 1/6 (*.f64 re (pow.f64 im 3))) (+.f64 (*.f64 1/5040 (*.f64 re (pow.f64 im 7))) (*.f64 1/5040 (pow.f64 im 7))))))
(-.f64 (fma.f64 1/120 (*.f64 re (pow.f64 im 5)) (fma.f64 1/120 (pow.f64 im 5) (fma.f64 re im im))) (fma.f64 1/6 (pow.f64 im 3) (fma.f64 1/6 (*.f64 re (pow.f64 im 3)) (*.f64 1/5040 (+.f64 (*.f64 re (pow.f64 im 7)) (pow.f64 im 7))))))
(+.f64 (*.f64 (pow.f64 im 5) (+.f64 1/120 (*.f64 re 1/120))) (-.f64 (fma.f64 re im im) (fma.f64 1/6 (*.f64 (+.f64 1 re) (pow.f64 im 3)) (*.f64 (pow.f64 im 7) (+.f64 (*.f64 re 1/5040) 1/5040)))))
(-.f64 (fma.f64 (pow.f64 im 5) (fma.f64 re 1/120 1/120) (fma.f64 re im im)) (fma.f64 (pow.f64 im 3) (fma.f64 re 1/6 1/6) (*.f64 (pow.f64 im 7) (fma.f64 re 1/5040 1/5040))))
(-.f64 (*.f64 (+.f64 1 re) (fma.f64 1/120 (pow.f64 im 5) im)) (*.f64 (+.f64 1 re) (fma.f64 1/5040 (pow.f64 im 7) (*.f64 1/6 (pow.f64 im 3)))))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(sin.f64 im)
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 re (sin.f64 im))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 re (sin.f64 im))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))

prune15.0ms (0.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New33033
Fresh022
Picked011
Done011
Total33437
Error
0.0b
Counts
37 → 4
Alt Table
StatusErrorProgram
36.1b
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
24.4b
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
22.1b
(fma.f64 (sin.f64 im) re (sin.f64 im))
0.0b
(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 475 to 225 computations (52.6% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (exp.f64 re) (sin.f64 im))
0.1b
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
0.8b
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

series9.0ms (0.3%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
2.0ms
im
@-inf
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
1.0ms
im
@0
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
1.0ms
im
@0
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
1.0ms
re
@0
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
1.0ms
im
@inf
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)

rewrite39.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
681×pow1_binary64
626×add-log-exp_binary64
626×log1p-expm1-u_binary64
626×expm1-log1p-u_binary64
77×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
117918
2176918
Stop Event
node limit
Counts
2 → 54
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 im)) (sqrt.f64 (exp.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/4) (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 re (log.f64 (sin.f64 im))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 re) (sin.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 im) (exp.f64 re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (exp.f64 re) (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2)) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 re) 2)) (*.f64 (cbrt.f64 (exp.f64 re)) (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 im)) (*.f64 (sqrt.f64 (sin.f64 im)) (exp.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (sqrt.f64 (sin.f64 im)) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/4) (*.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/4) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/4)) (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 re) (pow.f64 (cbrt.f64 (sin.f64 im)) 2)) (cbrt.f64 (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 re) (sqrt.f64 (sin.f64 im))) (sqrt.f64 (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 im) (cbrt.f64 (pow.f64 (exp.f64 re) 2))) (cbrt.f64 (exp.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))) (sqrt.f64 (exp.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))) (cbrt.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) (sqrt.f64 (exp.f64 re))) (sqrt.f64 (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (exp.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (sin.f64 im) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 (exp.f64 re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 re (log.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im))))))))

simplify41.0ms (1.4%)

Algorithm
egg-herbie
Rules
891×fma-def_binary64
600×distribute-rgt-out_binary64
395×associate-*l*_binary64
371×distribute-lft-out_binary64
286×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
036293
1101276
2283252
3872240
42975239
54392239
Stop Event
node limit
Counts
78 → 68
Calls
Call 1
Inputs
(sqrt.f64 (sin.f64 im))
(+.f64 (*.f64 1/2 (*.f64 re (sqrt.f64 (sin.f64 im)))) (sqrt.f64 (sin.f64 im)))
(+.f64 (*.f64 1/2 (*.f64 re (sqrt.f64 (sin.f64 im)))) (+.f64 (sqrt.f64 (sin.f64 im)) (*.f64 1/8 (*.f64 (pow.f64 re 2) (sqrt.f64 (sin.f64 im))))))
(+.f64 (*.f64 1/2 (*.f64 re (sqrt.f64 (sin.f64 im)))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 re 3) (sqrt.f64 (sin.f64 im)))) (+.f64 (sqrt.f64 (sin.f64 im)) (*.f64 1/8 (*.f64 (pow.f64 re 2) (sqrt.f64 (sin.f64 im)))))))
(sin.f64 im)
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 re 3) (sin.f64 im))) (sin.f64 im))))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
Outputs
(sqrt.f64 (sin.f64 im))
(+.f64 (*.f64 1/2 (*.f64 re (sqrt.f64 (sin.f64 im)))) (sqrt.f64 (sin.f64 im)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (sin.f64 im)) re) (sqrt.f64 (sin.f64 im)))
(*.f64 (+.f64 (*.f64 1/2 re) 1) (sqrt.f64 (sin.f64 im)))
(*.f64 (sqrt.f64 (sin.f64 im)) (fma.f64 1/2 re 1))
(+.f64 (*.f64 1/2 (*.f64 re (sqrt.f64 (sin.f64 im)))) (+.f64 (sqrt.f64 (sin.f64 im)) (*.f64 1/8 (*.f64 (pow.f64 re 2) (sqrt.f64 (sin.f64 im))))))
(+.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (sin.f64 im)) re) (sqrt.f64 (sin.f64 im))) (*.f64 1/8 (*.f64 (sqrt.f64 (sin.f64 im)) (*.f64 re re))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (sin.f64 im)) re) (*.f64 (+.f64 (*.f64 (*.f64 1/8 re) re) 1) (sqrt.f64 (sin.f64 im))))
(*.f64 (sqrt.f64 (sin.f64 im)) (+.f64 (*.f64 re (*.f64 re 1/8)) (fma.f64 1/2 re 1)))
(*.f64 (sqrt.f64 (sin.f64 im)) (fma.f64 1/2 re (fma.f64 1/8 (*.f64 re re) 1)))
(*.f64 (sqrt.f64 (sin.f64 im)) (fma.f64 1/2 re (fma.f64 re (*.f64 re 1/8) 1)))
(+.f64 (*.f64 1/2 (*.f64 re (sqrt.f64 (sin.f64 im)))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 re 3) (sqrt.f64 (sin.f64 im)))) (+.f64 (sqrt.f64 (sin.f64 im)) (*.f64 1/8 (*.f64 (pow.f64 re 2) (sqrt.f64 (sin.f64 im)))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (sin.f64 im)) re) (fma.f64 1/48 (*.f64 (sqrt.f64 (sin.f64 im)) (pow.f64 re 3)) (+.f64 (sqrt.f64 (sin.f64 im)) (*.f64 1/8 (*.f64 (sqrt.f64 (sin.f64 im)) (*.f64 re re))))))
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 1/8 re) re) 1) (sqrt.f64 (sin.f64 im))) (*.f64 (sqrt.f64 (sin.f64 im)) (+.f64 (*.f64 1/2 re) (*.f64 1/48 (pow.f64 re 3)))))
(fma.f64 (sqrt.f64 (sin.f64 im)) (fma.f64 1/2 re (*.f64 1/48 (pow.f64 re 3))) (*.f64 (sqrt.f64 (sin.f64 im)) (fma.f64 1/8 (*.f64 re re) 1)))
(*.f64 (sqrt.f64 (sin.f64 im)) (+.f64 (fma.f64 1/2 re 1) (*.f64 (*.f64 re re) (+.f64 (*.f64 re 1/48) 1/8))))
(*.f64 (sqrt.f64 (sin.f64 im)) (+.f64 1 (*.f64 re (+.f64 (*.f64 re (+.f64 1/8 (*.f64 re 1/48))) 1/2))))
(sin.f64 im)
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(fma.f64 re (sin.f64 im) (sin.f64 im))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 re 1))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im)))
(fma.f64 1/2 (*.f64 (sin.f64 im) (*.f64 re re)) (fma.f64 re (sin.f64 im) (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (*.f64 (*.f64 1/2 re) re)))
(fma.f64 (sin.f64 im) (*.f64 (fma.f64 1/2 re 1) re) (sin.f64 im))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 1/2 re 1) re 1))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 re 3) (sin.f64 im))) (sin.f64 im))))
(fma.f64 1/2 (*.f64 (sin.f64 im) (*.f64 re re)) (fma.f64 re (sin.f64 im) (fma.f64 1/6 (*.f64 (sin.f64 im) (pow.f64 re 3)) (sin.f64 im))))
(+.f64 (fma.f64 1/6 (*.f64 (sin.f64 im) (pow.f64 re 3)) (sin.f64 im)) (*.f64 (sin.f64 im) (+.f64 (*.f64 (*.f64 1/2 re) re) re)))
(*.f64 (sin.f64 im) (+.f64 (+.f64 1 (*.f64 (fma.f64 1/2 re 1) re)) (*.f64 (pow.f64 re 3) 1/6)))
(fma.f64 (sin.f64 im) (fma.f64 1/2 (*.f64 re re) (fma.f64 (pow.f64 re 3) 1/6 re)) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 re (fma.f64 1/2 (*.f64 re re) (fma.f64 (pow.f64 re 3) 1/6 1))))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))

prune46.0ms (1.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New95196
Fresh011
Picked011
Done022
Total955100
Error
0b
Counts
100 → 5
Alt Table
StatusErrorProgram
1.0b
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)))
36.1b
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
24.4b
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
22.1b
(fma.f64 (sin.f64 im) re (sin.f64 im))
0.0b
(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 1283 to 588 computations (54.2% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
0.2b
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)))
0.5b
(pow.f64 (cbrt.f64 (sin.f64 im)) 2)
0.6b
(cbrt.f64 (sin.f64 im))

series12.0ms (0.4%)

Counts
4 → 60
Calls

18 calls:

TimeVariablePointExpression
2.0ms
im
@inf
(cbrt.f64 (sin.f64 im))
2.0ms
re
@inf
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
1.0ms
im
@-inf
(cbrt.f64 (sin.f64 im))
1.0ms
im
@0
(pow.f64 (cbrt.f64 (sin.f64 im)) 2)
1.0ms
im
@inf
(pow.f64 (cbrt.f64 (sin.f64 im)) 2)

rewrite44.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
837×pow1_binary64
769×log1p-expm1-u_binary64
769×expm1-log1p-u_binary64
94×add-sqr-sqrt_binary64
91×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
119731
2219131
Stop Event
node limit
Counts
4 → 72
Calls
Call 1
Inputs
(cbrt.f64 (sin.f64 im))
(pow.f64 (cbrt.f64 (sin.f64 im)) 2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)))
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 im) 1/6) (pow.f64 (sin.f64 im) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 im)) 1/3) (pow.f64 (sqrt.f64 (sin.f64 im)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 im) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 im) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 im)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 im))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 im))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (sin.f64 im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 im)) (pow.f64 (sin.f64 im) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 im) 1/6) (*.f64 (pow.f64 (sin.f64 im) 1/6) (cbrt.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 im)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 im) (exp.f64 re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (exp.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 (exp.f64 re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 im) 2) (pow.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 3) (pow.f64 (sin.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 im) (exp.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sin.f64 im)) re))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 (sin.f64 im)) re) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cbrt.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (sin.f64 im) (pow.f64 (exp.f64 re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) 3) (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 re (log.f64 (cbrt.f64 (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 re (log.f64 (cbrt.f64 (sin.f64 im)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))))))))

simplify42.0ms (1.4%)

Algorithm
egg-herbie
Rules
807×fma-neg_binary64
423×*-commutative_binary64
338×cancel-sign-sub-inv_binary64
288×fma-def_binary64
227×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054640
1169622
2507591
31955576
44360576
Stop Event
node limit
Counts
132 → 99
Calls
Call 1
Inputs
(pow.f64 (sin.f64 im) 1/3)
(pow.f64 (sin.f64 im) 1/3)
(pow.f64 (sin.f64 im) 1/3)
(pow.f64 (sin.f64 im) 1/3)
(pow.f64 (sin.f64 im) 1/3)
(pow.f64 (sin.f64 im) 1/3)
(pow.f64 (sin.f64 im) 1/3)
(pow.f64 (sin.f64 im) 1/3)
(pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)
(pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)
(*.f64 (exp.f64 re) im)
(-.f64 (*.f64 (exp.f64 re) im) (*.f64 1/6 (*.f64 (exp.f64 re) (pow.f64 im 3))))
(-.f64 (+.f64 (*.f64 (exp.f64 re) im) (*.f64 1/120 (*.f64 (exp.f64 re) (pow.f64 im 5)))) (*.f64 1/6 (*.f64 (exp.f64 re) (pow.f64 im 3))))
(-.f64 (+.f64 (*.f64 (exp.f64 re) im) (*.f64 1/120 (*.f64 (exp.f64 re) (pow.f64 im 5)))) (+.f64 (*.f64 1/5040 (*.f64 (exp.f64 re) (pow.f64 im 7))) (*.f64 1/6 (*.f64 (exp.f64 re) (pow.f64 im 3)))))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(sin.f64 im)
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 re 3) (sin.f64 im))) (sin.f64 im))))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(pow.f64 (sin.f64 im) 1/3)
(+.f64 (*.f64 re (pow.f64 (sin.f64 im) 1/3)) (pow.f64 (sin.f64 im) 1/3))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 (sin.f64 im) 1/3))) (+.f64 (*.f64 re (pow.f64 (sin.f64 im) 1/3)) (pow.f64 (sin.f64 im) 1/3)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 re 3) (pow.f64 (sin.f64 im) 1/3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 (sin.f64 im) 1/3))) (+.f64 (*.f64 re (pow.f64 (sin.f64 im) 1/3)) (pow.f64 (sin.f64 im) 1/3))))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
Outputs
(pow.f64 (sin.f64 im) 1/3)
(cbrt.f64 (sin.f64 im))
(pow.f64 (sin.f64 im) 1/3)
(cbrt.f64 (sin.f64 im))
(pow.f64 (sin.f64 im) 1/3)
(cbrt.f64 (sin.f64 im))
(pow.f64 (sin.f64 im) 1/3)
(cbrt.f64 (sin.f64 im))
(pow.f64 (sin.f64 im) 1/3)
(cbrt.f64 (sin.f64 im))
(pow.f64 (sin.f64 im) 1/3)
(cbrt.f64 (sin.f64 im))
(pow.f64 (sin.f64 im) 1/3)
(cbrt.f64 (sin.f64 im))
(pow.f64 (sin.f64 im) 1/3)
(cbrt.f64 (sin.f64 im))
(pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 im) 2))
(pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 im) 2))
(pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 im) 2))
(pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 im) 2))
(pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 im) 2))
(pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 im) 2))
(pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 im) 2))
(pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 im) 2))
(*.f64 (exp.f64 re) im)
(*.f64 im (exp.f64 re))
(-.f64 (*.f64 (exp.f64 re) im) (*.f64 1/6 (*.f64 (exp.f64 re) (pow.f64 im 3))))
(+.f64 (*.f64 im (exp.f64 re)) (*.f64 -1/6 (*.f64 (exp.f64 re) (pow.f64 im 3))))
(fma.f64 im (exp.f64 re) (*.f64 (*.f64 (exp.f64 re) (pow.f64 im 3)) -1/6))
(*.f64 (exp.f64 re) (-.f64 im (*.f64 1/6 (pow.f64 im 3))))
(*.f64 (exp.f64 re) (+.f64 im (*.f64 (pow.f64 im 3) -1/6)))
(-.f64 (+.f64 (*.f64 (exp.f64 re) im) (*.f64 1/120 (*.f64 (exp.f64 re) (pow.f64 im 5)))) (*.f64 1/6 (*.f64 (exp.f64 re) (pow.f64 im 3))))
(+.f64 (fma.f64 (exp.f64 re) im (*.f64 1/120 (*.f64 (exp.f64 re) (pow.f64 im 5)))) (*.f64 -1/6 (*.f64 (exp.f64 re) (pow.f64 im 3))))
(fma.f64 im (exp.f64 re) (fma.f64 1/120 (*.f64 (exp.f64 re) (pow.f64 im 5)) (*.f64 (*.f64 (exp.f64 re) (pow.f64 im 3)) -1/6)))
(fma.f64 im (exp.f64 re) (*.f64 (exp.f64 re) (+.f64 (*.f64 1/120 (pow.f64 im 5)) (*.f64 (pow.f64 im 3) -1/6))))
(*.f64 (exp.f64 re) (+.f64 im (fma.f64 1/120 (pow.f64 im 5) (*.f64 (pow.f64 im 3) -1/6))))
(-.f64 (+.f64 (*.f64 (exp.f64 re) im) (*.f64 1/120 (*.f64 (exp.f64 re) (pow.f64 im 5)))) (+.f64 (*.f64 1/5040 (*.f64 (exp.f64 re) (pow.f64 im 7))) (*.f64 1/6 (*.f64 (exp.f64 re) (pow.f64 im 3)))))
(-.f64 (fma.f64 (exp.f64 re) im (*.f64 1/120 (*.f64 (exp.f64 re) (pow.f64 im 5)))) (fma.f64 1/5040 (*.f64 (exp.f64 re) (pow.f64 im 7)) (*.f64 1/6 (*.f64 (exp.f64 re) (pow.f64 im 3)))))
(-.f64 (fma.f64 im (exp.f64 re) (*.f64 (exp.f64 re) (*.f64 (pow.f64 im 5) 1/120))) (fma.f64 1/5040 (*.f64 (exp.f64 re) (pow.f64 im 7)) (*.f64 (pow.f64 im 3) (*.f64 (exp.f64 re) 1/6))))
(+.f64 (*.f64 (exp.f64 re) (+.f64 (*.f64 1/120 (pow.f64 im 5)) (*.f64 (pow.f64 im 3) -1/6))) (*.f64 (exp.f64 re) (-.f64 im (*.f64 1/5040 (pow.f64 im 7)))))
(*.f64 (exp.f64 re) (+.f64 (fma.f64 1/120 (pow.f64 im 5) (*.f64 (pow.f64 im 3) -1/6)) (+.f64 im (*.f64 (pow.f64 im 7) -1/5040))))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(sin.f64 im)
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(fma.f64 re (sin.f64 im) (sin.f64 im))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 re 1))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im)))
(fma.f64 1/2 (*.f64 (sin.f64 im) (*.f64 re re)) (fma.f64 re (sin.f64 im) (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (*.f64 1/2 (*.f64 re re))))
(*.f64 (sin.f64 im) (fma.f64 1/2 (*.f64 re re) (+.f64 re 1)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (*.f64 re (sin.f64 im)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 re 3) (sin.f64 im))) (sin.f64 im))))
(fma.f64 1/2 (*.f64 (sin.f64 im) (*.f64 re re)) (fma.f64 re (sin.f64 im) (fma.f64 1/6 (*.f64 (sin.f64 im) (pow.f64 re 3)) (sin.f64 im))))
(+.f64 (fma.f64 1/6 (*.f64 (sin.f64 im) (pow.f64 re 3)) (sin.f64 im)) (*.f64 (sin.f64 im) (+.f64 (*.f64 1/2 (*.f64 re re)) re)))
(*.f64 (sin.f64 im) (+.f64 (fma.f64 1/2 (*.f64 re re) (+.f64 re 1)) (*.f64 1/6 (pow.f64 re 3))))
(*.f64 (sin.f64 im) (+.f64 (fma.f64 1/6 (pow.f64 re 3) 1) (fma.f64 1/2 (*.f64 re re) re)))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(pow.f64 (sin.f64 im) 1/3)
(cbrt.f64 (sin.f64 im))
(+.f64 (*.f64 re (pow.f64 (sin.f64 im) 1/3)) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (+.f64 re 1) (cbrt.f64 (sin.f64 im)))
(*.f64 (cbrt.f64 (sin.f64 im)) (+.f64 re 1))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 (sin.f64 im) 1/3))) (+.f64 (*.f64 re (pow.f64 (sin.f64 im) 1/3)) (pow.f64 (sin.f64 im) 1/3)))
(fma.f64 1/2 (*.f64 (cbrt.f64 (sin.f64 im)) (*.f64 re re)) (*.f64 (+.f64 re 1) (cbrt.f64 (sin.f64 im))))
(*.f64 (cbrt.f64 (sin.f64 im)) (+.f64 (+.f64 re 1) (*.f64 1/2 (*.f64 re re))))
(*.f64 (cbrt.f64 (sin.f64 im)) (fma.f64 1/2 (*.f64 re re) (+.f64 re 1)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 re 3) (pow.f64 (sin.f64 im) 1/3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 re 2) (pow.f64 (sin.f64 im) 1/3))) (+.f64 (*.f64 re (pow.f64 (sin.f64 im) 1/3)) (pow.f64 (sin.f64 im) 1/3))))
(fma.f64 1/6 (*.f64 (cbrt.f64 (sin.f64 im)) (pow.f64 re 3)) (fma.f64 1/2 (*.f64 (cbrt.f64 (sin.f64 im)) (*.f64 re re)) (*.f64 (+.f64 re 1) (cbrt.f64 (sin.f64 im)))))
(fma.f64 1/6 (*.f64 (cbrt.f64 (sin.f64 im)) (pow.f64 re 3)) (*.f64 (cbrt.f64 (sin.f64 im)) (+.f64 (+.f64 re 1) (*.f64 1/2 (*.f64 re re)))))
(*.f64 (cbrt.f64 (sin.f64 im)) (+.f64 (+.f64 re 1) (*.f64 (*.f64 re re) (+.f64 (*.f64 re 1/6) 1/2))))
(*.f64 (cbrt.f64 (sin.f64 im)) (+.f64 (fma.f64 1/6 (pow.f64 re 3) 1) (fma.f64 1/2 (*.f64 re re) re)))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(*.f64 (exp.f64 re) (pow.f64 (sin.f64 im) 1/3))
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))

prune58.0ms (1.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1230123
Fresh011
Picked011
Done033
Total1235128
Error
0b
Counts
128 → 5
Alt Table
StatusErrorProgram
1.0b
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)))
36.1b
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
24.4b
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
22.1b
(fma.f64 (sin.f64 im) re (sin.f64 im))
0.0b
(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 1843 to 776 computations (57.9% saved)

regimes30.0ms (1%)

Accuracy

Total 0.0b remaining (67.9%)

Threshold costs 0.0b (67.9%)

Counts
10 → 1
Compiler

Compiled 81 to 37 computations (54.3% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
178
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))

end65.0ms (2.2%)

Stop Event
fuel
Compiler

Compiled 61 to 42 computations (31.1% saved)

Profiling

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