Details

Time bar (total: 10.8s)

analyze622.0ms (5.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
50%50%50%0.1%0%0%0%5
50%50%50%0.1%0%0%0%6
55.2%50%40.6%0.1%9.4%0%0%7
56.1%50%39%0.1%10.9%0%0%8
59.8%50%33.6%0.1%16.4%0%0%9
60.7%50%32.4%0.1%17.6%0%0%10
62.9%50%29.5%0.1%20.5%0%0%11
63.4%50%28.8%0.1%21.2%0%0%12
Compiler

Compiled 15 to 12 computations (20% saved)

sample9.1s (84.3%)

Results
2.5s2033×body1024valid
2.4s1977×body1024infinite
2.0s5154×body256valid
757.0ms1068×body512valid
751.0ms1024×body512infinite
704.0ms1651×body256infinite
1.0ms1×body2048valid
Bogosity

preprocess100.0ms (0.9%)

Algorithm
2×egg-herbie
Rules
958×trig.json-simplify-47
938×rational.json-simplify-2
846×rational.json-simplify-41
740×trig.json-simplify-43
642×exponential.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02170
13570
25570
37270
48570
510570
619570
774570
8156270
9399070
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
(*.f64 (*.f64 1/2 (sin.f64 im)) (+.f64 (exp.f64 (-.f64 0 re)) (exp.f64 re)))
Outputs
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (sin.f64 re) (*.f64 1/2 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (*.f64 1/2 (sin.f64 im)) (+.f64 (exp.f64 (-.f64 0 re)) (exp.f64 re)))
(*.f64 (*.f64 1/2 (sin.f64 im)) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)))
(*.f64 1/2 (*.f64 (sin.f64 im) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re))))
Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify143.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1390×rational.json-simplify-2
900×rational.json-simplify-1
878×trig.json-simplify-41
878×rational.json-simplify-46
832×rational.json-simplify-43
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01435
12235
23335
34235
44935
56035
610935
739435
878035
9248735
10714135
Stop Event
1×node limit
Counts
1 → 3
Calls
Call 1
Inputs
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
Outputs
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

eval2.0ms (0%)

Compiler

Compiled 36 to 20 computations (44.4% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New213
Fresh101
Picked000
Done000
Total314
Error
0.0b
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 13 to 10 computations (23.1% saved)

localize28.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 35 to 13 computations (62.9% saved)

series9.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
im
@inf
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms
re
@-inf
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms
re
@0
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms
re
@inf
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
1.0ms
im
@-inf
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite139.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1500×rational.json-simplify-49
1040×rational.json-simplify-47
698×rational.json-5
696×exponential.json-3
696×rational.json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01335
111735
239635
3150535
4612935
Stop Event
1×node limit
Counts
1 → 9
Calls
Call 1
Inputs
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (/.f64 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))

simplify231.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
1398×rational.json-simplify-43
962×rational.json-simplify-1
944×rational.json-simplify-104
928×rational.json-simplify-79
892×rational.json-simplify-47
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0791507
11701507
22891487
35241381
411531357
535331333
651581333
766551333
Stop Event
1×node limit
Counts
33 → 56
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 re 3) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 1/2 (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 re 3) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (+.f64 (*.f64 1/2 (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 1/240 (*.f64 (pow.f64 re 5) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))
(+.f64 (*.f64 -1/10080 (*.f64 (pow.f64 re 7) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (+.f64 (*.f64 -1/12 (*.f64 (pow.f64 re 3) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (+.f64 (*.f64 1/2 (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 1/240 (*.f64 (pow.f64 re 5) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(sin.f64 re)
(+.f64 (sin.f64 re) (*.f64 1/2 (*.f64 (sin.f64 re) (pow.f64 im 2))))
(+.f64 (sin.f64 re) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 re) (pow.f64 im 2))) (*.f64 1/24 (*.f64 (sin.f64 re) (pow.f64 im 4)))))
(+.f64 (sin.f64 re) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 re) (pow.f64 im 2))) (+.f64 (*.f64 1/720 (*.f64 (sin.f64 re) (pow.f64 im 6))) (*.f64 1/24 (*.f64 (sin.f64 re) (pow.f64 im 4))))))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(+.f64 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 0)
(+.f64 0 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(-.f64 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 0)
(-.f64 0 (neg.f64 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) 1)
(/.f64 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 1)
(/.f64 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (/.f64 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(pow.f64 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 1)
(neg.f64 (neg.f64 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
Outputs
(*.f64 1/2 (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 re 1/2))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 re))
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 re 3) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 1/2 (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
(+.f64 (*.f64 1/2 (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 -1/12 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 3))))
(+.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 re 1/2)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re 3) -1/12)))
(+.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 re)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 -1/12 (pow.f64 re 3))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (*.f64 1/2 re) (*.f64 -1/12 (pow.f64 re 3))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (*.f64 -1/12 (pow.f64 re 3)) (*.f64 1/2 re)))
(+.f64 (*.f64 -1/12 (*.f64 (pow.f64 re 3) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (+.f64 (*.f64 1/2 (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 1/240 (*.f64 (pow.f64 re 5) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))
(+.f64 (*.f64 1/2 (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (+.f64 (*.f64 1/240 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 5))) (*.f64 -1/12 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 3)))))
(+.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re 5) 1/240)) (+.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 re 1/2)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re 3) -1/12))))
(+.f64 (+.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 re)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 -1/12 (pow.f64 re 3)))) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/240 (pow.f64 re 5))))
(+.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (*.f64 1/2 re) (*.f64 -1/12 (pow.f64 re 3)))) (*.f64 1/240 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 5))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (*.f64 1/240 (pow.f64 re 5)) (+.f64 (*.f64 -1/12 (pow.f64 re 3)) (*.f64 1/2 re))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (*.f64 1/2 re) (+.f64 (*.f64 1/240 (pow.f64 re 5)) (*.f64 -1/12 (pow.f64 re 3)))))
(+.f64 (*.f64 -1/10080 (*.f64 (pow.f64 re 7) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (+.f64 (*.f64 -1/12 (*.f64 (pow.f64 re 3) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (+.f64 (*.f64 1/2 (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 1/240 (*.f64 (pow.f64 re 5) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(+.f64 (*.f64 -1/12 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 3))) (+.f64 (+.f64 (*.f64 1/2 (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 1/240 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 5)))) (*.f64 -1/10080 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 7)))))
(+.f64 (+.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 re 1/2)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re 5) 1/240))) (+.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re 7) -1/10080)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re 3) -1/12))))
(+.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/240 (pow.f64 re 5))) (+.f64 (+.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 re)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 -1/12 (pow.f64 re 3)))) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 -1/10080 (pow.f64 re 7)))))
(+.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (*.f64 1/240 (pow.f64 re 5)) (*.f64 -1/12 (pow.f64 re 3)))) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (*.f64 -1/10080 (pow.f64 re 7)) (*.f64 1/2 re))))
(+.f64 (*.f64 1/2 (*.f64 re (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (*.f64 -1/12 (pow.f64 re 3)) (+.f64 (*.f64 1/240 (pow.f64 re 5)) (*.f64 -1/10080 (pow.f64 re 7))))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (+.f64 (*.f64 1/240 (pow.f64 re 5)) (*.f64 1/2 re)) (+.f64 (*.f64 -1/12 (pow.f64 re 3)) (*.f64 -1/10080 (pow.f64 re 7)))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (+.f64 (*.f64 -1/12 (pow.f64 re 3)) (*.f64 -1/10080 (pow.f64 re 7))) (+.f64 (*.f64 1/240 (pow.f64 re 5)) (*.f64 1/2 re))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (*.f64 -1/10080 (pow.f64 re 7)) (+.f64 (*.f64 1/2 re) (+.f64 (*.f64 1/240 (pow.f64 re 5)) (*.f64 -1/12 (pow.f64 re 3))))))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re)))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re)))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re)))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re)))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re)))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re)))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re)))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re)))
(sin.f64 re)
(+.f64 (sin.f64 re) (*.f64 1/2 (*.f64 (sin.f64 re) (pow.f64 im 2))))
(+.f64 (sin.f64 re) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 re) (pow.f64 im 2))) (*.f64 1/24 (*.f64 (sin.f64 re) (pow.f64 im 4)))))
(+.f64 (sin.f64 re) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 re) (pow.f64 im 2))) (*.f64 (sin.f64 re) (*.f64 (pow.f64 im 4) 1/24))))
(+.f64 (sin.f64 re) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 re) (pow.f64 im 2))) (*.f64 (sin.f64 re) (*.f64 1/24 (pow.f64 im 4)))))
(+.f64 (sin.f64 re) (*.f64 (sin.f64 re) (+.f64 (*.f64 1/24 (pow.f64 im 4)) (*.f64 1/2 (pow.f64 im 2)))))
(+.f64 (sin.f64 re) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 re) (pow.f64 im 2))) (+.f64 (*.f64 1/720 (*.f64 (sin.f64 re) (pow.f64 im 6))) (*.f64 1/24 (*.f64 (sin.f64 re) (pow.f64 im 4))))))
(+.f64 (sin.f64 re) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 re) (pow.f64 im 2))) (+.f64 (*.f64 (sin.f64 re) (*.f64 (pow.f64 im 4) 1/24)) (*.f64 (sin.f64 re) (*.f64 (pow.f64 im 6) 1/720)))))
(+.f64 (sin.f64 re) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 re) (pow.f64 im 2))) (+.f64 (*.f64 (sin.f64 re) (*.f64 1/24 (pow.f64 im 4))) (*.f64 (sin.f64 re) (*.f64 1/720 (pow.f64 im 6))))))
(+.f64 (*.f64 (sin.f64 re) (+.f64 (*.f64 1/24 (pow.f64 im 4)) (*.f64 1/2 (pow.f64 im 2)))) (+.f64 (*.f64 (sin.f64 re) (*.f64 1/720 (pow.f64 im 6))) (sin.f64 re)))
(+.f64 (sin.f64 re) (*.f64 (sin.f64 re) (+.f64 (*.f64 1/2 (pow.f64 im 2)) (+.f64 (*.f64 1/24 (pow.f64 im 4)) (*.f64 1/720 (pow.f64 im 6))))))
(+.f64 (sin.f64 re) (*.f64 (sin.f64 re) (+.f64 (*.f64 1/720 (pow.f64 im 6)) (+.f64 (*.f64 1/24 (pow.f64 im 4)) (*.f64 1/2 (pow.f64 im 2))))))
(+.f64 (sin.f64 re) (*.f64 (sin.f64 re) (+.f64 (*.f64 1/24 (pow.f64 im 4)) (+.f64 (*.f64 1/2 (pow.f64 im 2)) (*.f64 1/720 (pow.f64 im 6))))))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re)))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re)))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re)))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re)))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re)))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re)))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re)))
(*.f64 1/2 (*.f64 (sin.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re)))
(+.f64 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 0)
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re)))
(+.f64 0 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re)))
(-.f64 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 0)
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re)))
(-.f64 0 (neg.f64 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re)))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) 1)
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re)))
(/.f64 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 1)
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re)))
(/.f64 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (/.f64 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(/.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re))) (/.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re))))
(/.f64 (*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re))) (/.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re))))
(*.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (sin.f64 re) (sin.f64 re)))) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re))))
(*.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re))) (/.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re))) (/.f64 (sin.f64 re) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))))
(pow.f64 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 1)
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re)))
(neg.f64 (neg.f64 (*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (sin.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (sin.f64 re)))

eval33.0ms (0.3%)

Compiler

Compiled 1335 to 601 computations (55% saved)

prune20.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New54256
Fresh000
Picked011
Done000
Total54357
Error
0.0b
Counts
57 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.2b
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 re 1/2))
✓0.0b
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶1.3b
(sin.f64 re)
Compiler

Compiled 29 to 22 computations (24.1% saved)

localize6.0ms (0.1%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize20.0ms (0.2%)

Compiler

Compiled 31 to 12 computations (61.3% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Error
0.0b
Counts
3 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
✓29.2b
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 re 1/2))
✓0.0b
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓1.3b
(sin.f64 re)
Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes56.0ms (0.5%)

Counts
4 → 1
Calls
Call 1
Inputs
(sin.f64 re)
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 re 1/2))
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
Outputs
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Calls

6 calls:

11.0ms
im
10.0ms
(+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))
8.0ms
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
8.0ms
(*.f64 1/2 (sin.f64 re))
8.0ms
re
Results
ErrorSegmentsBranch
0.0b1re
0.0b1im
0.0b1(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
0.0b1(*.f64 1/2 (sin.f64 re))
0.0b1(sin.f64 re)
0.0b1(+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))
Compiler

Compiled 76 to 51 computations (32.9% saved)

regimes55.0ms (0.5%)

Accuracy

Total -30.3b remaining (-25125.6%)

Threshold costs -30.3b (-25125.6%)

Counts
2 → 3
Calls
Call 1
Inputs
(sin.f64 re)
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 re 1/2))
Outputs
(sin.f64 re)
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 re 1/2))
(sin.f64 re)
Calls

3 calls:

28.0ms
(sin.f64 re)
20.0ms
re
6.0ms
im
Results
ErrorSegmentsBranch
0.1b3re
1.3b1im
0.1b3(sin.f64 re)
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.0522291234262175e-33
8.584043495242103e-32
0.0ms
-1.5676180844337612e-7
-9.594959381935869e-9
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025107
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(if (<=.f64 (sin.f64 re) -944473296573929/9444732965739290427392) (sin.f64 re) (if (<=.f64 (sin.f64 re) 7307508186654515/1461501637330902918203684832716283019655932542976) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 re 1/2)) (sin.f64 re)))
(sin.f64 re)
Outputs
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(if (<=.f64 (sin.f64 re) -944473296573929/9444732965739290427392) (sin.f64 re) (if (<=.f64 (sin.f64 re) 7307508186654515/1461501637330902918203684832716283019655932542976) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 re 1/2)) (sin.f64 re)))
(sin.f64 re)
Compiler

Compiled 43 to 29 computations (32.6% saved)

soundness173.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1390×rational.json-simplify-2
900×rational.json-simplify-1
878×trig.json-simplify-41
878×rational.json-simplify-46
832×rational.json-simplify-43
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01435
12235
23335
34235
44935
56035
610935
739435
878035
9248735
10714135
Stop Event
1×node limit
Compiler

Compiled 25 to 17 computations (32% saved)

end48.0ms (0.4%)

Compiler

Compiled 39 to 20 computations (48.7% saved)

Profiling

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