Details

Time bar (total: 7.1s)

analyze219.0ms (3.1%)

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
57.1%50%37.5%0.1%12.5%0%0%7
57.1%50%37.5%0.1%12.5%0%0%8
61.5%50%31.2%0.1%18.7%0%0%9
61.5%50%31.2%0.1%18.7%0%0%10
64%50%28.1%0.1%21.9%0%0%11
64%50%28.1%0.1%21.9%0%0%12
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample5.7s (79.5%)

Results
2.2s1977×body1024infinite
1.3s2101×body1024valid
926.0ms5104×body256valid
529.0ms1491×body256infinite
357.0ms1034×body512infinite
315.0ms1050×body512valid
1.0ms1×body2048valid
Bogosity

preprocess94.0ms (1.3%)

Algorithm
2×egg-herbie
Rules
1268×rational.json-simplify-46
896×rational.json-simplify-59
882×rational.json-simplify-35
868×rational.json-simplify-2
828×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02070
13970
26570
39570
415470
526670
661170
7150370
8253070
9382670
10588270
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 1/2 (cos.f64 im)) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)))
Outputs
(*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (*.f64 1/2 (cos.f64 im)) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)))
(*.f64 1/2 (*.f64 (cos.f64 im) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re))))
(*.f64 (cos.f64 im) (*.f64 1/2 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re))))
Compiler

Compiled 15 to 12 computations (20% saved)

simplify514.0ms (7.2%)

Algorithm
1×egg-herbie
Rules
2312×rational.json-simplify-35
1800×rational.json-simplify-2
1792×rational.json-simplify-1
1510×rational.json-simplify-52
780×rational.json-simplify-41
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01335
12535
24335
36335
49535
515135
631035
770035
8173835
9273635
10322035
11412935
12453235
13474435
14488235
15499835
16545935
17664535
18682335
19694935
20706335
21717735
22717735
23769435
24773935
25789035
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
(*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

eval1.0ms (0%)

Compiler

Compiled 24 to 13 computations (45.8% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 13 to 10 computations (23.1% saved)

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 35 to 13 computations (62.9% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite79.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1262×rational.json-simplify-35
1250×bool.json-1
1250×bool.json-2
1206×rational.json-1
1206×rational.json-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01335
113235
235535
379135
4174635
5418535
Stop Event
1×node limit
Counts
1 → 10
Calls
Call 1
Inputs
(*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (cos.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 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) 1/4)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 2)))) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 2))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))

simplify195.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
2174×rational.json-simplify-2
1708×rational.json-simplify-35
1076×rational.json-simplify-38
894×rational.json-simplify-1
706×rational.json-simplify-19
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0831450
11911450
23361358
35871300
412471276
525861276
636881276
738551276
840241276
942481276
1048251276
1175801276
Stop Event
1×node limit
Counts
34 → 46
Calls
Call 1
Inputs
(*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 -1/4 (*.f64 (pow.f64 re 2) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 re 2) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 1/48 (*.f64 (pow.f64 re 4) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))
(+.f64 (*.f64 -1/1440 (*.f64 (pow.f64 re 6) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (+.f64 (*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 re 2) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 1/48 (*.f64 (pow.f64 re 4) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(cos.f64 re)
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (*.f64 1/24 (*.f64 (cos.f64 re) (pow.f64 im 4)))))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (+.f64 (*.f64 1/24 (*.f64 (cos.f64 re) (pow.f64 im 4))) (*.f64 1/720 (*.f64 (cos.f64 re) (pow.f64 im 6))))))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(+.f64 (*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 0)
(+.f64 0 (*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(+.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) 1/4)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) 1/4)))
(-.f64 (*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 0)
(/.f64 (*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 1)
(/.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 2)
(/.f64 (*.f64 (cos.f64 re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 2)) 4)
(/.f64 (*.f64 2 (*.f64 (cos.f64 re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 2))) 8)
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 2)))) 16)
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 2)))) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 2))))) 32)
Outputs
(*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 -1/4 (*.f64 (pow.f64 re 2) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 -1/4 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 2))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re 2) -1/4)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 1/2 (*.f64 -1/4 (pow.f64 re 2))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 re 2) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 1/48 (*.f64 (pow.f64 re 4) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 2))) (*.f64 (pow.f64 re 4) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) 1/48))))
(+.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re 4) 1/48)) (+.f64 (*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re 2) -1/4))))
(+.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 1/2 (*.f64 -1/4 (pow.f64 re 2)))) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/48 (pow.f64 re 4))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (*.f64 1/48 (pow.f64 re 4)) (+.f64 1/2 (*.f64 -1/4 (pow.f64 re 2)))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 re 4)) (*.f64 -1/4 (pow.f64 re 2)))))
(+.f64 (*.f64 -1/1440 (*.f64 (pow.f64 re 6) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (+.f64 (*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 re 2) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (*.f64 1/48 (*.f64 (pow.f64 re 4) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))))
(+.f64 (*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (+.f64 (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 2))) (*.f64 (pow.f64 re 4) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) 1/48))) (*.f64 -1/1440 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (pow.f64 re 6)))))
(+.f64 (+.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re 2) -1/4)) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re 4) 1/48))) (+.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 (pow.f64 re 6) -1/1440)) (*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))))
(+.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/48 (pow.f64 re 4))) (+.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 1/2 (*.f64 -1/4 (pow.f64 re 2)))) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 -1/1440 (pow.f64 re 6)))))
(+.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 -1/4 (pow.f64 re 2))) (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (*.f64 -1/1440 (pow.f64 re 6)) (+.f64 1/2 (*.f64 1/48 (pow.f64 re 4))))))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (+.f64 (+.f64 1/2 (*.f64 -1/1440 (pow.f64 re 6))) (+.f64 (*.f64 1/48 (pow.f64 re 4)) (*.f64 -1/4 (pow.f64 re 2)))))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(cos.f64 re)
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 re) (pow.f64 im 2))) (cos.f64 re))
(+.f64 (cos.f64 re) (*.f64 1/2 (*.f64 (cos.f64 re) (pow.f64 im 2))))
(+.f64 (cos.f64 re) (*.f64 (cos.f64 re) (*.f64 1/2 (pow.f64 im 2))))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (*.f64 1/24 (*.f64 (cos.f64 re) (pow.f64 im 4)))))
(+.f64 (cos.f64 re) (+.f64 (*.f64 (cos.f64 re) (*.f64 (pow.f64 im 4) 1/24)) (*.f64 1/2 (*.f64 (cos.f64 re) (pow.f64 im 2)))))
(+.f64 (cos.f64 re) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 re) (pow.f64 im 2))) (*.f64 (cos.f64 re) (*.f64 1/24 (pow.f64 im 4)))))
(+.f64 (cos.f64 re) (*.f64 (cos.f64 re) (+.f64 (*.f64 1/24 (pow.f64 im 4)) (*.f64 1/2 (pow.f64 im 2)))))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (cos.f64 re) (+.f64 (*.f64 1/24 (*.f64 (cos.f64 re) (pow.f64 im 4))) (*.f64 1/720 (*.f64 (cos.f64 re) (pow.f64 im 6))))))
(+.f64 (cos.f64 re) (+.f64 (+.f64 (*.f64 (cos.f64 re) (*.f64 (pow.f64 im 4) 1/24)) (*.f64 (cos.f64 re) (*.f64 (pow.f64 im 6) 1/720))) (*.f64 1/2 (*.f64 (cos.f64 re) (pow.f64 im 2)))))
(+.f64 (cos.f64 re) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 re) (pow.f64 im 2))) (+.f64 (*.f64 (cos.f64 re) (*.f64 1/24 (pow.f64 im 4))) (*.f64 (cos.f64 re) (*.f64 1/720 (pow.f64 im 6))))))
(+.f64 (cos.f64 re) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 re) (pow.f64 im 2))) (*.f64 (cos.f64 re) (+.f64 (*.f64 1/720 (pow.f64 im 6)) (*.f64 1/24 (pow.f64 im 4))))))
(+.f64 (cos.f64 re) (*.f64 (cos.f64 re) (+.f64 (*.f64 1/2 (pow.f64 im 2)) (+.f64 (*.f64 1/720 (pow.f64 im 6)) (*.f64 1/24 (pow.f64 im 4))))))
(+.f64 (cos.f64 re) (*.f64 (cos.f64 re) (+.f64 (+.f64 (*.f64 1/24 (pow.f64 im 4)) (*.f64 1/2 (pow.f64 im 2))) (*.f64 1/720 (pow.f64 im 6)))))
(+.f64 (cos.f64 re) (*.f64 (cos.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 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(*.f64 1/2 (*.f64 (cos.f64 re) (+.f64 (exp.f64 im) (exp.f64 (*.f64 -1 im)))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(+.f64 (*.f64 (*.f64 1/2 (cos.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))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(+.f64 0 (*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(+.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) 1/4)) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (cos.f64 re) 1/4)))
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(-.f64 (*.f64 (*.f64 1/2 (cos.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))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(/.f64 (*.f64 (*.f64 1/2 (cos.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))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(/.f64 (*.f64 (cos.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 2)
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(/.f64 (*.f64 (cos.f64 re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 2)) 4)
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(/.f64 (*.f64 2 (*.f64 (cos.f64 re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 2))) 8)
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 2)))) 16)
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 2)))) (*.f64 2 (*.f64 2 (*.f64 (cos.f64 re) (*.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 2))))) 32)
(*.f64 1/2 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)))
(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (*.f64 1/2 (cos.f64 re)))

eval13.0ms (0.2%)

Compiler

Compiled 999 to 502 computations (49.7% saved)

prune7.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New44246
Fresh000
Picked011
Done000
Total44347
Error
0.0b
Counts
47 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶30.8b
(*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
▶0.6b
(cos.f64 re)
Compiler

Compiled 27 to 21 computations (22.2% saved)

localize7.0ms (0.1%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize8.0ms (0.1%)

Compiler

Compiled 25 to 9 computations (64% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (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
✓0.0b
(*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓30.8b
(*.f64 1/2 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
✓0.6b
(cos.f64 re)
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes22.0ms (0.3%)

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

6 calls:

7.0ms
(*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
3.0ms
re
3.0ms
im
3.0ms
(*.f64 1/2 (cos.f64 re))
3.0ms
(cos.f64 re)
Results
ErrorSegmentsBranch
0.0b1re
0.0b1im
0.0b1(*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.0b1(*.f64 1/2 (cos.f64 re))
0.0b1(cos.f64 re)
0.0b1(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 60 to 41 computations (31.7% saved)

regimes259.0ms (3.6%)

Accuracy

Total -30.6b remaining (-4797.9%)

Threshold costs -30.6b (-4797.9%)

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

3 calls:

253.0ms
im
3.0ms
re
3.0ms
(cos.f64 re)
Results
ErrorSegmentsBranch
0.6b1re
0.6b1im
0.6b1(cos.f64 re)
Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01340
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(cos.f64 re)
Outputs
(*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(cos.f64 re)
Compiler

Compiled 17 to 13 computations (23.5% saved)

soundness0.0ms (0%)

end19.0ms (0.3%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

Profiling

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