Details

Time bar (total: 6.1s)

analyze197.0ms (3.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%100%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
49.6%49.6%50.4%0%0%0%0%9
49.8%49.8%50.2%0%0%0%0%10
49.9%49.9%50.1%0%0%0%0%11
50%49.9%50%0%0%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample5.6s (92.1%)

Results
3.1s2097×body2048valid
1.7s3063×body1024valid
520.0ms1512×body512valid
221.0ms1473×body256valid
112.0ms110×body4096valid
2.0msbody8192valid
Bogosity

preprocess7.0ms (0.1%)

Algorithm
egg-herbie
Rules
26×rational.json-simplify-2
22×rational.json-simplify-9
20×rational.json-simplify-31
18×rational.json-simplify-27
12×rational.json-simplify-41
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11321
22321
33321
44321
55321
66521
77421
88121
98321
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
26×rational.json-simplify-2
22×rational.json-simplify-9
20×rational.json-simplify-31
18×rational.json-simplify-27
12×rational.json-simplify-41
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11321
22321
33321
44321
55321
66521
77421
88121
98321
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
31.9b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
31.9b
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
2.1b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 1 (cos.f64 x))
0.0ms
x
@inf
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
0.0ms
x
@-inf
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
0.0ms
x
@0
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
0.0ms
x
@0
(-.f64 1 (cos.f64 x))

rewrite7.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
42×rational.json-simplify-2
38×bool.json-1
32×rational.json-1
32×rational.json-2
30×rational.json-simplify-27
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
14332
28632
311932
415032
516232
Stop Event
saturated
Counts
2 → 18
Calls
Call 1
Inputs
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))

simplify19.0ms (0.3%)

Algorithm
egg-herbie
Rules
124×rational.json-simplify-1
76×rational.json-simplify-33
50×rational.json-simplify-2
26×rational.json-simplify-27
26×rational.json-simplify-40
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073584
1112584
2158584
3207584
4274584
5304584
6309584
7311584
8312584
Stop Event
saturated
Counts
26 → 32
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (+.f64 -1 (cos.f64 x)) -1)
(*.f64 -1 (+.f64 -1 (cos.f64 x)))
(neg.f64 (+.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(-.f64 0 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(*.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -1)
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
Outputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 6))) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 17/40320 (pow.f64 x 7)))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (-.f64 1 (cos.f64 x)) 0)
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 (+.f64 -1 (cos.f64 x)) -1)
(-.f64 1 (cos.f64 x))
(*.f64 -1 (+.f64 -1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(neg.f64 (+.f64 -1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(-.f64 0 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -1)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

eval8.0ms (0.1%)

Compiler

Compiled 365 to 241 computations (34% saved)

prune5.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New29332
Fresh000
Picked011
Done000
Total29433
Error
0.5b
Counts
33 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
31.9b
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
30.1b
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
30.1b
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
29.7b
(*.f64 1/2 x)
Compiler

Compiled 38 to 30 computations (21.1% saved)

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.f64 1/24 (pow.f64 x 3))
Compiler

Compiled 25 to 19 computations (24% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 1/24 (pow.f64 x 3))
0.0ms
x
@-inf
(*.f64 1/24 (pow.f64 x 3))
0.0ms
x
@inf
(*.f64 1/24 (pow.f64 x 3))

rewrite5.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
22×bool.json-1
16×rational.json-simplify-2
14×rational.json-1
14×rational.json-2
14×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
13313
25513
36013
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 1/24 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/24 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/24 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 3)))))))

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
rational.json-simplify-2
rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
11138
Stop Event
saturated
Counts
2 → 2
Calls
Call 1
Inputs
(+.f64 (*.f64 1/24 (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 1/24 (pow.f64 x 3)))
Outputs
(+.f64 (*.f64 1/24 (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/24 (pow.f64 x 3)) 0)

localize36.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 1/240 (pow.f64 x 5))
0.1b
(*.f64 1/24 (pow.f64 x 3))
Compiler

Compiled 52 to 41 computations (21.2% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 1/240 (pow.f64 x 5))
0.0ms
x
@inf
(*.f64 1/240 (pow.f64 x 5))
0.0ms
x
@-inf
(*.f64 1/240 (pow.f64 x 5))

rewrite48.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
22×bool.json-1
16×rational.json-simplify-2
14×rational.json-1
14×rational.json-2
14×rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
13313
25513
36013
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 1/240 (pow.f64 x 5))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/240 (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/240 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/240 (pow.f64 x 5)))))))

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
rational.json-simplify-2
rational.json-simplify-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
11138
Stop Event
saturated
Counts
2 → 2
Calls
Call 1
Inputs
(+.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(+.f64 0 (*.f64 1/240 (pow.f64 x 5)))
Outputs
(+.f64 (*.f64 1/240 (pow.f64 x 5)) 0)
(+.f64 0 (*.f64 1/240 (pow.f64 x 5)))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) 0)

eval2.0ms (0%)

Compiler

Compiled 91 to 75 computations (17.6% saved)

prune4.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New606
Fresh000
Picked011
Done033
Total6410
Error
0.5b
Counts
10 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
31.9b
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
30.1b
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
30.1b
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
29.7b
(*.f64 1/2 x)
Compiler

Compiled 38 to 30 computations (21.1% saved)

regimes19.0ms (0.3%)

Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Calls

2 calls:

10.0ms
x
7.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.5b3x
0.5b3(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 45 to 34 computations (24.4% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0025899229962994715
0.030484360826340668
0.0ms
-0.003948007939243009
0.0
Compiler

Compiled 12 to 9 computations (25% saved)

regimes18.0ms (0.3%)

Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Calls

2 calls:

9.0ms
x
7.0ms
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.5b3x
0.5b3(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.019311218879707e-5
0.0025899229962994715
0.0ms
-0.003948007939243009
0.0
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.7b remaining (-2.3%)

Threshold costs -0.7b (-2.3%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
Outputs
(*.f64 1/2 x)
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
29.7b1x
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035275
Stop Event
done
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1152921504606847/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 5764607523034235/1152921504606846976) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1152921504606847/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 7378697629483821/73786976294838206464) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 1/2 x)
Outputs
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1152921504606847/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 5764607523034235/1152921504606846976) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1152921504606847/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 7378697629483821/73786976294838206464) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))
(*.f64 1/2 x)
Compiler

Compiled 98 to 64 computations (34.7% saved)

soundness12.0ms (0.2%)

Algorithm
egg-herbie
Rules
124×rational.json-simplify-1
76×rational.json-simplify-33
50×rational.json-simplify-2
26×rational.json-simplify-27
26×rational.json-simplify-40
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073584
1112584
2158584
3207584
4274584
5304584
6309584
7311584
8312584
Stop Event
saturated
Compiler

Compiled 31 to 25 computations (19.4% saved)

end45.0ms (0.7%)

Compiler

Compiled 96 to 60 computations (37.5% saved)

Profiling

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