Details

Time bar (total: 11.9s)

analyze182.0ms (1.5%)

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
50%50%50%0%0%0%0%3
50%50%50%0%0%0%0%4
50%50%50%0%0%0%0%5
50%50%50%0%0%0%0%6
50%50%50%0%0%0%0%7
50%50%50%0%0%0%0%8
50%50%50%0%0%0%0%9
50%50%50%0%0%0%0%10
50%50%50%0%0%0%0%11
50%50%50%0%0%0%0%12
Compiler

Compiled 17 to 9 computations (47.1% saved)

sample1.4s (11.7%)

Results
603.0ms2047×body1024valid
563.0ms5159×body256valid
212.0ms1045×body512valid
2.0msbody2048valid
Bogosity

preprocess210.0ms (1.8%)

Algorithm
egg-herbie
Rules
1204×rational_best_oopsla_all_46_json_45_simplify-10
1162×rational_best_oopsla_all_46_json_45_simplify-89
1040×rational_best_oopsla_all_46_json_45_simplify-74
836×rational_best_oopsla_all_46_json_45_simplify-72
806×rational_best_oopsla_all_46_json_45_simplify-30
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01047
11647
23347
38747
434347
5151947
6516347
7717147
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
Outputs
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
Compiler

Compiled 17 to 9 computations (47.1% saved)

simplify216.0ms (1.8%)

Algorithm
egg-herbie
Rules
1204×rational_best_oopsla_all_46_json_45_simplify-10
1162×rational_best_oopsla_all_46_json_45_simplify-89
1040×rational_best_oopsla_all_46_json_45_simplify-74
836×rational_best_oopsla_all_46_json_45_simplify-72
806×rational_best_oopsla_all_46_json_45_simplify-30
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01047
11647
23347
38747
434347
5151947
6516347
7717147
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
Outputs
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

eval0.0ms (0%)

Compiler

Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.3b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
Compiler

Compiled 16 to 8 computations (50% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.1b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.1b
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 39 to 13 computations (66.7% saved)

series4.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite97.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1142×rational_best_oopsla_all_46_json-2
1142×rational_best_oopsla_all_46_json-1
1142×rational_best_oopsla_all_46_json-4
1142×rational_best_oopsla_all_46_json-3
1136×rational_best_oopsla_all_46_json_45_simplify-89
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010104
157104
2150104
3532104
42376104
Stop Event
node limit
Counts
4 → 171
Calls
Call 1
Inputs
(*.f64 (tan.f64 x) (tan.f64 x))
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
Outputs
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simplify90.0ms (0.8%)

Algorithm
egg-herbie
Rules
1478×rational_best_oopsla_all_46_json_45_simplify-23
1462×rational_best_oopsla_all_46_json_45_simplify-89
1154×rational_best_oopsla_all_46_json_45_simplify-24
1124×rational_best_oopsla_all_46_json_45_simplify-74
786×rational_best_oopsla_all_46_json_45_simplify-13
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03696621
115596605
Stop Event
node limit
Counts
219 → 220
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -1 (pow.f64 x 2))))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
1
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(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
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(neg.f64 (neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))
(-.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)
(-.f64 1 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))
(-.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 0)
(-.f64 0 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
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(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))
(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (*.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))
(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 (*.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))
(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (*.f64 (*.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))) (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (*.f64 (*.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (*.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))) (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 -1 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))
(*.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 1 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(*.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 (*.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(*.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 1 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(*.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))
(*.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))))
(*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) -1)
(*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 -1 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (neg.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (*.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))
(*.f64 (*.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))
(*.f64 (/.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))
(*.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))
(*.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 1 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (neg.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (neg.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(*.f64 (*.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) 1)
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))
(neg.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
Outputs
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
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(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
(neg.f64 (-.f64 -1 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))

eval95.0ms (0.8%)

Compiler

Compiled 9909 to 3796 computations (61.7% saved)

prune50.0ms (0.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New27012282
Fresh000
Picked011
Done000
Total27013283
Error
0.2b
Counts
283 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
29.3b
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.3b
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
0.4b
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.3b
(/.f64 (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
28.6b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) 1))
0.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))))
0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (fabs.f64 (*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x)))))))
0.3b
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
26.6b
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
29.3b
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
0.3b
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))
Compiler

Compiled 556 to 330 computations (40.6% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
0.2b
(*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))
13.6b
(*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 112 to 39 computations (65.2% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x)))
0.0ms
x
@inf
(*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))
0.0ms
x
@-inf
(*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x)))
0.0ms
x
@-inf
(*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))
0.0ms
x
@inf
(*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x)))

rewrite93.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
2048×rational_best_oopsla_all_46_json-2
2048×rational_best_oopsla_all_46_json-1
888×rational_best_oopsla_all_46_json_45_simplify-13
756×rational_best_oopsla_all_46_json_45_simplify-89
732×rational_best_oopsla_all_46_json_45_simplify-23
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01173
17973
229673
3163647
4655347
Stop Event
node limit
Counts
3 → 124
Calls
Call 1
Inputs
(*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x)))
(*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))
(*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x))))
Outputs
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simplify115.0ms (1%)

Algorithm
egg-herbie
Rules
1242×rational_best_oopsla_all_46_json_45_simplify-37
870×rational_best_oopsla_all_46_json_45_simplify-10
846×rational_best_oopsla_all_46_json_45_simplify-30
526×rational_best_oopsla_all_46_json_45_simplify-35
492×rational_best_oopsla_all_46_json_45_simplify-49
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02113978
16403904
221373886
356503886
Stop Event
node limit
Counts
160 → 128
Calls
Call 1
Inputs
(*.f64 -1 x)
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(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -2/15 (pow.f64 x 5))))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -2/15 (pow.f64 x 5)))))
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 -1 (pow.f64 x 2))
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(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
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(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
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(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
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(/.f64 (neg.f64 (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (neg.f64 (tan.f64 x)) (/.f64 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))))
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(/.f64 (neg.f64 (tan.f64 x)) (/.f64 (/.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))
(neg.f64 (tan.f64 x))
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(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (neg.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (tan.f64 x))) (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (tan.f64 x)))))
(/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)
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(-.f64 (*.f64 (/.f64 0 (tan.f64 x)) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 (*.f64 0 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (tan.f64 x)))) (*.f64 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (tan.f64 x))) (neg.f64 (tan.f64 x))))
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(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) 1)
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (tan.f64 x))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (neg.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (tan.f64 x))) (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (tan.f64 x)))))
(/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)
(neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))
Outputs
(*.f64 -1 x)
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(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))
(neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (/.f64 -1 (tan.f64 x))) (*.f64 (tan.f64 x) (/.f64 -1 (tan.f64 x)))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (/.f64 -1 (tan.f64 x))) (*.f64 (tan.f64 x) (/.f64 -1 (tan.f64 x)))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (tan.f64 x))))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x))) (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x)))))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x))) (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x)))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (neg.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (neg.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (tan.f64 x))) (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (tan.f64 x)))))
(*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))
(neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)
(*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))
(neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))
(neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -2 (pow.f64 x 2))
Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 -2 (pow.f64 x 2))
0.0ms
x
@inf
(*.f64 -2 (pow.f64 x 2))
0.0ms
x
@-inf
(*.f64 -2 (pow.f64 x 2))

rewrite87.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
948×rational_best_oopsla_all_46_json_45_simplify-23
918×rational_best_oopsla_all_46_json_45_simplify-35
900×rational_best_oopsla_all_46_json_45_simplify-37
882×rational_best_oopsla_all_46_json_45_simplify-13
610×rational_best_oopsla_all_46_json_45_simplify-89
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
13913
28513
326013
4125313
5663913
Stop Event
node limit
Counts
1 → 34
Calls
Call 1
Inputs
(*.f64 -2 (pow.f64 x 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 -2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 -2 (pow.f64 x 2)))) (*.f64 -2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (*.f64 -2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (*.f64 -2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (*.f64 -2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -2 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -2 (pow.f64 x 2)) (-.f64 0 (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -2 (pow.f64 x 2)) (-.f64 0 (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (pow.f64 x 2)) (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (pow.f64 x 2)) (-.f64 (pow.f64 x 2) (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (pow.f64 x 2)) (-.f64 (pow.f64 x 2) (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 -2 (pow.f64 x 2)))) (*.f64 (*.f64 (pow.f64 x 2) (/.f64 -2 (pow.f64 x 2))) (neg.f64 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (*.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (*.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (neg.f64 (pow.f64 x 2))) (-.f64 (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (neg.f64 (pow.f64 x 2))) (-.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (pow.f64 x 2)) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 x 2) (/.f64 -2 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) (/.f64 -2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (pow.f64 x 2)) (/.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 2 (pow.f64 x 2)))))))

simplify64.0ms (0.5%)

Algorithm
egg-herbie
Rules
1184×rational_best_oopsla_all_46_json_45_simplify-13
1126×rational_best_oopsla_all_46_json_45_simplify-49
1006×rational_best_oopsla_all_46_json_45_simplify-72
894×rational_best_oopsla_all_46_json_45_simplify-7
618×rational_best_oopsla_all_46_json_45_simplify-89
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075502
1201502
2754502
33285502
Stop Event
node limit
Counts
34 → 36
Calls
Call 1
Inputs
(+.f64 (*.f64 -2 (pow.f64 x 2)) 0)
(+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 -2 (pow.f64 x 2)))))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(+.f64 0 (*.f64 -2 (pow.f64 x 2)))
(+.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2)))
(+.f64 (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 -2 (pow.f64 x 2)))) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (*.f64 -2 (pow.f64 x 2)))
(-.f64 (*.f64 -2 (pow.f64 x 2)) 0)
(-.f64 (*.f64 -2 (pow.f64 x 2)) (-.f64 0 (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))))))
(-.f64 (*.f64 -2 (pow.f64 x 2)) (-.f64 0 (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(-.f64 0 (*.f64 2 (pow.f64 x 2)))
(-.f64 0 (-.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))))))
(-.f64 0 (-.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(-.f64 (neg.f64 (pow.f64 x 2)) (pow.f64 x 2))
(-.f64 (neg.f64 (pow.f64 x 2)) (-.f64 (pow.f64 x 2) (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))))))
(-.f64 (neg.f64 (pow.f64 x 2)) (-.f64 (pow.f64 x 2) (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(-.f64 (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 -2 (pow.f64 x 2)))) (*.f64 (*.f64 (pow.f64 x 2) (/.f64 -2 (pow.f64 x 2))) (neg.f64 (pow.f64 x 2))))
(-.f64 (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (pow.f64 x 2)))
(-.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (*.f64 2 (pow.f64 x 2)))
(-.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (*.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2))))
(-.f64 (*.f64 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (neg.f64 (pow.f64 x 2))) (-.f64 (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2))))
(-.f64 (*.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (neg.f64 (pow.f64 x 2))) (-.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2))))
(/.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(/.f64 (*.f64 -2 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(/.f64 (*.f64 -2 (pow.f64 x 2)) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(/.f64 (*.f64 -2 (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))))
(/.f64 (*.f64 -2 (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 x 2) (/.f64 -2 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) (/.f64 -2 (pow.f64 x 2)))))
(/.f64 (*.f64 -2 (pow.f64 x 2)) (/.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(/.f64 (*.f64 2 (pow.f64 x 2)) -1)
(neg.f64 (*.f64 2 (pow.f64 x 2)))
Outputs
(+.f64 (*.f64 -2 (pow.f64 x 2)) 0)
(*.f64 -2 (pow.f64 x 2))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 -2 (pow.f64 x 2)))))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(*.f64 -2 (pow.f64 x 2))
(+.f64 0 (*.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 -2 (pow.f64 x 2)))) (*.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (*.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (*.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(+.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (*.f64 -2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(-.f64 (*.f64 -2 (pow.f64 x 2)) 0)
(*.f64 -2 (pow.f64 x 2))
(-.f64 (*.f64 -2 (pow.f64 x 2)) (-.f64 0 (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))))))
(*.f64 -2 (pow.f64 x 2))
(-.f64 (*.f64 -2 (pow.f64 x 2)) (-.f64 0 (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(*.f64 -2 (pow.f64 x 2))
(-.f64 0 (*.f64 2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(-.f64 0 (-.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))))))
(*.f64 -2 (pow.f64 x 2))
(-.f64 0 (-.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(*.f64 -2 (pow.f64 x 2))
(-.f64 (neg.f64 (pow.f64 x 2)) (pow.f64 x 2))
(*.f64 -2 (pow.f64 x 2))
(-.f64 (neg.f64 (pow.f64 x 2)) (-.f64 (pow.f64 x 2) (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))))))
(*.f64 -2 (pow.f64 x 2))
(-.f64 (neg.f64 (pow.f64 x 2)) (-.f64 (pow.f64 x 2) (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(*.f64 -2 (pow.f64 x 2))
(-.f64 (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 -2 (pow.f64 x 2)))) (*.f64 (*.f64 (pow.f64 x 2) (/.f64 -2 (pow.f64 x 2))) (neg.f64 (pow.f64 x 2))))
(*.f64 -2 (pow.f64 x 2))
(-.f64 (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(-.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (*.f64 2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(-.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (*.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2))))
(*.f64 -2 (pow.f64 x 2))
(-.f64 (*.f64 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (neg.f64 (pow.f64 x 2))) (-.f64 (*.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2))))
(*.f64 -2 (pow.f64 x 2))
(-.f64 (*.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (neg.f64 (pow.f64 x 2))) (-.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2))))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 -2 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 -2 (pow.f64 x 2)) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 -2 (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))))
(/.f64 (*.f64 -2 (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 x 2) (/.f64 -1 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) (/.f64 -1 (pow.f64 x 2)))))
(/.f64 (*.f64 -2 (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 x 2) (/.f64 -2 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) (/.f64 -2 (pow.f64 x 2)))))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 -2 (pow.f64 x 2)) (/.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(*.f64 -2 (pow.f64 x 2))
(/.f64 (*.f64 2 (pow.f64 x 2)) -1)
(*.f64 -2 (pow.f64 x 2))
(neg.f64 (*.f64 2 (pow.f64 x 2)))
(*.f64 -2 (pow.f64 x 2))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) 1))
0.1b
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 39 to 20 computations (48.7% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) 1))
0.0ms
x
@-inf
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) 1))
0.0ms
x
@0
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) 1))

rewrite63.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1246×rational_best_oopsla_all_46_json-2
1246×rational_best_oopsla_all_46_json-1
1246×rational_best_oopsla_all_46_json-4
1246×rational_best_oopsla_all_46_json-3
880×rational_best_oopsla_all_46_json_45_simplify-72
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01239
16939
217039
358239
4255839
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) 1))
Outputs
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simplify72.0ms (0.6%)

Algorithm
egg-herbie
Rules
1624×rational_best_oopsla_all_46_json_45_simplify-37
1548×rational_best_oopsla_all_46_json_45_simplify-89
1366×rational_best_oopsla_all_46_json_45_simplify-74
1146×rational_best_oopsla_all_46_json_45_simplify-13
1018×rational_best_oopsla_all_46_json_45_simplify-24
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01252575
13852575
222492575
Stop Event
node limit
Counts
45 → 51
Calls
Call 1
Inputs
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 4/3 (pow.f64 x 4))))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 4/3 (pow.f64 x 4)) (*.f64 -77/45 (pow.f64 x 6)))))
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(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))) (*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (*.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))) (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))) (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))))
(*.f64 -1 (neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))))
(*.f64 -1 (*.f64 1 (neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))))
(*.f64 -1 (*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))) (neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))) (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))))))
(*.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))) -1)
(*.f64 (neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))) (neg.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))
(*.f64 (neg.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))) (neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))))
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))))
Outputs
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 4/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 4/3 (pow.f64 x 4))))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 4/3 (pow.f64 x 4)) (*.f64 -77/45 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 4/3 (pow.f64 x 4)) (*.f64 -77/45 (pow.f64 x 6)))))
(+.f64 (+.f64 1 (*.f64 -2 (pow.f64 x 2))) (+.f64 (*.f64 4/3 (pow.f64 x 4)) (*.f64 -77/45 (pow.f64 x 6))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))))
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(-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 6))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))))))
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(*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))) (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))
(*.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))) -1)
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))) (neg.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))
(*.f64 (neg.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2))))) (neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (pow.f64 x 2)))

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
0.2b
(pow.f64 (cos.f64 x) 2)
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
0.2b
(pow.f64 (sin.f64 x) 2)
Compiler

Compiled 69 to 35 computations (49.3% saved)

series5.0ms (0%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(pow.f64 (sin.f64 x) 2)
1.0ms
x
@-inf
(pow.f64 (sin.f64 x) 2)
0.0ms
x
@-inf
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
0.0ms
x
@inf
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
0.0ms
x
@inf
(pow.f64 (sin.f64 x) 2)

rewrite74.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1368×rational_best_oopsla_all_46_json_45_simplify-23
1278×rational_best_oopsla_all_46_json_45_simplify-13
1260×rational_best_oopsla_all_46_json_45_simplify-37
936×rational_best_oopsla_all_46_json-2
936×rational_best_oopsla_all_46_json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01049
15249
211449
336549
4170449
Stop Event
node limit
Counts
3 → 143
Calls
Call 1
Inputs
(pow.f64 (sin.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
Outputs
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simplify104.0ms (0.9%)

Algorithm
egg-herbie
Rules
1302×rational_best_oopsla_all_46_json_45_simplify-23
876×rational_best_oopsla_all_46_json_45_simplify-89
836×rational_best_oopsla_all_46_json_45_simplify-35
792×rational_best_oopsla_all_46_json_45_simplify-76
732×rational_best_oopsla_all_46_json_45_simplify-24
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03002677
110852671
249992671
Stop Event
node limit
Counts
155 → 174
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (pow.f64 (sin.f64 x) 2) 0)
(+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 0))
(+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2))) 0))
(+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 0))
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(+.f64 (*.f64 0 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2)))) (pow.f64 (sin.f64 x) 2))
(+.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (sin.f64 x) 2))
(-.f64 (pow.f64 (sin.f64 x) 2) 0)
(-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 0))
(-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 0 (pow.f64 (sin.f64 x) 2))))
(-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2))) 0))
(-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 0))
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(-.f64 (*.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(-.f64 (*.f64 0 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (*.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2)))
(-.f64 (*.f64 0 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2)))) (*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2))) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(-.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2))))
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2)))))
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2))))
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2))))
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
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(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 0 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 0 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1)
(*.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (neg.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(*.f64 -1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(neg.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
Outputs
(pow.f64 x 2)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 4)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 2/45 (pow.f64 x 6))))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (pow.f64 x 2))))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 -1/315 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (*.f64 -1/315 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) -1))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) -1) (*.f64 (pow.f64 x 4) 1/3)))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/3)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) -1) (+.f64 (*.f64 (pow.f64 x 4) 1/3) (*.f64 (pow.f64 x 6) -2/45))))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 (pow.f64 x 4) 1/3) (*.f64 (pow.f64 x 6) -2/45))))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 2/3))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 (pow.f64 x 4) 2/3) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 17/45)))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 4) 2/3) (*.f64 (pow.f64 x 6) 17/45)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (*.f64 (pow.f64 x 4) 2/3) (+.f64 (*.f64 (pow.f64 x 6) 17/45) (+.f64 (*.f64 (pow.f64 x 8) 62/315) (pow.f64 x 2))))
(+.f64 (*.f64 (pow.f64 x 4) 2/3) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 8) 62/315) (*.f64 (pow.f64 x 6) 17/45))))
(+.f64 (*.f64 (pow.f64 x 4) 2/3) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 6) 17/45) (*.f64 (pow.f64 x 8) 62/315))))
(+.f64 (pow.f64 (sin.f64 x) 2) 0)
(pow.f64 (sin.f64 x) 2)
(+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 0))
(pow.f64 (sin.f64 x) 2)
(+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2))) 0))
(pow.f64 (sin.f64 x) 2)
(+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 0))
(pow.f64 (sin.f64 x) 2)
(+.f64 0 (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(+.f64 (*.f64 0 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2)))) (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(+.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(-.f64 (pow.f64 (sin.f64 x) 2) 0)
(pow.f64 (sin.f64 x) 2)
(-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 0))
(pow.f64 (sin.f64 x) 2)
(-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 0 (pow.f64 (sin.f64 x) 2))))
(pow.f64 (sin.f64 x) 2)
(-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2))) 0))
(pow.f64 (sin.f64 x) 2)
(-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) 0))
(pow.f64 (sin.f64 x) 2)
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(-.f64 (*.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(-.f64 (*.f64 0 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (*.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(-.f64 (*.f64 0 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2)))) (*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2))) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(pow.f64 (sin.f64 x) 2)
(-.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (neg.f64 (pow.f64 (sin.f64 x) 2))))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) 1)
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2))))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2)))))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2))))
(pow.f64 (sin.f64 x) 2)
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2))))
(pow.f64 (sin.f64 x) 2)
(*.f64 1 (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))
(pow.f64 (sin.f64 x) 2)
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(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 0))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) 0))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 0 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (*.f64 0 (neg.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (*.f64 0 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (*.f64 0 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(-.f64 (*.f64 0 (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 0 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 0 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) -1)
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (neg.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 -1 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(neg.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))))
0.1b
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.1b
(*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 90 to 37 computations (58.9% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))))
0.0ms
x
@-inf
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))))
0.0ms
x
@0
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))))
0.0ms
x
@0
(*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))
0.0ms
x
@-inf
(*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))

rewrite108.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
992×rational_best_oopsla_all_46_json_45_simplify-35
852×rational_best_oopsla_all_46_json_45_simplify-13
838×rational_best_oopsla_all_46_json_45_simplify-23
766×rational_best_oopsla_all_46_json_45_simplify-37
756×rational_best_oopsla_all_46_json_45_simplify-89
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01498
19298
232068
3152868
4676168
Stop Event
node limit
Counts
2 → 78
Calls
Call 1
Inputs
(*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))))
Outputs
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simplify73.0ms (0.6%)

Algorithm
egg-herbie
Rules
1714×rational_best_oopsla_all_46_json_45_simplify-89
1338×rational_best_oopsla_all_46_json_45_simplify-74
1184×rational_best_oopsla_all_46_json_45_simplify-24
892×rational_best_oopsla_all_46_json_45_simplify-37
890×rational_best_oopsla_all_46_json_45_simplify-13
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01723578
15223578
219863566
Stop Event
node limit
Counts
102 → 95
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
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(-.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 0))
(-.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) 0))
(-.f64 0 (*.f64 -1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) 1)
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
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(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
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Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
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(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (neg.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(neg.f64 (*.f64 -1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

eval379.0ms (3.2%)

Compiler

Compiled 31467 to 15202 computations (51.7% saved)

prune198.0ms (1.7%)

Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New9006906
Fresh167
Picked011
Done145
Total90217919
Error
0.2b
Counts
919 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
28.1b
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 (pow.f64 x 2) 1))
0.3b
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
0.4b
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.3b
(/.f64 (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
15.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 1))
0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))))
0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
20.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (fabs.f64 (*.f64 (tan.f64 x) (-.f64 (*.f64 0 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))) (*.f64 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))) (*.f64 (tan.f64 x) (tan.f64 x))))))))
0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (fabs.f64 (*.f64 (tan.f64 x) (*.f64 (-.f64 0 (*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 1 (tan.f64 x)))))))
0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (fabs.f64 (*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x)))))))
0.3b
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
28.9b
(/.f64 1 (+.f64 (pow.f64 x 2) 1))
26.6b
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
29.3b
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
0.3b
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))
26.8b
1
Compiler

Compiled 737 to 420 computations (43% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))
0.1b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))
0.1b
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 138 to 52 computations (62.3% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))
0.0ms
x
@inf
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))
0.0ms
x
@-inf
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))
0.0ms
x
@-inf
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))
0.0ms
x
@0
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))

rewrite148.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1406×rational_best_oopsla_all_46_json_45_simplify-76
1134×rational_best_oopsla_all_46_json_45_simplify-7
888×rational_best_oopsla_all_46_json_45_simplify-80
630×rational_best_oopsla_all_46_json_45_simplify-35
442×rational_best_oopsla_all_46_json_45_simplify-23
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012152
176152
2232152
3939152
44571152
Stop Event
node limit
Counts
2 → 170
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1))))
Outputs
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simplify246.0ms (2.1%)

Algorithm
egg-herbie
Rules
1400×rational_best_oopsla_all_46_json_45_simplify-89
1184×rational_best_oopsla_all_46_json_45_simplify-24
1110×rational_best_oopsla_all_46_json_45_simplify-74
612×rational_best_oopsla_all_46_json_45_simplify-93
520×rational_best_oopsla_all_46_json_45_simplify-72
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037020858
1147520814
2560218888
Stop Event
node limit
Counts
194 → 198
Calls
Call 1
Inputs
1
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Outputs
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 2/3 (pow.f64 x 4)) 1))
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(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 1 (*.f64 -4/45 (pow.f64 x 6)))))
(+.f64 (+.f64 1 (*.f64 -4/45 (pow.f64 x 6))) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -4/45 (pow.f64 x 6)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 2/3 (pow.f64 x 4)))))
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1
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(fabs.f64 (*.f64 (*.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))) (neg.f64 (fabs.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (*.f64 (*.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))) (fabs.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (*.f64 (*.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))) (neg.f64 (fabs.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (+.f64 (pow.f64 x 2) 1))
Compiler

Compiled 19 to 15 computations (21.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 1 (+.f64 (pow.f64 x 2) 1))
0.0ms
x
@0
(/.f64 1 (+.f64 (pow.f64 x 2) 1))
0.0ms
x
@-inf
(/.f64 1 (+.f64 (pow.f64 x 2) 1))

rewrite95.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1112×rational_best_oopsla_all_46_json_45_simplify-35
990×rational_best_oopsla_all_46_json_45_simplify-37
984×rational_best_oopsla_all_46_json_45_simplify-13
962×rational_best_oopsla_all_46_json_45_simplify-23
678×rational_best_oopsla_all_46_json_45_simplify-87
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
14419
28819
326119
4120319
5717019
Stop Event
node limit
Counts
1 → 59
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (pow.f64 x 2) 1))
Outputs
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simplify74.0ms (0.6%)

Algorithm
egg-herbie
Rules
1824×rational_best_oopsla_all_46_json_45_simplify-89
1484×rational_best_oopsla_all_46_json_45_simplify-74
1140×rational_best_oopsla_all_46_json_45_simplify-49
1056×rational_best_oopsla_all_46_json_45_simplify-24
1040×rational_best_oopsla_all_46_json_45_simplify-72
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01301541
14681533
226111533
Stop Event
node limit
Counts
71 → 78
Calls
Call 1
Inputs
1
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(*.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 (pow.f64 x 2)))) (*.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 (pow.f64 x 2)))))) (/.f64 1 (+.f64 1 (pow.f64 x 2))))
(*.f64 (neg.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 (pow.f64 x 2)))))) (neg.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2)))))
(*.f64 (neg.f64 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2))) (/.f64 1 (/.f64 1 (+.f64 1 (pow.f64 x 2)))))) (neg.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2)))))
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 (pow.f64 x 2)))))) (/.f64 1 (+.f64 1 (pow.f64 x 2))))
(neg.f64 (neg.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2)))))
Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 x 2)) (pow.f64 x 4)))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 4)))
(+.f64 (*.f64 -1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))))
(+.f64 (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))) (*.f64 -1 (pow.f64 x 6)))
(+.f64 (+.f64 (neg.f64 (pow.f64 x 2)) (pow.f64 x 4)) (+.f64 (neg.f64 (pow.f64 x 6)) 1))
(+.f64 1 (+.f64 (+.f64 (neg.f64 (pow.f64 x 2)) (pow.f64 x 4)) (neg.f64 (pow.f64 x 6))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 6)) (-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (-.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
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(/.f64 1 (pow.f64 x 2))
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(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
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(/.f64 1 (+.f64 1 (pow.f64 x 2)))
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(-.f64 0 (neg.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2)))))
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(-.f64 (*.f64 0 (*.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 (pow.f64 x 2)))))) (*.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 (pow.f64 x 2))))) (neg.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2))))))
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(/.f64 1 (+.f64 1 (pow.f64 x 2)))
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(/.f64 1 (+.f64 1 (pow.f64 x 2)))
(*.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 (pow.f64 x 2)))) (*.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 (pow.f64 x 2)))))) (/.f64 1 (+.f64 1 (pow.f64 x 2))))
(/.f64 1 (+.f64 1 (pow.f64 x 2)))
(*.f64 (neg.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 (pow.f64 x 2)))))) (neg.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2)))))
(/.f64 1 (+.f64 1 (pow.f64 x 2)))
(*.f64 (neg.f64 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2))) (/.f64 1 (/.f64 1 (+.f64 1 (pow.f64 x 2)))))) (neg.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2)))))
(/.f64 1 (+.f64 1 (pow.f64 x 2)))
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2))) (/.f64 1 (+.f64 1 (pow.f64 x 2)))))) (/.f64 1 (+.f64 1 (pow.f64 x 2))))
(/.f64 1 (+.f64 1 (pow.f64 x 2)))
(neg.f64 (neg.f64 (/.f64 1 (+.f64 1 (pow.f64 x 2)))))
(/.f64 1 (+.f64 1 (pow.f64 x 2)))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
14.9b
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 (pow.f64 x 2) 1))
Compiler

Compiled 28 to 22 computations (21.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 (pow.f64 x 2) 1))
0.0ms
x
@0
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 (pow.f64 x 2) 1))
0.0ms
x
@-inf
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 (pow.f64 x 2) 1))

rewrite58.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1196×rational_best_oopsla_all_46_json_45_simplify-13
1162×rational_best_oopsla_all_46_json_45_simplify-37
1110×rational_best_oopsla_all_46_json_45_simplify-23
758×rational_best_oopsla_all_46_json-2
758×rational_best_oopsla_all_46_json-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
14931
210131
331531
4142331
Stop Event
node limit
Counts
1 → 56
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 (pow.f64 x 2) 1))
Outputs
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simplify79.0ms (0.7%)

Algorithm
egg-herbie
Rules
1810×rational_best_oopsla_all_46_json_45_simplify-89
1476×rational_best_oopsla_all_46_json_45_simplify-74
1182×rational_best_oopsla_all_46_json_45_simplify-49
1082×rational_best_oopsla_all_46_json_45_simplify-24
972×rational_best_oopsla_all_46_json_45_simplify-72
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01372144
15292132
227832132
Stop Event
node limit
Counts
68 → 75
Calls
Call 1
Inputs
1
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(*.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (*.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (*.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))) (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (*.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))) (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))))
(*.f64 -1 (neg.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (*.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (+.f64 0 (*.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (*.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))) (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (*.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))) (/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))))
(*.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))
(*.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))) (*.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))) (*.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))))))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) -1)
(*.f64 (neg.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (neg.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (*.f64 (neg.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))) (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (*.f64 -1 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (-.f64 0 (*.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (-.f64 (/.f64 0 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (-.f64 0 (*.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))
(*.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))
(*.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))) (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))
(*.f64 (neg.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))) (neg.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))
(*.f64 (neg.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))) (*.f64 (neg.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (*.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))
(*.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (*.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))
(*.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))) (neg.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))
(*.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))) (neg.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))
Outputs
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 -2 (pow.f64 x 2)))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (*.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))))
(+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (*.f64 -2 (pow.f64 x 6)))))
(+.f64 (+.f64 1 (*.f64 -2 (pow.f64 x 2))) (+.f64 (*.f64 2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6))))
-1
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1)
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) -1)
(+.f64 -1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 4))))))
(-.f64 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 4)))))
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
-1
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1)
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) -1)
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(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 4))))))
(-.f64 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 4)))))
(-.f64 -1 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
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(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))
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(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (*.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))) 0))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (*.f64 (neg.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))) 0))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))
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(+.f64 (*.f64 0 (*.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))
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(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) 0)
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))
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(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (*.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))) 0))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (*.f64 (neg.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))) 0))
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(*.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))) (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))) (neg.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))
(*.f64 (neg.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))) (neg.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2))))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 2)))

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.1b
(-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))
0.1b
(*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 90 to 37 computations (58.9% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.0ms
x
@-inf
(/.f64 (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.0ms
x
@0
(-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))
0.0ms
x
@inf
(-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))
0.0ms
x
@0
(/.f64 (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

rewrite107.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
992×rational_best_oopsla_all_46_json_45_simplify-35
858×rational_best_oopsla_all_46_json_45_simplify-13
836×rational_best_oopsla_all_46_json_45_simplify-23
766×rational_best_oopsla_all_46_json_45_simplify-37
754×rational_best_oopsla_all_46_json_45_simplify-89
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
014128
192128
232068
3152368
4675268
Stop Event
node limit
Counts
2 → 62
Calls
Call 1
Inputs
(-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))))))
(/.f64 (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
Outputs
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simplify78.0ms (0.7%)

Algorithm
egg-herbie
Rules
990×rational_best_oopsla_all_46_json_45_simplify-108
866×rational_best_oopsla_all_46_json_45_simplify-72
802×rational_best_oopsla_all_46_json_45_simplify-49
732×rational_best_oopsla_all_46_json_45_simplify-7
556×rational_best_oopsla_all_46_json_45_simplify-82
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01463146
14913140
223133140
Stop Event
node limit
Counts
86 → 85
Calls
Call 1
Inputs
1
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Outputs
1
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1
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(neg.f64 (*.f64 -1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
0.1b
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.1b
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 108 to 42 computations (61.1% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.0ms
x
@-inf
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.0ms
x
@0
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.0ms
x
@0
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
0.0ms
x
@inf
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))

rewrite111.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1532×rational_best_oopsla_all_46_json_45_simplify-13
1162×rational_best_oopsla_all_46_json_45_simplify-23
784×rational_best_oopsla_all_46_json_45_simplify-89
736×rational_best_oopsla_all_46_json_45_simplify-37
672×rational_best_oopsla_all_46_json-2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013158
185100
2290100
31538100
Stop Event
node limit
Counts
2 → 161
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
Outputs
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simplify257.0ms (2.2%)

Algorithm
egg-herbie
Rules
1770×rational_best_oopsla_all_46_json_45_simplify-89
1438×rational_best_oopsla_all_46_json_45_simplify-24
1404×rational_best_oopsla_all_46_json_45_simplify-74
788×rational_best_oopsla_all_46_json_45_simplify-72
458×rational_best_oopsla_all_46_json_45_simplify-10
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040326249
1158624939
2601124745
Stop Event
node limit
Counts
185 → 304
Calls
Call 1
Inputs
1
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Outputs
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
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(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 -2 (pow.f64 x 2)) 1))
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1
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(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (/.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) -1)
(neg.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
(neg.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(neg.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
(neg.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
(fabs.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
(fabs.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))

eval1.2s (10.4%)

Compiler

Compiled 124854 to 52460 computations (58% saved)

prune643.0ms (5.4%)

Pruning

31 alts after pruning (23 fresh and 8 done)

PrunedKeptTotal
New2011162027
Fresh077
Picked011
Done279
Total2013312044
Error
0.1b
Counts
2044 → 31
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
0.4b
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.3b
(/.f64 (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
15.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 1))
0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))))
0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
20.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (fabs.f64 (*.f64 (tan.f64 x) (-.f64 (*.f64 0 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))) (*.f64 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))) (*.f64 (tan.f64 x) (tan.f64 x))))))))
0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (fabs.f64 (*.f64 (tan.f64 x) (*.f64 (-.f64 0 (*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 1 (tan.f64 x)))))))
0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (fabs.f64 (*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x)))))))
0.4b
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (tan.f64 x) (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (tan.f64 x))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.6b
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.3b
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.3b
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (fabs.f64 (*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x))))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.3b
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (tan.f64 x) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (tan.f64 x) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
26.6b
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
59.5b
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1)
29.3b
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
29.5b
(+.f64 1 (neg.f64 (pow.f64 x 2)))
0.5b
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))
0.4b
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))))
0.3b
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))
0.3b
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (*.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (fabs.f64 (/.f64 1 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))))
0.4b
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (*.f64 (*.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))
0.4b
(*.f64 (*.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))
0.4b
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))
26.8b
1
60.0b
-1
Compiler

Compiled 2386 to 1177 computations (50.7% saved)

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
0.1b
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.1b
(-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
Compiler

Compiled 231 to 95 computations (58.9% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.0ms
x
@-inf
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.0ms
x
@0
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.0ms
x
@inf
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
0.0ms
x
@0
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))

rewrite114.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1508×rational_best_oopsla_all_46_json_45_simplify-13
1152×rational_best_oopsla_all_46_json_45_simplify-23
808×rational_best_oopsla_all_46_json_45_simplify-89
742×rational_best_oopsla_all_46_json_45_simplify-37
682×rational_best_oopsla_all_46_json-2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016274
1108100
2414100
31617100
Stop Event
node limit
Counts
2 → 161
Calls
Call 1
Inputs
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(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
Outputs
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simplify253.0ms (2.1%)

Algorithm
egg-herbie
Rules
1750×rational_best_oopsla_all_46_json_45_simplify-89
1420×rational_best_oopsla_all_46_json_45_simplify-24
1384×rational_best_oopsla_all_46_json_45_simplify-74
754×rational_best_oopsla_all_46_json_45_simplify-72
448×rational_best_oopsla_all_46_json_45_simplify-10
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040225751
1156924245
2605024075
Stop Event
node limit
Counts
185 → 300
Calls
Call 1
Inputs
1
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(fabs.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
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Outputs
1
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
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1
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(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(-.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))))
(*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))
(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(-.f64 (*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))) (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(-.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (/.f64 -1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (neg.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))))) (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) 1)
(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (/.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (/.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (/.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (/.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))) (/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (/.f64 (*.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) (/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))) (*.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) (/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))))))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (/.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))))))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (/.f64 (*.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))) (*.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (/.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)))) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)) (/.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))))
(/.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))) (/.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) -1)
(neg.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(neg.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
(neg.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(neg.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 -1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
(fabs.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))
(fabs.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 -1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (*.f64 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1) (/.f64 1 (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1))))

localize7.0ms (0.1%)

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize45.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (tan.f64 x) (*.f64 (-.f64 0 (*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 1 (tan.f64 x))))
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
4.8b
(*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))
13.6b
(*.f64 (-.f64 0 (*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 1 (tan.f64 x)))
Compiler

Compiled 185 to 72 computations (61.1% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 (-.f64 0 (*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 1 (tan.f64 x)))
0.0ms
x
@0
(*.f64 (tan.f64 x) (*.f64 (-.f64 0 (*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 1 (tan.f64 x))))
0.0ms
x
@inf
(*.f64 (-.f64 0 (*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 1 (tan.f64 x)))
0.0ms
x
@-inf
(*.f64 (-.f64 0 (*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 1 (tan.f64 x)))
0.0ms
x
@-inf
(*.f64 (tan.f64 x) (*.f64 (-.f64 0 (*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 1 (tan.f64 x))))

rewrite117.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
926×rational_best_oopsla_all_46_json_45_simplify-23
918×rational_best_oopsla_all_46_json_45_simplify-13
876×rational_best_oopsla_all_46_json_45_simplify-89
748×rational_best_oopsla_all_46_json_45_simplify-37
636×rational_best_oopsla_all_46_json-2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
014173
1101167
239843
3231043
4742343
Stop Event
node limit
Counts
3 → 107
Calls
Call 1
Inputs
(*.f64 (-.f64 0 (*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 1 (tan.f64 x)))
(*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (tan.f64 x) (*.f64 (-.f64 0 (*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 1 (tan.f64 x))))
Outputs
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simplify76.0ms (0.6%)

Algorithm
egg-herbie
Rules
1872×rational_best_oopsla_all_46_json_45_simplify-89
1416×rational_best_oopsla_all_46_json_45_simplify-74
1338×rational_best_oopsla_all_46_json_45_simplify-24
512×rational_best_oopsla_all_46_json_45_simplify-72
472×rational_best_oopsla_all_46_json_45_simplify-23
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02454443
17054389
221554155
Stop Event
node limit
Counts
143 → 171
Calls
Call 1
Inputs
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(/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) -1)
(neg.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (*.f64 (tan.f64 x) (tan.f64 x)))
(fabs.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(fabs.f64 (*.f64 (tan.f64 x) (fabs.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (tan.f64 x)) (fabs.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (fabs.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))))
(+.f64 0 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(+.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))) 0))
(+.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) 0))
(+.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (/.f64 -1 (tan.f64 x))) 0))
(+.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))) 0))
(+.f64 (*.f64 0 (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 (*.f64 0 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 0 (*.f64 (tan.f64 x) (tan.f64 x)))
(-.f64 0 (*.f64 (neg.f64 (tan.f64 x)) (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))))
(-.f64 0 (*.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (neg.f64 (tan.f64 x))))
(-.f64 0 (*.f64 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(-.f64 0 (*.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))) (tan.f64 x)))
(-.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) 0)
(-.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))) 0))
(-.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) 0))
(-.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (/.f64 -1 (tan.f64 x))) 0))
(-.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))) 0))
(-.f64 (*.f64 0 (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))) (*.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (neg.f64 (tan.f64 x))))
(-.f64 (*.f64 0 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))) (*.f64 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))) (neg.f64 (tan.f64 x))))
(/.f64 (*.f64 (tan.f64 x) (tan.f64 x)) -1)
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) 1)
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))) (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))
(neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))
(neg.f64 (*.f64 (neg.f64 (tan.f64 x)) (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (neg.f64 (tan.f64 x))))
(neg.f64 (*.f64 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(neg.f64 (*.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))) (tan.f64 x)))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x))
(+.f64 (*.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (neg.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -2/15 (pow.f64 x 5))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5))))
(+.f64 (neg.f64 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5))))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -2/15 (pow.f64 x 5)))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1 x) (*.f64 -2/15 (pow.f64 x 5)))))
(+.f64 (+.f64 (neg.f64 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5)))) (*.f64 -17/315 (pow.f64 x 7)))
(+.f64 (neg.f64 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -2/15 (pow.f64 x 5)) (*.f64 -17/315 (pow.f64 x 7)))))
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 x)))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (*.f64 2/3 (pow.f64 x 4)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 17/45 (pow.f64 x 6))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (pow.f64 x 2))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (*.f64 17/45 (pow.f64 x 6)))))
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (pow.f64 x 2))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) -2/3))
(+.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) -2/3))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6))))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 x 4) -2/3) (*.f64 (pow.f64 x 6) -17/45)))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 x 4) -2/3) (*.f64 (pow.f64 x 6) -17/45)))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 (*.f64 -62/315 (pow.f64 x 8)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -17/45 (pow.f64 x 6)))))
(+.f64 (*.f64 (pow.f64 x 4) -2/3) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 x 8) -62/315) (*.f64 (pow.f64 x 6) -17/45))))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 x 8) -62/315) (+.f64 (*.f64 (pow.f64 x 4) -2/3) (*.f64 (pow.f64 x 6) -17/45))))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 x 4) -2/3) (+.f64 (*.f64 (pow.f64 x 6) -17/45) (*.f64 (pow.f64 x 8) -62/315))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 0 (neg.f64 (tan.f64 x)))
(neg.f64 (tan.f64 x))
(+.f64 (neg.f64 (tan.f64 x)) 0)
(neg.f64 (tan.f64 x))
(+.f64 (neg.f64 (tan.f64 x)) (*.f64 (neg.f64 (/.f64 (tan.f64 x) (tan.f64 x))) 0))
(neg.f64 (tan.f64 x))
(+.f64 (neg.f64 (tan.f64 x)) (*.f64 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x))) 0))
(neg.f64 (tan.f64 x))
(+.f64 (neg.f64 (tan.f64 x)) (*.f64 (*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))) 0))
(neg.f64 (tan.f64 x))
(+.f64 (neg.f64 (tan.f64 x)) (*.f64 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))) 0))
(neg.f64 (tan.f64 x))
(+.f64 (neg.f64 (tan.f64 x)) (*.f64 (neg.f64 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))) 0))
(neg.f64 (tan.f64 x))
(+.f64 (*.f64 0 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (tan.f64 x)))
(neg.f64 (tan.f64 x))
(+.f64 (*.f64 0 (*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))))) (neg.f64 (tan.f64 x)))
(neg.f64 (tan.f64 x))
(+.f64 (*.f64 0 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (tan.f64 x)))
(neg.f64 (tan.f64 x))
(-.f64 0 (tan.f64 x))
(neg.f64 (tan.f64 x))
(-.f64 (neg.f64 (tan.f64 x)) 0)
(neg.f64 (tan.f64 x))
(-.f64 (neg.f64 (tan.f64 x)) (*.f64 (neg.f64 (/.f64 (tan.f64 x) (tan.f64 x))) 0))
(neg.f64 (tan.f64 x))
(-.f64 (neg.f64 (tan.f64 x)) (*.f64 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x))) 0))
(neg.f64 (tan.f64 x))
(-.f64 (neg.f64 (tan.f64 x)) (*.f64 (*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))) 0))
(neg.f64 (tan.f64 x))
(-.f64 (neg.f64 (tan.f64 x)) (*.f64 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))) 0))
(neg.f64 (tan.f64 x))
(-.f64 (neg.f64 (tan.f64 x)) (*.f64 (neg.f64 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))) 0))
(neg.f64 (tan.f64 x))
(-.f64 (*.f64 0 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))) (tan.f64 x))
(neg.f64 (tan.f64 x))
(-.f64 (*.f64 0 (*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))))) (*.f64 (*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))))
(neg.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(-.f64 (*.f64 0 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))))
(neg.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x))))
(/.f64 (tan.f64 x) -1)
(neg.f64 (tan.f64 x))
(/.f64 (neg.f64 (tan.f64 x)) 1)
(neg.f64 (tan.f64 x))
(/.f64 (neg.f64 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))
(neg.f64 (tan.f64 x))
(/.f64 (neg.f64 (tan.f64 x)) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))))
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(/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x))) (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x)))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x))) (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (tan.f64 x)))))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x))))
(neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x))) (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (tan.f64 x))))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (/.f64 1 (tan.f64 x)))))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))) (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (tan.f64 x))) (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (tan.f64 x)))))
(/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))
(/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))) (*.f64 (tan.f64 x) (/.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))))
(neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))
(neg.f64 (*.f64 (neg.f64 (tan.f64 x)) (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))))
(neg.f64 (*.f64 (tan.f64 x) (neg.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))))
(*.f64 (tan.f64 x) (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (tan.f64 x)))
(neg.f64 (*.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)) (neg.f64 (tan.f64 x))))
(neg.f64 (*.f64 (neg.f64 (tan.f64 x)) (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))))
(neg.f64 (*.f64 (tan.f64 x) (neg.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))))
(*.f64 (tan.f64 x) (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (tan.f64 x)))
(neg.f64 (*.f64 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x)))))
(neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))
(neg.f64 (*.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))) (tan.f64 x)))
(neg.f64 (*.f64 (neg.f64 (tan.f64 x)) (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x))))
(neg.f64 (*.f64 (tan.f64 x) (neg.f64 (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (tan.f64 x)))))
(*.f64 (tan.f64 x) (/.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (tan.f64 x)))

localize58.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
0.2b
(pow.f64 (cos.f64 x) 2)
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
0.2b
(pow.f64 (sin.f64 x) 2)
Compiler

Compiled 202 to 96 computations (52.5% saved)

localize78.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
0.2b
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
0.2b
(*.f64 (tan.f64 x) (tan.f64 x))
0.2b
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
Compiler

Compiled 361 to 150 computations (58.4% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
1.0ms
x
@-inf
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
1.0ms
x
@inf
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
1.0ms
x
@-inf
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
1.0ms
x
@inf
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))

rewrite116.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1222×rational_best_oopsla_all_46_json_45_simplify-13
1166×rational_best_oopsla_all_46_json_45_simplify-89
978×rational_best_oopsla_all_46_json_45_simplify-37
914×rational_best_oopsla_all_46_json_45_simplify-87
854×rational_best_oopsla_all_46_json_45_simplify-74
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
012243
185243
2355237
32018237
Stop Event
node limit
Counts
3 → 181
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))
(*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
Outputs
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simplify257.0ms (2.2%)

Algorithm
egg-herbie
Rules
1268×rational_best_oopsla_all_46_json_45_simplify-23
1122×rational_best_oopsla_all_46_json_45_simplify-89
1018×rational_best_oopsla_all_46_json_45_simplify-13
954×rational_best_oopsla_all_46_json_45_simplify-7
928×rational_best_oopsla_all_46_json_45_simplify-24
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042027821
1143527453
2521627011
Stop Event
node limit
Counts
217 → 320
Calls
Call 1
Inputs
1
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Outputs
1
(+.f64 (*.f64 2 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 2 (pow.f64 x 2)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 13/3 (pow.f64 x 4)) 1))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 13/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 13/3 (pow.f64 x 4))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 13/3 (pow.f64 x 4)) (+.f64 1 (*.f64 394/45 (pow.f64 x 6)))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 13/3 (pow.f64 x 4)) (*.f64 394/45 (pow.f64 x 6)))))
(+.f64 (*.f64 13/3 (pow.f64 x 4)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 394/45 (pow.f64 x 6)))))
(/.f64 1 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))
(/.f64 1 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))
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(/.f64 1 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))
(/.f64 1 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))
(/.f64 1 (pow.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 2))
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(pow.f64 x 2)
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(+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 6) 122/45) (*.f64 (pow.f64 x 4) 5/3)))
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(/.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (*.f64 (tan.f64 x) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (*.f64 (tan.f64 x) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (tan.f64 x) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (tan.f64 x) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (*.f64 (tan.f64 x) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (*.f64 (tan.f64 x) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (neg.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (neg.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))))
(/.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (neg.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))) (neg.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))))
(/.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 (neg.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))) (neg.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))))
(fabs.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(fabs.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (*.f64 (neg.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(fabs.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(fabs.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (tan.f64 x) (tan.f64 x)))))))
(fabs.f64 (*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (tan.f64 x) (tan.f64 x)))))))
(fabs.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x)))))))
(fabs.f64 (*.f64 (/.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (neg.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))))
(fabs.f64 (*.f64 (fabs.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(fabs.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (tan.f64 x) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (fabs.f64 (tan.f64 x))))
(fabs.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(fabs.f64 (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(fabs.f64 (*.f64 (tan.f64 x) (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(fabs.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x))))
(fabs.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (neg.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))))
(fabs.f64 (*.f64 (fabs.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x)))))
(fabs.f64 (*.f64 (tan.f64 x) (*.f64 (neg.f64 (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(fabs.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 x))))
(fabs.f64 (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (neg.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))))
(fabs.f64 (*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (fabs.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))
(fabs.f64 (*.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))
(fabs.f64 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(fabs.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))))

eval2.2s (18.5%)

Compiler

Compiled 192033 to 80135 computations (58.3% saved)

prune1.2s (10.4%)

Pruning

35 alts after pruning (23 fresh and 12 done)

PrunedKeptTotal
New260362609
Fresh11718
Picked011
Done11112
Total2605352640
Error
0.1b
Counts
2640 → 35
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
0.4b
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.3b
(/.f64 (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
15.4b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 1))
0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))))
0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (fabs.f64 (*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x)))))))
20.1b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (fabs.f64 (*.f64 (tan.f64 x) (*.f64 (*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))))))
0.3b
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (fabs.f64 (neg.f64 (*.f64 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))))))
0.4b
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.6b
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (tan.f64 x) (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (tan.f64 x))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.6b
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.3b
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.3b
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (fabs.f64 (*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x))))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.3b
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.4b
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (tan.f64 x) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (tan.f64 x) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.3b
(/.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
26.6b
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
59.5b
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1)
29.3b
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
29.5b
(+.f64 1 (neg.f64 (pow.f64 x 2)))
0.3b
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))))
0.5b
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))
0.4b
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))))
0.4b
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))))) 1)))))
0.3b
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))
0.3b
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (*.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (fabs.f64 (/.f64 1 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))))
0.4b
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (*.f64 (*.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))
0.4b
(*.f64 (*.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))
0.4b
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))
26.8b
1
60.0b
-1
Compiler

Compiled 1550 to 779 computations (49.7% saved)

regimes83.0ms (0.7%)

Counts
41 → 1
Calls
Call 1
Inputs
-1
1
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(/.f64 1 (+.f64 (pow.f64 x 2) 1))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 (pow.f64 x 2) 1))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) 1))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))))
(/.f64 (-.f64 1 (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (fabs.f64 (*.f64 (tan.f64 x) (/.f64 1 (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (fabs.f64 (*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x)))))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1))
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (fabs.f64 (neg.f64 (*.f64 (*.f64 (/.f64 1 (tan.f64 x)) (/.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (fabs.f64 (*.f64 (tan.f64 x) (*.f64 (-.f64 0 (*.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (*.f64 (tan.f64 x) (tan.f64 x))))) (/.f64 1 (tan.f64 x)))))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (fabs.f64 (*.f64 (tan.f64 x) (*.f64 (*.f64 (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))) (neg.f64 (*.f64 (tan.f64 x) (tan.f64 x))))))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (fabs.f64 (*.f64 (tan.f64 x) (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 1 (tan.f64 x))))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) 1))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (*.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1)))))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (fabs.f64 (*.f64 (tan.f64 x) (-.f64 (*.f64 0 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x)))))) (*.f64 (*.f64 (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))) (/.f64 (/.f64 1 (tan.f64 x)) (*.f64 (tan.f64 x) (neg.f64 (tan.f64 x))))) (*.f64 (tan.f64 x) (tan.f64 x))))))))
(/.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (pow.f64 (cos.f64 x) 2))))) 1)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (tan.f64 x) (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (tan.f64 x))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (-.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (tan.f64 x) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (tan.f64 x) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (-.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (/.f64 1 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))) (*.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) (*.f64 (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))))))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(*.f64 (*.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (*.f64 (*.f64 (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (*.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (fabs.f64 (/.f64 1 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))))
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 1 (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))))))) (*.f64 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)) (/.f64 1 (/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1)))))
Outputs
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
Calls

4 calls:

17.0ms
(tan.f64 x)
17.0ms
x
14.0ms
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
11.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
0.3b1(*.f64 (tan.f64 x) (tan.f64 x))
0.3b1(tan.f64 x)
Compiler

Compiled 1680 to 746 computations (55.6% saved)

regimes32.0ms (0.3%)

Counts
10 → 2
Calls
Call 1
Inputs
-1
1
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(/.f64 1 (+.f64 (pow.f64 x 2) 1))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1)
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 (pow.f64 x 2) 1))
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (pow.f64 x 2) 1))
(/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
Outputs
(/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1)
Calls

3 calls:

15.0ms
(tan.f64 x)
8.0ms
(*.f64 (tan.f64 x) (tan.f64 x))
5.0ms
x
Results
ErrorSegmentsBranch
26.6b1x
23.6b2(*.f64 (tan.f64 x) (tan.f64 x))
23.6b3(tan.f64 x)
Compiler

Compiled 89 to 63 computations (29.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9905317141439063
1.0457149669136736
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes9.0ms (0.1%)

Accuracy

Total -36.7b remaining (-136.7%)

Threshold costs -36.7b (-136.7%)

Counts
6 → 1
Calls
Call 1
Inputs
-1
1
(+.f64 1 (neg.f64 (pow.f64 x 2)))
(+.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(/.f64 1 (+.f64 (pow.f64 x 2) 1))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1)
Outputs
1
Calls

1 calls:

8.0ms
x
Results
ErrorSegmentsBranch
26.8b1x
Compiler

Compiled 34 to 29 computations (14.7% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022124
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(if (<=.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1))
1
-1
Outputs
(/.f64 (-.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x))))
(if (<=.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 1) (/.f64 1 (+.f64 1 (*.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) 1))
1
-1
Compiler

Compiled 47 to 30 computations (36.2% saved)

soundness0.0ms (0%)

end29.0ms (0.2%)

Compiler

Compiled 44 to 25 computations (43.2% saved)

Profiling

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