Details

Time bar (total: 20.3s)

analyze430.0ms (2.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
0%100%0%4
0%100%0%5
0%100%0%6
0%100%0%7
0%100%0%8
0%100%0%9
0%100%0%10
0%100%0%11
0%100%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample12.3s (60.5%)

Results
8.2s2103×body2048valid
2.7s3130×body1024valid
619.0ms1558×body512valid
421.0ms1358×body256valid
251.0ms107×body4096valid

preprocess151.0ms (0.7%)

Algorithm
egg-herbie
Rules
583×fma-neg_binary64
430×fma-def_binary64
418×div-sub_binary64
334×times-frac_binary64
156×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
11414
22414
34114
47514
513014
626014
754614
8142014
9256614
10339214
11375714
12388614
13391314
14392314
15392714
16392714
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify135.0ms (0.7%)

Algorithm
egg-herbie
Rules
583×fma-neg_binary64
430×fma-def_binary64
418×div-sub_binary64
334×times-frac_binary64
156×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
11414
22414
34114
47514
513014
626014
754614
8142014
9256614
10339214
11375714
12388614
13391314
14392314
15392714
16392714
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))

eval1.0ms (0%)

Compiler

Compiled 19 to 9 computations (52.6% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
28.5b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
28.5b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
Compiler

Compiled 10 to 6 computations (40% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.0b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
1.5b
(-.f64 (tan.f64 x) x)
1.5b
(-.f64 (sin.f64 x) x)
Compiler

Compiled 23 to 6 computations (73.9% saved)

series11.0ms (0.1%)

Counts
4 → 40
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
2.0ms
x
@-inf
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
1.0ms
x
@0
(-.f64 (sin.f64 x) x)
1.0ms
x
@-inf
(-.f64 (tan.f64 x) x)
1.0ms
x
@0
(-.f64 (tan.f64 x) x)

rewrite315.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
990×prod-diff_binary64
472×log-prod_binary64
339×fma-def_binary64
251×pow2_binary64
227×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0729
116929
2274529
Stop Event
node limit
Counts
4 → 440
Calls
Call 1
Inputs
(-.f64 (sin.f64 x) x)
(-.f64 (tan.f64 x) x)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(sin.f64 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 -1 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (cbrt.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (+.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (neg.f64 (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (sin.f64 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (neg.f64 x) 2)) (-.f64 (sin.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 x) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sin.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (sin.f64 x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (sin.f64 x)) (/.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (/.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (expm1.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) 1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) 1 (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (sin.f64 x) x) 1 (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (sin.f64 x) x) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (sin.f64 x) x) 1 (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (sin.f64 x) x) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (cbrt.f64 (-.f64 (sin.f64 x) x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (cbrt.f64 (-.f64 (sin.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (cbrt.f64 (-.f64 (sin.f64 x) x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (sin.f64 x))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (sin.f64 x))) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (-.f64 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x)) 2)) (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1))))))

simplify72.0ms (0.4%)

Algorithm
egg-herbie
Rules
597×div-sub_binary64
542×fma-def_binary64
510×times-frac_binary64
286×associate-/l*_binary64
217×distribute-neg-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0105744
1315656
21009622
34955594
Stop Event
node limit
Counts
480 → 485
Calls
Call 1
Inputs
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 -1 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(*.f64 1/3 (pow.f64 x 3))
(+.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 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
Outputs
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 1/120 (pow.f64 x 5)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (*.f64 -1/5040 (pow.f64 x 7))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/362880 (pow.f64 x 9) (fma.f64 1/120 (pow.f64 x 5) (*.f64 -1/5040 (pow.f64 x 7)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 -1/5040 (pow.f64 x 7) (*.f64 1/362880 (pow.f64 x 9)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(*.f64 1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/3)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 2/15))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 5) 2/15))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 2/15)))
(fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 5) 2/15)))
(fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 7) 17/315)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 62/2835 (pow.f64 x 9) (*.f64 (pow.f64 x 5) 2/15))))
(fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 9) 62/2835 (*.f64 (pow.f64 x 5) 2/15))))
(fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 9) 62/2835))))
(fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 9) 62/2835))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(fma.f64 x (*.f64 x 9/40) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2)
(fma.f64 x (*.f64 x 9/40) (fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 27/112000 (pow.f64 x 6) -1/2)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))))
(-.f64 1 (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) -1)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 (sin.f64 x) (*.f64 (pow.f64 x 3) (cos.f64 x))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))))
(-.f64 1 (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) -1)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 (sin.f64 x) (*.f64 (pow.f64 x 3) (cos.f64 x))))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 -1/5040 (pow.f64 x 7) x)))

eval179.0ms (0.9%)

Compiler

Compiled 16764 to 5096 computations (69.6% saved)

prune68.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New4769485
Fresh000
Picked011
Done000
Total47610486
Error
0b
Counts
486 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
34.0b
(fma.f64 x (*.f64 x 9/40) -1/2)
29.9b
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
34.7b
-1/2
28.5b
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
29.5b
1
34.8b
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
28.6b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
28.5b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
48.8b
(/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x))
45.8b
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))
Compiler

Compiled 182 to 124 computations (31.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
0.0b
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
1.5b
(-.f64 (tan.f64 x) x)
1.5b
(-.f64 (sin.f64 x) x)
Compiler

Compiled 35 to 9 computations (74.3% saved)

series6.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
2.0ms
x
@inf
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
1.0ms
x
@0
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
1.0ms
x
@inf
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
0.0ms
x
@-inf
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))

rewrite143.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
990×prod-diff_binary64
538×log-prod_binary64
344×fma-def_binary64
225×egg-rr
195×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0931
121128
2320128
Stop Event
node limit
Counts
2 → 274
Calls
Call 1
Inputs
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
Outputs
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(sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (sqrt.f64 (-.f64 (sin.f64 x) x))) (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (+.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 x) x) 3) (pow.f64 (-.f64 (sin.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (tan.f64 x) (/.f64 1 (-.f64 (sin.f64 x) x)) (neg.f64 (/.f64 x (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (neg.f64 (/.f64 x (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)))) (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2)) (/.f64 (sqrt.f64 (tan.f64 x)) (cbrt.f64 (-.f64 (sin.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (-.f64 (sin.f64 x) x))) (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 (sin.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (sqrt.f64 (-.f64 (sin.f64 x) x))) (/.f64 (cbrt.f64 (tan.f64 x)) (sqrt.f64 (-.f64 (sin.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (-.f64 (sin.f64 x) x))) (/.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (-.f64 (sin.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (neg.f64 (/.f64 x (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (+.f64 x (sin.f64 x)) (neg.f64 (/.f64 x (-.f64 (sin.f64 x) x))))))))

simplify59.0ms (0.3%)

Algorithm
egg-herbie
Rules
804×fma-def_binary64
681×times-frac_binary64
439×associate-/l*_binary64
306×associate-+l+_binary64
271×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01191051
1392872
21698760
Stop Event
node limit
Counts
298 → 308
Calls
Call 1
Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))))
-2
(-.f64 (*.f64 -9/10 (pow.f64 x 2)) 2)
(-.f64 (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (*.f64 -297/2000 (pow.f64 x 6)) (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2)))) 2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (pow.f64 x 2)) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (pow.f64 x 2)) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))))
Outputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 9/40 (*.f64 x x) -1/2))
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 27/112000 (pow.f64 x 6) -1/2)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) x)))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 x x) (+.f64 (*.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))))) (pow.f64 x 3)) (neg.f64 (/.f64 (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 x x))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(+.f64 1 (+.f64 (-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (*.f64 x x)) (/.f64 (fma.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (*.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (pow.f64 x 3))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (-.f64 1 (fma.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (+.f64 (*.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (*.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x)))))) (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 1 (-.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) x)))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 x x) (+.f64 (*.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 x 3) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (fma.f64 -1 (/.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (*.f64 x x)) (+.f64 1 (fma.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))) (fma.f64 -1 (/.f64 (*.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3)) (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))))
(+.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (pow.f64 x 3)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))))) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (*.f64 x x)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))
(+.f64 (fma.f64 -1 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (pow.f64 x 3)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (+.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) 1) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) 1) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 x x) (+.f64 (*.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x)))))))
-2
(-.f64 (*.f64 -9/10 (pow.f64 x 2)) 2)
(fma.f64 -9/10 (*.f64 x x) -2)
(fma.f64 (*.f64 x x) -9/10 -2)
(fma.f64 (*.f64 -9/10 x) x -2)
(-.f64 (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2))) 2)
(+.f64 (*.f64 (pow.f64 x 4) -513/1400) (fma.f64 -9/10 (*.f64 x x) -2))
(fma.f64 (pow.f64 x 4) -513/1400 (fma.f64 (*.f64 x x) -9/10 -2))
(fma.f64 x (*.f64 x -9/10) (fma.f64 (pow.f64 x 4) -513/1400 -2))
(-.f64 (+.f64 (*.f64 -297/2000 (pow.f64 x 6)) (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2)))) 2)
(+.f64 (fma.f64 -297/2000 (pow.f64 x 6) (fma.f64 -513/1400 (pow.f64 x 4) (*.f64 (*.f64 x x) -9/10))) -2)
(fma.f64 (pow.f64 x 6) -297/2000 (fma.f64 (pow.f64 x 4) -513/1400 (fma.f64 (*.f64 x x) -9/10 -2)))
(fma.f64 (pow.f64 x 6) -297/2000 (fma.f64 x (*.f64 x -9/10) (fma.f64 (pow.f64 x 4) -513/1400 -2)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) x)))
(+.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(-.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (pow.f64 x 2)) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (-.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (*.f64 x x) (sin.f64 x)))) (/.f64 (neg.f64 (sin.f64 x)) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))
(+.f64 1 (*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (-.f64 -1 (/.f64 (sin.f64 x) x))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (pow.f64 x 2)) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 2))) 1) (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (*.f64 x x) (sin.f64 x))))) (/.f64 (neg.f64 (sin.f64 x)) x))
(+.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 2))) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))))
(+.f64 (-.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (sin.f64 x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) x)))
(+.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(-.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))))
(+.f64 1 (-.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (*.f64 x x) (sin.f64 x)))) (/.f64 (neg.f64 (sin.f64 x)) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))
(+.f64 1 (*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (-.f64 -1 (/.f64 (sin.f64 x) x))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))))
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 2))) 1) (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (*.f64 x x) (sin.f64 x))))) (/.f64 (neg.f64 (sin.f64 x)) x))
(+.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 2))) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))))
(+.f64 (-.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (sin.f64 x))))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 x (*.f64 x 9/40) -1/2)
0.1b
(*.f64 x 9/40)
Compiler

Compiled 13 to 9 computations (30.8% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(fma.f64 x (*.f64 x 9/40) -1/2)
0.0ms
x
@0
(*.f64 x 9/40)
0.0ms
x
@inf
(*.f64 x 9/40)
0.0ms
x
@inf
(fma.f64 x (*.f64 x 9/40) -1/2)
0.0ms
x
@-inf
(*.f64 x 9/40)

rewrite52.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
534×pow1_binary64
522×add-sqr-sqrt_binary64
497×add-log-exp_binary64
497×log1p-expm1-u_binary64
497×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0612
112212
2132712
Stop Event
node limit
Counts
2 → 32
Calls
Call 1
Inputs
(*.f64 x 9/40)
(fma.f64 x (*.f64 x 9/40) -1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 9/40)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9/40) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9/40) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 9/40)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 9/40)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 9/40) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 9/40) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 9/40)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (*.f64 x (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 9/40)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 9/40)) 1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (*.f64 x 9/40) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 9/40) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x 9/40) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) (sqrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 9/40)) 3) -1/8) (+.f64 (*.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 x (*.f64 x 9/40))) (-.f64 1/4 (*.f64 (*.f64 x (*.f64 x 9/40)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 x (*.f64 x 9/40))) 1/4) (-.f64 (*.f64 x (*.f64 x 9/40)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x 9/40) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))))

simplify160.0ms (0.8%)

Algorithm
egg-herbie
Rules
1082×sqr-pow_binary64
560×cube-prod_binary64
559×fabs-mul_binary64
523×pow-sqr_binary64
450×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010135
120135
230135
351135
4116135
5349135
61281135
72180135
82344135
92528135
102736135
113034135
123427135
133908135
144476135
155168135
166007135
176401135
186689135
196967135
207039135
217073135
Stop Event
node limit
Counts
56 → 38
Calls
Call 1
Inputs
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
Outputs
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
1.5b
(-.f64 (tan.f64 x) x)
Compiler

Compiled 17 to 5 computations (70.6% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
1.0ms
x
@inf
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
1.0ms
x
@-inf
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))

rewrite56.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
724×pow1_binary64
676×add-log-exp_binary64
675×log1p-expm1-u_binary64
675×expm1-log1p-u_binary64
661×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0611
11439
223349
Stop Event
node limit
Counts
1 → 38
Calls
Call 1
Inputs
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 x (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 (neg.f64 (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (tan.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (+.f64 x (tan.f64 x)) 2)) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (tan.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))))

simplify39.0ms (0.2%)

Algorithm
egg-herbie
Rules
793×associate-/l/_binary64
760×fma-def_binary64
736×associate-*l*_binary64
644×associate-*r*_binary64
410×associate-*l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041278
1114276
2326270
31704240
Stop Event
node limit
Counts
50 → 53
Calls
Call 1
Inputs
(/.f64 -3 (pow.f64 x 2))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
Outputs
(/.f64 -3 (pow.f64 x 2))
(/.f64 -3 (*.f64 x x))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 6/5 (/.f64 3 (*.f64 x x)))
(+.f64 6/5 (/.f64 -3 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 1/175 (*.f64 x x) 6/5) (/.f64 3 (*.f64 x x)))
(+.f64 (fma.f64 (*.f64 x x) 1/175 6/5) (/.f64 -3 (*.f64 x x)))
(+.f64 6/5 (fma.f64 (*.f64 x x) 1/175 (/.f64 -3 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 1/175 (*.f64 x x) 6/5) (*.f64 2/7875 (pow.f64 x 4))) (/.f64 3 (*.f64 x x)))
(+.f64 (fma.f64 (*.f64 x x) 1/175 (fma.f64 2/7875 (pow.f64 x 4) 6/5)) (/.f64 -3 (*.f64 x x)))
(+.f64 (fma.f64 2/7875 (pow.f64 x 4) 6/5) (fma.f64 (*.f64 x x) 1/175 (/.f64 -3 (*.f64 x x))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x)))))
(+.f64 1 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) 3) (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x)))))
(+.f64 1 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) 3) (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (-.f64 (tan.f64 x) x))
0.1b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
1.5b
(-.f64 (tan.f64 x) x)
1.5b
(-.f64 (sin.f64 x) x)
Compiler

Compiled 32 to 11 computations (65.6% saved)

series10.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 1 (-.f64 (tan.f64 x) x))
1.0ms
x
@0
(/.f64 1 (-.f64 (tan.f64 x) x))
1.0ms
x
@-inf
(/.f64 1 (-.f64 (tan.f64 x) x))
1.0ms
x
@inf
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
1.0ms
x
@-inf
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))

rewrite96.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
765×prod-diff_binary64
484×log-prod_binary64
330×fma-def_binary64
268×pow2_binary64
186×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
120023
2288423
Stop Event
node limit
Counts
2 → 83
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(/.f64 1 (-.f64 (tan.f64 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (/.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (*.f64 (-.f64 (tan.f64 x) x) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (*.f64 (-.f64 (tan.f64 x) x) (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (*.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (*.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) 1) (*.f64 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) 1) (*.f64 (+.f64 x (sin.f64 x)) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) -1) (*.f64 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (neg.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) -1) (*.f64 (+.f64 x (sin.f64 x)) (neg.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (sin.f64 x) x) 1) (-.f64 (tan.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (tan.f64 x) x))) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (+.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (+.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sin.f64 x) x) -1) (neg.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 (tan.f64 x) x) -3) (pow.f64 (-.f64 (sin.f64 x) x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (tan.f64 x) x) -3) (pow.f64 (-.f64 (sin.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (pow.f64 (-.f64 (tan.f64 x) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (tan.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 (tan.f64 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))) 1))))))

simplify92.0ms (0.5%)

Algorithm
egg-herbie
Rules
875×times-frac_binary64
701×div-sub_binary64
436×fma-def_binary64
435×associate-/l*_binary64
345×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
097761
1312685
21106637
36454637
Stop Event
node limit
Counts
107 → 114
Calls
Call 1
Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(/.f64 3 (pow.f64 x 3))
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 6/5 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/175 x) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) (*.f64 6/5 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/175 x) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 -2/7875 (pow.f64 x 3)))) (*.f64 6/5 (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x))
Outputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2)
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 27/112000 (pow.f64 x 6) -1/2)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))))
(+.f64 1 (-.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))) (/.f64 (sin.f64 x) x)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 x 3)) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x)))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))))
(+.f64 1 (-.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))) (/.f64 (sin.f64 x) x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 x 3)) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x)))))))
(/.f64 3 (pow.f64 x 3))
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 6/5 (/.f64 1 x)))
(-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 6/5 x))
(+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -6/5 x))
(-.f64 (+.f64 (*.f64 -1/175 x) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) (*.f64 6/5 (/.f64 1 x)))
(-.f64 (fma.f64 -1/175 x (/.f64 3 (pow.f64 x 3))) (/.f64 6/5 x))
(+.f64 (fma.f64 x -1/175 (/.f64 3 (pow.f64 x 3))) (/.f64 -6/5 x))
(+.f64 (/.f64 3 (pow.f64 x 3)) (fma.f64 x -1/175 (/.f64 -6/5 x)))
(-.f64 (+.f64 (*.f64 -1/175 x) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 -2/7875 (pow.f64 x 3)))) (*.f64 6/5 (/.f64 1 x)))
(-.f64 (+.f64 (fma.f64 -1/175 x (/.f64 3 (pow.f64 x 3))) (*.f64 (pow.f64 x 3) -2/7875)) (/.f64 6/5 x))
(+.f64 (fma.f64 x -1/175 (fma.f64 (pow.f64 x 3) -2/7875 (/.f64 3 (pow.f64 x 3)))) (/.f64 -6/5 x))
(+.f64 (fma.f64 x -1/175 (/.f64 3 (pow.f64 x 3))) (fma.f64 (pow.f64 x 3) -2/7875 (/.f64 -6/5 x)))
(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) x) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x))
(fma.f64 -1 (+.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3))) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 x 3)) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x))
(-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))))) (/.f64 1 x))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))) (/.f64 -1 x))
(-.f64 (-.f64 (/.f64 -1 x) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 x 3)) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 4)))
(-.f64 (-.f64 (/.f64 -1 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 4))))
(/.f64 -1 x)
(-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) x) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x))
(fma.f64 -1 (+.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3))) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 x 3)) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x))
(-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))))) (/.f64 1 x))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))) (/.f64 -1 x))
(-.f64 (-.f64 (/.f64 -1 x) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 x 3)) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 4)))
(-.f64 (-.f64 (/.f64 -1 x) (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 4))))

localize44.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 -27/2800 (pow.f64 x 4))
0.3b
(*.f64 9/40 (pow.f64 x 2))
17.5b
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
Compiler

Compiled 47 to 38 computations (19.1% saved)

series7.0ms (0%)

Counts
3 → 6
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
1.0ms
x
@inf
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
1.0ms
x
@inf
(*.f64 -27/2800 (pow.f64 x 4))
1.0ms
x
@inf
(*.f64 9/40 (pow.f64 x 2))
1.0ms
x
@0
(*.f64 -27/2800 (pow.f64 x 4))

rewrite112.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
446×log-prod_binary64
335×exp-prod_binary64
304×fma-def_binary64
298×prod-exp_binary64
269×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
123928
2273328
Stop Event
node limit
Counts
3 → 117
Calls
Call 1
Inputs
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 4))
Outputs
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simplify191.0ms (0.9%)

Algorithm
egg-herbie
Rules
1057×sqr-pow_binary64
538×fma-def_binary64
506×pow-sqr_binary64
443×cube-prod_binary64
425×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01163
12263
24563
311463
435563
5142763
6265863
7312063
8328963
9348863
10376163
11411863
12456863
13509963
14572963
15648463
16679463
17701863
18721663
19727063
20729263
Stop Event
node limit
Counts
123 → 122
Calls
Call 1
Inputs
(*.f64 9/40 (pow.f64 x 2))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
Outputs
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))
(*.f64 x (fma.f64 9/40 x (*.f64 -27/2800 (pow.f64 x 3))))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))
(*.f64 x (fma.f64 9/40 x (*.f64 -27/2800 (pow.f64 x 3))))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))
(*.f64 x (fma.f64 9/40 x (*.f64 -27/2800 (pow.f64 x 3))))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))

eval574.0ms (2.8%)

Compiler

Compiled 30191 to 10903 computations (63.9% saved)

prune157.0ms (0.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New115851163
Fresh224
Picked101
Done235
Total1163101173
Error
0b
Counts
1173 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
34.0b
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
28.5b
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
48.8b
(/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x))
34.8b
(-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
29.3b
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3) (-.f64 (sin.f64 x) x))
29.9b
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
28.6b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
34.7b
-1/2
28.5b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
29.5b
1
Compiler

Compiled 160 to 115 computations (28.1% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
0.0b
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
1.5b
(-.f64 (tan.f64 x) x)
1.5b
(-.f64 (sin.f64 x) x)
Compiler

Compiled 35 to 9 computations (74.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite62.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
990×prod-diff_binary64
550×log-prod_binary64
345×fma-def_binary64
194×expm1-udef_binary64
194×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
121014
2324814
Stop Event
node limit
Counts
1 → 49
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 x) x) (/.f64 1 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 1 (/.f64 1 (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 1) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2)) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1) (-.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x))) (sqrt.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x)))))))

simplify49.0ms (0.2%)

Algorithm
egg-herbie
Rules
597×div-sub_binary64
510×times-frac_binary64
300×distribute-rgt-in_binary64
284×associate-/l*_binary64
269×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
065420
1206356
2730322
34124294
Stop Event
node limit
Counts
61 → 66
Calls
Call 1
Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
Outputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2)
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 27/112000 (pow.f64 x 6) -1/2)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (pow.f64 (cos.f64 x) 2)))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(-.f64 (+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (pow.f64 (cos.f64 x) 2)))))))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(*.f64 9/40 (*.f64 x x))
Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 9/40 (*.f64 x x))
0.0ms
x
@inf
(*.f64 9/40 (*.f64 x x))
0.0ms
x
@-inf
(*.f64 9/40 (*.f64 x x))

rewrite39.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
432×pow1_binary64
421×add-sqr-sqrt_binary64
411×*-un-lft-identity_binary64
402×add-log-exp_binary64
402×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11027
211487
Stop Event
node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 9/40 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9/40 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 81/1600 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))))))

simplify170.0ms (0.8%)

Algorithm
egg-herbie
Rules
1082×sqr-pow_binary64
617×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
441×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
22384
34484
410584
533184
6125084
7212384
8228784
9247184
10267984
11297684
12337184
13385284
14441884
15510284
16593584
17632784
18661984
19689584
20696984
21700384
22794484
Stop Event
node limit
Counts
26 → 16
Calls
Call 1
Inputs
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
Outputs
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 -27/2800 (pow.f64 x 4))
0.3b
(*.f64 9/40 (*.f64 x x))
17.5b
(+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4)))
Compiler

Compiled 58 to 39 computations (32.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4)))
0.0ms
x
@inf
(+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4)))
0.0ms
x
@-inf
(+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4)))

rewrite61.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
477×fma-def_binary64
456×log-prod_binary64
344×exp-prod_binary64
299×pow-prod-down_binary64
262×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01216
127114
2313214
Stop Event
node limit
Counts
1 → 81
Calls
Call 1
Inputs
(+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4)))) (/.f64 (*.f64 729/7840000 (pow.f64 x 8)) (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 2) (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) (sqrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -19683/21952000000 (pow.f64 x 12) (*.f64 (pow.f64 x 6) 729/64000)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 729/7840000 (pow.f64 x 8))) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 729/7840000 (pow.f64 x 8))) (/.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 729/7840000 (pow.f64 x 8))) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800) (pow.f64 x 4))) (fma.f64 -19683/21952000000 (pow.f64 x 12) (*.f64 (pow.f64 x 6) 729/64000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 729/7840000 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -19683/21952000000 (pow.f64 x 12) (*.f64 (pow.f64 x 6) 729/64000)) (-.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 729/7840000 (pow.f64 x 8))) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -19683/21952000000 (pow.f64 x 12) (*.f64 (pow.f64 x 6) 729/64000)) (fma.f64 729/7840000 (pow.f64 x 8) (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 729/7840000 (pow.f64 x 8))) (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -19683/21952000000 (pow.f64 x 12) (*.f64 (pow.f64 x 6) 729/64000))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 729/7840000 (pow.f64 x 8))) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 729/7840000 (pow.f64 x 8)))) (neg.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 3)) (+.f64 0 (-.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 2) (*.f64 0 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 2)) (-.f64 0 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 729/7840000 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) 81/1600)) (-.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 729/7840000 (pow.f64 x 8))) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800) (pow.f64 x 4))) (fma.f64 -19683/21952000000 (pow.f64 x 12) (*.f64 (pow.f64 x 6) 729/64000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 729/7840000 (pow.f64 x 8)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))) 2)) (cbrt.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))) (sqrt.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 9/40 (*.f64 x x)))) (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 9/40) x) x) (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 9/40 (*.f64 x x)))) (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4)))) (pow.f64 (pow.f64 (exp.f64 9/40) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4)) (+.f64 1 (expm1.f64 (*.f64 9/40 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4)))) (+.f64 1 (expm1.f64 (*.f64 9/40 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 9/40 x) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 9/40 (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) -27/2800) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9/40 (*.f64 x x)) 1 (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) -27/2800 (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1 (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 9/40 (*.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) (cbrt.f64 (*.f64 729/7840000 (pow.f64 x 8))) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 729/7840000 (pow.f64 x 8))) (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 2) (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 9/40) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 8) (*.f64 (*.f64 (cbrt.f64 x) x) -27/2800) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) (cbrt.f64 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) (sqrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 x (sqrt.f64 9/40)) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 6) 729/64000) (pow.f64 (*.f64 9/40 (*.f64 x x)) -2) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -19683/21952000000 (pow.f64 x 12) (*.f64 (pow.f64 x 6) 729/64000)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 729/7840000 (pow.f64 x 8))) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800) (pow.f64 x 4)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 (pow.f64 x 4) 81/1600)) (/.f64 1 (neg.f64 (*.f64 9/40 (*.f64 x x)))) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 729/7840000 (pow.f64 x 8))) (/.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9/40 x) x (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -27/2800 (*.f64 x x)) (*.f64 x x) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -27/2800 (pow.f64 (cbrt.f64 x) 8)) (*.f64 (cbrt.f64 x) x) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9/40 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 9/40 x) 1) x (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 9/40 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 9/40 x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 -27/2800 (pow.f64 x 4)))))))

simplify180.0ms (0.9%)

Algorithm
egg-herbie
Rules
1057×sqr-pow_binary64
538×fma-def_binary64
506×pow-sqr_binary64
443×cube-prod_binary64
408×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012147
123147
245147
3114147
4355147
51400147
62650147
73112147
83281147
93480147
103751147
114110147
124560147
135091147
145721147
156470147
166784147
177008147
187208147
197266147
207290147
Stop Event
node limit
Counts
93 → 87
Calls
Call 1
Inputs
(*.f64 9/40 (pow.f64 x 2))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
Outputs
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))
(*.f64 x (fma.f64 9/40 x (*.f64 -27/2800 (pow.f64 x 3))))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))
(*.f64 x (fma.f64 9/40 x (*.f64 -27/2800 (pow.f64 x 3))))
(+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))
(*.f64 x (fma.f64 9/40 x (*.f64 -27/2800 (pow.f64 x 3))))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))
(*.f64 x (fma.f64 9/40 x (*.f64 -27/2800 (pow.f64 x 3))))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))
(*.f64 x (fma.f64 9/40 x (*.f64 -27/2800 (pow.f64 x 3))))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))
(*.f64 x (fma.f64 9/40 x (*.f64 -27/2800 (pow.f64 x 3))))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))
(*.f64 x (fma.f64 9/40 x (*.f64 -27/2800 (pow.f64 x 3))))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))
(*.f64 x (fma.f64 9/40 x (*.f64 -27/2800 (pow.f64 x 3))))
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))
(*.f64 x (fma.f64 9/40 x (*.f64 -27/2800 (pow.f64 x 3))))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x))
1.5b
(-.f64 (tan.f64 x) x)
1.5b
(-.f64 (sin.f64 x) x)
1.5b
(exp.f64 (log.f64 (-.f64 (sin.f64 x) x)))
Compiler

Compiled 36 to 8 computations (77.8% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(exp.f64 (log.f64 (-.f64 (sin.f64 x) x)))
0.0ms
x
@inf
(/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x))
0.0ms
x
@-inf
(/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x))
0.0ms
x
@inf
(exp.f64 (log.f64 (-.f64 (sin.f64 x) x)))
0.0ms
x
@-inf
(exp.f64 (log.f64 (-.f64 (sin.f64 x) x)))

rewrite70.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
786×prod-diff_binary64
482×log-prod_binary64
330×fma-def_binary64
323×pow-prod-down_binary64
263×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
119020
2279220
Stop Event
node limit
Counts
2 → 159
Calls
Call 1
Inputs
(exp.f64 (log.f64 (-.f64 (sin.f64 x) x)))
(/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 x) x) (/.f64 1 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (*.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (*.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 1 (-.f64 (tan.f64 x) x))))))) 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(sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 1))))))

simplify53.0ms (0.3%)

Algorithm
egg-herbie
Rules
597×div-sub_binary64
510×times-frac_binary64
383×fma-def_binary64
282×associate-/l*_binary64
217×distribute-neg-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
086544
1261468
2866434
34526406
Stop Event
node limit
Counts
183 → 186
Calls
Call 1
Inputs
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 -1 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
Outputs
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 1/120 (pow.f64 x 5)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (*.f64 -1/5040 (pow.f64 x 7))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/362880 (pow.f64 x 9) (fma.f64 1/120 (pow.f64 x 5) (*.f64 -1/5040 (pow.f64 x 7)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 -1/5040 (pow.f64 x 7) (*.f64 1/362880 (pow.f64 x 9)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) (*.f64 1/362880 (pow.f64 x 9)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(fma.f64 x (*.f64 x 9/40) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 9/40 (*.f64 x x) -1/2))
(fma.f64 x (*.f64 x 9/40) (fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 27/112000 (pow.f64 x 6) -1/2)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3))))))
(+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (+.f64 1 (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (*.f64 x x) (sin.f64 x))) (-.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 x) (*.f64 x (pow.f64 (cos.f64 x) 2)))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3))))))
(+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (+.f64 1 (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (*.f64 x x) (sin.f64 x))) (-.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 x) (*.f64 x (pow.f64 (cos.f64 x) 2)))))))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (-.f64 (tan.f64 x) x))
0.4b
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3)
1.5b
(-.f64 (tan.f64 x) x)
1.5b
(-.f64 (sin.f64 x) x)
Compiler

Compiled 51 to 19 computations (62.7% saved)

series22.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3)
8.0ms
x
@inf
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3)
3.0ms
x
@0
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3)
2.0ms
x
@0
(cbrt.f64 (-.f64 (tan.f64 x) x))
1.0ms
x
@inf
(cbrt.f64 (-.f64 (tan.f64 x) x))

rewrite60.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
932×pow1_binary64
877×add-log-exp_binary64
876×log1p-expm1-u_binary64
876×expm1-log1p-u_binary64
855×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0922
120117
2245317
Stop Event
node limit
Counts
2 → 52
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3)
(cbrt.f64 (-.f64 (tan.f64 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -1/2) (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -1/2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -3/2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2)) 3) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -1/2) 3) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2) 1) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -1/2)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (-.f64 (tan.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (tan.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2) (cbrt.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (pow.f64 (neg.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2)) (neg.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2) 1) (cbrt.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2) -1) (neg.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (tan.f64 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (tan.f64 x) x) 1/6) (pow.f64 (-.f64 (tan.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) 1/3) (pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) 2) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (tan.f64 x) x) 1/6) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (cbrt.f64 (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (tan.f64 x) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))))))

simplify39.0ms (0.2%)

Algorithm
egg-herbie
Rules
561×times-frac_binary64
505×associate-/l*_binary64
473×associate-/r*_binary64
465×associate-*r*_binary64
420×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
083316
1229266
2664234
32364188
Stop Event
node limit
Counts
60 → 67
Calls
Call 1
Inputs
(/.f64 3 (pow.f64 x 3))
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 6/5 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 4/25 (/.f64 1 (pow.f64 (cbrt.f64 3) 4))) (*.f64 58/525 (/.f64 1 (cbrt.f64 3)))) (cbrt.f64 3)) 9/175) x)) (*.f64 6/5 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 (+.f64 116/7875 (+.f64 (*.f64 -2/5 (/.f64 (-.f64 (*.f64 4/25 (/.f64 1 (pow.f64 (cbrt.f64 3) 4))) (*.f64 58/525 (/.f64 1 (cbrt.f64 3)))) (pow.f64 (cbrt.f64 3) 2))) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (/.f64 (-.f64 (*.f64 8/125 (/.f64 1 (pow.f64 (cbrt.f64 3) 6))) 2/45) (cbrt.f64 3))) (*.f64 116/2625 (/.f64 1 (pow.f64 (cbrt.f64 3) 4)))) (cbrt.f64 3)) (*.f64 1/3 (-.f64 (*.f64 8/125 (/.f64 1 (pow.f64 (cbrt.f64 3) 6))) 2/45))))) (pow.f64 x 3)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 4/25 (/.f64 1 (pow.f64 (cbrt.f64 3) 4))) (*.f64 58/525 (/.f64 1 (cbrt.f64 3)))) (cbrt.f64 3)) 9/175) x))) (*.f64 6/5 (/.f64 1 x)))
(*.f64 (cbrt.f64 1/3) x)
(+.f64 (*.f64 (cbrt.f64 1/3) x) (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))))
(+.f64 (*.f64 (cbrt.f64 1/3) x) (+.f64 (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))) (*.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)))))
(+.f64 (*.f64 (cbrt.f64 1/3) x) (+.f64 (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))) (+.f64 (*.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 866/70875 (*.f64 8/91125 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 6)))) (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/3) 2))))))
Outputs
(/.f64 3 (pow.f64 x 3))
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 6/5 (/.f64 1 x)))
(-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 6/5 x))
(+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -6/5 x))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 4/25 (/.f64 1 (pow.f64 (cbrt.f64 3) 4))) (*.f64 58/525 (/.f64 1 (cbrt.f64 3)))) (cbrt.f64 3)) 9/175) x)) (*.f64 6/5 (/.f64 1 x)))
(+.f64 (/.f64 3 (pow.f64 x 3)) (-.f64 (*.f64 x (fma.f64 (-.f64 (/.f64 4/25 (pow.f64 (cbrt.f64 3) 4)) (/.f64 58/525 (cbrt.f64 3))) (cbrt.f64 3) 9/175)) (/.f64 6/5 x)))
(+.f64 (/.f64 3 (pow.f64 x 3)) (fma.f64 x (fma.f64 (cbrt.f64 3) (+.f64 (/.f64 4/25 (*.f64 3 (cbrt.f64 3))) (/.f64 -58/525 (cbrt.f64 3))) 9/175) (/.f64 -6/5 x)))
(+.f64 (/.f64 3 (pow.f64 x 3)) (fma.f64 x (fma.f64 (cbrt.f64 3) (+.f64 (/.f64 4/75 (cbrt.f64 3)) (/.f64 -58/525 (cbrt.f64 3))) 9/175) (/.f64 -6/5 x)))
(+.f64 (/.f64 3 (pow.f64 x 3)) (fma.f64 x -1/175 (/.f64 -6/5 x)))
(-.f64 (+.f64 (*.f64 (+.f64 116/7875 (+.f64 (*.f64 -2/5 (/.f64 (-.f64 (*.f64 4/25 (/.f64 1 (pow.f64 (cbrt.f64 3) 4))) (*.f64 58/525 (/.f64 1 (cbrt.f64 3)))) (pow.f64 (cbrt.f64 3) 2))) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (/.f64 (-.f64 (*.f64 8/125 (/.f64 1 (pow.f64 (cbrt.f64 3) 6))) 2/45) (cbrt.f64 3))) (*.f64 116/2625 (/.f64 1 (pow.f64 (cbrt.f64 3) 4)))) (cbrt.f64 3)) (*.f64 1/3 (-.f64 (*.f64 8/125 (/.f64 1 (pow.f64 (cbrt.f64 3) 6))) 2/45))))) (pow.f64 x 3)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 4/25 (/.f64 1 (pow.f64 (cbrt.f64 3) 4))) (*.f64 58/525 (/.f64 1 (cbrt.f64 3)))) (cbrt.f64 3)) 9/175) x))) (*.f64 6/5 (/.f64 1 x)))
(-.f64 (fma.f64 (+.f64 116/7875 (fma.f64 -2/5 (/.f64 (-.f64 (/.f64 4/25 (pow.f64 (cbrt.f64 3) 4)) (/.f64 58/525 (cbrt.f64 3))) (pow.f64 (cbrt.f64 3) 2)) (fma.f64 (fma.f64 2/3 (/.f64 (+.f64 (/.f64 8/125 (pow.f64 (cbrt.f64 3) 6)) -2/45) (cbrt.f64 3)) (/.f64 116/2625 (pow.f64 (cbrt.f64 3) 4))) (cbrt.f64 3) (*.f64 (+.f64 (/.f64 8/125 (pow.f64 (cbrt.f64 3) 6)) -2/45) 1/3)))) (pow.f64 x 3) (+.f64 (/.f64 3 (pow.f64 x 3)) (*.f64 x (fma.f64 (-.f64 (/.f64 4/25 (pow.f64 (cbrt.f64 3) 4)) (/.f64 58/525 (cbrt.f64 3))) (cbrt.f64 3) 9/175)))) (/.f64 6/5 x))
(+.f64 (fma.f64 (pow.f64 x 3) (+.f64 (fma.f64 -2/5 (+.f64 (/.f64 4/25 (*.f64 (pow.f64 (cbrt.f64 3) 2) (*.f64 3 (cbrt.f64 3)))) -58/1575) (*.f64 (cbrt.f64 3) (+.f64 (/.f64 -28/1125 (cbrt.f64 3)) (/.f64 116/2625 (*.f64 3 (cbrt.f64 3)))))) 2/875) (fma.f64 x (fma.f64 (cbrt.f64 3) (+.f64 (/.f64 4/25 (*.f64 3 (cbrt.f64 3))) (/.f64 -58/525 (cbrt.f64 3))) 9/175) (/.f64 3 (pow.f64 x 3)))) (/.f64 -6/5 x))
(+.f64 (fma.f64 x (fma.f64 (cbrt.f64 3) (+.f64 (/.f64 4/75 (cbrt.f64 3)) (/.f64 -58/525 (cbrt.f64 3))) 9/175) (/.f64 3 (pow.f64 x 3))) (fma.f64 (pow.f64 x 3) (+.f64 (*.f64 (cbrt.f64 3) (+.f64 (/.f64 -28/1125 (cbrt.f64 3)) (/.f64 116/7875 (cbrt.f64 3)))) 26/2625) (/.f64 -6/5 x)))
(fma.f64 (pow.f64 x 3) (+.f64 194/7875 (/.f64 (*.f64 (cbrt.f64 3) -28/1125) (cbrt.f64 3))) (+.f64 (/.f64 3 (pow.f64 x 3)) (fma.f64 x -1/175 (/.f64 -6/5 x))))
(*.f64 (cbrt.f64 1/3) x)
(*.f64 x (cbrt.f64 1/3))
(+.f64 (*.f64 (cbrt.f64 1/3) x) (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))))
(fma.f64 (cbrt.f64 1/3) x (/.f64 (*.f64 2/45 (pow.f64 x 3)) (pow.f64 (cbrt.f64 1/3) 2)))
(fma.f64 x (cbrt.f64 1/3) (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))))
(fma.f64 x (cbrt.f64 1/3) (/.f64 (*.f64 (pow.f64 x 3) 2/45) (pow.f64 (cbrt.f64 1/3) 2)))
(+.f64 (*.f64 (cbrt.f64 1/3) x) (+.f64 (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))) (*.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)))))
(fma.f64 (cbrt.f64 1/3) x (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (*.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)))))
(fma.f64 x (cbrt.f64 1/3) (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (*.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)))))
(fma.f64 x (cbrt.f64 1/3) (fma.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)) (/.f64 (*.f64 (pow.f64 x 3) 2/45) (pow.f64 (cbrt.f64 1/3) 2))))
(+.f64 (*.f64 (cbrt.f64 1/3) x) (+.f64 (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))) (+.f64 (*.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 866/70875 (*.f64 8/91125 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 6)))) (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/3) 2))))))
(fma.f64 (cbrt.f64 1/3) x (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (fma.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)) (*.f64 1/3 (/.f64 (-.f64 866/70875 (/.f64 8/91125 (pow.f64 (cbrt.f64 1/3) 6))) (/.f64 (pow.f64 (cbrt.f64 1/3) 2) (pow.f64 x 7)))))))
(fma.f64 x (cbrt.f64 1/3) (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (fma.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)) (/.f64 (*.f64 2/525 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/3) 2)))))
(fma.f64 x (cbrt.f64 1/3) (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (fma.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)) (/.f64 (*.f64 (pow.f64 x 7) 2/525) (pow.f64 (cbrt.f64 1/3) 2)))))
(fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (fma.f64 x (cbrt.f64 1/3) (fma.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)) (*.f64 (/.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 1/3) 2)) 2/525))))

eval455.0ms (2.2%)

Compiler

Compiled 35143 to 12897 computations (63.3% saved)

prune170.0ms (0.8%)

Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New133431337
Fresh112
Picked011
Done077
Total1335121347
Error
0b
Counts
1347 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
34.0b
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
28.5b
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
29.9b
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))
29.9b
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
48.8b
(/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x))
34.8b
(-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
34.0b
(-.f64 (-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) 1/2)
29.5b
1
29.3b
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3) (-.f64 (sin.f64 x) x))
28.6b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
34.7b
-1/2
28.5b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
Compiler

Compiled 119 to 86 computations (27.7% saved)

localize28.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(*.f64 9/40 (*.f64 x x))
1.5b
(-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)
Compiler

Compiled 40 to 25 computations (37.5% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)
1.0ms
x
@0
(-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)
0.0ms
x
@-inf
(-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)

rewrite75.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
816×pow1_binary64
769×add-log-exp_binary64
768×log1p-expm1-u_binary64
768×expm1-log1p-u_binary64
756×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0813
11787
223987
Stop Event
node limit
Counts
1 → 46
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 9/40 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 9/40 (*.f64 x x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 9/40 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 9/40 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 9/40 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 9/40 (*.f64 x x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9/40 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 9/40 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 9/40)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 9/40 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) (cbrt.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 x (sqrt.f64 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 9/40 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 9/40 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 9/40))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 9/40))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 9/40 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 9/40 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 9/40 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 9/40 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 2) (-.f64 1 (*.f64 (fma.f64 9/40 (*.f64 x x) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 2) -1) (+.f64 (*.f64 9/40 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 2) -1) (-.f64 (fma.f64 9/40 (*.f64 x x) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 2) (+.f64 (*.f64 9/40 (*.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 9/40 (*.f64 x x) -1) (fma.f64 9/40 (*.f64 x x) -1)) (fma.f64 9/40 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 9/40 (*.f64 x x) -1) (fma.f64 9/40 (*.f64 x x) -1))) (-.f64 1 (fma.f64 9/40 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 9/40 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 81/1600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 9/40 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) 1) 2)) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 9/40))) (hypot.f64 1 (*.f64 x (sqrt.f64 9/40))) -1)))))

simplify198.0ms (1%)

Algorithm
egg-herbie
Rules
1082×sqr-pow_binary64
617×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
441×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
22384
34484
410584
533184
6125084
7212384
8228784
9247184
10267984
11297684
12337184
13385284
14441884
15510284
16593584
17632784
18661984
19689584
20696984
21700384
22794484
Stop Event
node limit
Counts
58 → 47
Calls
Call 1
Inputs
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
Outputs
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x))
0.0b
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))
1.5b
(-.f64 (tan.f64 x) x)
Compiler

Compiled 27 to 8 computations (70.4% saved)

series8.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x))
1.0ms
x
@0
(/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x))
1.0ms
x
@-inf
(/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x))
1.0ms
x
@0
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))
1.0ms
x
@-inf
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))

rewrite107.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
933×pow1_binary64
873×add-log-exp_binary64
873×log1p-expm1-u_binary64
873×expm1-log1p-u_binary64
95×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0825
118318
2293918
Stop Event
node limit
Counts
2 → 89
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))
(/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -2)) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (tan.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (tan.f64 x))) (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2))) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2))) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2))) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (neg.f64 (tan.f64 x)) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (+.f64 x (tan.f64 x)) 2)) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (tan.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) x) (neg.f64 (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 x (tan.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (tan.f64 x) x) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (tan.f64 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (tan.f64 x) x) 1) (/.f64 (/.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x (tan.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (tan.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (tan.f64 x)) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) 2) (neg.f64 (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (*.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 x (tan.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (tan.f64 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (tan.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (tan.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2)) -1) (/.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) -1) (/.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x))) (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) 2)) (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x (tan.f64 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x (tan.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (tan.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (/.f64 (+.f64 x (tan.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x (tan.f64 x)) x)))))))

simplify82.0ms (0.4%)

Algorithm
egg-herbie
Rules
809×associate-/l/_binary64
548×distribute-lft-out_binary64
439×associate-*l/_binary64
369×associate-*r/_binary64
343×associate-/r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
062446
1164432
2467426
32202396
46367396
Stop Event
node limit
Counts
113 → 114
Calls
Call 1
Inputs
(/.f64 -3 (pow.f64 x 2))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(*.f64 -1/3 (pow.f64 x 2))
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 -2/15 (pow.f64 x 4)))
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 -2/15 (pow.f64 x 4)) (*.f64 -17/315 (pow.f64 x 6))))
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 -2/15 (pow.f64 x 4)) (+.f64 (*.f64 -62/2835 (pow.f64 x 8)) (*.f64 -17/315 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
Outputs
(/.f64 -3 (pow.f64 x 2))
(/.f64 -3 (*.f64 x x))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 6/5 (/.f64 3 (*.f64 x x)))
(+.f64 6/5 (/.f64 -3 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 1/175 (*.f64 x x) 6/5) (/.f64 3 (*.f64 x x)))
(+.f64 (fma.f64 (*.f64 x x) 1/175 6/5) (/.f64 -3 (*.f64 x x)))
(+.f64 6/5 (fma.f64 x (*.f64 x 1/175) (/.f64 -3 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 1/175 (*.f64 x x) 6/5) (*.f64 2/7875 (pow.f64 x 4))) (/.f64 3 (*.f64 x x)))
(fma.f64 (*.f64 x x) 1/175 (+.f64 (fma.f64 2/7875 (pow.f64 x 4) 6/5) (/.f64 -3 (*.f64 x x))))
(+.f64 (fma.f64 (*.f64 x x) 1/175 6/5) (fma.f64 2/7875 (pow.f64 x 4) (/.f64 -3 (*.f64 x x))))
(+.f64 6/5 (fma.f64 2/7875 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/175) (/.f64 -3 (*.f64 x x)))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 1 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)))))
(+.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))) (pow.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) 3))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 1 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)))))
(+.f64 (+.f64 1 (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))) (pow.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) 3))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/3)
(*.f64 x (*.f64 x -1/3))
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (*.f64 -2/15 (pow.f64 x 4)))
(fma.f64 -1/3 (*.f64 x x) (*.f64 (pow.f64 x 4) -2/15))
(fma.f64 (*.f64 x x) -1/3 (*.f64 (pow.f64 x 4) -2/15))
(fma.f64 (pow.f64 x 4) -2/15 (*.f64 x (*.f64 x -1/3)))
(fma.f64 x (*.f64 x -1/3) (*.f64 (pow.f64 x 4) -2/15))
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 -2/15 (pow.f64 x 4)) (*.f64 -17/315 (pow.f64 x 6))))
(fma.f64 -1/3 (*.f64 x x) (fma.f64 -2/15 (pow.f64 x 4) (*.f64 -17/315 (pow.f64 x 6))))
(fma.f64 (*.f64 x x) -1/3 (fma.f64 (pow.f64 x 4) -2/15 (*.f64 -17/315 (pow.f64 x 6))))
(fma.f64 (pow.f64 x 4) -2/15 (fma.f64 -17/315 (pow.f64 x 6) (*.f64 x (*.f64 x -1/3))))
(fma.f64 (pow.f64 x 4) -2/15 (fma.f64 x (*.f64 x -1/3) (*.f64 -17/315 (pow.f64 x 6))))
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 (*.f64 -2/15 (pow.f64 x 4)) (+.f64 (*.f64 -62/2835 (pow.f64 x 8)) (*.f64 -17/315 (pow.f64 x 6)))))
(fma.f64 -1/3 (*.f64 x x) (fma.f64 -2/15 (pow.f64 x 4) (fma.f64 -62/2835 (pow.f64 x 8) (*.f64 -17/315 (pow.f64 x 6)))))
(fma.f64 (*.f64 x x) -1/3 (fma.f64 (pow.f64 x 4) -2/15 (fma.f64 -62/2835 (pow.f64 x 8) (*.f64 -17/315 (pow.f64 x 6)))))
(fma.f64 x (*.f64 x -1/3) (fma.f64 (pow.f64 x 4) -2/15 (fma.f64 -17/315 (pow.f64 x 6) (*.f64 -62/2835 (pow.f64 x 8)))))
(fma.f64 x (*.f64 x -1/3) (fma.f64 -17/315 (pow.f64 x 6) (fma.f64 -62/2835 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -2/15))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))
(-.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))

eval171.0ms (0.8%)

Compiler

Compiled 4310 to 2174 computations (49.6% saved)

prune75.0ms (0.4%)

Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New2830283
Fresh022
Picked011
Done099
Total28312295
Error
0b
Counts
295 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
34.0b
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
28.5b
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
29.9b
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))
29.9b
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
48.8b
(/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x))
34.8b
(-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
34.0b
(-.f64 (-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) 1/2)
29.5b
1
29.3b
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3) (-.f64 (sin.f64 x) x))
28.6b
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
34.7b
-1/2
28.5b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
Compiler

Compiled 119 to 86 computations (27.7% saved)

regimes185.0ms (0.9%)

Counts
19 → 3
Calls
Call 1
Inputs
1
1
-1/2
1
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
(-.f64 (-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) 1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))
(-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
(/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3) (-.f64 (sin.f64 x) x))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))
Outputs
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
(-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
Calls

3 calls:

106.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
58.0ms
x
11.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Results
ErrorSegmentsBranch
0.0b3x
0.3b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
0.3b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 189 to 93 computations (50.8% saved)

bsearch135.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
70.0ms
0.0017676360683135392
1229259.9043542584
64.0ms
-0.38924124268656957
-0.00018428811975539547
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes86.0ms (0.4%)

Counts
12 → 3
Calls
Call 1
Inputs
1
1
-1/2
1
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
(-.f64 (-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) 1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))
(-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Outputs
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
Calls

3 calls:

57.0ms
x
13.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
10.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Results
ErrorSegmentsBranch
0.0b3x
0.3b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
0.3b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 100 to 59 computations (41% saved)

bsearch204.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
135.0ms
0.0017676360683135392
1229259.9043542584
70.0ms
-0.38924124268656957
-0.00018428811975539547
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes59.0ms (0.3%)

Counts
10 → 3
Calls
Call 1
Inputs
1
1
-1/2
1
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
(-.f64 (-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) 1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))
(-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
Outputs
1
(-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))
Calls

1 calls:

54.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 62 to 41 computations (33.9% saved)

bsearch220.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
60.0ms
0.0017676360683135392
1229259.9043542584
160.0ms
-178.07049054113483
-0.38924124268656957
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes51.0ms (0.3%)

Counts
9 → 3
Calls
Call 1
Inputs
1
1
-1/2
1
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
(-.f64 (-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) 1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))
Outputs
1
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))
Calls

1 calls:

33.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 47 to 30 computations (36.2% saved)

bsearch143.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
56.0ms
0.0017676360683135392
1229259.9043542584
87.0ms
-178.07049054113483
-0.38924124268656957
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes82.0ms (0.4%)

Counts
8 → 3
Calls
Call 1
Inputs
1
1
-1/2
1
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
(-.f64 (-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) 1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
Outputs
1
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
Calls

1 calls:

79.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch70.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
35.0ms
0.0017676360683135392
1229259.9043542584
35.0ms
-178.07049054113483
-0.38924124268656957
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes98.0ms (0.5%)

Counts
7 → 3
Calls
Call 1
Inputs
1
1
-1/2
1
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
(-.f64 (-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) 1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
Outputs
1
(-.f64 (*.f64 9/40 (*.f64 x x)) 1/2)
1
Calls

1 calls:

95.0ms
x
Results
ErrorSegmentsBranch
1.0b3x
Compiler

Compiled 31 to 23 computations (25.8% saved)

bsearch306.0ms (1.5%)

Algorithm
binary-search
Steps
TimeLeftRight
204.0ms
0.0017676360683135392
1229259.9043542584
101.0ms
-178.07049054113483
-0.38924124268656957
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes25.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
1
1
-1/2
1
Outputs
1
-1/2
1
Calls

1 calls:

23.0ms
x
Results
ErrorSegmentsBranch
1.3b3x
Compiler

Compiled 7 to 6 computations (14.3% saved)

bsearch88.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
33.0ms
0.0017676360683135392
1229259.9043542584
54.0ms
-178.07049054113483
-0.38924124268656957
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
1
1
Outputs
1
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
29.5b1x
Compiler

Compiled 5 to 4 computations (20% saved)

simplify15.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049281
165281
273281
376281
477281
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 x -3505973431040927/9007199254740992) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) (if (<=.f64 x 2037945635477377/1152921504606846976) (-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))))
(if (<=.f64 x -3505973431040927/9007199254740992) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 2037945635477377/1152921504606846976) (-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) (-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))))
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))))
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 1))
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) -1/2 1))
1
Outputs
(if (<=.f64 x -3505973431040927/9007199254740992) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) (if (<=.f64 x 2037945635477377/1152921504606846976) (-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))))
(if (<=.f64 x -3505973431040927/9007199254740992) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) (if (<=.f64 x 2037945635477377/1152921504606846976) (+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))))
(if (<=.f64 x -3505973431040927/9007199254740992) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 2037945635477377/1152921504606846976) (-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -3505973431040927/9007199254740992) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 2037945635477377/1152921504606846976) (+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) (-.f64 (+.f64 (+.f64 0 (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))))
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) (+.f64 (+.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))))
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))))
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) (+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))))
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) (+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) (-.f64 (*.f64 9/40 (*.f64 x x)) 1/2) 1))
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) (+.f64 (*.f64 9/40 (*.f64 x x)) -1/2) 1))
(if (<=.f64 x -6265298397240127/35184372088832) 1 (if (<=.f64 x 2037945635477377/1152921504606846976) -1/2 1))
1
Compiler

Compiled 198 to 134 computations (32.3% saved)

soundness632.0ms (3.1%)

Algorithm
egg-herbie
Rules
583×fma-neg_binary64
583×fma-neg_binary64
430×fma-def_binary64
430×fma-def_binary64
418×div-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
11414
22414
34114
47514
513014
626014
754614
8142014
9256614
10339214
11375714
12388614
13391314
14392314
15392714
16392714
0714
11414
22414
34114
47514
513014
626014
754614
8142014
9256614
10339214
11375714
12388614
13391314
14392314
15392714
16392714
Stop Event
saturated
saturated
Compiler

Compiled 392 to 264 computations (32.7% saved)

end96.0ms (0.5%)

Compiler

Compiled 191 to 109 computations (42.9% saved)

Profiling

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