Details

Time bar (total: 17.3s)

analyze551.0ms (3.2%)

Algorithm
1×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)

sample8.9s (51.2%)

Results
5.4s2122×body2048valid
2.3s3095×body1024valid
559.0ms1482×body512valid
381.0ms1443×body256valid
259.0ms114×body4096valid

preprocess70.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
583×fma-neg_binary64
430×fma-def_binary64
421×div-sub_binary64
332×times-frac_binary64
157×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
11414
22414
34114
47514
513014
626014
754314
8132214
9247914
10329414
11365914
12378814
13381514
14382514
15382914
16382914
011
Stop Event
1×saturated
1×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)

simplify58.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
583×fma-neg_binary64
430×fma-def_binary64
421×div-sub_binary64
332×times-frac_binary64
157×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
11414
22414
34114
47514
513014
626014
754314
8132214
9247914
10329414
11365914
12378814
13381514
14382514
15382914
16382914
Stop Event
1×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)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
35.5b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶35.5b
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 10 to 6 computations (40% saved)

localize11.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
1.9b
(-.f64 x (sin.f64 x))
1.9b
(-.f64 x (tan.f64 x))
0.0b
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓0.0b
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓1.9b
(-.f64 x (tan.f64 x))
✓1.9b
(-.f64 x (sin.f64 x))
Compiler

Compiled 23 to 6 computations (73.9% saved)

series6.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite161.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
982×prod-diff_binary64
481×log-prod_binary64
338×fma-def_binary64
254×pow2_binary64
227×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0726
117026
2277926
Stop Event
1×node limit
Counts
3 → 420
Calls
Call 1
Inputs
(-.f64 x (sin.f64 x))
(-.f64 x (tan.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Outputs
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(-.f64 x (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) (pow.f64 (-.f64 x (tan.f64 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) (pow.f64 (-.f64 x (tan.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (-.f64 x (tan.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (-.f64 x (tan.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 x (tan.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 x (tan.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (-.f64 x (tan.f64 x)))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 x (tan.f64 x)))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)))) (neg.f64 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(tan.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))))))

simplify63.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
597×div-sub_binary64
510×times-frac_binary64
485×fma-def_binary64
285×associate-/l*_binary64
216×distribute-neg-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
098678
1293602
2961568
34813540
Stop Event
1×node limit
Counts
456 → 457
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 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) 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 -62/2835 (pow.f64 x 9)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2/15 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
x
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) 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 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))
(fma.f64 -1/120 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) (*.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 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))
(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 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) (*.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)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 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 -62/2835 (pow.f64 x 9)) (+.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 -62/2835 (pow.f64 x 9) (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 9) -62/2835 (fma.f64 (pow.f64 x 3) -1/3 (*.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))))
x
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
x
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)
(fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 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))
(fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 9/40 (*.f64 x x) -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 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 1 (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 (/.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 (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 (/.f64 (sin.f64 x) (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 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 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 (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 1 (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 (/.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 (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 (/.f64 (sin.f64 x) (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 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)))))))

eval176.0ms (1%)

Compiler

Compiled 17090 to 4748 computations (72.2% saved)

prune76.0ms (0.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New44413457
Fresh000
Picked011
Done000
Total44414458
Error
0.0b
Counts
458 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
28.0b
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
▶49.9b
(/.f64 (-.f64 x (sin.f64 x)) (fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 x (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
▶35.5b
(pow.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) -1)
34.9b
(/.f64 (-.f64 x (sin.f64 x)) (fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2) (cbrt.f64 (-.f64 x (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
35.9b
1
✓35.5b
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
51.3b
(+.f64 (fma.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)))) (neg.f64 (*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2))))) (fma.f64 (neg.f64 (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 x (tan.f64 x))))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)))))
▶36.3b
(/.f64 x (-.f64 x (tan.f64 x)))
▶27.5b
(fma.f64 x (*.f64 x 9/40) -1/2)
52.2b
(/.f64 (exp.f64 (log.f64 (-.f64 x (sin.f64 x)))) (-.f64 x (tan.f64 x)))
27.9b
-1/2
51.3b
(+.f64 (fma.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)))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (-.f64 x (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (-.f64 x (tan.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (-.f64 x (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1))))
▶59.3b
(/.f64 (pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) 1/3) (-.f64 x (tan.f64 x)))
34.4b
(/.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) x))
Compiler

Compiled 604 to 312 computations (48.3% saved)

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x 9/40)
0.0b
(fma.f64 x (*.f64 x 9/40) -1/2)
✓0.0b
(fma.f64 x (*.f64 x 9/40) -1/2)
✓0.1b
(*.f64 x 9/40)
Compiler

Compiled 13 to 9 computations (30.8% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite53.0ms (0.3%)

Algorithm
1×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
1×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 (*.f64 81/1600 (*.f64 x x)))))) (#(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 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 expm1.f64 (log1p.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 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)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))))

simplify141.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1106×sqr-pow_binary64
618×cube-prod_binary64
554×fabs-mul_binary64
536×pow-sqr_binary64
450×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010135
120135
230135
351135
4116135
5331135
61256135
72155135
82319135
92503135
102711135
113004135
123397135
133877135
144440135
155128135
165963135
176357135
186645135
196921135
206991135
217025135
227966135
Stop Event
1×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)

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.9b
(-.f64 x (tan.f64 x))
0.0b
(/.f64 x (-.f64 x (tan.f64 x)))
✓0.0b
(/.f64 x (-.f64 x (tan.f64 x)))
1.9b
(-.f64 x (tan.f64 x))
Compiler

Compiled 14 to 4 computations (71.4% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite42.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
762×pow1_binary64
712×add-log-exp_binary64
712×log1p-expm1-u_binary64
712×expm1-log1p-u_binary64
697×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
11199
218369
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 x (-.f64 x (tan.f64 x)))
Outputs
((#(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 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 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 (neg.f64 x) (/.f64 1 (neg.f64 (-.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 (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 (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) (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 (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) (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 x (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 (*.f64 x x) (pow.f64 (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 (neg.f64 (-.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 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 expm1.f64 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))))))

simplify43.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
790×associate-/l/_binary64
760×fma-def_binary64
731×associate-*l*_binary64
612×associate-*r*_binary64
409×associate-*l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041278
1114276
2326270
31705240
47783240
Stop Event
1×node limit
Counts
45 → 48
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 x (*.f64 x 1/175) (/.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)))
(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 2/7875 (pow.f64 x 4) 6/5) (fma.f64 x (*.f64 x 1/175) (/.f64 -3 (*.f64 x x))))
(+.f64 6/5 (fma.f64 2/7875 (pow.f64 x 4) (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 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 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) (*.f64 x x)) (pow.f64 (cos.f64 x) 2))))
(+.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 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 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 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (+.f64 1 (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 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 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) (*.f64 x x)) (pow.f64 (cos.f64 x) 2))))
(+.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 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 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 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (+.f64 1 (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)))))

localize29.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
1.9b
(-.f64 x (sin.f64 x))
1.9b
(-.f64 x (tan.f64 x))
0.0b
(/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))
0.0b
(pow.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) -1)
✓0.0b
(pow.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) -1)
✓0.0b
(/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))
1.9b
(-.f64 x (tan.f64 x))
1.9b
(-.f64 x (sin.f64 x))
Compiler

Compiled 35 to 9 computations (74.3% saved)

series7.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite196.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
982×prod-diff_binary64
547×log-prod_binary64
343×fma-def_binary64
224×egg-rr
197×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0931
121228
2323528
Stop Event
1×node limit
Counts
2 → 274
Calls
Call 1
Inputs
(/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))
(pow.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (-.f64 x (sin.f64 x))))) (/.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 x (sin.f64 x))) (neg.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 1 (-.f64 x (sin.f64 x))) (neg.f64 (*.f64 (/.f64 1 (-.f64 x (sin.f64 x))) (tan.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 x (sin.f64 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simplify62.0ms (0.4%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01191051
1392872
21676760
Stop Event
1×node limit
Counts
298 → 308
Calls
Call 1
Inputs
-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)))))
-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)))))))
Outputs
-2
(-.f64 (*.f64 -9/10 (pow.f64 x 2)) 2)
(fma.f64 -9/10 (*.f64 x x) -2)
(-.f64 (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2))) 2)
(+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (fma.f64 -9/10 (*.f64 x x) -2))
(fma.f64 -513/1400 (pow.f64 x 4) (fma.f64 -9/10 (*.f64 x x) -2))
(fma.f64 -9/10 (*.f64 x x) (fma.f64 -513/1400 (pow.f64 x 4) -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 -9/10 (*.f64 x x)))) -2)
(fma.f64 -297/2000 (pow.f64 x 6) (fma.f64 -513/1400 (pow.f64 x 4) (fma.f64 -9/10 (*.f64 x x) -2)))
(fma.f64 -297/2000 (pow.f64 x 6) (fma.f64 -9/10 (*.f64 x x) (fma.f64 -513/1400 (pow.f64 x 4) -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 (/.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 (+.f64 (+.f64 1 (/.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)) (*.f64 x (cos.f64 x)))) (/.f64 (neg.f64 (sin.f64 x)) x))
(+.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(-.f64 1 (*.f64 (+.f64 (/.f64 (sin.f64 x) x) 1) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (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 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 2))) (-.f64 (+.f64 (+.f64 1 (/.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)) (*.f64 x (cos.f64 x)))) (/.f64 (neg.f64 (sin.f64 x)) x)))
(+.f64 (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (pow.f64 (sin.f64 x) 2)) (+.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 1 (/.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))) 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 (/.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 (+.f64 (+.f64 1 (/.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)) (*.f64 x (cos.f64 x)))) (/.f64 (neg.f64 (sin.f64 x)) x))
(+.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(-.f64 1 (*.f64 (+.f64 (/.f64 (sin.f64 x) x) 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)))))
(+.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))) (-.f64 (+.f64 (+.f64 1 (/.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)) (*.f64 x (cos.f64 x)))) (/.f64 (neg.f64 (sin.f64 x)) x)))
(+.f64 (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (pow.f64 (sin.f64 x) 2)) (+.f64 (/.f64 (sin.f64 x) (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (-.f64 1 (/.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))) 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)))))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 (*.f64 x x) 9/40 -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 (pow.f64 x 4) -27/2800)) -1/2)
(fma.f64 (*.f64 x x) 9/40 (fma.f64 (pow.f64 x 4) -27/2800 -1/2))
(fma.f64 (pow.f64 x 4) -27/2800 (fma.f64 x (*.f64 x 9/40) -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 (pow.f64 x 6) 27/112000))) -1/2)
(+.f64 (fma.f64 (pow.f64 x 4) -27/2800 (*.f64 (pow.f64 x 6) 27/112000)) (fma.f64 (*.f64 x x) 9/40 -1/2))
(fma.f64 x (*.f64 x 9/40) (fma.f64 (pow.f64 x 4) -27/2800 (fma.f64 (pow.f64 x 6) 27/112000 -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 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (/.f64 (+.f64 (*.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x))) 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 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.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)))))) (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 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (/.f64 (+.f64 (*.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x))) 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 (sin.f64 x) (/.f64 (pow.f64 x 3) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))))
(+.f64 (*.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 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (-.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 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3)) (/.f64 (sin.f64 x) (/.f64 (/.f64 (pow.f64 x 3) (-.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 (*.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 -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 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (/.f64 (+.f64 (*.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x))) x))))

localize21.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
1.9b
(-.f64 x (sin.f64 x))
1.9b
(-.f64 x (tan.f64 x))
0.0b
(pow.f64 (-.f64 x (sin.f64 x)) 3)
0.0b
(/.f64 (pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) 1/3) (-.f64 x (tan.f64 x)))
✓0.0b
(pow.f64 (-.f64 x (sin.f64 x)) 3)
1.9b
(-.f64 x (tan.f64 x))
1.9b
(-.f64 x (sin.f64 x))
✓16.6b
(pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) 1/3)
Compiler

Compiled 43 to 18 computations (58.1% saved)

series8.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) 1/3)
2.0ms
x
@0
(pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) 1/3)
2.0ms
x
@inf
(pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) 1/3)
1.0ms
x
@-inf
(pow.f64 (-.f64 x (sin.f64 x)) 3)
0.0ms
x
@inf
(pow.f64 (-.f64 x (sin.f64 x)) 3)

rewrite65.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
782×pow1_binary64
741×add-log-exp_binary64
741×log1p-expm1-u_binary64
741×expm1-log1p-u_binary64
724×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
118715
2202715
Stop Event
1×node limit
Counts
2 → 66
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) 1/3)
(pow.f64 (-.f64 x (sin.f64 x)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 x (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) 2)) (cbrt.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (sqrt.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) 2) 1/3) (cbrt.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (-.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (+.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 x (neg.f64 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 x (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (sin.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (pow.f64 (-.f64 x (sin.f64 x)) 2)) (*.f64 (neg.f64 (sin.f64 x)) (pow.f64 (-.f64 x (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (-.f64 x (sin.f64 x)) 2) x) (*.f64 (pow.f64 (-.f64 x (sin.f64 x)) 2) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (-.f64 x (sin.f64 x)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (sin.f64 x)) (pow.f64 (-.f64 x (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 x (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 x (sin.f64 x)) 2) (-.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (pow.f64 (-.f64 x (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (*.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (pow.f64 (-.f64 x (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3/2) (pow.f64 (-.f64 x (sin.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) 2)) 3) (-.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) 3) (pow.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 x (sin.f64 x)) 2) 1) (-.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 x (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) 2))) (cbrt.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 x (sin.f64 x)) 2) (sqrt.f64 (-.f64 x (sin.f64 x)))) (sqrt.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) 3) (pow.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) 3) (pow.f64 (+.f64 x (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (pow.f64 (-.f64 x (sin.f64 x)) 2)) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 x (sin.f64 x)) 2)) (+.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 x (sin.f64 x)) 2) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 x (sin.f64 x)) 2) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (+.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (-.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3)))))))

simplify60.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
910×fma-def_binary64
605×associate-*r*_binary64
582×associate-*l*_binary64
532×times-frac_binary64
414×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0139832
1443778
21615720
Stop Event
1×node limit
Counts
90 → 103
Calls
Call 1
Inputs
(*.f64 (cbrt.f64 1/216) (pow.f64 x 3))
(+.f64 (*.f64 (cbrt.f64 1/216) (pow.f64 x 3)) (*.f64 -1/4320 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/216) 2))))
(+.f64 (*.f64 (cbrt.f64 1/216) (pow.f64 x 3)) (+.f64 (*.f64 -1/4320 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/216) 2))) (*.f64 1/181440 (/.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 1/216) 2)))))
(+.f64 (*.f64 (cbrt.f64 1/216) (pow.f64 x 3)) (+.f64 (*.f64 -1/4320 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/216) 2))) (+.f64 (*.f64 1/181440 (/.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 1/216) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/80621568000 (/.f64 1 (pow.f64 (cbrt.f64 1/216) 6))) 11/13608000) (pow.f64 x 9)) (pow.f64 (cbrt.f64 1/216) 2))))))
x
(+.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x)))) x)
(+.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x)))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))) (*.f64 1/3 (pow.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) 2))) x)) x))
(+.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x)))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 2/3 (*.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))) (*.f64 1/3 (pow.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) 2))))) (*.f64 1/27 (pow.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) 3)))) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))) (*.f64 1/3 (pow.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) 2))) x)) x)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) x))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/3 (*.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 (+.f64 (*.f64 -2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1 (pow.f64 (sin.f64 x) 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) 2)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) x))) (+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/3 (*.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 (+.f64 (*.f64 -2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1 (pow.f64 (sin.f64 x) 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) 2)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) x))) (+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (+.f64 (*.f64 1/3 (*.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (*.f64 1/3 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 1/27 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) 3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (*.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) (-.f64 (+.f64 (*.f64 -2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1 (pow.f64 (sin.f64 x) 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) 2))))))))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))))))
(*.f64 1/216 (pow.f64 x 9))
(+.f64 (*.f64 1/216 (pow.f64 x 9)) (*.f64 -1/1440 (pow.f64 x 11)))
(+.f64 (*.f64 1/216 (pow.f64 x 9)) (+.f64 (*.f64 31/604800 (pow.f64 x 13)) (*.f64 -1/1440 (pow.f64 x 11))))
(+.f64 (*.f64 1/216 (pow.f64 x 9)) (+.f64 (*.f64 31/604800 (pow.f64 x 13)) (+.f64 (*.f64 -67/27216000 (pow.f64 x 15)) (*.f64 -1/1440 (pow.f64 x 11)))))
(pow.f64 x 3)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))) x) (+.f64 (*.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) (pow.f64 x 2)) (pow.f64 x 3)))
(+.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))) x) (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) (pow.f64 x 2)) (pow.f64 x 3))))
(pow.f64 x 3)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1 (pow.f64 (sin.f64 x) 2))) x)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) (pow.f64 x 2)) (pow.f64 x 3)))
(+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1 (pow.f64 (sin.f64 x) 2))) x)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) (pow.f64 x 2)) (pow.f64 x 3))))
Outputs
(*.f64 (cbrt.f64 1/216) (pow.f64 x 3))
(+.f64 (*.f64 (cbrt.f64 1/216) (pow.f64 x 3)) (*.f64 -1/4320 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/216) 2))))
(fma.f64 (cbrt.f64 1/216) (pow.f64 x 3) (*.f64 -1/4320 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/216) 2))))
(fma.f64 (cbrt.f64 1/216) (pow.f64 x 3) (/.f64 -1/4320 (/.f64 (pow.f64 (cbrt.f64 1/216) 2) (pow.f64 x 5))))
(fma.f64 (cbrt.f64 1/216) (pow.f64 x 3) (/.f64 (pow.f64 x 5) (/.f64 (pow.f64 (cbrt.f64 1/216) 2) -1/4320)))
(+.f64 (*.f64 (cbrt.f64 1/216) (pow.f64 x 3)) (+.f64 (*.f64 -1/4320 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/216) 2))) (*.f64 1/181440 (/.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 1/216) 2)))))
(fma.f64 (cbrt.f64 1/216) (pow.f64 x 3) (fma.f64 -1/4320 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/216) 2)) (*.f64 1/181440 (/.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 1/216) 2)))))
(fma.f64 (cbrt.f64 1/216) (pow.f64 x 3) (fma.f64 -1/4320 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/216) 2)) (/.f64 (*.f64 1/181440 (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/216) 2))))
(+.f64 (*.f64 (cbrt.f64 1/216) (pow.f64 x 3)) (+.f64 (*.f64 -1/4320 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/216) 2))) (+.f64 (*.f64 1/181440 (/.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 1/216) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 1/80621568000 (/.f64 1 (pow.f64 (cbrt.f64 1/216) 6))) 11/13608000) (pow.f64 x 9)) (pow.f64 (cbrt.f64 1/216) 2))))))
(fma.f64 (cbrt.f64 1/216) (pow.f64 x 3) (fma.f64 -1/4320 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/216) 2)) (fma.f64 1/181440 (/.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 1/216) 2)) (*.f64 1/3 (/.f64 (+.f64 (/.f64 1/80621568000 (pow.f64 (cbrt.f64 1/216) 6)) -11/13608000) (/.f64 (pow.f64 (cbrt.f64 1/216) 2) (pow.f64 x 9)))))))
(fma.f64 (cbrt.f64 1/216) (pow.f64 x 3) (fma.f64 -1/4320 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/216) 2)) (fma.f64 1/181440 (/.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 1/216) 2)) (/.f64 (*.f64 -1/13063680 (pow.f64 x 9)) (pow.f64 (cbrt.f64 1/216) 2)))))
(fma.f64 (cbrt.f64 1/216) (pow.f64 x 3) (fma.f64 1/181440 (/.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 1/216) 2)) (fma.f64 -1/4320 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/216) 2)) (*.f64 (/.f64 -1/13063680 (pow.f64 (cbrt.f64 1/216) 2)) (pow.f64 x 9)))))
x
(+.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x)))) x)
(fma.f64 1/3 (*.f64 (sin.f64 x) -3) x)
(+.f64 x (neg.f64 (sin.f64 x)))
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x)))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))) (*.f64 1/3 (pow.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) 2))) x)) x))
(fma.f64 1/3 (*.f64 (sin.f64 x) -3) (fma.f64 1/3 (/.f64 (+.f64 (*.f64 3 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/3 (pow.f64 (*.f64 (sin.f64 x) -3) 2))) x) x))
(+.f64 (neg.f64 (sin.f64 x)) (fma.f64 1/3 (/.f64 (fma.f64 3 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9) -1/3)) x) x))
(-.f64 (fma.f64 1/3 (/.f64 (fma.f64 3 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) -3)) x) x) (sin.f64 x))
(+.f64 (*.f64 1/3 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x)))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 2/3 (*.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))) (*.f64 1/3 (pow.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) 2))))) (*.f64 1/27 (pow.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) 3)))) (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))) (*.f64 1/3 (pow.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) 2))) x)) x)))
(fma.f64 1/3 (*.f64 (sin.f64 x) -3) (fma.f64 1/3 (/.f64 (-.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (fma.f64 2/3 (*.f64 (*.f64 (sin.f64 x) -3) (+.f64 (*.f64 3 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/3 (pow.f64 (*.f64 (sin.f64 x) -3) 2)))) (*.f64 1/27 (pow.f64 (*.f64 (sin.f64 x) -3) 3)))) (*.f64 x x)) (fma.f64 1/3 (/.f64 (+.f64 (*.f64 3 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/3 (pow.f64 (*.f64 (sin.f64 x) -3) 2))) x) x)))
(+.f64 (neg.f64 (sin.f64 x)) (fma.f64 1/3 (/.f64 (-.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (fma.f64 2/3 (*.f64 (*.f64 (sin.f64 x) -3) (fma.f64 3 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9) -1/3))) (*.f64 1/27 (pow.f64 (*.f64 (sin.f64 x) -3) 3)))) (*.f64 x x)) (fma.f64 1/3 (/.f64 (fma.f64 3 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9) -1/3)) x) x)))
(fma.f64 1/3 (+.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (fma.f64 (*.f64 (sin.f64 x) -2) (fma.f64 3 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) -3)) (neg.f64 (pow.f64 (sin.f64 x) 3)))) (*.f64 x x)) (/.f64 (fma.f64 3 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (sin.f64 x) 2) -3)) x)) (-.f64 x (sin.f64 x)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) x))
(neg.f64 (*.f64 x (cbrt.f64 -1)))
(*.f64 x (neg.f64 (cbrt.f64 -1)))
(*.f64 (cbrt.f64 -1) (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/3 (*.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))
(fma.f64 -1 (*.f64 x (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (*.f64 (sin.f64 x) -3) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))
(-.f64 (*.f64 (neg.f64 (sin.f64 x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 x (cbrt.f64 -1)))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 (+.f64 (*.f64 -2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1 (pow.f64 (sin.f64 x) 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) 2)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) x))) (+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (*.f64 1/3 (*.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))))
(fma.f64 -1/3 (/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -3) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (*.f64 (sin.f64 x) -3) 2))) (*.f64 x (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 -1 (*.f64 x (cbrt.f64 -1)) (*.f64 1/3 (*.f64 (*.f64 (sin.f64 x) -3) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 -1/3 (/.f64 (fma.f64 (pow.f64 (sin.f64 x) 2) -3 (*.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (*.f64 (pow.f64 (sin.f64 x) 2) 9))) (*.f64 x (pow.f64 (cbrt.f64 -1) 2))) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 x (cbrt.f64 -1))))
(fma.f64 x (neg.f64 (cbrt.f64 -1)) (fma.f64 (neg.f64 (sin.f64 x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (+.f64 (*.f64 1 (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 1 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 (+.f64 (*.f64 -2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1 (pow.f64 (sin.f64 x) 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) 2)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) x))) (+.f64 (*.f64 -1 (*.f64 (cbrt.f64 -1) x)) (+.f64 (*.f64 1/3 (*.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (*.f64 1/3 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 1/27 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) 3) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (*.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) (-.f64 (+.f64 (*.f64 -2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1 (pow.f64 (sin.f64 x) 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) 2))))))))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2)))))))
(fma.f64 -1/3 (/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -3) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (*.f64 (sin.f64 x) -3) 2))) (*.f64 x (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 -1 (*.f64 x (cbrt.f64 -1)) (*.f64 1/3 (+.f64 (*.f64 (*.f64 (sin.f64 x) -3) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (/.f64 (-.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (fma.f64 1/27 (/.f64 (pow.f64 (*.f64 (sin.f64 x) -3) 3) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 2/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (*.f64 (sin.f64 x) -3)) (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -3) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (pow.f64 (*.f64 (sin.f64 x) -3) 2))))))) (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 -1/3 (/.f64 (fma.f64 (pow.f64 (sin.f64 x) 2) -3 (*.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (*.f64 (pow.f64 (sin.f64 x) 2) 9))) (*.f64 x (pow.f64 (cbrt.f64 -1) 2))) (-.f64 (fma.f64 1/3 (/.f64 (-.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (fma.f64 2/3 (*.f64 (fma.f64 (pow.f64 (sin.f64 x) 2) -3 (*.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (*.f64 (pow.f64 (sin.f64 x) 2) 9))) (*.f64 (*.f64 (sin.f64 x) -3) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (*.f64 1/27 (/.f64 (pow.f64 (*.f64 (sin.f64 x) -3) 3) (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 x (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (neg.f64 (sin.f64 x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 x (cbrt.f64 -1))))
(fma.f64 -1/3 (/.f64 (*.f64 (*.f64 (sin.f64 x) -3) (-.f64 (sin.f64 x) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (neg.f64 (sin.f64 x))))) (*.f64 x (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 -1) 2)) (neg.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 (*.f64 (sin.f64 x) (*.f64 -2 (*.f64 (*.f64 (sin.f64 x) -3) (-.f64 (sin.f64 x) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (neg.f64 (sin.f64 x))))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 x x))) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 x (cbrt.f64 -1)))))
(*.f64 1/216 (pow.f64 x 9))
(+.f64 (*.f64 1/216 (pow.f64 x 9)) (*.f64 -1/1440 (pow.f64 x 11)))
(fma.f64 1/216 (pow.f64 x 9) (*.f64 -1/1440 (pow.f64 x 11)))
(fma.f64 -1/1440 (pow.f64 x 11) (*.f64 1/216 (pow.f64 x 9)))
(+.f64 (*.f64 1/216 (pow.f64 x 9)) (+.f64 (*.f64 31/604800 (pow.f64 x 13)) (*.f64 -1/1440 (pow.f64 x 11))))
(fma.f64 1/216 (pow.f64 x 9) (fma.f64 31/604800 (pow.f64 x 13) (*.f64 -1/1440 (pow.f64 x 11))))
(fma.f64 1/216 (pow.f64 x 9) (fma.f64 -1/1440 (pow.f64 x 11) (*.f64 31/604800 (pow.f64 x 13))))
(+.f64 (*.f64 1/216 (pow.f64 x 9)) (+.f64 (*.f64 31/604800 (pow.f64 x 13)) (+.f64 (*.f64 -67/27216000 (pow.f64 x 15)) (*.f64 -1/1440 (pow.f64 x 11)))))
(fma.f64 1/216 (pow.f64 x 9) (fma.f64 31/604800 (pow.f64 x 13) (fma.f64 -67/27216000 (pow.f64 x 15) (*.f64 -1/1440 (pow.f64 x 11)))))
(fma.f64 1/216 (pow.f64 x 9) (fma.f64 31/604800 (pow.f64 x 13) (fma.f64 -1/1440 (pow.f64 x 11) (*.f64 -67/27216000 (pow.f64 x 15)))))
(fma.f64 1/216 (pow.f64 x 9) (fma.f64 -1/1440 (pow.f64 x 11) (fma.f64 31/604800 (pow.f64 x 13) (*.f64 -67/27216000 (pow.f64 x 15)))))
(pow.f64 x 3)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) (pow.f64 x 2)) (pow.f64 x 3))
(fma.f64 (*.f64 (sin.f64 x) -3) (*.f64 x x) (pow.f64 x 3))
(*.f64 (*.f64 x x) (+.f64 x (*.f64 (sin.f64 x) -3)))
(*.f64 x (*.f64 x (fma.f64 (sin.f64 x) -3 x)))
(+.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))) x) (+.f64 (*.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) (pow.f64 x 2)) (pow.f64 x 3)))
(fma.f64 (*.f64 3 (pow.f64 (sin.f64 x) 2)) x (fma.f64 (*.f64 (sin.f64 x) -3) (*.f64 x x) (pow.f64 x 3)))
(fma.f64 x (*.f64 3 (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 x x) (+.f64 x (*.f64 (sin.f64 x) -3))))
(fma.f64 (*.f64 x 3) (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (fma.f64 (sin.f64 x) -3 x))))
(+.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))) x) (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) (pow.f64 x 2)) (pow.f64 x 3))))
(fma.f64 (*.f64 3 (pow.f64 (sin.f64 x) 2)) x (fma.f64 -1 (pow.f64 (sin.f64 x) 3) (fma.f64 (*.f64 (sin.f64 x) -3) (*.f64 x x) (pow.f64 x 3))))
(fma.f64 x (*.f64 3 (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (*.f64 x x) (+.f64 x (*.f64 (sin.f64 x) -3))) (pow.f64 (sin.f64 x) 3)))
(fma.f64 (*.f64 x x) (fma.f64 (sin.f64 x) -3 x) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 x 3) (sin.f64 x))))
(pow.f64 x 3)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) (pow.f64 x 2)) (pow.f64 x 3))
(fma.f64 (*.f64 (sin.f64 x) -3) (*.f64 x x) (pow.f64 x 3))
(*.f64 (*.f64 x x) (+.f64 x (*.f64 (sin.f64 x) -3)))
(*.f64 x (*.f64 x (fma.f64 (sin.f64 x) -3 x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1 (pow.f64 (sin.f64 x) 2))) x)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) (pow.f64 x 2)) (pow.f64 x 3)))
(fma.f64 (*.f64 3 (pow.f64 (sin.f64 x) 2)) x (fma.f64 (*.f64 (sin.f64 x) -3) (*.f64 x x) (pow.f64 x 3)))
(fma.f64 x (*.f64 3 (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 x x) (+.f64 x (*.f64 (sin.f64 x) -3))))
(fma.f64 (*.f64 x 3) (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (fma.f64 (sin.f64 x) -3 x))))
(+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1 (pow.f64 (sin.f64 x) 2))) x)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -2 (sin.f64 x))) (pow.f64 x 2)) (pow.f64 x 3))))
(fma.f64 (*.f64 3 (pow.f64 (sin.f64 x) 2)) x (fma.f64 -1 (pow.f64 (sin.f64 x) 3) (fma.f64 (*.f64 (sin.f64 x) -3) (*.f64 x x) (pow.f64 x 3))))
(fma.f64 x (*.f64 3 (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (*.f64 x x) (+.f64 x (*.f64 (sin.f64 x) -3))) (pow.f64 (sin.f64 x) 3)))
(fma.f64 (*.f64 x x) (fma.f64 (sin.f64 x) -3 x) (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 x 3) (sin.f64 x))))

localize48.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.5b
(pow.f64 (cbrt.f64 (tan.f64 x)) 2)
0.2b
(pow.f64 (tan.f64 x) 2)
0.0b
(/.f64 1 (+.f64 x (tan.f64 x)))
0.0b
(+.f64 x (tan.f64 x))
✓1.9b
(-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2))
1.9b
(-.f64 x (sin.f64 x))
✓14.9b
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 x (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
✓59.6b
(fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))
Compiler

Compiled 120 to 41 computations (65.8% saved)

series20.0ms (0.1%)

Counts
3 → 32
Calls

9 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 x (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
4.0ms
x
@0
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 x (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
3.0ms
x
@inf
(fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))
3.0ms
x
@-inf
(fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))
2.0ms
x
@-inf
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 x (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))

rewrite81.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
553×log-prod_binary64
477×fma-def_binary64
315×pow2_binary64
271×fma-neg_binary64
214×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01575
132823
2447023
Stop Event
1×node limit
Counts
3 → 257
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 x (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x)))
(-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (tan.f64 x) (tan.f64 x)) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (tan.f64 x)) (+.f64 (tan.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 x (tan.f64 x)) (tan.f64 x)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (tan.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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(tan.f64 x) (tan.f64 x)) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2) (cbrt.f64 (+.f64 (pow.f64 x 4) (pow.f64 (tan.f64 x) 4))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (+.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (+.f64 x (tan.f64 x))) (*.f64 (+.f64 (tan.f64 x) (tan.f64 x)) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (+.f64 x (tan.f64 x))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (pow.f64 (tan.f64 x) 4))) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (pow.f64 (tan.f64 x) 4))) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2) (*.f64 (+.f64 (tan.f64 x) (tan.f64 x)) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (pow.f64 (tan.f64 x) 4))) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 x)) (*.f64 (sqrt.f64 (tan.f64 x)) (tan.f64 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (*.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (+.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (*.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (+.f64 x (tan.f64 x))) (*.f64 (+.f64 (tan.f64 x) (tan.f64 x)) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (*.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (+.f64 x (tan.f64 x))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 (tan.f64 x) 6)) (/.f64 1 (pow.f64 (hypot.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (*.f64 x (tan.f64 x))) 2)) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 (tan.f64 x) 6)) (/.f64 1 (pow.f64 (hypot.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (*.f64 x (tan.f64 x))) 2)) (*.f64 (+.f64 (tan.f64 x) (tan.f64 x)) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 (tan.f64 x) 6)) (/.f64 1 (pow.f64 (hypot.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (*.f64 x (tan.f64 x))) 2)) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (tan.f64 x)) x (*.f64 (+.f64 x (tan.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (tan.f64 x)) (tan.f64 x) (*.f64 (+.f64 x (tan.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x)) (*.f64 (+.f64 (tan.f64 x) (tan.f64 x)) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x)) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) 3) (sqrt.f64 (tan.f64 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) 3) (sqrt.f64 (+.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) 3) (sqrt.f64 (+.f64 x (tan.f64 x))) (*.f64 (+.f64 (tan.f64 x) (tan.f64 x)) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) 3) (sqrt.f64 (+.f64 x (tan.f64 x))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4)) (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x (tan.f64 x)) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (+.f64 x (tan.f64 x))) (+.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x (tan.f64 x)) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (+.f64 x (tan.f64 x))) (*.f64 (+.f64 (tan.f64 x) (tan.f64 x)) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x (tan.f64 x)) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (+.f64 x (tan.f64 x))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (tan.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) (cbrt.f64 (tan.f64 x))) (cbrt.f64 (tan.f64 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) 1) (cbrt.f64 (pow.f64 (tan.f64 x) 2)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (tan.f64 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2)))))))

simplify48.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
693×associate-/l/_binary64
500×associate-/r/_binary64
450×fma-def_binary64
363×times-frac_binary64
296×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
085595
1275457
2892299
34292299
Stop Event
1×node limit
Counts
289 → 283
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3))) (/.f64 (sin.f64 x) (cos.f64 x)))
x
x
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 2))) x)))))))
x
(+.f64 (*.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) x)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) x)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 2))) x))))))
(*.f64 -2/3 (pow.f64 x 4))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (*.f64 -17/45 (pow.f64 x 6)))
(+.f64 (*.f64 -62/315 (pow.f64 x 8)) (+.f64 (*.f64 -2/3 (pow.f64 x 4)) (*.f64 -17/45 (pow.f64 x 6))))
(+.f64 (*.f64 -62/315 (pow.f64 x 8)) (+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 (*.f64 -17/45 (pow.f64 x 6)) (*.f64 -1382/14175 (pow.f64 x 10)))))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))
Outputs
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(fma.f64 1/3 (pow.f64 x 3) x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 0 (/.f64 (sin.f64 x) (cos.f64 x)))
0
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 0 (/.f64 (sin.f64 x) (cos.f64 x)))
0
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 0 (/.f64 (sin.f64 x) (cos.f64 x)))
0
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 0 (/.f64 (sin.f64 x) (cos.f64 x)))
0
(+.f64 (*.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 0 (/.f64 (sin.f64 x) (cos.f64 x)))
0
(+.f64 (*.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 0 (/.f64 (sin.f64 x) (cos.f64 x)))
0
(+.f64 (*.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 0 (/.f64 (sin.f64 x) (cos.f64 x)))
0
(+.f64 (*.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3))) (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 0 (/.f64 (sin.f64 x) (cos.f64 x)))
0
x
x
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) x)))
(+.f64 (-.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 0 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) x)))
(+.f64 (-.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 0 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 2))) x)))))))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) x)))
(+.f64 (-.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 0 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
x
(+.f64 (*.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) x)))
(+.f64 (-.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 0 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) x)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) x)))
(+.f64 (-.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 0 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) x)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 2))) x))))))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)) x)))
(+.f64 (-.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 0 (/.f64 (sin.f64 x) (cos.f64 x))))
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 -2/3 (pow.f64 x 4))
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (*.f64 -17/45 (pow.f64 x 6)))
(fma.f64 -2/3 (pow.f64 x 4) (*.f64 -17/45 (pow.f64 x 6)))
(fma.f64 -17/45 (pow.f64 x 6) (*.f64 -2/3 (pow.f64 x 4)))
(+.f64 (*.f64 -62/315 (pow.f64 x 8)) (+.f64 (*.f64 -2/3 (pow.f64 x 4)) (*.f64 -17/45 (pow.f64 x 6))))
(fma.f64 -62/315 (pow.f64 x 8) (fma.f64 -2/3 (pow.f64 x 4) (*.f64 -17/45 (pow.f64 x 6))))
(fma.f64 -17/45 (pow.f64 x 6) (fma.f64 -2/3 (pow.f64 x 4) (*.f64 -62/315 (pow.f64 x 8))))
(+.f64 (*.f64 -62/315 (pow.f64 x 8)) (+.f64 (*.f64 -2/3 (pow.f64 x 4)) (+.f64 (*.f64 -17/45 (pow.f64 x 6)) (*.f64 -1382/14175 (pow.f64 x 10)))))
(fma.f64 -62/315 (pow.f64 x 8) (fma.f64 -2/3 (pow.f64 x 4) (fma.f64 -17/45 (pow.f64 x 6) (*.f64 -1382/14175 (pow.f64 x 10)))))
(fma.f64 -2/3 (pow.f64 x 4) (fma.f64 -62/315 (pow.f64 x 8) (fma.f64 -17/45 (pow.f64 x 6) (*.f64 -1382/14175 (pow.f64 x 10)))))
(fma.f64 -62/315 (pow.f64 x 8) (fma.f64 -17/45 (pow.f64 x 6) (fma.f64 -1382/14175 (pow.f64 x 10) (*.f64 -2/3 (pow.f64 x 4)))))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x))
(-.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x))
(-.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x))
(-.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x))
(-.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x))
(-.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (pow.f64 x 2))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x))
(-.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))

eval575.0ms (3.3%)

Compiler

Compiled 43261 to 14941 computations (65.5% saved)

prune206.0ms (1.2%)

Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New141181419
Fresh268
Picked011
Done145
Total1414191433
Error
0.0b
Counts
1433 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.0b
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
✓49.9b
(/.f64 (-.f64 x (sin.f64 x)) (fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 x (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
52.2b
(/.f64 (exp.f64 (log.f64 (-.f64 x (sin.f64 x)))) (-.f64 x (tan.f64 x)))
▶27.5b
(+.f64 -1/2 (*.f64 x (*.f64 x 9/40)))
▶35.5b
(pow.f64 (fma.f64 x (/.f64 1 (-.f64 x (sin.f64 x))) (neg.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) -1)
27.9b
-1/2
35.9b
1
35.5b
(/.f64 1 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))
47.7b
(pow.f64 (+.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) -1)
▶27.7b
(/.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))
▶27.8b
(/.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))))
✓59.3b
(/.f64 (pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) 1/3) (-.f64 x (tan.f64 x)))
51.3b
(+.f64 (fma.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)))) (neg.f64 (*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2))))) (fma.f64 (neg.f64 (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 x (tan.f64 x))))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)))))
✓36.3b
(/.f64 x (-.f64 x (tan.f64 x)))
✓27.5b
(fma.f64 x (*.f64 x 9/40) -1/2)
51.3b
(+.f64 (fma.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)))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (-.f64 x (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (-.f64 x (tan.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (-.f64 x (tan.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1))))
✓35.5b
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
36.4b
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x)
34.4b
(/.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) x))
Compiler

Compiled 737 to 397 computations (46.1% saved)

localize10.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (*.f64 x 9/40))
0.1b
(*.f64 x 9/40)
0.0b
(+.f64 -1/2 (*.f64 x (*.f64 x 9/40)))
✓0.0b
(+.f64 -1/2 (*.f64 x (*.f64 x 9/40)))
0.1b
(*.f64 x 9/40)
✓0.1b
(*.f64 x (*.f64 x 9/40))
Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite52.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
760×pow1_binary64
712×add-log-exp_binary64
712×log1p-expm1-u_binary64
712×expm1-log1p-u_binary64
701×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0717
115315
2187415
Stop Event
1×node limit
Counts
2 → 44
Calls
Call 1
Inputs
(*.f64 x (*.f64 x 9/40))
(+.f64 -1/2 (*.f64 x (*.f64 x 9/40)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 9/40))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 9/40)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 9/40))) 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 (pow.f64 (*.f64 x (*.f64 x 9/40)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 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 log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 9/40))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (*.f64 x x) 9/40 -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (-.f64 -1/2 (*.f64 x (*.f64 x 9/40)))) (/.f64 (pow.f64 (*.f64 x (*.f64 x 9/40)) 2) (-.f64 -1/2 (*.f64 x (*.f64 x 9/40)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) 9/40 -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 x x) 9/40 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 9/40 -1/2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 9/40 -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 9/40 -1/2)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) 9/40 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 9/40 -1/2)) (sqrt.f64 (fma.f64 (*.f64 x x) 9/40 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) (/.f64 1 (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 9/40)) (-.f64 (*.f64 x (*.f64 x 9/40)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 9/40)) 2)) (/.f64 1 (-.f64 -1/2 (*.f64 x (*.f64 x 9/40)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 9/40)) (-.f64 (*.f64 x (*.f64 x 9/40)) -1/2))) (+.f64 -1/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -1/2 (*.f64 x (*.f64 x 9/40))) (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 9/40)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 9/40)) (-.f64 (*.f64 x (*.f64 x 9/40)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000)) (+.f64 (pow.f64 (*.f64 x (*.f64 x 9/40)) 2) (-.f64 1/4 (*.f64 (*.f64 x (*.f64 x 9/40)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 9/40)) 2)) (-.f64 -1/2 (*.f64 x (*.f64 x 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1/8 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000))) (neg.f64 (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 9/40)) (-.f64 (*.f64 x (*.f64 x 9/40)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 9/40)) 2))) (neg.f64 (-.f64 -1/2 (*.f64 x (*.f64 x 9/40)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 9/40)) 2) 1/4) (-.f64 (*.f64 x (*.f64 x 9/40)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 x x) 9/40 -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 9/40 -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 9/40 -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 9/40 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 9/40 -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 x x) 9/40 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 9/40 -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) 9/40 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 x x) 9/40 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 9/40) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 9/40) x -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 9/40)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 9/40 -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 9/40))) 2) (cbrt.f64 (*.f64 x (*.f64 x 9/40))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 x (sqrt.f64 9/40)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) 9/40 -1/2)))))))

simplify147.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1104×sqr-pow_binary64
618×cube-prod_binary64
550×fabs-mul_binary64
536×pow-sqr_binary64
450×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09171
118171
230171
355171
4121171
5337171
61262171
72161171
82325171
92509171
102717171
113010171
123401171
133879171
144440171
155130171
165963171
176351171
186641171
196915171
206987171
217021171
227962171
Stop Event
1×node limit
Counts
68 → 49
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))
-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 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.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 (*.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)

localize28.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
17.7b
(/.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))
0.1b
(*.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 x (*.f64 x 9/40)))
0.1b
(*.f64 x (*.f64 x 9/40))
0.1b
(*.f64 x 9/40)
0.1b
(*.f64 x 9/40)
0.1b
(*.f64 x (*.f64 x 9/40))
✓0.1b
(*.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 x (*.f64 x 9/40)))
✓17.7b
(/.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))
Compiler

Compiled 65 to 45 computations (30.8% saved)

series6.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.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))
1.0ms
x
@0
(/.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))
1.0ms
x
@inf
(*.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 x (*.f64 x 9/40)))
0.0ms
x
@0
(*.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 x (*.f64 x 9/40)))
0.0ms
x
@-inf
(/.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))

rewrite114.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
636×log-prod_binary64
351×fma-def_binary64
320×pow2_binary64
320×prod-diff_binary64
266×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01133
126218
2354718
Stop Event
1×node limit
Counts
2 → 223
Calls
Call 1
Inputs
(/.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))
(*.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 x (*.f64 x 9/40)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 9/40)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (*.f64 x (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x 9/40) -1/2) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2)))) (sqrt.f64 (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2))) (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600) (fma.f64 9/40 (*.f64 x x) 1/2)) (neg.f64 (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (*.f64 x 9/40) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600) (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2)) 1/4))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2))) 1/4 (*.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600) (fma.f64 9/40 (*.f64 x x) 1/2)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2)) 1/4))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2))) 1/4 (*.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600) (fma.f64 9/40 (*.f64 x x) 1/2))) 2) (cbrt.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600) (fma.f64 9/40 (*.f64 x x) 1/2))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2)) 1/4))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2))) 1/4 (*.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600) (fma.f64 9/40 (*.f64 x x) 1/2))) (sqrt.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600) (fma.f64 9/40 (*.f64 x x) 1/2))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2)) 1/4))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2))) 1/4 (*.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) 1/2)) 2)) (/.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) 1/2))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2)) 1/4))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2))) 1/4 (*.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) 1/2))) (/.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) 1/2))) (neg.f64 (*.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2)) 1/4))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2))) 1/4 (*.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) 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simplify161.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1369×sqr-pow_binary64
697×pow-sqr_binary64
577×cube-prod_binary64
402×fabs-mul_binary64
388×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013171
125171
246171
3100171
4284171
51115171
61878171
72002171
82171171
92370171
102643171
113002171
123453171
133975171
144601171
155350171
165660171
175884171
186084171
196138171
206160171
216994171
227907171
Stop Event
1×node limit
Counts
247 → 229
Calls
Call 1
Inputs
-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)
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
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 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 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 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)
(fma.f64 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)
(fma.f64 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)
(fma.f64 x (*.f64 9/40 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)
(fma.f64 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)
(fma.f64 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)
(fma.f64 x (*.f64 9/40 x) -1/2)
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))

localize47.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x 9/40)
0.1b
(pow.f64 (*.f64 x (*.f64 x 9/40)) 3)
0.0b
(+.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)))
0.0b
(*.f64 (*.f64 x (*.f64 x 9/40)) -1/2)
0.1b
(*.f64 x 9/40)
0.1b
(*.f64 x (*.f64 x 9/40))
0.1b
(*.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 x (*.f64 x 9/40)))
✓19.8b
(/.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))))
Compiler

Compiled 110 to 80 computations (27.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.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))))
1.0ms
x
@inf
(/.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))))
0.0ms
x
@-inf
(/.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))))

rewrite72.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
897×log-prod_binary64
653×fma-def_binary64
390×fma-neg_binary64
304×expm1-udef_binary64
304×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01640
138037
2507533
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(/.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))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80)))))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (/.f64 1 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) 2)) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))))) 2) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8)) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))))) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8)) (/.f64 1 (neg.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80)))) (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8)) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8)) 1) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8)) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))) 2))) (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (cbrt.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) 2)) (cbrt.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))) 2))) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8)) (cbrt.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))) 2))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8)) (cbrt.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 (*.f64 x (*.f64 x 9/40)) (sqrt.f64 (fma.f64 (neg.f64 x) (*.f64 x -9/80) 1/4)))) (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (hypot.f64 (*.f64 x (*.f64 x 9/40)) (sqrt.f64 (fma.f64 (neg.f64 x) (*.f64 x -9/80) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) 2)) (hypot.f64 (*.f64 x (*.f64 x 9/40)) (sqrt.f64 (fma.f64 (neg.f64 x) (*.f64 x -9/80) 1/4)))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8)) (hypot.f64 (*.f64 x (*.f64 x 9/40)) (sqrt.f64 (fma.f64 (neg.f64 x) (*.f64 x -9/80) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (+.f64 (pow.f64 (*.f64 x (*.f64 x 9/40)) 6) (pow.f64 (fma.f64 (neg.f64 x) (*.f64 x -9/80) 1/4) 3))) (fma.f64 (fma.f64 (neg.f64 x) (*.f64 x -9/80) 1/4) (-.f64 (fma.f64 (neg.f64 x) (*.f64 x -9/80) 1/4) (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600)) (pow.f64 (*.f64 x (*.f64 x 9/40)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (pow.f64 (*.f64 x (*.f64 x 9/40)) 4) (pow.f64 (fma.f64 (neg.f64 x) (*.f64 x -9/80) 1/4) 2))) (+.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 -1/4) (*.f64 x (*.f64 x -9/80))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))) (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (neg.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) 3) (pow.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 -1/8) (-.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 1/4) (*.f64 x (*.f64 x -9/80))))))))))

simplify139.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1107×sqr-pow_binary64
618×cube-prod_binary64
555×fabs-mul_binary64
536×pow-sqr_binary64
441×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0987
11887
23087
35487
411787
534687
6121187
7210887
8227287
9245687
10266487
11295887
12335187
13382987
14439087
15508087
16591387
17630987
18660187
19687387
20694387
21697787
22791887
Stop Event
1×node limit
Counts
50 → 43
Calls
Call 1
Inputs
-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
-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)

localize23.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
16.0b
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
0.1b
(*.f64 -27/2800 (pow.f64 x 4))
0.1b
(*.f64 9/40 (pow.f64 x 2))
✓0.1b
(*.f64 9/40 (pow.f64 x 2))
✓0.1b
(*.f64 -27/2800 (pow.f64 x 4))
✓16.0b
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
Compiler

Compiled 47 to 38 computations (19.1% saved)

series3.0ms (0%)

Counts
3 → 6
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 -27/2800 (pow.f64 x 4))
0.0ms
x
@inf
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
0.0ms
x
@0
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
0.0ms
x
@-inf
(+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4)))
0.0ms
x
@0
(*.f64 -27/2800 (pow.f64 x 4))

rewrite60.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
123928
2272728
Stop Event
1×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 -27/2800 (pow.f64 x 4))
(*.f64 9/40 (pow.f64 x 2))
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 (pow.f64 x 8) 729/7840000) (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 (pow.f64 x 12) -19683/21952000000 (*.f64 (pow.f64 x 6) 729/64000)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) 729/7840000)) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) (pow.f64 x 4)) -27/2800))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) 729/7840000)) (/.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 (pow.f64 x 8) 729/7840000)) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) (pow.f64 x 4)) -27/2800)) (fma.f64 (pow.f64 x 12) -19683/21952000000 (*.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 (pow.f64 x 8) 729/7840000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 12) -19683/21952000000 (*.f64 (pow.f64 x 6) 729/64000)) (-.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) 729/7840000)) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) (pow.f64 x 4)) -27/2800)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 12) -19683/21952000000 (*.f64 (pow.f64 x 6) 729/64000)) (fma.f64 (pow.f64 x 8) 729/7840000 (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) (pow.f64 x 4)) -27/2800))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) 729/7840000)) (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 (pow.f64 x 12) -19683/21952000000 (*.f64 (pow.f64 x 6) 729/64000))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 4) 81/1600 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4)))) (pow.f64 (exp.f64 x) (*.f64 x 9/40))))))) (#(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 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 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(pow.f64 (cbrt.f64 x) 2) (*.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 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 +.f64 0 (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 8) 729/7840000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 12) -19683/21952000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4)))) 2)) (cbrt.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))))) (sqrt.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 729/7840000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 12) -19683/21952000000))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (sqrt.f64 -27/2800))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 12) -19683/21952000000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4))))))))
((#(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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 9/40))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 9/40)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 9/40)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 9/40)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 (pow.f64 x 4) 81/1600) 1/2)))) (#(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 x 6) 729/64000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 9/40 (*.f64 x x)))) 2)) (cbrt.f64 (log.f64 (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 9/40 (*.f64 x x))))) (sqrt.f64 (log.f64 (*.f64 9/40 (*.f64 x x)))))))) (#(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 (exp.f64 x) (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) 729/64000))))) (#(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 exp.f64 (*.f64 (log.f64 (*.f64 9/40 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 9/40))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 6) 729/64000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 9/40 (*.f64 x x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 9/40 (*.f64 x x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x))))))))

simplify140.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1076×sqr-pow_binary64
538×fma-def_binary64
520×pow-sqr_binary64
444×cube-prod_binary64
414×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01163
12263
24563
311163
435863
5134063
6257563
7303763
8320663
9340563
10367863
11403763
12448663
13500863
14563663
15638763
16669563
17691763
18711763
19717363
20719563
Stop Event
1×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 x (*.f64 x -27/2800) 9/40)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40))
(+.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 x (*.f64 x -27/2800) 9/40)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40))
(+.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 x (*.f64 x -27/2800) 9/40)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))

localize24.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
1.9b
(-.f64 x (sin.f64 x))
0.1b
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
0.0b
(/.f64 1 (-.f64 x (sin.f64 x)))
0.0b
(pow.f64 (fma.f64 x (/.f64 1 (-.f64 x (sin.f64 x))) (neg.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) -1)
✓0.0b
(/.f64 1 (-.f64 x (sin.f64 x)))
✓0.1b
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
1.9b
(-.f64 x (sin.f64 x))
✓1.9b
(fma.f64 x (/.f64 1 (-.f64 x (sin.f64 x))) (neg.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))
Compiler

Compiled 67 to 18 computations (73.1% saved)

series6.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite177.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
754×prod-diff_binary64
490×log-prod_binary64
265×egg-rr
262×pow2_binary64
239×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01045
121742
2303342
Stop Event
1×node limit
Counts
3 → 358
Calls
Call 1
Inputs
(fma.f64 x (/.f64 1 (-.f64 x (sin.f64 x))) (neg.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
(/.f64 1 (-.f64 x (sin.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (/.f64 x (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (/.f64 x (-.f64 x (sin.f64 x)))) (fma.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (/.f64 x (-.f64 x (sin.f64 x)))) (fma.f64 (neg.f64 (tan.f64 x)) (/.f64 1 (-.f64 x (sin.f64 x))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (/.f64 x (-.f64 x (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 x (sin.f64 x)))) (tan.f64 x) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (/.f64 x (-.f64 x (sin.f64 x)))) (fma.f64 -1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (/.f64 x (-.f64 x (sin.f64 x)))) (fma.f64 1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (/.f64 x (-.f64 x (sin.f64 x)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2)) (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (/.f64 x (-.f64 x (sin.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (/.f64 x (-.f64 x (sin.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (/.f64 x (-.f64 x (sin.f64 x)))) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (/.f64 x (-.f64 x (sin.f64 x)))) (fma.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) -1 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (/.f64 x (-.f64 x (sin.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) 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simplify64.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
455×times-frac_binary64
440×fma-def_binary64
354×distribute-neg-frac_binary64
343×div-sub_binary64
321×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01131005
1321995
21038905
34830815
Stop Event
1×node limit
Counts
394 → 405
Calls
Call 1
Inputs
-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 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2))))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 3)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (cos.f64 x)))) (pow.f64 x 3)))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(/.f64 6 (pow.f64 x 2))
(+.f64 23/10 (*.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 23/10 (+.f64 (*.f64 1271/1400 (pow.f64 x 2)) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 23/10 (+.f64 (*.f64 46187/126000 (pow.f64 x 4)) (+.f64 (*.f64 1271/1400 (pow.f64 x 2)) (*.f64 6 (/.f64 1 (pow.f64 x 2))))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(/.f64 6 (pow.f64 x 3))
(+.f64 (*.f64 3/10 (/.f64 1 x)) (*.f64 6 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 3/10 (/.f64 1 x)) (+.f64 (*.f64 11/1400 x) (*.f64 6 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 3/10 (/.f64 1 x)) (+.f64 (*.f64 11/1400 x) (+.f64 (*.f64 17/126000 (pow.f64 x 3)) (*.f64 6 (/.f64 1 (pow.f64 x 3))))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (pow.f64 x 2)))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (pow.f64 x 2)))))
Outputs
-2
(-.f64 (*.f64 -9/10 (pow.f64 x 2)) 2)
(fma.f64 -9/10 (*.f64 x x) -2)
(-.f64 (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2))) 2)
(+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (fma.f64 -9/10 (*.f64 x x) -2))
(fma.f64 -513/1400 (pow.f64 x 4) (fma.f64 -9/10 (*.f64 x x) -2))
(fma.f64 -9/10 (*.f64 x x) (fma.f64 -513/1400 (pow.f64 x 4) -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 -9/10 (*.f64 x x)))) -2)
(fma.f64 -297/2000 (pow.f64 x 6) (fma.f64 -513/1400 (pow.f64 x 4) (fma.f64 -9/10 (*.f64 x x) -2)))
(fma.f64 -297/2000 (pow.f64 x 6) (fma.f64 -9/10 (*.f64 x x) (fma.f64 -513/1400 (pow.f64 x 4) -2)))
1
(-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (sin.f64 x) x) (-.f64 1 (/.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 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (-.f64 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (cos.f64 x))))) (-.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 -1 (cos.f64 x)) 1) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (-.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
(+.f64 1 (-.f64 (*.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2))))))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (+.f64 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 (+.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (cos.f64 x))))) (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(-.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (+.f64 (/.f64 -1 (cos.f64 x)) 1) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) (*.f64 (+.f64 (/.f64 -1 (cos.f64 x)) 1) (pow.f64 (/.f64 (sin.f64 x) x) 3))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (*.f64 (+.f64 (/.f64 -1 (cos.f64 x)) 1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (/.f64 (sin.f64 x) x) 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) x)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (sin.f64 x) x) (-.f64 1 (/.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 (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (-.f64 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (cos.f64 x))))) (-.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 -1 (cos.f64 x)) 1) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (-.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
(+.f64 1 (-.f64 (*.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 3)) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (cos.f64 x)))) (pow.f64 x 3)))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (+.f64 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 (+.f64 (-.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (cos.f64 x))))) (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(-.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (+.f64 (/.f64 -1 (cos.f64 x)) 1) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) (*.f64 (+.f64 (/.f64 -1 (cos.f64 x)) 1) (pow.f64 (/.f64 (sin.f64 x) x) 3))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (*.f64 (+.f64 (/.f64 -1 (cos.f64 x)) 1) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (/.f64 (sin.f64 x) x) 3)))))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(+.f64 23/10 (*.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 23/10 (/.f64 6 (*.f64 x x)))
(+.f64 23/10 (+.f64 (*.f64 1271/1400 (pow.f64 x 2)) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 23/10 (fma.f64 1271/1400 (*.f64 x x) (/.f64 6 (*.f64 x x))))
(+.f64 23/10 (fma.f64 (*.f64 x x) 1271/1400 (/.f64 6 (*.f64 x x))))
(+.f64 23/10 (fma.f64 x (*.f64 x 1271/1400) (/.f64 6 (*.f64 x x))))
(+.f64 (/.f64 6 (*.f64 x x)) (fma.f64 x (*.f64 x 1271/1400) 23/10))
(+.f64 23/10 (+.f64 (*.f64 46187/126000 (pow.f64 x 4)) (+.f64 (*.f64 1271/1400 (pow.f64 x 2)) (*.f64 6 (/.f64 1 (pow.f64 x 2))))))
(+.f64 23/10 (fma.f64 46187/126000 (pow.f64 x 4) (fma.f64 1271/1400 (*.f64 x x) (/.f64 6 (*.f64 x x)))))
(+.f64 23/10 (fma.f64 (pow.f64 x 4) 46187/126000 (fma.f64 (*.f64 x x) 1271/1400 (/.f64 6 (*.f64 x x)))))
(+.f64 (fma.f64 x (*.f64 x 1271/1400) (/.f64 6 (*.f64 x x))) (fma.f64 (pow.f64 x 4) 46187/126000 23/10))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))
(/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (cos.f64 x)))))
(*.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (cos.f64 x)))) (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3)))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 x 4) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (cos.f64 x)))) (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 x 4) (cos.f64 x))))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 x 4) (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 x x))))))
(+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 4) (cos.f64 x)) (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))
(/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (cos.f64 x)))))
(*.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (cos.f64 x)))) (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3)))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 x 4) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (cos.f64 x)))) (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 x 4) (cos.f64 x))))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 x 4) (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 x x))))))
(+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 4) (cos.f64 x)) (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (cos.f64 x)) (*.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
(/.f64 6 (pow.f64 x 3))
(+.f64 (*.f64 3/10 (/.f64 1 x)) (*.f64 6 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 3/10 x) (/.f64 6 (pow.f64 x 3)))
(+.f64 (*.f64 3/10 (/.f64 1 x)) (+.f64 (*.f64 11/1400 x) (*.f64 6 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 3/10 x) (fma.f64 11/1400 x (/.f64 6 (pow.f64 x 3))))
(+.f64 (/.f64 3/10 x) (fma.f64 x 11/1400 (/.f64 6 (pow.f64 x 3))))
(+.f64 (*.f64 3/10 (/.f64 1 x)) (+.f64 (*.f64 11/1400 x) (+.f64 (*.f64 17/126000 (pow.f64 x 3)) (*.f64 6 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 3/10 x) (fma.f64 11/1400 x (fma.f64 17/126000 (pow.f64 x 3) (/.f64 6 (pow.f64 x 3)))))
(+.f64 (/.f64 3/10 x) (fma.f64 x 11/1400 (fma.f64 (pow.f64 x 3) 17/126000 (/.f64 6 (pow.f64 x 3)))))
(+.f64 (fma.f64 (pow.f64 x 3) 17/126000 (/.f64 6 (pow.f64 x 3))) (fma.f64 x 11/1400 (/.f64 3/10 x)))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (*.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 4)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (*.f64 x x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (sin.f64 x) x) -1)))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (*.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 4)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (*.f64 x x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (+.f64 1 (*.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (sin.f64 x) x) -1)))))

eval750.0ms (4.3%)

Compiler

Compiled 46777 to 23860 computations (49% saved)

prune167.0ms (1%)

Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New125751262
Fresh279
Picked011
Done459
Total1263181281
Error
0.0b
Counts
1281 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
▶27.5b
(+.f64 -1/2 (*.f64 x (-.f64 (+.f64 1 (*.f64 x 9/40)) 1)))
▶52.2b
(/.f64 (exp.f64 (log.f64 (-.f64 x (sin.f64 x)))) (-.f64 x (tan.f64 x)))
✓27.5b
(+.f64 -1/2 (*.f64 x (*.f64 x 9/40)))
✓35.5b
(pow.f64 (fma.f64 x (/.f64 1 (-.f64 x (sin.f64 x))) (neg.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) -1)
35.9b
1
35.5b
(/.f64 1 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))
▶47.7b
(pow.f64 (+.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) -1)
▶27.5b
(+.f64 -1/2 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 9/40))) 1))
▶28.0b
(-.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40)) 1/2)
27.9b
-1/2
51.3b
(+.f64 (fma.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)))) (neg.f64 (*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2))))) (fma.f64 (neg.f64 (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 x (tan.f64 x))))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)))))
✓36.3b
(/.f64 x (-.f64 x (tan.f64 x)))
✓49.9b
(/.f64 (-.f64 x (sin.f64 x)) (fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 x (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
35.5b
(pow.f64 (+.f64 (fma.f64 1 (/.f64 x (-.f64 x (sin.f64 x))) (neg.f64 (*.f64 (/.f64 1 (cbrt.f64 (-.f64 x (sin.f64 x)))) (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) -2)))))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 x (sin.f64 x))))) (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) -2))) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 x (sin.f64 x)))) (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) -2)))))) -1)
✓35.5b
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
✓59.3b
(/.f64 (pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) 1/3) (-.f64 x (tan.f64 x)))
36.4b
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x)
34.4b
(/.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) x))
Compiler

Compiled 635 to 335 computations (47.2% saved)

localize16.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
3.4b
(-.f64 (+.f64 1 (*.f64 x 9/40)) 1)
0.1b
(*.f64 x 9/40)
0.1b
(*.f64 x (-.f64 (+.f64 1 (*.f64 x 9/40)) 1))
0.0b
(+.f64 -1/2 (*.f64 x (-.f64 (+.f64 1 (*.f64 x 9/40)) 1)))
✓0.0b
(+.f64 -1/2 (*.f64 x (-.f64 (+.f64 1 (*.f64 x 9/40)) 1)))
✓0.1b
(*.f64 x (-.f64 (+.f64 1 (*.f64 x 9/40)) 1))
0.1b
(*.f64 x 9/40)
✓3.4b
(-.f64 (+.f64 1 (*.f64 x 9/40)) 1)
Compiler

Compiled 40 to 32 computations (20% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite62.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
516×prod-diff_binary64
489×fma-def_binary64
429×log-prod_binary64
272×pow-prod-down_binary64
257×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01039
122719
2299819
Stop Event
1×node limit
Counts
3 → 169
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 x 9/40)) 1)
(*.f64 x (-.f64 (+.f64 1 (*.f64 x 9/40)) 1))
(+.f64 -1/2 (*.f64 x (-.f64 (+.f64 1 (*.f64 x 9/40)) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 x 9/40 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 x 9/40 -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 9/40) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 9/40 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 x 9/40 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 9/40 -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 9/40)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 9/40))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 9/40)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9/40 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 9/40) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 9/40)) (cbrt.f64 (*.f64 (*.f64 x x) 81/1600)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 81/1600)) (cbrt.f64 (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 9/40)) (sqrt.f64 (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x 9/40 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 9/40 1) 2) (fma.f64 x 9/40 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x 9/40 1) 2) -1) (/.f64 1 (fma.f64 x 9/40 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x 9/40 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 9/40 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 9/40 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 9/40 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 9/40 1) 2) (fma.f64 x 9/40 2)) (+.f64 (pow.f64 (fma.f64 x 9/40 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 9/40 2) (+.f64 (pow.f64 (fma.f64 x 9/40 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 9/40 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 9/40 1) 2) (fma.f64 x 9/40 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 9/40 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 9/40 1) 2) (-.f64 1 (*.f64 (fma.f64 x 9/40 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 9/40 1) 2) -1) (fma.f64 x 9/40 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 9/40 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 9/40 1) 2) (fma.f64 x 9/40 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 9/40 1) 2) -1)) (neg.f64 (fma.f64 x 9/40 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 x 9/40 -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 x 9/40 -1) 2) (fma.f64 x 9/40 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 x 9/40 -1) 2)) (-.f64 1 (fma.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 (*.f64 (*.f64 x x) 81/1600) 1/2)))) (#(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 pow.f64 (*.f64 (pow.f64 x 3) 729/64000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x 9/40 1) 2) (fma.f64 x 9/40 2)) (+.f64 (pow.f64 (fma.f64 x 9/40 1) 3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 9/40 2) (+.f64 (pow.f64 (fma.f64 x 9/40 1) 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 81/1600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 729/64000))))) (#(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 exp.f64 (*.f64 (log.f64 (*.f64 x 9/40)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 9/40))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 9/40))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 81/1600)) (*.f64 (cbrt.f64 (*.f64 x 9/40)) x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 9/40)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 x 9/40))) (sqrt.f64 (*.f64 x (*.f64 x 9/40))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 9/40)) (*.f64 (sqrt.f64 (*.f64 x 9/40)) x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 9/40)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 (*.f64 x x) 81/1600))) (cbrt.f64 (*.f64 x 9/40)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x 9/40))) (sqrt.f64 (*.f64 x 9/40)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 9/40) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 9/40) (sqrt.f64 x)) (sqrt.f64 x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))))

simplify152.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1104×sqr-pow_binary64
618×cube-prod_binary64
555×fabs-mul_binary64
536×pow-sqr_binary64
448×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010219
120219
230219
351219
4116219
5326219
61249219
72148219
82312219
92496219
102704219
112998219
123389219
133869219
144432219
155116219
165953219
176343219
186631219
196907219
206983219
217019219
227960219
Stop Event
1×node limit
Counts
205 → 174
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)
(*.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))
-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)
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.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 (*.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)

localize16.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
1.9b
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 9/40))) 1)
0.1b
(*.f64 x (*.f64 x 9/40))
0.1b
(*.f64 x 9/40)
0.0b
(+.f64 -1/2 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 9/40))) 1))
✓0.0b
(+.f64 -1/2 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 9/40))) 1))
0.1b
(*.f64 x 9/40)
0.1b
(*.f64 x (*.f64 x 9/40))
✓1.9b
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 9/40))) 1)
Compiler

Compiled 40 to 30 computations (25% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite59.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
689×prod-diff_binary64
595×fma-def_binary64
433×log-prod_binary64
264×fma-neg_binary64
259×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01029
123017
2307315
Stop Event
1×node limit
Counts
2 → 157
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 9/40))) 1)
(+.f64 -1/2 (-.f64 (+.f64 1 (*.f64 x (*.f64 x 9/40))) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 x (*.f64 x 9/40) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 x (*.f64 x 9/40) -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 x (*.f64 x 9/40) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 x (*.f64 x 9/40) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x 9/40) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9/40)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9/40))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9/40 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 9/40) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 9/40 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 9/40)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 81/1600)) (*.f64 (cbrt.f64 (*.f64 x 9/40)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 4)) (cbrt.f64 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 9/40)) (*.f64 (sqrt.f64 (*.f64 x 9/40)) x))))) (#(struct:change #<rule egg-rr> (2) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 x (sqrt.f64 9/40)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 9/40)) 0)))) (#(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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 9/40))) (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 9/40))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) 1) 2) (fma.f64 x (*.f64 x 9/40) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 6) 729/64000 1) (/.f64 1 (fma.f64 (*.f64 9/40 (*.f64 x x)) (fma.f64 x (*.f64 x 9/40) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) 1) 2) -1) (/.f64 1 (fma.f64 x (*.f64 x 9/40) 2)) 0)))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x 9/40) 1) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (*.f64 9/40 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 9/40) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (-.f64 -1/2 (*.f64 9/40 (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 4) (-.f64 -1/2 (*.f64 9/40 (*.f64 x x)))))))) (#(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 (fma.f64 x (*.f64 x 9/40) -1/2) 1)))) (#(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 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(*.f64 9/40 (*.f64 x x)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 4)) (-.f64 -1/2 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 6) 729/64000 -1/8)) (neg.f64 (fma.f64 (*.f64 9/40 (*.f64 x x)) (fma.f64 x (*.f64 x 9/40) 1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 4))) (neg.f64 (-.f64 -1/2 (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1/2 (*.f64 9/40 (*.f64 x x))) 3) 1) (+.f64 (pow.f64 (+.f64 1/2 (*.f64 9/40 (*.f64 x x))) 2) (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 9/40 (*.f64 x x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1/2 (*.f64 9/40 (*.f64 x x))) 2) 1) (+.f64 (+.f64 1/2 (*.f64 9/40 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 -1/4) (fma.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) 2) 1/2)))) (#(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 pow.f64 (/.f64 (fma.f64 (*.f64 9/40 (*.f64 x x)) (fma.f64 x (*.f64 x 9/40) 1/2) 1/4) (fma.f64 (pow.f64 x 6) 729/64000 -1/8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1/2 (*.f64 9/40 (*.f64 x x))) (-.f64 1/4 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 4))) -1)))) (#(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 log.f64 (+.f64 1 (expm1.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 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)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 9/40 (*.f64 x x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (*.f64 x 9/40) 1) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1/2 (*.f64 9/40 (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 9/40) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9/40 (*.f64 x x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 9/40) x -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9/40 (*.f64 x x)) 1 -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (*.f64 x 9/40) 1) 1 -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 9/40 -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 81/1600)) (*.f64 (cbrt.f64 (*.f64 x 9/40)) x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 4)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 4)) (cbrt.f64 (*.f64 9/40 (*.f64 x x))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 9/40)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) 1)) 2) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) 1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 9/40) 1)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) 1)) 1) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 9/40)) (*.f64 (sqrt.f64 (*.f64 x 9/40)) x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 x (sqrt.f64 9/40)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 9/40)) -1/2)))) (#(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))) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 9/40))) (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 9/40))) 1) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) 1) 2) (fma.f64 x (*.f64 x 9/40) 2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 6) 729/64000 1) (/.f64 1 (fma.f64 (*.f64 9/40 (*.f64 x x)) (fma.f64 x (*.f64 x 9/40) -1) 1)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) 1) 2) -1) (/.f64 1 (fma.f64 x (*.f64 x 9/40) 2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 x (sqrt.f64 9/40)) 4)) (/.f64 1 (-.f64 1 (*.f64 9/40 (*.f64 x x)))) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 9/40 (*.f64 x x)))) 2) (cbrt.f64 (+.f64 1/2 (*.f64 9/40 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1/2 (*.f64 9/40 (*.f64 x x)))) (sqrt.f64 (+.f64 1/2 (*.f64 9/40 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 9/40))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 9/40))) 1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 (*.f64 x x) 81/1600))) (cbrt.f64 (*.f64 x 9/40)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x 9/40))) (sqrt.f64 (*.f64 x 9/40)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 9/40) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 9/40) (sqrt.f64 x)) (sqrt.f64 x) -1/2)))) (#(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 expm1.f64 (log.f64 (+.f64 1/2 (*.f64 9/40 (*.f64 x x)))))))))

simplify146.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1104×sqr-pow_binary64
618×cube-prod_binary64
550×fabs-mul_binary64
536×pow-sqr_binary64
450×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09171
118171
230171
355171
4121171
5337171
61262171
72161171
82325171
92509171
102717171
113010171
123401171
133879171
144440171
155130171
165963171
176351171
186641171
196915171
206987171
217021171
227962171
Stop Event
1×node limit
Counts
181 → 160
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))
-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 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(*.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 (*.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)

localize16.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.3b
(*.f64 x -27/2800)
0.1b
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40))
0.1b
(fma.f64 x (*.f64 x -27/2800) 9/40)
✓0.1b
(fma.f64 x (*.f64 x -27/2800) 9/40)
✓0.1b
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40))
✓0.3b
(*.f64 x -27/2800)
Compiler

Compiled 39 to 23 computations (41% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40))
1.0ms
x
@inf
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40))
1.0ms
x
@0
(*.f64 x -27/2800)
1.0ms
x
@-inf
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40))
0.0ms
x
@-inf
(*.f64 x -27/2800)

rewrite49.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
735×pow1_binary64
685×add-log-exp_binary64
685×log1p-expm1-u_binary64
685×expm1-log1p-u_binary64
670×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
116426
2188026
Stop Event
1×node limit
Counts
3 → 47
Calls
Call 1
Inputs
(*.f64 x -27/2800)
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40))
(fma.f64 x (*.f64 x -27/2800) 9/40)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -27/2800)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -27/2800) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -27/2800) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -27/2800)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -27/2800)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 729/7840000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -27/2800))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -27/2800) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -27/2800)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -27/2800)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -27/2800)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -27/2800)) (*.f64 x x)) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -27/2800))) (*.f64 (*.f64 x x) 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -27/2800) 9/40))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x (*.f64 x -27/2800) 9/40) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -27/2800) 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (fma.f64 x (*.f64 x -27/2800) 9/40) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -27/2800) 9/40) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -27/2800) 9/40))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 9/40 (*.f64 x (*.f64 x -27/2800)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -27/2800)) 9/40)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -27/2800)) 1) 9/40)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (*.f64 x -27/2800) 9/40)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -27/2800) 9/40) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x -27/2800) 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x -27/2800) 9/40)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -27/2800) 9/40)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -27/2800) 9/40)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -27/2800) 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x -27/2800) 9/40)) (sqrt.f64 (fma.f64 x (*.f64 x -27/2800) 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -27/2800)) 3) 729/64000) (+.f64 (*.f64 (*.f64 x (*.f64 x -27/2800)) (*.f64 x (*.f64 x -27/2800))) (-.f64 81/1600 (*.f64 (*.f64 x (*.f64 x -27/2800)) 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -27/2800)) (*.f64 x (*.f64 x -27/2800))) 81/1600) (-.f64 (*.f64 x (*.f64 x -27/2800)) 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x -27/2800) 9/40) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -27/2800) 9/40) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -27/2800) 9/40)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -27/2800) 9/40)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -27/2800) 9/40) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x -27/2800) 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -27/2800) 9/40) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -27/2800) 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x -27/2800) 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -27/2800) 9/40)))))))

simplify168.0ms (1%)

Algorithm
1×egg-herbie
Rules
806×sqr-pow_binary64
802×fma-def_binary64
525×pow-sqr_binary64
469×associate-*l*_binary64
446×cube-prod_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015300
129282
253282
3119282
4394282
51504282
62903282
73551282
83741282
93952282
104231282
114596282
125091282
135613282
146241282
156992282
167302282
177528282
187724282
197780282
207802282
Stop Event
1×node limit
Counts
83 → 59
Calls
Call 1
Inputs
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.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)))
9/40
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(*.f64 -27/2800 (pow.f64 x 2))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(*.f64 -27/2800 (pow.f64 x 2))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
Outputs
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 -27/2800 x)
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 x 9/40))
(+.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 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 -27/2800 x) 9/40)))
(+.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 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 -27/2800 x) 9/40)))
(+.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 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 -27/2800 x) 9/40)))
(*.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 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 -27/2800 x) 9/40)))
(+.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 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 -27/2800 x) 9/40)))
(+.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 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 -27/2800 x) 9/40)))
(*.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 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 -27/2800 x) 9/40)))
(+.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 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 -27/2800 x) 9/40)))
(+.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 -27/2800 (pow.f64 x 4) (*.f64 x (*.f64 x 9/40)))
(*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 -27/2800 x) 9/40)))
9/40
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (*.f64 x x)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 x (*.f64 -27/2800 x) 9/40)
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (*.f64 x x)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 x (*.f64 -27/2800 x) 9/40)
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (*.f64 x x)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 x (*.f64 -27/2800 x) 9/40)
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (*.f64 x x))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (*.f64 x x)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 x (*.f64 -27/2800 x) 9/40)
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (*.f64 x x)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 x (*.f64 -27/2800 x) 9/40)
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (*.f64 x x)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 x (*.f64 -27/2800 x) 9/40)
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (*.f64 x x))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (*.f64 x x)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 x (*.f64 -27/2800 x) 9/40)
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (*.f64 x x)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 x (*.f64 -27/2800 x) 9/40)
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (*.f64 x x)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 x (*.f64 -27/2800 x) 9/40)

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
1.9b
(-.f64 x (sin.f64 x))
1.9b
(-.f64 x (tan.f64 x))
1.2b
(exp.f64 (log.f64 (-.f64 x (sin.f64 x))))
0.0b
(/.f64 (exp.f64 (log.f64 (-.f64 x (sin.f64 x)))) (-.f64 x (tan.f64 x)))
✓0.0b
(/.f64 (exp.f64 (log.f64 (-.f64 x (sin.f64 x)))) (-.f64 x (tan.f64 x)))
✓1.2b
(exp.f64 (log.f64 (-.f64 x (sin.f64 x))))
1.9b
(-.f64 x (tan.f64 x))
1.9b
(-.f64 x (sin.f64 x))
Compiler

Compiled 36 to 8 computations (77.8% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (exp.f64 (log.f64 (-.f64 x (sin.f64 x)))) (-.f64 x (tan.f64 x)))
0.0ms
x
@0
(exp.f64 (log.f64 (-.f64 x (sin.f64 x))))
0.0ms
x
@inf
(/.f64 (exp.f64 (log.f64 (-.f64 x (sin.f64 x)))) (-.f64 x (tan.f64 x)))
0.0ms
x
@-inf
(/.f64 (exp.f64 (log.f64 (-.f64 x (sin.f64 x)))) (-.f64 x (tan.f64 x)))
0.0ms
x
@inf
(exp.f64 (log.f64 (-.f64 x (sin.f64 x))))

rewrite65.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
778×prod-diff_binary64
490×log-prod_binary64
329×fma-def_binary64
266×pow2_binary64
183×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
119120
2282920
Stop Event
1×node limit
Counts
2 → 159
Calls
Call 1
Inputs
(exp.f64 (log.f64 (-.f64 x (sin.f64 x))))
(/.f64 (exp.f64 (log.f64 (-.f64 x (sin.f64 x)))) (-.f64 x (tan.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sin.f64 x)) (fma.f64 -1 (sin.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (sin.f64 x)))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (-.f64 x (tan.f64 x))) (/.f64 (sin.f64 x) (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (sin.f64 x)) (/.f64 1 (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (/.f64 1 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (*.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (/.f64 1 (-.f64 x (tan.f64 x)))))))) 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(sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (cbrt.f64 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 x (tan.f64 x)) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (sqrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (sqrt.f64 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2))) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) (pow.f64 (-.f64 x (tan.f64 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) (pow.f64 (-.f64 x (tan.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))))))

simplify44.0ms (0.3%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
085534
1260464
2864430
34498402
Stop Event
1×node limit
Counts
183 → 185
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 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) 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)))
(fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))
(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 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))
(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)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 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) (cos.f64 x)) 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 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (+.f64 1 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (/.f64 (sin.f64 x) x) (*.f64 x (cos.f64 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 1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 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 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (+.f64 1 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (/.f64 (sin.f64 x) x) (*.f64 x (cos.f64 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))))))

localize26.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
0.0b
(sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
0.0b
(/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))
0.0b
(pow.f64 (+.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) -1)
0.1b
(/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))
1.9b
(-.f64 x (tan.f64 x))
1.9b
(-.f64 x (sin.f64 x))
✓15.9b
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
Compiler

Compiled 145 to 14 computations (90.3% saved)

series24.0ms (0.1%)

Counts
1 → 6
Calls

3 calls:

TimeVariablePointExpression
16.0ms
x
@0
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
4.0ms
x
@-inf
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
4.0ms
x
@inf
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))

rewrite54.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
465×log-prod_binary64
348×exp-prod_binary64
307×pow-prod-down_binary64
248×fma-def_binary64
245×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0941
120224
2290318
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2))) 2) (cbrt.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2))) (sqrt.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) 3) (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) 3)) (+.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) 2) (-.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) 2) (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) 2) (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) 2)) (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2)))) 2)) (cbrt.f64 (log.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2))))) (sqrt.f64 (log.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (+.f64 1 (expm1.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (+.f64 1 (expm1.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (+.f64 1 (expm1.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (+.f64 1 (expm1.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) 2))))))))

simplify33.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
748×associate-*l*_binary64
674×associate-*r*_binary64
319×distribute-rgt-in_binary64
317×distribute-lft-in_binary64
270×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
07390
120750
271326
3365426
Stop Event
1×node limit
Counts
47 → 48
Calls
Call 1
Inputs
(/.f64 (+.f64 6 (*.f64 -1 (pow.f64 (sqrt.f64 6) 2))) (pow.f64 x 2))
(+.f64 (*.f64 (-.f64 (+.f64 1271/1400 (*.f64 -1 (-.f64 1271/1400 (pow.f64 (/.f64 23/20 (sqrt.f64 6)) 2)))) (*.f64 529/400 (/.f64 1 (pow.f64 (sqrt.f64 6) 2)))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sqrt.f64 6) 2) (pow.f64 x 2))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 (-.f64 (+.f64 1271/1400 (*.f64 -1 (-.f64 1271/1400 (pow.f64 (/.f64 23/20 (sqrt.f64 6)) 2)))) (*.f64 529/400 (/.f64 1 (pow.f64 (sqrt.f64 6) 2)))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sqrt.f64 6) 2) (pow.f64 x 2))) (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 (+.f64 46187/126000 (+.f64 (*.f64 -1 (-.f64 46187/126000 (*.f64 23/20 (/.f64 (-.f64 1271/1400 (pow.f64 (/.f64 23/20 (sqrt.f64 6)) 2)) (pow.f64 (sqrt.f64 6) 2))))) (*.f64 -23/20 (/.f64 (-.f64 1271/1400 (pow.f64 (/.f64 23/20 (sqrt.f64 6)) 2)) (pow.f64 (sqrt.f64 6) 2))))) (pow.f64 x 4)))))
(+.f64 (*.f64 (-.f64 (+.f64 1271/1400 (*.f64 -1 (-.f64 1271/1400 (pow.f64 (/.f64 23/20 (sqrt.f64 6)) 2)))) (*.f64 529/400 (/.f64 1 (pow.f64 (sqrt.f64 6) 2)))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sqrt.f64 6) 2) (pow.f64 x 2))) (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 (+.f64 46187/126000 (+.f64 (*.f64 -1 (-.f64 46187/126000 (*.f64 23/20 (/.f64 (-.f64 1271/1400 (pow.f64 (/.f64 23/20 (sqrt.f64 6)) 2)) (pow.f64 (sqrt.f64 6) 2))))) (*.f64 -23/20 (/.f64 (-.f64 1271/1400 (pow.f64 (/.f64 23/20 (sqrt.f64 6)) 2)) (pow.f64 (sqrt.f64 6) 2))))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 -1 (-.f64 57630443/388080000 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (-.f64 1271/1400 (pow.f64 (/.f64 23/20 (sqrt.f64 6)) 2)) (sqrt.f64 6))) 2) (*.f64 23/20 (/.f64 (-.f64 46187/126000 (*.f64 23/20 (/.f64 (-.f64 1271/1400 (pow.f64 (/.f64 23/20 (sqrt.f64 6)) 2)) (pow.f64 (sqrt.f64 6) 2)))) (pow.f64 (sqrt.f64 6) 2)))))) (+.f64 57630443/388080000 (+.f64 (*.f64 -23/20 (/.f64 (-.f64 46187/126000 (*.f64 23/20 (/.f64 (-.f64 1271/1400 (pow.f64 (/.f64 23/20 (sqrt.f64 6)) 2)) (pow.f64 (sqrt.f64 6) 2)))) (pow.f64 (sqrt.f64 6) 2))) (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 1271/1400 (pow.f64 (/.f64 23/20 (sqrt.f64 6)) 2)) 2) (pow.f64 (sqrt.f64 6) 2)))))) (pow.f64 x 6))))))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))
Outputs
(/.f64 (+.f64 6 (*.f64 -1 (pow.f64 (sqrt.f64 6) 2))) (pow.f64 x 2))
(/.f64 (+.f64 6 (neg.f64 (pow.f64 (sqrt.f64 6) 2))) (*.f64 x x))
(/.f64 0 (*.f64 x x))
0
(+.f64 (*.f64 (-.f64 (+.f64 1271/1400 (*.f64 -1 (-.f64 1271/1400 (pow.f64 (/.f64 23/20 (sqrt.f64 6)) 2)))) (*.f64 529/400 (/.f64 1 (pow.f64 (sqrt.f64 6) 2)))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sqrt.f64 6) 2) (pow.f64 x 2))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 6 (neg.f64 (pow.f64 (sqrt.f64 6) 2))) (*.f64 x x))
(/.f64 0 (*.f64 x x))
0
(+.f64 (*.f64 (-.f64 (+.f64 1271/1400 (*.f64 -1 (-.f64 1271/1400 (pow.f64 (/.f64 23/20 (sqrt.f64 6)) 2)))) (*.f64 529/400 (/.f64 1 (pow.f64 (sqrt.f64 6) 2)))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sqrt.f64 6) 2) (pow.f64 x 2))) (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 (+.f64 46187/126000 (+.f64 (*.f64 -1 (-.f64 46187/126000 (*.f64 23/20 (/.f64 (-.f64 1271/1400 (pow.f64 (/.f64 23/20 (sqrt.f64 6)) 2)) (pow.f64 (sqrt.f64 6) 2))))) (*.f64 -23/20 (/.f64 (-.f64 1271/1400 (pow.f64 (/.f64 23/20 (sqrt.f64 6)) 2)) (pow.f64 (sqrt.f64 6) 2))))) (pow.f64 x 4)))))
(/.f64 (+.f64 6 (neg.f64 (pow.f64 (sqrt.f64 6) 2))) (*.f64 x x))
(/.f64 0 (*.f64 x x))
0
(+.f64 (*.f64 (-.f64 (+.f64 1271/1400 (*.f64 -1 (-.f64 1271/1400 (pow.f64 (/.f64 23/20 (sqrt.f64 6)) 2)))) (*.f64 529/400 (/.f64 1 (pow.f64 (sqrt.f64 6) 2)))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sqrt.f64 6) 2) (pow.f64 x 2))) (+.f64 (*.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 (+.f64 46187/126000 (+.f64 (*.f64 -1 (-.f64 46187/126000 (*.f64 23/20 (/.f64 (-.f64 1271/1400 (pow.f64 (/.f64 23/20 (sqrt.f64 6)) 2)) (pow.f64 (sqrt.f64 6) 2))))) (*.f64 -23/20 (/.f64 (-.f64 1271/1400 (pow.f64 (/.f64 23/20 (sqrt.f64 6)) 2)) (pow.f64 (sqrt.f64 6) 2))))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 -1 (-.f64 57630443/388080000 (+.f64 (pow.f64 (*.f64 1/2 (/.f64 (-.f64 1271/1400 (pow.f64 (/.f64 23/20 (sqrt.f64 6)) 2)) (sqrt.f64 6))) 2) (*.f64 23/20 (/.f64 (-.f64 46187/126000 (*.f64 23/20 (/.f64 (-.f64 1271/1400 (pow.f64 (/.f64 23/20 (sqrt.f64 6)) 2)) (pow.f64 (sqrt.f64 6) 2)))) (pow.f64 (sqrt.f64 6) 2)))))) (+.f64 57630443/388080000 (+.f64 (*.f64 -23/20 (/.f64 (-.f64 46187/126000 (*.f64 23/20 (/.f64 (-.f64 1271/1400 (pow.f64 (/.f64 23/20 (sqrt.f64 6)) 2)) (pow.f64 (sqrt.f64 6) 2)))) (pow.f64 (sqrt.f64 6) 2))) (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 1271/1400 (pow.f64 (/.f64 23/20 (sqrt.f64 6)) 2)) 2) (pow.f64 (sqrt.f64 6) 2)))))) (pow.f64 x 6))))))
(/.f64 (+.f64 6 (neg.f64 (pow.f64 (sqrt.f64 6) 2))) (*.f64 x x))
(/.f64 0 (*.f64 x x))
0
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))
(/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))
(/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))

eval712.0ms (4.1%)

Compiler

Compiled 50095 to 14775 computations (70.5% saved)

prune291.0ms (1.7%)

Pruning

22 alts after pruning (13 fresh and 9 done)

PrunedKeptTotal
New162481632
Fresh257
Picked011
Done2810
Total1628221650
Error
0.0b
Counts
1650 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
27.5b
(-.f64 (+.f64 1/2 (*.f64 9/40 (*.f64 x x))) 1)
52.4b
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 x (sin.f64 x)))) (-.f64 x (tan.f64 x)))
✓27.5b
(+.f64 -1/2 (*.f64 x (-.f64 (+.f64 1 (*.f64 x 9/40)) 1)))
✓52.2b
(/.f64 (exp.f64 (log.f64 (-.f64 x (sin.f64 x)))) (-.f64 x (tan.f64 x)))
✓27.5b
(+.f64 -1/2 (*.f64 x (*.f64 x 9/40)))
27.9b
-1/2
35.9b
1
✓35.5b
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
28.0b
(-.f64 (*.f64 (*.f64 x x) (-.f64 (+.f64 1 (fma.f64 x (*.f64 x -27/2800) 9/40)) 1)) 1/2)
35.5b
(/.f64 1 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))
✓47.7b
(pow.f64 (+.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) -1)
55.9b
(pow.f64 (+.f64 (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (+.f64 x (sin.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) -1)
57.1b
(pow.f64 (+.f64 (/.f64 (-.f64 x (tan.f64 x)) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) -1)
✓59.3b
(/.f64 (pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) 1/3) (-.f64 x (tan.f64 x)))
51.3b
(+.f64 (fma.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)))) (neg.f64 (*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2))))) (fma.f64 (neg.f64 (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 x (tan.f64 x))))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)))))
✓36.3b
(/.f64 x (-.f64 x (tan.f64 x)))
✓49.9b
(/.f64 (-.f64 x (sin.f64 x)) (fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 x (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
35.5b
(pow.f64 (+.f64 (fma.f64 1 (/.f64 x (-.f64 x (sin.f64 x))) (neg.f64 (*.f64 (/.f64 1 (cbrt.f64 (-.f64 x (sin.f64 x)))) (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) -2)))))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 x (sin.f64 x))))) (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) -2))) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 x (sin.f64 x)))) (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) -2)))))) -1)
✓35.5b
(pow.f64 (fma.f64 x (/.f64 1 (-.f64 x (sin.f64 x))) (neg.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) -1)
28.0b
(-.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) 1/2)
36.4b
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x)
34.4b
(/.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) x))
Compiler

Compiled 483 to 254 computations (47.4% saved)

regimes166.0ms (1%)

Counts
22 → 3
Calls
Call 1
Inputs
1
-1/2
(+.f64 -1/2 (*.f64 x (*.f64 x 9/40)))
(-.f64 (+.f64 1/2 (*.f64 9/40 (*.f64 x x))) 1)
(+.f64 -1/2 (*.f64 x (-.f64 (+.f64 1 (*.f64 x 9/40)) 1)))
(-.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) 1/2)
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x)
(-.f64 (*.f64 (*.f64 x x) (-.f64 (+.f64 1 (fma.f64 x (*.f64 x -27/2800) 9/40)) 1)) 1/2)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 1 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))
(/.f64 (exp.f64 (log.f64 (-.f64 x (sin.f64 x)))) (-.f64 x (tan.f64 x)))
(/.f64 (pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) 1/3) (-.f64 x (tan.f64 x)))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 x (sin.f64 x)))) (-.f64 x (tan.f64 x)))
(pow.f64 (fma.f64 x (/.f64 1 (-.f64 x (sin.f64 x))) (neg.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) -1)
(/.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) x))
(/.f64 (-.f64 x (sin.f64 x)) (fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 x (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(pow.f64 (+.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) -1)
(pow.f64 (+.f64 (/.f64 (-.f64 x (tan.f64 x)) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) -1)
(pow.f64 (+.f64 (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (+.f64 x (sin.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) -1)
(pow.f64 (+.f64 (fma.f64 1 (/.f64 x (-.f64 x (sin.f64 x))) (neg.f64 (*.f64 (/.f64 1 (cbrt.f64 (-.f64 x (sin.f64 x)))) (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) -2)))))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 x (sin.f64 x))))) (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) -2))) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 x (sin.f64 x)))) (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) -2)))))) -1)
(+.f64 (fma.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)))) (neg.f64 (*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2))))) (fma.f64 (neg.f64 (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 x (tan.f64 x))))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)) (*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 x (tan.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (tan.f64 x))) 2)))))
Outputs
(/.f64 1 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))
(-.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) 1/2)
(pow.f64 (+.f64 (fma.f64 1 (/.f64 x (-.f64 x (sin.f64 x))) (neg.f64 (*.f64 (/.f64 1 (cbrt.f64 (-.f64 x (sin.f64 x)))) (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) -2)))))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 x (sin.f64 x))))) (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) -2))) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 x (sin.f64 x)))) (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) -2)))))) -1)
Calls

3 calls:

146.0ms
x
5.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
5.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Results
ErrorSegmentsBranch
0.0b3x
0.2b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
0.2b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 484 to 183 computations (62.2% saved)

bsearch85.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
44.0ms
0.0008580944808595899
0.1744345875495363
41.0ms
-32.497782839238596
-5.113372963319825e-5
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes71.0ms (0.4%)

Counts
20 → 3
Calls
Call 1
Inputs
1
-1/2
(+.f64 -1/2 (*.f64 x (*.f64 x 9/40)))
(-.f64 (+.f64 1/2 (*.f64 9/40 (*.f64 x x))) 1)
(+.f64 -1/2 (*.f64 x (-.f64 (+.f64 1 (*.f64 x 9/40)) 1)))
(-.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) 1/2)
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x)
(-.f64 (*.f64 (*.f64 x x) (-.f64 (+.f64 1 (fma.f64 x (*.f64 x -27/2800) 9/40)) 1)) 1/2)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 1 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))
(/.f64 (exp.f64 (log.f64 (-.f64 x (sin.f64 x)))) (-.f64 x (tan.f64 x)))
(/.f64 (pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) 1/3) (-.f64 x (tan.f64 x)))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 x (sin.f64 x)))) (-.f64 x (tan.f64 x)))
(pow.f64 (fma.f64 x (/.f64 1 (-.f64 x (sin.f64 x))) (neg.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) -1)
(/.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) x))
(/.f64 (-.f64 x (sin.f64 x)) (fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (+.f64 x (tan.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (tan.f64 x))))
(pow.f64 (+.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) -1)
(pow.f64 (+.f64 (/.f64 (-.f64 x (tan.f64 x)) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) -1)
(pow.f64 (+.f64 (/.f64 (-.f64 x (tan.f64 x)) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (+.f64 x (sin.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) (sqrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) -1)
Outputs
(/.f64 1 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))
(-.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) 1/2)
(/.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) x))
Calls

3 calls:

54.0ms
x
5.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
5.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Results
ErrorSegmentsBranch
0.0b3x
0.2b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
0.2b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 341 to 127 computations (62.8% saved)

bsearch85.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
50.0ms
0.0008580944808595899
0.1744345875495363
34.0ms
-32.497782839238596
-5.113372963319825e-5
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes38.0ms (0.2%)

Counts
15 → 3
Calls
Call 1
Inputs
1
-1/2
(+.f64 -1/2 (*.f64 x (*.f64 x 9/40)))
(-.f64 (+.f64 1/2 (*.f64 9/40 (*.f64 x x))) 1)
(+.f64 -1/2 (*.f64 x (-.f64 (+.f64 1 (*.f64 x 9/40)) 1)))
(-.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) 1/2)
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x)
(-.f64 (*.f64 (*.f64 x x) (-.f64 (+.f64 1 (fma.f64 x (*.f64 x -27/2800) 9/40)) 1)) 1/2)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 1 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))
(/.f64 (exp.f64 (log.f64 (-.f64 x (sin.f64 x)))) (-.f64 x (tan.f64 x)))
(/.f64 (pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) 1/3) (-.f64 x (tan.f64 x)))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 x (sin.f64 x)))) (-.f64 x (tan.f64 x)))
(pow.f64 (fma.f64 x (/.f64 1 (-.f64 x (sin.f64 x))) (neg.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))) -1)
Outputs
(/.f64 1 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))
(-.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) 1/2)
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Calls

3 calls:

24.0ms
x
6.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
4.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Results
ErrorSegmentsBranch
0.0b3x
0.2b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
0.2b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 170 to 87 computations (48.8% saved)

bsearch73.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
34.0ms
0.0008580944808595899
0.1744345875495363
39.0ms
-32.497782839238596
-5.113372963319825e-5
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes35.0ms (0.2%)

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

2 calls:

28.0ms
x
4.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Results
ErrorSegmentsBranch
0.0b3x
0.2b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 94 to 59 computations (37.2% saved)

bsearch89.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
33.0ms
0.0008580944808595899
0.1744345875495363
55.0ms
-32.497782839238596
-5.113372963319825e-5
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes29.0ms (0.2%)

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

1 calls:

26.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
Compiler

Compiled 75 to 50 computations (33.3% saved)

bsearch70.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
35.0ms
0.9302757541789467
80529050515177140.0
34.0ms
-32.497782839238596
-5.113372963319825e-5
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes43.0ms (0.2%)

Counts
8 → 3
Calls
Call 1
Inputs
1
-1/2
(+.f64 -1/2 (*.f64 x (*.f64 x 9/40)))
(-.f64 (+.f64 1/2 (*.f64 9/40 (*.f64 x x))) 1)
(+.f64 -1/2 (*.f64 x (-.f64 (+.f64 1 (*.f64 x 9/40)) 1)))
(-.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) 1/2)
(/.f64 x (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x)
Outputs
(/.f64 x (-.f64 x (tan.f64 x)))
(-.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) 1/2)
1
Calls

1 calls:

40.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
Compiler

Compiled 59 to 39 computations (33.9% saved)

bsearch77.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
42.0ms
0.9302757541789467
80529050515177140.0
35.0ms
-32.497782839238596
-5.113372963319825e-5
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes16.0ms (0.1%)

Counts
6 → 3
Calls
Call 1
Inputs
1
-1/2
(+.f64 -1/2 (*.f64 x (*.f64 x 9/40)))
(-.f64 (+.f64 1/2 (*.f64 9/40 (*.f64 x x))) 1)
(+.f64 -1/2 (*.f64 x (-.f64 (+.f64 1 (*.f64 x 9/40)) 1)))
(-.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) 1/2)
Outputs
1
(-.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) 1/2)
1
Calls

1 calls:

14.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
Compiler

Compiled 45 to 33 computations (26.7% saved)

bsearch91.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
56.0ms
0.9302757541789467
80529050515177140.0
35.0ms
-32.497782839238596
-5.113372963319825e-5
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes13.0ms (0.1%)

Counts
5 → 3
Calls
Call 1
Inputs
1
-1/2
(+.f64 -1/2 (*.f64 x (*.f64 x 9/40)))
(-.f64 (+.f64 1/2 (*.f64 9/40 (*.f64 x x))) 1)
(+.f64 -1/2 (*.f64 x (-.f64 (+.f64 1 (*.f64 x 9/40)) 1)))
Outputs
1
(+.f64 -1/2 (*.f64 x (*.f64 x 9/40)))
1
Calls

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
0.6b3x
Compiler

Compiled 32 to 25 computations (21.9% saved)

bsearch82.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
37.0ms
0.9302757541789467
80529050515177140.0
44.0ms
-32.497782839238596
-5.113372963319825e-5
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes11.0ms (0.1%)

Accuracy

Total -62.2b remaining (-7522.5%)

Threshold costs -62.2b (-7522.5%)

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

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
0.8b3x
Compiler

Compiled 5 to 4 computations (20% saved)

bsearch76.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
42.0ms
0.9302757541789467
80529050515177140.0
35.0ms
-32.497782839238596
-5.113372963319825e-5
Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify44.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
16×+-commutative_binary64
15×*-commutative_binary64
12×sub-neg_binary64
7×neg-sub0_binary64
7×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073506
1106506
2131506
3142506
4147506
5148506
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -571707041738915/17592186044416) (/.f64 1 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))) (if (<=.f64 x 15829049279479514/18446744073709551616) (-.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) 1/2) (pow.f64 (+.f64 (fma.f64 1 (/.f64 x (-.f64 x (sin.f64 x))) (neg.f64 (*.f64 (/.f64 1 (cbrt.f64 (-.f64 x (sin.f64 x)))) (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) -2)))))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 x (sin.f64 x))))) (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) -2))) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 x (sin.f64 x)))) (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) -2)))))) -1)))
(if (<=.f64 x -571707041738915/17592186044416) (/.f64 1 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))) (if (<=.f64 x 15829049279479514/18446744073709551616) (-.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) x))))
(if (<=.f64 x -571707041738915/17592186044416) (/.f64 1 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))) (if (<=.f64 x 15829049279479514/18446744073709551616) (-.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -571707041738915/17592186044416) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 15829049279479514/18446744073709551616) (-.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -571707041738915/17592186044416) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 17160558755316168704/18446744073709551616) (-.f64 (*.f64 (*.f64 x x) (-.f64 (+.f64 1 (fma.f64 x (*.f64 x -27/2800) 9/40)) 1)) 1/2) 1))
(if (<=.f64 x -571707041738915/17592186044416) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 17160558755316168704/18446744073709551616) (-.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) 1/2) 1))
(if (<=.f64 x -571707041738915/17592186044416) 1 (if (<=.f64 x 17160558755316168704/18446744073709551616) (-.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) 1/2) 1))
(if (<=.f64 x -571707041738915/17592186044416) 1 (if (<=.f64 x 17160558755316168704/18446744073709551616) (+.f64 -1/2 (*.f64 x (*.f64 x 9/40))) 1))
(if (<=.f64 x -571707041738915/17592186044416) 1 (if (<=.f64 x 17160558755316168704/18446744073709551616) -1/2 1))
1
Outputs
(if (<=.f64 x -571707041738915/17592186044416) (/.f64 1 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))) (if (<=.f64 x 15829049279479514/18446744073709551616) (-.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) 1/2) (pow.f64 (+.f64 (fma.f64 1 (/.f64 x (-.f64 x (sin.f64 x))) (neg.f64 (*.f64 (/.f64 1 (cbrt.f64 (-.f64 x (sin.f64 x)))) (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) -2)))))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (-.f64 x (sin.f64 x))))) (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) -2))) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 x (sin.f64 x)))) (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) -2)))))) -1)))
(if (<=.f64 x -571707041738915/17592186044416) (/.f64 1 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))) (if (<=.f64 x 7914524639739757/9223372036854775808) (+.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) -1/2) (pow.f64 (+.f64 (fma.f64 1 (/.f64 x (-.f64 x (sin.f64 x))) (*.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (sin.f64 x)))) (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) -2))))) (fma.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (sin.f64 x)))) (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) -2))) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 x (sin.f64 x)))) (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) -2)))))) -1)))
(if (<=.f64 x -571707041738915/17592186044416) (/.f64 1 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))) (if (<=.f64 x 7914524639739757/9223372036854775808) (+.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) -1/2) (pow.f64 (+.f64 (fma.f64 1 (/.f64 x (-.f64 x (sin.f64 x))) (*.f64 (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) -2))) (/.f64 -1 (cbrt.f64 (-.f64 x (sin.f64 x)))))) (fma.f64 (/.f64 -1 (cbrt.f64 (-.f64 x (sin.f64 x)))) (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) -2))) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 x (sin.f64 x)))) (*.f64 (tan.f64 x) (cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) -2)))))) -1)))
(if (<=.f64 x -571707041738915/17592186044416) (/.f64 1 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))) (if (<=.f64 x 15829049279479514/18446744073709551616) (-.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) x))))
(if (<=.f64 x -571707041738915/17592186044416) (/.f64 1 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))) (if (<=.f64 x 7914524639739757/9223372036854775808) (+.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)) x))))
(if (<=.f64 x -571707041738915/17592186044416) (/.f64 1 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))) (if (<=.f64 x 15829049279479514/18446744073709551616) (-.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -571707041738915/17592186044416) (/.f64 1 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))) (if (<=.f64 x 7914524639739757/9223372036854775808) (+.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -571707041738915/17592186044416) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 15829049279479514/18446744073709551616) (-.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -571707041738915/17592186044416) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 7914524639739757/9223372036854775808) (+.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -571707041738915/17592186044416) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 17160558755316168704/18446744073709551616) (-.f64 (*.f64 (*.f64 x x) (-.f64 (+.f64 1 (fma.f64 x (*.f64 x -27/2800) 9/40)) 1)) 1/2) 1))
(if (<=.f64 x -571707041738915/17592186044416) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 8379179079744223/9007199254740992) (+.f64 (*.f64 (*.f64 x x) (+.f64 (+.f64 1 (fma.f64 x (*.f64 x -27/2800) 9/40)) -1)) -1/2) 1))
(if (<=.f64 x -571707041738915/17592186044416) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 8379179079744223/9007199254740992) (+.f64 (*.f64 (*.f64 x x) (+.f64 -1 (+.f64 1 (fma.f64 x (*.f64 x -27/2800) 9/40)))) -1/2) 1))
(if (<=.f64 x -571707041738915/17592186044416) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 17160558755316168704/18446744073709551616) (-.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) 1/2) 1))
(if (<=.f64 x -571707041738915/17592186044416) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 8379179079744223/9007199254740992) (+.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) -1/2) 1))
(if (<=.f64 x -571707041738915/17592186044416) 1 (if (<=.f64 x 17160558755316168704/18446744073709551616) (-.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) 1/2) 1))
(if (<=.f64 x -571707041738915/17592186044416) 1 (if (<=.f64 x 8379179079744223/9007199254740992) (+.f64 (*.f64 (*.f64 x x) (+.f64 9/40 (*.f64 x (*.f64 x -27/2800)))) -1/2) 1))
(if (<=.f64 x -571707041738915/17592186044416) 1 (if (<=.f64 x 17160558755316168704/18446744073709551616) (+.f64 -1/2 (*.f64 x (*.f64 x 9/40))) 1))
(if (<=.f64 x -571707041738915/17592186044416) 1 (if (<=.f64 x 8379179079744223/9007199254740992) (+.f64 -1/2 (*.f64 x (*.f64 x 9/40))) 1))
(if (<=.f64 x -571707041738915/17592186044416) 1 (if (<=.f64 x 17160558755316168704/18446744073709551616) -1/2 1))
(if (<=.f64 x -571707041738915/17592186044416) 1 (if (<=.f64 x 8379179079744223/9007199254740992) -1/2 1))
1

end160.0ms (0.9%)

Stop Event
1×fuel
Compiler

Compiled 683 to 389 computations (43% saved)

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