Details

Time bar (total: 11.8s)

analyze1.9s (15.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
0%100%0%4
0%100%0%5
0%100%0%6
0%100%0%7
0%100%0%8
0%100%0%9
0%100%0%10
0%100%0%11
0%100%0%12
0%100%0%13
0.1%99.9%0%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample8.5s (72%)

Results
5.3s2118×body2048valid
2.1s2994×body1024valid
640.0ms1567×body512valid
206.0ms763×body256valid
176.0ms117×body4096valid
136.0ms697×body128valid
Compiler

Compiled 22 to 14 computations (36.4% saved)

preprocess69.0ms (0.6%)

Algorithm
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
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify61.0ms (0.5%)

Algorithm
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
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))

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
31.5b
Counts
3 → 1
Alt Table
StatusErrorProgram
31.5b
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 39 to 21 computations (46.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
2.1b
(-.f64 x (tan.f64 x))
2.1b
(-.f64 x (sin.f64 x))

series7.0ms (0.1%)

Counts
3 → 30
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))

rewrite177.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
982×prod-diff_binary64
233×egg-rr
170×log1p-udef_binary64
95×add-sqr-sqrt_binary64
94×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0726
117026
2277926
Stop Event
node limit
Counts
3 → 336
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 (tan.f64 x))) 2)) (/.f64 (-.f64 x (sin.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 (-.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) 1) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (-.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (-.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 (/.f64 (sqrt.f64 (-.f64 x (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 (/.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))) 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 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)))))))))

simplify54.0ms (0.5%)

Algorithm
egg-herbie
Rules
419×unswap-sqr_binary64
338×times-frac_binary64
295×fma-def_binary64
275×sub-neg_binary64
219×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
092658
1261654
2860614
34331602
Stop Event
node limit
Counts
366 → 367
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 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))) (*.f64 1/120 (pow.f64 x 5)))
(-.f64 (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 1/362880 (pow.f64 x 9))))
x
x
(*.f64 -1/3 (pow.f64 x 3))
(neg.f64 (+.f64 (*.f64 2/15 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 2/15 (pow.f64 x 5)) (+.f64 (*.f64 17/315 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 2/15 (pow.f64 x 5)) (+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 1/3 (pow.f64 x 3))))))
x
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
x
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))
(-.f64 (+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2))) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))
1
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1) (/.f64 (sin.f64 x) x))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) x)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) x))))
1
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1) (/.f64 (sin.f64 x) x))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) x)))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.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)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -1/120))
(fma.f64 (pow.f64 x 5) -1/120 (*.f64 1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))) (*.f64 1/120 (pow.f64 x 5)))
(+.f64 (fma.f64 1/5040 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 3))) (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -1/120)))
(fma.f64 (pow.f64 x 5) -1/120 (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/5040 (pow.f64 x 7))))
(-.f64 (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 1/6 (pow.f64 x 3))) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 1/362880 (pow.f64 x 9))))
(-.f64 (fma.f64 1/5040 (pow.f64 x 7) (*.f64 1/6 (pow.f64 x 3))) (fma.f64 1/120 (pow.f64 x 5) (*.f64 1/362880 (pow.f64 x 9))))
(-.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/5040 (pow.f64 x 7))) (fma.f64 1/120 (pow.f64 x 5) (*.f64 1/362880 (pow.f64 x 9))))
(fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 (pow.f64 x 5) -1/120 (*.f64 (pow.f64 x 9) -1/362880))))
x
x
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/3)
(neg.f64 (+.f64 (*.f64 2/15 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))))
(neg.f64 (fma.f64 2/15 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/3)))
(+.f64 (*.f64 (pow.f64 x 5) -2/15) (*.f64 (pow.f64 x 3) -1/3))
(fma.f64 (pow.f64 x 3) -1/3 (*.f64 (pow.f64 x 5) -2/15))
(neg.f64 (+.f64 (*.f64 2/15 (pow.f64 x 5)) (+.f64 (*.f64 17/315 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3)))))
(neg.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 17/315 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/3))))
(-.f64 (*.f64 (pow.f64 x 5) -2/15) (fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 7) 17/315)))
(fma.f64 (pow.f64 x 5) -2/15 (fma.f64 (pow.f64 x 3) -1/3 (*.f64 (pow.f64 x 7) -17/315)))
(neg.f64 (+.f64 (*.f64 2/15 (pow.f64 x 5)) (+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 1/3 (pow.f64 x 3))))))
(neg.f64 (fma.f64 2/15 (pow.f64 x 5) (fma.f64 17/315 (pow.f64 x 7) (fma.f64 62/2835 (pow.f64 x 9) (*.f64 (pow.f64 x 3) 1/3)))))
(-.f64 (*.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 9) 62/2835))))
(-.f64 (fma.f64 (pow.f64 x 5) -2/15 (fma.f64 (pow.f64 x 3) -1/3 (*.f64 (pow.f64 x 7) -17/315))) (*.f64 (pow.f64 x 9) 62/2835))
x
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
x
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 x (/.f64 (sin.f64 x) (cos.f64 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 9/40 (pow.f64 x 2)) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))
(-.f64 (*.f64 9/40 (*.f64 x x)) (fma.f64 27/2800 (pow.f64 x 4) 1/2))
(+.f64 -1/2 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800)))
(-.f64 (+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2))) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))
(-.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 9/40 (*.f64 x x))) (fma.f64 27/2800 (pow.f64 x 4) 1/2))
(-.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 27/2800 (pow.f64 x 4) 1/2))
(-.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 27/2800 (pow.f64 x 4) 1/2))
1
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1) (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (-.f64 1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (sin.f64 x) x)))
(-.f64 1 (-.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) x))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) x)))
(-.f64 (+.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 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 x x)))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 1 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (cos.f64 x))))))))
(+.f64 1 (+.f64 (-.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (-.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) x))))
(-.f64 (+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 3))))) (+.f64 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 x x)))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 3)))) (+.f64 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (cos.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)))) (-.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (-.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2))))))
(-.f64 (+.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (pow.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) 3))) (-.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (-.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (cos.f64 x) 2)))
1
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) 1) (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (-.f64 1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (sin.f64 x) x)))
(-.f64 1 (-.f64 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) x))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) x)))
(-.f64 (+.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 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 x x)))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 1 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (cos.f64 x))))))))
(+.f64 1 (+.f64 (-.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (-.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (sin.f64 x) x))))
(-.f64 (+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 3))))) (+.f64 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (*.f64 x x)))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 3)))) (+.f64 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (*.f64 x (cos.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)))) (-.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (-.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2))))))
(-.f64 (+.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (pow.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) 3))) (-.f64 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (-.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (cos.f64 x)))) (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (cos.f64 x) 2)))

prune239.0ms (2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3625367
Fresh000
Picked101
Done000
Total3635368
Error
0.0b
Counts
368 → 5
Alt Table
StatusErrorProgram
31.5b
(pow.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) -1)
31.5b
(/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (-.f64 x (tan.f64 x)) 1))
44.3b
(/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (+.f64 x (tan.f64 x))))
31.1b
(-.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 27/2800 (pow.f64 x 4) 1/2))
31.3b
(+.f64 -1/2 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800)))
Compiler

Compiled 16725 to 4243 computations (74.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 x (*.f64 x 9/40) (*.f64 27/112000 (pow.f64 x 6)))
0.1b
(fma.f64 27/2800 (pow.f64 x 4) 1/2)
0.2b
(*.f64 x 9/40)
17.3b
(-.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 27/2800 (pow.f64 x 4) 1/2))

series10.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
x
@0
(-.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 27/2800 (pow.f64 x 4) 1/2))
1.0ms
x
@inf
(-.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 27/2800 (pow.f64 x 4) 1/2))
1.0ms
x
@-inf
(fma.f64 27/2800 (pow.f64 x 4) 1/2)
1.0ms
x
@-inf
(-.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 27/2800 (pow.f64 x 4) 1/2))
1.0ms
x
@0
(fma.f64 x (*.f64 x 9/40) (*.f64 27/112000 (pow.f64 x 6)))

rewrite66.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
596×prod-diff_binary64
261×log1p-udef_binary64
156×add-sqr-sqrt_binary64
152×add-log-exp_binary64
152×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01550
132850
2374650
Stop Event
node limit
Counts
4 → 110
Calls
Call 1
Inputs
(-.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 27/2800 (pow.f64 x 4) 1/2))
(*.f64 x 9/40)
(fma.f64 27/2800 (pow.f64 x 4) 1/2)
(fma.f64 x (*.f64 x 9/40) (*.f64 27/112000 (pow.f64 x 6)))
Outputs
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simplify32.0ms (0.3%)

Algorithm
egg-herbie
Rules
796×fma-neg_binary64
618×cancel-sign-sub-inv_binary64
285×unswap-sqr_binary64
255×distribute-rgt-neg-in_binary64
238×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024472
164464
2142456
3428456
41825456
Stop Event
node limit
Counts
158 → 130
Calls
Call 1
Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))
(-.f64 (+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2))) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))
(*.f64 27/112000 (pow.f64 x 6))
(-.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 27/2800 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2))) (*.f64 27/2800 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2))) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))
(*.f64 27/112000 (pow.f64 x 6))
(-.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 27/2800 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2))) (*.f64 27/2800 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2))) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))
(*.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 27/2800 (pow.f64 x 4)) 1/2)
(+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2)
(+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2)
(*.f64 27/2800 (pow.f64 x 4))
(+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2)
(+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2)
(+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2)
(*.f64 27/2800 (pow.f64 x 4))
(+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2)
(+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2)
(+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2)
(*.f64 9/40 (pow.f64 x 2))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2)))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2)))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2)))
(*.f64 27/112000 (pow.f64 x 6))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2)))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2)))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2)))
(*.f64 27/112000 (pow.f64 x 6))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2)))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2)))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 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)) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))
(-.f64 (*.f64 9/40 (*.f64 x x)) (fma.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 9/40 (*.f64 x x) (fma.f64 (pow.f64 x 4) -27/2800 -1/2))
(-.f64 (+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2))) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))
(-.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 9/40 (*.f64 x x))) (fma.f64 27/2800 (pow.f64 x 4) 1/2))
(-.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 27/2800 (pow.f64 x 4) 1/2))
(fma.f64 9/40 (*.f64 x x) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 (pow.f64 x 4) -27/2800 -1/2)))
(fma.f64 (pow.f64 x 4) -27/2800 (fma.f64 9/40 (*.f64 x x) (fma.f64 27/112000 (pow.f64 x 6) -1/2)))
(*.f64 27/112000 (pow.f64 x 6))
(-.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -27/2800))
(fma.f64 (pow.f64 x 4) -27/2800 (*.f64 27/112000 (pow.f64 x 6)))
(-.f64 (+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2))) (*.f64 27/2800 (pow.f64 x 4)))
(+.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 27/112000 (pow.f64 x 6) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) -27/2800)))
(fma.f64 9/40 (*.f64 x x) (fma.f64 (pow.f64 x 4) -27/2800 (*.f64 27/112000 (pow.f64 x 6))))
(-.f64 (+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2))) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))
(-.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 9/40 (*.f64 x x))) (fma.f64 27/2800 (pow.f64 x 4) 1/2))
(-.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 27/2800 (pow.f64 x 4) 1/2))
(fma.f64 9/40 (*.f64 x x) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 (pow.f64 x 4) -27/2800 -1/2)))
(fma.f64 (pow.f64 x 4) -27/2800 (fma.f64 9/40 (*.f64 x x) (fma.f64 27/112000 (pow.f64 x 6) -1/2)))
(*.f64 27/112000 (pow.f64 x 6))
(-.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -27/2800))
(fma.f64 (pow.f64 x 4) -27/2800 (*.f64 27/112000 (pow.f64 x 6)))
(-.f64 (+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2))) (*.f64 27/2800 (pow.f64 x 4)))
(+.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 27/112000 (pow.f64 x 6) (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) -27/2800)))
(fma.f64 9/40 (*.f64 x x) (fma.f64 (pow.f64 x 4) -27/2800 (*.f64 27/112000 (pow.f64 x 6))))
(-.f64 (+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2))) (+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2))
(-.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 9/40 (*.f64 x x))) (fma.f64 27/2800 (pow.f64 x 4) 1/2))
(-.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 27/2800 (pow.f64 x 4) 1/2))
(fma.f64 9/40 (*.f64 x x) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 (pow.f64 x 4) -27/2800 -1/2)))
(fma.f64 (pow.f64 x 4) -27/2800 (fma.f64 9/40 (*.f64 x x) (fma.f64 27/112000 (pow.f64 x 6) -1/2)))
(*.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 27/2800 (pow.f64 x 4)) 1/2)
(fma.f64 27/2800 (pow.f64 x 4) 1/2)
(+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2)
(fma.f64 27/2800 (pow.f64 x 4) 1/2)
(+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2)
(fma.f64 27/2800 (pow.f64 x 4) 1/2)
(*.f64 27/2800 (pow.f64 x 4))
(+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2)
(fma.f64 27/2800 (pow.f64 x 4) 1/2)
(+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2)
(fma.f64 27/2800 (pow.f64 x 4) 1/2)
(+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2)
(fma.f64 27/2800 (pow.f64 x 4) 1/2)
(*.f64 27/2800 (pow.f64 x 4))
(+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2)
(fma.f64 27/2800 (pow.f64 x 4) 1/2)
(+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2)
(fma.f64 27/2800 (pow.f64 x 4) 1/2)
(+.f64 (*.f64 27/2800 (pow.f64 x 4)) 1/2)
(fma.f64 27/2800 (pow.f64 x 4) 1/2)
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 27/112000 (pow.f64 x 6)))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 27/112000 (pow.f64 x 6)))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 27/112000 (pow.f64 x 6)))
(*.f64 27/112000 (pow.f64 x 6))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 27/112000 (pow.f64 x 6)))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 27/112000 (pow.f64 x 6)))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 27/112000 (pow.f64 x 6)))
(*.f64 27/112000 (pow.f64 x 6))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 27/112000 (pow.f64 x 6)))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 27/112000 (pow.f64 x 6)))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 9/40 (pow.f64 x 2)))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 9/40 (*.f64 x x)))
(fma.f64 9/40 (*.f64 x x) (*.f64 27/112000 (pow.f64 x 6)))

prune121.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1291130
Fresh044
Picked101
Done000
Total1305135
Error
0.0b
Counts
135 → 5
Alt Table
StatusErrorProgram
31.5b
(pow.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) -1)
31.5b
(/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (-.f64 x (tan.f64 x)) 1))
44.3b
(/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (+.f64 x (tan.f64 x))))
31.3b
(log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 27/2800 (pow.f64 x 4) 1/2))))
31.3b
(+.f64 -1/2 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800)))
Compiler

Compiled 3485 to 2770 computations (20.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800))
0.1b
(*.f64 (pow.f64 x 4) -27/2800)
0.2b
(*.f64 x 9/40)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (pow.f64 x 4) -27/2800)
1.0ms
x
@inf
(*.f64 (pow.f64 x 4) -27/2800)
0.0ms
x
@0
(fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800))
0.0ms
x
@inf
(fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800))
0.0ms
x
@-inf
(fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800))

rewrite41.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
784×pow1_binary64
731×log1p-expm1-u_binary64
731×expm1-log1p-u_binary64
87×add-sqr-sqrt_binary64
85×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
118821
2201821
Stop Event
node limit
Counts
2 → 36
Calls
Call 1
Inputs
(*.f64 (pow.f64 x 4) -27/2800)
(fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -27/2800))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) -27/2800) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -27/2800) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -27/2800)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 4) -27/2800)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 729/7840000 (pow.f64 x 8)))))) (#(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 (pow.f64 x 4) -27/2800))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -27/2800) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -27/2800)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -27/2800)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) -27/2800)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -27/2800)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 4) -27/2800) (*.f64 x (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 (pow.f64 x 4) -27/2800))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 9/40)) 1) (*.f64 (pow.f64 x 4) -27/2800))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800))) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800)) 2)) (cbrt.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800))) (sqrt.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 9/40)) 3) (pow.f64 (*.f64 (pow.f64 x 4) -27/2800) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 x (*.f64 x 9/40))) (-.f64 (*.f64 729/7840000 (pow.f64 x 8)) (*.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 (pow.f64 x 4) -27/2800)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 x (*.f64 x 9/40))) (*.f64 729/7840000 (pow.f64 x 8))) (-.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 (pow.f64 x 4) -27/2800)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800))))))))

simplify41.0ms (0.3%)

Algorithm
egg-herbie
Rules
870×fma-def_binary64
666×fma-neg_binary64
396×distribute-rgt-neg-in_binary64
348×cancel-sign-sub-inv_binary64
336×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013249
128231
263231
3188231
4737231
51819231
63082231
74827231
Stop Event
node limit
Counts
60 → 41
Calls
Call 1
Inputs
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 9/40 (pow.f64 x 2))
(-.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)))
(*.f64 -27/2800 (pow.f64 x 4))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 27/2800 (pow.f64 x 4)))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 27/2800 (pow.f64 x 4)))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 27/2800 (pow.f64 x 4)))
Outputs
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 x 9/40))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(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))
(fma.f64 x (*.f64 x 9/40) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 x (fma.f64 -27/2800 (pow.f64 x 3) (*.f64 x 9/40)))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(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))
(fma.f64 x (*.f64 x 9/40) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 x (fma.f64 -27/2800 (pow.f64 x 3) (*.f64 x 9/40)))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(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))
(fma.f64 x (*.f64 x 9/40) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 x (fma.f64 -27/2800 (pow.f64 x 3) (*.f64 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)))
(+.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(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))
(fma.f64 x (*.f64 x 9/40) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 x (fma.f64 -27/2800 (pow.f64 x 3) (*.f64 x 9/40)))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(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))
(fma.f64 x (*.f64 x 9/40) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 x (fma.f64 -27/2800 (pow.f64 x 3) (*.f64 x 9/40)))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(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))
(fma.f64 x (*.f64 x 9/40) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 x (fma.f64 -27/2800 (pow.f64 x 3) (*.f64 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)))
(+.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(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))
(fma.f64 x (*.f64 x 9/40) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 x (fma.f64 -27/2800 (pow.f64 x 3) (*.f64 x 9/40)))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(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))
(fma.f64 x (*.f64 x 9/40) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 x (fma.f64 -27/2800 (pow.f64 x 3) (*.f64 x 9/40)))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 27/2800 (pow.f64 x 4)))
(+.f64 (*.f64 9/40 (*.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))
(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))
(fma.f64 x (*.f64 x 9/40) (*.f64 -27/2800 (pow.f64 x 4)))
(*.f64 x (fma.f64 -27/2800 (pow.f64 x 3) (*.f64 x 9/40)))

prune43.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New55055
Fresh044
Picked011
Done000
Total55560
Error
0.0b
Counts
60 → 5
Alt Table
StatusErrorProgram
31.5b
(pow.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) -1)
31.5b
(/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (-.f64 x (tan.f64 x)) 1))
44.3b
(/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (+.f64 x (tan.f64 x))))
31.3b
(log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 27/2800 (pow.f64 x 4) 1/2))))
31.3b
(+.f64 -1/2 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800)))
Compiler

Compiled 1009 to 782 computations (22.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 x (*.f64 x 9/40) (*.f64 27/112000 (pow.f64 x 6)))
0.1b
(fma.f64 27/2800 (pow.f64 x 4) 1/2)
0.2b
(*.f64 x 9/40)
17.3b
(-.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 27/2800 (pow.f64 x 4) 1/2))

prune118.0ms (1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1300130
Fresh033
Picked011
Done011
Total1305135
Error
0.0b
Counts
135 → 5
Alt Table
StatusErrorProgram
31.5b
(pow.f64 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))) -1)
31.5b
(/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (-.f64 x (tan.f64 x)) 1))
44.3b
(/.f64 (-.f64 x (sin.f64 x)) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 x) 2)) (+.f64 x (tan.f64 x))))
31.3b
(log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 27/2800 (pow.f64 x 4) 1/2))))
31.3b
(+.f64 -1/2 (fma.f64 x (*.f64 x 9/40) (*.f64 (pow.f64 x 4) -27/2800)))
Compiler

Compiled 3669 to 2977 computations (18.9% saved)

regimes138.0ms (1.2%)

Accuracy

Total 0.0b remaining (22.6%)

Threshold costs 0.0b (22.6%)

Counts
56 → 3
Compiler

Compiled 959 to 469 computations (51.1% saved)

bsearch54.0ms (0.5%)

Algorithm
binary-search
Calls

2 calls:

29.0ms
x
24.0ms
x
Steps
ItersPointRange
0.088
∈ [
0.05253194327791219
,
237523573.0620649
]
-0.09
∈ [
-0.16606413760211539
,
-1.6430811566180966e-10
]
Compiler

Compiled 2 to 1 computations (50% saved)

simplify4.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03795
15595
26895
37495
47695
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x -3242591731706757/36028797018963968) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 x 1 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))) (if (<=.f64 x 3170534137668829/36028797018963968) (fma.f64 (pow.f64 x 4) -27/2800 (fma.f64 9/40 (*.f64 x x) (fma.f64 27/112000 (pow.f64 x 6) -1/2))) (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (-.f64 x (tan.f64 x)) 1))))
Outputs
(if (<=.f64 x -3242591731706757/36028797018963968) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 x 1 (neg.f64 (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (cos.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x))))) (if (<=.f64 x 3170534137668829/36028797018963968) (fma.f64 (pow.f64 x 4) -27/2800 (fma.f64 9/40 (*.f64 x x) (fma.f64 27/112000 (pow.f64 x 6) -1/2))) (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (-.f64 x (tan.f64 x)) 1))))
(if (<=.f64 x -3242591731706757/36028797018963968) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 x 1 (*.f64 (/.f64 -1 (cos.f64 x)) (sin.f64 x))) (fma.f64 (/.f64 -1 (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))))) (if (<=.f64 x 3170534137668829/36028797018963968) (fma.f64 (pow.f64 x 4) -27/2800 (fma.f64 9/40 (*.f64 x x) (fma.f64 27/112000 (pow.f64 x 6) -1/2))) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -3242591731706757/36028797018963968) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 (fma.f64 x 1 (*.f64 (sin.f64 x) (/.f64 -1 (cos.f64 x)))) (fma.f64 (/.f64 -1 (cos.f64 x)) (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)))))) (if (<=.f64 x 3170534137668829/36028797018963968) (fma.f64 (pow.f64 x 4) -27/2800 (fma.f64 9/40 (*.f64 x x) (fma.f64 27/112000 (pow.f64 x 6) -1/2))) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))

end117.0ms (1%)

Stop Event
fuel
Compiler

Compiled 204 to 129 computations (36.8% saved)

Profiling

Loading profile data...