Details

Time bar (total: 2.3s)

analyze4.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.1s (48%)

Results
438.0ms2103×body512valid
396.0ms4702×body128valid
142.0ms996×body256valid
123.0ms455×body1024valid
Compiler

Compiled 26 to 22 computations (15.4% saved)

preprocess20.0ms (0.9%)

Algorithm
2×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
13×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11616
22116
32916
43916
55716
69416
712716
817016
920616
1023216
1123416
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Outputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify9.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
13×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11616
22116
32916
43916
55716
69416
712716
817016
920616
1023216
1123416
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Outputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
14.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶14.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 47 to 39 computations (17% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 x 1))
✓0.0b
(/.f64 1 (-.f64 x 1))
✓1.3b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

series8.0ms (0.3%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
1.0ms
x
@inf
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
1.0ms
x
@0
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
1.0ms
x
@-inf
(/.f64 1 (-.f64 x 1))
1.0ms
x
@-inf
(/.f64 1 (+.f64 x 1))

rewrite69.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
867×prod-diff_binary64
162×expm1-udef_binary64
162×log1p-udef_binary64
130×egg-rr
101×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
119230
2296830
Stop Event
1×node limit
Counts
3 → 180
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
(/.f64 1 (-.f64 x 1))
(/.f64 1 (+.f64 x 1))
Outputs
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simplify32.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
429×associate-*l*_binary64
355×fma-neg_binary64
346×associate-/r*_binary64
286×cancel-sign-sub-inv_binary64
218×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
065575
1198543
2594540
31925537
Stop Event
1×node limit
Counts
216 → 221
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 2 (pow.f64 x 2)))
(+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 2 (*.f64 2 (pow.f64 x 2))))
(+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2)))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
-1
(neg.f64 (+.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) x)))
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 x (pow.f64 x 3)))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))))
1
(-.f64 1 x)
(-.f64 (+.f64 1 (pow.f64 x 2)) x)
(-.f64 (+.f64 1 (pow.f64 x 2)) (+.f64 x (pow.f64 x 3)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
Outputs
2
(+.f64 2 (*.f64 2 (pow.f64 x 2)))
(+.f64 2 (*.f64 2 (*.f64 x x)))
(fma.f64 2 (*.f64 x x) 2)
(*.f64 2 (fma.f64 x x 1))
(+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 2 (*.f64 2 (pow.f64 x 2))))
(fma.f64 2 (pow.f64 x 4) (+.f64 2 (*.f64 2 (*.f64 x x))))
(fma.f64 2 (pow.f64 x 4) (fma.f64 2 (*.f64 x x) 2))
(*.f64 2 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(*.f64 2 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2)))))
(fma.f64 2 (pow.f64 x 4) (+.f64 2 (*.f64 2 (+.f64 (pow.f64 x 6) (*.f64 x x)))))
(fma.f64 2 (pow.f64 x 4) (fma.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 6)) 2))
(fma.f64 2 (pow.f64 x 4) (fma.f64 2 (fma.f64 x x (pow.f64 x 6)) 2))
(fma.f64 2 (fma.f64 x x (pow.f64 x 6)) (fma.f64 2 (pow.f64 x 4) 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 6))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8))))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8)))))
(-.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))) (/.f64 2 (pow.f64 x 8)))
(+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 8))))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 6))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8))))))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8)))))
(-.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))) (/.f64 2 (pow.f64 x 8)))
(+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 8))))
-1
(neg.f64 (+.f64 1 x))
(+.f64 -1 (neg.f64 x))
(-.f64 -1 x)
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) x)))
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 x x))))
(-.f64 -1 (fma.f64 x x x))
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 x (pow.f64 x 3)))))
(+.f64 -1 (neg.f64 (+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (fma.f64 x x x) (pow.f64 x 3)))
(-.f64 -1 (*.f64 x (+.f64 x (fma.f64 x x 1))))
(*.f64 (fma.f64 x x 1) (-.f64 -1 x))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))))
1
(-.f64 1 x)
(-.f64 (+.f64 1 (pow.f64 x 2)) x)
(+.f64 1 (-.f64 (*.f64 x x) x))
(-.f64 (fma.f64 x x 1) x)
(-.f64 (+.f64 1 (pow.f64 x 2)) (+.f64 x (pow.f64 x 3)))
(+.f64 1 (-.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3))))
(-.f64 (fma.f64 x x 1) (+.f64 x (pow.f64 x 3)))
(fma.f64 x (-.f64 x (*.f64 x x)) (-.f64 1 x))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))))

prune181.0ms (7.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2192221
Fresh000
Picked011
Done000
Total2193222
Error
0.3b
Counts
222 → 3
Alt Table
StatusErrorProgram
45.4b
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
✓14.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
▶32.9b
(+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 8))))
Compiler

Compiled 5792 to 4681 computations (19.2% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 -2 (pow.f64 x 4))
✓0.2b
(/.f64 -2 (pow.f64 x 8))
✓0.4b
(/.f64 -2 (*.f64 x x))
✓0.6b
(/.f64 -2 (pow.f64 x 6))

series11.0ms (0.5%)

Counts
4 → 12
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 -2 (pow.f64 x 6))
1.0ms
x
@-inf
(/.f64 -2 (pow.f64 x 8))
1.0ms
x
@0
(/.f64 -2 (pow.f64 x 8))
1.0ms
x
@-inf
(/.f64 -2 (pow.f64 x 6))
1.0ms
x
@inf
(/.f64 -2 (pow.f64 x 8))

rewrite50.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
231×expm1-udef_binary64
231×log1p-udef_binary64
202×log-pow_binary64
187×log-div_binary64
145×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01428
131528
2358228
Stop Event
1×node limit
Counts
4 → 89
Calls
Call 1
Inputs
(/.f64 -2 (pow.f64 x 6))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 8))
(/.f64 -2 (pow.f64 x 4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (pow.f64 x -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (pow.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 -2) (*.f64 x x)) (cbrt.f64 (/.f64 4 (pow.f64 x 12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 12))) (/.f64 (cbrt.f64 -2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (neg.f64 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -2) (pow.f64 x 3)) (/.f64 (sqrt.f64 -2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -6) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x -6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 -2) (*.f64 x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) (pow.f64 x 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x -6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x -6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -6))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 -2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -2 (pow.f64 x 8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 x -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (pow.f64 x 8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2 (pow.f64 x 8))) (cbrt.f64 (/.f64 4 (pow.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 16))) (cbrt.f64 (/.f64 -2 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -2) (pow.f64 x 4)) (/.f64 (sqrt.f64 -2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (neg.f64 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -8) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (pow.f64 x 8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2 (pow.f64 x 8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2 (pow.f64 x 8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) (pow.f64 x 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 8) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2 (pow.f64 x 8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -2 (pow.f64 x 8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2 (pow.f64 x 8))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -4))) (cbrt.f64 (/.f64 4 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 8))) (cbrt.f64 (*.f64 -2 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -2) (*.f64 x x)) (/.f64 (sqrt.f64 -2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (neg.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) (*.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -4))))))))

simplify58.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
607×sqr-pow_binary64
434×unswap-sqr_binary64
354×cube-prod_binary64
335×associate-/l/_binary64
271×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11184
22084
33584
47584
520984
675484
7196284
8212884
9231284
10252084
11281184
12320284
13368084
14424184
15492584
Stop Event
1×node limit
Counts
101 → 91
Calls
Call 1
Inputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
Outputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)

prune79.0ms (3.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New89291
Fresh011
Picked101
Done011
Total90494
Error
0b
Counts
94 → 4
Alt Table
StatusErrorProgram
45.4b
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
✓14.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
▶32.6b
(+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x -2))) (/.f64 -2 (pow.f64 x 8))))
32.7b
(+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x)) (/.f64 -2 (pow.f64 x 8))))
Compiler

Compiled 2522 to 1971 computations (21.8% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x -2)))
0.2b
(/.f64 -2 (pow.f64 x 4))
0.2b
(/.f64 -2 (pow.f64 x 8))
0.6b
(/.f64 -2 (pow.f64 x 6))

series5.0ms (0.2%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@0
(+.f64 (/.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x -2)))
1.0ms
x
@inf
(+.f64 (/.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x -2)))
1.0ms
x
@-inf
(+.f64 (/.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x -2)))

rewrite43.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
435×log-prod_binary64
275×fma-def_binary64
169×expm1-udef_binary64
169×log1p-udef_binary64
167×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0916
120713
2263113
Stop Event
1×node limit
Counts
1 → 58
Calls
Call 1
Inputs
(+.f64 (/.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x -2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 4 (pow.f64 x 8)) (*.f64 -2 (-.f64 (pow.f64 x -4) (pow.f64 x -2)))) (/.f64 (*.f64 4 (pow.f64 x -4)) (*.f64 -2 (-.f64 (pow.f64 x -4) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (+.f64 (pow.f64 x -4) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))) (pow.f64 (cbrt.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))) 2) (cbrt.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))) (sqrt.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -8 (pow.f64 (pow.f64 x -2) 3) (*.f64 -8 (pow.f64 (pow.f64 x -4) 3))) (/.f64 1 (fma.f64 (*.f64 -2 (pow.f64 x -2)) (-.f64 (*.f64 -2 (pow.f64 x -2)) (*.f64 -2 (pow.f64 x -4))) (/.f64 4 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 4 (pow.f64 x 8)) (*.f64 4 (pow.f64 x -4))) (/.f64 1 (*.f64 -2 (-.f64 (pow.f64 x -4) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 -2 (pow.f64 x -2)) (-.f64 (*.f64 -2 (pow.f64 x -2)) (*.f64 -2 (pow.f64 x -4))) (/.f64 4 (pow.f64 x 8))) (fma.f64 -8 (pow.f64 (pow.f64 x -2) 3) (*.f64 -8 (pow.f64 (pow.f64 x -4) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 -2 (-.f64 (pow.f64 x -4) (pow.f64 x -2))) (-.f64 (/.f64 4 (pow.f64 x 8)) (*.f64 4 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -8 (pow.f64 (pow.f64 x -2) 3) (*.f64 -8 (pow.f64 (pow.f64 x -4) 3))) (fma.f64 (*.f64 -2 (pow.f64 x -2)) (-.f64 (*.f64 -2 (pow.f64 x -2)) (*.f64 -2 (pow.f64 x -4))) (/.f64 4 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -8 (pow.f64 (pow.f64 x -2) 3) (*.f64 -8 (pow.f64 (pow.f64 x -4) 3))) (fma.f64 4 (pow.f64 x -4) (-.f64 (/.f64 4 (pow.f64 x 8)) (*.f64 -2 (*.f64 (pow.f64 x -4) (*.f64 -2 (pow.f64 x -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 (pow.f64 x 8)) (*.f64 4 (pow.f64 x -4))) (*.f64 -2 (-.f64 (pow.f64 x -4) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -8 (pow.f64 (pow.f64 x -2) 3) (*.f64 -8 (pow.f64 (pow.f64 x -4) 3)))) (neg.f64 (fma.f64 (*.f64 -2 (pow.f64 x -2)) (-.f64 (*.f64 -2 (pow.f64 x -2)) (*.f64 -2 (pow.f64 x -4))) (/.f64 4 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 4 (pow.f64 x 8)) (*.f64 4 (pow.f64 x -4)))) (neg.f64 (*.f64 -2 (-.f64 (pow.f64 x -4) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 4 (pow.f64 x -4)) (/.f64 4 (pow.f64 x 8))) (-.f64 (*.f64 -2 (pow.f64 x -2)) (*.f64 -2 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 -2 (pow.f64 x -2)) (-.f64 (*.f64 -2 (pow.f64 x -2)) (*.f64 -2 (pow.f64 x -4))) (/.f64 4 (pow.f64 x 8))) (fma.f64 -8 (pow.f64 (pow.f64 x -2) 3) (*.f64 -8 (pow.f64 (pow.f64 x -4) 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -2 (-.f64 (pow.f64 x -4) (pow.f64 x -2))) (-.f64 (/.f64 4 (pow.f64 x 8)) (*.f64 4 (pow.f64 x -4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -4)))) (pow.f64 (exp.f64 -2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -4)) (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -4)))) (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -2)))) (pow.f64 (exp.f64 -2) (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)) (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -2)))) (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (pow.f64 x -2) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (pow.f64 x -4) (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (pow.f64 x -4)) 1 (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -2) -2 (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (pow.f64 x -2)) 1 (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2 (pow.f64 x -4)) (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2 (pow.f64 x -2)) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (*.f64 4 (pow.f64 x -4))) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 x -4))) (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -4))) (cbrt.f64 (/.f64 4 (pow.f64 x 8))) (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 8))) (cbrt.f64 (*.f64 -2 (pow.f64 x -4))) (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -4)) (*.f64 (cbrt.f64 (pow.f64 x -2)) -2) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2 (pow.f64 x -2))) (sqrt.f64 (*.f64 -2 (pow.f64 x -2))) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -2) (pow.f64 x -2)) (*.f64 (sqrt.f64 -2) (pow.f64 x -2)) (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (neg.f64 (pow.f64 x 4))) (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -4) -2 (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) -2) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (cbrt.f64 (pow.f64 x -4))) (cbrt.f64 (pow.f64 x -2)) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (/.f64 1 x)) (/.f64 1 x) (*.f64 -2 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))))))))

simplify33.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
605×times-frac_binary64
577×fma-neg_binary64
458×associate-/r*_binary64
341×associate-/l/_binary64
280×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016183
139165
293165
3239165
4936165
54916165
Stop Event
1×node limit
Counts
70 → 63
Calls
Call 1
Inputs
(/.f64 -2 (pow.f64 x 4))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
Outputs
(/.f64 -2 (pow.f64 x 4))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))

prune124.0ms (5.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1290129
Fresh022
Picked011
Done011
Total1294133
Error
0b
Counts
133 → 4
Alt Table
StatusErrorProgram
45.4b
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
✓14.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
✓32.6b
(+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x -2))) (/.f64 -2 (pow.f64 x 8))))
▶32.7b
(+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x)) (/.f64 -2 (pow.f64 x 8))))
Compiler

Compiled 3684 to 3067 computations (16.7% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 -2 x) x)
0.2b
(/.f64 -2 (pow.f64 x 4))
0.2b
(/.f64 -2 (pow.f64 x 8))
0.6b
(/.f64 -2 (pow.f64 x 6))

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (/.f64 -2 x) x)
1.0ms
x
@-inf
(/.f64 (/.f64 -2 x) x)
1.0ms
x
@inf
(/.f64 (/.f64 -2 x) x)

rewrite33.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
581×pow1_binary64
545×add-log-exp_binary64
545×log1p-expm1-u_binary64
545×expm1-log1p-u_binary64
535×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11127
214777
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(/.f64 (/.f64 -2 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 2) (cbrt.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 -2 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 x)) (*.f64 (sqrt.f64 (/.f64 -2 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 4 (*.f64 x x))) 1) (/.f64 (cbrt.f64 (/.f64 -2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 x)) 1) (/.f64 (sqrt.f64 (/.f64 -2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -2 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 4 (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -2 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -2 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 4 (*.f64 x x))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 -2 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -2 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -2 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2 (*.f64 x x))))))))

simplify59.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
607×sqr-pow_binary64
434×unswap-sqr_binary64
354×cube-prod_binary64
335×associate-/l/_binary64
271×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11184
22084
33584
47584
520984
675484
7196284
8212884
9231284
10252084
11281184
12320284
13368084
14424184
15492584
Stop Event
1×node limit
Counts
48 → 38
Calls
Call 1
Inputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
Outputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)

prune86.0ms (3.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1040104
Fresh011
Picked011
Done022
Total1044108
Error
0b
Counts
108 → 4
Alt Table
StatusErrorProgram
45.4b
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
✓14.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
✓32.6b
(+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x -2))) (/.f64 -2 (pow.f64 x 8))))
✓32.7b
(+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x)) (/.f64 -2 (pow.f64 x 8))))
Compiler

Compiled 2865 to 2256 computations (21.3% saved)

regimes127.0ms (5.5%)

Accuracy

Total 0.0b remaining (65.2%)

Threshold costs 0.0b (65.2%)

Counts
47 → 3
Compiler

Compiled 1736 to 1414 computations (18.5% saved)

bsearch6.0ms (0.2%)

Algorithm
2×binary-search
Calls

2 calls:

4.0ms
x
2.0ms
x
Steps
ItersPointRange
100000.0
∈ [
35.91141906584644
, 
156381.43320563686
]
-1e+15
∈ [
-3.6690131225467195e+21
, 
-48804336951768.58
]
Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
25×cancel-sign-sub-inv_binary64
22×distribute-rgt-neg-in_binary64
14×distribute-lft-neg-in_binary64
14×distribute-lft-neg-out_binary64
14×neg-sub0_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032105
148100
26498
37498
49598
511398
612998
714498
816298
917798
1018598
1119998
1221298
1321698
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -1000000000000000) (+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (fma.f64 (pow.f64 x -4) -2 (*.f64 -2 (pow.f64 x -2))) (/.f64 -2 (pow.f64 x 8)))) (if (<=.f64 x 100000) (/.f64 (-.f64 (+.f64 (neg.f64 x) 1) (*.f64 (+.f64 1 x) -1)) (*.f64 (+.f64 1 x) (+.f64 (neg.f64 x) 1))) (+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (fma.f64 (pow.f64 x -4) -2 (*.f64 -2 (pow.f64 x -2))) (/.f64 -2 (pow.f64 x 8))))))
Outputs
(if (<=.f64 x -1000000000000000) (+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (fma.f64 (pow.f64 x -4) -2 (*.f64 -2 (pow.f64 x -2))) (/.f64 -2 (pow.f64 x 8)))) (if (<=.f64 x 100000) (/.f64 (-.f64 (+.f64 (neg.f64 x) 1) (*.f64 (+.f64 1 x) -1)) (*.f64 (+.f64 1 x) (+.f64 (neg.f64 x) 1))) (+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (fma.f64 (pow.f64 x -4) -2 (*.f64 -2 (pow.f64 x -2))) (/.f64 -2 (pow.f64 x 8))))))
(if (<=.f64 x -1000000000000000) (+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (fma.f64 (pow.f64 x -4) -2 (*.f64 -2 (pow.f64 x -2))) (/.f64 -2 (pow.f64 x 8)))) (if (<=.f64 x 100000) (/.f64 (-.f64 (+.f64 (neg.f64 x) 1) (*.f64 (+.f64 x 1) -1)) (*.f64 (+.f64 (neg.f64 x) 1) (+.f64 x 1))) (+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (fma.f64 (pow.f64 x -4) -2 (*.f64 -2 (pow.f64 x -2))) (/.f64 -2 (pow.f64 x 8))))))
(if (<=.f64 x -1000000000000000) (+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (fma.f64 (pow.f64 x -4) -2 (*.f64 -2 (pow.f64 x -2))) (/.f64 -2 (pow.f64 x 8)))) (if (<=.f64 x 100000) (/.f64 (-.f64 (-.f64 1 x) (+.f64 (neg.f64 x) -1)) (*.f64 (-.f64 1 x) (+.f64 x 1))) (+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (fma.f64 (pow.f64 x -4) -2 (*.f64 -2 (pow.f64 x -2))) (/.f64 -2 (pow.f64 x 8))))))
(if (<=.f64 x -1000000000000000) (+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (fma.f64 (pow.f64 x -4) -2 (*.f64 -2 (pow.f64 x -2))) (/.f64 -2 (pow.f64 x 8)))) (if (<=.f64 x 100000) (/.f64 (+.f64 (-.f64 1 x) (+.f64 x 1)) (*.f64 (-.f64 1 x) (+.f64 x 1))) (+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (fma.f64 (pow.f64 x -4) -2 (*.f64 -2 (pow.f64 x -2))) (/.f64 -2 (pow.f64 x 8))))))

end111.0ms (4.8%)

Stop Event
1×fuel
Compiler

Compiled 220 to 177 computations (19.5% saved)

Profiling

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