Details

Time bar (total: 5.6s)

analyze4.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.7s (30.1%)

Results
993.0ms5730×body256valid
535.0ms2104×body512valid
159.0ms422×body1024valid
Bogosity

preprocess26.0ms (0.5%)

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
712816
817416
921016
1023616
1123816
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 13 to 11 computations (15.4% saved)

simplify14.0ms (0.2%)

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
712816
817416
921016
1023616
1123816
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)))

eval1.0ms (0%)

Compiler

Compiled 23 to 19 computations (17.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
12.2b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶12.2b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 x 1))
✓0.0b
(/.f64 1 (-.f64 x 1))
✓2.2b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 30 to 23 computations (23.3% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite128.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
867×prod-diff_binary64
424×log-prod_binary64
364×fma-def_binary64
239×pow2_binary64
225×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
119230
2298530
Stop Event
1×node limit
Counts
3 → 212
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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simplify69.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
610×fma-neg_binary64
490×associate-/r*_binary64
455×associate-*l*_binary64
421×times-frac_binary64
357×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060581
1177552
2560540
32049537
Stop Event
1×node limit
Counts
248 → 254
Calls
Call 1
Inputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(/.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 6))) (+.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.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 6))) (+.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.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 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
Outputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(fma.f64 2 (*.f64 x x) 2)
(*.f64 2 (fma.f64 x x 1))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4)))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 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 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 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 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 8))))
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.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 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 8))))
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -1))
(fma.f64 -1 (fma.f64 x x x) -1)
(-.f64 -1 (fma.f64 x x x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (*.f64 -1 (+.f64 (*.f64 x x) x))) -1)
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (fma.f64 x x x) -1))
(-.f64 (-.f64 -1 (fma.f64 x x x)) (pow.f64 x 3))
(*.f64 (fma.f64 x x 1) (-.f64 -1 x))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.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 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.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 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 x (*.f64 x x)))
(+.f64 (*.f64 x x) (-.f64 1 x))
(-.f64 (fma.f64 x x 1) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x))))
(-.f64 (+.f64 (*.f64 x x) (-.f64 1 x)) (pow.f64 x 3))
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3))
(/.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 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.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 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.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 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.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 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))))

eval192.0ms (3.4%)

Compiler

Compiled 5841 to 4737 computations (18.9% saved)

prune40.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2468254
Fresh000
Picked011
Done000
Total2469255
Error
0.2b
Counts
255 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
25.7b
2
▶12.0b
(/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1))
38.6b
(/.f64 -2 (pow.f64 x 2))
✓12.2b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
▶12.0b
(/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (fma.f64 x x -1))
▶25.6b
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x))
▶25.8b
(-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))
12.0b
(/.f64 (-.f64 (+.f64 (neg.f64 x) 1) (*.f64 (+.f64 1 x) -1)) (*.f64 (+.f64 1 x) (+.f64 (neg.f64 x) 1)))
▶38.6b
(/.f64 -2 (*.f64 x x))
Compiler

Compiled 176 to 134 computations (23.9% saved)

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 -1 (+.f64 1 x))
✓0.0b
(/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (fma.f64 x x -1))
✓1.9b
(+.f64 x (-.f64 -1 (+.f64 1 x)))
Compiler

Compiled 35 to 24 computations (31.4% saved)

series3.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite95.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
770×prod-diff_binary64
464×log-prod_binary64
391×fma-def_binary64
274×pow2_binary64
195×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
120825
2308425
Stop Event
1×node limit
Counts
3 → 158
Calls
Call 1
Inputs
(+.f64 x (-.f64 -1 (+.f64 1 x)))
(/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (fma.f64 x x -1))
(-.f64 -1 (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x -1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (-.f64 -2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x -2) x)) (/.f64 (pow.f64 (-.f64 -2 x) 2) (+.f64 (-.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 x -1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x -2) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 x -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (-.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 -2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 2) (cbrt.f64 (+.f64 x (-.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (sqrt.f64 (+.f64 x (-.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (/.f64 1 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (/.f64 1 (+.f64 (-.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 x -2) x) (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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(+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) -1)))))

simplify92.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
645×fma-def_binary64
535×distribute-rgt-out_binary64
413×unswap-sqr_binary64
378×distribute-neg-frac_binary64
330×times-frac_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038290
1108274
2331261
31183258
45342255
Stop Event
1×node limit
Counts
194 → 178
Calls
Call 1
Inputs
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(/.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 6))) (+.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.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 6))) (+.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
-2
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
Outputs
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(fma.f64 2 (*.f64 x x) 2)
(*.f64 2 (fma.f64 x x 1))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4)))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 2))
(*.f64 2 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(fma.f64 2 (fma.f64 x x (pow.f64 x 4)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 2)))
(fma.f64 2 (fma.f64 x x (pow.f64 x 6)) (fma.f64 2 (pow.f64 x 4) 2))
(fma.f64 2 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))) 2)
(*.f64 (fma.f64 x x 1) (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)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(+.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))))
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.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 6)) (-.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.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 -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 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(+.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))))
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.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 6)) (-.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.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)))))
-2
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 -2 (*.f64 x x))
Compiler

Compiled 11 to 5 computations (54.5% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
491×pow1_binary64
480×add-sqr-sqrt_binary64
459×add-log-exp_binary64
459×log1p-expm1-u_binary64
459×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11087
212997
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(/.f64 -2 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 (*.f64 x x) -1/2) -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 cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))))))

simplify164.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
1140×associate-/r*_binary64
1082×sqr-pow_binary64
560×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11184
22084
33584
47584
522484
683484
7204384
8220984
9239384
10260184
11289884
12329184
13377284
14434084
15502884
16586384
17625584
18654384
19681984
20689184
21692784
Stop Event
1×node limit
Counts
33 → 23
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 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 23 to 17 computations (26.1% saved)

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 x 1))
Compiler

Compiled 24 to 18 computations (25% saved)

localize64.0ms (1.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1))
0.0b
(-.f64 -1 (+.f64 1 x))
✓0.0b
(/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x))
1.9b
(+.f64 x (-.f64 -1 (+.f64 1 x)))
Compiler

Compiled 48 to 35 computations (27.1% saved)

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite101.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
596×log-prod_binary64
495×fma-def_binary64
291×log-div_binary64
277×fma-neg_binary64
223×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01032
124232
2397227
Stop Event
1×node limit
Counts
2 → 91
Calls
Call 1
Inputs
(/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 -2 x)) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) 2) (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2)) (*.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (*.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x (-.f64 -2 x))) (/.f64 1 (fma.f64 x -1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x (-.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (+.f64 x (-.f64 -2 x)) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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x)) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))) 1))))))

simplify65.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
843×times-frac_binary64
488×associate-*l*_binary64
473×associate-/r*_binary64
448×fma-neg_binary64
374×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054407
1165387
2510382
31788375
Stop Event
1×node limit
Counts
115 → 120
Calls
Call 1
Inputs
-2
(-.f64 (*.f64 2 x) 2)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2)
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(/.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 6))) (+.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.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 6))) (+.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
Outputs
-2
(-.f64 (*.f64 2 x) 2)
(fma.f64 2 x -2)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 2)
(+.f64 (fma.f64 2 x (*.f64 -2 (*.f64 x x))) -2)
(fma.f64 2 x (fma.f64 -2 (*.f64 x x) -2))
(fma.f64 2 x (*.f64 (fma.f64 x x 1) -2))
(fma.f64 x (+.f64 2 (*.f64 -2 x)) -2)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2)
(+.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (*.f64 -2 (*.f64 x x)))) -2)
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (fma.f64 -2 (*.f64 x x) -2)))
(fma.f64 2 (+.f64 x (pow.f64 x 3)) (*.f64 (fma.f64 x x 1) -2))
(*.f64 (fma.f64 x x 1) (fma.f64 2 x -2))
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(fma.f64 2 (*.f64 x x) 2)
(*.f64 2 (fma.f64 x x 1))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4)))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 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 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 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))
(/.f64 (/.f64 -2 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 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(-.f64 (-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6)))
(+.f64 (-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6))) (/.f64 -2 (pow.f64 x 8)))
(-.f64 (-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4))) (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 8))))
(+.f64 (-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4))) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8))))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 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 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(-.f64 (-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6)))
(+.f64 (-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6))) (/.f64 -2 (pow.f64 x 8)))
(-.f64 (-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4))) (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 8))))
(+.f64 (-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4))) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8))))

eval311.0ms (5.5%)

Compiler

Compiled 8873 to 6496 computations (26.8% saved)

prune108.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New5296535
Fresh303
Picked101
Done415
Total5377544
Error
0b
Counts
544 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶12.2b
(/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1))) (+.f64 x -1))
▶38.4b
(/.f64 (/.f64 -2 x) x)
25.7b
2
▶0.0b
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
▶38.4b
(*.f64 (pow.f64 x -2) -2)
▶12.0b
(*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)) (/.f64 -1 (-.f64 1 x)))
✓38.6b
(/.f64 -2 (*.f64 x x))
Compiler

Compiled 124 to 94 computations (24.2% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 -2 (+.f64 1 x))
✓0.0b
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
Compiler

Compiled 25 to 19 computations (24% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite71.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
618×unpow-prod-down_binary64
439×log-prod_binary64
278×pow-prod-down_binary64
249×pow2_binary64
196×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0920
120220
2282615
Stop Event
1×node limit
Counts
2 → 123
Calls
Call 1
Inputs
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
(/.f64 -2 (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -2 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 (/.f64 (+.f64 x -1) (/.f64 1 (+.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 1 x)) (/.f64 -1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2) (*.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))) 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1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (+.f64 1 x) -1/2) (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x -1) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (/.f64 -2 (fma.f64 x x -1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 x x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -2 (+.f64 1 x)) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -2 (fma.f64 x x -1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (+.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -2 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2) (cbrt.f64 (/.f64 -2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (sqrt.f64 (/.f64 -2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 (/.f64 1 (+.f64 -1 (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 -2 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -2 (+.f64 1 (pow.f64 x 3))) 1) (fma.f64 x (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -2 (-.f64 1 (*.f64 x x))) 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -2 (+.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -2 (+.f64 1 x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 4 (pow.f64 (+.f64 1 x) 2)) -2) 1/3) (cbrt.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 -2 (+.f64 1 x)) (cbrt.f64 (/.f64 -2 (+.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 4 (pow.f64 (+.f64 1 x) 2)) (sqrt.f64 (/.f64 -2 (+.f64 1 x)))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 -2) 3) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x)))) 2) 3) (cbrt.f64 (/.f64 -2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 -2) 2) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 x) -1/2)) 2) -1) (cbrt.f64 (/.f64 -2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (pow.f64 (+.f64 1 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2 (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 x) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 1 x) -1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (+.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2 (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 -3) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 -3) (log1p.f64 x)) 1))))))

simplify65.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
843×times-frac_binary64
484×associate-*l*_binary64
468×associate-/r*_binary64
448×fma-neg_binary64
374×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054407
1165387
2510382
31785375
Stop Event
1×node limit
Counts
147 → 152
Calls
Call 1
Inputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(/.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 6))) (+.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.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 6))) (+.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
-2
(-.f64 (*.f64 2 x) 2)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2)
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
Outputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(fma.f64 2 (*.f64 x x) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4)))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 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 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 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 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.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 (pow.f64 x 6)) (/.f64 -2 (*.f64 x x))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))))
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.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 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.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 (pow.f64 x 6)) (/.f64 -2 (*.f64 x x))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))))
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8)))))
-2
(-.f64 (*.f64 2 x) 2)
(fma.f64 2 x -2)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 2)
(+.f64 (fma.f64 2 x (*.f64 (*.f64 x x) -2)) -2)
(fma.f64 2 x (fma.f64 (*.f64 x x) -2 -2))
(fma.f64 x (+.f64 2 (*.f64 x -2)) -2)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2)
(+.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (*.f64 (*.f64 x x) -2))) -2)
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (fma.f64 (*.f64 x x) -2 -2)))
(+.f64 -2 (fma.f64 2 x (*.f64 (*.f64 x x) (fma.f64 2 x -2))))
(*.f64 (fma.f64 x x 1) (fma.f64 2 x -2))
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 2 (/.f64 2 x)))))
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 2 (/.f64 2 x)))))

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 -2 x) x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite78.0ms (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 → 35
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 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (*.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 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) 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 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (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 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (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 expm1.f64 (log1p.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 exp.f64 (log.f64 (/.f64 -2 (*.f64 x x))))))))

simplify178.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
1140×associate-/r*_binary64
1082×sqr-pow_binary64
560×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11184
22084
33584
47584
522484
683484
7204384
8220984
9239384
10260184
11289884
12329184
13377284
14434084
15502884
16586384
17625584
18654384
19681984
20689184
21692784
Stop Event
1×node limit
Counts
47 → 37
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 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))

localize40.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiled 48 to 34 computations (29.2% saved)

series7.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite132.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
883×prod-diff_binary64
450×fma-def_binary64
248×expm1-udef_binary64
248×log1p-udef_binary64
232×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01249
128648
2434448
Stop Event
1×node limit
Counts
4 → 174
Calls
Call 1
Inputs
(+.f64 x (-.f64 -2 x))
(*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)) (/.f64 -1 (-.f64 1 x)))
(/.f64 -1 (-.f64 1 x))
(/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x -2) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (-.f64 -2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x -2) x)) (/.f64 (pow.f64 (-.f64 -2 x) 2) (+.f64 (-.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 -2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (-.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 2) (cbrt.f64 (+.f64 x (-.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (sqrt.f64 (+.f64 x (-.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (/.f64 1 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (/.f64 1 (+.f64 (-.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 x -2) x) (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (+.f64 (pow.f64 (-.f64 -2 x) 2) (-.f64 (*.f64 x x) (*.f64 x (-.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (+.f64 (-.f64 x -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))) (neg.f64 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2))) (neg.f64 (+.f64 (-.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -2) 3) (pow.f64 x 3)) (fma.f64 (+.f64 x -2) (+.f64 x -2) (fma.f64 x x (*.f64 (+.f64 x -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x -2) (+.f64 x -2)) (*.f64 x x)) (+.f64 (+.f64 x -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 -2 x) 2) (*.f64 x x)) (-.f64 (-.f64 -2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (-.f64 -2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (-.f64 -2 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x -2) (+.f64 x 1)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 -2 x)) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) 2) (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (*.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x (-.f64 -2 x))) (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x (-.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (+.f64 x (-.f64 -2 x)) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 x (-.f64 -2 x)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (+.f64 x (-.f64 -2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 x (-.f64 -2 x))) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 x (-.f64 -2 x))) (log1p.f64 x)) 1))))))

simplify68.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
843×times-frac_binary64
733×fma-neg_binary64
553×associate-*l*_binary64
473×associate-/r*_binary64
377×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
067598
1205570
2639561
32248551
Stop Event
1×node limit
Counts
222 → 217
Calls
Call 1
Inputs
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(/.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 6))) (+.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.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 6))) (+.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
-2
(-.f64 (*.f64 2 x) 2)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2)
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
Outputs
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(fma.f64 2 (*.f64 x x) 2)
(*.f64 2 (fma.f64 x x 1))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4)))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 2))
(*.f64 2 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 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))
(/.f64 (/.f64 -2 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 (/.f64 -2 x) x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x)) (/.f64 2 (pow.f64 x 6)))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 6))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 (/.f64 -2 x) x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 8))))
(+.f64 (-.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x)) (/.f64 2 (pow.f64 x 6))) (/.f64 -2 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 8))))
(+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 -2 (pow.f64 x 8)))))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 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 (/.f64 -2 x) x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x)) (/.f64 2 (pow.f64 x 6)))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 6))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 (/.f64 -2 x) x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 8))))
(+.f64 (-.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x)) (/.f64 2 (pow.f64 x 6))) (/.f64 -2 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x)) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 8))))
(+.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 -2 (pow.f64 x 8)))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -1))
(fma.f64 -1 (fma.f64 x x x) -1)
(-.f64 -1 (fma.f64 x x x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (*.f64 -1 (+.f64 (*.f64 x x) x))) -1)
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (fma.f64 x x x) -1))
(-.f64 (-.f64 -1 (fma.f64 x x x)) (pow.f64 x 3))
(*.f64 (fma.f64 x x 1) (-.f64 -1 x))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(+.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 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.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 (/.f64 (/.f64 1 x) x) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(+.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 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.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 (/.f64 (/.f64 1 x) x) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
-2
(-.f64 (*.f64 2 x) 2)
(fma.f64 2 x -2)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 2)
(+.f64 (fma.f64 2 x (*.f64 -2 (*.f64 x x))) -2)
(fma.f64 2 x (fma.f64 -2 (*.f64 x x) -2))
(fma.f64 -2 (*.f64 x x) (fma.f64 2 x -2))
(fma.f64 x (+.f64 (*.f64 -2 x) 2) -2)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2)
(+.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (*.f64 -2 (*.f64 x x)))) -2)
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (fma.f64 -2 (*.f64 x x) -2)))
(+.f64 (fma.f64 2 x -2) (*.f64 (*.f64 x x) (fma.f64 2 x -2)))
(*.f64 (fma.f64 x x 1) (fma.f64 2 x -2))
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
(+.f64 (-.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 (pow.f64 x 4))) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
(+.f64 (-.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 (pow.f64 x 4))) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))

localize44.0ms (0.8%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1))) (+.f64 x -1))
✓0.0b
(/.f64 (+.f64 x -1) (+.f64 x 1))
✓2.2b
(-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1)))
Compiler

Compiled 58 to 42 computations (27.6% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite143.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
941×prod-diff_binary64
515×log-prod_binary64
338×fma-neg_binary64
319×fma-def_binary64
282×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01042
124840
2345740
Stop Event
1×node limit
Counts
3 → 261
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1)))
(/.f64 (+.f64 x -1) (+.f64 x 1))
(/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1))) (+.f64 x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 (+.f64 x -1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 -1 (/.f64 (+.f64 x -1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (/.f64 (+.f64 x -1) (+.f64 x 1))))) (cbrt.f64 (exp.f64 (+.f64 -1 (/.f64 (+.f64 x -1) (+.f64 x 1))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (/.f64 (+.f64 x -1) (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (/.f64 (+.f64 x -1) (+.f64 x 1)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (/.f64 (+.f64 x -1) (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (/.f64 (+.f64 x -1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 (+.f64 x -1) (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (-.f64 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1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 2) -1) (/.f64 1 (+.f64 1 (/.f64 (+.f64 x -1) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) 1) (-.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (-.f64 (+.f64 x -1) 1) x) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 (fma.f64 x x -1) (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 1) (-.f64 (-.f64 (+.f64 x -1) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 2) (+.f64 1 (/.f64 (+.f64 x -1) (+.f64 x 1)))) (+.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 (+.f64 x 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2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (-.f64 (+.f64 x -1) 1) x)) (neg.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 2) (+.f64 1 (/.f64 (+.f64 x -1) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 2) -1)) (neg.f64 (+.f64 1 (/.f64 (+.f64 x -1) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (fma.f64 x x -1) (pow.f64 (+.f64 x 1) 2)) (+.f64 x 1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (-.f64 (+.f64 x -1) 1) x) 1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (-.f64 (+.f64 x -1) 1) x) (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (-.f64 (+.f64 x -1) 1) x) (sqrt.f64 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(log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (-.f64 (log.f64 (+.f64 x -1)) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 (+.f64 x -1) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (/.f64 (+.f64 x -1) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 -1 (/.f64 (+.f64 x -1) (+.f64 x 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1) (/.f64 1 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1) (/.f64 1 (+.f64 x 1)) (neg.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1) (*.f64 (/.f64 1 (+.f64 x 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1) (*.f64 (/.f64 1 (+.f64 x 1)) 1) (neg.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> 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simplify69.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
843×times-frac_binary64
512×fma-neg_binary64
498×associate-*l*_binary64
471×associate-/r*_binary64
376×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
062546
1189522
2576516
31984507
Stop Event
1×node limit
Counts
297 → 304
Calls
Call 1
Inputs
-2
(-.f64 (*.f64 2 x) 2)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2)
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 2 x) 1)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 1)
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(/.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 6))) (+.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.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 6))) (+.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
Outputs
-2
(-.f64 (*.f64 2 x) 2)
(fma.f64 2 x -2)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 2)
(+.f64 (fma.f64 2 x (*.f64 -2 (*.f64 x x))) -2)
(fma.f64 2 x (fma.f64 -2 (*.f64 x x) -2))
(fma.f64 -2 (*.f64 x x) (fma.f64 2 x -2))
(fma.f64 x (+.f64 2 (*.f64 -2 x)) -2)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2)
(+.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (*.f64 -2 (*.f64 x x)))) -2)
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (fma.f64 -2 (*.f64 x x) -2)))
(fma.f64 2 (+.f64 x (pow.f64 x 3)) (*.f64 (fma.f64 x x 1) -2))
(*.f64 (fma.f64 x x 1) (fma.f64 2 x -2))
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3)))) (/.f64 2 (pow.f64 x 4)))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3)))) (/.f64 2 (pow.f64 x 4)))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 2 x (*.f64 -2 (*.f64 x x))) -1)
(fma.f64 2 x (fma.f64 -2 (*.f64 x x) -1))
(fma.f64 -2 (*.f64 x x) (fma.f64 2 x -1))
(fma.f64 x (+.f64 2 (*.f64 -2 x)) -1)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 1)
(+.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (*.f64 -2 (*.f64 x x)))) -1)
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (fma.f64 -2 (*.f64 x x) -1)))
(+.f64 (fma.f64 2 x (*.f64 (*.f64 x x) (fma.f64 2 x -2))) -1)
(+.f64 (*.f64 x (+.f64 2 (*.f64 x (fma.f64 2 x -2)))) -1)
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 x))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 -2 x)))
(-.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 2 x) -1))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 -2 x) (+.f64 1 (/.f64 -2 (pow.f64 x 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 x))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 -2 x)))
(-.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 2 x) -1))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 -2 x) (+.f64 1 (/.f64 -2 (pow.f64 x 3)))))
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(fma.f64 2 (*.f64 x x) 2)
(*.f64 2 (fma.f64 x x 1))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4)))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 2))
(*.f64 2 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 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 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 8))))
(+.f64 (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6))) (/.f64 -2 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.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 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 8))))
(+.f64 (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6))) (/.f64 -2 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 8))))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite46.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
452×pow1_binary64
442×add-sqr-sqrt_binary64
430×*-un-lft-identity_binary64
421×add-log-exp_binary64
420×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11067
211787
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 (pow.f64 x -2) -2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2 (pow.f64 x -2))) 1)))) (#(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) (/.f64 1 x)) 2)))) (#(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 cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))))))

simplify169.0ms (3%)

Algorithm
1×egg-herbie
Rules
1140×associate-/r*_binary64
1082×sqr-pow_binary64
560×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11184
22084
33584
47584
522484
683484
7204384
8220984
9239384
10260184
11289884
12329184
13377284
14434084
15502884
16586384
17625584
18654384
19681984
20689184
21692784
Stop Event
1×node limit
Counts
23 → 13
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 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))

eval366.0ms (6.5%)

Compiler

Compiled 16792 to 13122 computations (21.9% saved)

prune93.0ms (1.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New7203723
Fresh101
Picked011
Done235
Total7237730
Error
0b
Counts
730 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓38.4b
(/.f64 (/.f64 -2 x) x)
✓38.4b
(*.f64 (pow.f64 x -2) -2)
▶0.1b
(*.f64 (/.f64 2 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))
✓0.0b
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
25.7b
2
✓38.6b
(/.f64 -2 (*.f64 x x))
▶12.2b
(/.f64 (+.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1) (+.f64 x -1))
Compiler

Compiled 56 to 44 computations (21.4% saved)

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 31 to 24 computations (22.6% saved)

series3.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite78.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
477×log-prod_binary64
367×exp-prod_binary64
299×pow-prod-down_binary64
251×pow2_binary64
206×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
120927
2290627
Stop Event
1×node limit
Counts
3 → 148
Calls
Call 1
Inputs
(*.f64 (/.f64 2 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(/.f64 1 (-.f64 1 x))
(/.f64 2 (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (*.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (*.f64 (+.f64 1 x) (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (*.f64 (+.f64 1 x) (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (*.f64 (+.f64 1 x) (-.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (*.f64 (+.f64 1 x) (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (*.f64 (+.f64 1 x) (-.f64 1 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 (fma.f64 -1 x -1) (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (neg.f64 (-.f64 1 x)) (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 x))))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (cbrt.f64 (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 x) -1/2) (pow.f64 (-.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (cbrt.f64 (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 x) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 x) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log1p.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (neg.f64 (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log1p.f64 (neg.f64 x))))) (sqrt.f64 (neg.f64 (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 x) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log1p.f64 (neg.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (neg.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 (+.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (+.f64 1 x))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 1 x) 1/2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 1 x) 1/2) -2)) (cbrt.f64 (/.f64 2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 1 x) 1/2) -2)) (*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (+.f64 1 x))) (sqrt.f64 (/.f64 2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (+.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 2 (+.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log.f64 2) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1 x) 1/2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 x) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 1 x) 1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log.f64 2) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log.f64 2) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 1 x) 1/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 2) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 2) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 2) (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 2) (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 2) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 2) (log1p.f64 x)) 1) 1))))))

simplify52.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
595×times-frac_binary64
471×associate-/r*_binary64
467×associate-*l*_binary64
423×fma-neg_binary64
377×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
068591
1207553
2658547
32221540
Stop Event
1×node limit
Counts
184 → 190
Calls
Call 1
Inputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(/.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 6))) (+.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.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 6))) (+.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (pow.f64 x 2) x))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
2
(+.f64 2 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
Outputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(fma.f64 2 (*.f64 x x) 2)
(*.f64 2 (fma.f64 x x 1))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4)))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 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 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 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))
(/.f64 (/.f64 -2 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 (*.f64 x x)) (/.f64 -2 (pow.f64 x 4)))
(+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 -2 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 6)))
(-.f64 (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4)))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 -2 (pow.f64 x 6))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))))
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.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 6)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8)))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 -2 x) x) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 8)))))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 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 (*.f64 x x)) (/.f64 -2 (pow.f64 x 4)))
(+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 -2 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 6)))
(-.f64 (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4)))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 -2 (pow.f64 x 6))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))))
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.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 6)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8)))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 -2 x) x) (-.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 8)))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) x))
(+.f64 1 (+.f64 x (*.f64 x x)))
(+.f64 1 (fma.f64 x x x))
(+.f64 x (fma.f64 x x 1))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)))
(+.f64 1 (+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3))))
(+.f64 1 (+.f64 x (*.f64 x (fma.f64 x x x))))
(+.f64 1 (fma.f64 x (fma.f64 x x x) x))
(*.f64 (+.f64 x 1) (fma.f64 x x 1))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 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 (/.f64 -1 (*.f64 x x)) (/.f64 1 x)) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(neg.f64 (+.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 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 x)) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 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 (/.f64 -1 (*.f64 x x)) (/.f64 1 x)) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(neg.f64 (+.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 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 x)) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 x -2))
(fma.f64 x -2 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x)))
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 x -2))
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 2))
(fma.f64 (fma.f64 x x 1) 2 (*.f64 x -2))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 -2 (+.f64 x (pow.f64 x 3))))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 2))
(+.f64 (fma.f64 x -2 2) (*.f64 (*.f64 x x) (fma.f64 x -2 2)))
(*.f64 (fma.f64 x x 1) (fma.f64 x -2 2))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 4))) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 -2 x) x) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 -2 (pow.f64 x 4))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 4))) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 -2 x) x) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 -2 (pow.f64 x 4))))

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1) (+.f64 x -1))
0.0b
(/.f64 (+.f64 x -1) (+.f64 x 1))
✓2.2b
(+.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1)
Compiler

Compiled 39 to 29 computations (25.6% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite88.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
489×log-prod_binary64
327×prod-diff_binary64
310×pow-prod-down_binary64
264×pow2_binary64
220×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
120632
2303332
Stop Event
1×node limit
Counts
2 → 101
Calls
Call 1
Inputs
(+.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1)
(/.f64 (+.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1) (+.f64 x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 2) (+.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 1)) (/.f64 1 (+.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (/.f64 (+.f64 x -1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 (+.f64 x -1) (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 x -1) (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 x -1) (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 x -1) (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 x -1) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 x -1) (+.f64 x 1)))) (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 x -1) (+.f64 x 1)))))))) (#(struct:change 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simplify47.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
843×times-frac_binary64
488×associate-*l*_binary64
473×associate-/r*_binary64
448×fma-neg_binary64
374×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054407
1165387
2510382
31788375
Stop Event
1×node limit
Counts
125 → 130
Calls
Call 1
Inputs
-2
(-.f64 (*.f64 2 x) 2)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2)
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(/.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 6))) (+.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.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 6))) (+.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 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
Outputs
-2
(-.f64 (*.f64 2 x) 2)
(fma.f64 2 x -2)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 2)
(+.f64 (fma.f64 2 x (*.f64 -2 (*.f64 x x))) -2)
(fma.f64 2 x (fma.f64 -2 (*.f64 x x) -2))
(fma.f64 2 x (*.f64 (fma.f64 x x 1) -2))
(fma.f64 x (+.f64 2 (*.f64 -2 x)) -2)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2)
(+.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (*.f64 -2 (*.f64 x x)))) -2)
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (fma.f64 -2 (*.f64 x x) -2)))
(fma.f64 2 (+.f64 x (pow.f64 x 3)) (*.f64 (fma.f64 x x 1) -2))
(*.f64 (fma.f64 x x 1) (fma.f64 2 x -2))
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
(/.f64 -2 x)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x))
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(fma.f64 2 (*.f64 x x) 2)
(*.f64 2 (fma.f64 x x 1))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4)))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 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 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 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))
(/.f64 (/.f64 -2 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 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(-.f64 (-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6)))
(+.f64 (-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6))) (/.f64 -2 (pow.f64 x 8)))
(-.f64 (-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4))) (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 8))))
(+.f64 (-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4))) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8))))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 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 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(-.f64 (-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6)))
(+.f64 (-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6))) (/.f64 -2 (pow.f64 x 8)))
(-.f64 (-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4))) (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 8))))
(+.f64 (-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4))) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8))))

eval161.0ms (2.8%)

Compiler

Compiled 6441 to 5173 computations (19.7% saved)

prune53.0ms (0.9%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New3762378
Fresh101
Picked011
Done145
Total3787385
Error
0b
Counts
385 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(/.f64 2 (*.f64 (+.f64 1 x) (-.f64 1 x)))
✓12.2b
(/.f64 (+.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1) (+.f64 x -1))
✓38.4b
(/.f64 (/.f64 -2 x) x)
25.7b
2
✓38.4b
(*.f64 (pow.f64 x -2) -2)
✓0.0b
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
✓38.6b
(/.f64 -2 (*.f64 x x))
Compiler

Compiled 54 to 42 computations (22.2% saved)

regimes47.0ms (0.8%)

Counts
20 → 1
Calls
Call 1
Inputs
2
2
2
2
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(/.f64 2 (*.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x))
(-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))
(*.f64 (/.f64 2 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
(/.f64 (+.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1) (+.f64 x -1))
(*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)) (/.f64 -1 (-.f64 1 x)))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1))
(/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1))) (+.f64 x -1))
(/.f64 (-.f64 (+.f64 (neg.f64 x) 1) (*.f64 (+.f64 1 x) -1)) (*.f64 (+.f64 1 x) (+.f64 (neg.f64 x) 1)))
(*.f64 (pow.f64 x -2) -2)
(/.f64 -2 (pow.f64 x 2))
(/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (fma.f64 x x -1))
Outputs
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
Calls

3 calls:

19.0ms
x
9.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
6.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
0.0b1(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 202 to 154 computations (23.8% saved)

regimes6.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes28.0ms (0.5%)

Counts
6 → 3
Calls
Call 1
Inputs
2
2
2
2
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
Outputs
(/.f64 (/.f64 -2 x) x)
2
(/.f64 (/.f64 -2 x) x)
Calls

1 calls:

26.0ms
x
Results
ErrorSegmentsBranch
1.0b3x
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch78.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
0.00020571601402056042
3849084740565385000.0
60.0ms
-36.18623961004378
-0.028956413118627358
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
4 → 1
Calls
Call 1
Inputs
2
2
2
2
Outputs
2
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
25.7b1x
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02254
12954
23254
33454
43554
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
(/.f64 2 (*.f64 (+.f64 1 x) (-.f64 1 x)))
(if (<=.f64 x -5092760475741645/140737488355328) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 948697665625231/4611686018427387904) 2 (/.f64 (/.f64 -2 x) x)))
2
Outputs
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
(/.f64 2 (*.f64 (+.f64 1 x) (-.f64 1 x)))
(if (<=.f64 x -5092760475741645/140737488355328) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 948697665625231/4611686018427387904) 2 (/.f64 (/.f64 -2 x) x)))
2
Compiler

Compiled 42 to 32 computations (23.8% saved)

soundness0.0ms (0%)

end32.0ms (0.6%)

Compiler

Compiled 39 to 29 computations (25.6% saved)

Profiling

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