Details

Time bar (total: 6.6s)

analyze11.0ms (0.2%)

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
0%0%100%0%0%0%0%3
50%50%50%0%0%0%0%4
75%75%25%0%0%0%0%5
87.5%87.5%12.5%0%0%0%0%6
93.8%93.7%6.2%0%0%0%0%7
96.9%96.8%3.1%0%0%0%0%8
98.4%98.4%1.6%0%0%0%0%9
99.2%99.2%0.8%0%0%0%0%10
99.6%99.6%0.4%0%0%0%0%11
99.8%99.8%0.2%0%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.4s (20.8%)

Results
591.0ms4861×body256valid
515.0ms2101×body1024valid
176.0ms1063×body512valid
68.0ms231×body2048valid
Bogosity

preprocess132.0ms (2%)

Algorithm
2×egg-herbie
Rules
859×fma-neg_binary64
771×fma-def_binary64
321×div-sub_binary64
182×associate-/l*_binary64
155×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11619
22219
33419
46019
510019
620719
738119
897219
9230219
10293519
11325219
12406719
13436319
14440519
15440719
16440919
17441919
18441919
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Outputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify122.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
859×fma-neg_binary64
771×fma-def_binary64
321×div-sub_binary64
182×associate-/l*_binary64
155×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11619
22219
33419
46019
510019
620719
738119
897219
9230219
10293519
11325219
12406719
13436319
14440519
15440719
16440919
17441919
18441919
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Outputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1)))

eval1.0ms (0%)

Compiler

Compiled 27 to 19 computations (29.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
27.1b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶27.1b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 x (+.f64 x 1))
✓0.0b
(/.f64 (+.f64 x 1) (-.f64 x 1))
✓3.1b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 34 to 23 computations (32.4% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite97.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
509×log-prod_binary64
470×fma-def_binary64
389×pow-prod-down_binary64
286×fma-neg_binary64
267×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0836
119536
2324436
Stop Event
1×node limit
Counts
3 → 225
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(/.f64 (+.f64 x 1) (-.f64 x 1))
(/.f64 x (+.f64 x 1))
Outputs
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simplify68.0ms (1%)

Algorithm
1×egg-herbie
Rules
820×times-frac_binary64
427×sub-neg_binary64
343×fma-neg_binary64
321×fma-def_binary64
258×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064466
1205439
2589432
31732429
44980429
Stop Event
1×node limit
Counts
261 → 265
Calls
Call 1
Inputs
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
-1
(-.f64 (*.f64 -2 x) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 1)
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
Outputs
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 3 x 1) (*.f64 x x))
(fma.f64 3 x (fma.f64 x x 1))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1)))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
-1
(-.f64 (*.f64 -2 x) 1)
(fma.f64 -2 x -1)
(fma.f64 x -2 -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) 1)
(+.f64 (*.f64 -2 (+.f64 (*.f64 x x) x)) -1)
(fma.f64 -2 (fma.f64 x x x) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (+.f64 x (pow.f64 x 3)))) -1)
(+.f64 -1 (*.f64 -2 (+.f64 (fma.f64 x x x) (pow.f64 x 3))))
(fma.f64 -2 (+.f64 (pow.f64 x 3) (fma.f64 x x x)) -1)
(fma.f64 -2 (+.f64 x (*.f64 x (fma.f64 x x x))) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (/.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 x) (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) 1))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (/.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 x) (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) 1))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 (pow.f64 x 3) (-.f64 x (*.f64 x x)))
(*.f64 x (-.f64 (fma.f64 x x 1) x))
(fma.f64 (*.f64 x x) (+.f64 x -1) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (+.f64 x (pow.f64 x 3))))
(-.f64 (-.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x))
(-.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (-.f64 x (*.f64 x x)))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(-.f64 1 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (*.f64 x x))))
(-.f64 1 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (*.f64 x x))))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(-.f64 1 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (*.f64 x x))))
(-.f64 1 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (*.f64 x x))))

eval229.0ms (3.5%)

Compiler

Compiled 6319 to 4676 computations (26% saved)

prune49.0ms (0.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New25510265
Fresh000
Picked011
Done000
Total25511266
Error
0.0b
Counts
266 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
29.4b
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1)))
▶34.3b
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
34.8b
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
▶27.2b
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1)))
▶33.8b
(/.f64 -3 x)
▶26.6b
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
29.4b
(+.f64 (*.f64 3 x) 1)
29.3b
1
✓27.1b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
34.6b
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
▶34.6b
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
Compiler

Compiled 258 to 194 computations (24.8% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))
✓0.0b
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
✓0.0b
(*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))
✓2.5b
(-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1)))
Compiler

Compiled 69 to 47 computations (31.9% saved)

series7.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite133.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
778×log-prod_binary64
556×fma-def_binary64
364×log-div_binary64
332×fma-neg_binary64
228×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01179
127160
2479860
Stop Event
1×node limit
Counts
4 → 384
Calls
Call 1
Inputs
(-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1)))
(*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
(*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 x (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (/.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (*.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)) (fma.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) x) 1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x)) 2) (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change 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1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 1) (fma.f64 x -1 -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (+.f64 x 1) x) x) 3) (pow.f64 (/.f64 (+.f64 x 1) x) 3)) (fma.f64 (/.f64 (*.f64 (+.f64 x 1) x) x) (/.f64 (*.f64 (+.f64 x 1) x) x) (-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 2) (*.f64 (/.f64 (*.f64 (+.f64 x 1) x) x) (/.f64 (+.f64 x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 x 1) x) x) (/.f64 (*.f64 (+.f64 x 1) x) x)) (pow.f64 (/.f64 (+.f64 x 1) x) 2)) (/.f64 (fma.f64 x x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (+.f64 x 1) x)) (exp.f64 (/.f64 (*.f64 (+.f64 x 1) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) x))) (exp.f64 (/.f64 (*.f64 (+.f64 x 1) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 (+.f64 x 1) x) x)) (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 2 (log1p.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (*.f64 2 (log1p.f64 x)) (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 (+.f64 x 1) x) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 x 1) x) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 (+.f64 x 1) x) x) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) (/.f64 1 x) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) (*.f64 (/.f64 1 x) 1) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) (*.f64 (/.f64 1 x) x) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x 1) x) x (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x 1) x) 1 (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 x)) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2) (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 1) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) x) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) 1) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) x) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x -1 -1) (/.f64 1 (neg.f64 x)) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (+.f64 x 1) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 (+.f64 x 1) x) x) 1 (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (+.f64 x 1) x) x)) (cbrt.f64 (/.f64 (*.f64 (+.f64 x 1) x) x))) (cbrt.f64 (/.f64 (*.f64 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((x fma.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x 1) (sqrt.f64 x)) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 x)) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x 1) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x 1) x))) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (+.f64 x 1) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 (+.f64 x 1) x))))) (#(struct:change 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simplify59.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
920×fma-neg_binary64
653×times-frac_binary64
644×associate-*r*_binary64
452×cancel-sign-sub-inv_binary64
366×associate-*l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041424
1118390
2319389
3891388
42607377
Stop Event
1×node limit
Counts
432 → 412
Calls
Call 1
Inputs
(/.f64 -1 x)
(neg.f64 (+.f64 3 (/.f64 1 x)))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(neg.f64 (+.f64 3 (/.f64 1 x)))
-3
(neg.f64 (+.f64 3 (/.f64 1 x)))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(neg.f64 (+.f64 3 (/.f64 1 x)))
-3
(neg.f64 (+.f64 3 (/.f64 1 x)))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(/.f64 1 x)
(+.f64 2 (/.f64 1 x))
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 (/.f64 1 x) x))
x
(+.f64 2 x)
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 (/.f64 1 x) x))
x
(+.f64 2 x)
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 (/.f64 1 x) x))
Outputs
(/.f64 -1 x)
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
-3
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
-3
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(/.f64 -1 x)
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
x
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
x
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(fma.f64 x 3 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 3 x 1) (*.f64 x x))
(fma.f64 x 3 (fma.f64 x x 1))
(fma.f64 x x (fma.f64 x 3 1))
(fma.f64 x (+.f64 x 3) 1)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x))))
(fma.f64 x 3 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1)))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(fma.f64 x (+.f64 x 3) (fma.f64 3 (pow.f64 x 3) 1))
(*.f64 (fma.f64 x 3 1) (fma.f64 x x 1))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(-.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))
(fma.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 3 x)) (/.f64 -3 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (fma.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 3 x)) (/.f64 -3 x)))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(-.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))
(fma.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 3 x)) (/.f64 -3 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (fma.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 3 x)) (/.f64 -3 x)))
(/.f64 1 x)
(+.f64 2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 2)
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 x (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 1 x) 2))
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 x (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 1 x) 2))
x
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 x (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 1 x) 2))
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 x (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 1 x) 2))
x
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 x (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 1 x) 2))
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 x (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 1 x) 2))

localize4.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
✓0.6b
(/.f64 -1 (*.f64 x x))
Compiler

Compiled 24 to 13 computations (45.8% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 -1 (*.f64 x x))
0.0ms
x
@0
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
0.0ms
x
@-inf
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
0.0ms
x
@inf
(/.f64 -1 (*.f64 x x))
0.0ms
x
@inf
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))

rewrite73.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
959×prod-diff_binary64
578×unpow-prod-down_binary64
393×log-prod_binary64
323×fma-def_binary64
233×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0820
118417
2269517
Stop Event
1×node limit
Counts
2 → 136
Calls
Call 1
Inputs
(/.f64 -1 (*.f64 x x))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
Outputs
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(fma.f64 -1 (pow.f64 (pow.f64 x -2) 3) (/.f64 -27 (pow.f64 x 3))) (fma.f64 9 (pow.f64 x -2) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 9 (pow.f64 x -2))) (/.f64 (-.f64 (/.f64 -1 x) -3) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x (*.f64 x -3) (neg.f64 x))) (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1 (pow.f64 (pow.f64 x -2) 3) (/.f64 -27 (pow.f64 x 3)))) (neg.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 9 (pow.f64 x -2))) (/.f64 3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 9 (pow.f64 x -2)))) (neg.f64 (/.f64 (-.f64 (/.f64 -1 x) -3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 x (neg.f64 x)) -3)) (*.f64 (*.f64 x (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 (*.f64 x x) -1) -3)) (*.f64 (*.f64 (*.f64 x x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 -1 x) x (*.f64 x -3)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (*.f64 x -1/3) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x -1/3 (*.f64 (*.f64 x (neg.f64 x)) 1)) (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x -1/3 (*.f64 (*.f64 (*.f64 x x) -1) 1)) (*.f64 (*.f64 (*.f64 x x) -1) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 -1 x) (*.f64 x -1/3) x) (*.f64 x (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (neg.f64 x) (*.f64 (*.f64 x x) 3)) (*.f64 (*.f64 x x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 x (*.f64 (*.f64 x (neg.f64 x)) 3)) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 x (*.f64 (*.f64 (*.f64 x x) -1) 3)) (*.f64 (*.f64 (*.f64 x x) -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 -1 x) (neg.f64 x) (*.f64 x 3)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x (*.f64 (*.f64 x -1/3) -1)) (*.f64 (*.f64 x -1/3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3 (*.f64 x x) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -3 (*.f64 x (neg.f64 x)) x) (*.f64 x (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (neg.f64 x) (*.f64 (*.f64 x -1/3) 1)) (*.f64 (*.f64 x -1/3) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3 (*.f64 x (neg.f64 x)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -3 (*.f64 (*.f64 x x) -1) x) (*.f64 x (*.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x x) -1 (*.f64 (*.f64 x -1/3) 1)) (*.f64 (*.f64 x -1/3) (*.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3 (*.f64 (*.f64 x x) -1) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -3 x (*.f64 x (/.f64 -1 x))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 x -1/3) (/.f64 -1 x))) (*.f64 (*.f64 x -1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3 x (*.f64 (neg.f64 x) (/.f64 -1 x))) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 9 (pow.f64 x -2)) (/.f64 1 (pow.f64 x 4))) (-.f64 (/.f64 -3 x) (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x (*.f64 x -3) (neg.f64 x)) (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (*.f64 x -3) (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 9 (pow.f64 x -2))) (/.f64 3 (pow.f64 x 3))) (fma.f64 -1 (pow.f64 (pow.f64 x -2) 3) (/.f64 -27 (pow.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 -1 x) -3) x) (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 9 (pow.f64 x -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2)))) (exp.f64 (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 x -2))) (+.f64 1 (expm1.f64 (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2)))) (+.f64 1 (expm1.f64 (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -3 x))) (exp.f64 (neg.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -3 x)) (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -3 x))) (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 x -2)) 1 (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 (/.f64 1 x) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -3 x) 1 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (pow.f64 x -2)) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -3 x) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2))) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -3 x)) (pow.f64 (cbrt.f64 (/.f64 -3 x)) 2) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3 x)) 2) (cbrt.f64 (/.f64 -3 x)) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -3 x)) (sqrt.f64 (/.f64 -3 x)) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (/.f64 -1 x) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -2) -1 (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -3 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 x) (/.f64 1 x) (/.f64 -3 x))))))

simplify65.0ms (1%)

Algorithm
1×egg-herbie
Rules
844×div-sub_binary64
525×distribute-neg-frac_binary64
434×unswap-sqr_binary64
376×times-frac_binary64
356×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015234
130216
261216
3118216
4282216
5857216
63719216
77266216
Stop Event
1×node limit
Counts
160 → 141
Calls
Call 1
Inputs
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
Outputs
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 x -1))
0.0b
(/.f64 x (+.f64 x 1))
✓0.1b
(*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))
✓7.7b
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1)))
Compiler

Compiled 44 to 32 computations (27.3% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite102.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
574×log-prod_binary64
470×fma-def_binary64
294×fma-neg_binary64
293×pow2_binary64
221×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
123736
2367536
Stop Event
1×node limit
Counts
3 → 235
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1)))
(*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))
(/.f64 1 (+.f64 x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (*.f64 (pow.f64 (+.f64 x -1) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 1 (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -1)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))))))

simplify71.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
811×times-frac_binary64
496×fma-neg_binary64
366×sub-neg_binary64
309×fma-def_binary64
279×distribute-rgt-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
064503
1197472
2577465
31742462
44921459
Stop Event
1×node limit
Counts
271 → 275
Calls
Call 1
Inputs
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
-1
(-.f64 (*.f64 -2 x) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 1)
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
-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))))
Outputs
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 3 x 1) (*.f64 x x))
(fma.f64 3 x (fma.f64 x x 1))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1)))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(*.f64 (fma.f64 3 x 1) (fma.f64 x x 1))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 -2 x) 1)
(fma.f64 -2 x -1)
(fma.f64 x -2 -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) 1)
(+.f64 (*.f64 -2 (+.f64 (*.f64 x x) x)) -1)
(fma.f64 -2 (fma.f64 x x x) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (+.f64 x (pow.f64 x 3)))) -1)
(+.f64 -1 (*.f64 -2 (+.f64 (fma.f64 x x x) (pow.f64 x 3))))
(fma.f64 -2 (fma.f64 (+.f64 1 x) x (pow.f64 x 3)) -1)
(fma.f64 -2 (+.f64 x (*.f64 x (fma.f64 x x x))) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (/.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (/.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
-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 (pow.f64 x 3) -1 (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 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 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(/.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 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 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))
✓0.6b
(/.f64 -3 (pow.f64 x 3))
0.6b
(/.f64 -1 (*.f64 x x))
✓9.0b
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
Compiler

Compiled 48 to 32 computations (33.3% saved)

series4.0ms (0.1%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
1.0ms
x
@0
(/.f64 -3 (pow.f64 x 3))
0.0ms
x
@0
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))
0.0ms
x
@inf
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
0.0ms
x
@inf
(/.f64 -3 (pow.f64 x 3))

rewrite100.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
683×fma-def_binary64
613×log-prod_binary64
368×fma-neg_binary64
353×log-div_binary64
239×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01242
128836
2436636
Stop Event
1×node limit
Counts
3 → 205
Calls
Call 1
Inputs
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
(/.f64 -3 (pow.f64 x 3))
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))
Outputs
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simplify56.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
536×unswap-sqr_binary64
527×times-frac_binary64
483×associate-/r*_binary64
408×fma-def_binary64
396×associate-*l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027357
181321
2191321
3451321
41392300
56292300
Stop Event
1×node limit
Counts
229 → 217
Calls
Call 1
Inputs
(/.f64 -3 (pow.f64 x 3))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(/.f64 -3 (pow.f64 x 3))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
Outputs
(/.f64 -3 (pow.f64 x 3))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -3 x))
(+.f64 (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -3 x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -3 x))
(+.f64 (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -3 x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x)))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -3 x))
(+.f64 (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -3 x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -3 x))
(+.f64 (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -3 x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x)))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -3 x))
(+.f64 (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -3 x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -3 x))
(+.f64 (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -3 x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x)))
(/.f64 -3 (pow.f64 x 3))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))

eval651.0ms (9.9%)

Compiler

Compiled 28060 to 20435 computations (27.2% saved)

prune222.0ms (3.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New113771144
Fresh415
Picked101
Done235
Total1144111155
Error
0b
Counts
1155 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
▶34.8b
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
▶29.4b
(-.f64 x (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1)))
✓33.8b
(/.f64 -3 x)
34.3b
(-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x)))
48.7b
(/.f64 (+.f64 x (*.f64 (*.f64 x -1/3) (/.f64 -1 x))) (*.f64 (*.f64 x -1/3) x))
▶0.0b
(/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
✓27.1b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
29.3b
1
▶29.4b
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1)))
✓27.2b
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1)))
▶29.4b
(+.f64 (*.f64 3 x) 1)
Compiler

Compiled 204 to 151 computations (26% saved)

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x 1) x)
✓0.0b
(/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
0.0b
(*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))
Compiler

Compiled 48 to 34 computations (29.2% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (+.f64 x 1) x)
0.0ms
x
@0
(/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
0.0ms
x
@-inf
(/.f64 (+.f64 x 1) x)
0.0ms
x
@inf
(/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
0.0ms
x
@0
(/.f64 (+.f64 x 1) x)

rewrite113.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
724×log-prod_binary64
568×prod-diff_binary64
338×log-div_binary64
241×expm1-udef_binary64
241×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01229
128624
2448324
Stop Event
1×node limit
Counts
2 → 171
Calls
Call 1
Inputs
(/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
(/.f64 (+.f64 x 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x))) (sqrt.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x)) (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x) (fma.f64 (neg.f64 (/.f64 (pow.f64 x -1/2) (+.f64 x -1))) (/.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 x) x)) (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x) (fma.f64 (neg.f64 (/.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 x) x))) (/.f64 (pow.f64 x -1/2) (+.f64 x -1)) (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x) (fma.f64 (neg.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (fma.f64 x x -1) x)))) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (fma.f64 x x -1) x))) (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -3 (/.f64 (fma.f64 x x -1) x)) (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -3 (/.f64 1 (/.f64 (fma.f64 x x -1) x)) (neg.f64 (*.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x) 1))) (fma.f64 (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x)) 1 (*.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -3 (/.f64 (fma.f64 x x -1) x)) (neg.f64 (*.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x) 1))) (fma.f64 (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x)) 1 (*.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 -3 (/.f64 (fma.f64 x x -1) x))) (cbrt.f64 (/.f64 -3 (/.f64 (fma.f64 x x -1) x)))) (cbrt.f64 (/.f64 -3 (/.f64 (fma.f64 x x -1) x))) (neg.f64 (*.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x) 1))) (fma.f64 (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x)) 1 (*.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -3 (/.f64 (fma.f64 x x -1) x))) (sqrt.f64 (/.f64 -3 (/.f64 (fma.f64 x x -1) x))) (neg.f64 (*.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x) 1))) (fma.f64 (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x)) 1 (*.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 -3 (fma.f64 x x -1)) x (neg.f64 (*.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x) 1))) (fma.f64 (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x)) 1 (*.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -3 (/.f64 1 (/.f64 (fma.f64 x x -1) x)) (neg.f64 (*.f64 (/.f64 1 (/.f64 (fma.f64 x x -1) x)) (/.f64 1 x)))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 (fma.f64 x x -1) x))) (/.f64 1 x) (*.f64 (/.f64 1 (/.f64 (fma.f64 x x -1) x)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -3 (/.f64 (fma.f64 x x -1) x)) (neg.f64 (*.f64 (/.f64 1 (/.f64 (fma.f64 x x -1) x)) (/.f64 1 x)))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 (fma.f64 x x -1) x))) (/.f64 1 x) (*.f64 (/.f64 1 (/.f64 (fma.f64 x x -1) x)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 -3 (/.f64 (fma.f64 x x -1) x))) (cbrt.f64 (/.f64 -3 (/.f64 (fma.f64 x x -1) x)))) (cbrt.f64 (/.f64 -3 (/.f64 (fma.f64 x x -1) x))) (neg.f64 (*.f64 (/.f64 1 (/.f64 (fma.f64 x x -1) x)) (/.f64 1 x)))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 (fma.f64 x x -1) x))) (/.f64 1 x) (*.f64 (/.f64 1 (/.f64 (fma.f64 x x -1) x)) (/.f64 1 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(fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 -3 (/.f64 -1 x)) 3) (pow.f64 (/.f64 (fma.f64 x x -1) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 (/.f64 1 (/.f64 (fma.f64 x x -1) x)) (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -3 (/.f64 (fma.f64 x x -1) x)) (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 -3 (/.f64 (fma.f64 x x -1) x))) (cbrt.f64 (/.f64 -3 (/.f64 (fma.f64 x x -1) x)))) (cbrt.f64 (/.f64 -3 (/.f64 (fma.f64 x x -1) x))) (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -3 (/.f64 (fma.f64 x x -1) x))) (sqrt.f64 (/.f64 -3 (/.f64 (fma.f64 x x -1) x))) (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -3 (fma.f64 x x -1)) x (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) (sqrt.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -1 -1) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 x) (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1))))))

simplify58.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
884×fma-neg_binary64
654×associate-*l*_binary64
644×times-frac_binary64
415×cancel-sign-sub-inv_binary64
335×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033256
1100240
2286239
3848238
42568227
Stop Event
1×node limit
Counts
195 → 187
Calls
Call 1
Inputs
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
Outputs
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 3 x 1) (*.f64 x x))
(fma.f64 3 x (fma.f64 x x 1))
(fma.f64 x (+.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1)))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(*.f64 (fma.f64 3 x 1) (fma.f64 x x 1))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) (/.f64 3 (pow.f64 x 3)))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (/.f64 -3 x) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 -3 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -1 (pow.f64 x 4))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) (/.f64 3 (pow.f64 x 3)))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (/.f64 -3 x) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 -3 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -1 (pow.f64 x 4))))
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))

localize5.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
Compiler

Compiled 21 to 16 computations (23.8% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
1.0ms
x
@0
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
0.0ms
x
@-inf
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))

rewrite60.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
812×pow1_binary64
757×add-log-exp_binary64
757×log1p-expm1-u_binary64
757×expm1-log1p-u_binary64
745×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0713
115410
2201510
Stop Event
1×node limit
Counts
1 → 40
Calls
Call 1
Inputs
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -3 x) (*.f64 (/.f64 1 x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -3 x) (*.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 x (+.f64 3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 3 (/.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 3 (/.f64 1 x)) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 27 (pow.f64 (/.f64 -1 x) 3)) (*.f64 (neg.f64 x) (+.f64 9 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 27 (pow.f64 (/.f64 -1 x) 3)) (*.f64 (*.f64 x -1) (+.f64 9 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (/.f64 1 (*.f64 x x))) (*.f64 (neg.f64 x) (+.f64 (/.f64 -1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (/.f64 1 (*.f64 x x))) (*.f64 (*.f64 x -1) (+.f64 (/.f64 -1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -3 (/.f64 -1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -3 (/.f64 -1 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 27 (pow.f64 (/.f64 -1 x) 3))) (*.f64 x (+.f64 9 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 9 (/.f64 1 (*.f64 x x)))) (*.f64 x (+.f64 (/.f64 -1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (pow.f64 (/.f64 -1 x) 3)) -1) (*.f64 (+.f64 9 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (/.f64 1 (*.f64 x x))) -1) (*.f64 (+.f64 (/.f64 -1 x) 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (pow.f64 (/.f64 -1 x) 3)) 1) (*.f64 (+.f64 9 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (pow.f64 (/.f64 -1 x) 3)) 1) (*.f64 (+.f64 9 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 x))) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (/.f64 1 (*.f64 x x))) 1) (*.f64 (+.f64 (/.f64 -1 x) 3) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (/.f64 1 (*.f64 x x))) 1) (*.f64 (+.f64 (/.f64 -1 x) 3) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (pow.f64 (/.f64 -1 x) 3)) (/.f64 -1 x)) (+.f64 9 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (/.f64 1 (*.f64 x x))) (/.f64 -1 x)) (+.f64 (/.f64 -1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 x) (-.f64 27 (pow.f64 (/.f64 -1 x) 3))) (+.f64 9 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 x) (-.f64 9 (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 -1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 x) 3) (pow.f64 (+.f64 3 (/.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 3 (/.f64 1 x)) 3) (pow.f64 (/.f64 -1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))))

simplify59.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
844×div-sub_binary64
525×distribute-neg-frac_binary64
434×unswap-sqr_binary64
376×times-frac_binary64
356×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015150
130132
261132
3118132
4282132
5857132
63719132
77266132
Stop Event
1×node limit
Counts
52 → 45
Calls
Call 1
Inputs
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
Outputs
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 25 to 17 computations (32% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite64.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
995×pow1_binary64
930×add-log-exp_binary64
930×log1p-expm1-u_binary64
930×expm1-log1p-u_binary64
87×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
116513
2250713
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)) 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2) (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) (sqrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (/.f64 1 (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3)) (fma.f64 x x (*.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2))) (neg.f64 (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)) (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1))) (*.f64 x (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)) (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)))) (-.f64 x (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)))))))

simplify55.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
823×fma-neg_binary64
788×fma-def_binary64
549×cancel-sign-sub-inv_binary64
536×unswap-sqr_binary64
521×associate-*l*_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
025105
178105
2192104
356299
4158696
5506192
Stop Event
1×node limit
Counts
49 → 51
Calls
Call 1
Inputs
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) 1)))
x
(-.f64 x 1)
(-.f64 x (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 x (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
x
(-.f64 x 1)
(-.f64 x (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 x (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
Outputs
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 (pow.f64 x 2)) 1))
(fma.f64 3 x (fma.f64 2 (*.f64 x x) 1))
(fma.f64 3 x (fma.f64 x (*.f64 x 2) 1))
(fma.f64 x (fma.f64 x 2 3) 1)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) 1)))
(fma.f64 3 x (fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) 1)))
(fma.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 3)) (fma.f64 3 x 1))
(fma.f64 3 x (fma.f64 2 (*.f64 x (fma.f64 x x x)) 1))
(fma.f64 x (fma.f64 x (fma.f64 x 2 2) 3) 1)
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 x (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 x (+.f64 1 (/.f64 2 x)))
(+.f64 x (+.f64 -1 (/.f64 -2 x)))
(+.f64 -1 (-.f64 x (/.f64 2 x)))
(+.f64 (+.f64 x -1) (/.f64 -2 x))
(-.f64 x (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(-.f64 x (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(+.f64 x (+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 -2 (*.f64 x x))))
(+.f64 x (-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 x -1) (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x))))
(-.f64 x (fma.f64 (/.f64 1 x) (+.f64 2 (/.f64 2 x)) 1))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 x (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 x (+.f64 1 (/.f64 2 x)))
(+.f64 x (+.f64 -1 (/.f64 -2 x)))
(+.f64 -1 (-.f64 x (/.f64 2 x)))
(+.f64 (+.f64 x -1) (/.f64 -2 x))
(-.f64 x (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(-.f64 x (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(+.f64 x (+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 -2 (*.f64 x x))))
(+.f64 x (-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 x -1) (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x))))
(-.f64 x (fma.f64 (/.f64 1 x) (+.f64 2 (/.f64 2 x)) 1))

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 35 to 26 computations (25.7% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite69.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
476×log-prod_binary64
381×fma-def_binary64
347×pow-prod-down_binary64
256×pow2_binary64
227×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
121013
2311613
Stop Event
1×node limit
Counts
1 → 102
Calls
Call 1
Inputs
(-.f64 x (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (/.f64 (neg.f64 (+.f64 x 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (*.f64 (/.f64 (neg.f64 (+.f64 x 1)) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2) (fma.f64 (/.f64 (neg.f64 (+.f64 x 1)) (+.f64 x -1)) 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2) (fma.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2) (fma.f64 (neg.f64 (cbrt.f64 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((x fma.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 (+.f64 x 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 (neg.f64 (+.f64 x 1)) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (/.f64 (neg.f64 (+.f64 x 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (neg.f64 (+.f64 x 1)) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) (sqrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (/.f64 (neg.f64 (+.f64 x 1)) (+.f64 x -1)) 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) (sqrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) (sqrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3)) (/.f64 1 (fma.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) (*.f64 x x))) (fma.f64 (/.f64 (neg.f64 (+.f64 x 1)) (+.f64 x -1)) 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3)) (/.f64 1 (fma.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) (*.f64 x x))) (fma.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3)) (/.f64 1 (fma.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) (*.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (/.f64 1 (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (/.f64 (neg.f64 (+.f64 x 1)) (+.f64 x -1)) 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (/.f64 1 (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (/.f64 1 (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (+.f64 x 1)) (+.f64 x -1))) 2) (cbrt.f64 (/.f64 (neg.f64 (+.f64 x 1)) (+.f64 x -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (neg.f64 (+.f64 x 1)) (+.f64 x -1))) (sqrt.f64 (/.f64 (neg.f64 (+.f64 x 1)) (+.f64 x -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (+.f64 x 1)) (/.f64 -1 (-.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (/.f64 (neg.f64 (+.f64 x 1)) (+.f64 x -1)) 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 1 x)) 1) (+.f64 x 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) x)))))

simplify53.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
823×fma-neg_binary64
788×fma-def_binary64
549×cancel-sign-sub-inv_binary64
536×unswap-sqr_binary64
521×associate-*l*_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
025105
178105
2192104
356299
4158696
5506192
Stop Event
1×node limit
Counts
114 → 116
Calls
Call 1
Inputs
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) 1)))
x
(-.f64 x 1)
(-.f64 x (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 x (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
x
(-.f64 x 1)
(-.f64 x (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 x (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
Outputs
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 (pow.f64 x 2)) 1))
(fma.f64 3 x (fma.f64 2 (*.f64 x x) 1))
(fma.f64 3 x (fma.f64 x (*.f64 x 2) 1))
(fma.f64 x (fma.f64 x 2 3) 1)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) 1)))
(fma.f64 3 x (fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) 1)))
(fma.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 3)) (fma.f64 3 x 1))
(fma.f64 3 x (fma.f64 2 (*.f64 x (fma.f64 x x x)) 1))
(fma.f64 x (fma.f64 x (fma.f64 x 2 2) 3) 1)
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 x (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 x (+.f64 1 (/.f64 2 x)))
(+.f64 x (+.f64 -1 (/.f64 -2 x)))
(+.f64 -1 (-.f64 x (/.f64 2 x)))
(+.f64 (+.f64 x -1) (/.f64 -2 x))
(-.f64 x (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(-.f64 x (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(+.f64 x (+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 -2 (*.f64 x x))))
(+.f64 x (-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 x -1) (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x))))
(-.f64 x (fma.f64 (/.f64 1 x) (+.f64 2 (/.f64 2 x)) 1))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 x (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 x (+.f64 1 (/.f64 2 x)))
(+.f64 x (+.f64 -1 (/.f64 -2 x)))
(+.f64 -1 (-.f64 x (/.f64 2 x)))
(+.f64 (+.f64 x -1) (/.f64 -2 x))
(-.f64 x (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(-.f64 x (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(+.f64 x (+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 -2 (*.f64 x x))))
(+.f64 x (-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 x -1) (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x))))
(-.f64 x (fma.f64 (/.f64 1 x) (+.f64 2 (/.f64 2 x)) 1))

eval326.0ms (5%)

Compiler

Compiled 16834 to 11984 computations (28.8% saved)

prune100.0ms (1.5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New6706676
Fresh033
Picked101
Done437
Total67512687
Error
0b
Counts
687 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
▶48.7b
(/.f64 (+.f64 x (*.f64 (*.f64 x -1/3) (/.f64 -1 x))) (*.f64 (*.f64 x -1/3) x))
✓33.8b
(/.f64 -3 x)
34.3b
(-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x)))
▶29.9b
(-.f64 x -1)
29.3b
(-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1)))
29.4b
(-.f64 x (-.f64 (*.f64 -2 x) 1))
✓29.4b
(+.f64 (*.f64 3 x) 1)
✓34.8b
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
▶34.6b
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
▶34.8b
(/.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x))))
29.3b
1
Compiler

Compiled 186 to 138 computations (25.8% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (/.f64 1 x))
✓0.0b
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
Compiler

Compiled 28 to 20 computations (28.6% saved)

series2.0ms (0%)

Counts
2 → 15
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
0.0ms
x
@-inf
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
0.0ms
x
@inf
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
0.0ms
x
@-inf
(-.f64 x (/.f64 1 x))
0.0ms
x
@inf
(-.f64 x (/.f64 1 x))

rewrite128.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
469×prod-diff_binary64
436×log-prod_binary64
258×pow-prod-down_binary64
247×pow2_binary64
218×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
118923
2277323
Stop Event
1×node limit
Counts
2 → 232
Calls
Call 1
Inputs
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
(-.f64 x (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x (/.f64 -1 x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 1 x) (+.f64 x (/.f64 -1 x))))) (sqrt.f64 (/.f64 (/.f64 1 x) (+.f64 x (/.f64 -1 x)))) (/.f64 (/.f64 1 x) (+.f64 x (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x (/.f64 -1 x))) (fma.f64 (neg.f64 (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 x (/.f64 -1 x))))) (/.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 x (/.f64 -1 x)))) (/.f64 (/.f64 1 x) (+.f64 x (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -3 (+.f64 x (/.f64 -1 x))) (neg.f64 (/.f64 (/.f64 1 x) (+.f64 x (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -3 (/.f64 1 (+.f64 x (/.f64 -1 x))) (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (+.f64 x (/.f64 -1 x))) 1))) (fma.f64 (neg.f64 (/.f64 (/.f64 1 x) 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(+.f64 x (/.f64 -1 x))) (sqrt.f64 (+.f64 x (/.f64 -1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) (sqrt.f64 (+.f64 x (/.f64 -1 x))) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 x x (+.f64 1 (pow.f64 x -2)))) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 x x (+.f64 1 (pow.f64 x -2)))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 x x (+.f64 1 (pow.f64 x -2)))) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (/.f64 1 (+.f64 x (/.f64 1 x))) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (/.f64 1 (+.f64 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (/.f64 1 (+.f64 x (/.f64 1 x))) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) (cbrt.f64 (/.f64 -1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 x)) (sqrt.f64 (/.f64 -1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) x)))))

simplify49.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
884×fma-neg_binary64
650×associate-*l*_binary64
646×times-frac_binary64
415×cancel-sign-sub-inv_binary64
353×associate-/l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034193
199177
2285176
3850175
42572164
Stop Event
1×node limit
Counts
247 → 248
Calls
Call 1
Inputs
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(/.f64 -1 x)
x
x
Outputs
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 3 x 1) (*.f64 x x))
(fma.f64 3 x (fma.f64 x x 1))
(fma.f64 x (+.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1)))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(fma.f64 3 (pow.f64 x 3) (fma.f64 x (+.f64 3 x) 1))
(*.f64 (fma.f64 3 x 1) (fma.f64 x x 1))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(-.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 3 (pow.f64 x 3)))
(fma.f64 (/.f64 (/.f64 1 x) x) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (/.f64 -3 x) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (fma.f64 (/.f64 (/.f64 1 x) x) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x)))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(-.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 3 (pow.f64 x 3)))
(fma.f64 (/.f64 (/.f64 1 x) x) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (/.f64 -3 x) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (fma.f64 (/.f64 (/.f64 1 x) x) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x)))
(/.f64 -1 x)
x
x

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
Compiler

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
0.0ms
x
@-inf
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
0.0ms
x
@0
(/.f64 (-.f64 -3 (/.f64 1 x)) x)

rewrite57.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
854×pow1_binary64
801×add-log-exp_binary64
801×log1p-expm1-u_binary64
801×expm1-log1p-u_binary64
787×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115810
2215210
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -3 x) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -3 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (/.f64 -3 x) (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 -3 x) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (-.f64 -3 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -3 (/.f64 1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 -3 (/.f64 1 x))) 2) (*.f64 (cbrt.f64 (-.f64 -3 (/.f64 1 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))) 2) (cbrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -3 (/.f64 1 x))) (*.f64 (sqrt.f64 (-.f64 -3 (/.f64 1 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (-.f64 -3 (/.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))) (sqrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 -3 (/.f64 1 x))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 -3 (/.f64 1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -3 (/.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 -3 (/.f64 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -3 (/.f64 1 x))) 1) (/.f64 (sqrt.f64 (-.f64 -3 (/.f64 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -3 (/.f64 1 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -3 (/.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 -3 (/.f64 1 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -3 (/.f64 1 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 -3 (/.f64 1 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -3 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -3 (/.f64 1 x)) (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 -3 (/.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 -3 (/.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 -3 (/.f64 1 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 -3 (/.f64 1 x)) 3) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))))))))

simplify60.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
844×div-sub_binary64
525×distribute-neg-frac_binary64
434×unswap-sqr_binary64
376×times-frac_binary64
356×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015150
130132
261132
3118132
4282132
5857132
63719132
77266132
Stop Event
1×node limit
Counts
48 → 41
Calls
Call 1
Inputs
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
Outputs
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 x (+.f64 -3 (/.f64 -1 x)))
✓0.2b
(/.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x))))
Compiler

Compiled 29 to 22 computations (24.1% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x))))
0.0ms
x
@inf
(/.f64 x (+.f64 -3 (/.f64 -1 x)))
0.0ms
x
@inf
(/.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x))))
0.0ms
x
@0
(/.f64 x (+.f64 -3 (/.f64 -1 x)))
0.0ms
x
@0
(/.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x))))

rewrite79.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
422×log-prod_binary64
335×exp-prod_binary64
279×prod-exp_binary64
238×pow2_binary64
229×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
119620
2253520
Stop Event
1×node limit
Counts
2 → 113
Calls
Call 1
Inputs
(/.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x))))
(/.f64 x (+.f64 -3 (/.f64 -1 x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 -3 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 -3 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 -3 (/.f64 -1 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))))) (sqrt.f64 (log.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 3 (neg.f64 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 -3 (/.f64 -1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))) 3/2) (pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (+.f64 3 (neg.f64 (/.f64 -1 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))))) 2))))))

simplify84.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
732×distribute-rgt-neg-in_binary64
526×fma-neg_binary64
425×cancel-sign-sub-inv_binary64
423×times-frac_binary64
415×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044308
1119278
2280278
3755272
42347272
56128272
Stop Event
1×node limit
Counts
137 → 134
Calls
Call 1
Inputs
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 3 (pow.f64 x 3)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 (*.f64 -9 (pow.f64 x 4)) (*.f64 -1 (pow.f64 x 2))))
(+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 (*.f64 -9 (pow.f64 x 4)) (+.f64 (*.f64 27 (pow.f64 x 5)) (*.f64 -1 (pow.f64 x 2)))))
(*.f64 -1/3 x)
(+.f64 1/9 (*.f64 -1/3 x))
(-.f64 (+.f64 1/9 (*.f64 -1/3 x)) (*.f64 1/27 (/.f64 1 x)))
(-.f64 (+.f64 1/9 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 2))) (*.f64 -1/3 x))) (*.f64 1/27 (/.f64 1 x)))
(*.f64 -1/3 x)
(+.f64 1/9 (*.f64 -1/3 x))
(-.f64 (+.f64 1/9 (*.f64 -1/3 x)) (*.f64 1/27 (/.f64 1 x)))
(-.f64 (+.f64 1/9 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 2))) (*.f64 -1/3 x))) (*.f64 1/27 (/.f64 1 x)))
Outputs
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 3 (pow.f64 x 3)) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 3 (pow.f64 x 3) (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 3 (pow.f64 x 3)) (*.f64 x x))
(*.f64 x (-.f64 (*.f64 (*.f64 x x) 3) x))
(*.f64 (*.f64 x x) (fma.f64 x 3 -1))
(+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 (*.f64 -9 (pow.f64 x 4)) (*.f64 -1 (pow.f64 x 2))))
(fma.f64 3 (pow.f64 x 3) (fma.f64 -9 (pow.f64 x 4) (neg.f64 (*.f64 x x))))
(fma.f64 3 (pow.f64 x 3) (-.f64 (*.f64 -9 (pow.f64 x 4)) (*.f64 x x)))
(fma.f64 x (*.f64 x (fma.f64 x 3 -1)) (*.f64 -9 (pow.f64 x 4)))
(fma.f64 (*.f64 x x) (fma.f64 x 3 -1) (*.f64 -9 (pow.f64 x 4)))
(+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 (*.f64 -9 (pow.f64 x 4)) (+.f64 (*.f64 27 (pow.f64 x 5)) (*.f64 -1 (pow.f64 x 2)))))
(fma.f64 3 (pow.f64 x 3) (fma.f64 -9 (pow.f64 x 4) (fma.f64 27 (pow.f64 x 5) (neg.f64 (*.f64 x x)))))
(fma.f64 3 (pow.f64 x 3) (-.f64 (fma.f64 -9 (pow.f64 x 4) (*.f64 27 (pow.f64 x 5))) (*.f64 x x)))
(fma.f64 x (*.f64 x (fma.f64 x 3 -1)) (fma.f64 -9 (pow.f64 x 4) (*.f64 27 (pow.f64 x 5))))
(*.f64 -1/3 x)
(*.f64 x -1/3)
(+.f64 1/9 (*.f64 -1/3 x))
(+.f64 (*.f64 x -1/3) 1/9)
(fma.f64 x -1/3 1/9)
(-.f64 (+.f64 1/9 (*.f64 -1/3 x)) (*.f64 1/27 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 x -1/3) 1/9) (/.f64 1/27 x))
(+.f64 1/9 (fma.f64 x -1/3 (/.f64 -1/27 x)))
(fma.f64 x -1/3 (+.f64 1/9 (/.f64 -1/27 x)))
(-.f64 (+.f64 1/9 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 2))) (*.f64 -1/3 x))) (*.f64 1/27 (/.f64 1 x)))
(-.f64 (+.f64 1/9 (+.f64 (*.f64 x -1/3) (/.f64 1/81 (*.f64 x x)))) (/.f64 1/27 x))
(+.f64 (fma.f64 x -1/3 (/.f64 1/81 (*.f64 x x))) (-.f64 1/9 (/.f64 1/27 x)))
(+.f64 1/9 (+.f64 (/.f64 1/81 (*.f64 x x)) (fma.f64 x -1/3 (/.f64 -1/27 x))))
(fma.f64 x -1/3 (+.f64 1/9 (+.f64 (/.f64 1/81 (*.f64 x x)) (/.f64 -1/27 x))))
(+.f64 (fma.f64 x -1/3 1/9) (+.f64 (/.f64 1/81 (*.f64 x x)) (/.f64 -1/27 x)))
(-.f64 (fma.f64 x -1/3 1/9) (+.f64 (/.f64 1/27 x) (/.f64 -1/81 (*.f64 x x))))
(*.f64 -1/3 x)
(*.f64 x -1/3)
(+.f64 1/9 (*.f64 -1/3 x))
(+.f64 (*.f64 x -1/3) 1/9)
(fma.f64 x -1/3 1/9)
(-.f64 (+.f64 1/9 (*.f64 -1/3 x)) (*.f64 1/27 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 x -1/3) 1/9) (/.f64 1/27 x))
(+.f64 1/9 (fma.f64 x -1/3 (/.f64 -1/27 x)))
(fma.f64 x -1/3 (+.f64 1/9 (/.f64 -1/27 x)))
(-.f64 (+.f64 1/9 (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 2))) (*.f64 -1/3 x))) (*.f64 1/27 (/.f64 1 x)))
(-.f64 (+.f64 1/9 (+.f64 (*.f64 x -1/3) (/.f64 1/81 (*.f64 x x)))) (/.f64 1/27 x))
(+.f64 (fma.f64 x -1/3 (/.f64 1/81 (*.f64 x x))) (-.f64 1/9 (/.f64 1/27 x)))
(+.f64 1/9 (+.f64 (/.f64 1/81 (*.f64 x x)) (fma.f64 x -1/3 (/.f64 -1/27 x))))
(fma.f64 x -1/3 (+.f64 1/9 (+.f64 (/.f64 1/81 (*.f64 x x)) (/.f64 -1/27 x))))
(+.f64 (fma.f64 x -1/3 1/9) (+.f64 (/.f64 1/81 (*.f64 x x)) (/.f64 -1/27 x)))
(-.f64 (fma.f64 x -1/3 1/9) (+.f64 (/.f64 1/27 x) (/.f64 -1/81 (*.f64 x x))))

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (*.f64 x -1/3) x)
✓0.4b
(*.f64 x -1/3)
✓0.4b
(*.f64 (*.f64 x -1/3) (/.f64 -1 x))
✓14.1b
(/.f64 (+.f64 x (*.f64 (*.f64 x -1/3) (/.f64 -1 x))) (*.f64 (*.f64 x -1/3) x))
Compiler

Compiled 46 to 31 computations (32.6% saved)

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (+.f64 x (*.f64 (*.f64 x -1/3) (/.f64 -1 x))) (*.f64 (*.f64 x -1/3) x))
1.0ms
x
@inf
(/.f64 (+.f64 x (*.f64 (*.f64 x -1/3) (/.f64 -1 x))) (*.f64 (*.f64 x -1/3) x))
0.0ms
x
@-inf
(/.f64 (+.f64 x (*.f64 (*.f64 x -1/3) (/.f64 -1 x))) (*.f64 (*.f64 x -1/3) x))
0.0ms
x
@inf
(*.f64 (*.f64 x -1/3) x)
0.0ms
x
@inf
(*.f64 x -1/3)

rewrite80.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
632×log-prod_binary64
394×pow-prod-down_binary64
296×pow2_binary64
281×fma-def_binary64
215×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01043
122535
2326035
Stop Event
1×node limit
Counts
4 → 105
Calls
Call 1
Inputs
(/.f64 (+.f64 x (*.f64 (*.f64 x -1/3) (/.f64 -1 x))) (*.f64 (*.f64 x -1/3) x))
(*.f64 (*.f64 x -1/3) (/.f64 -1 x))
(*.f64 x -1/3)
(*.f64 (*.f64 x -1/3) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x (/.f64 1/3 x) x) (*.f64 x (*.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x (/.f64 1/3 x) x) (*.f64 x (*.f64 x -1/3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x (/.f64 1/3 x) x) (*.f64 x (*.f64 x -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x (/.f64 1/3 x) x) (*.f64 x (*.f64 x -1/3)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x (/.f64 1/3 x) x) (*.f64 x (*.f64 x -1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (/.f64 1/3 x) x) (*.f64 x (*.f64 x -1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (/.f64 1/3 x) x) (/.f64 1 (*.f64 x (*.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (/.f64 1/3 x) x) (*.f64 x (*.f64 x -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x (/.f64 1/3 x) x) (*.f64 x (*.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x (/.f64 1/3 x) x) 2)) (*.f64 (cbrt.f64 (fma.f64 x (/.f64 1/3 x) x)) (/.f64 1 (*.f64 x (*.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x (/.f64 1/3 x) x) (*.f64 x (*.f64 x -1/3)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (/.f64 1/3 x) x) (*.f64 x (*.f64 x -1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (/.f64 1/3 x) x) (*.f64 x (*.f64 x -1/3)))) 2) (cbrt.f64 (/.f64 (fma.f64 x (/.f64 1/3 x) x) (*.f64 x (*.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (/.f64 1/3 x) x)) (*.f64 (sqrt.f64 (fma.f64 x (/.f64 1/3 x) x)) (/.f64 1 (*.f64 x (*.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x (/.f64 1/3 x) x) (*.f64 x (*.f64 x -1/3)))) (sqrt.f64 (/.f64 (fma.f64 x (/.f64 1/3 x) x) (*.f64 x (*.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x (/.f64 1/3 x) x)) (/.f64 1 (*.f64 x (neg.f64 (*.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (fma.f64 x (/.f64 1/3 x) x) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (*.f64 x -1/3))) (fma.f64 x (/.f64 1/3 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x (/.f64 1/3 x) x) (*.f64 x -1/3)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (/.f64 1/3 x) x) 2)) x) (/.f64 (cbrt.f64 (fma.f64 x (/.f64 1/3 x) x)) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x (/.f64 1/3 x) x)) x) (/.f64 (sqrt.f64 (fma.f64 x (/.f64 1/3 x) x)) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (/.f64 1/3 x) x) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 x (/.f64 1/3 x) x)) (*.f64 x 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(/.f64 1/3 x) x) (*.f64 x (*.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (/.f64 1/3 x) x) (*.f64 x (*.f64 x -1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (/.f64 1/3 x) x) (*.f64 x (*.f64 x -1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (/.f64 1/3 x) x) 3) (pow.f64 (*.f64 x (*.f64 x -1/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (/.f64 1/3 x) x) (*.f64 x (*.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (/.f64 1/3 x) x) (*.f64 x (*.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x (/.f64 1/3 x) x) (*.f64 x (*.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x (/.f64 1/3 x) x) (*.f64 x (*.f64 x -1/3)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 1/3 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 1/3 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1/3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/3) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 1/3)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/3) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 1/3) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 1/3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 1/3 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 1/3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 1/3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 1/3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 x 1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 1/3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 1/3 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -1/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 x -1/3)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -1/3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x -1/3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 x -1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/3))) 1))))))

simplify103.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
509×distribute-neg-frac_binary64
475×associate-*l*_binary64
434×unswap-sqr_binary64
376×times-frac_binary64
356×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019294
136276
269276
3134276
4332276
51048276
64424276
77820276
Stop Event
1×node limit
Counts
153 → 115
Calls
Call 1
Inputs
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 -1/3 (pow.f64 x 2))
Outputs
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x))
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
1/3
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/3)
(*.f64 x (*.f64 x -1/3))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/3)
(*.f64 x (*.f64 x -1/3))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/3)
(*.f64 x (*.f64 x -1/3))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/3)
(*.f64 x (*.f64 x -1/3))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/3)
(*.f64 x (*.f64 x -1/3))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/3)
(*.f64 x (*.f64 x -1/3))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/3)
(*.f64 x (*.f64 x -1/3))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/3)
(*.f64 x (*.f64 x -1/3))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/3)
(*.f64 x (*.f64 x -1/3))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/3)
(*.f64 x (*.f64 x -1/3))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/3)
(*.f64 x (*.f64 x -1/3))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/3)
(*.f64 x (*.f64 x -1/3))

eval394.0ms (6%)

Compiler

Compiled 13454 to 9882 computations (26.5% saved)

prune156.0ms (2.4%)

Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New5543557
Fresh044
Picked101
Done167
Total55613569
Error
0b
Counts
569 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
34.0b
(/.f64 1 (*.f64 x -1/3))
✓33.8b
(/.f64 -3 x)
34.3b
(-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x)))
✓29.9b
(-.f64 x -1)
29.3b
(-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1)))
29.4b
(-.f64 x (-.f64 (*.f64 -2 x) 1))
✓29.4b
(+.f64 (*.f64 3 x) 1)
29.4b
(/.f64 1 (+.f64 1/9 (*.f64 -1/3 x)))
✓34.8b
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
✓34.6b
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
48.7b
(/.f64 (+.f64 x 1/3) (*.f64 (*.f64 x -1/3) x))
29.3b
1
Compiler

Compiled 102 to 78 computations (23.5% saved)

regimes57.0ms (0.9%)

Counts
27 → 1
Calls
Call 1
Inputs
1
1
(-.f64 x -1)
(/.f64 -3 x)
(/.f64 1 (*.f64 x -1/3))
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) 1)
(/.f64 1 (+.f64 1/9 (*.f64 -1/3 x)))
(-.f64 x (-.f64 (*.f64 -2 x) 1))
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
(/.f64 (+.f64 x 1/3) (*.f64 (*.f64 x -1/3) x))
(-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1)))
(/.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x))))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
(-.f64 x (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1)))
(-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x)))
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(/.f64 (+.f64 x (*.f64 (*.f64 x -1/3) (/.f64 -1 x))) (*.f64 (*.f64 x -1/3) x))
(/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1)))
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
Outputs
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
Calls

3 calls:

25.0ms
x
8.0ms
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
8.0ms
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
0.0b1(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 293 to 210 computations (28.3% saved)

regimes34.0ms (0.5%)

Counts
16 → 3
Calls
Call 1
Inputs
1
1
(-.f64 x -1)
(/.f64 -3 x)
(/.f64 1 (*.f64 x -1/3))
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) 1)
(/.f64 1 (+.f64 1/9 (*.f64 -1/3 x)))
(-.f64 x (-.f64 (*.f64 -2 x) 1))
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
(/.f64 (+.f64 x 1/3) (*.f64 (*.f64 x -1/3) x))
(-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1)))
(/.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x))))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
Outputs
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
(-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1)))
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
Calls

1 calls:

29.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
Compiler

Compiled 101 to 74 computations (26.7% saved)

bsearch41.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
0.10170565312564367
177425.93470044504
22.0ms
-238636601428031.38
-1.905508539751489e-5
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes25.0ms (0.4%)

Counts
11 → 3
Calls
Call 1
Inputs
1
1
(-.f64 x -1)
(/.f64 -3 x)
(/.f64 1 (*.f64 x -1/3))
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) 1)
(/.f64 1 (+.f64 1/9 (*.f64 -1/3 x)))
(-.f64 x (-.f64 (*.f64 -2 x) 1))
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
(/.f64 (+.f64 x 1/3) (*.f64 (*.f64 x -1/3) x))
Outputs
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
(+.f64 (*.f64 3 x) 1)
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
Calls

1 calls:

21.0ms
x
Results
ErrorSegmentsBranch
0.7b3x
Compiler

Compiled 56 to 42 computations (25% saved)

bsearch40.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
0.10170565312564367
177425.93470044504
21.0ms
-238636601428031.38
-1.905508539751489e-5
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes21.0ms (0.3%)

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

1 calls:

18.0ms
x
Results
ErrorSegmentsBranch
0.8b3x
Compiler

Compiled 40 to 31 computations (22.5% saved)

bsearch38.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
0.10170565312564367
177425.93470044504
19.0ms
-238636601428031.38
-1.905508539751489e-5
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes18.0ms (0.3%)

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

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 26 to 20 computations (23.1% saved)

bsearch38.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
0.10170565312564367
177425.93470044504
20.0ms
-238636601428031.38
-1.905508539751489e-5
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes16.0ms (0.2%)

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

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
1.4b3x
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch40.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.10170565312564367
177425.93470044504
20.0ms
-238636601428031.38
-1.905508539751489e-5
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.6b remaining (-2.1%)

Threshold costs -0.6b (-2.1%)

Counts
3 → 1
Calls
Call 1
Inputs
1
1
(-.f64 x -1)
Outputs
1
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
29.3b1x
Compiler

Compiled 8 to 6 computations (25% saved)

simplify17.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
29×cancel-sign-sub-inv_binary64
25×distribute-rgt-neg-in_binary64
19×distribute-lft-neg-out_binary64
18×sub-neg_binary64
18×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039185
160185
281185
398185
4141185
5191185
6226185
7256185
8270185
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
(if (<=.f64 x -1909092811424251/8) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 1832166166072487/18014398509481984) (-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1))) (/.f64 (-.f64 -3 (/.f64 1 x)) x)))
(if (<=.f64 x -1909092811424251/8) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 1832166166072487/18014398509481984) (+.f64 (*.f64 3 x) 1) (/.f64 (-.f64 -3 (/.f64 1 x)) x)))
(if (<=.f64 x -1909092811424251/8) (/.f64 -3 x) (if (<=.f64 x 1832166166072487/18014398509481984) (+.f64 (*.f64 3 x) 1) (/.f64 1 (+.f64 1/9 (*.f64 -1/3 x)))))
(if (<=.f64 x -1909092811424251/8) (/.f64 -3 x) (if (<=.f64 x 1832166166072487/18014398509481984) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x)))
(if (<=.f64 x -1909092811424251/8) (/.f64 -3 x) (if (<=.f64 x 1832166166072487/18014398509481984) (-.f64 x -1) (/.f64 -3 x)))
1
Outputs
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
(/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x (/.f64 -1 x)))
(if (<=.f64 x -1909092811424251/8) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 1832166166072487/18014398509481984) (-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1))) (/.f64 (-.f64 -3 (/.f64 1 x)) x)))
(if (<=.f64 x -1909092811424251/8) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 1832166166072487/18014398509481984) (-.f64 x (*.f64 (-.f64 -1 x) (+.f64 1 x))) (/.f64 (-.f64 -3 (/.f64 1 x)) x)))
(if (<=.f64 x -1909092811424251/8) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 1832166166072487/18014398509481984) (-.f64 x (*.f64 (-.f64 -1 x) (+.f64 1 x))) (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))
(if (<=.f64 x -1909092811424251/8) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 1832166166072487/18014398509481984) (+.f64 x (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))
(if (<=.f64 x -1909092811424251/8) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 1832166166072487/18014398509481984) (+.f64 (*.f64 3 x) 1) (/.f64 (-.f64 -3 (/.f64 1 x)) x)))
(if (<=.f64 x -1909092811424251/8) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 1832166166072487/18014398509481984) (+.f64 1 (*.f64 x 3)) (/.f64 (-.f64 -3 (/.f64 1 x)) x)))
(if (<=.f64 x -1909092811424251/8) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 1832166166072487/18014398509481984) (+.f64 1 (*.f64 x 3)) (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))
(if (<=.f64 x -1909092811424251/8) (/.f64 -3 x) (if (<=.f64 x 1832166166072487/18014398509481984) (+.f64 (*.f64 3 x) 1) (/.f64 1 (+.f64 1/9 (*.f64 -1/3 x)))))
(if (<=.f64 x -1909092811424251/8) (/.f64 -3 x) (if (<=.f64 x 1832166166072487/18014398509481984) (+.f64 1 (*.f64 x 3)) (/.f64 1 (+.f64 1/9 (*.f64 x -1/3)))))
(if (<=.f64 x -1909092811424251/8) (/.f64 -3 x) (if (<=.f64 x 1832166166072487/18014398509481984) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x)))
(if (<=.f64 x -1909092811424251/8) (/.f64 -3 x) (if (<=.f64 x 1832166166072487/18014398509481984) (+.f64 1 (*.f64 x 3)) (/.f64 -3 x)))
(if (<=.f64 x -1909092811424251/8) (/.f64 -3 x) (if (<=.f64 x 1832166166072487/18014398509481984) (-.f64 x -1) (/.f64 -3 x)))
(if (<=.f64 x -1909092811424251/8) (/.f64 -3 x) (if (<=.f64 x 1832166166072487/18014398509481984) (+.f64 1 x) (/.f64 -3 x)))
1
Compiler

Compiled 136 to 102 computations (25% saved)

soundness106.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
920×fma-neg_binary64
653×times-frac_binary64
644×associate-*r*_binary64
452×cancel-sign-sub-inv_binary64
366×associate-*l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041424
1118390
2319389
3891388
42607377
Stop Event
1×node limit
Compiler

Compiled 28 to 24 computations (14.3% saved)

end77.0ms (1.2%)

Compiler

Compiled 130 to 96 computations (26.2% saved)

Profiling

Loading profile data...