Details

Time bar (total: 7.1s)

analyze6.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
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)

sample1.3s (18.8%)

Results
573.0ms2129×body1024valid
498.0ms4865×body256valid
181.0ms1042×body512valid
75.0ms220×body2048valid
Bogosity

preprocess141.0ms (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)

simplify130.0ms (1.8%)

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
31.7b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.7b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize13.0ms (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))
✓3.5b
(-.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
@0
(/.f64 x (+.f64 x 1))

rewrite106.0ms (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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simplify70.0ms (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))))

eval133.0ms (1.9%)

Compiler

Compiled 6319 to 4676 computations (26% saved)

prune48.0ms (0.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New25312265
Fresh000
Picked011
Done000
Total25313266
Error
0.0b
Counts
266 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
32.2b
(fma.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))
32.0b
(/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) x) 1)) (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 (+.f64 x -1) (+.f64 x 1))))
▶31.9b
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
▶29.3b
(/.f64 -3 x)
31.7b
(-.f64 (/.f64 x (+.f64 x 1)) (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1))
✓31.7b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
31.8b
(-.f64 (*.f64 (/.f64 1 (+.f64 x 1)) x) (/.f64 (+.f64 x 1) (-.f64 x 1)))
▶34.5b
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1)))
29.7b
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
▶29.4b
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
▶34.4b
(+.f64 (*.f64 3 x) 1)
32.4b
(exp.f64 (log.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))
33.9b
1
Compiler

Compiled 350 to 256 computations (26.9% saved)

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite50.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
560×pow1_binary64
522×log1p-expm1-u_binary64
522×expm1-log1p-u_binary64
521×add-log-exp_binary64
512×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
11245
214465
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(+.f64 (*.f64 3 x) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 3 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 9) (fma.f64 3 x -1)) (/.f64 1 (fma.f64 3 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 x 1)) (pow.f64 (cbrt.f64 (fma.f64 3 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x 1)) 2) (cbrt.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 x 1)) (sqrt.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (*.f64 3 x) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 1 (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x x) 9) -1) (/.f64 1 (fma.f64 3 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 1 (*.f64 3 x))) (+.f64 1 (pow.f64 (*.f64 3 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 3 x -1) (+.f64 (*.f64 (*.f64 x x) 9) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 3 x) 3)) (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 1 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 3 x) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 x x) 9) (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x x) 9) -1) (fma.f64 3 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 3 x) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 1 (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) 9) -1)) (neg.f64 (fma.f64 3 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 x x) 9)) (-.f64 1 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 x 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 x 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 x)) (sqrt.f64 (*.f64 3 x)) 1)))))

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
189
Stop Event
1×saturated
Counts
35 → 34
Calls
Call 1
Inputs
1
(*.f64 3 x)
(*.f64 3 x)
Outputs
1
(*.f64 3 x)
(*.f64 3 x)

localize10.0ms (0.1%)

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)))

rewrite66.0ms (0.9%)

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)))))))

simplify58.0ms (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))

localize26.0ms (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) x) (+.f64 x -1))
✓0.3b
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
✓3.3b
(-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1)))
Compiler

Compiled 69 to 47 computations (31.9% saved)

series9.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.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 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1)))
1.0ms
x
@inf
(*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))

rewrite143.0ms (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) (*.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))
(*.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 #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)) (+.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) x) (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)))) (cbrt.f64 (exp.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (+.f64 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)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x))) (pow.f64 (cbrt.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x))) 2) (cbrt.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x))) (sqrt.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x) 3)) (/.f64 1 (fma.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x) (+.f64 -1 (+.f64 x (/.f64 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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 #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (+.f64 x 1) x) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (/.f64 (+.f64 x 1) x))) (sqrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x 1) x))))))

simplify62.0ms (0.9%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
041424
1118390
2319389
3894388
42623377
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)))
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 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))
(/.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))
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)))
(fma.f64 3 x (+.f64 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))
(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 -3 x) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 3 x))))
(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 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.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))
(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 -3 x) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 3 x))))
(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 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.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 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))
(/.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))

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)))
✓0.1b
(/.f64 -3 (pow.f64 x 3))
✓0.4b
(/.f64 -1 (*.f64 x x))
✓7.0b
(+.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)

series6.0ms (0.1%)

Counts
4 → 36
Calls

12 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))
1.0ms
x
@0
(/.f64 -1 (*.f64 x x))
0.0ms
x
@inf
(+.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))))

rewrite109.0ms (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
01249
128842
2436642
Stop Event
1×node limit
Counts
4 → 233
Calls
Call 1
Inputs
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
(/.f64 -1 (*.f64 x x))
(/.f64 -3 (pow.f64 x 3))
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 -3 x) (*.f64 3 (pow.f64 x -3))) (-.f64 (/.f64 9 (*.f64 x x)) (/.f64 9 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x -3 (*.f64 -3 (pow.f64 x 3))) (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -27 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (/.f64 -3 x) 3)) (-.f64 (+.f64 (/.f64 9 (*.f64 x x)) (/.f64 9 (pow.f64 x 6))) (/.f64 9 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -27 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (/.f64 -3 x) 3)) (+.f64 (/.f64 9 (pow.f64 x 6)) (-.f64 (/.f64 9 (*.f64 x x)) (/.f64 9 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 9 (*.f64 x x)) (/.f64 9 (pow.f64 x 6))) (+.f64 (/.f64 -3 x) (*.f64 3 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x -3 (*.f64 -3 (pow.f64 x 3)))) (neg.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -3 x))) (pow.f64 (exp.f64 -3) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -3 x)) (+.f64 1 (expm1.f64 (*.f64 -3 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -3 x))) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 (/.f64 1 x) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -3 x) 1 (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (/.f64 -1 x) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (/.f64 1 (neg.f64 (pow.f64 x 3))) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3 (pow.f64 x -3)) 1 (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -3 x) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -3 (pow.f64 x -3)) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 -3) x) (pow.f64 (/.f64 (cbrt.f64 -3) x) 2) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (cbrt.f64 -3) x) 2) (/.f64 (cbrt.f64 -3) x) (/.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) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3 x)) 2) (cbrt.f64 (/.f64 -3 x)) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -3) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 -3) (pow.f64 x 3/2)) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -3 x)) (sqrt.f64 (/.f64 -3 x)) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -3) -3 (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -3 (*.f64 -3 (pow.f64 x -3)))))))

simplify62.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
562×times-frac_binary64
536×unswap-sqr_binary64
486×associate-/r*_binary64
438×associate-*l/_binary64
408×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
029441
182405
2193405
3457405
41433384
56557384
Stop Event
1×node limit
Counts
269 → 247
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 -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 -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 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(/.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 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 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 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 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))
(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 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 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))
(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 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 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))
(/.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 (pow.f64 x 3)) (/.f64 -3 x))
(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 (pow.f64 x 3)) (/.f64 -3 x))
(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 (pow.f64 x 3)) (/.f64 -3 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 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.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 (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 (pow.f64 x 3)) (/.f64 -3 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 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.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 (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 (pow.f64 x 3)) (/.f64 -3 x))

eval425.0ms (6%)

Compiler

Compiled 20082 to 14475 computations (27.9% saved)

prune120.0ms (1.7%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New7915796
Fresh437
Picked011
Done145
Total79613809
Error
0b
Counts
809 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
32.2b
(fma.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))
▶0.3b
(/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
✓29.3b
(/.f64 -3 x)
▶31.7b
(-.f64 (/.f64 x (+.f64 x 1)) (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1))
✓31.7b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
✓34.5b
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1)))
▶34.7b
(-.f64 x -1)
▶29.4b
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x))
▶29.7b
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
✓29.4b
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
✓34.4b
(+.f64 (*.f64 3 x) 1)
62.3b
x
33.9b
1
Compiler

Compiled 212 to 154 computations (27.4% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x 1) x)
✓0.0b
(-.f64 -3 (/.f64 1 x))
0.0b
(*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))
✓0.3b
(/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
Compiler

Compiled 48 to 34 computations (29.2% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 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)

rewrite128.0ms (1.8%)

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
01236
128631
2448331
Stop Event
1×node limit
Counts
3 → 212
Calls
Call 1
Inputs
(/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
(-.f64 -3 (/.f64 1 x))
(/.f64 (+.f64 x 1) x)
Outputs
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((#(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))))))

simplify54.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
917×fma-neg_binary64
653×associate-*r*_binary64
653×times-frac_binary64
453×cancel-sign-sub-inv_binary64
355×associate-*l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037343
1109309
2306308
3872307
42592296
Stop Event
1×node limit
Counts
248 → 232
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)
(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 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))
(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))
(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)))
(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 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (+.f64 (/.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 -3 x) (fma.f64 (/.f64 (/.f64 1 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))
(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)))
(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 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (+.f64 (/.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 -3 x) (fma.f64 (/.f64 (/.f64 1 x) x) (+.f64 -1 (/.f64 -3 x)) (/.f64 -1 (pow.f64 x 4))))
(/.f64 -1 x)
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
-3
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
-3
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.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))

localize4.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
0.4b
(/.f64 -1 (*.f64 x x))
Compiler

Compiled 24 to 13 computations (45.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
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 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))

rewrite68.0ms (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
0813
118411
2269511
Stop Event
1×node limit
Counts
1 → 91
Calls
Call 1
Inputs
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
Outputs
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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))))))

simplify63.0ms (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
103 → 96
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)))

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x))
✓0.4b
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
Compiler

Compiled 37 to 23 computations (37.8% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite81.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
506×log-prod_binary64
421×fma-def_binary64
378×pow-prod-down_binary64
286×pow2_binary64
267×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0932
121330
2334130
Stop Event
1×node limit
Counts
2 → 130
Calls
Call 1
Inputs
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 -1 (/.f64 -3 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 -1 (/.f64 -3 x)) (pow.f64 x -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 -1 (/.f64 -3 x)) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 -1 (/.f64 -3 x)) (pow.f64 x -2))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 -1 (/.f64 -3 x)) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 -1 (/.f64 -3 x)) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 -3 x)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (/.f64 -3 x)) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 -1 (/.f64 -3 x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 -1 (/.f64 -3 x)) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 -3 x))) x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 -3 x))) x) 4)) (cbrt.f64 (*.f64 (+.f64 -1 (/.f64 -3 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -3 x))) 2) (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 -3 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 -3 x))) x) (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 -3 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (/.f64 -3 x))) (*.f64 (sqrt.f64 (+.f64 -1 (/.f64 -3 x))) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 3 x)) (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (+.f64 -1 (/.f64 -3 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (+.f64 -1 (/.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -3 x))) 2) x) (/.f64 (cbrt.f64 (+.f64 -1 (/.f64 -3 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -3 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 (/.f64 -3 x))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 -3 x))) 1) (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 -3 x))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cbrt.f64 x) x)) (/.f64 (+.f64 -1 (/.f64 -3 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -3 x))) 2) (*.f64 (cbrt.f64 x) x)) (cbrt.f64 (*.f64 (+.f64 -1 (/.f64 -3 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 -3 x))) (*.f64 (cbrt.f64 x) x)) (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 -3 x))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 -1 (/.f64 -3 x)) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 -3 x))) x) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 -1 (/.f64 -3 x)) (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 -3 x))) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 -3 x))) x) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 -3 x))) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 -1 (/.f64 -3 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 -1 (/.f64 -3 x)) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 -3 x))) x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 -1 (/.f64 -3 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 -1 (/.f64 -3 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 -1 (/.f64 -3 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 -1 (/.f64 -3 x)) (pow.f64 x -2))) 1))))))
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simplify61.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
562×times-frac_binary64
536×unswap-sqr_binary64
488×associate-/r*_binary64
435×associate-*l/_binary64
416×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
025390
166354
2162354
3436354
41443306
56632306
Stop Event
1×node limit
Counts
154 → 141
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 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (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 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (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 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(/.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)))))
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 (/.f64 -1 x) x))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(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 (/.f64 -1 x) x))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(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 (/.f64 -1 x) x))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(/.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 (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 (/.f64 -1 x) x))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(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 (/.f64 -1 x) x))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(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 (/.f64 -1 x) x))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(/.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 (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 (/.f64 -1 x) x))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(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 (/.f64 -1 x) x))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(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 (/.f64 -1 x) x))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(/.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 (/.f64 -1 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 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)) (/.f64 -3 x))
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 3 (pow.f64 x 3)))
(+.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 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)) (/.f64 -3 x))
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 3 (pow.f64 x 3)))
(+.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 -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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)) (/.f64 -3 x))
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 3 (pow.f64 x 3)))
(+.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 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)) (/.f64 -3 x))
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 3 (pow.f64 x 3)))
(+.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 -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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)) (/.f64 -3 x))
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 3 (pow.f64 x 3)))
(+.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 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)) (/.f64 -3 x))
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 3 (pow.f64 x 3)))
(+.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)))

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (+.f64 x 1))
✓0.0b
(pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1)
✓0.0b
(/.f64 (+.f64 x -1) (+.f64 x 1))
✓3.5b
(-.f64 (/.f64 x (+.f64 x 1)) (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1))
Compiler

Compiled 46 to 33 computations (28.3% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite99.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
547×log-prod_binary64
387×fma-def_binary64
376×pow-prod-down_binary64
291×pow2_binary64
256×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01045
123439
2351139
Stop Event
1×node limit
Counts
3 → 212
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x 1)) (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1))
(/.f64 (+.f64 x -1) (+.f64 x 1))
(pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (neg.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (*.f64 (neg.f64 (/.f64 (+.f64 x 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 (neg.f64 (/.f64 (+.f64 x 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 (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 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (+.f64 (neg.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) (/.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 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 x (+.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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (-.f64 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(2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2) (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) -2) (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (+.f64 x -1))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1))) (/.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 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 (-.f64 1 x)) (fma.f64 x -1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (+.f64 x -1) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (+.f64 x -1) (sqrt.f64 (+.f64 x 1))))))) (#(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 1 (pow.f64 x 3)) (*.f64 (+.f64 x -1) (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1) (pow.f64 (+.f64 x -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) -2) (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x 1) 1) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (+.f64 x -1))) 1))))))

simplify65.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
562×associate-/l/_binary64
444×associate-/l*_binary64
325×sub-neg_binary64
320×fma-def_binary64
299×distribute-rgt-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
064463
1208436
2607432
31735431
44422428
Stop Event
1×node limit
Counts
248 → 251
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 x) (*.f64 -2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 1)
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
-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))))))
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 -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 (/.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 -3 x) (/.f64 1 (*.f64 x 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 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 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 -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 (/.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 -3 x) (/.f64 1 (*.f64 x 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 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 x) 3)))
-1
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(fma.f64 x 2 -1)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 2 x (*.f64 (*.f64 x x) -2)) -1)
(fma.f64 x 2 (fma.f64 (*.f64 x x) -2 -1))
(fma.f64 (*.f64 x x) -2 (fma.f64 x 2 -1))
(fma.f64 x (+.f64 2 (*.f64 x -2)) -1)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 1)
(+.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (*.f64 (*.f64 x x) -2))) -1)
(fma.f64 2 (pow.f64 x 3) (fma.f64 x 2 (fma.f64 (*.f64 x x) -2 -1)))
(fma.f64 2 (+.f64 x (pow.f64 x 3)) (fma.f64 (*.f64 x x) -2 -1))
(fma.f64 2 (+.f64 x (pow.f64 x 3)) (fma.f64 x (*.f64 x -2) -1))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 -2 x)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)))
(-.f64 1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -2 (pow.f64 x 3)) (+.f64 1 (/.f64 -2 x))))
(+.f64 1 (-.f64 (/.f64 -2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x))))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 -2 x)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)))
(-.f64 1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -2 (pow.f64 x 3)) (+.f64 1 (/.f64 -2 x))))
(+.f64 1 (-.f64 (/.f64 -2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x))))
-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 (*.f64 -2 (+.f64 (fma.f64 x x x) (pow.f64 x 3))) -1)
(fma.f64 -2 (+.f64 (pow.f64 x 3) (fma.f64 x x x)) -1)
(fma.f64 -2 (fma.f64 x x (+.f64 x (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 (*.f64 x x)) (+.f64 1 (/.f64 2 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 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 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 (*.f64 x x)) (+.f64 1 (/.f64 2 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 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))

eval632.0ms (8.9%)

Compiler

Compiled 22568 to 16388 computations (27.4% saved)

prune168.0ms (2.4%)

Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New8904894
Fresh123
Picked101
Done279
Total89413907
Error
0b
Counts
907 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.3b
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
✓0.3b
(/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
▶29.7b
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
▶53.0b
(/.f64 (+.f64 x (*.f64 (/.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) x)) -3)) (*.f64 (/.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) x)) x))
✓29.3b
(/.f64 -3 x)
✓31.7b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
✓34.5b
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1)))
✓34.7b
(-.f64 x -1)
✓29.7b
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
✓34.4b
(+.f64 (*.f64 3 x) 1)
▶0.4b
(*.f64 (/.f64 1 (+.f64 x -1)) (*.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 x (+.f64 1 x))))
62.3b
x
33.9b
1
Compiler

Compiled 132 to 97 computations (26.5% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 -3 (/.f64 -1 x))
✓0.0b
(/.f64 x (+.f64 1 x))
✓0.1b
(*.f64 (/.f64 1 (+.f64 x -1)) (*.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 x (+.f64 1 x))))
✓0.3b
(*.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 x (+.f64 1 x)))
Compiler

Compiled 57 to 42 computations (26.3% saved)

series6.0ms (0.1%)

Counts
4 → 48
Calls

12 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 1 (+.f64 x -1)) (*.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 1 (+.f64 x -1)) (*.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 x (+.f64 1 x))))

rewrite100.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
718×log-prod_binary64
297×prod-diff_binary64
283×fma-def_binary64
276×log-div_binary64
253×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01352
129852
2430750
Stop Event
1×node limit
Counts
4 → 166
Calls
Call 1
Inputs
(*.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 x (+.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 x -1)) (*.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 x (+.f64 1 x))))
(/.f64 x (+.f64 1 x))
(+.f64 -3 (/.f64 -1 x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (*.f64 x (+.f64 -3 (/.f64 -1 x))) 1) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x (+.f64 -3 (/.f64 -1 x))) 1) (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x (+.f64 -3 (/.f64 -1 x))) 1) (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x (+.f64 -3 (/.f64 -1 x))) 1) (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x (+.f64 -3 (/.f64 -1 x))) 1) (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (*.f64 x (+.f64 -3 (/.f64 -1 x))) 1) (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 x (+.f64 -3 (/.f64 -1 x))) 1) (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 (+.f64 -1 x) (/.f64 x (+.f64 x 1))))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1)))) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 -3 (/.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 9 (+.f64 -3 (/.f64 1 x))) (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 -3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -3 (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -3 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 -3 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) (sqrt.f64 (+.f64 -3 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -27 (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 x) -3) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 9 (/.f64 1 (*.f64 x x))) (/.f64 1 (+.f64 -3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 x) -3) 9) (+.f64 -27 (/.f64 -1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -3 (/.f64 1 x)) (-.f64 9 (/.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -27 (/.f64 -1 (pow.f64 x 3))) (fma.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 x) -3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -27 (/.f64 -1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 9 (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (/.f64 1 (*.f64 x x))) (+.f64 -3 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -27 (/.f64 -1 (pow.f64 x 3)))) (neg.f64 (fma.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 x) -3) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 9 (/.f64 1 (*.f64 x x)))) (neg.f64 (+.f64 -3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (*.f64 x x)) 9) (-.f64 (/.f64 -1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -3 (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -3 (/.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -3 (/.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -3 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -3 (/.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -3 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -3 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -3 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 -3 (/.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 x) 1 -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -1 x)) (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) (cbrt.f64 (/.f64 -1 x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 x)) (sqrt.f64 (/.f64 -1 x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -1 -3)))))

simplify65.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
848×times-frac_binary64
490×sub-neg_binary64
386×fma-neg_binary64
275×distribute-rgt-neg-in_binary64
274×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
066554
1209512
2591507
31770503
45190503
Stop Event
1×node limit
Counts
214 → 210
Calls
Call 1
Inputs
-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)
-3
(-.f64 (*.f64 2 (/.f64 1 x)) 3)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-3
(-.f64 (*.f64 2 (/.f64 1 x)) 3)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
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))))))
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))))
(/.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)))
Outputs
-1
(-.f64 (*.f64 -2 x) 1)
(fma.f64 -2 x -1)
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 -2 x)) 1)
(+.f64 (*.f64 2 (*.f64 x x)) (fma.f64 -2 x -1))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 x -1))
(fma.f64 -2 x (fma.f64 x (*.f64 x 2) -1))
(fma.f64 x (+.f64 -2 (*.f64 x 2)) -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)
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) -1))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (fma.f64 x (*.f64 x 2) -1))
-3
(-.f64 (*.f64 2 (/.f64 1 x)) 3)
(+.f64 (/.f64 2 x) -3)
(+.f64 -3 (/.f64 2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 3 (/.f64 2 (*.f64 x x))))
(-.f64 (+.f64 -3 (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (+.f64 -3 (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 3 (/.f64 2 (*.f64 x x)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (+.f64 -3 (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(+.f64 -3 (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -3 (/.f64 -2 (*.f64 x x)))))
-3
(-.f64 (*.f64 2 (/.f64 1 x)) 3)
(+.f64 (/.f64 2 x) -3)
(+.f64 -3 (/.f64 2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 3 (/.f64 2 (*.f64 x x))))
(-.f64 (+.f64 -3 (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (+.f64 -3 (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 3 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 3 (/.f64 2 (*.f64 x x)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (+.f64 -3 (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(+.f64 -3 (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -3 (/.f64 -2 (*.f64 x 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))
(+.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))
(/.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)))
(-.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (/.f64 3 x) (/.f64 (/.f64 -1 x) 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 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 3 x))))
(+.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 (/.f64 -1 x) x) (/.f64 -3 x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.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)))
(-.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (/.f64 3 x) (/.f64 (/.f64 -1 x) 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 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 3 x))))
(+.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 (/.f64 -1 x) x) (/.f64 -3 x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
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 x (*.f64 (*.f64 x x) (+.f64 -1 x)))
(fma.f64 (*.f64 x x) (+.f64 -1 x) x)
(*.f64 x (-.f64 (fma.f64 x 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 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.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 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 (/.f64 -1 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 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.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 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 (/.f64 -1 x) x)))
(/.f64 -1 x)
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
-3
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
-3
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (/.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) x)) x)
✓0.1b
(*.f64 (/.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) x)) -3)
✓0.1b
(/.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) x))
✓25.0b
(/.f64 (+.f64 x (*.f64 (/.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) x)) -3)) (*.f64 (/.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) x)) x))
Compiler

Compiled 88 to 61 computations (30.7% saved)

series8.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 (+.f64 x (*.f64 (/.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) x)) -3)) (*.f64 (/.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) x)) x))
1.0ms
x
@0
(/.f64 (+.f64 x (*.f64 (/.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) x)) -3)) (*.f64 (/.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) x)) x))
1.0ms
x
@inf
(/.f64 (+.f64 x (*.f64 (/.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) x)) -3)) (*.f64 (/.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) x)) x))
0.0ms
x
@0
(/.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) x))
0.0ms
x
@inf
(/.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) x))

rewrite99.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
821×log-prod_binary64
350×fma-def_binary64
339×log-div_binary64
256×expm1-udef_binary64
256×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01282
128380
2442980
Stop Event
1×node limit
Counts
4 → 143
Calls
Call 1
Inputs
(/.f64 (+.f64 x (*.f64 (/.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) x)) -3)) (*.f64 (/.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) x)) x))
(/.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) x))
(*.f64 (/.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) x)) -3)
(*.f64 (/.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) x)) x)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x (/.f64 x (+.f64 -1 (/.f64 -3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 -1 (/.f64 -3 x)))) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 -1 (/.f64 -3 x)))) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 -1 (/.f64 -3 x)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 -1 (/.f64 -3 x)))) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 -1 (/.f64 -3 x)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (/.f64 x (+.f64 -1 (/.f64 -3 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 x (+.f64 -1 (/.f64 -3 x)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 (+.f64 -1 (/.f64 -3 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x x)) (/.f64 (+.f64 1 (/.f64 3 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) x) (/.f64 (+.f64 1 (/.f64 3 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) (/.f64 (+.f64 1 (/.f64 3 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) 1) (/.f64 (+.f64 -1 (/.f64 -3 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) x)) 2)) (cbrt.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (sqrt.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) x))) (sqrt.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (/.f64 x (+.f64 -1 (/.f64 -3 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 x (+.f64 -1 (/.f64 -3 x))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (/.f64 x (+.f64 -1 (/.f64 -3 x)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 x (+.f64 -1 (/.f64 -3 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 -1 (/.f64 -3 x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (/.f64 x (+.f64 -1 (/.f64 -3 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 x (+.f64 -1 (/.f64 -3 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 x (+.f64 -1 (/.f64 -3 x)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 -1 (/.f64 -3 x)))) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (/.f64 x (+.f64 -1 (/.f64 -3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (/.f64 x (+.f64 -1 (/.f64 -3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 x (+.f64 -1 (/.f64 -3 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (/.f64 x (+.f64 -1 (/.f64 -3 x)))))) 1))))))

simplify68.0ms (1%)

Algorithm
1×egg-herbie
Rules
842×fma-neg_binary64
646×associate-*l*_binary64
607×times-frac_binary64
506×unswap-sqr_binary64
485×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
087709
1254681
2652645
31922618
45665606
Stop Event
1×node limit
Counts
191 → 198
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 -1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/9 (pow.f64 x 4)) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 1/9 (pow.f64 x 4)) (+.f64 (*.f64 -1/27 (pow.f64 x 5)) (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (*.f64 1/9 (pow.f64 x 4)) (+.f64 (*.f64 1/81 (pow.f64 x 6)) (+.f64 (*.f64 -1/27 (pow.f64 x 5)) (*.f64 -1/3 (pow.f64 x 3)))))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 3 x) (*.f64 -1 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 3 x) (*.f64 -1 (pow.f64 x 2))) 9)
(-.f64 (+.f64 (*.f64 3 x) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 27 (/.f64 1 x)))) 9)
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 3 x) (*.f64 -1 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 3 x) (*.f64 -1 (pow.f64 x 2))) 9)
(-.f64 (+.f64 (*.f64 3 x) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 27 (/.f64 1 x)))) 9)
(pow.f64 x 3)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 3))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 1/9 (pow.f64 x 5)) (pow.f64 x 3)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 1/9 (pow.f64 x 5)) (+.f64 (pow.f64 x 3) (*.f64 -1/27 (pow.f64 x 6)))))
(*.f64 3 (pow.f64 x 2))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -9 x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -9 x) 27))
(-.f64 (+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -9 x) 27)) (*.f64 81 (/.f64 1 x)))
(*.f64 3 (pow.f64 x 2))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -9 x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -9 x) 27))
(-.f64 (+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -9 x) 27)) (*.f64 81 (/.f64 1 x)))
(*.f64 -1/3 (pow.f64 x 4))
(+.f64 (*.f64 1/9 (pow.f64 x 5)) (*.f64 -1/3 (pow.f64 x 4)))
(+.f64 (*.f64 1/9 (pow.f64 x 5)) (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (*.f64 -1/27 (pow.f64 x 6))))
(+.f64 (*.f64 1/9 (pow.f64 x 5)) (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 1/81 (pow.f64 x 7)) (*.f64 -1/27 (pow.f64 x 6)))))
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 -9 x)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 27 (*.f64 -9 x))))
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 3)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 -9 x)))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 27 (*.f64 -9 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 -1 (*.f64 x x)) (/.f64 3 (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 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -3 x))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 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 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -3 x))
(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 -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 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -3 x))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -3 x))
(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 -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 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -3 x))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -3 x))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/3)
(+.f64 (*.f64 1/9 (pow.f64 x 4)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 4) (*.f64 (pow.f64 x 3) -1/3))
(fma.f64 (pow.f64 x 3) -1/3 (*.f64 1/9 (pow.f64 x 4)))
(*.f64 (pow.f64 x 3) (+.f64 (*.f64 x 1/9) -1/3))
(+.f64 (*.f64 1/9 (pow.f64 x 4)) (+.f64 (*.f64 -1/27 (pow.f64 x 5)) (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 1/9 (pow.f64 x 4) (fma.f64 -1/27 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/3)))
(fma.f64 1/9 (pow.f64 x 4) (fma.f64 (pow.f64 x 3) -1/3 (*.f64 -1/27 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 1/9 (pow.f64 x 4) (*.f64 -1/27 (pow.f64 x 5))))
(fma.f64 -1/27 (pow.f64 x 5) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 x 1/9) -1/3)))
(+.f64 (*.f64 1/9 (pow.f64 x 4)) (+.f64 (*.f64 1/81 (pow.f64 x 6)) (+.f64 (*.f64 -1/27 (pow.f64 x 5)) (*.f64 -1/3 (pow.f64 x 3)))))
(fma.f64 1/9 (pow.f64 x 4) (fma.f64 1/81 (pow.f64 x 6) (fma.f64 -1/27 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/3))))
(fma.f64 1/9 (pow.f64 x 4) (fma.f64 1/81 (pow.f64 x 6) (fma.f64 (pow.f64 x 3) -1/3 (*.f64 -1/27 (pow.f64 x 5)))))
(fma.f64 1/9 (pow.f64 x 4) (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 1/81 (pow.f64 x 6) (*.f64 -1/27 (pow.f64 x 5)))))
(fma.f64 1/81 (pow.f64 x 6) (fma.f64 -1/27 (pow.f64 x 5) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 x 1/9) -1/3))))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 3 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 3 x (neg.f64 (*.f64 x x)))
(fma.f64 x 3 (*.f64 x (neg.f64 x)))
(*.f64 x (-.f64 3 x))
(-.f64 (+.f64 (*.f64 3 x) (*.f64 -1 (pow.f64 x 2))) 9)
(+.f64 (fma.f64 3 x (neg.f64 (*.f64 x x))) -9)
(fma.f64 x 3 (fma.f64 (*.f64 x x) -1 -9))
(+.f64 (*.f64 x (-.f64 3 x)) -9)
(fma.f64 x (-.f64 3 x) -9)
(-.f64 (+.f64 (*.f64 3 x) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 27 (/.f64 1 x)))) 9)
(+.f64 (fma.f64 3 x (fma.f64 -1 (*.f64 x x) (/.f64 27 x))) -9)
(+.f64 (fma.f64 x 3 (-.f64 (/.f64 27 x) (*.f64 x x))) -9)
(+.f64 (*.f64 x (-.f64 3 x)) (+.f64 (/.f64 27 x) -9))
(+.f64 (/.f64 27 x) (fma.f64 x (-.f64 3 x) -9))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 3 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 3 x (neg.f64 (*.f64 x x)))
(fma.f64 x 3 (*.f64 x (neg.f64 x)))
(*.f64 x (-.f64 3 x))
(-.f64 (+.f64 (*.f64 3 x) (*.f64 -1 (pow.f64 x 2))) 9)
(+.f64 (fma.f64 3 x (neg.f64 (*.f64 x x))) -9)
(fma.f64 x 3 (fma.f64 (*.f64 x x) -1 -9))
(+.f64 (*.f64 x (-.f64 3 x)) -9)
(fma.f64 x (-.f64 3 x) -9)
(-.f64 (+.f64 (*.f64 3 x) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 27 (/.f64 1 x)))) 9)
(+.f64 (fma.f64 3 x (fma.f64 -1 (*.f64 x x) (/.f64 27 x))) -9)
(+.f64 (fma.f64 x 3 (-.f64 (/.f64 27 x) (*.f64 x x))) -9)
(+.f64 (*.f64 x (-.f64 3 x)) (+.f64 (/.f64 27 x) -9))
(+.f64 (/.f64 27 x) (fma.f64 x (-.f64 3 x) -9))
(pow.f64 x 3)
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 3))
(fma.f64 -1/3 (pow.f64 x 4) (pow.f64 x 3))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 1/9 (pow.f64 x 5)) (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 1/9 (pow.f64 x 5) (pow.f64 x 3)))
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 1/9 (pow.f64 x 5)) (+.f64 (pow.f64 x 3) (*.f64 -1/27 (pow.f64 x 6)))))
(fma.f64 -1/3 (pow.f64 x 4) (+.f64 (fma.f64 1/9 (pow.f64 x 5) (pow.f64 x 3)) (*.f64 -1/27 (pow.f64 x 6))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 1/9 (pow.f64 x 5) (fma.f64 -1/27 (pow.f64 x 6) (pow.f64 x 3))))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 x (*.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -9 x))
(fma.f64 3 (*.f64 x x) (*.f64 x -9))
(fma.f64 x -9 (*.f64 3 (*.f64 x x)))
(*.f64 x (fma.f64 x 3 -9))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -9 x) 27))
(fma.f64 3 (*.f64 x x) (fma.f64 -9 x 27))
(fma.f64 3 (*.f64 x x) (fma.f64 x -9 27))
(+.f64 27 (*.f64 x (fma.f64 x 3 -9)))
(-.f64 (+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -9 x) 27)) (*.f64 81 (/.f64 1 x)))
(-.f64 (fma.f64 3 (*.f64 x x) (fma.f64 -9 x 27)) (/.f64 81 x))
(+.f64 (fma.f64 3 (*.f64 x x) (fma.f64 x -9 27)) (/.f64 -81 x))
(+.f64 (*.f64 x (fma.f64 x 3 -9)) (+.f64 27 (/.f64 -81 x)))
(+.f64 27 (fma.f64 x (fma.f64 x 3 -9) (/.f64 -81 x)))
(*.f64 3 (pow.f64 x 2))
(*.f64 3 (*.f64 x x))
(*.f64 x (*.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -9 x))
(fma.f64 3 (*.f64 x x) (*.f64 x -9))
(fma.f64 x -9 (*.f64 3 (*.f64 x x)))
(*.f64 x (fma.f64 x 3 -9))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -9 x) 27))
(fma.f64 3 (*.f64 x x) (fma.f64 -9 x 27))
(fma.f64 3 (*.f64 x x) (fma.f64 x -9 27))
(+.f64 27 (*.f64 x (fma.f64 x 3 -9)))
(-.f64 (+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -9 x) 27)) (*.f64 81 (/.f64 1 x)))
(-.f64 (fma.f64 3 (*.f64 x x) (fma.f64 -9 x 27)) (/.f64 81 x))
(+.f64 (fma.f64 3 (*.f64 x x) (fma.f64 x -9 27)) (/.f64 -81 x))
(+.f64 (*.f64 x (fma.f64 x 3 -9)) (+.f64 27 (/.f64 -81 x)))
(+.f64 27 (fma.f64 x (fma.f64 x 3 -9) (/.f64 -81 x)))
(*.f64 -1/3 (pow.f64 x 4))
(+.f64 (*.f64 1/9 (pow.f64 x 5)) (*.f64 -1/3 (pow.f64 x 4)))
(fma.f64 1/9 (pow.f64 x 5) (*.f64 -1/3 (pow.f64 x 4)))
(fma.f64 -1/3 (pow.f64 x 4) (*.f64 1/9 (pow.f64 x 5)))
(+.f64 (*.f64 1/9 (pow.f64 x 5)) (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (*.f64 -1/27 (pow.f64 x 6))))
(fma.f64 1/9 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 4) (*.f64 -1/27 (pow.f64 x 6))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/27 (pow.f64 x 6) (*.f64 1/9 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 1/9 (pow.f64 x 5) (*.f64 -1/27 (pow.f64 x 6))))
(+.f64 (*.f64 1/9 (pow.f64 x 5)) (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 1/81 (pow.f64 x 7)) (*.f64 -1/27 (pow.f64 x 6)))))
(fma.f64 1/9 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 4) (fma.f64 1/81 (pow.f64 x 7) (*.f64 -1/27 (pow.f64 x 6)))))
(fma.f64 1/9 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 4) (fma.f64 -1/27 (pow.f64 x 6) (*.f64 1/81 (pow.f64 x 7)))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 1/9 (pow.f64 x 5) (fma.f64 -1/27 (pow.f64 x 6) (*.f64 1/81 (pow.f64 x 7)))))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (neg.f64 (pow.f64 x 3)))
(-.f64 (*.f64 3 (*.f64 x x)) (pow.f64 x 3))
(*.f64 x (*.f64 x (-.f64 3 x)))
(*.f64 (*.f64 x x) (-.f64 3 x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 -9 x)))
(fma.f64 3 (*.f64 x x) (fma.f64 -1 (pow.f64 x 3) (*.f64 x -9)))
(fma.f64 3 (*.f64 x x) (-.f64 (*.f64 x -9) (pow.f64 x 3)))
(-.f64 (*.f64 x (fma.f64 x 3 -9)) (pow.f64 x 3))
(*.f64 x (fma.f64 x (-.f64 3 x) -9))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 27 (*.f64 -9 x))))
(fma.f64 3 (*.f64 x x) (fma.f64 -1 (pow.f64 x 3) (fma.f64 -9 x 27)))
(fma.f64 3 (*.f64 x x) (-.f64 (fma.f64 x -9 27) (pow.f64 x 3)))
(+.f64 (*.f64 x (fma.f64 x 3 -9)) (-.f64 27 (pow.f64 x 3)))
(+.f64 27 (*.f64 x (fma.f64 x (-.f64 3 x) -9)))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(+.f64 (*.f64 3 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 3)))
(fma.f64 3 (*.f64 x x) (neg.f64 (pow.f64 x 3)))
(-.f64 (*.f64 3 (*.f64 x x)) (pow.f64 x 3))
(*.f64 x (*.f64 x (-.f64 3 x)))
(*.f64 (*.f64 x x) (-.f64 3 x))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 -9 x)))
(fma.f64 3 (*.f64 x x) (fma.f64 -1 (pow.f64 x 3) (*.f64 x -9)))
(fma.f64 3 (*.f64 x x) (-.f64 (*.f64 x -9) (pow.f64 x 3)))
(-.f64 (*.f64 x (fma.f64 x 3 -9)) (pow.f64 x 3))
(*.f64 x (fma.f64 x (-.f64 3 x) -9))
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 27 (*.f64 -9 x))))
(fma.f64 3 (*.f64 x x) (fma.f64 -1 (pow.f64 x 3) (fma.f64 -9 x 27)))
(fma.f64 3 (*.f64 x x) (-.f64 (fma.f64 x -9 27) (pow.f64 x 3)))
(+.f64 (*.f64 x (fma.f64 x 3 -9)) (-.f64 27 (pow.f64 x 3)))
(+.f64 27 (*.f64 x (fma.f64 x (-.f64 3 x) -9)))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 -3 (/.f64 1 x))
✓0.1b
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite57.0ms (0.8%)

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 (0.8%)

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 (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 -3 (/.f64 1 x))
✓0.0b
(-.f64 x (/.f64 1 x))
✓0.3b
(/.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
@0
(-.f64 x (/.f64 1 x))
0.0ms
x
@-inf
(-.f64 x (/.f64 1 x))

rewrite114.0ms (1.6%)

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
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(+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (neg.f64 (/.f64 1 (cbrt.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 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 (cbrt.f64 (+.f64 x (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1 x))) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2) (cbrt.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 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1 x))) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 x -1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) (sqrt.f64 (+.f64 x (/.f64 -1 x))) (fma.f64 (/.f64 -1 x) 1 (/.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))) (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)))))

simplify51.0ms (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

eval817.0ms (11.5%)

Compiler

Compiled 22549 to 16505 computations (26.8% saved)

prune217.0ms (3%)

Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New8434847
Fresh112
Picked011
Done4610
Total84812860
Error
0b
Counts
860 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
34.7b
(/.f64 (-.f64 -3 (/.f64 1 x)) (/.f64 -1 x))
✓0.3b
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
✓29.7b
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
0.3b
(/.f64 (*.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 x (+.f64 x 1))) (+.f64 -1 x))
✓29.3b
(/.f64 -3 x)
✓34.5b
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1)))
✓34.7b
(-.f64 x -1)
✓29.7b
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
✓34.4b
(+.f64 (*.f64 3 x) 1)
0.4b
(*.f64 (/.f64 1 (+.f64 x (/.f64 -1 x))) (+.f64 -3 (/.f64 -1 x)))
62.3b
x
33.9b
1
Compiler

Compiled 98 to 74 computations (24.5% saved)

regimes55.0ms (0.8%)

Counts
26 → 1
Calls
Call 1
Inputs
1
1
1
x
(-.f64 x -1)
(/.f64 -3 x)
(+.f64 (*.f64 3 x) 1)
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1)))
(/.f64 (-.f64 -3 (/.f64 1 x)) (/.f64 -1 x))
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 x (/.f64 -1 x))) (+.f64 -3 (/.f64 -1 x)))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(-.f64 (*.f64 (/.f64 1 (+.f64 x 1)) x) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(/.f64 (*.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 x (+.f64 x 1))) (+.f64 -1 x))
(/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
(*.f64 (/.f64 1 (+.f64 x -1)) (*.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 x (+.f64 1 x))))
(/.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 x (*.f64 (/.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) x)) -3)) (*.f64 (/.f64 x (/.f64 (+.f64 -1 (/.f64 -3 x)) x)) x))
(/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) x) 1)) (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 (+.f64 x -1) (+.f64 x 1))))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
(-.f64 (/.f64 x (+.f64 x 1)) (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1))
(exp.f64 (log.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))
(fma.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))
Outputs
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
Calls

3 calls:

24.0ms
x
8.0ms
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
7.0ms
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
0.3b1(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 332 to 236 computations (28.9% saved)

regimes90.0ms (1.3%)

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

1 calls:

50.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 52 to 37 computations (28.8% saved)

bsearch71.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
38.0ms
0.0057372745632231605
410757.59405765316
32.0ms
-60.91409196165503
-0.4294392715494267
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes37.0ms (0.5%)

Counts
8 → 3
Calls
Call 1
Inputs
1
1
1
x
(-.f64 x -1)
(/.f64 -3 x)
(+.f64 (*.f64 3 x) 1)
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
Outputs
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
(+.f64 (*.f64 3 x) 1)
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
Calls

1 calls:

33.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 25 to 18 computations (28% saved)

bsearch67.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
33.0ms
0.0057372745632231605
410757.59405765316
34.0ms
-60.91409196165503
-0.4294392715494267
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes32.0ms (0.4%)

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

1 calls:

29.0ms
x
Results
ErrorSegmentsBranch
1.1b3x
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch49.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
0.0057372745632231605
410757.59405765316
30.0ms
-60.91409196165503
-0.4294392715494267
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes15.0ms (0.2%)

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

1 calls:

14.0ms
x
Results
ErrorSegmentsBranch
1.4b3x
Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch38.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
0.0057372745632231605
410757.59405765316
19.0ms
-60.91409196165503
-0.4294392715494267
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.1%)

Accuracy

Total -28.4b remaining (-83.7%)

Threshold costs -28.4b (-83.7%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
33.9b1x
Compiler

Compiled 10 to 7 computations (30% saved)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
6×+-commutative_binary64
4×sub-neg_binary64
2×*-commutative_binary64
1×distribute-neg-frac_binary64
1×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031152
141152
248152
350152
451152
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
(if (<=.f64 x -2143224077032201/35184372088832) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (if (<=.f64 x 6614627221773837/1152921504606846976) (+.f64 (*.f64 3 x) 1) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))))
(if (<=.f64 x -2143224077032201/35184372088832) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 6614627221773837/1152921504606846976) (+.f64 (*.f64 3 x) 1) (/.f64 (-.f64 -3 (/.f64 1 x)) x)))
(if (<=.f64 x -2143224077032201/35184372088832) (/.f64 -3 x) (if (<=.f64 x 6614627221773837/1152921504606846976) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x)))
(if (<=.f64 x -2143224077032201/35184372088832) (/.f64 -3 x) (if (<=.f64 x 6614627221773837/1152921504606846976) (-.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 -2143224077032201/35184372088832) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (if (<=.f64 x 6614627221773837/1152921504606846976) (+.f64 (*.f64 3 x) 1) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))))
(if (<=.f64 x -2143224077032201/35184372088832) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (if (<=.f64 x 6614627221773837/1152921504606846976) (+.f64 1 (*.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))))
(if (<=.f64 x -2143224077032201/35184372088832) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 6614627221773837/1152921504606846976) (+.f64 (*.f64 3 x) 1) (/.f64 (-.f64 -3 (/.f64 1 x)) x)))
(if (<=.f64 x -2143224077032201/35184372088832) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 6614627221773837/1152921504606846976) (+.f64 1 (*.f64 x 3)) (/.f64 (-.f64 -3 (/.f64 1 x)) x)))
(if (<=.f64 x -2143224077032201/35184372088832) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 6614627221773837/1152921504606846976) (+.f64 1 (*.f64 x 3)) (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))
(if (<=.f64 x -2143224077032201/35184372088832) (/.f64 -3 x) (if (<=.f64 x 6614627221773837/1152921504606846976) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x)))
(if (<=.f64 x -2143224077032201/35184372088832) (/.f64 -3 x) (if (<=.f64 x 6614627221773837/1152921504606846976) (+.f64 1 (*.f64 x 3)) (/.f64 -3 x)))
(if (<=.f64 x -2143224077032201/35184372088832) (/.f64 -3 x) (if (<=.f64 x 6614627221773837/1152921504606846976) (-.f64 x -1) (/.f64 -3 x)))
(if (<=.f64 x -2143224077032201/35184372088832) (/.f64 -3 x) (if (<=.f64 x 6614627221773837/1152921504606846976) (+.f64 x 1) (/.f64 -3 x)))
(if (<=.f64 x -2143224077032201/35184372088832) (/.f64 -3 x) (if (<=.f64 x 6614627221773837/1152921504606846976) (+.f64 1 x) (/.f64 -3 x)))
1
Compiler

Compiled 112 to 82 computations (26.8% saved)

soundness96.0ms (1.3%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
041424
1118390
2319389
3894388
42623377
Stop Event
1×node limit
Compiler

Compiled 28 to 24 computations (14.3% saved)

end151.0ms (2.1%)

Compiler

Compiled 107 to 77 computations (28% saved)

Profiling

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