Details

Time bar (total: 3.8s)

analyze60.0ms (1.6%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
37.5%37.5%62.4%0.1%0%0%0%6
51.6%50%46.8%0.1%3.1%0%0%7
62.3%59.3%35.9%0.1%4.7%0%0%8
72.3%67.1%25.8%0.1%7%0%0%9
79.1%72.6%19.1%0.1%8.2%0%0%10
85.1%76.9%13.5%0.1%9.6%0%0%11
89%79.8%9.9%0.1%10.2%0%0%12
Compiler

Compiled 12 to 9 computations (25% saved)

sample1.0s (26.4%)

Results
652.0ms6672×body256valid
170.0ms767×body1024valid
137.0ms813×body512valid
18.0ms198×body256infinite
1.0msbody2048valid
Bogosity

preprocess72.0ms (1.9%)

Algorithm
egg-herbie
Rules
1017×fma-def_binary64
740×unsub-neg_binary64
526×sub-neg_binary64
423×distribute-neg-in_binary64
374×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
11922
24222
313222
451216
5232516
6581116
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(+.f64 y (*.f64 (-.f64 1 y) (-.f64 1 x)))
Outputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) x)
(fma.f64 x y (-.f64 1 y))
(-.f64 (fma.f64 x y 1) y)
(fma.f64 y (+.f64 x -1) 1)
(+.f64 y (*.f64 (-.f64 1 y) (-.f64 1 x)))
(+.f64 y (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) y)
(fma.f64 x y (-.f64 1 x))
(-.f64 (fma.f64 x y 1) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify164.0ms (4.3%)

Algorithm
egg-herbie
Rules
850×unsub-neg_binary64
737×fma-def_binary64
388×sub-neg_binary64
382×distribute-neg-in_binary64
267×+-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0813
11611
23711
311311
44098
517738
641578
758148
865318
967948
1069528
1170508
1272138
1375998
1478128
1579648
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
Outputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) x)
(fma.f64 x y (-.f64 1 y))
(-.f64 (fma.f64 x y 1) y)

eval1.0ms (0%)

Compiler

Compiled 17 to 11 computations (35.3% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 (fma.f64 x y 1) y)
16.9b
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
Compiler

Compiled 19 to 13 computations (31.6% saved)

localize19.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 1 x) (-.f64 1 y))
1.1b
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
Compiler

Compiled 27 to 18 computations (33.3% saved)

series8.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

rewrite99.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
433×log-prod_binary64
394×prod-exp_binary64
356×fma-def_binary64
329×exp-prod_binary64
323×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
118021
2262021
Stop Event
node limit
Counts
2 → 144
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(*.f64 (-.f64 1 x) (-.f64 1 y))
Outputs
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(-.f64 1 (*.f64 x x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 x)) (*.f64 (log1p.f64 (neg.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (*.f64 (log1p.f64 (neg.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 y)) 1) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 y)) (*.f64 (log1p.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 y)) 1) (*.f64 (log1p.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 x) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 x) (*.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 y) (*.f64 (neg.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 y) (*.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) 1 (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) 1 (*.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 y) 1 (*.f64 (neg.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 y) 1 (*.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) (*.f64 (neg.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) (*.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) (cbrt.f64 (-.f64 1 y)) (*.f64 (neg.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) (cbrt.f64 (-.f64 1 y)) (*.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule 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(/.f64 1 (+.f64 1 (fma.f64 x x x))) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (fma.f64 x x x))) (*.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 y y)) (/.f64 1 (+.f64 1 y)) (*.f64 (neg.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 y y)) (/.f64 1 (+.f64 1 y)) (*.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x 1)) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x 1)) (*.f64 (-.f64 1 x) (neg.f64 y)))))))

simplify178.0ms (4.7%)

Algorithm
egg-herbie
Rules
837×unsub-neg_binary64
614×fma-neg_binary64
550×distribute-neg-in_binary64
499×sub-neg_binary64
452×associate--l-_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025667
163573
2163387
3446387
41496387
53795387
65351387
76675387
87052387
97218387
107276387
117351387
127932387
Stop Event
node limit
Counts
192 → 162
Calls
Call 1
Inputs
(-.f64 1 y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(*.f64 y x)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
1
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(-.f64 1 y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y)
(*.f64 -1 (*.f64 (-.f64 1 y) x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(*.f64 -1 (*.f64 (-.f64 1 y) x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
Outputs
(-.f64 1 y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y)
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y)
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y)
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (fma.f64 y x 1) y)
(*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)
(*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)
(*.f64 (-.f64 1 (-.f64 1 y)) x)
(*.f64 y x)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y)
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y)
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y)
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (fma.f64 y x 1) y)
(*.f64 y x)
(*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)
(*.f64 (-.f64 1 (-.f64 1 y)) x)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y)
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y)
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y)
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (fma.f64 y x 1) y)
1
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y)
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y)
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y)
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (fma.f64 y x 1) y)
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(neg.f64 (*.f64 y (-.f64 1 x)))
(*.f64 (-.f64 1 x) (neg.f64 y))
(-.f64 (*.f64 y x) y)
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y)
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y)
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y)
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (fma.f64 y x 1) y)
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(neg.f64 (*.f64 y (-.f64 1 x)))
(*.f64 (-.f64 1 x) (neg.f64 y))
(-.f64 (*.f64 y x) y)
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y)
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y)
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y)
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(fma.f64 y x (-.f64 1 y))
(-.f64 (fma.f64 y x 1) y)
(-.f64 1 y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(*.f64 -1 (*.f64 (-.f64 1 y) x))
(*.f64 (neg.f64 (-.f64 1 y)) x)
(*.f64 (-.f64 1 y) (neg.f64 x))
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(*.f64 -1 (*.f64 (-.f64 1 y) x))
(*.f64 (neg.f64 (-.f64 1 y)) x)
(*.f64 (-.f64 1 y) (neg.f64 x))
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(neg.f64 (*.f64 y (-.f64 1 x)))
(*.f64 (-.f64 1 x) (neg.f64 y))
(-.f64 (*.f64 y x) y)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(neg.f64 (*.f64 y (-.f64 1 x)))
(*.f64 (-.f64 1 x) (neg.f64 y))
(-.f64 (*.f64 y x) y)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y)
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y))
(*.f64 (-.f64 1 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))

localize12.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (fma.f64 x y 1) y)
Compiler

Compiled 15 to 8 computations (46.7% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(-.f64 (fma.f64 x y 1) y)
1.0ms
x
@0
(-.f64 (fma.f64 x y 1) y)
1.0ms
x
@-inf
(-.f64 (fma.f64 x y 1) y)
1.0ms
y
@0
(-.f64 (fma.f64 x y 1) y)
1.0ms
y
@inf
(-.f64 (fma.f64 x y 1) y)

rewrite66.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
672×pow1_binary64
624×add-log-exp_binary64
624×log1p-expm1-u_binary64
624×expm1-log1p-u_binary64
610×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11248
216378
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 (fma.f64 x y 1) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x y 1) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x y 1) y) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x y 1) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x y 1) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (+.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (fma.f64 x y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 x y 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x y 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 x y 1) y)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y 1) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y 1) y)) 2) (cbrt.f64 (-.f64 (fma.f64 x y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 x y 1) y)) (sqrt.f64 (-.f64 (fma.f64 x y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y (+.f64 y (fma.f64 x y 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y y)) (/.f64 1 (+.f64 y (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x y 1)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (fma.f64 x y 1)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y (+.f64 y (fma.f64 x y 1)))) (-.f64 (pow.f64 (fma.f64 x y 1) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (fma.f64 x y 1)) (-.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y (+.f64 y (fma.f64 x y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y y)) (+.f64 y (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y (+.f64 y (fma.f64 x y 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 y y))) (neg.f64 (+.f64 y (fma.f64 x y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x y 1) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (fma.f64 x y 1) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (fma.f64 x y 1) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (fma.f64 x y 1) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 x y 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x y 1) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 x y 1) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 x y 1) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 x y 1) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 x y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 x y 1) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 x y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 x y 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x y 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y 1)) 2) (cbrt.f64 (fma.f64 x y 1)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x y 1)) (sqrt.f64 (fma.f64 x y 1)) (neg.f64 y))))))

simplify35.0ms (0.9%)

Algorithm
egg-herbie
Rules
185×fma-def_binary64
162×fma-neg_binary64
31×sub-neg_binary64
25×unsub-neg_binary64
23×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017207
145171
2111171
3230171
4465171
5665171
6773171
7791171
Stop Event
saturated
Counts
61 → 47
Calls
Call 1
Inputs
(-.f64 1 y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(*.f64 y x)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(*.f64 y x)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
1
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(*.f64 y (-.f64 x 1))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
Outputs
(-.f64 1 y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
(*.f64 y x)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
(*.f64 y x)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
1
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)

eval115.0ms (3%)

Compiler

Compiled 3105 to 2003 computations (35.5% saved)

prune62.0ms (1.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2036209
Fresh000
Picked101
Done101
Total2056211
Error
0b
Counts
211 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
26.1b
(-.f64 (*.f64 y x) y)
26.1b
(*.f64 y (-.f64 x 1))
37.1b
1
44.9b
(*.f64 y x)
0.0b
(-.f64 (+.f64 1 (*.f64 y x)) y)
19.0b
(-.f64 1 y)
Compiler

Compiled 69 to 47 computations (31.9% saved)

localize12.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (+.f64 1 (*.f64 y x)) y)
Compiler

Compiled 20 to 9 computations (55% saved)

series5.0ms (0.1%)

Counts
1 → 15
Calls

6 calls:

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

rewrite76.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
893×pow1_binary64
833×log1p-expm1-u_binary64
833×expm1-log1p-u_binary64
832×add-log-exp_binary64
816×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
11548
222358
Stop Event
node limit
Counts
1 → 42
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 y x)) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (-.f64 (*.f64 y x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (+.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y x 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y x 1) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y x 1) y) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y x 1) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y x 1) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (fma.f64 y x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 y x 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 y x 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 y x 1) y)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x 1) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x 1) y)) 2) (cbrt.f64 (-.f64 (fma.f64 y x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 y x 1) y)) (sqrt.f64 (-.f64 (fma.f64 y x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y (+.f64 y (fma.f64 y x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y y)) (/.f64 1 (+.f64 y (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 y x 1)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (fma.f64 y x 1)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y (+.f64 y (fma.f64 y x 1)))) (-.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (fma.f64 y x 1)) (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y (+.f64 y (fma.f64 y x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y y)) (+.f64 y (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y (+.f64 y (fma.f64 y x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 y y))) (neg.f64 (+.f64 y (fma.f64 y x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 y x) y) 3)) (+.f64 1 (-.f64 (*.f64 (-.f64 (*.f64 y x) y) (-.f64 (*.f64 y x) y)) (-.f64 (*.f64 y x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 y x 1) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (fma.f64 y x 1) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (fma.f64 y x 1) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (-.f64 (*.f64 y x) y) (-.f64 (*.f64 y x) y))) (-.f64 1 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y x 1) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (fma.f64 y x 1) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 y x 1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 y x 1) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 y x 1) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 y x 1) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 y x 1) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 y x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 y x 1) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 y x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 y x 1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y x 1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2) (cbrt.f64 (fma.f64 y x 1)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y x 1)) (sqrt.f64 (fma.f64 y x 1)) (neg.f64 y))))))

simplify34.0ms (0.9%)

Algorithm
egg-herbie
Rules
199×fma-def_binary64
133×fma-neg_binary64
30×sub-neg_binary64
29×unsub-neg_binary64
24×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015117
13999
29899
321699
443499
563799
675399
778599
878699
Stop Event
saturated
Counts
57 → 51
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(*.f64 y (-.f64 x 1))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(-.f64 1 y)
(*.f64 y x)
(*.f64 y x)
Outputs
1
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(fma.f64 y x (neg.f64 y))
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 y (-.f64 x 1)))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(fma.f64 y x (neg.f64 y))
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))))
(+.f64 1 (*.f64 y (+.f64 x -1)))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 y x 1) y)
(-.f64 1 y)
(*.f64 y x)
(*.f64 y x)

localize5.0ms (0.1%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize5.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 y (-.f64 x 1))
Compiler

Compiled 13 to 8 computations (38.5% saved)

series5.0ms (0.1%)

Counts
1 → 12
Calls

6 calls:

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

rewrite63.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
599×pow1_binary64
556×add-log-exp_binary64
555×log1p-expm1-u_binary64
555×expm1-log1p-u_binary64
545×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11247
215437
Stop Event
node limit
Counts
1 → 17
Calls
Call 1
Inputs
(*.f64 y (-.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -1) y) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) y) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (+.f64 x -1))))))))

simplify37.0ms (1%)

Algorithm
egg-herbie
Rules
125×fma-def_binary64
76×fma-neg_binary64
29×cancel-sign-sub-inv_binary64
16×distribute-rgt-neg-in_binary64
15×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0774
11274
22274
32974
44474
57274
615574
730174
844574
947974
1048174
Stop Event
saturated
Counts
29 → 22
Calls
Call 1
Inputs
(*.f64 -1 y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
Outputs
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(*.f64 y (+.f64 -1 x))

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 y x) y)
Compiler

Compiled 12 to 4 computations (66.7% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

rewrite67.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
628×pow1_binary64
584×add-log-exp_binary64
584×log1p-expm1-u_binary64
584×expm1-log1p-u_binary64
571×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11117
215737
Stop Event
node limit
Counts
1 → 38
Calls
Call 1
Inputs
(-.f64 (*.f64 y x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) y) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 y x) y)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) y)) 2) (cbrt.f64 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 y x) y)) (sqrt.f64 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (fma.f64 y x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y)) (/.f64 1 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (fma.f64 y x y))) (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y x y) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (fma.f64 y x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y)) (fma.f64 y x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (fma.f64 y x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y))) (neg.f64 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (*.f64 y x) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (*.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 y x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 y x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 y x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 y x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 y))))))

simplify31.0ms (0.8%)

Algorithm
egg-herbie
Rules
82×fma-def_binary64
58×fma-neg_binary64
20×associate-*r*_binary64
18×unsub-neg_binary64
17×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014158
137158
288158
3180158
4299158
5396158
6424158
Stop Event
saturated
Counts
62 → 44
Calls
Call 1
Inputs
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 y (-.f64 x 1))
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 -1 y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
Outputs
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(-.f64 (*.f64 y x) y)

eval51.0ms (1.3%)

Compiler

Compiled 1296 to 630 computations (51.4% saved)

prune38.0ms (1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New1152117
Fresh101
Picked011
Done044
Total1167123
Error
0b
Counts
123 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
37.1b
1
44.4b
(neg.f64 y)
26.1b
(-.f64 (*.f64 y x) y)
26.1b
(*.f64 y (-.f64 x 1))
44.9b
(*.f64 y x)
0.0b
(-.f64 (+.f64 1 (*.f64 y x)) y)
19.0b
(-.f64 1 y)
Compiler

Compiled 40 to 28 computations (30% saved)

localize5.0ms (0.1%)

Compiler

Compiled 5 to 3 computations (40% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune5.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done055
Total077
Error
0b
Counts
7 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
37.1b
1
44.4b
(neg.f64 y)
26.1b
(-.f64 (*.f64 y x) y)
26.1b
(*.f64 y (-.f64 x 1))
44.9b
(*.f64 y x)
0.0b
(-.f64 (+.f64 1 (*.f64 y x)) y)
19.0b
(-.f64 1 y)
Compiler

Compiled 40 to 28 computations (30% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done066
Total077
Error
0b
Counts
7 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
37.1b
1
44.4b
(neg.f64 y)
26.1b
(-.f64 (*.f64 y x) y)
26.1b
(*.f64 y (-.f64 x 1))
44.9b
(*.f64 y x)
0.0b
(-.f64 (+.f64 1 (*.f64 y x)) y)
19.0b
(-.f64 1 y)
Compiler

Compiled 40 to 28 computations (30% saved)

regimes34.0ms (0.9%)

Counts
10 → 1
Calls
Call 1
Inputs
1
1
(neg.f64 y)
(*.f64 y x)
(-.f64 1 y)
(-.f64 (*.f64 y x) y)
(*.f64 y (-.f64 x 1))
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(-.f64 (fma.f64 x y 1) y)
Outputs
(-.f64 (+.f64 1 (*.f64 y x)) y)
Calls

6 calls:

7.0ms
x
7.0ms
y
5.0ms
(-.f64 1 y)
4.0ms
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
4.0ms
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
0.0b1(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
0.0b1(-.f64 1 y)
0.0b1(-.f64 1 y)
Compiler

Compiled 82 to 52 computations (36.6% saved)

regimes64.0ms (1.7%)

Counts
7 → 5
Calls
Call 1
Inputs
1
1
(neg.f64 y)
(*.f64 y x)
(-.f64 1 y)
(-.f64 (*.f64 y x) y)
(*.f64 y (-.f64 x 1))
Outputs
(*.f64 y x)
(-.f64 1 y)
(*.f64 y (-.f64 x 1))
(-.f64 1 y)
(-.f64 (*.f64 y x) y)
Calls

4 calls:

29.0ms
x
14.0ms
y
10.0ms
(-.f64 1 y)
10.0ms
(-.f64 1 y)
Results
ErrorSegmentsBranch
8.0b5x
8.1b3y
8.3b3(-.f64 1 y)
8.3b3(-.f64 1 y)
Compiler

Compiled 38 to 24 computations (36.8% saved)

bsearch144.0ms (3.8%)

Algorithm
binary-search
Steps
TimeLeftRight
27.0ms
14923001106.50212
2219940684205018.5
28.0ms
-2.1018189890662494e-10
-2.5165967369155253e-11
28.0ms
-1575091921097.4602
-2078038971.289947
61.0ms
-1.8621646008551854e+164
-1.336924835318039e+162
Compiler

Compiled 100 to 75 computations (25% saved)

regimes103.0ms (2.7%)

Counts
6 → 5
Calls
Call 1
Inputs
1
1
(neg.f64 y)
(*.f64 y x)
(-.f64 1 y)
(-.f64 (*.f64 y x) y)
Outputs
(*.f64 y x)
(-.f64 1 y)
(-.f64 (*.f64 y x) y)
(-.f64 1 y)
(-.f64 (*.f64 y x) y)
Calls

4 calls:

44.0ms
x
23.0ms
y
16.0ms
(-.f64 1 y)
16.0ms
(-.f64 1 y)
Results
ErrorSegmentsBranch
8.0b5x
8.1b3y
8.3b3(-.f64 1 y)
8.3b3(-.f64 1 y)
Compiler

Compiled 33 to 21 computations (36.4% saved)

bsearch154.0ms (4%)

Algorithm
binary-search
Steps
TimeLeftRight
27.0ms
14923001106.50212
2219940684205018.5
27.0ms
-2.1018189890662494e-10
-2.5165967369155253e-11
27.0ms
-1575091921097.4602
-2078038971.289947
73.0ms
-1.8621646008551854e+164
-1.336924835318039e+162
Compiler

Compiled 100 to 75 computations (25% saved)

regimes83.0ms (2.2%)

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

4 calls:

29.0ms
x
21.0ms
y
17.0ms
(-.f64 1 y)
15.0ms
(-.f64 1 y)
Results
ErrorSegmentsBranch
9.1b3x
17.5b3y
17.7b3(-.f64 1 y)
17.7b3(-.f64 1 y)
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch102.0ms (2.7%)

Algorithm
binary-search
Steps
TimeLeftRight
27.0ms
14923001106.50212
2219940684205018.5
75.0ms
-1.8621646008551854e+164
-1.336924835318039e+162
Compiler

Compiled 100 to 75 computations (25% saved)

regimes70.0ms (1.8%)

Counts
4 → 4
Calls
Call 1
Inputs
1
1
(neg.f64 y)
(*.f64 y x)
Outputs
(neg.f64 y)
1
(*.f64 y x)
(neg.f64 y)
Calls

2 calls:

37.0ms
x
31.0ms
y
Results
ErrorSegmentsBranch
21.5b6x
17.6b4y
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch81.0ms (2.1%)

Algorithm
binary-search
Steps
TimeLeftRight
27.0ms
1.397640937759495e+44
4.627902717064825e+45
27.0ms
9.370400178375818e-27
1.2409757995855188e-19
26.0ms
-247756747.24193823
-2660.3964282327247
Compiler

Compiled 16 to 12 computations (25% saved)

regimes47.0ms (1.2%)

Counts
3 → 3
Calls
Call 1
Inputs
1
1
(neg.f64 y)
Outputs
(neg.f64 y)
1
(neg.f64 y)
Calls

2 calls:

28.0ms
x
17.0ms
y
Results
ErrorSegmentsBranch
30.5b5x
19.6b3y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch54.0ms (1.4%)

Algorithm
binary-search
Steps
TimeLeftRight
27.0ms
122.08180162687465
8314.322581520504
27.0ms
-247756747.24193823
-2660.3964282327247
Compiler

Compiled 16 to 12 computations (25% saved)

regimes13.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

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

2 calls:

6.0ms
x
5.0ms
y
Results
ErrorSegmentsBranch
37.1b1x
37.1b1y
Compiler

Compiled 10 to 8 computations (20% saved)

simplify17.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
043183
156183
262183
363183
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 y x)) y)
(if (<=.f64 x -179999999999999995206330165908103633830605655315418831540759553043944371558379153761475310556407740974668895405972515275898409813544320570314792376908687559505215488) (*.f64 y x) (if (<=.f64 x -6451576508815197/4096) (-.f64 1 y) (if (<=.f64 x -4065509190461611/19342813113834066795298816) (*.f64 y (-.f64 x 1)) (if (<=.f64 x 7823950404125783/524288) (-.f64 1 y) (-.f64 (*.f64 y x) y)))))
(if (<=.f64 x -179999999999999995206330165908103633830605655315418831540759553043944371558379153761475310556407740974668895405972515275898409813544320570314792376908687559505215488) (*.f64 y x) (if (<=.f64 x -6451576508815197/4096) (-.f64 1 y) (if (<=.f64 x -4065509190461611/19342813113834066795298816) (-.f64 (*.f64 y x) y) (if (<=.f64 x 7823950404125783/524288) (-.f64 1 y) (-.f64 (*.f64 y x) y)))))
(if (<=.f64 x -179999999999999995206330165908103633830605655315418831540759553043944371558379153761475310556407740974668895405972515275898409813544320570314792376908687559505215488) (*.f64 y x) (if (<=.f64 x 7823950404125783/524288) (-.f64 1 y) (*.f64 y x)))
(if (<=.f64 y -2078334231967701/8388608) (neg.f64 y) (if (<=.f64 y 1632553959267383/174224571863520493293247799005065324265472) 1 (if (<=.f64 y 139764093775949502216545089299170413024116736) (*.f64 y x) (neg.f64 y))))
(if (<=.f64 y -2078334231967701/8388608) (neg.f64 y) (if (<=.f64 y 8590743067429867/70368744177664) 1 (neg.f64 y)))
1
Outputs
(-.f64 (+.f64 1 (*.f64 y x)) y)
(if (<=.f64 x -179999999999999995206330165908103633830605655315418831540759553043944371558379153761475310556407740974668895405972515275898409813544320570314792376908687559505215488) (*.f64 y x) (if (<=.f64 x -6451576508815197/4096) (-.f64 1 y) (if (<=.f64 x -4065509190461611/19342813113834066795298816) (*.f64 y (-.f64 x 1)) (if (<=.f64 x 7823950404125783/524288) (-.f64 1 y) (-.f64 (*.f64 y x) y)))))
(if (<=.f64 x -179999999999999995206330165908103633830605655315418831540759553043944371558379153761475310556407740974668895405972515275898409813544320570314792376908687559505215488) (*.f64 y x) (if (<=.f64 x -6451576508815197/4096) (-.f64 1 y) (if (<=.f64 x -4065509190461611/19342813113834066795298816) (*.f64 y (+.f64 x -1)) (if (<=.f64 x 7823950404125783/524288) (-.f64 1 y) (-.f64 (*.f64 y x) y)))))
(if (<=.f64 x -179999999999999995206330165908103633830605655315418831540759553043944371558379153761475310556407740974668895405972515275898409813544320570314792376908687559505215488) (*.f64 y x) (if (<=.f64 x -6451576508815197/4096) (-.f64 1 y) (if (<=.f64 x -4065509190461611/19342813113834066795298816) (-.f64 (*.f64 y x) y) (if (<=.f64 x 7823950404125783/524288) (-.f64 1 y) (-.f64 (*.f64 y x) y)))))
(if (<=.f64 x -179999999999999995206330165908103633830605655315418831540759553043944371558379153761475310556407740974668895405972515275898409813544320570314792376908687559505215488) (*.f64 y x) (if (<=.f64 x 7823950404125783/524288) (-.f64 1 y) (*.f64 y x)))
(if (<=.f64 y -2078334231967701/8388608) (neg.f64 y) (if (<=.f64 y 1632553959267383/174224571863520493293247799005065324265472) 1 (if (<=.f64 y 139764093775949502216545089299170413024116736) (*.f64 y x) (neg.f64 y))))
(if (<=.f64 y -2078334231967701/8388608) (neg.f64 y) (if (<=.f64 y 8590743067429867/70368744177664) 1 (neg.f64 y)))
1
Compiler

Compiled 142 to 87 computations (38.7% saved)

soundness341.0ms (9%)

Algorithm
egg-herbie
Rules
850×unsub-neg_binary64
737×fma-def_binary64
388×sub-neg_binary64
382×distribute-neg-in_binary64
267×+-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0813
11611
23711
311311
44098
517738
641578
758148
865318
967948
1069528
1170508
1272138
1375998
1478128
1579648
Stop Event
node limit
Compiler

Compiled 383 to 286 computations (25.3% saved)

end129.0ms (3.4%)

Compiler

Compiled 130 to 69 computations (46.9% saved)

Profiling

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