Details

Time bar (total: 2.0s)

analyze58.0ms (2.9%)

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)

sample876.0ms (43.3%)

Results
580.0ms6713×body256valid
147.0ms714×body1024valid
117.0ms823×body512valid
16.0ms199×body256infinite
1.0msbody2048valid
Bogosity

preprocess48.0ms (2.4%)

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)

simplify127.0ms (6.3%)

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 → 4
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 31 to 19 computations (38.7% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New224
Fresh011
Picked000
Done000
Total235
Error
0b
Counts
5 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(fma.f64 x y (-.f64 1 y))
16.7b
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
Compiler

Compiled 19 to 13 computations (31.6% saved)

localize10.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 1 x) (-.f64 1 y))
3.3b
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
Compiler

Compiled 27 to 18 computations (33.3% saved)

series11.0ms (0.6%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
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)))
Compiler

Compiled 586 to 468 computations (20.1% saved)

rewrite60.0ms (3%)

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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simplify66.0ms (3.2%)

Algorithm
egg-herbie
Rules
608×times-frac_binary64
433×associate-/l*_binary64
394×unswap-sqr_binary64
249×associate-/r*_binary64
248×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03383154
18792936
225462892
Stop Event
node limit
Counts
192 → 205
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)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))) (/.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))))
(*.f64 1 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))
(*.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x) 1)
(*.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) 2) (cbrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) (sqrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x) (*.f64 x x))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2)) (/.f64 1 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)) (fma.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (-.f64 1 x)) (-.f64 1 y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2)) (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))) (neg.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2))) (neg.f64 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) (*.f64 x x)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x))
(pow.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x) 1)
(pow.f64 (E.f64) (log.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))
(pow.f64 (pow.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))) -1)
(pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))) (sqrt.f64 (log.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x) 2))
(log.f64 (exp.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 y))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))) (exp.f64 x)))
(log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 y)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) 1) 1))
(fma.f64 x 1 (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 1 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 1 (*.f64 (-.f64 1 x) (-.f64 1 y)) x)
(fma.f64 (-.f64 1 x) (-.f64 1 y) x)
(fma.f64 (-.f64 1 y) (-.f64 1 x) x)
(fma.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 1 x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) (*.f64 (cbrt.f64 (-.f64 1 y)) (-.f64 1 x)) x)
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) 2) (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (-.f64 1 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (sqrt.f64 (-.f64 1 y)) (*.f64 (sqrt.f64 (-.f64 1 y)) (-.f64 1 x)) x)
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) x)
(fma.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 1 y)) x)
(fma.f64 (*.f64 (-.f64 1 x) (cbrt.f64 (pow.f64 (-.f64 1 y) 2))) (cbrt.f64 (-.f64 1 y)) x)
(fma.f64 (*.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)) x)
(fma.f64 (*.f64 (-.f64 1 y) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)) x)
(fma.f64 (*.f64 (-.f64 1 y) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) x)
(+.f64 (-.f64 1 x) (*.f64 (neg.f64 y) (-.f64 1 x)))
(+.f64 (-.f64 1 x) (*.f64 (-.f64 1 x) (neg.f64 y)))
(+.f64 (-.f64 1 y) (*.f64 (neg.f64 x) (-.f64 1 y)))
(+.f64 (-.f64 1 y) (*.f64 (-.f64 1 y) (neg.f64 x)))
(+.f64 0 (*.f64 (-.f64 1 x) (-.f64 1 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))) 1)
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 1 (pow.f64 y 3))) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (fma.f64 y y y))))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 y 3))) (*.f64 (+.f64 x 1) (+.f64 1 (fma.f64 y y y))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 1 (*.f64 y y))) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 y)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 y y))) (*.f64 (+.f64 x 1) (+.f64 1 y)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) (-.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 1 (fma.f64 y y y)) (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 1 y) (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) (-.f64 1 (*.f64 x x))) (*.f64 (+.f64 1 (fma.f64 y y y)) (+.f64 x 1)))
(/.f64 (*.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 (*.f64 x x))) (*.f64 (+.f64 1 y) (+.f64 x 1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 1 y)) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 y)) (+.f64 x 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) (-.f64 1 x)) (+.f64 1 (fma.f64 y y y)))
(/.f64 (*.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 x)) (+.f64 1 y))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) (+.f64 1 y))
(/.f64 (*.f64 (-.f64 1 y) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 (-.f64 1 y) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 1)
(pow.f64 (E.f64) (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))))
(pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) 2)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3) 1/3)
(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)))))
(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)))))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))))
(exp.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)) 1/3))
(exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))) 3) 1/3))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (log1p.f64 (neg.f64 y))))
(exp.f64 (+.f64 (log1p.f64 (neg.f64 x)) (*.f64 (log1p.f64 (neg.f64 y)) 1)))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (*.f64 (log1p.f64 (neg.f64 y)) 1)))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 y)) 1) (log1p.f64 (neg.f64 x))))
(exp.f64 (+.f64 (log1p.f64 (neg.f64 y)) (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 y)) 1) (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(fma.f64 1 (-.f64 1 x) (*.f64 (neg.f64 y) (-.f64 1 x)))
(fma.f64 1 (-.f64 1 x) (*.f64 (-.f64 1 x) (neg.f64 y)))
(fma.f64 1 (-.f64 1 y) (*.f64 (neg.f64 x) (-.f64 1 y)))
(fma.f64 1 (-.f64 1 y) (*.f64 (-.f64 1 y) (neg.f64 x)))
(fma.f64 (-.f64 1 x) 1 (*.f64 (neg.f64 y) (-.f64 1 x)))
(fma.f64 (-.f64 1 x) 1 (*.f64 (-.f64 1 x) (neg.f64 y)))
(fma.f64 (-.f64 1 y) 1 (*.f64 (neg.f64 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 y) 1 (*.f64 (-.f64 1 y) (neg.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) (*.f64 (neg.f64 x) (-.f64 1 y)))
(fma.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) (*.f64 (-.f64 1 y) (neg.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) (cbrt.f64 (-.f64 1 y)) (*.f64 (neg.f64 x) (-.f64 1 y)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) (cbrt.f64 (-.f64 1 y)) (*.f64 (-.f64 1 y) (neg.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (neg.f64 y) (-.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (-.f64 1 x) (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 y) (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 (-.f64 1 x) (neg.f64 y)))
(fma.f64 (sqrt.f64 (-.f64 1 y)) (sqrt.f64 (-.f64 1 y)) (*.f64 (neg.f64 x) (-.f64 1 y)))
(fma.f64 (sqrt.f64 (-.f64 1 y)) (sqrt.f64 (-.f64 1 y)) (*.f64 (-.f64 1 y) (neg.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 y) (-.f64 1 x)))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 (-.f64 1 x) (neg.f64 y)))
(fma.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 1 (+.f64 1 (fma.f64 y y y))) (*.f64 (neg.f64 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 1 (+.f64 1 (fma.f64 y y y))) (*.f64 (-.f64 1 y) (neg.f64 x)))
(fma.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (fma.f64 x x x))) (*.f64 (neg.f64 y) (-.f64 1 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)))
(fma.f64 (-.f64 1 (*.f64 y y)) (/.f64 1 (+.f64 1 y)) (*.f64 (neg.f64 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 (*.f64 y y)) (/.f64 1 (+.f64 1 y)) (*.f64 (-.f64 1 y) (neg.f64 x)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x 1)) (*.f64 (neg.f64 y) (-.f64 1 x)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x 1)) (*.f64 (-.f64 1 x) (neg.f64 y)))
Outputs
(-.f64 1 y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(-.f64 (fma.f64 (+.f64 1 (+.f64 y -1)) x 1) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(-.f64 (fma.f64 (+.f64 1 (+.f64 y -1)) x 1) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(-.f64 (fma.f64 (+.f64 1 (+.f64 y -1)) 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 x (*.f64 (+.f64 y -1) x))
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(-.f64 (fma.f64 (+.f64 1 (+.f64 y -1)) x 1) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(-.f64 (fma.f64 (+.f64 1 (+.f64 y -1)) x 1) y)
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y)
(+.f64 1 (-.f64 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) y))
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y)
(-.f64 (fma.f64 (+.f64 1 (+.f64 y -1)) 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 -1 (*.f64 y (-.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 x))))
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(*.f64 (-.f64 1 x) (neg.f64 y))
(*.f64 y (neg.f64 (-.f64 1 x)))
(-.f64 (*.f64 y x) y)
(+.f64 1 (*.f64 -1 (*.f64 y (-.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 x))))
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(*.f64 (-.f64 1 x) (neg.f64 y))
(*.f64 y (neg.f64 (-.f64 1 x)))
(-.f64 (*.f64 y x) y)
(+.f64 1 (*.f64 -1 (*.f64 y (-.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 x))))
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x))))
(+.f64 1 (-.f64 (*.f64 y x) y))
(-.f64 (fma.f64 y x 1) y)
(-.f64 1 y)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y)
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y)
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y)
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(*.f64 -1 (*.f64 (-.f64 1 y) x))
(*.f64 (-.f64 1 y) (neg.f64 x))
(*.f64 (+.f64 y -1) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(*.f64 -1 (*.f64 (-.f64 1 y) x))
(*.f64 (-.f64 1 y) (neg.f64 x))
(*.f64 (+.f64 y -1) x)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y)
(*.f64 (+.f64 (neg.f64 x) 1) (-.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 (+.f64 (neg.f64 x) 1) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(*.f64 -1 (*.f64 y (-.f64 1 x)))
(*.f64 (-.f64 1 x) (neg.f64 y))
(*.f64 y (neg.f64 (-.f64 1 x)))
(-.f64 (*.f64 y x) y)
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
(*.f64 (+.f64 (neg.f64 x) 1) (-.f64 1 y))
(*.f64 (-.f64 1 y) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x)
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(-.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) 1) (+.f64 1 (fma.f64 x x x))) (*.f64 y (-.f64 1 x)))
(+.f64 (-.f64 (*.f64 y x) y) (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))))
(fma.f64 (-.f64 1 (*.f64 y y)) (/.f64 1 (+.f64 1 y)) (*.f64 (neg.f64 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 (*.f64 y y)) (/.f64 1 (+.f64 1 y)) (*.f64 (-.f64 1 y) (neg.f64 x)))
(-.f64 (*.f64 (-.f64 1 (*.f64 y y)) (/.f64 1 (+.f64 1 y))) (*.f64 (-.f64 1 y) x))
(+.f64 (*.f64 (+.f64 y -1) x) (/.f64 (-.f64 1 (*.f64 y y)) (+.f64 1 y)))
(fma.f64 (-.f64 1 (*.f64 y y)) (/.f64 1 (+.f64 1 y)) (*.f64 (-.f64 1 y) (neg.f64 x)))
(-.f64 (*.f64 (-.f64 1 (*.f64 y y)) (/.f64 1 (+.f64 1 y))) (*.f64 (-.f64 1 y) x))
(+.f64 (*.f64 (+.f64 y -1) x) (/.f64 (-.f64 1 (*.f64 y y)) (+.f64 1 y)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x 1)) (*.f64 (neg.f64 y) (-.f64 1 x)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 1 x)) (*.f64 (-.f64 1 x) (neg.f64 y)))
(-.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 1 x))) (*.f64 y (-.f64 1 x)))
(+.f64 (-.f64 (*.f64 y x) y) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x 1)) (*.f64 (-.f64 1 x) (neg.f64 y)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 1 x)) (*.f64 (-.f64 1 x) (neg.f64 y)))
(-.f64 (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 1 x))) (*.f64 y (-.f64 1 x)))
(+.f64 (-.f64 (*.f64 y x) y) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 x)))

localize6.0ms (0.3%)

Compiler

Compiled 14 to 8 computations (42.9% saved)

eval60.0ms (3%)

Compiler

Compiled 3303 to 2155 computations (34.8% saved)

prune30.0ms (1.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2005205
Fresh000
Picked101
Done101
Total2025207
Error
0b
Counts
207 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(-.f64 (+.f64 1 (*.f64 y x)) y)
28.6b
(-.f64 (*.f64 y x) y)
18.0b
(-.f64 1 y)
45.1b
(*.f64 y x)
34.4b
1
Compiler

Compiled 29 to 20 computations (31% saved)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (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)

series5.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

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

Compiled 220 to 164 computations (25.5% saved)

rewrite42.0ms (2.1%)

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))))))

simplify45.0ms (2.2%)

Algorithm
egg-herbie
Rules
766×fma-neg_binary64
406×fma-def_binary64
269×distribute-rgt-neg-in_binary64
212×distribute-lft-neg-in_binary64
205×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0104644
1280604
21011604
34491554
Stop Event
node limit
Counts
62 → 48
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))
(+.f64 (*.f64 y x) (neg.f64 y))
(+.f64 (*.f64 y x) (*.f64 (neg.f64 y) 1))
(+.f64 (-.f64 (*.f64 y x) y) (fma.f64 (neg.f64 y) 1 y))
(+.f64 (-.f64 (*.f64 y x) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))
(+.f64 (-.f64 (*.f64 y x) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(+.f64 (neg.f64 y) (*.f64 y x))
(*.f64 y (-.f64 x 1))
(*.f64 (-.f64 (*.f64 y x) y) 1)
(*.f64 1 (-.f64 (*.f64 y x) y))
(*.f64 (cbrt.f64 (-.f64 (*.f64 y x) y)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) y)) 2) (cbrt.f64 (-.f64 (*.f64 y x) y)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 y x) y)) (sqrt.f64 (-.f64 (*.f64 y x) y)))
(*.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)))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y)) (/.f64 1 (fma.f64 y x y)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 y)))
(/.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))))
(/.f64 1 (/.f64 (fma.f64 y x y) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y))))
(/.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))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y)) (fma.f64 y x y))
(/.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)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y))) (neg.f64 (fma.f64 y x y)))
(/.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)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (*.f64 y x) (neg.f64 y)))
(pow.f64 (-.f64 (*.f64 y x) y) 1)
(pow.f64 (pow.f64 (-.f64 (*.f64 y x) y) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) y)) 3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 y x) y)) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 y x) y) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 y x) y)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) y) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 y x) y)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 y x) y)))
(exp.f64 (log.f64 (-.f64 (*.f64 y x) y)))
(fma.f64 y x (neg.f64 y))
(fma.f64 x y (neg.f64 y))
(fma.f64 1 (*.f64 y x) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 y))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 y))
Outputs
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(*.f64 y x)
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(+.f64 (*.f64 y x) (*.f64 -1 y))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(+.f64 (*.f64 y x) (neg.f64 y))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(+.f64 (*.f64 y x) (*.f64 (neg.f64 y) 1))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(+.f64 (-.f64 (*.f64 y x) y) (fma.f64 (neg.f64 y) 1 y))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(+.f64 (-.f64 (*.f64 y x) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(+.f64 (-.f64 (*.f64 y x) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(+.f64 (neg.f64 y) (*.f64 y x))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(*.f64 y (-.f64 x 1))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(*.f64 (-.f64 (*.f64 y x) y) 1)
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(*.f64 1 (-.f64 (*.f64 y x) y))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(*.f64 (cbrt.f64 (-.f64 (*.f64 y x) y)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) y)) 2))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) y)) 2) (cbrt.f64 (-.f64 (*.f64 y x) y)))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(*.f64 (sqrt.f64 (-.f64 (*.f64 y x) y)) (sqrt.f64 (-.f64 (*.f64 y x) y)))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(*.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)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (fma.f64 y x y))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) (fma.f64 y y (*.f64 (*.f64 y x) (fma.f64 y x y))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y)) (/.f64 1 (fma.f64 y x y)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y)) (fma.f64 y x y))
(/.f64 (-.f64 y (*.f64 y x)) -1)
(*.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 y)))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(/.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))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (fma.f64 y x y))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) (fma.f64 y y (*.f64 (*.f64 y x) (fma.f64 y x y))))
(/.f64 1 (/.f64 (fma.f64 y x y) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y)) (/.f64 1 (fma.f64 y x y)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y)) (fma.f64 y x y))
(/.f64 (-.f64 y (*.f64 y x)) -1)
(/.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))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (fma.f64 y x y))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) (fma.f64 y y (*.f64 (*.f64 y x) (fma.f64 y x y))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y)) (fma.f64 y x y))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y)) (/.f64 1 (fma.f64 y x y)))
(/.f64 (-.f64 y (*.f64 y x)) -1)
(/.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)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (fma.f64 y x y))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) (fma.f64 y y (*.f64 (*.f64 y x) (fma.f64 y x y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y))) (neg.f64 (fma.f64 y x y)))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y)) (/.f64 1 (fma.f64 y x y)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y)) (fma.f64 y x y))
(/.f64 (-.f64 y (*.f64 y x)) -1)
(/.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)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) 1) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (fma.f64 y x y))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) (fma.f64 y y (*.f64 (*.f64 y x) (fma.f64 y x y))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (*.f64 y x) (neg.f64 y)))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y)) (/.f64 1 (fma.f64 y x y)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y)) (fma.f64 y x y))
(/.f64 (-.f64 y (*.f64 y x)) -1)
(pow.f64 (-.f64 (*.f64 y x) y) 1)
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(pow.f64 (pow.f64 (-.f64 (*.f64 y x) y) 3) 1/3)
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) y)) 3)
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 y x) y)) 2)
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 y x) y) 2))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(log.f64 (exp.f64 (-.f64 (*.f64 y x) y)))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) y) 3))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 y x) y)))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 y x) y)))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(exp.f64 (log.f64 (-.f64 (*.f64 y x) y)))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(fma.f64 y x (neg.f64 y))
(*.f64 y (+.f64 x -1))
(fma.f64 x y (neg.f64 y))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(fma.f64 1 (*.f64 y x) (neg.f64 y))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 y))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 y))
(*.f64 y (+.f64 x -1))
(fma.f64 y x (neg.f64 y))

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 9 computations (55% saved)

series5.0ms (0.3%)

Counts
1 → 6
Calls

6 calls:

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

Compiled 176 to 132 computations (25% saved)

rewrite39.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
602×pow1_binary64
558×add-log-exp_binary64
558×log1p-expm1-u_binary64
558×expm1-log1p-u_binary64
547×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067
11215
215155
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(+.f64 1 (*.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) 2) (-.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x 1)) (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2) (cbrt.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x 1)) (sqrt.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2)) (/.f64 1 (-.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x))) (+.f64 1 (pow.f64 (*.f64 y x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (*.f64 y x)) (-.f64 1 (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2)) (-.f64 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2))) (neg.f64 (-.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) 1) (-.f64 (*.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) 1)))))

simplify37.0ms (1.8%)

Algorithm
egg-herbie
Rules
608×distribute-rgt-in_binary64
588×fma-neg_binary64
561×distribute-lft-in_binary64
380×cancel-sign-sub-inv_binary64
357×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
072515
1178430
2591358
33369294
Stop Event
node limit
Counts
38 → 41
Calls
Call 1
Inputs
1
(*.f64 y x)
(*.f64 y x)
1
(*.f64 y x)
(*.f64 y x)
(-.f64 (+.f64 1 (fma.f64 y x 1)) 1)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) 2) (-.f64 1 (*.f64 y x))))
(*.f64 1 (fma.f64 y x 1))
(*.f64 (fma.f64 y x 1) 1)
(*.f64 (cbrt.f64 (fma.f64 y x 1)) (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2) (cbrt.f64 (fma.f64 y x 1)))
(*.f64 (sqrt.f64 (fma.f64 y x 1)) (sqrt.f64 (fma.f64 y x 1)))
(*.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x)))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2)) (/.f64 1 (-.f64 1 (*.f64 y x))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x))) (+.f64 1 (pow.f64 (*.f64 y x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 y x)) (-.f64 1 (pow.f64 (*.f64 y x) 2))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 1 (*.f64 y x))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2)) (-.f64 1 (*.f64 y x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2))) (neg.f64 (-.f64 1 (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) 1) (-.f64 (*.f64 y x) 1))
(pow.f64 (fma.f64 y x 1) 1)
(pow.f64 (pow.f64 (fma.f64 y x 1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 y x 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 y x 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 y x 1) 2))
(log.f64 (exp.f64 (fma.f64 y x 1)))
(cbrt.f64 (pow.f64 (fma.f64 y x 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 y x 1)))
(log1p.f64 (expm1.f64 (fma.f64 y x 1)))
(exp.f64 (log1p.f64 (*.f64 y x)))
(fma.f64 1 (*.f64 y x) 1)
(fma.f64 y x 1)
(fma.f64 x y 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) 1)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) 1)
Outputs
1
(*.f64 y x)
(*.f64 y x)
1
(*.f64 y x)
(*.f64 y x)
(-.f64 (+.f64 1 (fma.f64 y x 1)) 1)
(+.f64 1 (-.f64 (fma.f64 y x 1) 1))
(+.f64 (fma.f64 y x 1) 0)
(fma.f64 y x 1)
(-.f64 (/.f64 1 (-.f64 1 (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) 2) (-.f64 1 (*.f64 y x))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2)) (-.f64 1 (*.f64 y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) -1) (fma.f64 y x -1))
(/.f64 (fma.f64 y x 1) 1)
(*.f64 1 (fma.f64 y x 1))
(+.f64 1 (-.f64 (fma.f64 y x 1) 1))
(+.f64 (fma.f64 y x 1) 0)
(fma.f64 y x 1)
(*.f64 (fma.f64 y x 1) 1)
(+.f64 1 (-.f64 (fma.f64 y x 1) 1))
(+.f64 (fma.f64 y x 1) 0)
(fma.f64 y x 1)
(*.f64 (cbrt.f64 (fma.f64 y x 1)) (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2))
(+.f64 1 (-.f64 (fma.f64 y x 1) 1))
(+.f64 (fma.f64 y x 1) 0)
(fma.f64 y x 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2) (cbrt.f64 (fma.f64 y x 1)))
(+.f64 1 (-.f64 (fma.f64 y x 1) 1))
(+.f64 (fma.f64 y x 1) 0)
(fma.f64 y x 1)
(*.f64 (sqrt.f64 (fma.f64 y x 1)) (sqrt.f64 (fma.f64 y x 1)))
(+.f64 1 (-.f64 (fma.f64 y x 1) 1))
(+.f64 (fma.f64 y x 1) 0)
(fma.f64 y x 1)
(*.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (-.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x -1)))
(/.f64 (-.f64 -1 (pow.f64 (*.f64 y x) 3)) (-.f64 (fma.f64 y x -1) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (fma.f64 (*.f64 y x) (fma.f64 y x -1) 1))
(*.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2)) (/.f64 1 (-.f64 1 (*.f64 y x))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2)) (-.f64 1 (*.f64 y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) -1) (fma.f64 y x -1))
(/.f64 (fma.f64 y x 1) 1)
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x))) (+.f64 1 (pow.f64 (*.f64 y x) 3))))
(*.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (-.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x -1)))
(/.f64 (-.f64 -1 (pow.f64 (*.f64 y x) 3)) (-.f64 (fma.f64 y x -1) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (fma.f64 (*.f64 y x) (fma.f64 y x -1) 1))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 y x)) (-.f64 1 (pow.f64 (*.f64 y x) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2)) (-.f64 1 (*.f64 y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) -1) (fma.f64 y x -1))
(/.f64 (fma.f64 y x 1) 1)
(/.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x))))
(*.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (-.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x -1)))
(/.f64 (-.f64 -1 (pow.f64 (*.f64 y x) 3)) (-.f64 (fma.f64 y x -1) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (fma.f64 (*.f64 y x) (fma.f64 y x -1) 1))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 1 (*.f64 y x))))
(*.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (-.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x -1)))
(/.f64 (-.f64 -1 (pow.f64 (*.f64 y x) 3)) (-.f64 (fma.f64 y x -1) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (fma.f64 (*.f64 y x) (fma.f64 y x -1) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2)) (-.f64 1 (*.f64 y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) -1) (fma.f64 y x -1))
(/.f64 (fma.f64 y x 1) 1)
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x)))))
(*.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (-.f64 (pow.f64 (*.f64 y x) 2) (fma.f64 y x -1)))
(/.f64 (-.f64 -1 (pow.f64 (*.f64 y x) 3)) (-.f64 (fma.f64 y x -1) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (fma.f64 (*.f64 y x) (fma.f64 y x -1) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2))) (neg.f64 (-.f64 1 (*.f64 y x))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2)) (-.f64 1 (*.f64 y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) -1) (fma.f64 y x -1))
(/.f64 (fma.f64 y x 1) 1)
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) 1) (-.f64 (*.f64 y x) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2)) (-.f64 1 (*.f64 y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) -1) (fma.f64 y x -1))
(/.f64 (fma.f64 y x 1) 1)
(pow.f64 (fma.f64 y x 1) 1)
(+.f64 1 (-.f64 (fma.f64 y x 1) 1))
(+.f64 (fma.f64 y x 1) 0)
(fma.f64 y x 1)
(pow.f64 (pow.f64 (fma.f64 y x 1) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 y x 1) 1))
(+.f64 (fma.f64 y x 1) 0)
(fma.f64 y x 1)
(pow.f64 (cbrt.f64 (fma.f64 y x 1)) 3)
(+.f64 1 (-.f64 (fma.f64 y x 1) 1))
(+.f64 (fma.f64 y x 1) 0)
(fma.f64 y x 1)
(pow.f64 (sqrt.f64 (fma.f64 y x 1)) 2)
(+.f64 1 (-.f64 (fma.f64 y x 1) 1))
(+.f64 (fma.f64 y x 1) 0)
(fma.f64 y x 1)
(sqrt.f64 (pow.f64 (fma.f64 y x 1) 2))
(+.f64 1 (-.f64 (fma.f64 y x 1) 1))
(+.f64 (fma.f64 y x 1) 0)
(fma.f64 y x 1)
(log.f64 (exp.f64 (fma.f64 y x 1)))
(+.f64 1 (-.f64 (fma.f64 y x 1) 1))
(+.f64 (fma.f64 y x 1) 0)
(fma.f64 y x 1)
(cbrt.f64 (pow.f64 (fma.f64 y x 1) 3))
(+.f64 1 (-.f64 (fma.f64 y x 1) 1))
(+.f64 (fma.f64 y x 1) 0)
(fma.f64 y x 1)
(expm1.f64 (log1p.f64 (fma.f64 y x 1)))
(+.f64 1 (-.f64 (fma.f64 y x 1) 1))
(+.f64 (fma.f64 y x 1) 0)
(fma.f64 y x 1)
(log1p.f64 (expm1.f64 (fma.f64 y x 1)))
(+.f64 1 (-.f64 (fma.f64 y x 1) 1))
(+.f64 (fma.f64 y x 1) 0)
(fma.f64 y x 1)
(exp.f64 (log1p.f64 (*.f64 y x)))
(fma.f64 1 (*.f64 y x) 1)
(+.f64 1 (-.f64 (fma.f64 y x 1) 1))
(+.f64 (fma.f64 y x 1) 0)
(fma.f64 y x 1)
(fma.f64 y x 1)
(+.f64 1 (-.f64 (fma.f64 y x 1) 1))
(+.f64 (fma.f64 y x 1) 0)
(fma.f64 x y 1)
(+.f64 1 (-.f64 (fma.f64 y x 1) 1))
(+.f64 (fma.f64 y x 1) 0)
(fma.f64 y x 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) 1)
(+.f64 1 (-.f64 (fma.f64 y x 1) 1))
(+.f64 (fma.f64 y x 1) 0)
(fma.f64 y x 1)
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) 1)
(+.f64 1 (-.f64 (fma.f64 y x 1) 1))
(+.f64 (fma.f64 y x 1) 0)
(fma.f64 y x 1)

eval18.0ms (0.9%)

Compiler

Compiled 1080 to 500 computations (53.7% saved)

prune13.0ms (0.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New88189
Fresh011
Picked011
Done033
Total88694
Error
0b
Counts
94 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(-.f64 (+.f64 1 (*.f64 y x)) y)
28.6b
(-.f64 (*.f64 y x) y)
18.0b
(-.f64 1 y)
45.1b
(*.f64 y x)
45.9b
(neg.f64 y)
34.4b
1
Compiler

Compiled 33 to 23 computations (30.3% saved)

localize2.0ms (0.1%)

Compiler

Compiled 5 to 3 computations (40% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done044
Total066
Error
0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(-.f64 (+.f64 1 (*.f64 y x)) y)
28.6b
(-.f64 (*.f64 y x) y)
18.0b
(-.f64 1 y)
45.1b
(*.f64 y x)
45.9b
(neg.f64 y)
34.4b
1
Compiler

Compiled 33 to 23 computations (30.3% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done055
Total066
Error
0b
Counts
6 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(-.f64 (+.f64 1 (*.f64 y x)) y)
28.6b
(-.f64 (*.f64 y x) y)
18.0b
(-.f64 1 y)
45.1b
(*.f64 y x)
45.9b
(neg.f64 y)
34.4b
1
Compiler

Compiled 33 to 23 computations (30.3% saved)

regimes28.0ms (1.4%)

Counts
8 → 1
Calls
Call 1
Inputs
1
(neg.f64 y)
(*.f64 y x)
(-.f64 1 y)
(-.f64 (*.f64 y x) y)
(-.f64 (+.f64 1 (*.f64 y x)) y)
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 x y (-.f64 1 y))
Outputs
(-.f64 (+.f64 1 (*.f64 y x)) y)
Calls

6 calls:

7.0ms
y
5.0ms
x
4.0ms
(-.f64 1 y)
3.0ms
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
3.0ms
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
Results
ErrorSegmentsBranch
0b1x
0b1y
0b1(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
0b1(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
0b1(-.f64 1 y)
0b1(-.f64 1 y)
Compiler

Compiled 76 to 48 computations (36.8% saved)

regimes52.0ms (2.6%)

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

4 calls:

23.0ms
x
12.0ms
y
8.0ms
(-.f64 1 y)
7.0ms
(-.f64 1 y)
Results
ErrorSegmentsBranch
8.0b5x
7.8b3y
8.0b3(-.f64 1 y)
8.0b3(-.f64 1 y)
Compiler

Compiled 32 to 20 computations (37.5% saved)

bsearch29.0ms (1.4%)

Algorithm
binary-search
Steps
TimeLeftRight
11.0ms
2.8347954763992966e-23
4.494114286387098e-22
18.0ms
-7.390955962819706e-95
-4.4079202369518014e-103
Results
20.0ms193×body256valid
7.0ms47×body512valid
Compiler

Compiled 226 to 162 computations (28.3% saved)

regimes61.0ms (3%)

Counts
4 → 5
Calls
Call 1
Inputs
1
(neg.f64 y)
(*.f64 y x)
(-.f64 1 y)
Outputs
(*.f64 y x)
(-.f64 1 y)
(*.f64 y x)
(-.f64 1 y)
(*.f64 y x)
Calls

4 calls:

20.0ms
x
18.0ms
y
12.0ms
(-.f64 1 y)
11.0ms
(-.f64 1 y)
Results
ErrorSegmentsBranch
8.0b5x
14.2b5y
14.4b5(-.f64 1 y)
14.4b5(-.f64 1 y)
Compiler

Compiled 27 to 19 computations (29.6% saved)

bsearch49.0ms (2.4%)

Algorithm
binary-search
Steps
TimeLeftRight
2.0ms
4.4189288603492486e+21
4.6671392252891103e+21
11.0ms
-1647884729361632500.0
-371099977405411460.0
15.0ms
-6.015749344539825e+56
-9.45358087488934e+53
21.0ms
-5.83108168239672e+147
-3.0245396740254083e+146
Results
28.0ms284×body256valid
11.0ms51×body1024valid
3.0ms17×body512valid
2.0ms27×body256infinite
Compiler

Compiled 280 to 210 computations (25% saved)

regimes45.0ms (2.2%)

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

2 calls:

29.0ms
x
15.0ms
y
Results
ErrorSegmentsBranch
19.9b9x
14.2b5y
Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch64.0ms (3.2%)

Algorithm
binary-search
Steps
TimeLeftRight
14.0ms
1.9490874287893448e+89
2.23433471409935e+91
14.0ms
2.9685530291418256e-36
1.0643278397180039e-31
18.0ms
-1.7080660785573452e-39
-2.1960967700180432e-52
17.0ms
-2.1632363954285798e+83
-7.151278669679691e+77
Results
55.0ms544×body256valid
3.0ms29×body256infinite
Compiler

Compiled 372 to 284 computations (23.7% saved)

regimes22.0ms (1.1%)

Accuracy

Total -43.8b remaining (-238.7%)

Threshold costs -43.8b (-238.7%)

Counts
2 → 3
Calls
Call 1
Inputs
1
(neg.f64 y)
Outputs
(neg.f64 y)
1
(neg.f64 y)
Calls

2 calls:

13.0ms
x
8.0ms
y
Results
ErrorSegmentsBranch
29.9b5x
18.4b3y
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch30.0ms (1.5%)

Algorithm
binary-search
Steps
TimeLeftRight
14.0ms
3308.573471094732
14832952.711691001
16.0ms
-5.2162713788299984e-5
-4.190118763478702e-12
Results
27.0ms272×body256valid
Compiler

Compiled 169 to 148 computations (12.4% saved)

simplify7.0ms (0.3%)

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
047143
157143
262143
363143
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 y x)) y)
(if (<=.f64 y -42273766489929/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (-.f64 (*.f64 y x) y) (if (<=.f64 y 584860318145363/1329227995784915872903807060280344576) (-.f64 1 y) (-.f64 (*.f64 y x) y)))
(if (<=.f64 x -679999999999999981488522827372565898307710089134957594526492750098054262457579231663594439616616352008275182709266552714149383937980607607760486400) (*.f64 y x) (if (<=.f64 x -230000000000000014604230623847751449096486794656124764160) (-.f64 1 y) (if (<=.f64 x -1150000000000000000) (*.f64 y x) (if (<=.f64 x 4600000000000000000000) (-.f64 1 y) (*.f64 y x)))))
(if (<=.f64 y -3400000000000000070015926807575141172780387307569548718611393590029006063796224) (neg.f64 y) (if (<=.f64 y -1225996432692711/766247770432944429179173513575154591809369561091801088) (*.f64 y x) (if (<=.f64 y 4795552247492025/45671926166590716193865151022383844364247891968) 1 (if (<=.f64 y 279999999999999981569294588664564246484568902129892339797591335243401265939842433974009856) (*.f64 y x) (neg.f64 y)))))
(if (<=.f64 y -7673845534663173/147573952589676412928) (neg.f64 y) (if (<=.f64 y 3400) 1 (neg.f64 y)))
1
Outputs
(-.f64 (+.f64 1 (*.f64 y x)) y)
(if (<=.f64 y -42273766489929/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (-.f64 (*.f64 y x) y) (if (<=.f64 y 584860318145363/1329227995784915872903807060280344576) (-.f64 1 y) (-.f64 (*.f64 y x) y)))
(if (<=.f64 x -679999999999999981488522827372565898307710089134957594526492750098054262457579231663594439616616352008275182709266552714149383937980607607760486400) (*.f64 y x) (if (<=.f64 x -230000000000000014604230623847751449096486794656124764160) (-.f64 1 y) (if (<=.f64 x -1150000000000000000) (*.f64 y x) (if (<=.f64 x 4600000000000000000000) (-.f64 1 y) (*.f64 y x)))))
(if (<=.f64 y -3400000000000000070015926807575141172780387307569548718611393590029006063796224) (neg.f64 y) (if (<=.f64 y -1225996432692711/766247770432944429179173513575154591809369561091801088) (*.f64 y x) (if (<=.f64 y 4795552247492025/45671926166590716193865151022383844364247891968) 1 (if (<=.f64 y 279999999999999981569294588664564246484568902129892339797591335243401265939842433974009856) (*.f64 y x) (neg.f64 y)))))
(if (<=.f64 y -7673845534663173/147573952589676412928) (neg.f64 y) (if (<=.f64 y 3400) 1 (neg.f64 y)))
1
Compiler

Compiled 112 to 67 computations (40.2% saved)

soundness0.0ms (0%)

end50.0ms (2.5%)

Compiler

Compiled 102 to 53 computations (48% saved)

Profiling

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