Details

Time bar (total: 12.4s)

analyze291.0ms (2.4%)

Algorithm
1×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
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
18.8%18.7%81.1%0.1%0%0%0%8
25.2%25%74.1%0.1%0.8%0%0%9
36.6%35.9%62.2%0.1%1.8%0%0%10
43.2%42.1%55.5%0.1%2.2%0%0%11
50.4%48%47.2%0.1%4.7%0%0%12
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample2.0s (16.5%)

Results
1.6s8256×body256valid
393.0ms1696×body256infinite
Bogosity

preprocess79.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
806×times-frac_binary64
679×fma-neg_binary64
418×fma-def_binary64
342×sub-neg_binary64
329×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02872
17172
215472
326972
447464
589664
6141464
7230764
8654852
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 y 4) x) (*.f64 (/.f64 y x) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 z 4) y) (*.f64 (/.f64 z y) x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 (/.f64 x z) y)))
Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 x z) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y))))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))
(fabs.f64 (*.f64 (/.f64 1 y) (fma.f64 x z (-.f64 -4 x))))
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 x)) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 y 4) x) (*.f64 (/.f64 y x) z)))
(fabs.f64 (-.f64 (/.f64 (*.f64 y z) x) (/.f64 (+.f64 4 y) x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 4 y) x) (*.f64 z (/.f64 y x))))
(fabs.f64 (-.f64 (/.f64 y (/.f64 x z)) (/.f64 (+.f64 4 y) x)))
(fabs.f64 (fma.f64 (/.f64 z x) y (/.f64 (-.f64 -4 y) x)))
(fabs.f64 (fma.f64 y (/.f64 z x) (/.f64 (-.f64 -4 y) x)))
(fabs.f64 (*.f64 (/.f64 -1 x) (fma.f64 y z (-.f64 -4 y))))
(fabs.f64 (/.f64 (fma.f64 y z (-.f64 -4 y)) x))
(fabs.f64 (-.f64 (/.f64 (+.f64 z 4) y) (*.f64 (/.f64 z y) x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 4 z) y) (*.f64 x (/.f64 z y))))
(fabs.f64 (-.f64 (/.f64 x (/.f64 y z)) (/.f64 (+.f64 4 z) y)))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 z) y)))
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 z)) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 (/.f64 x z) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 y (/.f64 x z))))
(fabs.f64 (fma.f64 y (/.f64 x z) (/.f64 (-.f64 -4 x) z)))
(fabs.f64 (fma.f64 x (/.f64 y z) (/.f64 (-.f64 -4 x) z)))
(fabs.f64 (*.f64 (/.f64 -1 z) (fma.f64 x y (-.f64 -4 x))))
(fabs.f64 (/.f64 (fma.f64 x y (-.f64 -4 x)) z))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify92.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1141×fma-def_binary64
1073×fma-neg_binary64
228×cancel-sign-sub-inv_binary64
224×distribute-rgt-in_binary64
166×distribute-lft-in_binary64
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
01118
12218
24618
37818
414116
527316
644416
774516
8178613
9364013
10474013
11493613
12503313
13503313
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (fma.f64 (/.f64 x y) z (/.f64 (-.f64 -4 x) y)))
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y)))
(fabs.f64 (*.f64 (/.f64 -1 y) (fma.f64 x z (-.f64 -4 x))))
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 x)) y))

eval1.0ms (0%)

Compiler

Compiled 24 to 15 computations (37.5% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶3.6b
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 x)) y))
▶1.6b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x 4) y)
✓0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
✓2.3b
(*.f64 (/.f64 x y) z)
Compiler

Compiled 46 to 20 computations (56.5% saved)

series16.0ms (0.1%)

Counts
3 → 96
Calls

24 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(*.f64 (/.f64 x y) z)
2.0ms
x
@0
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
1.0ms
y
@inf
(*.f64 (/.f64 x y) z)
1.0ms
y
@0
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
1.0ms
x
@0
(*.f64 (/.f64 x y) z)

rewrite89.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
631×log-prod_binary64
334×fma-def_binary64
324×pow2_binary64
223×pow1/3_binary64
220×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01030
123627
2355427
Stop Event
1×node limit
Counts
3 → 190
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) z)
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
(/.f64 (+.f64 x 4) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) z)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 4) y) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) (fma.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 x y) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 2) (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) (fma.f64 (/.f64 (neg.f64 x) y) z (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 2) (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (sqrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3)) (/.f64 1 (fma.f64 (*.f64 (/.f64 x y) z) (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)) (pow.f64 (/.f64 (+.f64 x 4) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2)) (/.f64 1 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (*.f64 (/.f64 x y) z))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (*.f64 (/.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (/.f64 x y) z) (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)) (pow.f64 (/.f64 (+.f64 x 4) y) 2)) (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)) (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3)) (fma.f64 (*.f64 (/.f64 x y) z) (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)) (pow.f64 (/.f64 (+.f64 x 4) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2)) (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3))) (neg.f64 (fma.f64 (*.f64 (/.f64 x y) z) (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)) (pow.f64 (/.f64 (+.f64 x 4) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2))) (neg.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x 4) y) (*.f64 y (*.f64 x z))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y (*.f64 (/.f64 y (+.f64 x 4)) (*.f64 x z))) (*.f64 (/.f64 y (+.f64 x 4)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 -1 x -4) y) (*.f64 (neg.f64 y) (*.f64 x z))) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (-.f64 (pow.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 2) (*.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 2)) (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 1)))) 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(/.f64 x y) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 2) (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (*.f64 (/.f64 x y) z))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (*.f64 (/.f64 x y) z))) (fma.f64 (/.f64 (neg.f64 x) y) z (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 2)) (cbrt.f64 (*.f64 (/.f64 x y) z)) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 x) y) 1) z (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 x) y) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 z)) (sqrt.f64 z) (/.f64 (+.f64 x 4) y))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 4) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 4) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 4) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 4) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 4) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 4) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 4) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x 4) 2)) (*.f64 (cbrt.f64 (+.f64 x 4)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2) (cbrt.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 4)) (*.f64 (sqrt.f64 (+.f64 x 4)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 x -4) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 4) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x 4)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) 1) (/.f64 (sqrt.f64 (+.f64 x 4)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (+.f64 x 4) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 4) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (+.f64 x 4) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 4) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x 4)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 4) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 x 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (+.f64 x 4)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 4) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 4) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 4) y)) 1))))))

simplify113.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
718×fma-neg_binary64
463×fma-def_binary64
220×distribute-rgt-in_binary64
204×cancel-sign-sub-inv_binary64
201×distribute-lft-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0341102
1961042
22171042
35371042
41263790
52885790
63601790
73785790
83860790
93860790
Stop Event
1×saturated
Counts
286 → 208
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 4 x) y)
Outputs
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))
(-.f64 (/.f64 x y) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))
(-.f64 (/.f64 x y) (/.f64 z (/.f64 y x)))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(neg.f64 (*.f64 (/.f64 z y) x))
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(neg.f64 (*.f64 (/.f64 z y) x))
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 x y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓3.3b
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)
Compiler

Compiled 33 to 18 computations (45.5% saved)

series11.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
z
@0
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)
3.0ms
x
@inf
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)
1.0ms
x
@-inf
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)
1.0ms
x
@0
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)
1.0ms
z
@-inf
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)

rewrite64.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
525×unpow-prod-down_binary64
421×log-prod_binary64
327×exp-prod_binary64
278×prod-exp_binary64
242×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
117711
2235211
Stop Event
1×node limit
Counts
1 → 77
Calls
Call 1
Inputs
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (fma.f64 x z -4) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x z -4) x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (fma.f64 x z -4) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 2) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2) (*.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) (*.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 (fma.f64 x z -4) x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 (fma.f64 x z -4) x)) (pow.f64 (/.f64 1 (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 (fma.f64 x z -4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (pow.f64 (/.f64 1 (-.f64 (fma.f64 x z -4) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) 1) (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (-.f64 (fma.f64 x z -4) x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (-.f64 (fma.f64 x z -4) x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x 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*.f64 (pow.f64 (/.f64 (sqrt.f64 y) 1) -1) (pow.f64 (/.f64 (sqrt.f64 y) (-.f64 (fma.f64 x z -4) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) -2) -1) (pow.f64 (/.f64 y (cbrt.f64 (-.f64 (fma.f64 x z -4) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 (fma.f64 x z -4) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 (fma.f64 x z -4) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 (fma.f64 x z -4) x) -1/2) -1) (pow.f64 (/.f64 y (sqrt.f64 (-.f64 (fma.f64 x z -4) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 (fma.f64 x z -4) x))) -1) (pow.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 (fma.f64 x z -4) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 (fma.f64 x z -4) x))) -1) (pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 (fma.f64 x z -4) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 (fma.f64 x z -4) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 x z -4) x) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (-.f64 (fma.f64 x z -4) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))) (sqrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 x z -4) x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 (fma.f64 x z -4) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1)))))))

simplify122.0ms (1%)

Algorithm
1×egg-herbie
Rules
1170×fma-def_binary64
702×fma-neg_binary64
189×cancel-sign-sub-inv_binary64
183×distribute-rgt-in_binary64
144×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033617
181557
2184375
3409375
4910375
51995375
63650375
74235375
84343375
94345375
104345375
Stop Event
1×saturated
Counts
113 → 91
Calls
Call 1
Inputs
(/.f64 -4 y)
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y)))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y)))
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y)))
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y)))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
Outputs
(/.f64 -4 y)
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 (/.f64 (+.f64 z -1) y) x)
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(/.f64 (+.f64 z -1) (/.f64 y x))
(*.f64 (/.f64 (+.f64 z -1) y) x)
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (-.f64 -4 x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y)))
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y))
(/.f64 (fma.f64 z x (-.f64 -4 x)) y)
(/.f64 (-.f64 (fma.f64 z x -4) x) y)

eval105.0ms (0.9%)

Compiler

Compiled 5807 to 3101 computations (46.6% saved)

prune287.0ms (2.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New28712299
Fresh000
Picked101
Done101
Total28912301
Error
0b
Counts
301 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
3.7b
(fabs.f64 (*.f64 (/.f64 1 y) (-.f64 (fma.f64 x z -4) x)))
▶31.9b
(fabs.f64 (/.f64 4 y))
44.2b
(fabs.f64 (*.f64 z (/.f64 x y)))
24.8b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) z)) 2)))
▶46.5b
(fabs.f64 (/.f64 (*.f64 z x) y))
33.6b
(fabs.f64 (/.f64 (-.f64 (*.f64 (+.f64 x 4) y) (*.f64 y (*.f64 x z))) (*.f64 y y)))
▶33.7b
(fabs.f64 (/.f64 (*.f64 (-.f64 z 1) x) y))
▶44.8b
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
▶3.6b
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
3.6b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
32.0b
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
19.5b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
Compiler

Compiled 290 to 204 computations (29.7% saved)

localize30.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓3.3b
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
Compiler

Compiled 39 to 19 computations (51.3% saved)

series12.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
y
@0
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
1.0ms
x
@-inf
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
1.0ms
z
@-inf
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
1.0ms
x
@inf
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
1.0ms
z
@inf
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

rewrite92.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
564×log-prod_binary64
369×pow-prod-down_binary64
344×fma-def_binary64
298×pow2_binary64
205×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
121513
2326613
Stop Event
1×node limit
Counts
1 → 57
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 4) y) (neg.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 4 (*.f64 x z))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y) 1)))) 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y) 2)) (/.f64 (sqrt.f64 (+.f64 x (-.f64 4 (*.f64 x z)))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (-.f64 4 (*.f64 x z))) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x (-.f64 4 (*.f64 x z)))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 x (-.f64 4 (*.f64 x z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x (-.f64 4 (*.f64 x z))) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (+.f64 x (-.f64 4 (*.f64 x z)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x (-.f64 4 (*.f64 x z))) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 x (-.f64 4 (*.f64 x z))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 4) (/.f64 1 y) (neg.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 x 4) y) (neg.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2) (cbrt.f64 (/.f64 (+.f64 x 4) y)) (neg.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 (+.f64 x 4) y)) (neg.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (+.f64 x 4) (cbrt.f64 y)) (neg.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 (+.f64 x 4) (sqrt.f64 y)) (neg.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 4) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x 4)) y) (neg.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) 1) (/.f64 (sqrt.f64 (+.f64 x 4)) y) (neg.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 4) 2)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (+.f64 x 4)) (cbrt.f64 y)) (neg.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 y)) (neg.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 4) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x 4)) (sqrt.f64 y)) (neg.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (+.f64 x 4)) (sqrt.f64 y)) (neg.f64 (/.f64 x (/.f64 y z))))))))

simplify154.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1144×fma-def_binary64
681×fma-neg_binary64
159×cancel-sign-sub-inv_binary64
128×distribute-rgt-in_binary64
85×distribute-lft-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035619
181559
2153469
3285469
4568379
51172379
62338379
73203379
83736379
93764379
103764379
Stop Event
1×saturated
Counts
93 → 71
Calls
Call 1
Inputs
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
Outputs
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 1 z)))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(/.f64 x (/.f64 y (-.f64 1 z)))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(fma.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x (/.f64 4 y))
(fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)

localize10.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize18.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓4.8b
(/.f64 (*.f64 z x) y)
Compiler

Compiled 20 to 6 computations (70% saved)

series5.0ms (0%)

Counts
1 → 0
Calls

9 calls:

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

rewrite96.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
712×pow1_binary64
659×add-log-exp_binary64
659×log1p-expm1-u_binary64
659×expm1-log1p-u_binary64
644×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11257
217317
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 z y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 z (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 z y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2) (cbrt.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (*.f64 (cbrt.f64 (*.f64 z x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) (sqrt.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 z)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) 1) (/.f64 (sqrt.f64 (*.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 z x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 z x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 z x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 z x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z y) x)))))))

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
41 → 41
Calls
Call 1
Inputs
Outputs

localize17.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓7.8b
(*.f64 x (/.f64 (neg.f64 z) y))
Compiler

Compiled 25 to 7 computations (72% saved)

series7.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.f64 x (/.f64 (neg.f64 z) y))
1.0ms
x
@0
(*.f64 x (/.f64 (neg.f64 z) y))
1.0ms
y
@0
(*.f64 x (/.f64 (neg.f64 z) y))
1.0ms
x
@-inf
(*.f64 x (/.f64 (neg.f64 z) y))
1.0ms
z
@inf
(*.f64 x (/.f64 (neg.f64 z) y))

rewrite63.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
695×pow1_binary64
641×add-log-exp_binary64
640×log1p-expm1-u_binary64
640×expm1-log1p-u_binary64
626×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11507
221507
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 x (/.f64 (neg.f64 z) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 z y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 z y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 z y))))))))

simplify36.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
145×fma-def_binary64
46×fma-neg_binary64
24×sub-neg_binary64
18×div-sub_binary64
14×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08324
115324
235324
369324
4114324
5162324
6202324
7238324
8275324
9394324
10445324
Stop Event
1×saturated
Counts
57 → 23
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
Outputs
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 z x)) y)
(*.f64 (neg.f64 (/.f64 z y)) x)
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (neg.f64 (/.f64 x y)))

localize65.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 z 1) x)
✓3.3b
(/.f64 (*.f64 (-.f64 z 1) x) y)
Compiler

Compiled 30 to 18 computations (40% saved)

series45.0ms (0.4%)

Counts
2 → 24
Calls

15 calls:

TimeVariablePointExpression
32.0ms
x
@0
(/.f64 (*.f64 (-.f64 z 1) x) y)
1.0ms
y
@0
(/.f64 (*.f64 (-.f64 z 1) x) y)
1.0ms
z
@-inf
(/.f64 (*.f64 (-.f64 z 1) x) y)
1.0ms
z
@0
(/.f64 (*.f64 (-.f64 z 1) x) y)
1.0ms
z
@inf
(/.f64 (*.f64 (-.f64 z 1) x) y)

rewrite108.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
947×pow1_binary64
881×add-log-exp_binary64
880×log1p-expm1-u_binary64
880×expm1-log1p-u_binary64
863×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117117
2235617
Stop Event
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 z 1) x) y)
(*.f64 (-.f64 z 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 z -1) y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 z (/.f64 y x)) (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 z -1) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z -1) (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z -1) (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (+.f64 z -1) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z -1) x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 z -1) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x)) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) (sqrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 z -1) x)) (*.f64 (sqrt.f64 (*.f64 (+.f64 z -1) x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z -1) (neg.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 (+.f64 z -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z -1) 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (+.f64 z -1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z -1) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 z -1) x)) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 z -1) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 (+.f64 z -1) x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z -1) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 z -1) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 z -1) x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 z -1) x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 (+.f64 z -1) x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z -1) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (+.f64 z -1) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 z -1) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 z -1) y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (+.f64 z -1) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (+.f64 z -1) x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 z -1) y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 z -1) y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z -1) x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 z -1) y) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x z) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 z -1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 z 3) -1) x) (fma.f64 z z (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 z z -1) x) (+.f64 z 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 z 3) -1)) (fma.f64 z z (+.f64 z 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 z z -1)) (+.f64 z 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 z -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 z -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 z -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 z -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 z -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 z -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 z -1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 z -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 z -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 z -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 z -1) x)))))))

simplify74.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
771×fma-def_binary64
388×fma-neg_binary64
116×cancel-sign-sub-inv_binary64
74×associate-/l*_binary64
74×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
012229
125211
245211
362184
4105184
5180184
6421184
7919184
81808184
92250184
102414184
Stop Event
1×saturated
Counts
85 → 72
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(*.f64 -1 x)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(*.f64 z x)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(+.f64 (*.f64 z x) (*.f64 -1 x))
Outputs
(*.f64 -1 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 x (/.f64 z y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(*.f64 x (/.f64 z y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 x y))
(*.f64 (/.f64 x y) (+.f64 -1 z))
(*.f64 (/.f64 (+.f64 -1 z) y) x)
(*.f64 x (/.f64 (+.f64 -1 z) y))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))
(*.f64 z x)
(*.f64 x z)
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))
(+.f64 (*.f64 z x) (*.f64 -1 x))
(fma.f64 z x (neg.f64 x))
(fma.f64 x z (neg.f64 x))
(-.f64 (*.f64 x z) x)
(*.f64 x (+.f64 -1 z))

eval191.0ms (1.5%)

Compiler

Compiled 2627 to 1481 computations (43.6% saved)

prune95.0ms (0.8%)

Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New2025207
Fresh347
Picked011
Done134
Total20613219
Error
0b
Counts
219 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓46.5b
(fabs.f64 (/.f64 (*.f64 z x) y))
33.6b
(fabs.f64 (/.f64 (-.f64 (*.f64 (+.f64 x 4) y) (*.f64 y (*.f64 x z))) (*.f64 y y)))
▶48.7b
(fabs.f64 (/.f64 (neg.f64 x) y))
19.5b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
46.5b
(fabs.f64 (*.f64 (/.f64 1 y) (*.f64 z x)))
▶32.0b
(fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))
✓3.6b
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
✓31.9b
(fabs.f64 (/.f64 4 y))
44.2b
(fabs.f64 (*.f64 z (/.f64 x y)))
▶3.6b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
▶44.8b
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
✓33.7b
(fabs.f64 (/.f64 (*.f64 (-.f64 z 1) x) y))
▶44.8b
(fabs.f64 (*.f64 (/.f64 z y) x))
Compiler

Compiled 244 to 171 computations (29.9% saved)

localize43.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 x 4) y)
✓0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y))
4.8b
(/.f64 (*.f64 z x) y)
Compiler

Compiled 46 to 20 computations (56.5% saved)

series5.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y))
1.0ms
x
@-inf
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y))
1.0ms
x
@inf
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y))
1.0ms
z
@0
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y))
1.0ms
z
@inf
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y))

rewrite169.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
663×log-prod_binary64
459×fma-def_binary64
335×pow2_binary64
291×fma-neg_binary64
279×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
123913
2387513
Stop Event
1×node limit
Counts
1 → 165
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y))
Outputs
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(*.f64 y y))) (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 y)) (*.f64 (/.f64 (neg.f64 z) (/.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x 4)) (sqrt.f64 y)) (/.f64 (neg.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x 4)) (sqrt.f64 y)) (*.f64 (/.f64 (neg.f64 z) (/.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 z (/.f64 y x)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 z (/.f64 y x)))) (fma.f64 (neg.f64 (/.f64 1 y)) (*.f64 x z) (/.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 z (/.f64 y x)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 z (/.f64 y x)))) (fma.f64 (/.f64 (neg.f64 z) (/.f64 y x)) 1 (/.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 z (/.f64 y x)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 z (/.f64 y x)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 z (/.f64 y x)))) (pow.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) 2) (/.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 z (/.f64 y x)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 z (/.f64 y x)))) (+.f64 (/.f64 (neg.f64 z) (/.f64 y x)) (/.f64 z (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) 2)) (cbrt.f64 (/.f64 z (/.f64 y x))) (/.f64 (+.f64 x 4) y))))))

simplify133.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
714×fma-neg_binary64
463×fma-def_binary64
220×distribute-rgt-in_binary64
204×cancel-sign-sub-inv_binary64
201×distribute-lft-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033628
196568
2217568
3537568
41266379
52871379
63586379
73770379
83845379
93845379
Stop Event
1×saturated
Counts
201 → 179
Calls
Call 1
Inputs
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
Outputs
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 x (/.f64 (-.f64 1 z) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 (*.f64 z x)) y)
(/.f64 (*.f64 z (neg.f64 x)) y)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 (*.f64 z x)) y)
(/.f64 (*.f64 z (neg.f64 x)) y)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 z (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (-.f64 x (fma.f64 z x -4)) y)

localize30.0ms (0.2%)

Compiler

Compiled 16 to 6 computations (62.5% saved)

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓7.8b
(*.f64 (/.f64 z y) x)
Compiler

Compiled 20 to 6 computations (70% saved)

series6.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite65.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
682×pow1_binary64
629×add-log-exp_binary64
629×log1p-expm1-u_binary64
629×expm1-log1p-u_binary64
614×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11257
216757
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(*.f64 (/.f64 z y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 z y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 z y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z y) x)))))))

simplify26.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×associate-/l*_binary64
2×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06252
19252
213252
316252
417252
Stop Event
1×saturated
Counts
59 → 24
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
Outputs
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))

localize27.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 z (/.f64 1 y))
✓7.8b
(*.f64 x (*.f64 z (/.f64 1 y)))
Compiler

Compiled 30 to 18 computations (40% saved)

series10.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

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

rewrite78.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
753×pow1_binary64
692×add-log-exp_binary64
692×log1p-expm1-u_binary64
692×expm1-log1p-u_binary64
676×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
116111
2196211
Stop Event
1×node limit
Counts
2 → 40
Calls
Call 1
Inputs
(*.f64 x (*.f64 z (/.f64 1 y)))
(*.f64 z (/.f64 1 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x z) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 z y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 z y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 y (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 z) (/.f64 y (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 z y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 z y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 z y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 z y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (pow.f64 y -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 y -1) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 z y)))))))

simplify57.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×associate-/l*_binary64
2×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07348
110348
213348
316348
417348
Stop Event
1×saturated
Counts
100 → 42
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
Outputs
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 1 z) y)
✓5.1b
(*.f64 (/.f64 (-.f64 1 z) y) x)
Compiler

Compiled 30 to 18 computations (40% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

15 calls:

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

rewrite95.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
980×pow1_binary64
911×add-log-exp_binary64
911×log1p-expm1-u_binary64
911×expm1-log1p-u_binary64
88×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117117
2234917
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 1 z) y) x)
(/.f64 (-.f64 1 z) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (-.f64 1 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 z) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 1 z) x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 z) x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 z) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 1 z) x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 z)) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 (-.f64 1 z))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 1 z) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 z) y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 z) y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 z) y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 z) y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 1 z) y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 z) y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 z) y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (-.f64 1 z) y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 1 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 1 z) y) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 y) (neg.f64 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 y) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 z) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 z) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 z) y)) 2) (cbrt.f64 (/.f64 (-.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (*.f64 (cbrt.f64 (-.f64 1 z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 z) y)) (sqrt.f64 (/.f64 (-.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 z)) (*.f64 (sqrt.f64 (-.f64 1 z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 z)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 1 z) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 1 z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 z)) 1) (/.f64 (sqrt.f64 (-.f64 1 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 z)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 1 z)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 1 z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 1 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 z) y)))))))

simplify57.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
659×fma-def_binary64
273×fma-neg_binary64
89×cancel-sign-sub-inv_binary64
87×distribute-rgt-in_binary64
75×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
018608
138557
276530
3134431
4284431
5524431
61167431
71819431
82204431
92264431
Stop Event
1×saturated
Counts
106 → 68
Calls
Call 1
Inputs
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y)))
(*.f64 -1 (/.f64 z y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y)))
(*.f64 -1 (/.f64 z y))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y)))
Outputs
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 (neg.f64 (/.f64 x y)) z)
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 (neg.f64 (/.f64 x y)) z)
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(fma.f64 -1 (/.f64 z (/.f64 y x)) (/.f64 x y))
(-.f64 (/.f64 x y) (*.f64 (/.f64 z y) x))
(-.f64 (/.f64 x y) (*.f64 x (/.f64 z y)))
(/.f64 (fma.f64 z (neg.f64 x) x) y)
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 z y)))
(-.f64 (/.f64 1 y) (/.f64 z y))
(/.f64 (-.f64 1 z) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 z y)))
(-.f64 (/.f64 1 y) (/.f64 z y))
(/.f64 (-.f64 1 z) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 z y)))
(-.f64 (/.f64 1 y) (/.f64 z y))
(/.f64 (-.f64 1 z) y)
(*.f64 -1 (/.f64 z y))
(neg.f64 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 z y)))
(-.f64 (/.f64 1 y) (/.f64 z y))
(/.f64 (-.f64 1 z) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 z y)))
(-.f64 (/.f64 1 y) (/.f64 z y))
(/.f64 (-.f64 1 z) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 z y)))
(-.f64 (/.f64 1 y) (/.f64 z y))
(/.f64 (-.f64 1 z) y)
(*.f64 -1 (/.f64 z y))
(neg.f64 (/.f64 z y))
(/.f64 (neg.f64 z) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 z y)))
(-.f64 (/.f64 1 y) (/.f64 z y))
(/.f64 (-.f64 1 z) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 z y)))
(-.f64 (/.f64 1 y) (/.f64 z y))
(/.f64 (-.f64 1 z) y)
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y)))
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 z y)))
(-.f64 (/.f64 1 y) (/.f64 z y))
(/.f64 (-.f64 1 z) y)

eval142.0ms (1.1%)

Compiler

Compiled 6898 to 3413 computations (50.5% saved)

prune76.0ms (0.6%)

Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New3885393
Fresh224
Picked011
Done268
Total39214406
Error
0b
Counts
406 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
31.5b
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
✓3.6b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
▶48.7b
(fabs.f64 (/.f64 x y))
▶3.6b
(fabs.f64 (/.f64 1 (/.f64 y (+.f64 x (-.f64 4 (*.f64 x z))))))
▶19.5b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
46.5b
(fabs.f64 (*.f64 (/.f64 1 y) (*.f64 z x)))
✓32.0b
(fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))
▶44.2b
(fabs.f64 (/.f64 z (/.f64 y x)))
✓3.6b
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
✓31.9b
(fabs.f64 (/.f64 4 y))
✓46.5b
(fabs.f64 (/.f64 (*.f64 z x) y))
✓44.8b
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
✓44.8b
(fabs.f64 (*.f64 (/.f64 z y) x))
▶44.2b
(fabs.f64 (*.f64 z (/.f64 x y)))
Compiler

Compiled 217 to 155 computations (28.6% saved)

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 1 (/.f64 y (+.f64 x (-.f64 4 (*.f64 x z)))))
✓3.3b
(/.f64 y (+.f64 x (-.f64 4 (*.f64 x z))))
Compiler

Compiled 55 to 28 computations (49.1% saved)

series10.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 y (+.f64 x (-.f64 4 (*.f64 x z))))
1.0ms
z
@0
(/.f64 y (+.f64 x (-.f64 4 (*.f64 x z))))
1.0ms
z
@inf
(/.f64 y (+.f64 x (-.f64 4 (*.f64 x z))))
1.0ms
x
@inf
(/.f64 y (+.f64 x (-.f64 4 (*.f64 x z))))
1.0ms
y
@0
(/.f64 y (+.f64 x (-.f64 4 (*.f64 x z))))

rewrite96.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
747×prod-diff_binary64
613×log-prod_binary64
312×fma-def_binary64
224×expm1-udef_binary64
224×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01129
125326
2358126
Stop Event
1×node limit
Counts
2 → 90
Calls
Call 1
Inputs
(/.f64 y (+.f64 x (-.f64 4 (*.f64 x z))))
(/.f64 1 (/.f64 y (+.f64 x (-.f64 4 (*.f64 x z)))))
Outputs
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(fma.f64 x (neg.f64 z) x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 4 (fma.f64 x (neg.f64 z) x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 4 (fma.f64 x (neg.f64 z) x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 4 (fma.f64 x (neg.f64 z) x)) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 y) (*.f64 (-.f64 4 (*.f64 x z)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 4 (*.f64 x z)) (/.f64 1 y) (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) x (*.f64 (/.f64 1 y) (-.f64 4 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) (-.f64 4 (*.f64 x z)) (*.f64 (/.f64 1 y) x))))))

simplify81.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
588×associate-/l*_binary64
570×associate-/r*_binary64
570×fma-def_binary64
518×associate-*r*_binary64
493×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01331635
14411575
214081489
378401489
Stop Event
1×node limit
Counts
162 → 142
Calls
Call 1
Inputs
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(*.f64 1/4 y)
(+.f64 (*.f64 -1/16 (*.f64 y (*.f64 (-.f64 1 z) x))) (*.f64 1/4 y))
(+.f64 (*.f64 -1/16 (*.f64 y (*.f64 (-.f64 1 z) x))) (+.f64 (*.f64 1/4 y) (*.f64 1/64 (*.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 x 2))))))
(+.f64 (*.f64 -1/16 (*.f64 y (*.f64 (-.f64 1 z) x))) (+.f64 (*.f64 -1/256 (*.f64 y (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 x 3)))) (+.f64 (*.f64 1/4 y) (*.f64 1/64 (*.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 x 2)))))))
(/.f64 y (*.f64 (-.f64 1 z) x))
(+.f64 (/.f64 y (*.f64 (-.f64 1 z) x)) (*.f64 -4 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 x 2)))))
(+.f64 (/.f64 y (*.f64 (-.f64 1 z) x)) (+.f64 (*.f64 16 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 x 3)))) (*.f64 -4 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 x 2))))))
(+.f64 (/.f64 y (*.f64 (-.f64 1 z) x)) (+.f64 (*.f64 16 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 x 3)))) (+.f64 (*.f64 -4 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 x 2)))) (*.f64 -64 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 4) (pow.f64 x 4)))))))
(/.f64 y (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(+.f64 (*.f64 -4 (/.f64 y (*.f64 (pow.f64 (+.f64 (*.f64 -1 z) 1) 2) (pow.f64 x 2)))) (/.f64 y (*.f64 (+.f64 (*.f64 -1 z) 1) x)))
(+.f64 (*.f64 -4 (/.f64 y (*.f64 (pow.f64 (+.f64 (*.f64 -1 z) 1) 2) (pow.f64 x 2)))) (+.f64 (*.f64 16 (/.f64 y (*.f64 (pow.f64 (+.f64 (*.f64 -1 z) 1) 3) (pow.f64 x 3)))) (/.f64 y (*.f64 (+.f64 (*.f64 -1 z) 1) x))))
(+.f64 (*.f64 -4 (/.f64 y (*.f64 (pow.f64 (+.f64 (*.f64 -1 z) 1) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -64 (/.f64 y (*.f64 (pow.f64 (+.f64 (*.f64 -1 z) 1) 4) (pow.f64 x 4)))) (+.f64 (*.f64 16 (/.f64 y (*.f64 (pow.f64 (+.f64 (*.f64 -1 z) 1) 3) (pow.f64 x 3)))) (/.f64 y (*.f64 (+.f64 (*.f64 -1 z) 1) x)))))
(/.f64 y (+.f64 4 x))
(+.f64 (/.f64 y (+.f64 4 x)) (/.f64 (*.f64 y (*.f64 z x)) (pow.f64 (+.f64 4 x) 2)))
(+.f64 (/.f64 y (+.f64 4 x)) (+.f64 (/.f64 (*.f64 y (*.f64 z x)) (pow.f64 (+.f64 4 x) 2)) (/.f64 (*.f64 y (*.f64 (pow.f64 z 2) (pow.f64 x 2))) (pow.f64 (+.f64 4 x) 3))))
(+.f64 (/.f64 (*.f64 y (*.f64 (pow.f64 z 3) (pow.f64 x 3))) (pow.f64 (+.f64 4 x) 4)) (+.f64 (/.f64 y (+.f64 4 x)) (+.f64 (/.f64 (*.f64 y (*.f64 z x)) (pow.f64 (+.f64 4 x) 2)) (/.f64 (*.f64 y (*.f64 (pow.f64 z 2) (pow.f64 x 2))) (pow.f64 (+.f64 4 x) 3)))))
(*.f64 -1 (/.f64 y (*.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 4 x)) (*.f64 (pow.f64 z 2) (pow.f64 x 2)))) (*.f64 -1 (/.f64 y (*.f64 z x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 4 x)) (*.f64 (pow.f64 z 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 y (*.f64 z x))) (*.f64 -1 (/.f64 (*.f64 y (pow.f64 (+.f64 4 x) 2)) (*.f64 (pow.f64 z 3) (pow.f64 x 3))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 4 x)) (*.f64 (pow.f64 z 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 (+.f64 4 x) 3)) (*.f64 (pow.f64 z 4) (pow.f64 x 4)))) (+.f64 (*.f64 -1 (/.f64 y (*.f64 z x))) (*.f64 -1 (/.f64 (*.f64 y (pow.f64 (+.f64 4 x) 2)) (*.f64 (pow.f64 z 3) (pow.f64 x 3)))))))
(*.f64 -1 (/.f64 y (*.f64 z x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 4 x)) (*.f64 (pow.f64 z 2) (pow.f64 x 2)))) (*.f64 -1 (/.f64 y (*.f64 z x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 4 x)) (*.f64 (pow.f64 z 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 y (*.f64 z x))) (*.f64 -1 (/.f64 (*.f64 y (pow.f64 (+.f64 4 x) 2)) (*.f64 (pow.f64 z 3) (pow.f64 x 3))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 4 x)) (*.f64 (pow.f64 z 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 (+.f64 4 x) 3)) (*.f64 (pow.f64 z 4) (pow.f64 x 4)))) (+.f64 (*.f64 -1 (/.f64 y (*.f64 z x))) (*.f64 -1 (/.f64 (*.f64 y (pow.f64 (+.f64 4 x) 2)) (*.f64 (pow.f64 z 3) (pow.f64 x 3)))))))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
Outputs
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 x z)))
(/.f64 y (+.f64 4 (-.f64 x (*.f64 x z))))
(/.f64 y (+.f64 4 (fma.f64 x (neg.f64 z) x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 x z)))
(/.f64 y (+.f64 4 (-.f64 x (*.f64 x z))))
(/.f64 y (+.f64 4 (fma.f64 x (neg.f64 z) x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 x z)))
(/.f64 y (+.f64 4 (-.f64 x (*.f64 x z))))
(/.f64 y (+.f64 4 (fma.f64 x (neg.f64 z) x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 x z)))
(/.f64 y (+.f64 4 (-.f64 x (*.f64 x z))))
(/.f64 y (+.f64 4 (fma.f64 x (neg.f64 z) x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 x z)))
(/.f64 y (+.f64 4 (-.f64 x (*.f64 x z))))
(/.f64 y (+.f64 4 (fma.f64 x (neg.f64 z) x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 x z)))
(/.f64 y (+.f64 4 (-.f64 x (*.f64 x z))))
(/.f64 y (+.f64 4 (fma.f64 x (neg.f64 z) x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 x z)))
(/.f64 y (+.f64 4 (-.f64 x (*.f64 x z))))
(/.f64 y (+.f64 4 (fma.f64 x (neg.f64 z) x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 x z)))
(/.f64 y (+.f64 4 (-.f64 x (*.f64 x z))))
(/.f64 y (+.f64 4 (fma.f64 x (neg.f64 z) x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 x z)))
(/.f64 y (+.f64 4 (-.f64 x (*.f64 x z))))
(/.f64 y (+.f64 4 (fma.f64 x (neg.f64 z) x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 x z)))
(/.f64 y (+.f64 4 (-.f64 x (*.f64 x z))))
(/.f64 y (+.f64 4 (fma.f64 x (neg.f64 z) x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 x z)))
(/.f64 y (+.f64 4 (-.f64 x (*.f64 x z))))
(/.f64 y (+.f64 4 (fma.f64 x (neg.f64 z) x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 z x)))
(/.f64 y (-.f64 (+.f64 4 x) (*.f64 x z)))
(/.f64 y (+.f64 4 (-.f64 x (*.f64 x z))))
(/.f64 y (+.f64 4 (fma.f64 x (neg.f64 z) x)))
(*.f64 1/4 y)
(*.f64 y 1/4)
(+.f64 (*.f64 -1/16 (*.f64 y (*.f64 (-.f64 1 z) x))) (*.f64 1/4 y))
(fma.f64 -1/16 (*.f64 y (*.f64 x (-.f64 1 z))) (*.f64 y 1/4))
(fma.f64 y 1/4 (*.f64 (*.f64 x (-.f64 1 z)) (*.f64 y -1/16)))
(*.f64 y (+.f64 1/4 (*.f64 -1/16 (fma.f64 x (neg.f64 z) x))))
(+.f64 (*.f64 -1/16 (*.f64 y (*.f64 (-.f64 1 z) x))) (+.f64 (*.f64 1/4 y) (*.f64 1/64 (*.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 x 2))))))
(fma.f64 -1/16 (*.f64 y (*.f64 x (-.f64 1 z))) (fma.f64 1/4 y (*.f64 1/64 (*.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 x x))))))
(fma.f64 -1/16 (*.f64 y (*.f64 x (-.f64 1 z))) (fma.f64 y 1/4 (*.f64 (*.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 x x)) (*.f64 y 1/64))))
(fma.f64 y 1/4 (*.f64 y (+.f64 (*.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 x (*.f64 x 1/64))) (*.f64 -1/16 (fma.f64 x (neg.f64 z) x)))))
(+.f64 (*.f64 -1/16 (*.f64 y (*.f64 (-.f64 1 z) x))) (+.f64 (*.f64 -1/256 (*.f64 y (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 x 3)))) (+.f64 (*.f64 1/4 y) (*.f64 1/64 (*.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 x 2)))))))
(fma.f64 -1/16 (*.f64 y (*.f64 x (-.f64 1 z))) (fma.f64 -1/256 (*.f64 y (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 x 3))) (fma.f64 1/4 y (*.f64 1/64 (*.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 x x)))))))
(fma.f64 -1/16 (*.f64 y (*.f64 x (-.f64 1 z))) (fma.f64 -1/256 (*.f64 y (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 x 3))) (fma.f64 y 1/4 (*.f64 (*.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 x x)) (*.f64 y 1/64)))))
(fma.f64 y (*.f64 -1/16 (fma.f64 x (neg.f64 z) x)) (fma.f64 y 1/4 (*.f64 y (+.f64 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (-.f64 1 z) 3) -1/256)) (*.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 x (*.f64 x 1/64)))))))
(/.f64 y (*.f64 (-.f64 1 z) x))
(/.f64 y (*.f64 x (-.f64 1 z)))
(/.f64 y (fma.f64 x (neg.f64 z) x))
(+.f64 (/.f64 y (*.f64 (-.f64 1 z) x)) (*.f64 -4 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 x 2)))))
(fma.f64 -4 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 x x))) (/.f64 y (*.f64 x (-.f64 1 z))))
(fma.f64 -4 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 x x))) (/.f64 y (fma.f64 x (neg.f64 z) x)))
(+.f64 (/.f64 y (*.f64 (-.f64 1 z) x)) (+.f64 (*.f64 16 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 x 3)))) (*.f64 -4 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 x 2))))))
(fma.f64 -4 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 x x))) (fma.f64 16 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 x 3))) (/.f64 y (*.f64 x (-.f64 1 z)))))
(fma.f64 -4 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 x x))) (fma.f64 16 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 x 3))) (/.f64 y (fma.f64 x (neg.f64 z) x))))
(+.f64 (/.f64 y (*.f64 (-.f64 1 z) x)) (+.f64 (*.f64 16 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 x 3)))) (+.f64 (*.f64 -4 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 x 2)))) (*.f64 -64 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 4) (pow.f64 x 4)))))))
(+.f64 (fma.f64 16 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 x 3))) (fma.f64 -4 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 x x))) (*.f64 -64 (/.f64 (/.f64 y (pow.f64 (-.f64 1 z) 4)) (pow.f64 x 4))))) (/.f64 y (*.f64 x (-.f64 1 z))))
(fma.f64 -4 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 x x))) (fma.f64 -64 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 4) (pow.f64 x 4))) (fma.f64 16 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 x 3))) (/.f64 y (*.f64 x (-.f64 1 z))))))
(fma.f64 -4 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 x x))) (fma.f64 16 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 x 3))) (fma.f64 -64 (/.f64 (/.f64 y (pow.f64 (-.f64 1 z) 4)) (pow.f64 x 4)) (/.f64 y (fma.f64 x (neg.f64 z) x)))))
(/.f64 y (*.f64 (+.f64 (*.f64 -1 z) 1) x))
(/.f64 y (*.f64 x (-.f64 1 z)))
(/.f64 y (fma.f64 x (neg.f64 z) x))
(+.f64 (*.f64 -4 (/.f64 y (*.f64 (pow.f64 (+.f64 (*.f64 -1 z) 1) 2) (pow.f64 x 2)))) (/.f64 y (*.f64 (+.f64 (*.f64 -1 z) 1) x)))
(fma.f64 -4 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 x x))) (/.f64 y (*.f64 x (-.f64 1 z))))
(fma.f64 -4 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 x x))) (/.f64 y (fma.f64 x (neg.f64 z) x)))
(+.f64 (*.f64 -4 (/.f64 y (*.f64 (pow.f64 (+.f64 (*.f64 -1 z) 1) 2) (pow.f64 x 2)))) (+.f64 (*.f64 16 (/.f64 y (*.f64 (pow.f64 (+.f64 (*.f64 -1 z) 1) 3) (pow.f64 x 3)))) (/.f64 y (*.f64 (+.f64 (*.f64 -1 z) 1) x))))
(fma.f64 -4 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 x x))) (fma.f64 16 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 x 3))) (/.f64 y (*.f64 x (-.f64 1 z)))))
(fma.f64 -4 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 x x))) (fma.f64 16 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 x 3))) (/.f64 y (fma.f64 x (neg.f64 z) x))))
(+.f64 (*.f64 -4 (/.f64 y (*.f64 (pow.f64 (+.f64 (*.f64 -1 z) 1) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -64 (/.f64 y (*.f64 (pow.f64 (+.f64 (*.f64 -1 z) 1) 4) (pow.f64 x 4)))) (+.f64 (*.f64 16 (/.f64 y (*.f64 (pow.f64 (+.f64 (*.f64 -1 z) 1) 3) (pow.f64 x 3)))) (/.f64 y (*.f64 (+.f64 (*.f64 -1 z) 1) x)))))
(+.f64 (fma.f64 16 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 x 3))) (fma.f64 -4 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 x x))) (*.f64 -64 (/.f64 (/.f64 y (pow.f64 (-.f64 1 z) 4)) (pow.f64 x 4))))) (/.f64 y (*.f64 x (-.f64 1 z))))
(fma.f64 -4 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 x x))) (fma.f64 -64 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 4) (pow.f64 x 4))) (fma.f64 16 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 x 3))) (/.f64 y (*.f64 x (-.f64 1 z))))))
(fma.f64 -4 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 x x))) (fma.f64 16 (/.f64 y (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 x 3))) (fma.f64 -64 (/.f64 (/.f64 y (pow.f64 (-.f64 1 z) 4)) (pow.f64 x 4)) (/.f64 y (fma.f64 x (neg.f64 z) x)))))
(/.f64 y (+.f64 4 x))
(+.f64 (/.f64 y (+.f64 4 x)) (/.f64 (*.f64 y (*.f64 z x)) (pow.f64 (+.f64 4 x) 2)))
(+.f64 (/.f64 y (+.f64 4 x)) (/.f64 (*.f64 (*.f64 y z) x) (pow.f64 (+.f64 4 x) 2)))
(+.f64 (/.f64 y (+.f64 4 x)) (*.f64 (/.f64 y (pow.f64 (+.f64 4 x) 2)) (*.f64 x z)))
(*.f64 (+.f64 (/.f64 z (/.f64 (+.f64 4 x) x)) 1) (/.f64 y (+.f64 4 x)))
(+.f64 (/.f64 y (+.f64 4 x)) (+.f64 (/.f64 (*.f64 y (*.f64 z x)) (pow.f64 (+.f64 4 x) 2)) (/.f64 (*.f64 y (*.f64 (pow.f64 z 2) (pow.f64 x 2))) (pow.f64 (+.f64 4 x) 3))))
(+.f64 (/.f64 y (+.f64 4 x)) (+.f64 (/.f64 (*.f64 (*.f64 y z) x) (pow.f64 (+.f64 4 x) 2)) (/.f64 (*.f64 y (*.f64 (*.f64 x x) (*.f64 z z))) (pow.f64 (+.f64 4 x) 3))))
(+.f64 (/.f64 y (+.f64 4 x)) (+.f64 (*.f64 (/.f64 y (pow.f64 (+.f64 4 x) 2)) (*.f64 x z)) (*.f64 (/.f64 y (pow.f64 (+.f64 4 x) 3)) (*.f64 (*.f64 x x) (*.f64 z z)))))
(+.f64 (/.f64 y (+.f64 4 x)) (*.f64 (/.f64 y (pow.f64 (+.f64 4 x) 2)) (+.f64 (*.f64 x z) (*.f64 (/.f64 (*.f64 z z) (+.f64 4 x)) (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 y (*.f64 (pow.f64 z 3) (pow.f64 x 3))) (pow.f64 (+.f64 4 x) 4)) (+.f64 (/.f64 y (+.f64 4 x)) (+.f64 (/.f64 (*.f64 y (*.f64 z x)) (pow.f64 (+.f64 4 x) 2)) (/.f64 (*.f64 y (*.f64 (pow.f64 z 2) (pow.f64 x 2))) (pow.f64 (+.f64 4 x) 3)))))
(+.f64 (+.f64 (/.f64 y (+.f64 4 x)) (+.f64 (/.f64 (*.f64 (*.f64 y z) x) (pow.f64 (+.f64 4 x) 2)) (/.f64 (*.f64 y (*.f64 (*.f64 x x) (*.f64 z z))) (pow.f64 (+.f64 4 x) 3)))) (/.f64 y (/.f64 (pow.f64 (+.f64 4 x) 4) (*.f64 (pow.f64 x 3) (pow.f64 z 3)))))
(+.f64 (/.f64 y (+.f64 4 x)) (+.f64 (+.f64 (*.f64 (/.f64 y (pow.f64 (+.f64 4 x) 2)) (*.f64 x z)) (*.f64 (/.f64 y (pow.f64 (+.f64 4 x) 3)) (*.f64 (*.f64 x x) (*.f64 z z)))) (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 z 3)) (/.f64 (pow.f64 (+.f64 4 x) 4) y))))
(+.f64 (/.f64 y (+.f64 4 x)) (fma.f64 (/.f64 y (pow.f64 (+.f64 4 x) 4)) (*.f64 (pow.f64 x 3) (pow.f64 z 3)) (*.f64 (/.f64 y (pow.f64 (+.f64 4 x) 2)) (+.f64 (*.f64 x z) (*.f64 (/.f64 (*.f64 z z) (+.f64 4 x)) (*.f64 x x))))))
(*.f64 -1 (/.f64 y (*.f64 z x)))
(neg.f64 (/.f64 (/.f64 y z) x))
(/.f64 (neg.f64 y) (*.f64 x z))
(/.f64 (/.f64 (neg.f64 y) z) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 4 x)) (*.f64 (pow.f64 z 2) (pow.f64 x 2)))) (*.f64 -1 (/.f64 y (*.f64 z x))))
(*.f64 -1 (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (/.f64 (+.f64 4 x) (*.f64 x x))) (/.f64 (/.f64 y z) x)))
(neg.f64 (fma.f64 (/.f64 y (*.f64 z z)) (/.f64 (+.f64 4 x) (*.f64 x x)) (/.f64 (/.f64 y z) x)))
(neg.f64 (fma.f64 (/.f64 y (*.f64 z z)) (/.f64 (+.f64 4 x) (*.f64 x x)) (/.f64 (/.f64 y x) z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 4 x)) (*.f64 (pow.f64 z 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 y (*.f64 z x))) (*.f64 -1 (/.f64 (*.f64 y (pow.f64 (+.f64 4 x) 2)) (*.f64 (pow.f64 z 3) (pow.f64 x 3))))))
(fma.f64 -1 (*.f64 (/.f64 y (*.f64 z z)) (/.f64 (+.f64 4 x) (*.f64 x x))) (fma.f64 -1 (/.f64 (/.f64 y z) x) (neg.f64 (/.f64 y (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 z 3)) (pow.f64 (+.f64 4 x) 2))))))
(-.f64 (neg.f64 (fma.f64 (/.f64 y (*.f64 z z)) (/.f64 (+.f64 4 x) (*.f64 x x)) (/.f64 (/.f64 y z) x))) (*.f64 (/.f64 y (pow.f64 z 3)) (/.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 x 3))))
(neg.f64 (fma.f64 (/.f64 y (*.f64 z z)) (/.f64 (+.f64 4 x) (*.f64 x x)) (fma.f64 (/.f64 y (pow.f64 z 3)) (/.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 x 3)) (/.f64 (/.f64 y x) z))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 4 x)) (*.f64 (pow.f64 z 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 (+.f64 4 x) 3)) (*.f64 (pow.f64 z 4) (pow.f64 x 4)))) (+.f64 (*.f64 -1 (/.f64 y (*.f64 z x))) (*.f64 -1 (/.f64 (*.f64 y (pow.f64 (+.f64 4 x) 2)) (*.f64 (pow.f64 z 3) (pow.f64 x 3)))))))
(fma.f64 -1 (*.f64 (/.f64 y (*.f64 z z)) (/.f64 (+.f64 4 x) (*.f64 x x))) (fma.f64 -1 (*.f64 (/.f64 y (pow.f64 z 4)) (/.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 x 4))) (fma.f64 -1 (/.f64 (/.f64 y z) x) (neg.f64 (/.f64 y (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 z 3)) (pow.f64 (+.f64 4 x) 2)))))))
(+.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 y (*.f64 z z)) (/.f64 (+.f64 4 x) (*.f64 x x)) (/.f64 (/.f64 y z) x))) (*.f64 (/.f64 y (pow.f64 z 3)) (/.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 x 3)))) (*.f64 (neg.f64 (/.f64 y (pow.f64 z 4))) (/.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 x 4))))
(-.f64 (neg.f64 (fma.f64 (/.f64 y (pow.f64 z 3)) (/.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 x 3)) (/.f64 (/.f64 y x) z))) (fma.f64 (/.f64 y (*.f64 z z)) (/.f64 (+.f64 4 x) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 4 x) 3) (/.f64 y (*.f64 (pow.f64 x 4) (pow.f64 z 4))))))
(*.f64 -1 (/.f64 y (*.f64 z x)))
(neg.f64 (/.f64 (/.f64 y z) x))
(/.f64 (neg.f64 y) (*.f64 x z))
(/.f64 (/.f64 (neg.f64 y) z) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 4 x)) (*.f64 (pow.f64 z 2) (pow.f64 x 2)))) (*.f64 -1 (/.f64 y (*.f64 z x))))
(*.f64 -1 (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (/.f64 (+.f64 4 x) (*.f64 x x))) (/.f64 (/.f64 y z) x)))
(neg.f64 (fma.f64 (/.f64 y (*.f64 z z)) (/.f64 (+.f64 4 x) (*.f64 x x)) (/.f64 (/.f64 y z) x)))
(neg.f64 (fma.f64 (/.f64 y (*.f64 z z)) (/.f64 (+.f64 4 x) (*.f64 x x)) (/.f64 (/.f64 y x) z)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 4 x)) (*.f64 (pow.f64 z 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 y (*.f64 z x))) (*.f64 -1 (/.f64 (*.f64 y (pow.f64 (+.f64 4 x) 2)) (*.f64 (pow.f64 z 3) (pow.f64 x 3))))))
(fma.f64 -1 (*.f64 (/.f64 y (*.f64 z z)) (/.f64 (+.f64 4 x) (*.f64 x x))) (fma.f64 -1 (/.f64 (/.f64 y z) x) (neg.f64 (/.f64 y (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 z 3)) (pow.f64 (+.f64 4 x) 2))))))
(-.f64 (neg.f64 (fma.f64 (/.f64 y (*.f64 z z)) (/.f64 (+.f64 4 x) (*.f64 x x)) (/.f64 (/.f64 y z) x))) (*.f64 (/.f64 y (pow.f64 z 3)) (/.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 x 3))))
(neg.f64 (fma.f64 (/.f64 y (*.f64 z z)) (/.f64 (+.f64 4 x) (*.f64 x x)) (fma.f64 (/.f64 y (pow.f64 z 3)) (/.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 x 3)) (/.f64 (/.f64 y x) z))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y (+.f64 4 x)) (*.f64 (pow.f64 z 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 (+.f64 4 x) 3)) (*.f64 (pow.f64 z 4) (pow.f64 x 4)))) (+.f64 (*.f64 -1 (/.f64 y (*.f64 z x))) (*.f64 -1 (/.f64 (*.f64 y (pow.f64 (+.f64 4 x) 2)) (*.f64 (pow.f64 z 3) (pow.f64 x 3)))))))
(fma.f64 -1 (*.f64 (/.f64 y (*.f64 z z)) (/.f64 (+.f64 4 x) (*.f64 x x))) (fma.f64 -1 (*.f64 (/.f64 y (pow.f64 z 4)) (/.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 x 4))) (fma.f64 -1 (/.f64 (/.f64 y z) x) (neg.f64 (/.f64 y (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 z 3)) (pow.f64 (+.f64 4 x) 2)))))))
(+.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 y (*.f64 z z)) (/.f64 (+.f64 4 x) (*.f64 x x)) (/.f64 (/.f64 y z) x))) (*.f64 (/.f64 y (pow.f64 z 3)) (/.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 x 3)))) (*.f64 (neg.f64 (/.f64 y (pow.f64 z 4))) (/.f64 (pow.f64 (+.f64 4 x) 3) (pow.f64 x 4))))
(-.f64 (neg.f64 (fma.f64 (/.f64 y (pow.f64 z 3)) (/.f64 (pow.f64 (+.f64 4 x) 2) (pow.f64 x 3)) (/.f64 (/.f64 y x) z))) (fma.f64 (/.f64 y (*.f64 z z)) (/.f64 (+.f64 4 x) (*.f64 x x)) (*.f64 (pow.f64 (+.f64 4 x) 3) (/.f64 y (*.f64 (pow.f64 x 4) (pow.f64 z 4))))))
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)
(/.f64 (+.f64 4 (fma.f64 x (neg.f64 z) x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)
(/.f64 (+.f64 4 (fma.f64 x (neg.f64 z) x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)
(/.f64 (+.f64 4 (fma.f64 x (neg.f64 z) x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)
(/.f64 (+.f64 4 (fma.f64 x (neg.f64 z) x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)
(/.f64 (+.f64 4 (fma.f64 x (neg.f64 z) x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)
(/.f64 (+.f64 4 (fma.f64 x (neg.f64 z) x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)
(/.f64 (+.f64 4 (fma.f64 x (neg.f64 z) x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)
(/.f64 (+.f64 4 (fma.f64 x (neg.f64 z) x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)
(/.f64 (+.f64 4 (fma.f64 x (neg.f64 z) x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)
(/.f64 (+.f64 4 (fma.f64 x (neg.f64 z) x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)
(/.f64 (+.f64 4 (fma.f64 x (neg.f64 z) x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y)
(/.f64 (-.f64 (+.f64 4 x) (*.f64 x z)) y)
(/.f64 (+.f64 4 (-.f64 x (*.f64 x z))) y)
(/.f64 (+.f64 4 (fma.f64 x (neg.f64 z) x)) y)
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (*.f64 x (-.f64 1 z)) y)
(*.f64 (/.f64 (-.f64 1 z) y) x)
(/.f64 (fma.f64 x (neg.f64 z) x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (-.f64 1 z) x) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)
(/.f64 (*.f64 x (-.f64 1 z)) y)
(*.f64 (/.f64 (-.f64 1 z) y) x)
(/.f64 (fma.f64 x (neg.f64 z) x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(/.f64 (+.f64 4 x) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(fma.f64 x (/.f64 (-.f64 1 z) y) (/.f64 4 y))

localize6.0ms (0%)

Compiler

Compiled 12 to 5 computations (58.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.3b
(*.f64 z (/.f64 x y))
Compiler

Compiled 20 to 6 computations (70% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite45.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
681×pow1_binary64
628×add-log-exp_binary64
628×log1p-expm1-u_binary64
628×expm1-log1p-u_binary64
613×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11257
216727
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 z (/.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 x y))))))))

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×associate-/l*_binary64
2×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06252
19252
213252
316252
417252
Stop Event
1×saturated
Counts
58 → 23
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
Outputs
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))

localize38.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.3b
(/.f64 z (/.f64 y x))
Compiler

Compiled 20 to 6 computations (70% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
z
@0
(/.f64 z (/.f64 y x))
0.0ms
x
@-inf
(/.f64 z (/.f64 y x))
0.0ms
y
@-inf
(/.f64 z (/.f64 y x))
0.0ms
y
@inf
(/.f64 z (/.f64 y x))
0.0ms
z
@inf
(/.f64 z (/.f64 y x))

rewrite72.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
780×pow1_binary64
724×add-log-exp_binary64
724×log1p-expm1-u_binary64
724×expm1-log1p-u_binary64
707×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11317
219157
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(/.f64 z (/.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (cbrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 (cbrt.f64 z) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 z (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 z (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 z x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 z (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 x y))))))))

simplify35.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×associate-/l*_binary64
2×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06252
19252
213252
316252
417252
Stop Event
1×saturated
Counts
77 → 42
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
Outputs
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 -4 x) y)
Compiler

Compiled 20 to 13 computations (35% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (-.f64 -4 x) y)
1.0ms
y
@0
(/.f64 (-.f64 -4 x) y)
0.0ms
x
@-inf
(/.f64 (-.f64 -4 x) y)
0.0ms
x
@inf
(/.f64 (-.f64 -4 x) y)
0.0ms
y
@inf
(/.f64 (-.f64 -4 x) y)

rewrite89.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
842×pow1_binary64
791×add-log-exp_binary64
791×log1p-expm1-u_binary64
791×expm1-log1p-u_binary64
777×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11407
219827
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (-.f64 -4 x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -4 y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -4 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 -4 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -4 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -4 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 -4 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 -4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (*.f64 (cbrt.f64 (-.f64 -4 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 -4 x) y)) (sqrt.f64 (/.f64 (-.f64 -4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -4 x)) (*.f64 (sqrt.f64 (-.f64 -4 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 -4 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 -4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -4 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -4 x)) 1) (/.f64 (sqrt.f64 (-.f64 -4 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 -4 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 -4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -4 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 -4 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 -4 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 -4 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -4 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 -4 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 -4 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 -4 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 -4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 -4 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 -4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 -4 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 -4 x) y)))))))

simplify44.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
152×fma-def_binary64
111×fma-neg_binary64
35×div-sub_binary64
33×cancel-sign-sub-inv_binary64
29×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016268
136247
269226
3107163
4187163
5297163
6476163
7717163
8790163
9804163
Stop Event
1×saturated
Counts
57 → 39
Calls
Call 1
Inputs
(/.f64 -4 y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(*.f64 -1 (/.f64 x y))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(*.f64 -1 (/.f64 x y))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
Outputs
(/.f64 -4 y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (neg.f64 (/.f64 x y)) (/.f64 4 y))
(fma.f64 -1 (/.f64 x y) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(/.f64 (-.f64 -4 x) y)

eval239.0ms (1.9%)

Compiler

Compiled 3905 to 2260 computations (42.1% saved)

prune48.0ms (0.4%)

Pruning

14 alts after pruning (2 fresh and 12 done)

PrunedKeptTotal
New2460246
Fresh022
Picked011
Done01111
Total24614260
Error
0b
Counts
260 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
31.5b
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
✓3.6b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
✓48.7b
(fabs.f64 (/.f64 x y))
✓3.6b
(fabs.f64 (/.f64 1 (/.f64 y (+.f64 x (-.f64 4 (*.f64 x z))))))
✓19.5b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
46.5b
(fabs.f64 (*.f64 (/.f64 1 y) (*.f64 z x)))
✓32.0b
(fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))
✓44.2b
(fabs.f64 (/.f64 z (/.f64 y x)))
✓3.6b
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
✓31.9b
(fabs.f64 (/.f64 4 y))
✓46.5b
(fabs.f64 (/.f64 (*.f64 z x) y))
✓44.8b
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
✓44.8b
(fabs.f64 (*.f64 (/.f64 z y) x))
✓44.2b
(fabs.f64 (*.f64 z (/.f64 x y)))
Compiler

Compiled 146 to 104 computations (28.8% saved)

regimes170.0ms (1.4%)

Counts
24 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (*.f64 (/.f64 1 y) (*.f64 z x)))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
(fabs.f64 (/.f64 (*.f64 (-.f64 z 1) x) y))
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(fabs.f64 (/.f64 1 (/.f64 y (+.f64 x (-.f64 4 (*.f64 x z))))))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (*.f64 (+.f64 x 4) y) (*.f64 y (*.f64 x z))) (*.f64 y y)))
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 x)) y))
(fabs.f64 (*.f64 (/.f64 1 y) (-.f64 (fma.f64 x z -4) x)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) z)) 2)))
Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
Calls

5 calls:

59.0ms
x
38.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
27.0ms
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
24.0ms
y
14.0ms
z
Results
ErrorSegmentsBranch
0.1b3x
1.6b1y
1.6b1z
0.1b2(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
0.1b3(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
Compiler

Compiled 245 to 138 computations (43.7% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
58261292016060.64
641697914173816.1
0.0ms
-3.8972300163622034e-16
-2.6542927842479013e-21
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes91.0ms (0.7%)

Counts
19 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (*.f64 (/.f64 1 y) (*.f64 z x)))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
(fabs.f64 (/.f64 (*.f64 (-.f64 z 1) x) y))
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(fabs.f64 (/.f64 1 (/.f64 y (+.f64 x (-.f64 4 (*.f64 x z))))))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 z x) y)))
Outputs
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))
Calls

3 calls:

44.0ms
z
29.0ms
x
13.0ms
y
Results
ErrorSegmentsBranch
0.1b3x
3.6b1y
3.6b1z
Compiler

Compiled 153 to 85 computations (44.4% saved)

bsearch15.0ms (0.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
9.0ms
1.2814841078862515e+63
6.774767715139132e+72
6.0ms
-1.7395186211869472e+125
-7.131551624682814e+124
Compiler

Compiled 73 to 53 computations (27.4% saved)

regimes163.0ms (1.3%)

Counts
16 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (*.f64 (/.f64 1 y) (*.f64 z x)))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
(fabs.f64 (/.f64 (*.f64 (-.f64 z 1) x) y))
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
Outputs
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))
Calls

3 calls:

91.0ms
y
39.0ms
z
27.0ms
x
Results
ErrorSegmentsBranch
7.3b3x
14.5b6y
10.7b3z
Compiler

Compiled 119 to 67 computations (43.7% saved)

bsearch255.0ms (2.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
2.511117432626301e-77
2.1835879412974683e-73
232.0ms
-2.9947077402429412e-27
-1.85101203407439e-36
Compiler

Compiled 219 to 168 computations (23.3% saved)

regimes118.0ms (1%)

Counts
12 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (*.f64 (/.f64 1 y) (*.f64 z x)))
Outputs
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))
Calls

3 calls:

45.0ms
y
38.0ms
z
32.0ms
x
Results
ErrorSegmentsBranch
7.4b3x
15.0b6y
10.7b3z
Compiler

Compiled 87 to 47 computations (46% saved)

bsearch272.0ms (2.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
40.0ms
2.6970903300718654e-56
3.2176489368353165e-56
232.0ms
-2.9947077402429412e-27
-1.85101203407439e-36
Compiler

Compiled 219 to 168 computations (23.3% saved)

regimes193.0ms (1.6%)

Counts
10 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 x (/.f64 (neg.f64 z) y)))
Outputs
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 z (/.f64 y x)))
Calls

3 calls:

99.0ms
x
49.0ms
z
40.0ms
y
Results
ErrorSegmentsBranch
13.3b8x
17.8b3y
11.0b3z
Compiler

Compiled 71 to 39 computations (45.1% saved)

bsearch156.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
0.001959311428655546
155856622.20709565
134.0ms
-3.1630358388964123e+152
-3.2605915497000765e+141
Compiler

Compiled 221 to 165 computations (25.3% saved)

regimes204.0ms (1.6%)

Counts
8 → 8
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 (*.f64 z x) y))
Outputs
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 x y))
Calls

3 calls:

93.0ms
x
62.0ms
z
46.0ms
y
Results
ErrorSegmentsBranch
13.5b8x
27.9b4y
20.4b7z
Compiler

Compiled 58 to 31 computations (46.6% saved)

bsearch481.0ms (3.9%)

Algorithm
7×binary-search
Steps
TimeLeftRight
24.0ms
1.4255486694142683e+270
2.753126318377378e+274
20.0ms
6.89616133602184e+251
1.737042545293213e+253
109.0ms
7160.562590402949
578455.5752640655
29.0ms
2.511117432626301e-77
2.1835879412974683e-73
97.0ms
-9.406959561644957e-17
-2.6098693458217952e-17
126.0ms
-1.24563262028472e+20
-230904009946577020.0
75.0ms
-3.1512265378924845e+155
-5.330526721541704e+153
Compiler

Compiled 777 to 566 computations (27.2% saved)

regimes202.0ms (1.6%)

Counts
7 → 8
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (*.f64 z (/.f64 x y)))
Outputs
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 x y))
Calls

3 calls:

83.0ms
x
69.0ms
z
47.0ms
y
Results
ErrorSegmentsBranch
13.5b8x
27.9b4y
20.4b7z
Compiler

Compiled 52 to 28 computations (46.2% saved)

bsearch1.2s (9.6%)

Algorithm
7×binary-search
Steps
TimeLeftRight
98.0ms
1.4255486694142683e+270
2.753126318377378e+274
40.0ms
6.89616133602184e+251
1.737042545293213e+253
347.0ms
7160.562590402949
578455.5752640655
41.0ms
2.511117432626301e-77
2.1835879412974683e-73
272.0ms
-9.406959561644957e-17
-2.6098693458217952e-17
306.0ms
-1.24563262028472e+20
-230904009946577020.0
84.0ms
-3.1512265378924845e+155
-5.330526721541704e+153
Compiler

Compiled 777 to 566 computations (27.2% saved)

regimes176.0ms (1.4%)

Counts
5 → 8
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (*.f64 z (/.f64 x y)))
Outputs
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x y))
Calls

3 calls:

85.0ms
z
53.0ms
y
36.0ms
x
Results
ErrorSegmentsBranch
13.6b8x
28.4b4y
20.4b7z
Compiler

Compiled 40 to 25 computations (37.5% saved)

bsearch575.0ms (4.6%)

Algorithm
7×binary-search
Steps
TimeLeftRight
23.0ms
1.4255486694142683e+270
2.753126318377378e+274
30.0ms
6.89616133602184e+251
1.737042545293213e+253
160.0ms
7160.562590402949
578455.5752640655
46.0ms
2.6970903300718654e-56
3.2176489368353165e-56
109.0ms
-9.406959561644957e-17
-2.6098693458217952e-17
139.0ms
-1.24563262028472e+20
-230904009946577020.0
68.0ms
-3.1512265378924845e+155
-5.330526721541704e+153
Compiler

Compiled 777 to 566 computations (27.2% saved)

regimes82.0ms (0.7%)

Counts
4 → 8
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (/.f64 z (/.f64 y x)))
Outputs
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 x y))
Calls

3 calls:

32.0ms
x
31.0ms
z
17.0ms
y
Results
ErrorSegmentsBranch
13.6b8x
28.4b4y
20.4b7z
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch472.0ms (3.8%)

Algorithm
7×binary-search
Steps
TimeLeftRight
22.0ms
1.4255486694142683e+270
2.753126318377378e+274
21.0ms
6.89616133602184e+251
1.737042545293213e+253
108.0ms
7160.562590402949
578455.5752640655
30.0ms
2.6970903300718654e-56
3.2176489368353165e-56
123.0ms
-9.406959561644957e-17
-2.6098693458217952e-17
124.0ms
-1.24563262028472e+20
-230904009946577020.0
43.0ms
-3.1512265378924845e+155
-5.330526721541704e+153
Compiler

Compiled 777 to 566 computations (27.2% saved)

regimes34.0ms (0.3%)

Accuracy

Total -40.9b remaining (-206.8%)

Threshold costs -40.9b (-206.8%)

Counts
3 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
Outputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 x y))
Calls

3 calls:

18.0ms
z
11.0ms
x
4.0ms
y
Results
ErrorSegmentsBranch
19.8b3x
31.9b1y
29.0b5z
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch948.0ms (7.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
805.0ms
3.6858001934127286e-7
2436.9868404478907
143.0ms
-6695.477149093999
-0.006298456825865548
Compiler

Compiled 325 to 262 computations (19.4% saved)

simplify42.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
17×+-commutative_binary64
17×sub-neg_binary64
12×fabs-mul_binary64
11×*-commutative_binary64
10×fabs-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105717
1149717
2189717
3209717
4223717
5237717
6242717
7244717
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) -2028240960365167/10141204801825835211973625643008) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) 100000000000000) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -99999999999999992486776161899288204254467086983483846143922597222529419997579302660316349376281765375153005841365553228283904) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) (if (<=.f64 x 10000000000000000725314363815292351261583744096465219555182101554790400) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))))
(if (<=.f64 x -8084020134467351/2787593149816327892691964784081045188247552) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) (if (<=.f64 x 6547502785357395/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))))
(if (<=.f64 x -8084020134467351/2787593149816327892691964784081045188247552) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) (if (<=.f64 x 5956682666412049/220855883097298041197912187592864814478435487109452369765200775161577472) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x)))))
(if (<=.f64 z -309999999999999998056647797081424021098948147733423764803288574928020366331336456216168547894717135402488417608214172270769648857138583858392654747271168) (fabs.f64 (/.f64 z (/.f64 y x))) (if (<=.f64 z 2258932280318943/1152921504606846976) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (/.f64 z (/.f64 y x)))))
(if (<=.f64 x -309999999999999989125253552937006550028857196405624046665743534802256041592384888684472975557283453570252786437487478660119783359339789411119469934854275072) (fabs.f64 (/.f64 z (/.f64 y x))) (if (<=.f64 x -235000000000000000) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -7463926734143815/81129638414606681695789005144064) (fabs.f64 (/.f64 (*.f64 z x) y)) (if (<=.f64 x 6547502785357395/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 7200) (fabs.f64 (*.f64 (/.f64 z y) x)) (if (<=.f64 x 17000000000000000871617871324818867011255281769737620317480463970697584538780758623364042407682206836112349909524160793266503373250929032645897705701296747840010891950923970632759763266833249744531480931391892413635610700159987441933446887584315366965248) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 1449999999999999950488086933837944491025588883096956457923735416267831076529928066518915808435944401883377134976687352160866394106737670555908212591282069768738887789555206880980413238862758080098039146508009506008845879511311806318979777565635854957166261444608247463936) (fabs.f64 (*.f64 (/.f64 z y) x)) (fabs.f64 (/.f64 x y)))))))))
(if (<=.f64 x -309999999999999989125253552937006550028857196405624046665743534802256041592384888684472975557283453570252786437487478660119783359339789411119469934854275072) (fabs.f64 (/.f64 z (/.f64 y x))) (if (<=.f64 x -235000000000000000) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -7463926734143815/81129638414606681695789005144064) (fabs.f64 (*.f64 z (/.f64 x y))) (if (<=.f64 x 6547502785357395/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 7200) (fabs.f64 (*.f64 (/.f64 z y) x)) (if (<=.f64 x 17000000000000000871617871324818867011255281769737620317480463970697584538780758623364042407682206836112349909524160793266503373250929032645897705701296747840010891950923970632759763266833249744531480931391892413635610700159987441933446887584315366965248) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 1449999999999999950488086933837944491025588883096956457923735416267831076529928066518915808435944401883377134976687352160866394106737670555908212591282069768738887789555206880980413238862758080098039146508009506008845879511311806318979777565635854957166261444608247463936) (fabs.f64 (*.f64 (/.f64 z y) x)) (fabs.f64 (/.f64 x y)))))))))
(if (<=.f64 x -309999999999999989125253552937006550028857196405624046665743534802256041592384888684472975557283453570252786437487478660119783359339789411119469934854275072) (fabs.f64 (/.f64 z (/.f64 y x))) (if (<=.f64 x -235000000000000000) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -7463926734143815/81129638414606681695789005144064) (fabs.f64 (*.f64 z (/.f64 x y))) (if (<=.f64 x 5956682666412049/220855883097298041197912187592864814478435487109452369765200775161577472) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 7200) (fabs.f64 (/.f64 z (/.f64 y x))) (if (<=.f64 x 17000000000000000871617871324818867011255281769737620317480463970697584538780758623364042407682206836112349909524160793266503373250929032645897705701296747840010891950923970632759763266833249744531480931391892413635610700159987441933446887584315366965248) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 1449999999999999950488086933837944491025588883096956457923735416267831076529928066518915808435944401883377134976687352160866394106737670555908212591282069768738887789555206880980413238862758080098039146508009506008845879511311806318979777565635854957166261444608247463936) (fabs.f64 (/.f64 z (/.f64 y x))) (fabs.f64 (/.f64 x y)))))))))
(if (<=.f64 x -309999999999999989125253552937006550028857196405624046665743534802256041592384888684472975557283453570252786437487478660119783359339789411119469934854275072) (fabs.f64 (/.f64 z (/.f64 y x))) (if (<=.f64 x -235000000000000000) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -7463926734143815/81129638414606681695789005144064) (fabs.f64 (/.f64 z (/.f64 y x))) (if (<=.f64 x 5956682666412049/220855883097298041197912187592864814478435487109452369765200775161577472) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 7200) (fabs.f64 (/.f64 z (/.f64 y x))) (if (<=.f64 x 17000000000000000871617871324818867011255281769737620317480463970697584538780758623364042407682206836112349909524160793266503373250929032645897705701296747840010891950923970632759763266833249744531480931391892413635610700159987441933446887584315366965248) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 1449999999999999950488086933837944491025588883096956457923735416267831076529928066518915808435944401883377134976687352160866394106737670555908212591282069768738887789555206880980413238862758080098039146508009506008845879511311806318979777565635854957166261444608247463936) (fabs.f64 (/.f64 z (/.f64 y x))) (fabs.f64 (/.f64 x y)))))))))
(if (<=.f64 x -4) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 4) (fabs.f64 (/.f64 4 y)) (fabs.f64 (/.f64 x y))))
(fabs.f64 (/.f64 x y))
Outputs
(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) -2028240960365167/10141204801825835211973625643008) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) 100000000000000) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) -2028240960365167/10141204801825835211973625643008) (fabs.f64 (-.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) 100000000000000) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (fabs.f64 (-.f64 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y)))))
(if (<=.f64 x -99999999999999992486776161899288204254467086983483846143922597222529419997579302660316349376281765375153005841365553228283904) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) (if (<=.f64 x 10000000000000000725314363815292351261583744096465219555182101554790400) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))))
(if (<=.f64 x -99999999999999992486776161899288204254467086983483846143922597222529419997579302660316349376281765375153005841365553228283904) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) (if (<=.f64 x 10000000000000000725314363815292351261583744096465219555182101554790400) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (fabs.f64 (*.f64 x (/.f64 (-.f64 1 z) y)))))
(if (<=.f64 x -8084020134467351/2787593149816327892691964784081045188247552) (fabs.f64 (/.f64 (-.f64 1 z) (/.f64 y x))) (if (<=.f64 x 6547502785357395/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))))
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(if (<=.f64 x -4) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 4) (fabs.f64 (/.f64 4 y)) (fabs.f64 (/.f64 x y))))
(if (<=.f64 x -4) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 4) (/.f64 4 (fabs.f64 y)) (fabs.f64 (/.f64 x y))))
(fabs.f64 (/.f64 x y))
Compiler

Compiled 511 to 281 computations (45% saved)

soundness0.0ms (0%)

end144.0ms (1.2%)

Compiler

Compiled 481 to 213 computations (55.7% saved)

Profiling

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