Details

Time bar (total: 8.7s)

analyze304.0ms (3.5%)

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)

sample1.7s (19%)

Results
1.3s8256×body256valid
298.0ms1690×body256infinite
Bogosity

preprocess90.0ms (1%)

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)

simplify104.0ms (1.2%)

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)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶4.1b
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 x)) y))
▶1.5b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize51.0ms (0.6%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
✓0.0b
(/.f64 (+.f64 x 4) y)
✓3.6b
(*.f64 (/.f64 x y) z)
Compiler

Compiled 46 to 20 computations (56.5% saved)

series16.0ms (0.2%)

Counts
3 → 96
Calls

24 calls:

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

rewrite130.0ms (1.5%)

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 x 4) y)
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
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 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))))))
((#(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 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(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 fma.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))) (fma.f64 (/.f64 (neg.f64 x) y) z (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (neg.f64 x) y) z (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (neg.f64 z))) 2) (cbrt.f64 (*.f64 (/.f64 x y) (neg.f64 z))) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 x y) (neg.f64 z))) (sqrt.f64 (*.f64 (/.f64 x y) (neg.f64 z))) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 x y) z))) (sqrt.f64 (*.f64 (/.f64 x y) z)) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 (/.f64 x y) z) (/.f64 (+.f64 x 4) y))))) (#(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) (*.f64 (/.f64 x y) (neg.f64 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) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) 1) (/.f64 (sqrt.f64 (+.f64 x 4)) y) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) 1) (/.f64 (sqrt.f64 (+.f64 x 4)) y) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (+.f64 x 4) (cbrt.f64 y)) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (+.f64 x 4) (cbrt.f64 y)) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 4) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 x 4) y)) (*.f64 (/.f64 x y) (neg.f64 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)) (cbrt.f64 (/.f64 (+.f64 x 4) y)) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(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)) (*.f64 (/.f64 x y) (neg.f64 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)) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 (+.f64 x 4) (sqrt.f64 y)) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 (+.f64 x 4) (sqrt.f64 y)) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(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)) (*.f64 (/.f64 x y) (neg.f64 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)) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(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 (/.f64 x y) (neg.f64 z)) 1 (*.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 (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 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))))))

simplify109.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
714×fma-neg_binary64
463×fma-def_binary64
221×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
41261790
52879790
63594790
73778790
83853790
93853790
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 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)
(/.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 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 4 y)
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(/.f64 (+.f64 x 4) y)
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(/.f64 (+.f64 x 4) y)
(/.f64 x y)
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(/.f64 (+.f64 x 4) y)
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(/.f64 (+.f64 x 4) y)
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(/.f64 (+.f64 x 4) y)
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(/.f64 (+.f64 x 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y))
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(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
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(/.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)
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(/.f64 (+.f64 x 4) y)
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(/.f64 (+.f64 x 4) y)
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(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
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(/.f64 (+.f64 x 4) y)
(/.f64 (+.f64 4 x) y)
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(/.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 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 (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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 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 x (/.f64 z y)))
(-.f64 (/.f64 x y) (*.f64 z (/.f64 x y)))
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 x (/.f64 y (-.f64 1 z)))
(+.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 (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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 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 x (/.f64 z y)))
(-.f64 (/.f64 x y) (*.f64 z (/.f64 x y)))
(*.f64 (/.f64 x y) (-.f64 1 z))
(/.f64 x (/.f64 y (-.f64 1 z)))
(+.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 (fma.f64 x (-.f64 1 z) 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 (fma.f64 x (-.f64 1 z) 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 (fma.f64 x (-.f64 1 z) 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 (fma.f64 x (-.f64 1 z) 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 (fma.f64 x (-.f64 1 z) 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 (fma.f64 x (-.f64 1 z) 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 (fma.f64 x (-.f64 1 z) 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 (fma.f64 x (-.f64 1 z) 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 (fma.f64 x (-.f64 1 z) 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 (fma.f64 x (-.f64 1 z) 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 (fma.f64 x (-.f64 1 z) 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 (fma.f64 x (-.f64 1 z) 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 (fma.f64 x (-.f64 1 z) 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 (fma.f64 x (-.f64 1 z) 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 (fma.f64 x (-.f64 1 z) 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 (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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 (*.f64 z x)) y)
(neg.f64 (/.f64 (*.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (neg.f64 (/.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 (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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 (*.f64 z x)) y)
(neg.f64 (/.f64 (*.f64 z x) y))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 x (neg.f64 (/.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 (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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.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 x (-.f64 (/.f64 1 y) (/.f64 z y))))
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y))
(/.f64 (fma.f64 x (-.f64 1 z) 4) y)

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓3.9b
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)
Compiler

Compiled 33 to 18 computations (45.5% saved)

series28.0ms (0.3%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
20.0ms
x
@-inf
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)
2.0ms
x
@inf
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)
1.0ms
y
@0
(/.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)

rewrite70.0ms (0.8%)

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) 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(sqrt.f64 (-.f64 (fma.f64 x z -4) x)) (pow.f64 (cbrt.f64 y) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) (cbrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 y -1/2) 1) (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (sqrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2) (sqrt.f64 y)) 1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) (sqrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 2) (-.f64 (fma.f64 x z -4) x)) 1/3) (cbrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z 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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)))))))

simplify147.0ms (1.7%)

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)

eval190.0ms (2.2%)

Compiler

Compiled 5825 to 3105 computations (46.7% saved)

prune65.0ms (0.7%)

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
▶45.6b
(fabs.f64 (*.f64 x (neg.f64 (/.f64 z y))))
▶30.6b
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
▶1.8b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
16.8b
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
35.7b
(fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 2))
30.6b
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
▶32.5b
(fabs.f64 (/.f64 -4 y))
4.1b
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
45.6b
(fabs.f64 (*.f64 z (/.f64 x y)))
▶48.3b
(fabs.f64 (/.f64 (*.f64 z x) y))
17.6b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
5.2b
(fabs.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 3))
Compiler

Compiled 276 to 198 computations (28.3% saved)

localize21.0ms (0.2%)

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 z (/.f64 y x)))
✓3.9b
(/.f64 z (/.f64 y x))
Compiler

Compiled 46 to 20 computations (56.5% saved)

series5.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

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

rewrite112.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
699×log-prod_binary64
425×fma-def_binary64
298×log-div_binary64
256×fma-neg_binary64
241×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
124523
2402423
Stop Event
1×node limit
Counts
2 → 202
Calls
Call 1
Inputs
(/.f64 z (/.f64 y x))
(-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))
Outputs
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simplify207.0ms (2.4%)

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
033880
196820
2217820
3537820
41265631
52888631
63604631
73788631
83863631
93863631
Stop Event
1×saturated
Counts
274 → 217
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))))
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)

localize7.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓6.7b
(/.f64 (*.f64 z x) y)
Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts
1 → 0
Calls

9 calls:

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

rewrite77.0ms (0.9%)

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)))))))

simplify12.0ms (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

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓5.7b
(*.f64 x (neg.f64 (/.f64 z y)))
Compiler

Compiled 26 to 7 computations (73.1% saved)

series6.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite58.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
692×pow1_binary64
638×add-log-exp_binary64
637×log1p-expm1-u_binary64
637×expm1-log1p-u_binary64
624×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11497
220337
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 x (neg.f64 (/.f64 z y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (/.f64 z y)))))) (#(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 (*.f64 (neg.f64 z) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 z)) 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 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 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))))))))

simplify31.0ms (0.4%)

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
56 → 22
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)))

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 y (-.f64 1 z))
✓2.8b
(/.f64 x (/.f64 y (-.f64 1 z)))
Compiler

Compiled 30 to 18 computations (40% saved)

series15.0ms (0.2%)

Counts
2 → 48
Calls

15 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
(/.f64 y (-.f64 1 z))
2.0ms
z
@-inf
(/.f64 x (/.f64 y (-.f64 1 z)))
1.0ms
x
@0
(/.f64 x (/.f64 y (-.f64 1 z)))
1.0ms
y
@inf
(/.f64 y (-.f64 1 z))
1.0ms
y
@0
(/.f64 x (/.f64 y (-.f64 1 z)))

rewrite84.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
478×log-prod_binary64
377×exp-prod_binary64
304×prod-exp_binary64
256×pow-prod-down_binary64
238×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
117517
2251817
Stop Event
1×node limit
Counts
2 → 133
Calls
Call 1
Inputs
(/.f64 x (/.f64 y (-.f64 1 z)))
(/.f64 y (-.f64 1 z))
Outputs
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*.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) 2) (cbrt.f64 (/.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (-.f64 1 z))) (sqrt.f64 (/.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) -2) (/.f64 y (cbrt.f64 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 (pow.f64 (-.f64 1 z) 2))) (cbrt.f64 (/.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 (-.f64 1 z) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 z) -1/2) (/.f64 y (sqrt.f64 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 (-.f64 1 z))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 1 (*.f64 z z))) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (-.f64 1 z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (-.f64 1 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (-.f64 1 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 z) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 1 z) y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 y (-.f64 1 z)))) 2)) (cbrt.f64 (log.f64 (/.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 y (-.f64 1 z))))) (sqrt.f64 (log.f64 (/.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (-.f64 1 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (-.f64 1 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 1 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 y (-.f64 1 z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (-.f64 1 z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (-.f64 1 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 z) y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (-.f64 1 z))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (log1p.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (*.f64 (log1p.f64 (neg.f64 z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) 1) (*.f64 (log1p.f64 (neg.f64 z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (neg.f64 (log1p.f64 (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log1p.f64 (neg.f64 z))) (*.f64 (log.f64 y) 1)))))))

simplify55.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
777×associate-/l*_binary64
528×fma-def_binary64
434×distribute-lft-out_binary64
395×sub-neg_binary64
319×distribute-rgt-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
043559
1124545
2339531
31046511
44328505
Stop Event
1×node limit
Counts
181 → 153
Calls
Call 1
Inputs
(/.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 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))
y
(+.f64 (*.f64 y z) y)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y (pow.f64 z 2)) y))
(+.f64 (*.f64 y z) (+.f64 (*.f64 y (pow.f64 z 2)) (+.f64 y (*.f64 y (pow.f64 z 3)))))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (*.f64 -1 (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 y z)) (*.f64 -1 (/.f64 y (pow.f64 z 3)))))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 y z)) (+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 4))) (*.f64 -1 (/.f64 y (pow.f64 z 3))))))
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (*.f64 -1 (/.f64 y z)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 y z)) (*.f64 -1 (/.f64 y (pow.f64 z 3)))))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 y z)) (+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 4))) (*.f64 -1 (/.f64 y (pow.f64 z 3))))))
Outputs
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 z) x) y)
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
y
(+.f64 (*.f64 y z) y)
(fma.f64 y z y)
(fma.f64 z y y)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y (pow.f64 z 2)) y))
(fma.f64 y z (fma.f64 y (*.f64 z z) y))
(fma.f64 z y (fma.f64 y (*.f64 z z) y))
(*.f64 y (+.f64 z (fma.f64 z z 1)))
(fma.f64 z (fma.f64 z y y) y)
(fma.f64 y (fma.f64 z z z) y)
(+.f64 (*.f64 y z) (+.f64 (*.f64 y (pow.f64 z 2)) (+.f64 y (*.f64 y (pow.f64 z 3)))))
(fma.f64 y z (+.f64 (fma.f64 y (*.f64 z z) y) (*.f64 y (pow.f64 z 3))))
(fma.f64 z y (fma.f64 y (*.f64 z z) (fma.f64 y (pow.f64 z 3) y)))
(+.f64 (fma.f64 z y y) (*.f64 (*.f64 z z) (fma.f64 z y y)))
(*.f64 (fma.f64 z z 1) (fma.f64 z y y))
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (*.f64 -1 (/.f64 y z)))
(fma.f64 -1 (/.f64 y (*.f64 z z)) (neg.f64 (/.f64 y z)))
(-.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 y z) z))
(*.f64 (/.f64 y z) (+.f64 -1 (/.f64 -1 z)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 y z)) (*.f64 -1 (/.f64 y (pow.f64 z 3)))))
(fma.f64 -1 (/.f64 y (*.f64 z z)) (fma.f64 -1 (/.f64 y z) (neg.f64 (/.f64 y (pow.f64 z 3)))))
(-.f64 (-.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 y z) z)) (/.f64 y (pow.f64 z 3)))
(-.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 -1 (/.f64 -1 z))) (/.f64 y z))
(-.f64 (*.f64 (/.f64 y z) (+.f64 -1 (/.f64 -1 z))) (/.f64 y (pow.f64 z 3)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 y z)) (+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 4))) (*.f64 -1 (/.f64 y (pow.f64 z 3))))))
(fma.f64 -1 (/.f64 y (*.f64 z z)) (fma.f64 -1 (/.f64 y z) (fma.f64 -1 (/.f64 y (pow.f64 z 4)) (neg.f64 (/.f64 y (pow.f64 z 3))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 y) (pow.f64 z 3)) (/.f64 y (pow.f64 z 4))) (/.f64 y z)) (/.f64 (/.f64 y z) z))
(-.f64 (-.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 -1 (/.f64 -1 z))) (/.f64 y z)) (/.f64 y (pow.f64 z 4)))
(*.f64 (+.f64 (/.f64 y z) (/.f64 y (*.f64 z z))) (+.f64 -1 (/.f64 -1 (*.f64 z z))))
(*.f64 (+.f64 (/.f64 -1 (pow.f64 z 3)) (/.f64 -1 z)) (+.f64 (/.f64 y z) y))
(*.f64 -1 (/.f64 y z))
(neg.f64 (/.f64 y z))
(/.f64 (neg.f64 y) z)
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (*.f64 -1 (/.f64 y z)))
(fma.f64 -1 (/.f64 y (*.f64 z z)) (neg.f64 (/.f64 y z)))
(-.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 y z) z))
(*.f64 (/.f64 y z) (+.f64 -1 (/.f64 -1 z)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 y z)) (*.f64 -1 (/.f64 y (pow.f64 z 3)))))
(fma.f64 -1 (/.f64 y (*.f64 z z)) (fma.f64 -1 (/.f64 y z) (neg.f64 (/.f64 y (pow.f64 z 3)))))
(-.f64 (-.f64 (/.f64 (neg.f64 y) z) (/.f64 (/.f64 y z) z)) (/.f64 y (pow.f64 z 3)))
(-.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 -1 (/.f64 -1 z))) (/.f64 y z))
(-.f64 (*.f64 (/.f64 y z) (+.f64 -1 (/.f64 -1 z))) (/.f64 y (pow.f64 z 3)))
(+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 y z)) (+.f64 (*.f64 -1 (/.f64 y (pow.f64 z 4))) (*.f64 -1 (/.f64 y (pow.f64 z 3))))))
(fma.f64 -1 (/.f64 y (*.f64 z z)) (fma.f64 -1 (/.f64 y z) (fma.f64 -1 (/.f64 y (pow.f64 z 4)) (neg.f64 (/.f64 y (pow.f64 z 3))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 y) (pow.f64 z 3)) (/.f64 y (pow.f64 z 4))) (/.f64 y z)) (/.f64 (/.f64 y z) z))
(-.f64 (-.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 -1 (/.f64 -1 z))) (/.f64 y z)) (/.f64 y (pow.f64 z 4)))
(*.f64 (+.f64 (/.f64 y z) (/.f64 y (*.f64 z z))) (+.f64 -1 (/.f64 -1 (*.f64 z z))))
(*.f64 (+.f64 (/.f64 -1 (pow.f64 z 3)) (/.f64 -1 z)) (+.f64 (/.f64 y z) y))

eval191.0ms (2.2%)

Compiler

Compiled 8517 to 4123 computations (51.6% saved)

prune147.0ms (1.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New4678475
Fresh347
Picked101
Done224
Total47314487
Error
0b
Counts
487 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
45.7b
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
30.6b
(fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))
▶46.4b
(fabs.f64 (/.f64 x y))
✓32.5b
(fabs.f64 (/.f64 -4 y))
17.1b
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
▶4.1b
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
19.2b
(fabs.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y) (/.f64 y x)))
45.6b
(fabs.f64 (*.f64 z (/.f64 x y)))
45.6b
(fabs.f64 (/.f64 x (/.f64 y z)))
▶30.6b
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
▶45.6b
(fabs.f64 (*.f64 (/.f64 z y) x))
✓48.3b
(fabs.f64 (/.f64 (*.f64 z x) y))
35.7b
(fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 2))
▶17.6b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
Compiler

Compiled 292 to 202 computations (30.8% saved)

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓3.9b
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
Compiler

Compiled 39 to 19 computations (51.3% saved)

series90.0ms (1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
85.0ms
z
@0
(/.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
x
@-inf
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
1.0ms
x
@0
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

rewrite61.0ms (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)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)) 2) (cbrt.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x (-.f64 4 (*.f64 x z))) 2)) (*.f64 (cbrt.f64 (+.f64 x (-.f64 4 (*.f64 x z)))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)) (sqrt.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (-.f64 4 (*.f64 x z)))) (*.f64 (sqrt.f64 (+.f64 x (-.f64 4 (*.f64 x z)))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x (-.f64 4 (*.f64 x z)))) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (+.f64 x (-.f64 4 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (-.f64 4 (*.f64 x z))) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x (-.f64 4 (*.f64 x z)))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (-.f64 4 (*.f64 x z)))) 1) (/.f64 (sqrt.f64 (+.f64 x (-.f64 4 (*.f64 x z)))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (-.f64 4 (*.f64 x z))) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 x (-.f64 4 (*.f64 x z))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (-.f64 4 (*.f64 x z)))) (pow.f64 (cbrt.f64 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))))))))

simplify87.0ms (1%)

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)

localize6.0ms (0.1%)

Compiler

Compiled 12 to 5 computations (58.3% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓5.7b
(*.f64 (/.f64 z y) x)
Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite82.0ms (0.9%)

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)))))))

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
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))

localize40.0ms (0.5%)

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

rewrite54.0ms (0.6%)

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)))))))

simplify28.0ms (0.3%)

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)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓3.5b
(*.f64 (/.f64 x y) (-.f64 1 z))
Compiler

Compiled 28 to 14 computations (50% saved)

series36.0ms (0.4%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
33.0ms
y
@-inf
(*.f64 (/.f64 x y) (-.f64 1 z))
0.0ms
z
@0
(*.f64 (/.f64 x y) (-.f64 1 z))
0.0ms
x
@0
(*.f64 (/.f64 x y) (-.f64 1 z))
0.0ms
x
@-inf
(*.f64 (/.f64 x y) (-.f64 1 z))
0.0ms
x
@inf
(*.f64 (/.f64 x y) (-.f64 1 z))

rewrite58.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
956×pow1_binary64
888×add-log-exp_binary64
888×log1p-expm1-u_binary64
888×expm1-log1p-u_binary64
870×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
116910
2230210
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (-.f64 1 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 x y) (-.f64 1 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 z) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 z 3)) (*.f64 (/.f64 y x) (+.f64 1 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 z z)) (*.f64 (/.f64 y x) (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (-.f64 1 z))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 z 3))) (*.f64 y (+.f64 1 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (-.f64 1 (pow.f64 z 3))) (*.f64 (neg.f64 y) (+.f64 1 (fma.f64 z z z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 z z))) (*.f64 y (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (-.f64 1 (*.f64 z z))) (*.f64 (neg.f64 y) (+.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) x) (*.f64 (+.f64 1 (fma.f64 z z z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) x) (*.f64 (+.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) 1) (*.f64 (+.f64 1 (fma.f64 z z z)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) 1) (*.f64 (+.f64 1 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) (neg.f64 x)) (*.f64 (+.f64 1 (fma.f64 z z z)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) (neg.f64 x)) (*.f64 (+.f64 1 z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 1 z)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 1 z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (-.f64 1 z)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (-.f64 1 z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) (/.f64 x y)) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) (/.f64 x y)) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) (-.f64 1 (*.f64 z z))) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 1 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 1 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (-.f64 1 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 (-.f64 1 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) (-.f64 1 z))))))))

simplify73.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
708×fma-def_binary64
259×fma-neg_binary64
92×cancel-sign-sub-inv_binary64
85×distribute-rgt-in_binary64
73×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014352
129352
262352
3120352
4271352
5510352
61139352
71658352
82232352
92297352
Stop Event
1×saturated
Counts
77 → 47
Calls
Call 1
Inputs
(/.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 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))
Outputs
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 1 z) x) y)
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(/.f64 x y)
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.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 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(*.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 x (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 x y) (neg.f64 z))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y))
(/.f64 (-.f64 1 z) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) x)
(*.f64 x (/.f64 (-.f64 1 z) y))
(*.f64 (-.f64 1 z) (/.f64 x y))

eval78.0ms (0.9%)

Compiler

Compiled 2321 to 1365 computations (41.2% saved)

prune69.0ms (0.8%)

Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New1783181
Fresh347
Picked011
Done066
Total18114195
Error
0b
Counts
195 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓46.4b
(fabs.f64 (/.f64 x y))
✓32.5b
(fabs.f64 (/.f64 -4 y))
▶17.1b
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
✓4.1b
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
19.2b
(fabs.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y) (/.f64 y x)))
▶45.6b
(fabs.f64 (/.f64 x (/.f64 y z)))
✓48.3b
(fabs.f64 (/.f64 (*.f64 z x) y))
▶45.9b
(fabs.f64 (/.f64 z (/.f64 y x)))
✓17.6b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
▶45.6b
(fabs.f64 (*.f64 z (/.f64 x y)))
✓30.6b
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
▶30.6b
(fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))
✓45.6b
(fabs.f64 (*.f64 (/.f64 z y) x))
42.5b
(fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 -4 x) y)) 2))
Compiler

Compiled 233 to 161 computations (30.9% saved)

localize24.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x)))
3.9b
(/.f64 z (/.f64 y x))
Compiler

Compiled 37 to 15 computations (59.5% saved)

series6.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite113.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
599×log-prod_binary64
372×pow-prod-down_binary64
335×fma-def_binary64
300×pow2_binary64
245×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
121613
2340513
Stop Event
1×node limit
Counts
1 → 137
Calls
Call 1
Inputs
(-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x)))
Outputs
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((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 4 y) 2)) (cbrt.f64 (/.f64 4 y)) (*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (neg.f64 (sqrt.f64 (*.f64 z (/.f64 x y)))) (/.f64 4 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 4 y))) (sqrt.f64 (fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 4 y))) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 4 y))) (sqrt.f64 (fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 4 y))) (fma.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 4 y))) (sqrt.f64 (fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 4 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 4 y))) (sqrt.f64 (fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 4 y))) (+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 4 y))) (sqrt.f64 (fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 4 y))) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (sqrt.f64 y)) (/.f64 2 (sqrt.f64 y)) (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (sqrt.f64 y)) (/.f64 2 (sqrt.f64 y)) (*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (/.f64 1 (neg.f64 y)) (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (/.f64 1 (neg.f64 y)) (*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 z) (/.f64 x y) (/.f64 4 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 4 (/.f64 y x)) (*.f64 y z)) (/.f64 1 (*.f64 y (/.f64 y x))) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 4 (/.f64 y x)) (*.f64 y z)) (/.f64 1 (*.f64 y (/.f64 y x))) (fma.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 4 (/.f64 y x)) (*.f64 y z)) (/.f64 1 (*.f64 y (/.f64 y x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 4 (/.f64 y x)) (*.f64 y z)) (/.f64 1 (*.f64 y (/.f64 y x))) (+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 4 (/.f64 y x)) (*.f64 y z)) (/.f64 1 (*.f64 y (/.f64 y x))) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 64 (pow.f64 y 3)) (pow.f64 (*.f64 z (/.f64 x y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) (/.f64 4 y)) (pow.f64 (/.f64 4 y) 2))) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 64 (pow.f64 y 3)) (pow.f64 (*.f64 z (/.f64 x y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) (/.f64 4 y)) (pow.f64 (/.f64 4 y) 2))) (fma.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 64 (pow.f64 y 3)) (pow.f64 (*.f64 z (/.f64 x y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) (/.f64 4 y)) (pow.f64 (/.f64 4 y) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 64 (pow.f64 y 3)) (pow.f64 (*.f64 z (/.f64 x y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) (/.f64 4 y)) (pow.f64 (/.f64 4 y) 2))) (+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 64 (pow.f64 y 3)) (pow.f64 (*.f64 z (/.f64 x y)) 3)) (/.f64 1 (fma.f64 (*.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) (/.f64 4 y)) (pow.f64 (/.f64 4 y) 2))) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) 4 (*.f64 (neg.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) 4 (*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 4 y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (/.f64 1 (fma.f64 z (/.f64 x y) (/.f64 4 y))) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 4 y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (/.f64 1 (fma.f64 z (/.f64 x y) (/.f64 4 y))) (fma.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 4 y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (/.f64 1 (fma.f64 z (/.f64 x y) (/.f64 4 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 4 y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (/.f64 1 (fma.f64 z (/.f64 x y) (/.f64 4 y))) (+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 4 y) 2) (pow.f64 (*.f64 z (/.f64 x y)) 2)) (/.f64 1 (fma.f64 z (/.f64 x y) (/.f64 4 y))) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z y) (neg.f64 x) (/.f64 4 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (neg.f64 z) (/.f64 x y))) 2) (cbrt.f64 (*.f64 (neg.f64 z) (/.f64 x y))) (/.f64 4 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (neg.f64 z) (/.f64 x y))) (sqrt.f64 (*.f64 (neg.f64 z) (/.f64 x y))) (/.f64 4 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (/.f64 x y)))) (sqrt.f64 (*.f64 z (/.f64 x y))) (/.f64 4 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 z (/.f64 x y)) (/.f64 4 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 2 (sqrt.f64 y)) (sqrt.f64 (*.f64 z (/.f64 x y)))) (-.f64 (/.f64 2 (sqrt.f64 y)) (sqrt.f64 (*.f64 z (/.f64 x y)))) (fma.f64 (neg.f64 (/.f64 x y)) z (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 2 (sqrt.f64 y)) (sqrt.f64 (*.f64 z (/.f64 x y)))) (-.f64 (/.f64 2 (sqrt.f64 y)) (sqrt.f64 (*.f64 z (/.f64 x y)))) (fma.f64 (*.f64 (neg.f64 z) (/.f64 x y)) 1 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 2 (sqrt.f64 y)) (sqrt.f64 (*.f64 z (/.f64 x y)))) (-.f64 (/.f64 2 (sqrt.f64 y)) (sqrt.f64 (*.f64 z (/.f64 x y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 2 (sqrt.f64 y)) (sqrt.f64 (*.f64 z (/.f64 x y)))) (-.f64 (/.f64 2 (sqrt.f64 y)) (sqrt.f64 (*.f64 z (/.f64 x y)))) (+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 2 (sqrt.f64 y)) (sqrt.f64 (*.f64 z (/.f64 x y)))) (-.f64 (/.f64 2 (sqrt.f64 y)) (sqrt.f64 (*.f64 z (/.f64 x y)))) (fma.f64 (neg.f64 x) (/.f64 z y) (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 2)) (cbrt.f64 (*.f64 z (/.f64 x y))) (/.f64 4 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 z y)) x (/.f64 4 y))))))

simplify51.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
447×fma-def_binary64
288×fma-neg_binary64
77×cancel-sign-sub-inv_binary64
72×associate-/l*_binary64
51×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019344
142344
273344
3126344
4205344
5317344
6477344
7692344
81163344
91531344
101699344
111771344
Stop Event
1×saturated
Counts
173 → 144
Calls
Call 1
Inputs
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (+.f64 4 (*.f64 -1 (*.f64 z x))) y)
(/.f64 (+.f64 4 (*.f64 -1 (*.f64 z x))) y)
(/.f64 (+.f64 4 (*.f64 -1 (*.f64 z x))) y)
(/.f64 (+.f64 4 (*.f64 -1 (*.f64 z x))) y)
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(*.f64 -1 (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
Outputs
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 (+.f64 4 (*.f64 -1 (*.f64 z x))) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 (+.f64 4 (*.f64 -1 (*.f64 z x))) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 (+.f64 4 (*.f64 -1 (*.f64 z x))) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 (+.f64 4 (*.f64 -1 (*.f64 z x))) y)
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 (*.f64 z x)) y)
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 (*.f64 z x)) y)
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 (*.f64 z x)) y)
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(/.f64 (neg.f64 (*.f64 z x)) y)
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 z (/.f64 (neg.f64 x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 z x) y)))
(/.f64 (-.f64 4 (*.f64 z x)) y)
(/.f64 (fma.f64 (neg.f64 z) x 4) y)
(/.f64 (fma.f64 z (neg.f64 x) 4) y)
(/.f64 (fma.f64 x (neg.f64 z) 4) y)

localize33.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓3.6b
(*.f64 z (/.f64 x y))
Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite45.0ms (0.5%)

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))))))))

simplify11.0ms (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))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓5.7b
(/.f64 x (/.f64 y z))
Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite50.0ms (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 x (/.f64 y z))
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 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (cbrt.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) (sqrt.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 x (cbrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y z))) (/.f64 x (sqrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y z))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(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 pow.f64 (/.f64 y (*.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 y) z)))))) (#(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 y z) 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))))))))

simplify17.0ms (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
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))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
3.9b
(/.f64 z (/.f64 y x))
Compiler

Compiled 20 to 6 computations (70% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 1 z) y)
✓3.1b
(*.f64 (/.f64 (-.f64 1 z) y) x)
Compiler

Compiled 30 to 18 computations (40% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

15 calls:

TimeVariablePointExpression
2.0ms
z
@inf
(*.f64 (/.f64 (-.f64 1 z) y) x)
0.0ms
y
@0
(/.f64 (-.f64 1 z) y)
0.0ms
y
@-inf
(/.f64 (-.f64 1 z) y)
0.0ms
z
@-inf
(*.f64 (/.f64 (-.f64 1 z) y) x)
0.0ms
z
@0
(/.f64 (-.f64 1 z) y)

rewrite67.0ms (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)))))))

simplify55.0ms (0.6%)

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)

eval223.0ms (2.6%)

Compiler

Compiled 5976 to 2569 computations (57% saved)

prune144.0ms (1.7%)

Pruning

16 alts after pruning (4 fresh and 12 done)

PrunedKeptTotal
New3692371
Fresh022
Picked011
Done01111
Total36916385
Error
0b
Counts
385 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
19.4b
(fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y))
✓30.6b
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
✓46.4b
(fabs.f64 (/.f64 x y))
✓32.5b
(fabs.f64 (/.f64 -4 y))
✓17.1b
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
✓4.1b
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
19.2b
(fabs.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y) (/.f64 y x)))
✓45.6b
(fabs.f64 (/.f64 x (/.f64 y z)))
46.4b
(fabs.f64 (*.f64 (/.f64 1 y) x))
✓48.3b
(fabs.f64 (/.f64 (*.f64 z x) y))
✓45.9b
(fabs.f64 (/.f64 z (/.f64 y x)))
✓17.6b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
✓45.6b
(fabs.f64 (*.f64 z (/.f64 x y)))
✓30.6b
(fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))
✓45.6b
(fabs.f64 (*.f64 (/.f64 z y) x))
42.5b
(fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 -4 x) y)) 2))
Compiler

Compiled 169 to 119 computations (29.6% saved)

regimes267.0ms (3.1%)

Counts
27 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (*.f64 (/.f64 1 y) x))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(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 (neg.f64 (/.f64 z y))))
(fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(fabs.f64 (-.f64 (/.f64 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 z (/.f64 y x))))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (/.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 x 4)) (*.f64 z y)) y) (/.f64 y x)))
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 x)) y))
(fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 -4 x) y)) 2))
(fabs.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 3))
(fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 2))
Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))
Calls

5 calls:

76.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
64.0ms
x
52.0ms
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
32.0ms
y
29.0ms
z
Results
ErrorSegmentsBranch
0.1b3x
1.5b1y
1.5b1z
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 270 to 150 computations (44.4% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.859732802539468e+58
2.8057883424789533e+64
0.0ms
-2.488840451530692e+36
-1.2175081265392206e+36
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes66.0ms (0.8%)

Counts
20 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (*.f64 (/.f64 1 y) x))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(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 (neg.f64 (/.f64 z y))))
(fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
(fabs.f64 (*.f64 (/.f64 (+.f64 z -1) y) x))
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 z (/.f64 y x))))
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
Outputs
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
(fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))
(fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))
Calls

3 calls:

29.0ms
x
20.0ms
z
11.0ms
y
Results
ErrorSegmentsBranch
0.1b3x
4.1b1y
1.8b2z
Compiler

Compiled 156 to 85 computations (45.5% saved)

bsearch41.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
2.6251931454887804e+44
1.5055827165778253e+49
22.0ms
-1672783139565205.5
-339959478.6700563
Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes203.0ms (2.3%)

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

3 calls:

82.0ms
y
68.0ms
z
47.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
12.8b5y
2.3b3z
Compiler

Compiled 146 to 79 computations (45.9% saved)

bsearch95.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
39.0ms
0.24455428838152748
11.35072333018268
55.0ms
-2.0668441798207357e-17
-1.5491025467799985e-23
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes161.0ms (1.8%)

Counts
15 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (*.f64 (/.f64 1 y) x))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(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 (neg.f64 (/.f64 z y))))
(fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
Outputs
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
(fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y))
(fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))
Calls

3 calls:

101.0ms
y
34.0ms
z
23.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
14.7b5y
4.8b3z
Compiler

Compiled 110 to 60 computations (45.5% saved)

bsearch43.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
0.24455428838152748
11.35072333018268
22.0ms
-2.0668441798207357e-17
-1.5491025467799985e-23
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes128.0ms (1.5%)

Counts
14 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (*.f64 (/.f64 1 y) x))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(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 (neg.f64 (/.f64 z y))))
(fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))
Outputs
(fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))
(fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y))
(fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))
Calls

3 calls:

57.0ms
x
36.0ms
y
32.0ms
z
Results
ErrorSegmentsBranch
0.9b3x
14.7b5y
4.8b3z
Compiler

Compiled 102 to 56 computations (45.1% saved)

bsearch80.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
59.0ms
0.24455428838152748
11.35072333018268
21.0ms
-118.61797569825441
-5.270680195155652e-8
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes129.0ms (1.5%)

Counts
13 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (*.f64 (/.f64 1 y) x))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(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 (neg.f64 (/.f64 z y))))
(fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
Outputs
(fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y))
Calls

3 calls:

69.0ms
y
35.0ms
x
21.0ms
z
Results
ErrorSegmentsBranch
8.9b4x
16.2b3y
4.8b3z
Compiler

Compiled 94 to 51 computations (45.7% saved)

bsearch55.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
34.0ms
2.942353474769721e-16
0.0657211334776637
20.0ms
-123.4510382104606
-0.0007948489339712215
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes174.0ms (2%)

Counts
11 → 5
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (*.f64 (/.f64 1 y) x))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(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 (neg.f64 (/.f64 z y))))
Outputs
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (/.f64 x (/.f64 y z)))
Calls

3 calls:

93.0ms
z
72.0ms
x
7.0ms
y
Results
ErrorSegmentsBranch
15.4b4x
17.6b1y
7.5b5z
Compiler

Compiled 78 to 42 computations (46.2% saved)

bsearch281.0ms (3.2%)

Algorithm
4×binary-search
Steps
TimeLeftRight
196.0ms
4.815424383594454e+120
2.483567160576897e+128
23.0ms
1.2255799947872541e+60
2.1452215711374514e+72
21.0ms
1524684647.79135
8516683840.361715
40.0ms
-3.8826919722397684e+94
-2.53734024256326e+91
Compiler

Compiled 183 to 141 computations (23% saved)

regimes174.0ms (2%)

Counts
9 → 6
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (*.f64 (/.f64 1 y) x))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 x (/.f64 y z)))
(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 x y))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 z (/.f64 y x)))
Calls

3 calls:

91.0ms
z
43.0ms
y
38.0ms
x
Results
ErrorSegmentsBranch
14.6b6x
31.1b3y
18.9b9z
Compiler

Compiled 65 to 35 computations (46.2% saved)

bsearch139.0ms (1.6%)

Algorithm
5×binary-search
Steps
TimeLeftRight
45.0ms
9.020501213610599e+149
1.5785392548997857e+150
21.0ms
3342237.3718296103
1917109474.6730752
25.0ms
3.7106833638380127e-19
1.6029339159383525e-15
21.0ms
-1.5491025467799985e-23
-1.1178625234586241e-23
26.0ms
-286099913215834850.0
-1672783139565205.5
Compiler

Compiled 93 to 67 computations (28% saved)

regimes86.0ms (1%)

Counts
6 → 6
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (*.f64 (/.f64 1 y) x))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 x (/.f64 y z)))
Outputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 z (/.f64 y x)))
Calls

3 calls:

39.0ms
z
31.0ms
x
14.0ms
y
Results
ErrorSegmentsBranch
14.6b6x
31.1b3y
18.9b9z
Compiler

Compiled 47 to 29 computations (38.3% saved)

bsearch118.0ms (1.4%)

Algorithm
5×binary-search
Steps
TimeLeftRight
33.0ms
9.020501213610599e+149
1.5785392548997857e+150
21.0ms
3342237.3718296103
1917109474.6730752
21.0ms
3.7106833638380127e-19
1.6029339159383525e-15
21.0ms
-1.5491025467799985e-23
-1.1178625234586241e-23
22.0ms
-286099913215834850.0
-1672783139565205.5
Compiler

Compiled 93 to 67 computations (28% saved)

regimes103.0ms (1.2%)

Counts
5 → 6
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (*.f64 (/.f64 1 y) x))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (*.f64 z (/.f64 x y)))
Outputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (*.f64 z (/.f64 x y)))
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 z (/.f64 y x)))
Calls

3 calls:

38.0ms
z
35.0ms
y
29.0ms
x
Results
ErrorSegmentsBranch
14.8b6x
31.1b3y
19.0b9z
Compiler

Compiled 41 to 26 computations (36.6% saved)

bsearch122.0ms (1.4%)

Algorithm
5×binary-search
Steps
TimeLeftRight
37.0ms
9.020501213610599e+149
1.5785392548997857e+150
21.0ms
3342237.3718296103
1917109474.6730752
21.0ms
3.7106833638380127e-19
1.6029339159383525e-15
22.0ms
-1.5491025467799985e-23
-1.1178625234586241e-23
21.0ms
-286099913215834850.0
-1672783139565205.5
Compiler

Compiled 93 to 67 computations (28% saved)

regimes75.0ms (0.9%)

Counts
4 → 6
Calls
Call 1
Inputs
(fabs.f64 (/.f64 x y))
(fabs.f64 (/.f64 -4 y))
(fabs.f64 (*.f64 (/.f64 1 y) x))
(fabs.f64 (/.f64 z (/.f64 y x)))
Outputs
(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)))
Calls

3 calls:

33.0ms
z
30.0ms
x
11.0ms
y
Results
ErrorSegmentsBranch
14.8b6x
31.1b3y
19.3b9z
Compiler

Compiled 35 to 24 computations (31.4% saved)

bsearch119.0ms (1.4%)

Algorithm
5×binary-search
Steps
TimeLeftRight
32.0ms
9.020501213610599e+149
1.5785392548997857e+150
20.0ms
3342237.3718296103
1917109474.6730752
25.0ms
3.7106833638380127e-19
1.6029339159383525e-15
20.0ms
-2.0668441798207357e-17
-1.5491025467799985e-23
20.0ms
-286099913215834850.0
-1672783139565205.5
Compiler

Compiled 93 to 67 computations (28% saved)

regimes38.0ms (0.4%)

Accuracy

Total -42.2b remaining (-230.4%)

Threshold costs -42.2b (-230.4%)

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

3 calls:

17.0ms
z
10.0ms
x
10.0ms
y
Results
ErrorSegmentsBranch
18.3b3x
31.1b3y
29.1b5z
Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch42.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
0.24455428838152748
11.35072333018268
20.0ms
-118.61797569825441
-5.270680195155652e-8
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify35.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
21×+-commutative_binary64
21×sub-neg_binary64
13×*-commutative_binary64
13×fabs-div_binary64
12×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116735
1171735
2219735
3243735
4258735
5272735
6277735
7279735
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) -2000000000000000084841274748035923968) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) 49999999999999998584394024780232100424968164183088578953216) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))))
(if (<=.f64 x -3345566279130411/2) (fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z)))) (if (<=.f64 x 9999999999999999931398190359470212947659194368) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))))
(if (<=.f64 x -838411604840953/40564819207303340847894502572032) (fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z)))) (if (<=.f64 x 137671825253363/562949953421312) (fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y)) (fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))))
(if (<=.f64 x -838411604840953/40564819207303340847894502572032) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 137671825253363/562949953421312) (fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y)) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))
(if (<=.f64 x -4173498993391415/35184372088832) (fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x)) (if (<=.f64 x 137671825253363/562949953421312) (fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y)) (fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))))
(if (<=.f64 z -8687094526298925/70368744177664) (fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y)) (if (<=.f64 z 5967801837400725/20282409603651670423947251286016) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y))))
(if (<=.f64 z -38826919722397683808512951596772824258677397601198795864748282000428456334050432736862352179200) (fabs.f64 (*.f64 z (/.f64 x y))) (if (<=.f64 z 3197495458484925/2097152) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (if (<=.f64 z 1225579994787254113418113578736351798257370269784254456004608) (fabs.f64 (/.f64 x (/.f64 y z))) (if (<=.f64 z 240000000000000018041876859964370070593142975444577971235898184565863822058179649119489864263461928502783829209324606318402600960) (fabs.f64 (/.f64 -4 y)) (fabs.f64 (/.f64 x (/.f64 y z)))))))
(if (<=.f64 x -286099913215834848) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -5271322812215517/340282366920938463463374607431768211456) (fabs.f64 (*.f64 (/.f64 z y) x)) (if (<=.f64 x 481674239326839/1298074214633706907132624082305024) (fabs.f64 (/.f64 -4 y)) (if (<=.f64 x 897175012967323/268435456) (fabs.f64 (*.f64 z (/.f64 x y))) (if (<=.f64 x 1550000000000000070235498657923878065920359606347617602916992550245088462620604190951164431947357242893457666555063073037725620974972491980769452883968) (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 z (/.f64 y x))))))))
(if (<=.f64 x -286099913215834848) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -5271322812215517/340282366920938463463374607431768211456) (fabs.f64 (/.f64 x (/.f64 y z))) (if (<=.f64 x 481674239326839/1298074214633706907132624082305024) (fabs.f64 (/.f64 -4 y)) (if (<=.f64 x 897175012967323/268435456) (fabs.f64 (*.f64 z (/.f64 x y))) (if (<=.f64 x 1550000000000000070235498657923878065920359606347617602916992550245088462620604190951164431947357242893457666555063073037725620974972491980769452883968) (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 z (/.f64 y x))))))))
(if (<=.f64 x -286099913215834848) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -5271322812215517/340282366920938463463374607431768211456) (fabs.f64 (*.f64 z (/.f64 x y))) (if (<=.f64 x 481674239326839/1298074214633706907132624082305024) (fabs.f64 (/.f64 -4 y)) (if (<=.f64 x 897175012967323/268435456) (fabs.f64 (*.f64 z (/.f64 x y))) (if (<=.f64 x 1550000000000000070235498657923878065920359606347617602916992550245088462620604190951164431947357242893457666555063073037725620974972491980769452883968) (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 z (/.f64 y x))))))))
(if (<=.f64 x -286099913215834848) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -838411604840953/40564819207303340847894502572032) (fabs.f64 (/.f64 z (/.f64 y x))) (if (<=.f64 x 481674239326839/1298074214633706907132624082305024) (fabs.f64 (/.f64 -4 y)) (if (<=.f64 x 897175012967323/268435456) (fabs.f64 (/.f64 z (/.f64 y x))) (if (<=.f64 x 1550000000000000070235498657923878065920359606347617602916992550245088462620604190951164431947357242893457666555063073037725620974972491980769452883968) (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 z (/.f64 y x))))))))
(if (<=.f64 x -4173498993391415/35184372088832) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 137671825253363/562949953421312) (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)) -2000000000000000084841274748035923968) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x)))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) 49999999999999998584394024780232100424968164183088578953216) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 z (/.f64 y x))))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) -2000000000000000084841274748035923968) (fabs.f64 (-.f64 (/.f64 z (/.f64 y x)) (/.f64 (+.f64 x 4) y))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) 49999999999999998584394024780232100424968164183088578953216) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (fabs.f64 (-.f64 (/.f64 z (/.f64 y x)) (/.f64 (+.f64 x 4) y)))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) -2000000000000000084841274748035923968) (fabs.f64 (+.f64 (/.f64 z (/.f64 y x)) (/.f64 (-.f64 -4 x) y))) (if (<=.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) 49999999999999998584394024780232100424968164183088578953216) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (fabs.f64 (+.f64 (/.f64 z (/.f64 y x)) (/.f64 (-.f64 -4 x) y)))))
(if (<=.f64 x -3345566279130411/2) (fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z)))) (if (<=.f64 x 9999999999999999931398190359470212947659194368) (fabs.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))))
(if (<=.f64 x -838411604840953/40564819207303340847894502572032) (fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z)))) (if (<=.f64 x 137671825253363/562949953421312) (fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y)) (fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))))
(if (<=.f64 x -838411604840953/40564819207303340847894502572032) (fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z)))) (if (<=.f64 x 137671825253363/562949953421312) (fabs.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)) (fabs.f64 (/.f64 x (/.f64 y (-.f64 1 z))))))
(if (<=.f64 x -838411604840953/40564819207303340847894502572032) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 137671825253363/562949953421312) (fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y)) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))
(if (<=.f64 x -838411604840953/40564819207303340847894502572032) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z))) (if (<=.f64 x 137671825253363/562949953421312) (fabs.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)) (fabs.f64 (*.f64 (/.f64 x y) (-.f64 1 z)))))
(if (<=.f64 x -4173498993391415/35184372088832) (fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x)) (if (<=.f64 x 137671825253363/562949953421312) (fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y)) (fabs.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))))
(if (<=.f64 x -4173498993391415/35184372088832) (fabs.f64 (*.f64 x (/.f64 (-.f64 1 z) y))) (if (<=.f64 x 137671825253363/562949953421312) (fabs.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)) (fabs.f64 (*.f64 x (/.f64 (-.f64 1 z) y)))))
(if (<=.f64 z -8687094526298925/70368744177664) (fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y)) (if (<=.f64 z 5967801837400725/20282409603651670423947251286016) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (/.f64 (-.f64 4 (*.f64 z x)) y))))
(if (<=.f64 z -8687094526298925/70368744177664) (fabs.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)) (if (<=.f64 z 5967801837400725/20282409603651670423947251286016) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (/.f64 (-.f64 4 (*.f64 x z)) y))))
(if (<=.f64 z -8687094526298925/70368744177664) (fabs.f64 (/.f64 (-.f64 4 (*.f64 x z)) y)) (if (<=.f64 z 5967801837400725/20282409603651670423947251286016) (fabs.f64 (/.f64 (+.f64 x 4) y)) (fabs.f64 (/.f64 (-.f64 4 (*.f64 x z)) y))))
(if (<=.f64 z -38826919722397683808512951596772824258677397601198795864748282000428456334050432736862352179200) (fabs.f64 (*.f64 z (/.f64 x y))) (if (<=.f64 z 3197495458484925/2097152) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (if (<=.f64 z 1225579994787254113418113578736351798257370269784254456004608) (fabs.f64 (/.f64 x (/.f64 y z))) (if (<=.f64 z 240000000000000018041876859964370070593142975444577971235898184565863822058179649119489864263461928502783829209324606318402600960) (fabs.f64 (/.f64 -4 y)) (fabs.f64 (/.f64 x (/.f64 y z)))))))
(if (<=.f64 z -38826919722397683808512951596772824258677397601198795864748282000428456334050432736862352179200) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 z 3197495458484925/2097152) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (if (<=.f64 z 1225579994787254113418113578736351798257370269784254456004608) (fabs.f64 (/.f64 x (/.f64 y z))) (if (<=.f64 z 240000000000000018041876859964370070593142975444577971235898184565863822058179649119489864263461928502783829209324606318402600960) (/.f64 4 (fabs.f64 y)) (fabs.f64 (/.f64 x (/.f64 y z)))))))
(if (<=.f64 z -38826919722397683808512951596772824258677397601198795864748282000428456334050432736862352179200) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 z 3197495458484925/2097152) (fabs.f64 (/.f64 (+.f64 x 4) y)) (if (<=.f64 z 1225579994787254113418113578736351798257370269784254456004608) (fabs.f64 (/.f64 x (/.f64 y z))) (if (<=.f64 z 240000000000000018041876859964370070593142975444577971235898184565863822058179649119489864263461928502783829209324606318402600960) (/.f64 4 (fabs.f64 y)) (fabs.f64 (/.f64 x (/.f64 y z)))))))
(if (<=.f64 x -286099913215834848) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -5271322812215517/340282366920938463463374607431768211456) (fabs.f64 (*.f64 (/.f64 z y) x)) (if (<=.f64 x 481674239326839/1298074214633706907132624082305024) (fabs.f64 (/.f64 -4 y)) (if (<=.f64 x 897175012967323/268435456) (fabs.f64 (*.f64 z (/.f64 x y))) (if (<=.f64 x 1550000000000000070235498657923878065920359606347617602916992550245088462620604190951164431947357242893457666555063073037725620974972491980769452883968) (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 z (/.f64 y x))))))))
(if (<=.f64 x -286099913215834848) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -5271322812215517/340282366920938463463374607431768211456) (fabs.f64 (*.f64 x (/.f64 z y))) (if (<=.f64 x 481674239326839/1298074214633706907132624082305024) (/.f64 4 (fabs.f64 y)) (if (<=.f64 x 897175012967323/268435456) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x 1550000000000000070235498657923878065920359606347617602916992550245088462620604190951164431947357242893457666555063073037725620974972491980769452883968) (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 z (/.f64 y x))))))))
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(if (<=.f64 x -4173498993391415/35184372088832) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 137671825253363/562949953421312) (fabs.f64 (/.f64 -4 y)) (fabs.f64 (/.f64 x y))))
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(fabs.f64 (/.f64 x y))
Compiler

Compiled 529 to 318 computations (39.9% saved)

soundness0.0ms (0%)

end220.0ms (2.5%)

Compiler

Compiled 493 to 238 computations (51.7% saved)

Profiling

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