Details

Time bar (total: 6.5s)

analyze230.0ms (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)

sample1.3s (20.6%)

Results
1.1s8256×body256valid
212.0ms1725×body256infinite
Bogosity

preprocess71.0ms (1.1%)

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)

simplify83.0ms (1.3%)

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 → 5
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 57 to 33 computations (42.1% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New235
Fresh011
Picked000
Done000
Total246
Error
0.0b
Counts
6 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
▶2.6b
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 x)) y))
▶1.7b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
▶2.7b
(fabs.f64 (*.f64 (/.f64 -1 y) (fma.f64 x z (-.f64 -4 x))))
Compiler

Compiled 41 to 28 computations (31.7% saved)

localize16.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.5b
(*.f64 (/.f64 -1 y) (fma.f64 x z (-.f64 -4 x)))
Compiler

Compiled 41 to 25 computations (39% saved)

series14.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
7.0ms
x
@0
(*.f64 (/.f64 -1 y) (fma.f64 x z (-.f64 -4 x)))
1.0ms
x
@-inf
(*.f64 (/.f64 -1 y) (fma.f64 x z (-.f64 -4 x)))
1.0ms
y
@0
(*.f64 (/.f64 -1 y) (fma.f64 x z (-.f64 -4 x)))
1.0ms
x
@inf
(*.f64 (/.f64 -1 y) (fma.f64 x z (-.f64 -4 x)))
1.0ms
z
@-inf
(*.f64 (/.f64 -1 y) (fma.f64 x z (-.f64 -4 x)))

rewrite56.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
485×log-prod_binary64
381×exp-prod_binary64
345×prod-exp_binary64
291×pow-prod-down_binary64
281×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01014
121413
2268813
Stop Event
1×node limit
Counts
1 → 45
Calls
Call 1
Inputs
(*.f64 (/.f64 -1 y) (fma.f64 x z (-.f64 -4 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x z) (/.f64 -1 y)) (*.f64 (-.f64 -4 x) (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 y) (*.f64 x z)) (*.f64 (/.f64 -1 y) (-.f64 -4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 y (-.f64 (fma.f64 x z -4) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (neg.f64 (-.f64 (fma.f64 x z -4) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (fma.f64 x z -4) x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (-.f64 (fma.f64 x z -4) x))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 x z -4) x)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 x z -4) x)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 x z -4) x)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (neg.f64 (-.f64 (fma.f64 x z -4) x))) -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) (neg.f64 y)))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))) (sqrt.f64 (log.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) (neg.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 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 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (neg.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 -1 y)) 1) (log.f64 (-.f64 (fma.f64 x z -4) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) 1) (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1) (log.f64 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) (*.f64 (log.f64 (/.f64 -1 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 (/.f64 -1 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 y) (*.f64 x z) (*.f64 (/.f64 -1 y) (-.f64 -4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x z) (/.f64 -1 y) (*.f64 (-.f64 -4 x) (/.f64 -1 y)))))))

simplify56.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
513×log-prod_binary64
330×associate-*l*_binary64
294×associate-*r*_binary64
235×fma-def_binary64
210×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01561270
13771109
21035951
35452951
Stop Event
1×node limit
Counts
81 → 80
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x)))
(*.f64 -1 (/.f64 (*.f64 (-.f64 z 1) x) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 z 1) x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 z 1) x) y)))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 z 1) 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 0 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))
(+.f64 (*.f64 (*.f64 x z) (/.f64 -1 y)) (*.f64 (-.f64 -4 x) (/.f64 -1 y)))
(+.f64 (*.f64 (/.f64 -1 y) (*.f64 x z)) (*.f64 (/.f64 -1 y) (-.f64 -4 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))) 1)
(/.f64 -1 (/.f64 y (-.f64 (fma.f64 x z -4) x)))
(/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))
(/.f64 1 (/.f64 y (neg.f64 (-.f64 (fma.f64 x z -4) x))))
(/.f64 (neg.f64 (-.f64 (fma.f64 x z -4) x)) y)
(/.f64 (neg.f64 (neg.f64 (-.f64 (fma.f64 x z -4) x))) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 x z -4) x)) 1) y)
(/.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 x z -4) x)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(/.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 x z -4) x)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))) 2)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))
(pow.f64 (/.f64 y (neg.f64 (-.f64 (fma.f64 x z -4) x))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))) (sqrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))
(exp.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))) 1) 1))
(exp.f64 (-.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1) (log.f64 (neg.f64 y))))
(exp.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (fma.f64 x z -4) x))) (*.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) 1) (log.f64 (-.f64 (fma.f64 x z -4) x))))
(exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) 1) (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1) (log.f64 (/.f64 -1 y))))
(exp.f64 (+.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) (*.f64 (log.f64 (/.f64 -1 y)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1) (*.f64 (log.f64 (/.f64 -1 y)) 1)))
(fma.f64 (/.f64 -1 y) (*.f64 x z) (*.f64 (/.f64 -1 y) (-.f64 -4 x)))
(fma.f64 (*.f64 x z) (/.f64 -1 y) (*.f64 (-.f64 -4 x) (/.f64 -1 y)))
Outputs
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 4 y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (*.f64 (-.f64 z 1) x) y))
(neg.f64 (/.f64 (+.f64 z -1) (/.f64 y x)))
(neg.f64 (*.f64 (/.f64 (+.f64 -1 z) y) x))
(*.f64 x (/.f64 (-.f64 1 z) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 z 1) x) y)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 z 1) x) y)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 z 1) x) y)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)
(neg.f64 (/.f64 (+.f64 z -1) (/.f64 y x)))
(neg.f64 (*.f64 (/.f64 (+.f64 -1 z) y) x))
(*.f64 x (/.f64 (-.f64 1 z) y))
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (+.f64 4 x) y)
(/.f64 (+.f64 x 4) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 4 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(*.f64 z (/.f64 (neg.f64 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 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) 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))))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) 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))))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(*.f64 -1 (/.f64 (*.f64 z x) y))
(neg.f64 (/.f64 z (/.f64 y x)))
(*.f64 z (/.f64 (neg.f64 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 (/.f64 x y) (*.f64 4 (/.f64 1 y))))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) 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))))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) 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))))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 0 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 (*.f64 x z) (/.f64 -1 y)) (*.f64 (-.f64 -4 x) (/.f64 -1 y)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (*.f64 (/.f64 -1 y) (*.f64 x z)) (*.f64 (/.f64 -1 y) (-.f64 -4 x)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) (neg.f64 y))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) y)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) (neg.f64 y))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))) 1)
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 -1 (/.f64 y (-.f64 (fma.f64 x z -4) x)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 1 (/.f64 y (neg.f64 (-.f64 (fma.f64 x z -4) x))))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (neg.f64 (-.f64 (fma.f64 x z -4) x)) y)
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (neg.f64 (neg.f64 (-.f64 (fma.f64 x z -4) x))) (neg.f64 y))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 x z -4) x)) 1) y)
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(/.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 x z -4) x)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))
(/.f64 (neg.f64 (-.f64 (fma.f64 x z -4) x)) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y)))
(/.f64 (-.f64 x (fma.f64 z x -4)) (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y)))
(/.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 x z -4) x)) (sqrt.f64 y)) (sqrt.f64 y))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)) 1)
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)) 2) 1/2)
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))) 3)
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))) 2)
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(pow.f64 (/.f64 y (neg.f64 (-.f64 (fma.f64 x z -4) x))) -1)
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) (neg.f64 y)))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) (neg.f64 y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))) (sqrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) (neg.f64 y))))) (sqrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) (neg.f64 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) y)))) (sqrt.f64 (log.f64 (/.f64 (-.f64 x (fma.f64 z x -4)) y))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)) 2))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(log.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)) 3))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(exp.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))) 1))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)) 3)) 1/3))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))) 3))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))) 2))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y))) 1) 1))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(exp.f64 (-.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1) (log.f64 (neg.f64 y))))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(exp.f64 (-.f64 (log.f64 (neg.f64 (-.f64 (fma.f64 x z -4) x))) (*.f64 (log.f64 y) 1)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) 1) (log.f64 (-.f64 (fma.f64 x z -4) x))))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(exp.f64 (+.f64 (log.f64 (/.f64 -1 y)) (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) 1) (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1) (log.f64 (/.f64 -1 y))))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(exp.f64 (+.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) (*.f64 (log.f64 (/.f64 -1 y)) 1)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1) (*.f64 (log.f64 (/.f64 -1 y)) 1)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(fma.f64 (/.f64 -1 y) (*.f64 x z) (*.f64 (/.f64 -1 y) (-.f64 -4 x)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)
(fma.f64 (*.f64 x z) (/.f64 -1 y) (*.f64 (-.f64 -4 x) (/.f64 -1 y)))
(neg.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 x 4)) y))
(/.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) y)
(/.f64 (-.f64 x (fma.f64 z x -4)) y)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x 4) y)
✓2.7b
(*.f64 (/.f64 x y) z)
Compiler

Compiled 46 to 20 computations (56.5% saved)

series18.0ms (0.3%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
10.0ms
x
@0
(/.f64 (+.f64 x 4) y)
2.0ms
y
@inf
(*.f64 (/.f64 x y) z)
1.0ms
x
@0
(*.f64 (/.f64 x y) z)
1.0ms
z
@0
(*.f64 (/.f64 x y) z)
1.0ms
y
@0
(*.f64 (/.f64 x y) z)

rewrite55.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
520×log-prod_binary64
397×exp-prod_binary64
323×pow-prod-down_binary64
271×pow2_binary64
191×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
120214
2279714
Stop Event
1×node limit
Counts
2 → 82
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) z)
(/.f64 (+.f64 x 4) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3) 1/3)))) (#(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 (exp.f64 1) (log.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 x y) z))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 x y) z)))) (sqrt.f64 (log.f64 (*.f64 (/.f64 x y) z))))))) (#(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 exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 x y) z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x y) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 x y) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) z)) 1) 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 (pow.f64 (cbrt.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)) (cbrt.f64 (pow.f64 (/.f64 y (+.f64 x 4)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y (+.f64 x 4)) -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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 y (+.f64 x 4)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 x 4)) -3) 1/3)))) (#(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 (/.f64 y (+.f64 x 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (+.f64 x 4)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 x 4) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 x 4) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 x 4) y)))) (sqrt.f64 (log.f64 (/.f64 (+.f64 x 4) y))))))) (#(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 y (+.f64 x 4)) -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 y (+.f64 x 4)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 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 exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 x 4)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 x 4))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 4) y)) 1) 1))))))

simplify70.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
574×log-prod_binary64
436×log-div_binary64
369×times-frac_binary64
336×associate-/l*_binary64
313×associate-*l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02141369
14781339
213841162
363301156
Stop Event
1×node limit
Counts
142 → 103
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 0 (*.f64 (/.f64 x y) z))
(+.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)))))
(+.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)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) z))) 1)
(/.f64 x (/.f64 y z))
(/.f64 z (/.f64 y x))
(/.f64 1 (/.f64 y (*.f64 x z)))
(/.f64 (*.f64 x z) y)
(/.f64 (neg.f64 (*.f64 x z)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x z) 1) y)
(/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (neg.f64 x) z) (neg.f64 y))
(/.f64 (*.f64 z (neg.f64 x)) (neg.f64 y))
(pow.f64 (*.f64 (/.f64 x y) z) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) z)) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 x y) z)))
(pow.f64 (/.f64 y (*.f64 x z)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 x y) z))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 x y) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 x y) z)))) (sqrt.f64 (log.f64 (*.f64 (/.f64 x y) z))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) z))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) z)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) z)))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) z)) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 x y) z))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x y) z))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 x y) z))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) z)) 1) 1))
(+.f64 0 (/.f64 (+.f64 x 4) y))
(+.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)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 4) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 4) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 4) y))) 1)
(*.f64 (+.f64 x 4) (/.f64 1 y))
(*.f64 (/.f64 (+.f64 x 4) y) 1)
(*.f64 1 (/.f64 (+.f64 x 4) y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (*.f64 (cbrt.f64 (+.f64 x 4)) (/.f64 1 y)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) (cbrt.f64 (pow.f64 (/.f64 y (+.f64 x 4)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (+.f64 x 4)) -2)) (cbrt.f64 (/.f64 (+.f64 x 4) y)))
(*.f64 (sqrt.f64 (+.f64 x 4)) (*.f64 (sqrt.f64 (+.f64 x 4)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 (+.f64 x 4) y)))
(*.f64 (fma.f64 -1 x -4) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (+.f64 x 4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 4)) y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) 1) (/.f64 (sqrt.f64 (+.f64 x 4)) y))
(*.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (+.f64 x 4) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 x 4) y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 y)))
(*.f64 (pow.f64 y -1/2) (/.f64 (+.f64 x 4) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x 4)) (sqrt.f64 y)))
(pow.f64 (/.f64 (+.f64 x 4) y) 1)
(pow.f64 (pow.f64 (/.f64 y (+.f64 x 4)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 y (+.f64 x 4)) -3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) 2)
(pow.f64 (/.f64 y (+.f64 x 4)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (+.f64 x 4) y)))
(pow.f64 (/.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 y 3)) 1/3)
(pow.f64 (/.f64 (/.f64 y (+.f64 x 4)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 x 4) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 x 4) y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 x 4) y)))) (sqrt.f64 (log.f64 (/.f64 (+.f64 x 4) y))))
(neg.f64 (/.f64 (+.f64 x 4) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 y (+.f64 x 4)) -2))
(log.f64 (exp.f64 (/.f64 (+.f64 x 4) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 4) y))))
(cbrt.f64 (pow.f64 (/.f64 y (+.f64 x 4)) -3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 4) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 4) y)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 4) y)))
(exp.f64 (log.f64 (/.f64 (+.f64 x 4) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 4) y)) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 x 4)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 x 4))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 4) y)) 1) 1))
Outputs
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
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(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 4) y)) 1))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 x 4)) -3)) 1/3))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y))) 3))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y))) 2))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 x 4))) -1))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 4) y)) 1) 1))
(+.f64 (/.f64 4 y) (/.f64 x y))
(/.f64 (+.f64 x 4) y)

localize15.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.4b
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)
Compiler

Compiled 33 to 18 computations (45.5% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite59.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
117711
2235211
Stop Event
1×node limit
Counts
1 → 77
Calls
Call 1
Inputs
(/.f64 (fma.f64 x z (-.f64 -4 x)) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (fma.f64 x z -4) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x z -4) x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (fma.f64 x z -4) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 2) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2) (*.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) (*.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 (fma.f64 x z -4) x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 (fma.f64 x z -4) x)) (pow.f64 (/.f64 1 (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 (fma.f64 x z -4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (pow.f64 (/.f64 1 (-.f64 (fma.f64 x z -4) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) 1) (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (-.f64 (fma.f64 x z -4) x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (-.f64 (fma.f64 x z -4) x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 (-.f64 (fma.f64 x z -4) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 y) -2) 1) (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (cbrt.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) (pow.f64 (cbrt.f64 y) 2)) 1) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (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 -4) x) y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 2) 3) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 (fma.f64 x z -4) x))) 2) -1) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 y) (-.f64 (fma.f64 x z -4) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))

simplify60.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
414×associate-/l*_binary64
391×associate-*l/_binary64
378×distribute-rgt-in_binary64
370×distribute-lft-in_binary64
351×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02602376
16562113
220821614
Stop Event
1×node limit
Counts
113 → 140
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)
(+.f64 0 (/.f64 (-.f64 (fma.f64 x z -4) x) y))
(+.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)))))
(+.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)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 1)
(*.f64 (-.f64 (fma.f64 x z -4) x) (/.f64 1 y))
(*.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 1)
(*.f64 1 (/.f64 (-.f64 (fma.f64 x z -4) x) y))
(*.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))
(*.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)))
(*.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)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) (*.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) (/.f64 1 y)))
(*.f64 (neg.f64 (-.f64 (fma.f64 x z -4) x)) (/.f64 1 (neg.f64 y)))
(*.f64 (neg.f64 (-.f64 (fma.f64 x z -4) x)) (pow.f64 (/.f64 1 (neg.f64 y)) 1))
(*.f64 (/.f64 1 y) (-.f64 (fma.f64 x z -4) x))
(*.f64 (/.f64 1 y) (pow.f64 (/.f64 1 (-.f64 (fma.f64 x z -4) x)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) 1) (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) y))
(*.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (-.f64 (fma.f64 x z -4) x) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) (cbrt.f64 y)))
(*.f64 (pow.f64 y -1/2) (/.f64 (-.f64 (fma.f64 x z -4) x) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) (sqrt.f64 y)))
(*.f64 (pow.f64 1 1/3) (/.f64 (-.f64 (fma.f64 x z -4) x) y))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) y) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 x z -4) x)) y) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) -2) 1) (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (cbrt.f64 y)) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2) (pow.f64 (cbrt.f64 y) 2)) 1) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))
(*.f64 (pow.f64 (/.f64 (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))
(*.f64 (pow.f64 (pow.f64 y -1/2) 1) (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (sqrt.f64 y)) 1))
(*.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))
(*.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))
(*.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)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 2) 3) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 (fma.f64 x z -4) x))) 2) -1) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 y) (-.f64 (fma.f64 x z -4) x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) 1) -1) (pow.f64 (/.f64 (sqrt.f64 y) (-.f64 (fma.f64 x z -4) x)) -1))
(*.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))
(*.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))
(*.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))
(*.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))
(*.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))
(*.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))
(pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 2)
(pow.f64 (/.f64 y (-.f64 (fma.f64 x z -4) x)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))
(pow.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 x z -4) x) 3) (pow.f64 y 3)) 1/3)
(pow.f64 (/.f64 (/.f64 y (-.f64 (fma.f64 x z -4) x)) 1) -1)
(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))))
(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))))
(neg.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 x z -4) x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))
(exp.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 (fma.f64 x z -4) x))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 1) 1))
(exp.f64 (-.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1) (log.f64 y)))
(exp.f64 (-.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) (*.f64 (log.f64 y) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1) (*.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1) (neg.f64 (log.f64 y))))
(exp.f64 (+.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1)))
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 (-.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 (-.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 (-.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 (-.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 (-.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 (-.f64 (fma.f64 z x -4) x) y)
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(neg.f64 (/.f64 (fma.f64 -1 z 1) (/.f64 y x)))
(/.f64 (neg.f64 (-.f64 1 z)) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) (neg.f64 x))
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 (fma.f64 -1 z 1) (/.f64 y x))) (/.f64 4 y))
(fma.f64 -1 (*.f64 (/.f64 (-.f64 1 z) y) x) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 (fma.f64 -1 z 1) (/.f64 y x))) (/.f64 4 y))
(fma.f64 -1 (*.f64 (/.f64 (-.f64 1 z) y) x) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 (fma.f64 -1 z 1) (/.f64 y x))) (/.f64 4 y))
(fma.f64 -1 (*.f64 (/.f64 (-.f64 1 z) y) x) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(neg.f64 (/.f64 (+.f64 x 4) y))
(/.f64 (+.f64 -4 (neg.f64 x)) 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 (-.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 (-.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 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(+.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 (-.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 (-.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 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (*.f64 z x) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 z y) x)
(+.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 (-.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 (-.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 (-.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 (-.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 (-.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 (-.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 (-.f64 (fma.f64 z x -4) x) y)
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
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(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 3))
(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 (-.f64 (fma.f64 z x -4) x) y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 (fma.f64 x z -4) x))) 2) -1) (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 (fma.f64 x z -4) x))) 2)))
(/.f64 (*.f64 1 (cbrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y))) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 (fma.f64 z x -4) x))) 2))
(/.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 (fma.f64 z x -4) x))) 2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 y) (-.f64 (fma.f64 x z -4) x)) -1))
(*.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (-.f64 (fma.f64 x z -4) x) (cbrt.f64 y)))
(/.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (cbrt.f64 y) (-.f64 (fma.f64 z x -4) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) -2) (cbrt.f64 y)) (-.f64 (fma.f64 z x -4) x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 y) 1) -1) (pow.f64 (/.f64 (sqrt.f64 y) (-.f64 (fma.f64 x z -4) x)) -1))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2) (/.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 (fma.f64 z x -4) x) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.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))
(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 (-.f64 (fma.f64 z x -4) x) y)
(*.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))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2))) (/.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 (fma.f64 x z -4) x)))))
(/.f64 (*.f64 1 (*.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (-.f64 (fma.f64 z x -4) x)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 z x -4) x)) 2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 y) -2) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 z x -4) x)) 2)) (/.f64 (cbrt.f64 (-.f64 (fma.f64 z x -4) x)) (cbrt.f64 y)))
(*.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))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) 2) (/.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 (fma.f64 z x -4) x) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.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))
(*.f64 (/.f64 1 (pow.f64 (-.f64 (fma.f64 x z -4) x) -1/2)) (/.f64 1 (/.f64 y (sqrt.f64 (-.f64 (fma.f64 x z -4) x)))))
(*.f64 (/.f64 1 (pow.f64 (-.f64 (fma.f64 z x -4) x) -1/2)) (/.f64 (sqrt.f64 (-.f64 (fma.f64 z x -4) x)) y))
(/.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 z x -4) x)) y) (pow.f64 (-.f64 (fma.f64 z x -4) x) -1/2))
(*.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))
(*.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (-.f64 (fma.f64 x z -4) x) (cbrt.f64 y)))
(/.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (cbrt.f64 y) (-.f64 (fma.f64 z x -4) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) -2) (cbrt.f64 y)) (-.f64 (fma.f64 z x -4) 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))
(pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 (fma.f64 x z -4) x))) -2)
(pow.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 (fma.f64 z x -4) x))) -2)
(pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 1)
(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 (-.f64 (fma.f64 z x -4) x) y)
(pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 2) 1/2)
(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 (-.f64 (fma.f64 z x -4) x) y)
(pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 3) 1/3)
(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 (-.f64 (fma.f64 z x -4) x) y)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 3)
(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 (-.f64 (fma.f64 z x -4) x) y)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 2)
(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 (-.f64 (fma.f64 z x -4) x) y)
(pow.f64 (/.f64 y (-.f64 (fma.f64 x z -4) x)) -1)
(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 (-.f64 (fma.f64 z x -4) x) y)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (-.f64 (fma.f64 x z -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 (-.f64 (fma.f64 z x -4) x) y)
(pow.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 x z -4) x) 3) (pow.f64 y 3)) 1/3)
(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 (-.f64 (fma.f64 z x -4) x) y)
(pow.f64 (/.f64 (/.f64 y (-.f64 (fma.f64 x z -4) x)) 1) -1)
(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 (-.f64 (fma.f64 z x -4) x) y)
(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))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y))))
(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))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))) (sqrt.f64 (log.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y))))
(neg.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) (neg.f64 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 (-.f64 (fma.f64 z x -4) x) y)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 2))
(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 (-.f64 (fma.f64 z x -4) x) y)
(log.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -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 (-.f64 (fma.f64 z x -4) x) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (fma.f64 x z -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 (-.f64 (fma.f64 z x -4) x) y)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 3))
(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 (-.f64 (fma.f64 z x -4) x) y)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 x z -4) x) 3) (pow.f64 y 3)))
(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 (-.f64 (fma.f64 z x -4) x) y)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 x z -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 (-.f64 (fma.f64 z x -4) x) y)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (fma.f64 x z -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 (-.f64 (fma.f64 z x -4) x) y)
(exp.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -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 (-.f64 (fma.f64 z x -4) x) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 1))
(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 (-.f64 (fma.f64 z x -4) x) y)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 1/3))
(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 (-.f64 (fma.f64 z x -4) x) y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 3))
(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 (-.f64 (fma.f64 z x -4) x) y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))) 2))
(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 (-.f64 (fma.f64 z x -4) x) y)
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 (fma.f64 x z -4) x))) -1))
(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 (-.f64 (fma.f64 z x -4) x) y)
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) 1) 1))
(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 (-.f64 (fma.f64 z x -4) x) y)
(exp.f64 (-.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1) (log.f64 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 (-.f64 (fma.f64 z x -4) x) y)
(exp.f64 (-.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) (*.f64 (log.f64 y) 1)))
(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 (-.f64 (fma.f64 z x -4) x) y)
(exp.f64 (-.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1) (*.f64 (log.f64 y) 1)))
(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 (-.f64 (fma.f64 z x -4) x) y)
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1) (neg.f64 (log.f64 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 (-.f64 (fma.f64 z x -4) x) y)
(exp.f64 (+.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 (-.f64 (fma.f64 x z -4) x)) 1)))
(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 (-.f64 (fma.f64 z x -4) x) y)

eval154.0ms (2.4%)

Compiler

Compiled 5379 to 3243 computations (39.7% saved)

prune84.0ms (1.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New31013323
Fresh000
Picked101
Done202
Total31313326
Error
0b
Counts
326 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
▶2.6b
(fabs.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
19.7b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
▶30.4b
(fabs.f64 (/.f64 (+.f64 z -1) (/.f64 y x)))
▶44.5b
(fabs.f64 (/.f64 (*.f64 z x) y))
43.6b
(fabs.f64 (/.f64 z (/.f64 y x)))
▶33.3b
(fabs.f64 (/.f64 4 y))
▶3.3b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))
30.3b
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
15.5b
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
2.7b
(fabs.f64 (+.f64 (*.f64 (/.f64 -1 y) (*.f64 x z)) (*.f64 (/.f64 -1 y) (-.f64 -4 x))))
43.6b
(fabs.f64 (*.f64 (/.f64 z y) x))
43.6b
(fabs.f64 (*.f64 z (/.f64 (neg.f64 x) y)))
39.5b
(fabs.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 3)))
Compiler

Compiled 304 to 212 computations (30.3% saved)

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.4b
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
Compiler

Compiled 39 to 19 computations (51.3% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
1.0ms
z
@inf
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
0.0ms
x
@inf
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
0.0ms
z
@-inf
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
0.0ms
y
@-inf
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)

rewrite56.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
550×log-prod_binary64
386×fma-def_binary64
350×pow-prod-down_binary64
295×pow2_binary64
250×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0913
121311
2319411
Stop Event
1×node limit
Counts
1 → 64
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 z (/.f64 y x)) (neg.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (fma.f64 z x -4) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 z (/.f64 y x)) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (fma.f64 z x -4) y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 z x -4) x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (fma.f64 z x -4) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)) 2) (cbrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 z x -4) x) 2)) (*.f64 (cbrt.f64 (-.f64 (fma.f64 z x -4) x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)) (sqrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 z x -4) x)) (*.f64 (sqrt.f64 (-.f64 (fma.f64 z x -4) x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 (fma.f64 z x -4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 z x -4) x) 2)) 1) (/.f64 (cbrt.f64 (-.f64 (fma.f64 z x -4) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 z x -4) x)) 1) (/.f64 (sqrt.f64 (-.f64 (fma.f64 z x -4) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (-.f64 (fma.f64 z x -4) x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 z x -4) x) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 z x -4) x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 (fma.f64 z x -4) x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (-.f64 (fma.f64 z x -4) x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 z x -4) x) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 (fma.f64 z x -4) x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 (fma.f64 z x -4) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 z x -4) x) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (-.f64 (fma.f64 z x -4) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 z x -4) x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 (fma.f64 z x -4) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z x) (/.f64 1 y) (neg.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 z (/.f64 y x)) (neg.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) 2) (cbrt.f64 (/.f64 z (/.f64 y x))) (neg.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 z (/.f64 y x))) (sqrt.f64 (/.f64 z (/.f64 y x))) (neg.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (*.f64 z x) (cbrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 (*.f64 z x) (sqrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z 1) (/.f64 x y) (neg.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x 1) (/.f64 z y) (neg.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 z x) 2)) 1) (/.f64 (cbrt.f64 (*.f64 z x)) y) (neg.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 z x)) 1) (/.f64 (sqrt.f64 (*.f64 z x)) y) (neg.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 z x) 2)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (*.f64 z x)) (cbrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 z x) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))))))

simplify63.0ms (1%)

Algorithm
1×egg-herbie
Rules
353×fma-def_binary64
337×log-prod_binary64
303×distribute-rgt-in_binary64
293×distribute-lft-in_binary64
293×log-div_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01971723
14541603
213461276
360791276
Stop Event
1×node limit
Counts
88 → 125
Calls
Call 1
Inputs
(*.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 -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 (/.f64 z (/.f64 y x)) (neg.f64 (/.f64 (+.f64 x 4) y)))
(+.f64 0 (/.f64 (-.f64 (fma.f64 z x -4) x) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))))
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 (+.f64 x 4) y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y))) 1)
(-.f64 (/.f64 (fma.f64 z x -4) y) (/.f64 x y))
(*.f64 (-.f64 (fma.f64 z x -4) x) (/.f64 1 y))
(*.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y) 1)
(*.f64 1 (/.f64 (-.f64 (fma.f64 z x -4) x) y))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)) 2) (cbrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 z x -4) x) 2)) (*.f64 (cbrt.f64 (-.f64 (fma.f64 z x -4) x)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)) (sqrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 z x -4) x)) (*.f64 (sqrt.f64 (-.f64 (fma.f64 z x -4) x)) (/.f64 1 y)))
(*.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (-.f64 (fma.f64 z x -4) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 z x -4) x) 2)) 1) (/.f64 (cbrt.f64 (-.f64 (fma.f64 z x -4) x)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 z x -4) x)) 1) (/.f64 (sqrt.f64 (-.f64 (fma.f64 z x -4) x)) y))
(*.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (-.f64 (fma.f64 z x -4) x) (cbrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 z x -4) x) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 z x -4) x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 (fma.f64 z x -4) x)) (cbrt.f64 y)))
(*.f64 (pow.f64 y -1/2) (/.f64 (-.f64 (fma.f64 z x -4) x) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 z x -4) x) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 (fma.f64 z x -4) x)) (sqrt.f64 y)))
(pow.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)) 2)
(pow.f64 (/.f64 y (-.f64 (fma.f64 z x -4) x)) -1)
(pow.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 z x -4) x) 3) (pow.f64 y 3)) 1/3)
(pow.f64 (/.f64 (/.f64 y (-.f64 (fma.f64 z x -4) x)) 1) -1)
(neg.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 z x -4) x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))
(exp.f64 (log.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 (fma.f64 z x -4) x))) -1))
(fma.f64 (*.f64 z x) (/.f64 1 y) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 1 (/.f64 z (/.f64 y x)) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) 2) (cbrt.f64 (/.f64 z (/.f64 y x))) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (sqrt.f64 (/.f64 z (/.f64 y x))) (sqrt.f64 (/.f64 z (/.f64 y x))) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (*.f64 z x) (cbrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (pow.f64 y -1/2) (/.f64 (*.f64 z x) (sqrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (/.f64 z 1) (/.f64 x y) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (/.f64 x 1) (/.f64 z y) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 z x) 2)) 1) (/.f64 (cbrt.f64 (*.f64 z x)) y) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 z x)) 1) (/.f64 (sqrt.f64 (*.f64 z x)) y) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 z x) 2)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (*.f64 z x)) (cbrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 z x) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))
Outputs
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(/.f64 (neg.f64 (+.f64 4 x)) y)
(/.f64 (+.f64 -4 (neg.f64 x)) y)
(/.f64 (-.f64 -4 x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(-.f64 (*.f64 (/.f64 z y) x) (/.f64 (+.f64 4 x) y))
(-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 4 x) y))
(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(-.f64 (*.f64 (/.f64 z y) x) (/.f64 (+.f64 4 x) y))
(-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 4 x) y))
(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(-.f64 (*.f64 (/.f64 z y) x) (/.f64 (+.f64 4 x) y))
(-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 4 x) y))
(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(-.f64 (*.f64 (/.f64 z y) x) (/.f64 (+.f64 4 x) y))
(-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 4 x) y))
(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(-.f64 (*.f64 (/.f64 z y) x) (/.f64 (+.f64 4 x) y))
(-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 4 x) y))
(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(-.f64 (*.f64 (/.f64 z y) x) (/.f64 (+.f64 4 x) y))
(-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 4 x) y))
(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 x (/.f64 y z))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(-.f64 (*.f64 (/.f64 z y) x) (/.f64 (+.f64 4 x) y))
(-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 4 x) y))
(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(-.f64 (*.f64 (/.f64 z y) x) (/.f64 (+.f64 4 x) y))
(-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 4 x) y))
(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y)))
(-.f64 (*.f64 (/.f64 z y) x) (/.f64 (+.f64 4 x) y))
(-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 4 x) y))
(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))
(/.f64 -4 y)
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (+.f64 z -1) (/.f64 y x))
(/.f64 x (/.f64 y (+.f64 -1 z)))
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y)))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y))
(neg.f64 (/.f64 (fma.f64 -1 z 1) (/.f64 y x)))
(/.f64 (neg.f64 (-.f64 1 z)) (/.f64 y x))
(*.f64 (/.f64 (-.f64 1 z) y) (neg.f64 x))
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 (fma.f64 -1 z 1) (/.f64 y x))) (/.f64 4 y))
(fma.f64 -1 (/.f64 x (/.f64 y (-.f64 1 z))) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x (/.f64 y (-.f64 1 z))))
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 (fma.f64 -1 z 1) (/.f64 y x))) (/.f64 4 y))
(fma.f64 -1 (/.f64 x (/.f64 y (-.f64 1 z))) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x (/.f64 y (-.f64 1 z))))
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (neg.f64 (/.f64 (fma.f64 -1 z 1) (/.f64 y x))) (/.f64 4 y))
(fma.f64 -1 (/.f64 x (/.f64 y (-.f64 1 z))) (/.f64 -4 y))
(-.f64 (/.f64 -4 y) (/.f64 x (/.f64 y (-.f64 1 z))))
(+.f64 (/.f64 z (/.f64 y x)) (neg.f64 (/.f64 (+.f64 x 4) y)))
(-.f64 (*.f64 (/.f64 z y) x) (/.f64 (+.f64 4 x) y))
(-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 4 x) y))
(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))
(+.f64 0 (/.f64 (-.f64 (fma.f64 z x -4) x) y))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(-.f64 (/.f64 z (/.f64 y x)) (/.f64 (+.f64 x 4) y))
(-.f64 (*.f64 (/.f64 z y) x) (/.f64 (+.f64 4 x) y))
(-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 4 x) y))
(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y))) 1)
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(-.f64 (/.f64 (fma.f64 z x -4) y) (/.f64 x y))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(*.f64 (-.f64 (fma.f64 z x -4) x) (/.f64 1 y))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(*.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y) 1)
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(*.f64 1 (/.f64 (-.f64 (fma.f64 z x -4) x) y))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(*.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)) 2))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)) 2) (cbrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 z x -4) x) 2)) (*.f64 (cbrt.f64 (-.f64 (fma.f64 z x -4) x)) (/.f64 1 y)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 z x -4) x) 2)) (*.f64 (/.f64 1 y) (cbrt.f64 (-.f64 (fma.f64 z x -4) x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x z -4) x) 2)) (/.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) y))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)) (sqrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(*.f64 (sqrt.f64 (-.f64 (fma.f64 z x -4) x)) (*.f64 (sqrt.f64 (-.f64 (fma.f64 z x -4) x)) (/.f64 1 y)))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(*.f64 (neg.f64 (-.f64 (fma.f64 z x -4) x)) (/.f64 1 (neg.f64 y)))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(*.f64 (/.f64 1 y) (-.f64 (fma.f64 z x -4) x))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 z x -4) x) 2)) 1) (/.f64 (cbrt.f64 (-.f64 (fma.f64 z x -4) x)) y))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 z x -4) x) 2)) (*.f64 (/.f64 1 y) (cbrt.f64 (-.f64 (fma.f64 z x -4) x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x z -4) x) 2)) (/.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 z x -4) x)) 1) (/.f64 (sqrt.f64 (-.f64 (fma.f64 z x -4) x)) y))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(*.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (-.f64 (fma.f64 z x -4) x) (cbrt.f64 y)))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 z x -4) x) 2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 z x -4) x) 2)) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x z -4) x) 2))) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x z -4) x) 2)) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (fma.f64 z x -4) x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 (fma.f64 z x -4) x)) (cbrt.f64 y)))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(*.f64 (pow.f64 y -1/2) (/.f64 (-.f64 (fma.f64 z x -4) x) (sqrt.f64 y)))
(*.f64 (pow.f64 y -1/2) (/.f64 (-.f64 (fma.f64 x z -4) x) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 z x -4) x) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 (fma.f64 z x -4) x)) (sqrt.f64 y)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x z -4) x) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 (fma.f64 x z -4) x)) (sqrt.f64 y)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 x z -4) x) 2)) (*.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 (fma.f64 x z -4) x))) (sqrt.f64 y)))
(pow.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y) 1)
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y) 2) 1/2)
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(pow.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y) 3) 1/3)
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)) 3)
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)) 2)
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(pow.f64 (/.f64 y (-.f64 (fma.f64 z x -4) x)) -1)
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(pow.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 z x -4) x) 3) (pow.f64 y 3)) 1/3)
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(pow.f64 (/.f64 (/.f64 y (-.f64 (fma.f64 z x -4) x)) 1) -1)
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(neg.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) (neg.f64 y)))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y) 2))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(log.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y))))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y) 3))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 z x -4) x) 3) (pow.f64 y 3)))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(exp.f64 (log.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y)) 1))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y))) 1/3))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y))) 3))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (fma.f64 z x -4) x) y))) 2))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 (fma.f64 z x -4) x))) -1))
(-.f64 (*.f64 x (-.f64 (/.f64 z y) (/.f64 1 y))) (/.f64 4 y))
(fma.f64 x (+.f64 (/.f64 z y) (/.f64 -1 y)) (/.f64 -4 y))
(/.f64 (-.f64 (fma.f64 x z -4) x) y)
(fma.f64 (*.f64 z x) (/.f64 1 y) (neg.f64 (/.f64 (+.f64 x 4) y)))
(-.f64 (*.f64 (/.f64 z y) x) (/.f64 (+.f64 4 x) y))
(-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 4 x) y))
(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))
(fma.f64 1 (/.f64 z (/.f64 y x)) (neg.f64 (/.f64 (+.f64 x 4) y)))
(-.f64 (*.f64 (/.f64 z y) x) (/.f64 (+.f64 4 x) y))
(-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 4 x) y))
(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 z (/.f64 y x))) 2) (cbrt.f64 (/.f64 z (/.f64 y x))) (neg.f64 (/.f64 (+.f64 x 4) y)))
(-.f64 (*.f64 (/.f64 z y) x) (/.f64 (+.f64 4 x) y))
(-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 4 x) y))
(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))
(fma.f64 (sqrt.f64 (/.f64 z (/.f64 y x))) (sqrt.f64 (/.f64 z (/.f64 y x))) (neg.f64 (/.f64 (+.f64 x 4) y)))
(-.f64 (*.f64 (/.f64 z y) x) (/.f64 (+.f64 4 x) y))
(-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 4 x) y))
(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (*.f64 z x) (cbrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 z (/.f64 (cbrt.f64 y) x)) (/.f64 (neg.f64 (+.f64 4 x)) y))
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (*.f64 (/.f64 z (cbrt.f64 y)) x) (/.f64 (+.f64 -4 (neg.f64 x)) y))
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (*.f64 x (/.f64 z (cbrt.f64 y))) (/.f64 (-.f64 -4 x) y))
(fma.f64 (pow.f64 y -1/2) (/.f64 (*.f64 z x) (sqrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (pow.f64 y -1/2) (/.f64 z (/.f64 (sqrt.f64 y) x)) (/.f64 (neg.f64 (+.f64 4 x)) y))
(-.f64 (*.f64 (pow.f64 y -1/2) (/.f64 x (/.f64 (sqrt.f64 y) z))) (/.f64 (+.f64 4 x) y))
(fma.f64 (pow.f64 y -1/2) (*.f64 x (/.f64 z (sqrt.f64 y))) (/.f64 (-.f64 -4 x) y))
(fma.f64 (/.f64 z 1) (/.f64 x y) (neg.f64 (/.f64 (+.f64 x 4) y)))
(-.f64 (*.f64 (/.f64 z y) x) (/.f64 (+.f64 4 x) y))
(-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 4 x) y))
(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))
(fma.f64 (/.f64 x 1) (/.f64 z y) (neg.f64 (/.f64 (+.f64 x 4) y)))
(-.f64 (*.f64 (/.f64 z y) x) (/.f64 (+.f64 4 x) y))
(-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 4 x) y))
(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 z x) 2)) 1) (/.f64 (cbrt.f64 (*.f64 z x)) y) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x z) 2)) (/.f64 (cbrt.f64 (*.f64 x z)) y) (/.f64 (neg.f64 (+.f64 4 x)) y))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x z) 2)) (/.f64 (cbrt.f64 (*.f64 x z)) y)) (/.f64 (+.f64 4 x) y))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x z) 2)) (/.f64 (cbrt.f64 (*.f64 x z)) y) (/.f64 (-.f64 -4 x) y))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 z x)) 1) (/.f64 (sqrt.f64 (*.f64 z x)) y) (neg.f64 (/.f64 (+.f64 x 4) y)))
(-.f64 (*.f64 (/.f64 z y) x) (/.f64 (+.f64 4 x) y))
(-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 4 x) y))
(fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))
(fma.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) (/.f64 (neg.f64 (+.f64 4 x)) y))
(-.f64 (*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y))) (/.f64 (+.f64 4 x) y))
(fma.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) (/.f64 (-.f64 -4 x) y))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) (/.f64 (neg.f64 (+.f64 4 x)) y))
(-.f64 (*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y))) (/.f64 (+.f64 4 x) y))
(fma.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) (/.f64 (-.f64 -4 x) y))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 z x) 2)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (*.f64 z x)) (cbrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x z) 2)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 y)) (/.f64 (neg.f64 (+.f64 4 x)) y))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x z) 2)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 y)) (/.f64 (+.f64 -4 (neg.f64 x)) y))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x z) 2)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (*.f64 x z)) (cbrt.f64 y)) (/.f64 (-.f64 -4 x) y))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) (/.f64 (neg.f64 (+.f64 4 x)) y))
(-.f64 (*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y))) (/.f64 (+.f64 4 x) y))
(fma.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) (/.f64 (-.f64 -4 x) y))
(fma.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (/.f64 (neg.f64 (+.f64 4 x)) y))
(-.f64 (*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) (/.f64 (+.f64 4 x) y))
(fma.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 -4 x) y))
(fma.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (/.f64 (neg.f64 (+.f64 4 x)) y))
(-.f64 (*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) (/.f64 (+.f64 4 x) y))
(fma.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 -4 x) y))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 z x) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x z) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x z)) (sqrt.f64 y)) (/.f64 (neg.f64 (+.f64 4 x)) y))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x z) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x z)) (sqrt.f64 y)) (/.f64 (+.f64 -4 (neg.f64 x)) y))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x z) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x z)) (sqrt.f64 y)) (/.f64 (-.f64 -4 x) y))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 y)) (neg.f64 (/.f64 (+.f64 x 4) y)))
(fma.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (/.f64 (neg.f64 (+.f64 4 x)) y))
(-.f64 (*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))) (/.f64 (+.f64 4 x) y))
(fma.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 -4 x) y))

localize9.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓5.2b
(/.f64 (*.f64 z x) y)
Compiler

Compiled 20 to 6 computations (70% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

9 calls:

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

rewrite61.0ms (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)))))))

simplify44.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
664×log-div_binary64
566×log-prod_binary64
508×associate-/l*_binary64
356×associate-*l/_binary64
337×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0106568
1282472
2979376
35012356
Stop Event
1×node limit
Counts
41 → 48
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 (/.f64 z y) x)) 1)
(*.f64 z (/.f64 1 (/.f64 y x)))
(*.f64 z (*.f64 x (/.f64 1 y)))
(*.f64 x (*.f64 z (/.f64 1 y)))
(*.f64 (*.f64 z x) (/.f64 1 y))
(*.f64 (*.f64 (/.f64 z y) x) 1)
(*.f64 1 (*.f64 (/.f64 z y) x))
(*.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2) (cbrt.f64 (*.f64 (/.f64 z y) x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (*.f64 (cbrt.f64 (*.f64 z x)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) (sqrt.f64 (*.f64 (/.f64 z y) x)))
(*.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 1 y)))
(*.f64 (*.f64 x (neg.f64 z)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (*.f64 z x))
(*.f64 (/.f64 z 1) (/.f64 x y))
(*.f64 (/.f64 x 1) (/.f64 z y))
(*.f64 (/.f64 z y) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z x)) y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) 1) (/.f64 (sqrt.f64 (*.f64 z x)) y))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 z x) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 z y) x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 y)))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 z x) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 y)))
(pow.f64 (*.f64 (/.f64 z y) x) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) 2)
(pow.f64 (/.f64 y (*.f64 z x)) -1)
(neg.f64 (/.f64 (*.f64 z x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 z y) x)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 z y) x)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) x)))
(exp.f64 (log.f64 (*.f64 (/.f64 z y) x)))
Outputs
(-.f64 (+.f64 1 (*.f64 (/.f64 z y) x)) 1)
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(*.f64 z (/.f64 1 (/.f64 y x)))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(*.f64 z (*.f64 x (/.f64 1 y)))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(*.f64 x (*.f64 z (/.f64 1 y)))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(*.f64 (*.f64 z x) (/.f64 1 y))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(*.f64 (*.f64 (/.f64 z y) x) 1)
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(*.f64 1 (*.f64 (/.f64 z y) x))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(*.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 2) (cbrt.f64 (*.f64 (/.f64 z y) x)))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (*.f64 (cbrt.f64 (*.f64 z x)) (/.f64 1 y)))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(*.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) (sqrt.f64 (*.f64 (/.f64 z y) x)))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(*.f64 (sqrt.f64 (*.f64 z x)) (*.f64 (sqrt.f64 (*.f64 z x)) (/.f64 1 y)))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(*.f64 (*.f64 x (neg.f64 z)) (/.f64 1 (neg.f64 y)))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 1 y) (*.f64 z x))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 z 1) (/.f64 x y))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 x 1) (/.f64 z y))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 z y) x)
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z x)) y))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) 1) (/.f64 (sqrt.f64 (*.f64 z x)) y))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 3))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 z x) (cbrt.f64 y)))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 z y) x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 z (/.f64 x y)))) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 z (/.f64 x y)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 z x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 z x)) (cbrt.f64 y)))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(/.f64 (*.f64 z x) (pow.f64 (cbrt.f64 y) 3))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 z x) (sqrt.f64 y)))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 z x)) (sqrt.f64 y)))
(*.f64 (/.f64 z (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(pow.f64 (*.f64 (/.f64 z y) x) 1)
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(pow.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 z y) x)) 3)
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 z y) x)) 2)
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(pow.f64 (/.f64 y (*.f64 z x)) -1)
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(neg.f64 (/.f64 (*.f64 z x) (neg.f64 y)))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 2))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(log.f64 (exp.f64 (*.f64 (/.f64 z y) x)))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 z y) x) 3))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 z x) 3) (pow.f64 y 3)))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 z y) x)))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 z y) x)))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))
(exp.f64 (log.f64 (*.f64 (/.f64 z y) x)))
(+.f64 1 (-.f64 (*.f64 z (/.f64 x y)) 1))
(+.f64 (*.f64 z (/.f64 x y)) 0)
(*.f64 z (/.f64 x y))

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 28 to 14 computations (50% saved)

series7.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite52.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
481×log-prod_binary64
378×exp-prod_binary64
310×prod-exp_binary64
265×pow-prod-down_binary64
243×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
117710
2256010
Stop Event
1×node limit
Counts
1 → 64
Calls
Call 1
Inputs
(/.f64 (+.f64 z -1) (/.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 z -1) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (+.f64 z -1) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (+.f64 z -1) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (+.f64 z -1) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (+.f64 z -1) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 z -1) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z -1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (+.f64 z -1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 z -1) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 z -1) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) 2) (cbrt.f64 (*.f64 (+.f64 z -1) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 z -1)) 2) (*.f64 (cbrt.f64 (+.f64 z -1)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) (sqrt.f64 (*.f64 (+.f64 z -1) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 z -1)) (*.f64 (sqrt.f64 (+.f64 z -1)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 z -1)) (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (+.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z -1) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (+.f64 z -1) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 z -1)) 2) y) (/.f64 (cbrt.f64 (+.f64 z -1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 z -1)) y) (/.f64 (sqrt.f64 (+.f64 z -1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 z -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 z -1)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 z -1)) 1) (/.f64 (sqrt.f64 (+.f64 z -1)) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) -2) (/.f64 (+.f64 z -1) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 z -1)) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 (+.f64 z -1) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 z -1)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 (+.f64 z -1)) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y x) -1/2) (/.f64 (+.f64 z -1) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 z -1)) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 (+.f64 z -1)) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z -1) 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 z -1) (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 z -1) y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 z -1) y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 z -1) y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 z -1) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 z -1) (/.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 z -1) (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (+.f64 z -1) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (+.f64 z -1) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 z -1) 3) (pow.f64 (/.f64 y x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (*.f64 (+.f64 z -1) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 z -1) (/.f64 x y)))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 z -1) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 z -1) (/.f64 x y))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 z -1) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 z -1) (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 z -1) (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 (+.f64 z -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 z -1) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 z -1) (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 z -1) 3) (pow.f64 (/.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 z -1) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 z -1) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 z -1) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 z -1) (/.f64 x y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 z -1) (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 z -1) (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (+.f64 z -1) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 z -1)) 1) (log.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 z -1)) (*.f64 (log.f64 (/.f64 y x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 z -1)) 1) (*.f64 (log.f64 (/.f64 y x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 z -1)) 1) (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 (+.f64 z -1) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 x y)) (*.f64 (log.f64 (+.f64 z -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (+.f64 z -1) y)) (*.f64 (log.f64 x) 1)))))))

simplify66.0ms (1%)

Algorithm
1×egg-herbie
Rules
528×log-div_binary64
441×associate-/l*_binary64
375×distribute-rgt-in_binary64
368×distribute-lft-in_binary64
319×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01861598
14661127
214681127
372301127
Stop Event
1×node limit
Counts
100 → 93
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 x y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(/.f64 (*.f64 (-.f64 z 1) x) y)
(+.f64 0 (*.f64 (+.f64 z -1) (/.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (+.f64 z -1) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (+.f64 z -1) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (+.f64 z -1) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (+.f64 z -1) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 z -1) (/.f64 x y)))) 1)
(*.f64 (+.f64 z -1) (/.f64 x y))
(*.f64 x (/.f64 (+.f64 z -1) y))
(*.f64 (*.f64 (+.f64 z -1) (/.f64 x y)) 1)
(*.f64 1 (*.f64 (+.f64 z -1) (/.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) 2) (cbrt.f64 (*.f64 (+.f64 z -1) (/.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 z -1)) 2) (*.f64 (cbrt.f64 (+.f64 z -1)) (/.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) (sqrt.f64 (*.f64 (+.f64 z -1) (/.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 z -1)) (*.f64 (sqrt.f64 (+.f64 z -1)) (/.f64 x y)))
(*.f64 (neg.f64 (+.f64 z -1)) (/.f64 1 (/.f64 (neg.f64 y) x)))
(*.f64 (/.f64 x y) (+.f64 z -1))
(*.f64 (/.f64 (+.f64 z -1) y) x)
(*.f64 (/.f64 1 y) (/.f64 (+.f64 z -1) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 z -1)) 2) y) (/.f64 (cbrt.f64 (+.f64 z -1)) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 z -1)) y) (/.f64 (sqrt.f64 (+.f64 z -1)) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 z -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 z -1)) (/.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 z -1)) 1) (/.f64 (sqrt.f64 (+.f64 z -1)) (/.f64 y x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) -2) (/.f64 (+.f64 z -1) (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 z -1)) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 (+.f64 z -1) (/.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 z -1)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 (+.f64 z -1)) (cbrt.f64 (/.f64 y x))))
(*.f64 (pow.f64 (/.f64 y x) -1/2) (/.f64 (+.f64 z -1) (sqrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 z -1)) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 (+.f64 z -1)) (sqrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (+.f64 z -1) 1) (/.f64 x y))
(*.f64 (/.f64 (+.f64 z -1) (neg.f64 y)) (neg.f64 x))
(*.f64 (*.f64 (/.f64 (+.f64 z -1) y) 1) x)
(*.f64 (*.f64 (/.f64 (+.f64 z -1) y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 (+.f64 z -1) y) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 (+.f64 z -1) (/.f64 x y)) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 z -1) (/.f64 x y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (+.f64 z -1) (/.f64 x y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) 2)
(pow.f64 (/.f64 y (*.f64 (+.f64 z -1) x)) -1)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (+.f64 z -1) (/.f64 x y))))
(pow.f64 (/.f64 (pow.f64 (+.f64 z -1) 3) (pow.f64 (/.f64 y x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 y (*.f64 (+.f64 z -1) x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 z -1) (/.f64 x y)))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 z -1) (/.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 z -1) (/.f64 x y))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 z -1) (/.f64 x y)))))
(neg.f64 (/.f64 (+.f64 z -1) (/.f64 (neg.f64 y) x)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 z -1) (/.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (+.f64 z -1) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 z -1) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 z -1) (/.f64 x y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 z -1) 3) (pow.f64 (/.f64 y x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 z -1) (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 z -1) (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 (+.f64 z -1) (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 z -1) (/.f64 x y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 z -1) (/.f64 x y)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 z -1) (/.f64 x y)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (+.f64 z -1) x))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) 1) 1))
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 z -1)) 1) (log.f64 (/.f64 y x))))
(exp.f64 (-.f64 (log.f64 (+.f64 z -1)) (*.f64 (log.f64 (/.f64 y x)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 z -1)) 1) (*.f64 (log.f64 (/.f64 y x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 z -1)) 1) (log.f64 (/.f64 x y))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 (+.f64 z -1) y))))
(exp.f64 (+.f64 (log.f64 (/.f64 x y)) (*.f64 (log.f64 (+.f64 z -1)) 1)))
(exp.f64 (+.f64 (log.f64 (/.f64 (+.f64 z -1) y)) (*.f64 (log.f64 x) 1)))
Outputs
(*.f64 -1 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(/.f64 x (neg.f64 y))
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 x z) y)
(/.f64 z (/.f64 y x))
(*.f64 (/.f64 x y) z)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 x y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 z -1) (/.f64 x y))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 z -1) (/.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (/.f64 (+.f64 -1 z) y))))) (sqrt.f64 (log.f64 (*.f64 x (/.f64 (+.f64 -1 z) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 x z (neg.f64 x)) y)))) (sqrt.f64 (log.f64 (/.f64 (fma.f64 x z (neg.f64 x)) y))))
(neg.f64 (/.f64 (+.f64 z -1) (/.f64 (neg.f64 y) x)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 z -1) (/.f64 x y)) 2))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (+.f64 z -1) y)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 z -1) (/.f64 x y)))))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 z -1) (/.f64 x y)) 3))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 z -1) 3) (pow.f64 (/.f64 y x) 3)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 z -1) (/.f64 x y))))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 z -1) (/.f64 x y))))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(exp.f64 (log.f64 (*.f64 (+.f64 z -1) (/.f64 x y))))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) 1))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 z -1) (/.f64 x y)))) 1/3))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 z -1) (/.f64 x y)))) 3))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 z -1) (/.f64 x y)))) 2))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (+.f64 z -1) x))) -1))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 z -1) (/.f64 x y))) 1) 1))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 z -1)) 1) (log.f64 (/.f64 y x))))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(exp.f64 (-.f64 (log.f64 (+.f64 z -1)) (*.f64 (log.f64 (/.f64 y x)) 1)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 z -1)) 1) (*.f64 (log.f64 (/.f64 y x)) 1)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 z -1)) 1) (log.f64 (/.f64 x y))))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 (+.f64 z -1) y))))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(exp.f64 (+.f64 (log.f64 (/.f64 x y)) (*.f64 (log.f64 (+.f64 z -1)) 1)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)
(exp.f64 (+.f64 (log.f64 (/.f64 (+.f64 z -1) y)) (*.f64 (log.f64 x) 1)))
(+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x z) y))
(*.f64 x (/.f64 (+.f64 -1 z) y))
(/.f64 (fma.f64 x z (neg.f64 x)) y)

localize35.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 x 4) y)
✓7.2b
(/.f64 x (/.f64 y z))
Compiler

Compiled 46 to 20 computations (56.5% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite59.0ms (0.9%)

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))))))))

simplify49.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
668×log-div_binary64
583×log-prod_binary64
488×associate-*l/_binary64
439×fma-def_binary64
429×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0113618
1295606
21013606
35692606
Stop Event
1×node limit
Counts
77 → 48
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 (+.f64 1 (*.f64 x (/.f64 z y))) 1)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (*.f64 x (/.f64 z y)) 1)
(*.f64 1 (*.f64 x (/.f64 z y)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (cbrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) (sqrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) z)))
(*.f64 (/.f64 z y) x)
(*.f64 (/.f64 x y) z)
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 z)))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y z)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y z)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 x (cbrt.f64 (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y z))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y z))) (/.f64 x (sqrt.f64 (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y z))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y z))))
(*.f64 (/.f64 x 1) (/.f64 z y))
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 z))
(*.f64 (*.f64 (/.f64 x y) 1) z)
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 x (/.f64 z y)) 1)
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2)
(pow.f64 (/.f64 y (*.f64 x z)) -1)
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) z)))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y z) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 z y))))
Outputs
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(-.f64 (+.f64 1 (*.f64 x (/.f64 z y))) 1)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 z (/.f64 x y))
(*.f64 (*.f64 x (/.f64 z y)) 1)
(*.f64 z (/.f64 x y))
(*.f64 1 (*.f64 x (/.f64 z y)))
(*.f64 z (/.f64 x y))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2))
(*.f64 z (/.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 2) (cbrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 z (/.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 z y)))
(*.f64 z (/.f64 x y))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) (sqrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 z (/.f64 x y))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 z y)))
(*.f64 z (/.f64 x y))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) z)))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 z y) x)
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z)))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 z)))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 z)))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y z)))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y z)))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 x (cbrt.f64 (/.f64 y z))))
(/.f64 (/.f64 x (cbrt.f64 (/.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 y z)) 2))
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (cbrt.f64 (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (*.f64 x (/.f64 z y))))
(*.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (/.f64 y z)) 2))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y z))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (/.f64 x (cbrt.f64 (/.f64 y z))))
(/.f64 (/.f64 x (cbrt.f64 (/.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 y z)) 2))
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (cbrt.f64 (/.f64 y z))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y z))) (/.f64 x (sqrt.f64 (/.f64 y z))))
(/.f64 (/.f64 x (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(/.f64 x (*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y z))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y z))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y z))) (/.f64 x (sqrt.f64 (/.f64 y z))))
(/.f64 (/.f64 x (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(/.f64 x (*.f64 (sqrt.f64 (/.f64 y z)) (sqrt.f64 (/.f64 y z))))
(*.f64 (/.f64 x 1) (/.f64 z y))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 z))
(*.f64 z (/.f64 x y))
(*.f64 (*.f64 (/.f64 x y) 1) z)
(*.f64 z (/.f64 x y))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (/.f64 x y))
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (/.f64 x y))
(pow.f64 (*.f64 x (/.f64 z y)) 1)
(*.f64 z (/.f64 x y))
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)
(*.f64 z (/.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3)
(*.f64 z (/.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2)
(*.f64 z (/.f64 x y))
(pow.f64 (/.f64 y (*.f64 x z)) -1)
(*.f64 z (/.f64 x y))
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) z)))
(*.f64 z (/.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2))
(*.f64 z (/.f64 x y))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))
(*.f64 z (/.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3))
(*.f64 z (/.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y z) 3)))
(*.f64 z (/.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))
(*.f64 z (/.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))
(*.f64 z (/.f64 x y))
(exp.f64 (log.f64 (*.f64 x (/.f64 z y))))
(*.f64 z (/.f64 x y))

eval121.0ms (1.9%)

Compiler

Compiled 5588 to 3029 computations (45.8% saved)

prune104.0ms (1.6%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New3648372
Fresh628
Picked101
Done044
Total37114385
Error
0b
Counts
385 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
✓2.6b
(fabs.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
▶19.7b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
✓30.4b
(fabs.f64 (/.f64 (+.f64 z -1) (/.f64 y x)))
✓44.5b
(fabs.f64 (/.f64 (*.f64 z x) y))
▶48.0b
(fabs.f64 (/.f64 (neg.f64 x) y))
43.6b
(fabs.f64 (/.f64 z (/.f64 y x)))
▶43.5b
(fabs.f64 (/.f64 x (/.f64 y z)))
✓33.3b
(fabs.f64 (/.f64 4 y))
▶2.6b
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z)))))
17.1b
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))))
30.3b
(fabs.f64 (*.f64 (/.f64 x y) (+.f64 z -1)))
43.6b
(fabs.f64 (*.f64 (/.f64 x y) z))
▶43.6b
(fabs.f64 (*.f64 z (/.f64 1 (/.f64 y x))))
43.6b
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
Compiler

Compiled 258 to 185 computations (28.3% saved)

localize38.0ms (0.6%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 x 4) y)
✓0.2b
(/.f64 x (/.f64 1 z))
✓5.2b
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z)))
Compiler

Compiled 67 to 44 computations (34.3% saved)

series4.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

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

rewrite81.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
493×log-prod_binary64
444×prod-exp_binary64
381×exp-prod_binary64
333×pow-prod-down_binary64
241×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
119311
2264611
Stop Event
1×node limit
Counts
2 → 148
Calls
Call 1
Inputs
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z)))
(/.f64 x (/.f64 1 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 z y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 z y)))) 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 1 (*.f64 (/.f64 (/.f64 1 z) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (/.f64 (/.f64 1 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (/.f64 y (cbrt.f64 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 y z) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x z)) (/.f64 y (sqrt.f64 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (/.f64 y z) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 y) (/.f64 (/.f64 1 z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 (/.f64 1 z) x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 (neg.f64 y) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 y (/.f64 -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x y)) (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 x)) (*.f64 (neg.f64 y) (/.f64 -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1) (*.f64 (/.f64 -1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (*.f64 (/.f64 1 z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) -1) (*.f64 (/.f64 -1 z) (neg.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 (/.f64 x y) 1) (/.f64 1 z))))) (#(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 y) (cbrt.f64 (pow.f64 z -2))) (/.f64 1 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x y) (pow.f64 z -1/2)) (pow.f64 z -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (/.f64 1 y)) (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) (neg.f64 x)) (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x z) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2) 1/2)))) (#(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 (pow.f64 (*.f64 x z) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 (/.f64 1 z) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (/.f64 1 z) x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y z) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 z) (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (/.f64 z y)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (/.f64 z y))))) (sqrt.f64 (log.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 log.f64 (+.f64 1 (expm1.f64 (*.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 (*.f64 x z) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (/.f64 z y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 z y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 z y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 y) -1) (neg.f64 (log.f64 (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 y)) 1) (neg.f64 (log.f64 (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x z)) 1) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 x z)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x z)) 1) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 x y)) (*.f64 (log.f64 z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 x y)) (*.f64 (neg.f64 (log.f64 z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) -1) (log.f64 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 y)) 1) (log.f64 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 (*.f64 x z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 y) -1) (*.f64 (log.f64 (*.f64 x z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 y)) 1) (*.f64 (log.f64 (*.f64 x z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x z)) 1) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x z)) (*.f64 (log.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x z)) 1) (*.f64 (log.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x z)) (*.f64 (neg.f64 (log.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x z)) 1) (*.f64 (neg.f64 (log.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 x y)) (*.f64 (log.f64 z) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x z)) (pow.f64 (cbrt.f64 (*.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (cbrt.f64 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (/.f64 x (pow.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 z -2))) (/.f64 x (/.f64 1 (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 z -2))) (cbrt.f64 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 z -2))) (/.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 z))))))) (#(struct:change #<rule 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1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 1 z) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 z 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x z))) 2)) (cbrt.f64 (log.f64 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x z)))) (sqrt.f64 (log.f64 (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 -1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (*.f64 (neg.f64 (log.f64 z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 (neg.f64 (log.f64 z)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (*.f64 (log.f64 x) 1)))))))

simplify71.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
784×fma-def_binary64
351×distribute-rgt-in_binary64
315×log-prod_binary64
207×div-sub_binary64
206×cube-prod_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03581416
19161364
229181364
Stop Event
1×node limit
Counts
208 → 170
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(+.f64 0 (*.f64 x (/.f64 z y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 z y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 z y)))) 1)
(/.f64 1 (*.f64 y (/.f64 (/.f64 1 z) x)))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 z) x) y))
(/.f64 1 (/.f64 (/.f64 y z) x))
(/.f64 1 (/.f64 y (*.f64 x z)))
(/.f64 1 (/.f64 (/.f64 1 z) (/.f64 x y)))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 z) x))
(/.f64 x (/.f64 y z))
(/.f64 (*.f64 x z) y)
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (/.f64 y (cbrt.f64 (*.f64 x z))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 y z) (cbrt.f64 x)))
(/.f64 (sqrt.f64 (*.f64 x z)) (/.f64 y (sqrt.f64 (*.f64 x z))))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 y z) (sqrt.f64 x)))
(/.f64 -1 (*.f64 (neg.f64 y) (/.f64 (/.f64 1 z) x)))
(/.f64 -1 (*.f64 (/.f64 (/.f64 1 z) x) (neg.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y z)))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (/.f64 1 z)))
(/.f64 (neg.f64 x) (*.f64 y (/.f64 -1 z)))
(/.f64 (/.f64 x y) (/.f64 1 z))
(/.f64 (neg.f64 (*.f64 x z)) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 x y)) (/.f64 -1 z))
(/.f64 (*.f64 -1 (neg.f64 x)) (*.f64 (neg.f64 y) (/.f64 -1 z)))
(/.f64 (*.f64 (neg.f64 x) 1) (*.f64 (/.f64 -1 z) y))
(/.f64 (*.f64 x -1) (*.f64 (/.f64 1 z) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) -1) (*.f64 (/.f64 -1 z) (neg.f64 y)))
(/.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 x y) 1) (/.f64 1 z))
(/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 x y) (cbrt.f64 (pow.f64 z -2))) (/.f64 1 (cbrt.f64 z)))
(/.f64 (/.f64 (/.f64 x y) (pow.f64 z -1/2)) (pow.f64 z -1/2))
(/.f64 (*.f64 -1 (*.f64 x z)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (/.f64 1 y)) (/.f64 -1 z))
(/.f64 (*.f64 (/.f64 1 y) (neg.f64 x)) (/.f64 -1 z))
(/.f64 (*.f64 (*.f64 x z) -1) (neg.f64 y))
(pow.f64 (*.f64 x (/.f64 z y)) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 x (/.f64 z y))))
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2)
(pow.f64 (/.f64 (pow.f64 (*.f64 x z) 3) (pow.f64 y 3)) 1/3)
(pow.f64 (*.f64 y (/.f64 (/.f64 1 z) x)) -1)
(pow.f64 (*.f64 (/.f64 (/.f64 1 z) x) y) -1)
(pow.f64 (/.f64 (/.f64 y z) x) -1)
(pow.f64 (/.f64 y (*.f64 x z)) -1)
(pow.f64 (/.f64 (/.f64 1 z) (/.f64 x y)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (/.f64 z y)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (/.f64 z y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (/.f64 z y))))) (sqrt.f64 (log.f64 (*.f64 x (/.f64 z y)))))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x z) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z y))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (/.f64 z y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 z y)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 z y)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (/.f64 z y))) 1) 1))
(exp.f64 (-.f64 (*.f64 (log.f64 y) -1) (neg.f64 (log.f64 (*.f64 x z)))))
(exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 y)) 1) (neg.f64 (log.f64 (*.f64 x z)))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 y z))))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x z)) 1) (log.f64 y)))
(exp.f64 (-.f64 (log.f64 (*.f64 x z)) (*.f64 (log.f64 y) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x z)) 1) (*.f64 (log.f64 y) 1)))
(exp.f64 (-.f64 (log.f64 (/.f64 x y)) (*.f64 (log.f64 z) -1)))
(exp.f64 (-.f64 (log.f64 (/.f64 x y)) (*.f64 (neg.f64 (log.f64 z)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) -1) (log.f64 (*.f64 x z))))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 y)) 1) (log.f64 (*.f64 x z))))
(exp.f64 (+.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 (*.f64 x z)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) -1) (*.f64 (log.f64 (*.f64 x z)) 1)))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 y)) 1) (*.f64 (log.f64 (*.f64 x z)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x z)) 1) (neg.f64 (log.f64 y))))
(exp.f64 (+.f64 (log.f64 (*.f64 x z)) (*.f64 (log.f64 y) -1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x z)) 1) (*.f64 (log.f64 y) -1)))
(exp.f64 (+.f64 (log.f64 (*.f64 x z)) (*.f64 (neg.f64 (log.f64 y)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x z)) 1) (*.f64 (neg.f64 (log.f64 y)) 1)))
(exp.f64 (+.f64 (log.f64 (/.f64 x y)) (*.f64 (log.f64 z) 1)))
(+.f64 0 (*.f64 x z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) 1)
(*.f64 1 (*.f64 x z))
(*.f64 x z)
(*.f64 z x)
(*.f64 (*.f64 x z) 1)
(*.f64 (cbrt.f64 (*.f64 x z)) (pow.f64 (cbrt.f64 (*.f64 x z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (cbrt.f64 (*.f64 x z)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) z))
(*.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z))
(*.f64 (sqrt.f64 z) (/.f64 x (pow.f64 z -1/2)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 z)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 z)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 z -2))) (/.f64 x (/.f64 1 (cbrt.f64 z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 z -2))) (cbrt.f64 (*.f64 x z)))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 z -2))) (/.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 z -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 z -1/2)))
(*.f64 (/.f64 x -1) (neg.f64 z))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 x z) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 x z)))
(pow.f64 (pow.f64 (*.f64 x z) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x z) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x z)) 3)
(pow.f64 (sqrt.f64 (*.f64 x z)) 2)
(pow.f64 (/.f64 (/.f64 1 z) x) -1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 z -3)) 1/3)
(pow.f64 (/.f64 (/.f64 (/.f64 1 z) x) 1) -1)
(pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 z 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 z 3) (pow.f64 x 3)) 1/3)
(pow.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 x)) 3)
(pow.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 x)) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x z))) 2)) (cbrt.f64 (log.f64 (*.f64 x z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x z)))) (sqrt.f64 (log.f64 (*.f64 x z))))
(neg.f64 (/.f64 x (/.f64 -1 z)))
(sqrt.f64 (pow.f64 (*.f64 x z) 2))
(log.f64 (pow.f64 (exp.f64 z) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x z))))
(cbrt.f64 (pow.f64 (*.f64 x z) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 z -3)))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(log1p.f64 (expm1.f64 (*.f64 x z)))
(exp.f64 (log.f64 (*.f64 x z)))
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x z))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x z))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x z))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x z))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x z)) 1) 1))
(exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log.f64 z))))
(exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 z) -1)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 z) -1)))
(exp.f64 (-.f64 (log.f64 x) (*.f64 (neg.f64 (log.f64 z)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 (neg.f64 (log.f64 z)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 z)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 z) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 z) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (*.f64 (log.f64 x) 1)))
Outputs
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 x y) z)
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(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 x y) z)
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(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 x y) z)
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(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 x y) z)
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(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 x y) z)
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(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 x y) z)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
(*.f64 (/.f64 x y) z)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
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(*.f64 z x)
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(*.f64 z x)
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(*.f64 z x)
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(*.f64 z x)
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(*.f64 z x)
(*.f64 z x)
(*.f64 z x)
(+.f64 0 (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 z y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 z y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 z y)))) 1)
(*.f64 (/.f64 x y) z)
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(/.f64 1 (*.f64 y (/.f64 (/.f64 1 z) x)))
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(/.f64 1 (/.f64 (/.f64 y z) x))
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(*.f64 z (/.f64 x y))
(/.f64 1 (/.f64 y (*.f64 x z)))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 1 (/.f64 (/.f64 1 z) (/.f64 x y)))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (/.f64 1 y) (/.f64 (/.f64 1 z) x))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 x (/.f64 y z))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (/.f64 y (cbrt.f64 (*.f64 x z))))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 y z) (cbrt.f64 x)))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (sqrt.f64 (*.f64 x z)) (/.f64 y (sqrt.f64 (*.f64 x z))))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 y z) (sqrt.f64 x)))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 -1 (*.f64 (neg.f64 y) (/.f64 (/.f64 1 z) x)))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 -1 (*.f64 (/.f64 (/.f64 1 z) x) (neg.f64 y)))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y z)))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (/.f64 1 z)))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (neg.f64 x) (*.f64 y (/.f64 -1 z)))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (/.f64 x y) (/.f64 1 z))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (neg.f64 (*.f64 x z)) (neg.f64 y))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (neg.f64 (/.f64 x y)) (/.f64 -1 z))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 -1 (neg.f64 x)) (*.f64 (neg.f64 y) (/.f64 -1 z)))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 (neg.f64 x) 1) (*.f64 (/.f64 -1 z) y))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x -1) (*.f64 (/.f64 1 z) (neg.f64 y)))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 (neg.f64 x) -1) (*.f64 (/.f64 -1 z) (neg.f64 y)))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (/.f64 (/.f64 x y) 1) (/.f64 1 z))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (/.f64 (/.f64 x y) (cbrt.f64 (pow.f64 z -2))) (/.f64 1 (cbrt.f64 z)))
(/.f64 (/.f64 x y) (*.f64 (/.f64 1 (cbrt.f64 z)) (cbrt.f64 (pow.f64 z -2))))
(*.f64 (/.f64 x (*.f64 y (cbrt.f64 (pow.f64 z -2)))) (cbrt.f64 z))
(/.f64 (/.f64 x y) (/.f64 (cbrt.f64 (pow.f64 z -2)) (cbrt.f64 z)))
(/.f64 (/.f64 (/.f64 x y) (pow.f64 z -1/2)) (pow.f64 z -1/2))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 -1 (*.f64 x z)) (neg.f64 y))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 (neg.f64 x) (/.f64 1 y)) (/.f64 -1 z))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 (/.f64 1 y) (neg.f64 x)) (/.f64 -1 z))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 (*.f64 x z) -1) (neg.f64 y))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(pow.f64 (*.f64 x (/.f64 z y)) 1)
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(pow.f64 (E.f64) (log.f64 (*.f64 x (/.f64 z y))))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2) 1/2)
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3)
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2)
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(pow.f64 (/.f64 (pow.f64 (*.f64 x z) 3) (pow.f64 y 3)) 1/3)
(*.f64 (/.f64 x y) z)
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(pow.f64 (*.f64 y (/.f64 (/.f64 1 z) x)) -1)
(*.f64 (/.f64 x y) z)
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(pow.f64 (*.f64 (/.f64 (/.f64 1 z) x) y) -1)
(*.f64 (/.f64 x y) z)
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(pow.f64 (/.f64 (/.f64 y z) x) -1)
(*.f64 (/.f64 x y) z)
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(pow.f64 (/.f64 y (*.f64 x z)) -1)
(*.f64 (/.f64 x y) z)
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(pow.f64 (/.f64 (/.f64 1 z) (/.f64 x y)) -1)
(*.f64 (/.f64 x y) z)
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (/.f64 z y)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (/.f64 z y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 x y) z))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 x y) z))))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (/.f64 z y))))) (sqrt.f64 (log.f64 (*.f64 x (/.f64 z y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 x y) z)))) (sqrt.f64 (log.f64 (*.f64 (/.f64 x y) z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z (/.f64 x y))))) (sqrt.f64 (log.f64 (*.f64 z (/.f64 x y)))))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 z y)))))
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(*.f64 (/.f64 x y) z)
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(*.f64 (/.f64 x y) z)
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(*.f64 (/.f64 x y) z)
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(*.f64 (/.f64 x y) z)
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(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x z)) 1) (*.f64 (log.f64 y) 1)))
(*.f64 (/.f64 x y) z)
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(*.f64 (/.f64 x y) z)
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(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 y)) 1) (*.f64 (log.f64 (*.f64 x z)) 1)))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x z)) 1) (neg.f64 (log.f64 y))))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(exp.f64 (+.f64 (log.f64 (*.f64 x z)) (*.f64 (log.f64 y) -1)))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x z)) 1) (*.f64 (log.f64 y) -1)))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(exp.f64 (+.f64 (log.f64 (*.f64 x z)) (*.f64 (neg.f64 (log.f64 y)) 1)))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x z)) 1) (*.f64 (neg.f64 (log.f64 y)) 1)))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(exp.f64 (+.f64 (log.f64 (/.f64 x y)) (*.f64 (log.f64 z) 1)))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(+.f64 0 (*.f64 x z))
(*.f64 z x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) x))))
(*.f64 z x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x z))) 1)
(*.f64 z x)
(*.f64 1 (*.f64 x z))
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 z x)
(*.f64 (*.f64 x z) 1)
(*.f64 z x)
(*.f64 (cbrt.f64 (*.f64 x z)) (pow.f64 (cbrt.f64 (*.f64 x z)) 2))
(*.f64 z x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x z)) 2) (cbrt.f64 (*.f64 x z)))
(*.f64 z x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) z))
(*.f64 z x)
(*.f64 (sqrt.f64 (*.f64 x z)) (sqrt.f64 (*.f64 x z)))
(*.f64 z x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) z))
(*.f64 z x)
(*.f64 (sqrt.f64 z) (/.f64 x (pow.f64 z -1/2)))
(/.f64 (*.f64 x (sqrt.f64 z)) (pow.f64 z -1/2))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 z)))
(*.f64 z x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 1 z)))
(*.f64 z x)
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 1 z)))
(*.f64 z x)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 z -2))) (/.f64 x (/.f64 1 (cbrt.f64 z))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 z -2))) (*.f64 (/.f64 x 1) (cbrt.f64 z)))
(/.f64 (*.f64 x (cbrt.f64 z)) (cbrt.f64 (pow.f64 z -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 z -2))) (cbrt.f64 (*.f64 x z)))
(*.f64 (cbrt.f64 (*.f64 z x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 z -2))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 z -2)) (cbrt.f64 (*.f64 z x))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 z -2))) (/.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 z))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 z -2))) (*.f64 (/.f64 x 1) (cbrt.f64 z)))
(/.f64 (*.f64 x (cbrt.f64 z)) (cbrt.f64 (pow.f64 z -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 z -1/2)) (/.f64 (cbrt.f64 x) (pow.f64 z -1/2)))
(/.f64 (/.f64 x (pow.f64 z -1/2)) (pow.f64 z -1/2))
(*.f64 (/.f64 x -1) (neg.f64 z))
(*.f64 z x)
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z x)
(*.f64 (*.f64 x (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z x)
(pow.f64 (*.f64 x z) 1)
(*.f64 z x)
(pow.f64 (E.f64) (log.f64 (*.f64 x z)))
(*.f64 z x)
(pow.f64 (pow.f64 (*.f64 x z) 2) 1/2)
(*.f64 z x)
(pow.f64 (pow.f64 (*.f64 x z) 3) 1/3)
(*.f64 z x)
(pow.f64 (cbrt.f64 (*.f64 x z)) 3)
(*.f64 z x)
(pow.f64 (sqrt.f64 (*.f64 x z)) 2)
(*.f64 z x)
(pow.f64 (/.f64 (/.f64 1 z) x) -1)
(*.f64 z x)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 z -3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 z -3)))
(pow.f64 (/.f64 (/.f64 (/.f64 1 z) x) 1) -1)
(*.f64 z x)
(pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 z 3)) 1/3)
(*.f64 z x)
(pow.f64 (*.f64 (pow.f64 z 3) (pow.f64 x 3)) 1/3)
(*.f64 z x)
(pow.f64 (*.f64 (cbrt.f64 z) (cbrt.f64 x)) 3)
(*.f64 z x)
(pow.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 x)) 2)
(*.f64 z x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x z))) 2)) (cbrt.f64 (log.f64 (*.f64 x z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z x))) 2)) (cbrt.f64 (log.f64 (*.f64 z x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x z)))) (sqrt.f64 (log.f64 (*.f64 x z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z x)))) (sqrt.f64 (log.f64 (*.f64 z x))))
(neg.f64 (/.f64 x (/.f64 -1 z)))
(*.f64 z x)
(sqrt.f64 (pow.f64 (*.f64 x z) 2))
(*.f64 z x)
(log.f64 (pow.f64 (exp.f64 z) x))
(*.f64 z x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x z))))
(*.f64 z x)
(cbrt.f64 (pow.f64 (*.f64 x z) 3))
(*.f64 z x)
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 z -3)))
(expm1.f64 (log1p.f64 (*.f64 x z)))
(*.f64 z x)
(log1p.f64 (expm1.f64 (*.f64 x z)))
(*.f64 z x)
(exp.f64 (log.f64 (*.f64 x z)))
(*.f64 z x)
(exp.f64 (*.f64 (log.f64 (*.f64 x z)) 1))
(*.f64 z x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x z))) 1/3))
(*.f64 z x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x z))) 3))
(*.f64 z x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x z))) 2))
(*.f64 z x)
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x z))) -1))
(*.f64 z x)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x z)) 1) 1))
(*.f64 z x)
(exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log.f64 z))))
(*.f64 z x)
(exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 z) -1)))
(*.f64 z x)
(exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 z) -1)))
(*.f64 z x)
(exp.f64 (-.f64 (log.f64 x) (*.f64 (neg.f64 (log.f64 z)) 1)))
(*.f64 z x)
(exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 (neg.f64 (log.f64 z)) 1)))
(*.f64 z x)
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 z)))
(*.f64 z x)
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 z) 1)))
(*.f64 z x)
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 z) 1)))
(*.f64 z x)
(exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log.f64 x)))
(*.f64 z x)
(exp.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 x) 1)))
(*.f64 z x)
(exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (*.f64 (log.f64 x) 1)))
(*.f64 z x)

localize6.0ms (0.1%)

Compiler

Compiled 16 to 6 computations (62.5% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
7.2b
(/.f64 x (/.f64 y z))
Compiler

Compiled 20 to 6 computations (70% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 13 computations (35% saved)

series7.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 (-.f64 -4 x) y)
3.0ms
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
y
@inf
(/.f64 (-.f64 -4 x) y)

rewrite52.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

simplify44.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
631×fma-def_binary64
414×div-sub_binary64
410×log-prod_binary64
384×log-div_binary64
328×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
094680
1242415
2842415
34754415
Stop Event
1×node limit
Counts
57 → 45
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))
(+.f64 (/.f64 -4 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 -4 y) (/.f64 x y))
(-.f64 (+.f64 1 (/.f64 (-.f64 -4 x) y)) 1)
(*.f64 (-.f64 -4 x) (/.f64 1 y))
(*.f64 (/.f64 (-.f64 -4 x) y) 1)
(*.f64 1 (/.f64 (-.f64 -4 x) y))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 -4 x) y)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (*.f64 (cbrt.f64 (-.f64 -4 x)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -4 x) y)) (sqrt.f64 (/.f64 (-.f64 -4 x) y)))
(*.f64 (sqrt.f64 (-.f64 -4 x)) (*.f64 (sqrt.f64 (-.f64 -4 x)) (/.f64 1 y)))
(*.f64 (neg.f64 (-.f64 -4 x)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (-.f64 -4 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -4 x)) y))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -4 x)) 1) (/.f64 (sqrt.f64 (-.f64 -4 x)) y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 -4 x) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 -4 x) y)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -4 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 -4 x)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 -4 x) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 -4 x)) (sqrt.f64 y)))
(pow.f64 (/.f64 (-.f64 -4 x) y) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) 3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -4 x) y)) 2)
(pow.f64 (/.f64 y (-.f64 -4 x)) -1)
(neg.f64 (/.f64 (-.f64 -4 x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -4 x) y)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -4 x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -4 x) y)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -4 x) y)))
(exp.f64 (log.f64 (/.f64 (-.f64 -4 x) y)))
Outputs
(/.f64 -4 y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(neg.f64 (/.f64 x y))
(/.f64 x (neg.f64 y))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 x y))
(/.f64 (neg.f64 x) y)
(neg.f64 (/.f64 x y))
(/.f64 x (neg.f64 y))
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (*.f64 -1 (/.f64 x y)) (*.f64 4 (/.f64 1 y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 -1 (/.f64 (+.f64 4 x) y))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(+.f64 (/.f64 -4 y) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (/.f64 -4 y) (/.f64 x y))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(-.f64 (+.f64 1 (/.f64 (-.f64 -4 x) y)) 1)
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (-.f64 -4 x) (/.f64 1 y))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (/.f64 (-.f64 -4 x) y) 1)
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 1 (/.f64 (-.f64 -4 x) y))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) 2))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 -4 x) y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (*.f64 (cbrt.f64 (-.f64 -4 x)) (/.f64 1 y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (sqrt.f64 (/.f64 (-.f64 -4 x) y)) (sqrt.f64 (/.f64 (-.f64 -4 x) y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (sqrt.f64 (-.f64 -4 x)) (*.f64 (sqrt.f64 (-.f64 -4 x)) (/.f64 1 y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (neg.f64 (-.f64 -4 x)) (/.f64 1 (neg.f64 y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (/.f64 1 y) (-.f64 -4 x))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -4 x)) y))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (/.f64 (sqrt.f64 (-.f64 -4 x)) 1) (/.f64 (sqrt.f64 (-.f64 -4 x)) y))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 -4 x) (cbrt.f64 y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 -4 x) y)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (cbrt.f64 (/.f64 (-.f64 -4 x) y))) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (pow.f64 (cbrt.f64 y) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (/.f64 (-.f64 -4 x) y))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -4 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 -4 x)) (cbrt.f64 y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 -4 x) (sqrt.f64 y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -4 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 -4 x)) (sqrt.f64 y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(pow.f64 (/.f64 (-.f64 -4 x) y) 1)
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(pow.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3) 1/3)
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -4 x) y)) 3)
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -4 x) y)) 2)
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(pow.f64 (/.f64 y (-.f64 -4 x)) -1)
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(neg.f64 (/.f64 (-.f64 -4 x) (neg.f64 y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 2))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(log.f64 (exp.f64 (/.f64 (-.f64 -4 x) y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -4 x) y) 3))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -4 x) 3) (pow.f64 y 3)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -4 x) y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -4 x) y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)
(exp.f64 (log.f64 (/.f64 (-.f64 -4 x) y)))
(-.f64 (/.f64 (neg.f64 x) y) (/.f64 4 y))
(/.f64 (-.f64 -4 x) y)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 1 (/.f64 y x))
✓2.7b
(*.f64 z (/.f64 1 (/.f64 y x)))
Compiler

Compiled 30 to 14 computations (53.3% saved)

series6.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

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

rewrite51.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
839×pow1_binary64
775×add-log-exp_binary64
775×log1p-expm1-u_binary64
775×expm1-log1p-u_binary64
757×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0814
116711
2218611
Stop Event
1×node limit
Counts
2 → 61
Calls
Call 1
Inputs
(*.f64 z (/.f64 1 (/.f64 y x)))
(/.f64 1 (/.f64 y x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (/.f64 y x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 z) (/.f64 (/.f64 y x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 z) (/.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z 1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z y) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 z) (/.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z -1) (/.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 y x)) -1) (pow.f64 (sqrt.f64 (/.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x y)))))))

simplify54.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
570×times-frac_binary64
470×associate-*l/_binary64
454×unswap-sqr_binary64
443×associate-/l*_binary64
381×associate-*r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0155736
1381718
21353709
37756709
Stop Event
1×node limit
Counts
121 → 68
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 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(-.f64 (+.f64 1 (*.f64 z (/.f64 x y))) 1)
(/.f64 z (/.f64 y x))
(/.f64 1 (/.f64 (/.f64 y x) z))
(/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (/.f64 y x) (cbrt.f64 z)))
(/.f64 (sqrt.f64 z) (/.f64 (/.f64 y x) (sqrt.f64 z)))
(/.f64 (neg.f64 z) (/.f64 (neg.f64 y) x))
(/.f64 (/.f64 z (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(/.f64 (/.f64 z 1) (/.f64 y x))
(/.f64 (/.f64 z y) (/.f64 1 x))
(/.f64 (/.f64 z (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x)))
(/.f64 (*.f64 -1 z) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 z -1) (/.f64 (neg.f64 y) x))
(pow.f64 (*.f64 z (/.f64 x y)) 1)
(pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2)
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 y x) 3)))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 x y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 z (/.f64 x y))))
(-.f64 (+.f64 1 (/.f64 x y)) 1)
(*.f64 1 (/.f64 x y))
(*.f64 x (/.f64 1 y))
(*.f64 (/.f64 x y) 1)
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 y) x)))
(*.f64 (/.f64 1 y) x)
(*.f64 (/.f64 1 y) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 y x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y x)) -1) (pow.f64 (sqrt.f64 (/.f64 y x)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 1 (neg.f64 y)) (neg.f64 x))
(*.f64 (*.f64 (/.f64 1 y) 1) x)
(*.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (/.f64 1 y) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 y x) -1)
(pow.f64 (/.f64 x y) 1)
(pow.f64 (pow.f64 (/.f64 x y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x y)) 3)
(pow.f64 (sqrt.f64 (/.f64 x y)) 2)
(sqrt.f64 (pow.f64 (/.f64 y x) -2))
(log.f64 (exp.f64 (/.f64 x y)))
(cbrt.f64 (pow.f64 (/.f64 x y) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
Outputs
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 z (/.f64 x y))
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(-.f64 (+.f64 1 (*.f64 z (/.f64 x y))) 1)
(*.f64 z (/.f64 x y))
(/.f64 z (/.f64 y x))
(*.f64 z (/.f64 x y))
(/.f64 1 (/.f64 (/.f64 y x) z))
(*.f64 z (/.f64 x y))
(/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (/.f64 y x) (cbrt.f64 z)))
(*.f64 z (/.f64 x y))
(/.f64 (sqrt.f64 z) (/.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 z (/.f64 x y))
(/.f64 (neg.f64 z) (/.f64 (neg.f64 y) x))
(*.f64 z (/.f64 x y))
(/.f64 (/.f64 z (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)))
(*.f64 z (/.f64 x y))
(/.f64 (/.f64 z 1) (/.f64 y x))
(*.f64 z (/.f64 x y))
(/.f64 (/.f64 z y) (/.f64 1 x))
(*.f64 z (/.f64 x y))
(/.f64 (/.f64 z (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x)))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 -1 z) (/.f64 (neg.f64 y) x))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z -1) (/.f64 (neg.f64 y) x))
(*.f64 z (/.f64 x y))
(pow.f64 (*.f64 z (/.f64 x y)) 1)
(*.f64 z (/.f64 x y))
(pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3) 1/3)
(*.f64 z (/.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 3)
(*.f64 z (/.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2)
(*.f64 z (/.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 2))
(*.f64 z (/.f64 x y))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))
(*.f64 z (/.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3))
(*.f64 z (/.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 y x) 3)))
(*.f64 z (/.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 x y) 3)))
(*.f64 z (/.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 z 3)))
(*.f64 z (/.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 x y))))
(*.f64 z (/.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 x y))))
(*.f64 z (/.f64 x y))
(exp.f64 (log.f64 (*.f64 z (/.f64 x y))))
(*.f64 z (/.f64 x y))
(-.f64 (+.f64 1 (/.f64 x y)) 1)
(/.f64 x y)
(*.f64 1 (/.f64 x y))
(/.f64 x y)
(*.f64 x (/.f64 1 y))
(/.f64 x y)
(*.f64 (/.f64 x y) 1)
(/.f64 x y)
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))
(/.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)))
(/.f64 x y)
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(/.f64 x y)
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 y) x)))
(/.f64 x y)
(*.f64 (/.f64 1 y) x)
(/.f64 x y)
(*.f64 (/.f64 1 y) (pow.f64 (/.f64 1 x) -1))
(/.f64 x y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 y x)) -1))
(/.f64 x y)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y x)) -1) (pow.f64 (sqrt.f64 (/.f64 y x)) -1))
(/.f64 x y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) y))
(/.f64 x y)
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y))
(/.f64 x y)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)) 3)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)) 3)
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))
(/.f64 (/.f64 x (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)) 3)
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 x (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 x (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 x (*.f64 (sqrt.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 1 (neg.f64 y)) (neg.f64 x))
(/.f64 x y)
(*.f64 (*.f64 (/.f64 1 y) 1) x)
(/.f64 x y)
(*.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 x y)
(*.f64 (*.f64 (/.f64 1 y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 x y)
(pow.f64 (/.f64 y x) -1)
(/.f64 x y)
(pow.f64 (/.f64 x y) 1)
(/.f64 x y)
(pow.f64 (pow.f64 (/.f64 x y) 3) 1/3)
(/.f64 x y)
(pow.f64 (cbrt.f64 (/.f64 x y)) 3)
(/.f64 x y)
(pow.f64 (sqrt.f64 (/.f64 x y)) 2)
(/.f64 x y)
(sqrt.f64 (pow.f64 (/.f64 y x) -2))
(/.f64 x y)
(log.f64 (exp.f64 (/.f64 x y)))
(/.f64 x y)
(cbrt.f64 (pow.f64 (/.f64 x y) 3))
(/.f64 x y)
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))
(/.f64 x y)
(expm1.f64 (log1p.f64 (/.f64 x y)))
(/.f64 x y)
(log1p.f64 (expm1.f64 (/.f64 x y)))
(/.f64 x y)
(exp.f64 (log.f64 (/.f64 x y)))
(/.f64 x y)

eval121.0ms (1.9%)

Compiler

Compiled 6062 to 3559 computations (41.3% saved)

prune88.0ms (1.3%)

Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New3863389
Fresh055
Picked101
Done178
Total38815403
Error
0b
Counts
403 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
43.6b
(fabs.f64 (/.f64 (/.f64 z y) (/.f64 1 x)))
✓2.6b
(fabs.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
✓19.7b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
✓30.4b
(fabs.f64 (/.f64 (+.f64 z -1) (/.f64 y x)))
✓44.5b
(fabs.f64 (/.f64 (*.f64 z x) y))
✓48.0b
(fabs.f64 (/.f64 (neg.f64 x) y))
43.6b
(fabs.f64 (/.f64 z (/.f64 y x)))
✓43.5b
(fabs.f64 (/.f64 x (/.f64 y z)))
✓33.3b
(fabs.f64 (/.f64 4 y))
▶43.7b
(fabs.f64 (/.f64 1 (/.f64 (/.f64 y x) z)))
▶17.1b
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))))
30.3b
(fabs.f64 (*.f64 (/.f64 x y) (+.f64 z -1)))
▶43.6b
(fabs.f64 (*.f64 (/.f64 x y) z))
▶44.5b
(fabs.f64 (*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z))))
▶43.6b
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
Compiler

Compiled 242 to 174 computations (28.1% saved)

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
7.2b
(/.f64 x (/.f64 y z))
Compiler

Compiled 37 to 15 computations (59.5% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
2.7b
(*.f64 (/.f64 x y) z)
Compiler

Compiled 20 to 6 computations (70% saved)

localize98.0ms (1.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 z (/.f64 1 y))
✓7.2b
(*.f64 x (*.f64 z (/.f64 1 y)))
Compiler

Compiled 30 to 18 computations (40% saved)

series5.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

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

rewrite189.0ms (2.9%)

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

Useful iterations: 0 (0.0ms)

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

simplify45.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
652×log-prod_binary64
511×log-div_binary64
509×fma-def_binary64
337×unswap-sqr_binary64
302×times-frac_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100556
1227556
2872556
34465556
Stop Event
1×node limit
Counts
100 → 43
Calls
Call 1
Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(-.f64 (+.f64 1 (*.f64 x (/.f64 z y))) 1)
(/.f64 (*.f64 x z) y)
(/.f64 (*.f64 (*.f64 x z) 1) y)
(/.f64 (*.f64 (*.f64 x z) -1) (neg.f64 y))
(pow.f64 (*.f64 x (/.f64 z y)) 1)
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 z y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 z y))))
(-.f64 (+.f64 1 (/.f64 z y)) 1)
(/.f64 z y)
(/.f64 1 (/.f64 y z))
(/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 y (cbrt.f64 z)))
(/.f64 (sqrt.f64 z) (/.f64 y (sqrt.f64 z)))
(/.f64 (neg.f64 z) (neg.f64 y))
(/.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 z 1) y)
(/.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (*.f64 -1 z) (neg.f64 y))
(/.f64 (*.f64 z -1) (neg.f64 y))
(pow.f64 (/.f64 z y) 1)
(pow.f64 (pow.f64 (/.f64 z y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 z y)) 3)
(pow.f64 (sqrt.f64 (/.f64 z y)) 2)
(sqrt.f64 (pow.f64 (/.f64 z y) 2))
(log.f64 (exp.f64 (/.f64 z y)))
(cbrt.f64 (pow.f64 (/.f64 z y) 3))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 3)))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (pow.f64 y -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y -1) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (/.f64 z y)))
(log1p.f64 (expm1.f64 (/.f64 z y)))
(exp.f64 (log.f64 (/.f64 z y)))
Outputs
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 z x) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(-.f64 (+.f64 1 (*.f64 x (/.f64 z y))) 1)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 x z) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 (*.f64 x z) 1) y)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(/.f64 (*.f64 (*.f64 x z) -1) (neg.f64 y))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(pow.f64 (*.f64 x (/.f64 z y)) 1)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(pow.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3) 1/3)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 z y))) 3)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 z y))) 2)
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 2))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 z y)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 z y)) 3))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 z y) 3)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z y) 3) (pow.f64 x 3)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 z y))))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 z y))))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(exp.f64 (log.f64 (*.f64 x (/.f64 z y))))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(-.f64 (+.f64 1 (/.f64 z y)) 1)
(/.f64 z y)
(/.f64 z y)
(/.f64 1 (/.f64 y z))
(/.f64 z y)
(/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 y (cbrt.f64 z)))
(/.f64 z y)
(/.f64 (sqrt.f64 z) (/.f64 y (sqrt.f64 z)))
(/.f64 z y)
(/.f64 (neg.f64 z) (neg.f64 y))
(/.f64 z y)
(/.f64 (/.f64 z (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 z y)
(/.f64 (/.f64 z 1) y)
(/.f64 z y)
(/.f64 (/.f64 z (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 z y)
(/.f64 (*.f64 -1 z) (neg.f64 y))
(/.f64 z y)
(/.f64 (*.f64 z -1) (neg.f64 y))
(/.f64 z y)
(pow.f64 (/.f64 z y) 1)
(/.f64 z y)
(pow.f64 (pow.f64 (/.f64 z y) 3) 1/3)
(/.f64 z y)
(pow.f64 (cbrt.f64 (/.f64 z y)) 3)
(/.f64 z y)
(pow.f64 (sqrt.f64 (/.f64 z y)) 2)
(/.f64 z y)
(sqrt.f64 (pow.f64 (/.f64 z y) 2))
(/.f64 z y)
(log.f64 (exp.f64 (/.f64 z y)))
(/.f64 z y)
(cbrt.f64 (pow.f64 (/.f64 z y) 3))
(/.f64 z y)
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 y 3)))
(/.f64 z y)
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (pow.f64 y -1) 3)))
(/.f64 z y)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y -1) 3) (pow.f64 z 3)))
(/.f64 z y)
(expm1.f64 (log1p.f64 (/.f64 z y)))
(/.f64 z y)
(log1p.f64 (expm1.f64 (/.f64 z y)))
(/.f64 z y)
(exp.f64 (log.f64 (/.f64 z y)))
(/.f64 z y)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.6b
(/.f64 1 (/.f64 (/.f64 y x) z))
✓2.8b
(/.f64 (/.f64 y x) z)
Compiler

Compiled 30 to 11 computations (63.3% saved)

series6.0ms (0.1%)

Counts
2 → 72
Calls

18 calls:

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

rewrite54.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
946×pow1_binary64
878×add-log-exp_binary64
878×log1p-expm1-u_binary64
878×expm1-log1p-u_binary64
87×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
117214
2242514
Stop Event
1×node limit
Counts
2 → 83
Calls
Call 1
Inputs
(/.f64 (/.f64 y x) z)
(/.f64 1 (/.f64 (/.f64 y x) z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (/.f64 1 x) (pow.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) (pow.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) (cbrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) 2)) (cbrt.f64 (/.f64 y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (*.f64 x z))) (sqrt.f64 (/.f64 y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y x)) (*.f64 (sqrt.f64 (/.f64 y x)) (pow.f64 z -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 y x)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z -1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) z) (/.f64 (cbrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (/.f64 1 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 y x)) 1) (/.f64 (sqrt.f64 (/.f64 y x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (/.f64 y x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (/.f64 y x)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (/.f64 1 x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (/.f64 y x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 y x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (*.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (*.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 y x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (*.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 y x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (*.f64 x z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) -2)) (cbrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 y) (*.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (pow.f64 (pow.f64 z -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) 2)) -1) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 y (*.f64 x z))) -1) (pow.f64 (sqrt.f64 (/.f64 y (*.f64 x z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 (cbrt.f64 z) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 z (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (cbrt.f64 z) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 z (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 y x))) (/.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (/.f64 y x))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 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 y (*.f64 x z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 x y))))))))

simplify47.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
448×unswap-sqr_binary64
441×associate-/r/_binary64
310×*-commutative_binary64
301×associate-/l/_binary64
300×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02051192
15291192
219281189
Stop Event
1×node limit
Counts
155 → 97
Calls
Call 1
Inputs
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 y (*.f64 z x))
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 x z)))) 1)
(*.f64 y (/.f64 1 (*.f64 x z)))
(*.f64 y (*.f64 (/.f64 1 x) (pow.f64 z -1)))
(*.f64 (/.f64 y x) (pow.f64 z -1))
(*.f64 (/.f64 y (*.f64 x z)) 1)
(*.f64 1 (/.f64 y (*.f64 x z)))
(*.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) (cbrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) 2)) (cbrt.f64 (/.f64 y (*.f64 x z))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 z -1)))
(*.f64 (sqrt.f64 (/.f64 y (*.f64 x z))) (sqrt.f64 (/.f64 y (*.f64 x z))))
(*.f64 (sqrt.f64 (/.f64 y x)) (*.f64 (sqrt.f64 (/.f64 y x)) (pow.f64 z -1)))
(*.f64 (neg.f64 (/.f64 y x)) (/.f64 1 (neg.f64 z)))
(*.f64 (pow.f64 z -1) (/.f64 y x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) z) (/.f64 (cbrt.f64 y) x))
(*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 y 1) (/.f64 (/.f64 1 x) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 y x)) z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) 1) (/.f64 (sqrt.f64 (/.f64 y x)) z))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 z) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 z)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (/.f64 y x) (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 y (*.f64 x z))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (/.f64 y x)) (cbrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (/.f64 1 x) (sqrt.f64 z)))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (/.f64 y x) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 y x)) (sqrt.f64 z)))
(pow.f64 (/.f64 y (*.f64 x z)) 1)
(pow.f64 (pow.f64 (/.f64 y (*.f64 x z)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) 3)
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 x z))) 2)
(pow.f64 (*.f64 z (/.f64 x y)) -1)
(neg.f64 (/.f64 (/.f64 y x) (neg.f64 z)))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) 2))
(log.f64 (exp.f64 (/.f64 y (*.f64 x z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (*.f64 x z)))))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y x) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 x z))))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 x z))))
(exp.f64 (log.f64 (/.f64 y (*.f64 x z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 x y)))) 1)
(*.f64 z (/.f64 x y))
(*.f64 1 (*.f64 z (/.f64 x y)))
(*.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) (cbrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) -2)) (cbrt.f64 (*.f64 z (/.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) (sqrt.f64 (*.f64 z (/.f64 x y))))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 y) (*.f64 x z))))
(*.f64 (/.f64 x y) z)
(*.f64 (/.f64 x y) (pow.f64 (pow.f64 z -1) -1))
(*.f64 (*.f64 z (/.f64 x y)) 1)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) 2)) -1) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 x z))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 y (*.f64 x z))) -1) (pow.f64 (sqrt.f64 (/.f64 y (*.f64 x z))) -1))
(*.f64 (/.f64 1 y) (*.f64 x z))
(*.f64 (/.f64 1 y) (/.f64 z (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) y) (/.f64 (cbrt.f64 z) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 z) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (/.f64 y x)))
(*.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (/.f64 y x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 z (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (cbrt.f64 z) (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 y x))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y x))) (/.f64 z (sqrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 y x))))
(*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 y x))) (/.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 y x))))
(*.f64 (/.f64 z 1) (/.f64 x y))
(*.f64 (/.f64 1 (neg.f64 (/.f64 y x))) (neg.f64 z))
(*.f64 (/.f64 z y) x)
(*.f64 (/.f64 z (neg.f64 y)) (neg.f64 x))
(*.f64 (*.f64 (/.f64 x y) 1) z)
(*.f64 (*.f64 (/.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (/.f64 y (*.f64 x z)) -1)
(pow.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 x y))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 x y))) 2)
(pow.f64 (*.f64 z (/.f64 x y)) 1)
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) -2))
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 y x) 3)))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 z (/.f64 x y))))
Outputs
(/.f64 y (*.f64 z x))
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(/.f64 (/.f64 y x) z)
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(*.f64 z (/.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 x z)) -2))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) z))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 x y)))))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 x y)) 3))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 y x) 3)))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 x y))))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 x y))))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))
(exp.f64 (log.f64 (*.f64 z (/.f64 x y))))
(*.f64 x (/.f64 z y))
(*.f64 z (/.f64 x y))

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 x (/.f64 1 z))
5.2b
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z)))
Compiler

Compiled 37 to 24 computations (35.1% saved)

eval85.0ms (1.3%)

Compiler

Compiled 4901 to 2314 computations (52.8% saved)

prune85.0ms (1.3%)

Pruning

16 alts after pruning (4 fresh and 12 done)

PrunedKeptTotal
New4012403
Fresh123
Picked011
Done01111
Total40216418
Error
0b
Counts
418 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
43.6b
(fabs.f64 (/.f64 (/.f64 x y) (/.f64 1 z)))
✓2.6b
(fabs.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
✓19.7b
(fabs.f64 (/.f64 (-.f64 -4 x) y))
✓30.4b
(fabs.f64 (/.f64 (+.f64 z -1) (/.f64 y x)))
✓44.5b
(fabs.f64 (/.f64 (*.f64 z x) y))
43.5b
(fabs.f64 (/.f64 (neg.f64 x) (*.f64 y (/.f64 -1 z))))
✓48.0b
(fabs.f64 (/.f64 (neg.f64 x) y))
43.6b
(fabs.f64 (/.f64 z (/.f64 y x)))
✓43.5b
(fabs.f64 (/.f64 x (/.f64 y z)))
✓33.3b
(fabs.f64 (/.f64 4 y))
✓43.7b
(fabs.f64 (/.f64 1 (/.f64 (/.f64 y x) z)))
✓17.1b
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))))
30.3b
(fabs.f64 (*.f64 (/.f64 x y) (+.f64 z -1)))
✓43.6b
(fabs.f64 (*.f64 (/.f64 x y) z))
✓44.5b
(fabs.f64 (*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z))))
✓43.6b
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
Compiler

Compiled 166 to 120 computations (27.7% saved)

regimes196.0ms (3%)

Counts
29 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 z (/.f64 (neg.f64 x) y)))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
(fabs.f64 (*.f64 z (/.f64 1 (/.f64 y x))))
(fabs.f64 (*.f64 (/.f64 x y) (+.f64 z -1)))
(fabs.f64 (/.f64 1 (/.f64 (/.f64 y x) z)))
(fabs.f64 (/.f64 (+.f64 z -1) (/.f64 y x)))
(fabs.f64 (/.f64 (/.f64 x y) (/.f64 1 z)))
(fabs.f64 (/.f64 (/.f64 z y) (/.f64 1 x)))
(fabs.f64 (/.f64 (neg.f64 x) (*.f64 y (/.f64 -1 z))))
(fabs.f64 (*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z))))
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))))
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))
(fabs.f64 (+.f64 (*.f64 (/.f64 -1 y) (*.f64 x z)) (*.f64 (/.f64 -1 y) (-.f64 -4 x))))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z)))))
(fabs.f64 (/.f64 (fma.f64 x z (-.f64 -4 x)) y))
(fabs.f64 (*.f64 (/.f64 -1 y) (fma.f64 x z (-.f64 -4 x))))
(fabs.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y) 3)))
Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))
Calls

5 calls:

42.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
41.0ms
x
41.0ms
z
31.0ms
y
29.0ms
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
Results
ErrorSegmentsBranch
0.0b3x
0.5b2y
0.5b2z
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 299 to 166 computations (44.5% saved)

bsearch21.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
12.0ms
7.206974855427871e-108
3.6934813264192407e-103
8.0ms
-576.5774319095129
-194.904487718874
Results
18.0ms144×body256valid
0.0ms4×body256infinite
Compiler

Compiled 291 to 204 computations (29.9% saved)

regimes141.0ms (2.2%)

Counts
23 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 z (/.f64 (neg.f64 x) y)))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
(fabs.f64 (*.f64 z (/.f64 1 (/.f64 y x))))
(fabs.f64 (*.f64 (/.f64 x y) (+.f64 z -1)))
(fabs.f64 (/.f64 1 (/.f64 (/.f64 y x) z)))
(fabs.f64 (/.f64 (+.f64 z -1) (/.f64 y x)))
(fabs.f64 (/.f64 (/.f64 x y) (/.f64 1 z)))
(fabs.f64 (/.f64 (/.f64 z y) (/.f64 1 x)))
(fabs.f64 (/.f64 (neg.f64 x) (*.f64 y (/.f64 -1 z))))
(fabs.f64 (*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z))))
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))))
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(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 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
Calls

5 calls:

37.0ms
x
34.0ms
z
27.0ms
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
22.0ms
y
16.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
Results
ErrorSegmentsBranch
0.1b3x
0.5b2y
0.5b2z
0.1b2(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)))
1.7b1(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
Compiler

Compiled 223 to 119 computations (46.6% saved)

bsearch18.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
7.0ms
4.166236334261373e+79
5.257238490081719e+79
10.0ms
-576.5774319095129
-194.904487718874
Results
14.0ms128×body256valid
1.0ms10×body256infinite
Compiler

Compiled 255 to 174 computations (31.8% saved)

regimes59.0ms (0.9%)

Counts
22 → 2
Calls
Call 1
Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 z (/.f64 (neg.f64 x) y)))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
(fabs.f64 (*.f64 z (/.f64 1 (/.f64 y x))))
(fabs.f64 (*.f64 (/.f64 x y) (+.f64 z -1)))
(fabs.f64 (/.f64 1 (/.f64 (/.f64 y x) z)))
(fabs.f64 (/.f64 (+.f64 z -1) (/.f64 y x)))
(fabs.f64 (/.f64 (/.f64 x y) (/.f64 1 z)))
(fabs.f64 (/.f64 (/.f64 z y) (/.f64 1 x)))
(fabs.f64 (/.f64 (neg.f64 x) (*.f64 y (/.f64 -1 z))))
(fabs.f64 (*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z))))
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))))
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
Outputs
(fabs.f64 (*.f64 (/.f64 x y) (+.f64 z -1)))
(fabs.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y))
Calls

3 calls:

22.0ms
x
20.0ms
z
11.0ms
y
Results
ErrorSegmentsBranch
0.8b2x
2.6b1y
1.0b2z
Compiler

Compiled 182 to 95 computations (47.8% saved)

bsearch18.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
18.0ms
-89560802341658.4
-16005958159.338623
Results
15.0ms128×body256valid
1.0ms10×body256infinite
Compiler

Compiled 229 to 167 computations (27.1% saved)

regimes114.0ms (1.8%)

Counts
21 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 z (/.f64 (neg.f64 x) y)))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
(fabs.f64 (*.f64 z (/.f64 1 (/.f64 y x))))
(fabs.f64 (*.f64 (/.f64 x y) (+.f64 z -1)))
(fabs.f64 (/.f64 1 (/.f64 (/.f64 y x) z)))
(fabs.f64 (/.f64 (+.f64 z -1) (/.f64 y x)))
(fabs.f64 (/.f64 (/.f64 x y) (/.f64 1 z)))
(fabs.f64 (/.f64 (/.f64 z y) (/.f64 1 x)))
(fabs.f64 (/.f64 (neg.f64 x) (*.f64 y (/.f64 -1 z))))
(fabs.f64 (*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z))))
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (-.f64 (/.f64 4 y) (/.f64 x (/.f64 y z))))
(fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))
Outputs
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))
Calls

3 calls:

48.0ms
y
31.0ms
z
30.0ms
x
Results
ErrorSegmentsBranch
2.7b3x
11.6b5y
2.2b3z
Compiler

Compiled 172 to 90 computations (47.7% saved)

bsearch32.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
8.867160784728478e-10
791010966.2288408
11.0ms
-2.7267211141327047e+21
-6.820070747173335e+20
Results
28.0ms240×body256valid
1.0ms5×body256infinite
Compiler

Compiled 381 to 285 computations (25.2% saved)

regimes129.0ms (2%)

Counts
18 → 5
Calls
Call 1
Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 z (/.f64 (neg.f64 x) y)))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
(fabs.f64 (*.f64 z (/.f64 1 (/.f64 y x))))
(fabs.f64 (*.f64 (/.f64 x y) (+.f64 z -1)))
(fabs.f64 (/.f64 1 (/.f64 (/.f64 y x) z)))
(fabs.f64 (/.f64 (+.f64 z -1) (/.f64 y x)))
(fabs.f64 (/.f64 (/.f64 x y) (/.f64 1 z)))
(fabs.f64 (/.f64 (/.f64 z y) (/.f64 1 x)))
(fabs.f64 (/.f64 (neg.f64 x) (*.f64 y (/.f64 -1 z))))
(fabs.f64 (*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 z))))
Outputs
(fabs.f64 (*.f64 (/.f64 x y) (+.f64 z -1)))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (*.f64 (/.f64 x y) (+.f64 z -1)))
Calls

3 calls:

50.0ms
z
42.0ms
x
33.0ms
y
Results
ErrorSegmentsBranch
7.5b5x
16.8b3y
7.6b5z
Compiler

Compiled 142 to 80 computations (43.7% saved)

bsearch57.0ms (0.9%)

Algorithm
4×binary-search
Steps
TimeLeftRight
17.0ms
2.1876566443241015e-21
1.5178014693830807e-17
15.0ms
6.654876101860119e-46
5.161144628778447e-44
13.0ms
3.7817444260391855e-61
1.6889868637273767e-59
11.0ms
-576.5774319095129
-194.904487718874
Results
49.0ms432×body256valid
2.0ms18×body256infinite
Compiler

Compiled 585 to 459 computations (21.5% saved)

regimes93.0ms (1.4%)

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

3 calls:

31.0ms
x
30.0ms
z
29.0ms
y
Results
ErrorSegmentsBranch
15.8b5x
17.2b4y
7.6b5z
Compiler

Compiled 83 to 48 computations (42.2% saved)

bsearch68.0ms (1.1%)

Algorithm
4×binary-search
Steps
TimeLeftRight
20.0ms
1.0878081921771034e+46
3.796567216279672e+51
10.0ms
-2.7267211141327047e+21
-6.820070747173335e+20
15.0ms
-1.3816182834057908e+64
-1.8712085296617611e+62
23.0ms
-1.5034100477220107e+151
-1.450390864238312e+139
Results
58.0ms496×body256valid
4.0ms39×body256infinite
Compiler

Compiled 665 to 504 computations (24.2% saved)

regimes121.0ms (1.9%)

Counts
10 → 5
Calls
Call 1
Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 (*.f64 z x) y))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 z (/.f64 (neg.f64 x) y)))
(fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y))))
Outputs
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (/.f64 (-.f64 -4 x) y))
(fabs.f64 (/.f64 (*.f64 z x) y))
Calls

3 calls:

59.0ms
x
33.0ms
z
26.0ms
y
Results
ErrorSegmentsBranch
15.8b5x
17.2b4y
7.6b5z
Compiler

Compiled 75 to 44 computations (41.3% saved)

bsearch102.0ms (1.6%)

Algorithm
4×binary-search
Steps
TimeLeftRight
17.0ms
1.0878081921771034e+46
3.796567216279672e+51
28.0ms
-2.7267211141327047e+21
-6.820070747173335e+20
13.0ms
-1.3816182834057908e+64
-1.8712085296617611e+62
44.0ms
-1.5034100477220107e+151
-1.450390864238312e+139
Results
92.0ms496×body256valid
3.0ms30×body256infinite
Compiler

Compiled 641 to 480 computations (25.1% saved)

regimes102.0ms (1.6%)

Counts
7 → 5
Calls
Call 1
Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 x (/.f64 y z)))
(fabs.f64 (/.f64 z (/.f64 y x)))
(fabs.f64 (/.f64 (*.f64 z x) y))
Outputs
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (*.f64 (/.f64 x y) z))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (*.f64 (/.f64 z y) x))
(fabs.f64 (/.f64 (neg.f64 x) y))
Calls

3 calls:

51.0ms
z
37.0ms
x
13.0ms
y
Results
ErrorSegmentsBranch
16.5b5x
28.7b3y
18.0b9z
Compiler

Compiled 54 to 33 computations (38.9% saved)

bsearch106.0ms (1.6%)

Algorithm
4×binary-search
Steps
TimeLeftRight
17.0ms
20703.744129496485
193555233184.629
13.0ms
3.7817444260391855e-61
1.6889868637273767e-59
20.0ms
-4.286001123858849e-40
-2.5583729614185178e-51
54.0ms
-1.1853817789437762e+196
-9.954811940160835e+187
Results
88.0ms560×body256valid
11.0ms103×body256infinite
Compiler

Compiled 669 to 505 computations (24.5% saved)

regimes68.0ms (1.1%)

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

3 calls:

42.0ms
z
13.0ms
x
12.0ms
y
Results
ErrorSegmentsBranch
17.6b4x
30.2b3y
18.6b9z
Compiler

Compiled 30 to 21 computations (30% saved)

bsearch65.0ms (1%)

Algorithm
3×binary-search
Steps
TimeLeftRight
18.0ms
2.0397219311006765e-5
20703.744129496485
21.0ms
-4.286001123858849e-40
-2.5583729614185178e-51
25.0ms
-1.1853817789437762e+196
-9.954811940160835e+187
Results
47.0ms448×body256valid
10.0ms95×body256infinite
Compiler

Compiled 525 to 407 computations (22.5% saved)

regimes46.0ms (0.7%)

Accuracy

Total -40.0b remaining (-193.4%)

Threshold costs -40.0b (-193.4%)

Counts
2 → 3
Calls
Call 1
Inputs
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
Outputs
(fabs.f64 (/.f64 (neg.f64 x) y))
(fabs.f64 (/.f64 4 y))
(fabs.f64 (/.f64 (neg.f64 x) y))
Calls

3 calls:

23.0ms
z
12.0ms
y
9.0ms
x
Results
ErrorSegmentsBranch
20.7b3x
30.9b5y
30.3b5z
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch39.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
2.0397219311006765e-5
20703.744129496485
16.0ms
-194.904487718874
-0.3605828840056077
Results
33.0ms272×body256valid
2.0ms22×body256infinite
Compiler

Compiled 310 to 253 computations (18.4% saved)

simplify24.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
25×+-commutative_binary64
25×sub-neg_binary64
22×fabs-mul_binary64
18×*-commutative_binary64
10×fabs-sub_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0131576
1190564
2249564
3290564
4315564
5324564
6326564
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -300) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) (if (<=.f64 x 6455624695217271/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (fabs.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))))
(if (<=.f64 x -280) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) (if (<=.f64 x 42000000000000001590860518205872056614479423751160824604641861538702367559516160) (fabs.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)) (fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -88000000000000) (fabs.f64 (*.f64 (/.f64 x y) (+.f64 z -1))) (fabs.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)))
(if (<=.f64 z -700000000000000000000) (fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z))) (if (<=.f64 z 3512807709348987/9007199254740992) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -550) (fabs.f64 (*.f64 (/.f64 x y) (+.f64 z -1))) (if (<=.f64 x 7463162001623895/452312848583266388373324160190187140051835877600158453279131187530910662656) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (if (<=.f64 x 5142201741628769/6427752177035961102167848369364650410088811975131171341205504) (fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y)))) (if (<=.f64 x 5815372481559007/41538374868278621028243970633760768) (fabs.f64 (/.f64 4 y)) (fabs.f64 (*.f64 (/.f64 x y) (+.f64 z -1)))))))
(if (<=.f64 z -699999999999999978037287864706543526560667850223297478527100956809999993473033518221207116870237672765898343448386335268851525742359679598592) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 z -299999999999999999088617516181804470671953197798974385752637440) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (if (<=.f64 z -1200000000000000000000) (fabs.f64 (*.f64 z (/.f64 1 (/.f64 y x)))) (if (<=.f64 z 105000000000000000547331599002666637447124746240) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (/.f64 (*.f64 z x) y))))))
(if (<=.f64 z -749999999999999974486110298350596837143771818635828774410769438755544085117771982322675286699162110597409381473199179285107388605486751352356864) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 z -359999999999999998906341019418165364806343837358769262903164928) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (if (<=.f64 z -2600000000000000000000) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 z 2999999999999999979662846023084883929385125325832192) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (/.f64 (*.f64 z x) y))))))
(if (<=.f64 x -129999999999999993727211814109303274092034430993951279488547803864685487880964896068903092097888580057536670310359427535645216239102438330217695076661809350359583269767068837465911711498240) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x -1777694827404431/6129982163463555433433388108601236734474956488734408704) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x 7463162001623895/452312848583266388373324160190187140051835877600158453279131187530910662656) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 1100000) (fabs.f64 (*.f64 (/.f64 z y) x)) (fabs.f64 (/.f64 (neg.f64 x) y))))))
(if (<=.f64 x -1649999999999999981629166098688691166495329431463143020598679825581182934353603210600726172907058333631425183253134726679614760955852999096212162559012244527275232990541070431045971079830442082304) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x -5149185017309387/12259964326927110866866776217202473468949912977468817408) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x 4) (fabs.f64 (/.f64 4 y)) (fabs.f64 (/.f64 (neg.f64 x) y)))))
(if (<=.f64 x -2871044762448691/281474976710656) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x 4) (fabs.f64 (/.f64 4 y)) (fabs.f64 (/.f64 (neg.f64 x) y))))
(fabs.f64 (/.f64 4 y))
Outputs
(if (<=.f64 x -300) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) (if (<=.f64 x 6455624695217271/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (fabs.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))))
(if (<=.f64 x -300) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) (if (<=.f64 x 6455624695217271/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (fabs.f64 (/.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))))
(if (<=.f64 x -300) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) (if (<=.f64 x 6455624695217271/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (fabs.f64 (/.f64 (+.f64 (*.f64 x z) (-.f64 -4 x)) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 x (/.f64 y z))))))
(if (<=.f64 x -300) (fabs.f64 (-.f64 (/.f64 (-.f64 x -4) y) (*.f64 (/.f64 x y) z))) (if (<=.f64 x 6455624695217271/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (fabs.f64 (/.f64 (+.f64 (*.f64 x z) (-.f64 -4 x)) y)) (fabs.f64 (-.f64 (/.f64 (-.f64 x -4) y) (/.f64 x (/.f64 y z))))))
(if (<=.f64 x -280) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) (if (<=.f64 x 42000000000000001590860518205872056614479423751160824604641861538702367559516160) (fabs.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)) (fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -280) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) (if (<=.f64 x 42000000000000001590860518205872056614479423751160824604641861538702367559516160) (fabs.f64 (/.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) y)) (fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -280) (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) (if (<=.f64 x 42000000000000001590860518205872056614479423751160824604641861538702367559516160) (fabs.f64 (/.f64 (+.f64 (*.f64 x z) (-.f64 -4 x)) y)) (fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -280) (fabs.f64 (-.f64 (/.f64 (-.f64 x -4) y) (*.f64 (/.f64 x y) z))) (if (<=.f64 x 42000000000000001590860518205872056614479423751160824604641861538702367559516160) (fabs.f64 (/.f64 (+.f64 (*.f64 x z) (-.f64 -4 x)) y)) (fabs.f64 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -88000000000000) (fabs.f64 (*.f64 (/.f64 x y) (+.f64 z -1))) (fabs.f64 (/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y)))
(if (<=.f64 x -88000000000000) (fabs.f64 (*.f64 (/.f64 x y) (+.f64 z -1))) (fabs.f64 (/.f64 (-.f64 (*.f64 x z) (+.f64 x 4)) y)))
(if (<=.f64 x -88000000000000) (fabs.f64 (*.f64 (/.f64 x y) (+.f64 z -1))) (fabs.f64 (/.f64 (+.f64 (*.f64 x z) (-.f64 -4 x)) y)))
(if (<=.f64 z -700000000000000000000) (fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z))) (if (<=.f64 z 3512807709348987/9007199254740992) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 z -700000000000000000000) (fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z))) (if (<=.f64 z 3512807709348987/9007199254740992) (fabs.f64 (/.f64 (-.f64 x -4) y)) (fabs.f64 (-.f64 (/.f64 4 y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 x -550) (fabs.f64 (*.f64 (/.f64 x y) (+.f64 z -1))) (if (<=.f64 x 7463162001623895/452312848583266388373324160190187140051835877600158453279131187530910662656) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (if (<=.f64 x 5142201741628769/6427752177035961102167848369364650410088811975131171341205504) (fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y)))) (if (<=.f64 x 5815372481559007/41538374868278621028243970633760768) (fabs.f64 (/.f64 4 y)) (fabs.f64 (*.f64 (/.f64 x y) (+.f64 z -1)))))))
(if (<=.f64 x -550) (fabs.f64 (*.f64 (/.f64 x y) (+.f64 z -1))) (if (<=.f64 x 7463162001623895/452312848583266388373324160190187140051835877600158453279131187530910662656) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (if (<=.f64 x 5142201741628769/6427752177035961102167848369364650410088811975131171341205504) (fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y)))) (if (<=.f64 x 5815372481559007/41538374868278621028243970633760768) (/.f64 4 (fabs.f64 y)) (fabs.f64 (*.f64 (/.f64 x y) (+.f64 z -1)))))))
(if (<=.f64 x -550) (fabs.f64 (*.f64 (/.f64 x y) (+.f64 z -1))) (if (<=.f64 x 7463162001623895/452312848583266388373324160190187140051835877600158453279131187530910662656) (fabs.f64 (/.f64 (-.f64 x -4) y)) (if (<=.f64 x 5142201741628769/6427752177035961102167848369364650410088811975131171341205504) (fabs.f64 (*.f64 x (*.f64 z (/.f64 1 y)))) (if (<=.f64 x 5815372481559007/41538374868278621028243970633760768) (/.f64 4 (fabs.f64 y)) (fabs.f64 (*.f64 (/.f64 x y) (+.f64 z -1)))))))
(if (<=.f64 z -699999999999999978037287864706543526560667850223297478527100956809999993473033518221207116870237672765898343448386335268851525742359679598592) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 z -299999999999999999088617516181804470671953197798974385752637440) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (if (<=.f64 z -1200000000000000000000) (fabs.f64 (*.f64 z (/.f64 1 (/.f64 y x)))) (if (<=.f64 z 105000000000000000547331599002666637447124746240) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (/.f64 (*.f64 z x) y))))))
(if (<=.f64 z -699999999999999978037287864706543526560667850223297478527100956809999993473033518221207116870237672765898343448386335268851525742359679598592) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 z -299999999999999999088617516181804470671953197798974385752637440) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (if (<=.f64 z -1200000000000000000000) (fabs.f64 (*.f64 z (/.f64 1 (/.f64 y x)))) (if (<=.f64 z 105000000000000000547331599002666637447124746240) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (/.f64 (*.f64 x z) y))))))
(if (<=.f64 z -699999999999999978037287864706543526560667850223297478527100956809999993473033518221207116870237672765898343448386335268851525742359679598592) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 z -299999999999999999088617516181804470671953197798974385752637440) (fabs.f64 (/.f64 (-.f64 x -4) y)) (if (<=.f64 z -1200000000000000000000) (fabs.f64 (*.f64 z (/.f64 1 (/.f64 y x)))) (if (<=.f64 z 105000000000000000547331599002666637447124746240) (fabs.f64 (/.f64 (-.f64 x -4) y)) (fabs.f64 (/.f64 (*.f64 x z) y))))))
(if (<=.f64 z -749999999999999974486110298350596837143771818635828774410769438755544085117771982322675286699162110597409381473199179285107388605486751352356864) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 z -359999999999999998906341019418165364806343837358769262903164928) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (if (<=.f64 z -2600000000000000000000) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 z 2999999999999999979662846023084883929385125325832192) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (/.f64 (*.f64 z x) y))))))
(if (<=.f64 z -749999999999999974486110298350596837143771818635828774410769438755544085117771982322675286699162110597409381473199179285107388605486751352356864) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 z -359999999999999998906341019418165364806343837358769262903164928) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (if (<=.f64 z -2600000000000000000000) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 z 2999999999999999979662846023084883929385125325832192) (fabs.f64 (/.f64 (-.f64 -4 x) y)) (fabs.f64 (/.f64 (*.f64 x z) y))))))
(if (<=.f64 z -749999999999999974486110298350596837143771818635828774410769438755544085117771982322675286699162110597409381473199179285107388605486751352356864) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 z -359999999999999998906341019418165364806343837358769262903164928) (fabs.f64 (/.f64 (-.f64 x -4) y)) (if (<=.f64 z -2600000000000000000000) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 z 2999999999999999979662846023084883929385125325832192) (fabs.f64 (/.f64 (-.f64 x -4) y)) (fabs.f64 (/.f64 (*.f64 x z) y))))))
(if (<=.f64 x -129999999999999993727211814109303274092034430993951279488547803864685487880964896068903092097888580057536670310359427535645216239102438330217695076661809350359583269767068837465911711498240) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x -1777694827404431/6129982163463555433433388108601236734474956488734408704) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x 7463162001623895/452312848583266388373324160190187140051835877600158453279131187530910662656) (fabs.f64 (/.f64 4 y)) (if (<=.f64 x 1100000) (fabs.f64 (*.f64 (/.f64 z y) x)) (fabs.f64 (/.f64 (neg.f64 x) y))))))
(if (<=.f64 x -129999999999999993727211814109303274092034430993951279488547803864685487880964896068903092097888580057536670310359427535645216239102438330217695076661809350359583269767068837465911711498240) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x -1777694827404431/6129982163463555433433388108601236734474956488734408704) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x 7463162001623895/452312848583266388373324160190187140051835877600158453279131187530910662656) (/.f64 4 (fabs.f64 y)) (if (<=.f64 x 1100000) (fabs.f64 (*.f64 x (/.f64 z y))) (fabs.f64 (/.f64 (neg.f64 x) y))))))
(if (<=.f64 x -129999999999999993727211814109303274092034430993951279488547803864685487880964896068903092097888580057536670310359427535645216239102438330217695076661809350359583269767068837465911711498240) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -1777694827404431/6129982163463555433433388108601236734474956488734408704) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x 7463162001623895/452312848583266388373324160190187140051835877600158453279131187530910662656) (/.f64 4 (fabs.f64 y)) (if (<=.f64 x 1100000) (fabs.f64 (*.f64 x (/.f64 z y))) (fabs.f64 (/.f64 x y))))))
(if (<=.f64 x -1649999999999999981629166098688691166495329431463143020598679825581182934353603210600726172907058333631425183253134726679614760955852999096212162559012244527275232990541070431045971079830442082304) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x -5149185017309387/12259964326927110866866776217202473468949912977468817408) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x 4) (fabs.f64 (/.f64 4 y)) (fabs.f64 (/.f64 (neg.f64 x) y)))))
(if (<=.f64 x -1649999999999999981629166098688691166495329431463143020598679825581182934353603210600726172907058333631425183253134726679614760955852999096212162559012244527275232990541070431045971079830442082304) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x -5149185017309387/12259964326927110866866776217202473468949912977468817408) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x 4) (/.f64 4 (fabs.f64 y)) (fabs.f64 (/.f64 (neg.f64 x) y)))))
(if (<=.f64 x -1649999999999999981629166098688691166495329431463143020598679825581182934353603210600726172907058333631425183253134726679614760955852999096212162559012244527275232990541070431045971079830442082304) (fabs.f64 (/.f64 x y)) (if (<=.f64 x -5149185017309387/12259964326927110866866776217202473468949912977468817408) (fabs.f64 (*.f64 (/.f64 x y) z)) (if (<=.f64 x 4) (/.f64 4 (fabs.f64 y)) (fabs.f64 (/.f64 x y)))))
(if (<=.f64 x -2871044762448691/281474976710656) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x 4) (fabs.f64 (/.f64 4 y)) (fabs.f64 (/.f64 (neg.f64 x) y))))
(if (<=.f64 x -2871044762448691/281474976710656) (fabs.f64 (/.f64 (neg.f64 x) y)) (if (<=.f64 x 4) (/.f64 4 (fabs.f64 y)) (fabs.f64 (/.f64 (neg.f64 x) y))))
(if (<=.f64 x -2871044762448691/281474976710656) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 4) (/.f64 4 (fabs.f64 y)) (fabs.f64 (/.f64 x y))))
(fabs.f64 (/.f64 4 y))
(/.f64 4 (fabs.f64 y))
Compiler

Compiled 409 to 256 computations (37.4% saved)

soundness220.0ms (3.4%)

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
Compiler

Compiled 231 to 162 computations (29.9% saved)

end183.0ms (2.8%)

Compiler

Compiled 379 to 196 computations (48.3% saved)

Profiling

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