Details

Time bar (total: 11.1s)

analyze442.0ms (4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%87.3%12.7%4
0%87.3%12.7%5
0%81.1%18.9%6
0%31.2%68.8%7
0%31.2%68.8%8
0%31.2%68.8%9
0%28.1%71.9%10
2.3%24.2%73.5%11
3.5%23%73.5%12
Compiler

Compiled 18 to 13 computations (27.8% saved)

sample3.2s (28.7%)

Results
1.8s6671×body256valid
641.0ms638×body1024valid
512.0ms926×body512valid
139.0ms525×body256invalid
66.0ms21×body2048valid

preprocess290.0ms (2.6%)

Algorithm
2×egg-herbie
Rules
819×distribute-rgt-in_binary64
723×sub-neg_binary64
600×associate--r+_binary64
535×fma-neg_binary64
519×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044126
1101119
2216119
3386119
4666119
51102119
62189119
73695119
84449119
94708119
105076119
115755119
126617119
136617119
146617119
156617119
166935119
176963119
186971119
197202119
044
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
3
Outputs
0
1
2
3
Call 2
Inputs
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 y (log.f64 x)) (*.f64 z (log.f64 (-.f64 1 x)))) t)
(-.f64 (+.f64 (*.f64 z (log.f64 y)) (*.f64 x (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 t (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) x)
(-.f64 (+.f64 (*.f64 x (log.f64 z)) (*.f64 y (log.f64 (-.f64 1 z)))) t)
(-.f64 (+.f64 (*.f64 x (log.f64 t)) (*.f64 z (log.f64 (-.f64 1 t)))) y)
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 t (log.f64 (-.f64 1 y)))) z)
Outputs
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 x (log.f64 y) (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(-.f64 (+.f64 (*.f64 y (log.f64 x)) (*.f64 z (log.f64 (-.f64 1 x)))) t)
(-.f64 (fma.f64 y (log.f64 x) (*.f64 z (log.f64 (-.f64 1 x)))) t)
(-.f64 (fma.f64 y (log.f64 x) (*.f64 z (log1p.f64 (neg.f64 x)))) t)
(fma.f64 y (log.f64 x) (fma.f64 z (log1p.f64 (neg.f64 x)) (neg.f64 t)))
(fma.f64 z (log1p.f64 (neg.f64 x)) (-.f64 (*.f64 y (log.f64 x)) t))
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 x)) (*.f64 y (log.f64 x))) t)
(-.f64 (+.f64 (*.f64 z (log.f64 y)) (*.f64 x (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 z (log.f64 y) (*.f64 x (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) z)) t)
(fma.f64 (log.f64 y) z (fma.f64 x (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(-.f64 (+.f64 (*.f64 t (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) x)
(-.f64 (fma.f64 t (log.f64 y) (*.f64 z (log.f64 (-.f64 1 y)))) x)
(-.f64 (fma.f64 (log.f64 y) t (*.f64 z (log1p.f64 (neg.f64 y)))) x)
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 (log.f64 y) t) x))
(-.f64 (+.f64 (*.f64 x (log.f64 z)) (*.f64 y (log.f64 (-.f64 1 z)))) t)
(-.f64 (fma.f64 x (log.f64 z) (*.f64 y (log.f64 (-.f64 1 z)))) t)
(-.f64 (fma.f64 x (log.f64 z) (*.f64 y (log1p.f64 (neg.f64 z)))) t)
(-.f64 (fma.f64 y (log1p.f64 (neg.f64 z)) (*.f64 x (log.f64 z))) t)
(fma.f64 x (log.f64 z) (fma.f64 y (log1p.f64 (neg.f64 z)) (neg.f64 t)))
(-.f64 (+.f64 (*.f64 x (log.f64 t)) (*.f64 z (log.f64 (-.f64 1 t)))) y)
(-.f64 (fma.f64 x (log.f64 t) (*.f64 z (log.f64 (-.f64 1 t)))) y)
(-.f64 (fma.f64 x (log.f64 t) (*.f64 z (log1p.f64 (neg.f64 t)))) y)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 t)) (*.f64 x (log.f64 t))) y)
(fma.f64 z (log1p.f64 (neg.f64 t)) (fma.f64 x (log.f64 t) (neg.f64 y)))
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 t (log.f64 (-.f64 1 y)))) z)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 (log.f64 (-.f64 1 y)) t)) z)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 (log1p.f64 (neg.f64 y)) t)) z)
(fma.f64 x (log.f64 y) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) t) z))
(fma.f64 x (log.f64 y) (fma.f64 (log1p.f64 (neg.f64 y)) t (neg.f64 z)))
(fma.f64 (log1p.f64 (neg.f64 y)) t (fma.f64 x (log.f64 y) (neg.f64 z)))
Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify77.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
821×fma-neg_binary64
314×fma-def_binary64
173×distribute-rgt-in_binary64
134×unsub-neg_binary64
124×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01318
12517
24617
37517
412317
520017
637617
771917
8127817
9203017
10271317
11298917
12300517
13300517
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
Outputs
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))

eval1.0ms (0%)

Compiler

Compiled 28 to 16 computations (42.9% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶12.2b
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
▶0.1b
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
Compiler

Compiled 32 to 22 computations (31.3% saved)

localize27.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 z (log.f64 (-.f64 1 y)))
✓0.3b
(*.f64 x (log.f64 y))
✓7.4b
(log.f64 (-.f64 1 y))
Compiler

Compiled 52 to 27 computations (48.1% saved)

series140.0ms (1.3%)

Counts
3 → 48
Calls

15 calls:

TimeVariablePointExpression
50.0ms
z
@0
(*.f64 z (log.f64 (-.f64 1 y)))
42.0ms
x
@0
(*.f64 x (log.f64 y))
20.0ms
y
@0
(*.f64 x (log.f64 y))
14.0ms
y
@-inf
(*.f64 x (log.f64 y))
7.0ms
y
@inf
(*.f64 x (log.f64 y))

rewrite83.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
929×pow1_binary64
853×add-log-exp_binary64
852×log1p-expm1-u_binary64
852×expm1-log1p-u_binary64
836×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
119519
2233019
Stop Event
1×node limit
Counts
3 → 46
Calls
Call 1
Inputs
(log.f64 (-.f64 1 y))
(*.f64 x (log.f64 y))
(*.f64 z (log.f64 (-.f64 1 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 2)) (log.f64 (cbrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (-.f64 1 y))) (log.f64 (sqrt.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 y 3))) (log.f64 (+.f64 1 (fma.f64 y y y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (*.f64 y y))) (log1p.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (neg.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (neg.f64 y))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 y))) 2) (cbrt.f64 (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (neg.f64 y))) (sqrt.f64 (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (neg.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (neg.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (neg.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (neg.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (neg.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log1p.f64 (neg.f64 y)) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log1p.f64 (neg.f64 y)) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log1p.f64 (neg.f64 y)) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (-.f64 1 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (neg.f64 y)) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (log1p.f64 (neg.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log1p.f64 (neg.f64 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (-.f64 1 y) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log1p.f64 (neg.f64 y)) z)))))))

simplify61.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
622×fma-neg_binary64
471×associate-*l*_binary64
437×associate-+l-_binary64
423×fma-def_binary64
374×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
085661
1250602
2743577
32463573
Stop Event
1×node limit
Counts
94 → 97
Calls
Call 1
Inputs
(*.f64 -1 y)
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y)))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/4 (pow.f64 y 4)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (/.f64 1 y))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))
(*.f64 -1 (log.f64 (/.f64 -1 y)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 1 y))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 4) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z)))))
(*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1/3 (/.f64 z (pow.f64 y 3))) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z))
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))
Outputs
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y))
(fma.f64 -1/2 (*.f64 y y) (neg.f64 y))
(-.f64 (*.f64 y (*.f64 y -1/2)) y)
(*.f64 y (+.f64 -1 (*.f64 y -1/2)))
(fma.f64 y (*.f64 y -1/2) (neg.f64 y))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y)))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 -1/3 (pow.f64 y 3) (neg.f64 y)))
(fma.f64 -1/2 (*.f64 y y) (-.f64 (*.f64 -1/3 (pow.f64 y 3)) y))
(-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y)
(-.f64 (*.f64 y (*.f64 y (+.f64 (*.f64 y -1/3) -1/2))) y)
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/4 (pow.f64 y 4)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y))))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 -1/4 (pow.f64 y 4) (fma.f64 -1/3 (pow.f64 y 3) (neg.f64 y))))
(fma.f64 -1/2 (*.f64 y y) (-.f64 (fma.f64 -1/4 (pow.f64 y 4) (*.f64 -1/3 (pow.f64 y 3))) y))
(fma.f64 -1/4 (pow.f64 y 4) (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y))
(-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y (+.f64 -1/3 (*.f64 -1/4 y))))) y)
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y))))
(+.f64 (log.f64 -1) (log.f64 y))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (/.f64 1 y))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 1 y)))
(+.f64 (log.f64 -1) (+.f64 (log.f64 y) (/.f64 -1 y)))
(+.f64 (log.f64 y) (+.f64 (log.f64 -1) (/.f64 -1 y)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 y) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 y) (-.f64 (/.f64 -1 y) (/.f64 1/2 (*.f64 y y)))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -1 y) (+.f64 (/.f64 -1/2 (*.f64 y y)) (log.f64 y))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))) (/.f64 1/3 (pow.f64 y 3)))))
(+.f64 (log.f64 -1) (-.f64 (-.f64 (log.f64 y) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y)))) (/.f64 1/3 (pow.f64 y 3))))
(+.f64 (+.f64 (log.f64 -1) (log.f64 y)) (+.f64 (-.f64 (/.f64 -1 y) (/.f64 1/2 (*.f64 y y))) (/.f64 -1/3 (pow.f64 y 3))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -1 y) (-.f64 (+.f64 (log.f64 y) (/.f64 -1/2 (*.f64 y y))) (/.f64 1/3 (pow.f64 y 3)))))
(*.f64 -1 (log.f64 (/.f64 -1 y)))
(neg.f64 (log.f64 (/.f64 -1 y)))
(-.f64 (log.f64 y) (log.f64 -1))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 1 y))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (/.f64 1 y))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y))
(-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y)) (/.f64 1/2 (*.f64 y y)))
(+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 (*.f64 y y)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))) (/.f64 1/3 (pow.f64 y 3))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.f64 -1 y)) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/3 (pow.f64 y 3))))
(+.f64 (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 -1/2 (*.f64 y y)) (/.f64 -1/3 (pow.f64 y 3))))
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 (neg.f64 y) z))
(*.f64 z (-.f64 (*.f64 y (*.f64 y -1/2)) y))
(*.f64 (*.f64 y (+.f64 -1 (*.f64 y -1/2))) z)
(*.f64 (fma.f64 y (*.f64 y -1/2) (neg.f64 y)) z)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (*.f64 z (-.f64 (*.f64 -1/3 (pow.f64 y 3)) y)))
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y))
(*.f64 z (-.f64 (*.f64 y (*.f64 y (+.f64 (*.f64 y -1/3) -1/2))) y))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 4) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z)))))
(fma.f64 -1/2 (*.f64 (*.f64 y y) z) (fma.f64 -1/4 (*.f64 (pow.f64 y 4) z) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z)))))
(+.f64 (*.f64 z (-.f64 (*.f64 -1/3 (pow.f64 y 3)) y)) (*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/4 (pow.f64 y 4)))))
(*.f64 z (fma.f64 -1/4 (pow.f64 y 4) (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y)))
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y (+.f64 -1/3 (*.f64 -1/4 y))))) y))
(*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) z)
(*.f64 (+.f64 (log.f64 -1) (log.f64 y)) z)
(+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(fma.f64 -1 (/.f64 z y) (*.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) z))
(fma.f64 (+.f64 (log.f64 -1) (log.f64 y)) z (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (/.f64 z y) (*.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) z)))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 (+.f64 (log.f64 -1) (log.f64 y)) z (/.f64 (neg.f64 z) y)))
(fma.f64 (+.f64 (log.f64 -1) (log.f64 y)) z (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1/3 (/.f64 z (pow.f64 y 3))) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (/.f64 z y) (fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (*.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) z))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (-.f64 (fma.f64 (+.f64 (log.f64 -1) (log.f64 y)) z (*.f64 -1/3 (/.f64 z (pow.f64 y 3)))) (/.f64 z y)))
(+.f64 (*.f64 (+.f64 (log.f64 -1) (log.f64 y)) z) (-.f64 (*.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2)) (/.f64 z y)))
(fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (fma.f64 (+.f64 (log.f64 -1) (log.f64 y)) z (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y)))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z))
(*.f64 (neg.f64 (log.f64 (/.f64 -1 y))) z)
(*.f64 (log.f64 (/.f64 -1 y)) (neg.f64 z))
(*.f64 (-.f64 (log.f64 y) (log.f64 -1)) z)
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))
(*.f64 -1 (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) z) (/.f64 z y)))
(neg.f64 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)))
(*.f64 z (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (*.f64 -1 (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) z) (/.f64 z y))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (neg.f64 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y))))
(fma.f64 (log.f64 (/.f64 -1 y)) (neg.f64 z) (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))))
(fma.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y)) (*.f64 (-.f64 (log.f64 y) (log.f64 -1)) z))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z) (fma.f64 -1 (/.f64 z y) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3)))))
(fma.f64 -1 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)) (*.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2)))
(-.f64 (*.f64 (/.f64 z (*.f64 y y)) (+.f64 -1/2 (/.f64 -1/3 y))) (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)))

localize29.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
0.3b
(*.f64 x (log.f64 y))
Compiler

Compiled 36 to 10 computations (72.2% saved)

series16.0ms (0.1%)

Counts
1 → 48
Calls

12 calls:

TimeVariablePointExpression
5.0ms
t
@0
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
4.0ms
z
@0
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
2.0ms
x
@0
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
1.0ms
z
@inf
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
1.0ms
y
@-inf
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))

rewrite83.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
821×prod-diff_binary64
521×log-prod_binary64
338×pow-prod-down_binary64
303×fma-def_binary64
280×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01117
122815
2296915
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 y)) t) (*.f64 z (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (log1p.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (log1p.f64 y)) 1) (-.f64 (*.f64 x (log.f64 y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))) (cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)) 2)) (cbrt.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))) (sqrt.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) (pow.f64 (-.f64 (*.f64 x (log.f64 y)) t) 3)) (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (-.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) t) 2) (*.f64 (*.f64 z (log1p.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (-.f64 (*.f64 x (log.f64 y)) t) 2)) (-.f64 (*.f64 z (log1p.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 (pow.f64 y x) (exp.f64 t)) (exp.f64 (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (log.f64 y)) t))) (exp.f64 (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 z (log1p.f64 y))) (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (log.f64 y)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))) 1))))))

simplify117.0ms (1%)

Algorithm
1×egg-herbie
Rules
572×fma-def_binary64
529×times-frac_binary64
445×associate--r+_binary64
408×associate-+l+_binary64
381×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
082976
1251894
2802876
33453837
47923837
Stop Event
1×node limit
Counts
80 → 67
Calls
Call 1
Inputs
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(*.f64 z (log.f64 (-.f64 1 y)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(*.f64 z (log.f64 (-.f64 1 y)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x))) t)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))) t)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))) t)
(-.f64 (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))) t)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))) t)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1/3 (/.f64 z (pow.f64 y 3))) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))))) t)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z))) t)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))) t)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))))) t)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))) t)
(-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(*.f64 (log.f64 y) x)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(*.f64 (log.f64 y) x)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(*.f64 -1 t)
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(*.f64 -1 t)
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
Outputs
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x)) t)
(-.f64 (fma.f64 -1 (*.f64 y z) (*.f64 (log.f64 y) x)) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z))) t)
(-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 y z) t))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (log.f64 y) x))) t)
(-.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 (log.f64 y) x))) t)
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y z)) (fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z)))) t)
(fma.f64 z (-.f64 (*.f64 y (*.f64 y -1/2)) y) (-.f64 (*.f64 (log.f64 y) x) t))
(-.f64 (fma.f64 z (fma.f64 -1/2 (*.f64 y y) (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))) t)
(-.f64 (fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (fma.f64 (log.f64 y) x (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))) t)
(-.f64 (fma.f64 -1/2 (*.f64 y (*.f64 y z)) (-.f64 (fma.f64 (log.f64 y) x (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))) (*.f64 y z))) t)
(-.f64 (fma.f64 z (-.f64 (*.f64 y (*.f64 y -1/2)) y) (fma.f64 z (*.f64 -1/3 (pow.f64 y 3)) (*.f64 (log.f64 y) x))) t)
(-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 z (-.f64 y (*.f64 (*.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)))) t))
(-.f64 (-.f64 (*.f64 (log.f64 y) x) (*.f64 z (-.f64 y (*.f64 (*.f64 y y) (+.f64 (*.f64 y -1/3) -1/2))))) t)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))) t)
(-.f64 (fma.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (*.f64 (neg.f64 (neg.f64 (log.f64 y))) x)) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (+.f64 (log.f64 y) (log.f64 -1)))) t)
(-.f64 (fma.f64 z (log.f64 -1) (*.f64 (log.f64 y) (+.f64 z x))) t)
(-.f64 (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))) t)
(-.f64 (fma.f64 -1 (/.f64 z y) (fma.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (*.f64 (neg.f64 (neg.f64 (log.f64 y))) x))) t)
(-.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 z (+.f64 (log.f64 y) (log.f64 -1)))) (/.f64 z y)) t)
(-.f64 (fma.f64 z (log.f64 -1) (*.f64 (log.f64 y) (+.f64 z x))) (+.f64 (/.f64 z y) t))
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(-.f64 (fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (/.f64 z y) (fma.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (*.f64 (neg.f64 (neg.f64 (log.f64 y))) x)))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (*.f64 y y)) (-.f64 (fma.f64 (log.f64 y) x (*.f64 z (+.f64 (log.f64 y) (log.f64 -1)))) (/.f64 z y))) t)
(+.f64 (fma.f64 z (log.f64 -1) (*.f64 (log.f64 y) (+.f64 z x))) (-.f64 (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))) t))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1/3 (/.f64 z (pow.f64 y 3))) (+.f64 (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (/.f64 z y) (fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (fma.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (*.f64 (neg.f64 (neg.f64 (log.f64 y))) x))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (*.f64 y y)) (-.f64 (fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (fma.f64 (log.f64 y) x (*.f64 z (+.f64 (log.f64 y) (log.f64 -1))))) (/.f64 z y))) t)
(+.f64 (fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (fma.f64 z (log.f64 -1) (*.f64 (log.f64 y) (+.f64 z x)))) (-.f64 (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))) t))
(+.f64 (-.f64 (*.f64 (/.f64 z (*.f64 y y)) (+.f64 -1/2 (/.f64 -1/3 y))) (/.f64 z y)) (-.f64 (fma.f64 z (log.f64 -1) (*.f64 (log.f64 y) (+.f64 z x))) t))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z))) t)
(-.f64 (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (*.f64 (neg.f64 (log.f64 (/.f64 -1 y))) z)) t)
(-.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (*.f64 z (neg.f64 (log.f64 (/.f64 -1 y))))) t)
(-.f64 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (+.f64 (*.f64 z (log.f64 (/.f64 -1 y))) t))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (-.f64 (log.f64 y) (log.f64 -1)))) t)
(fma.f64 (log.f64 y) x (-.f64 (*.f64 (log.f64 (/.f64 -1 y)) (neg.f64 z)) t))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))) t)
(-.f64 (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (*.f64 -1 (+.f64 (*.f64 z (log.f64 (/.f64 -1 y))) (/.f64 z y)))) t)
(-.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (neg.f64 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)))) t)
(fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (-.f64 (neg.f64 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y))) t))
(-.f64 (*.f64 (log.f64 y) x) (+.f64 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)) t))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (*.f64 -1 (+.f64 (*.f64 z (log.f64 (/.f64 -1 y))) (/.f64 z y))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (neg.f64 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y))))) t)
(-.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (-.f64 (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))) (*.f64 z (log.f64 (/.f64 -1 y))))) t)
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))) (*.f64 z (log.f64 (/.f64 -1 y))))) t)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (fma.f64 -1 (*.f64 z (log.f64 (/.f64 -1 y))) (fma.f64 -1 (/.f64 z y) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 -1 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3)))))) t)
(-.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 -1/2 (/.f64 (/.f64 z y) y) (-.f64 (/.f64 z (/.f64 (pow.f64 y 3) -1/3)) (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y))))) t)
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (*.f64 (/.f64 z (*.f64 y y)) (+.f64 -1/2 (/.f64 -1/3 y))) (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)))) t)
(-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t)
(fma.f64 z (log.f64 (-.f64 1 y)) (neg.f64 t))
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(*.f64 (log.f64 y) x)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(*.f64 (log.f64 y) x)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(+.f64 (*.f64 -1 t) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(fma.f64 (log.f64 y) x (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))

eval93.0ms (0.8%)

Compiler

Compiled 3228 to 1500 computations (53.5% saved)

prune43.0ms (0.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New16713180
Fresh000
Picked101
Done101
Total16913182
Error
0.1b
Counts
182 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
12.7b
(-.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3) (*.f64 z (log.f64 (-.f64 1 y)))) t)
45.7b
(/.f64 (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) (pow.f64 (-.f64 (*.f64 x (log.f64 y)) t) 3)) (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (-.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) t) 2) (*.f64 (*.f64 z (log1p.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t)))))
25.0b
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
39.9b
(*.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))) (cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)) 2)))
▶38.2b
(-.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) (*.f64 z (log.f64 (-.f64 1 y)))) t)
▶0.4b
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y))))) t)
49.4b
(*.f64 z (log1p.f64 (neg.f64 y)))
▶28.0b
(-.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 x (log.f64 y)))) (*.f64 z (log.f64 (-.f64 1 y)))) t)
38.1b
(*.f64 (log.f64 y) x)
▶13.3b
(-.f64 (*.f64 (log.f64 y) x) t)
32.3b
(-.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
▶37.8b
(neg.f64 t)
0.8b
(-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 y z) t))
Compiler

Compiled 482 to 316 computations (34.4% saved)

localize49.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y)))
✓0.0b
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y))))
✓0.2b
(*.f64 -1/3 (pow.f64 y 3))
0.3b
(*.f64 x (log.f64 y))
Compiler

Compiled 125 to 86 computations (31.2% saved)

series8.0ms (0.1%)

Counts
3 → 18
Calls

12 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y))))
1.0ms
y
@inf
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y))))
1.0ms
y
@0
(*.f64 -1/3 (pow.f64 y 3))
1.0ms
z
@inf
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y))))
1.0ms
z
@-inf
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y))))

rewrite100.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
698×log-prod_binary64
568×fma-def_binary64
384×fma-neg_binary64
263×expm1-udef_binary64
263×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01644
135840
2471540
Stop Event
1×node limit
Counts
3 → 187
Calls
Call 1
Inputs
(*.f64 -1/3 (pow.f64 y 3))
(*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y))))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y)))
Outputs
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(cbrt.f64 (fma.f64 -1/3 (pow.f64 y 3) (*.f64 -1/2 (*.f64 y y)))) (cbrt.f64 (fma.f64 -1/3 (pow.f64 y 3) (*.f64 -1/2 (*.f64 y y))))) (cbrt.f64 (fma.f64 -1/3 (pow.f64 y 3) (*.f64 -1/2 (*.f64 y y)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 y 3) (*.f64 -1/2 (*.f64 y y)))) (sqrt.f64 (fma.f64 -1/3 (pow.f64 y 3) (*.f64 -1/2 (*.f64 y y)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y 4))) (sqrt.f64 (cbrt.f64 (*.f64 y y))) (fma.f64 -1/3 (pow.f64 y 3) (*.f64 -1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 -1/3 (pow.f64 y 3) (*.f64 -1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 -1/3) (pow.f64 y 3/2) (sqrt.f64 y)) (-.f64 (*.f64 (sqrt.f64 -1/3) (pow.f64 y 3/2)) (sqrt.f64 y)) (*.f64 -1/2 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (fma.f64 -1/3 (pow.f64 y 3) (*.f64 -1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 y) (*.f64 y y) (+.f64 y (*.f64 -1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 y) y (fma.f64 -1/3 (pow.f64 y 3) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (*.f64 y y)) (fma.f64 -1/3 (pow.f64 y 3) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 (*.f64 y y)) y (+.f64 y (*.f64 -1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 (pow.f64 y 3/2)) (pow.f64 y 3/2) (+.f64 y (*.f64 -1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (fma.f64 -1/3 (pow.f64 y 3) (*.f64 -1/2 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 -1/3 (pow.f64 y 3) (*.f64 -1/2 (*.f64 y y))))))))

simplify59.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
965×distribute-rgt-neg-in_binary64
797×distribute-lft-neg-in_binary64
614×distribute-lft-out--_binary64
425×distribute-rgt-out_binary64
368×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025299
164278
2161250
3497214
42006214
54957214
Stop Event
1×node limit
Counts
205 → 204
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(*.f64 -1/3 (*.f64 (pow.f64 y 3) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(*.f64 -1/3 (*.f64 (pow.f64 y 3) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(*.f64 -1 y)
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y))
(*.f64 -1/3 (pow.f64 y 3))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/3 (pow.f64 y 3)))
(*.f64 -1/3 (pow.f64 y 3))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/3 (pow.f64 y 3)))
Outputs
(*.f64 -1 (*.f64 y z))
(*.f64 (neg.f64 y) z)
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (*.f64 (neg.f64 y) z))
(*.f64 z (-.f64 (*.f64 y (*.f64 y -1/2)) y))
(*.f64 z (fma.f64 -1/2 (*.f64 y y) (neg.f64 y)))
(*.f64 (*.f64 y z) (fma.f64 y -1/2 -1))
(*.f64 y (*.f64 z (fma.f64 y -1/2 -1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(+.f64 (*.f64 z (-.f64 (*.f64 y (*.f64 y -1/2)) y)) (*.f64 -1/3 (*.f64 z (pow.f64 y 3))))
(*.f64 z (+.f64 (neg.f64 y) (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3)))))
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (fma.f64 y -1/3 -1/2)) y))
(*.f64 y (-.f64 (*.f64 (*.f64 y z) (fma.f64 y -1/3 -1/2)) z))
(*.f64 y (-.f64 (*.f64 y (*.f64 z (fma.f64 y -1/3 -1/2))) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(+.f64 (*.f64 z (-.f64 (*.f64 y (*.f64 y -1/2)) y)) (*.f64 -1/3 (*.f64 z (pow.f64 y 3))))
(*.f64 z (+.f64 (neg.f64 y) (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3)))))
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (fma.f64 y -1/3 -1/2)) y))
(*.f64 y (-.f64 (*.f64 (*.f64 y z) (fma.f64 y -1/3 -1/2)) z))
(*.f64 y (-.f64 (*.f64 y (*.f64 z (fma.f64 y -1/3 -1/2))) z))
(*.f64 -1/3 (*.f64 (pow.f64 y 3) z))
(*.f64 -1/3 (*.f64 z (pow.f64 y 3)))
(*.f64 z (*.f64 -1/3 (pow.f64 y 3)))
(*.f64 (pow.f64 y 3) (*.f64 z -1/3))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (*.f64 -1/3 (*.f64 z (pow.f64 y 3))))
(*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/3 (pow.f64 y 3))))
(*.f64 z (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))))
(*.f64 z (*.f64 (*.f64 y y) (fma.f64 y -1/3 -1/2)))
(*.f64 y (*.f64 (*.f64 y z) (fma.f64 y -1/3 -1/2)))
(*.f64 y (*.f64 y (*.f64 z (fma.f64 y -1/3 -1/2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(+.f64 (*.f64 z (-.f64 (*.f64 y (*.f64 y -1/2)) y)) (*.f64 -1/3 (*.f64 z (pow.f64 y 3))))
(*.f64 z (+.f64 (neg.f64 y) (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3)))))
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (fma.f64 y -1/3 -1/2)) y))
(*.f64 y (-.f64 (*.f64 (*.f64 y z) (fma.f64 y -1/3 -1/2)) z))
(*.f64 y (-.f64 (*.f64 y (*.f64 z (fma.f64 y -1/3 -1/2))) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(+.f64 (*.f64 z (-.f64 (*.f64 y (*.f64 y -1/2)) y)) (*.f64 -1/3 (*.f64 z (pow.f64 y 3))))
(*.f64 z (+.f64 (neg.f64 y) (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3)))))
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (fma.f64 y -1/3 -1/2)) y))
(*.f64 y (-.f64 (*.f64 (*.f64 y z) (fma.f64 y -1/3 -1/2)) z))
(*.f64 y (-.f64 (*.f64 y (*.f64 z (fma.f64 y -1/3 -1/2))) z))
(*.f64 -1/3 (*.f64 (pow.f64 y 3) z))
(*.f64 -1/3 (*.f64 z (pow.f64 y 3)))
(*.f64 z (*.f64 -1/3 (pow.f64 y 3)))
(*.f64 (pow.f64 y 3) (*.f64 z -1/3))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (*.f64 -1/3 (*.f64 z (pow.f64 y 3))))
(*.f64 z (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/3 (pow.f64 y 3))))
(*.f64 z (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))))
(*.f64 z (*.f64 (*.f64 y y) (fma.f64 y -1/3 -1/2)))
(*.f64 y (*.f64 (*.f64 y z) (fma.f64 y -1/3 -1/2)))
(*.f64 y (*.f64 y (*.f64 z (fma.f64 y -1/3 -1/2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(+.f64 (*.f64 z (-.f64 (*.f64 y (*.f64 y -1/2)) y)) (*.f64 -1/3 (*.f64 z (pow.f64 y 3))))
(*.f64 z (+.f64 (neg.f64 y) (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3)))))
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (fma.f64 y -1/3 -1/2)) y))
(*.f64 y (-.f64 (*.f64 (*.f64 y z) (fma.f64 y -1/3 -1/2)) z))
(*.f64 y (-.f64 (*.f64 y (*.f64 z (fma.f64 y -1/3 -1/2))) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(+.f64 (*.f64 z (-.f64 (*.f64 y (*.f64 y -1/2)) y)) (*.f64 -1/3 (*.f64 z (pow.f64 y 3))))
(*.f64 z (+.f64 (neg.f64 y) (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3)))))
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (fma.f64 y -1/3 -1/2)) y))
(*.f64 y (-.f64 (*.f64 (*.f64 y z) (fma.f64 y -1/3 -1/2)) z))
(*.f64 y (-.f64 (*.f64 y (*.f64 z (fma.f64 y -1/3 -1/2))) z))
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y))
(fma.f64 -1/2 (*.f64 y y) (neg.f64 y))
(-.f64 (*.f64 y (*.f64 y -1/2)) y)
(*.f64 y (fma.f64 y -1/2 -1))
(*.f64 -1/3 (pow.f64 y 3))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/3 (pow.f64 y 3)))
(fma.f64 -1/2 (*.f64 y y) (*.f64 -1/3 (pow.f64 y 3)))
(*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3)))
(*.f64 (*.f64 y y) (fma.f64 y -1/3 -1/2))
(*.f64 -1/3 (pow.f64 y 3))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/3 (pow.f64 y 3)))
(fma.f64 -1/2 (*.f64 y y) (*.f64 -1/3 (pow.f64 y 3)))
(*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3)))
(*.f64 (*.f64 y y) (fma.f64 y -1/3 -1/2))

localize6.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (log.f64 y) x)
Compiler

Compiled 19 to 7 computations (63.2% saved)

series2.0ms (0%)

Counts
1 → 8
Calls

6 calls:

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

rewrite46.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
435×pow1_binary64
414×add-sqr-sqrt_binary64
409×*-un-lft-identity_binary64
397×add-log-exp_binary64
397×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
1956
211016
Stop Event
1×node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 (log.f64 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 y x)) (cbrt.f64 (pow.f64 y x)))) (log.f64 (cbrt.f64 (pow.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y x))) (log.f64 (sqrt.f64 (pow.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 y) x)))))))

simplify191.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
3199×fma-neg_binary64
757×fma-def_binary64
388×associate--r-_binary64
351×unsub-neg_binary64
304×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01580
13280
26248
314048
428048
571248
6197748
7301948
8365048
9369648
10371448
11371648
12613448
13674648
14701248
15709948
16711348
17711748
18725148
19725948
Stop Event
1×node limit
Counts
22 → 17
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
Outputs
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x))
(*.f64 x (log.f64 y))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x))
(*.f64 x (log.f64 y))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x))
(*.f64 x (log.f64 y))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x))
(*.f64 x (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x))
(*.f64 x (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x))
(*.f64 x (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x))
(*.f64 x (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x))
(*.f64 x (log.f64 y))

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 z (log.f64 (-.f64 1 y)))
0.3b
(*.f64 x (log.f64 y))
✓1.5b
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 y))))
7.4b
(log.f64 (-.f64 1 y))
Compiler

Compiled 67 to 29 computations (56.7% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 y))))
0.0ms
y
@-inf
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 y))))
0.0ms
x
@inf
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 y))))
0.0ms
y
@inf
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 y))))
0.0ms
x
@-inf
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 y))))

rewrite45.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
516×pow1_binary64
492×add-sqr-sqrt_binary64
472×add-log-exp_binary64
472×expm1-log1p-u_binary64
471×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076
11146
213086
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (*.f64 x (log.f64 y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x (log.f64 y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (log.f64 y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (cbrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (sqrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 x (log.f64 y)) 1) (+.f64 (*.f64 x (log.f64 y)) 1)) (+.f64 1 (*.f64 (+.f64 (*.f64 x (log.f64 y)) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (*.f64 x (log.f64 y)) 1) (+.f64 (*.f64 x (log.f64 y)) 1)) 1) (+.f64 (+.f64 (*.f64 x (log.f64 y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 y))))))))

simplify205.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
3199×fma-neg_binary64
757×fma-def_binary64
390×associate--r-_binary64
351×unsub-neg_binary64
304×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017144
134144
261144
3137144
4277144
5740144
61995144
73037144
83664144
93710144
103728144
113730144
126149144
136760144
147026144
157113144
167127144
177131144
187266144
197274144
Stop Event
1×node limit
Counts
52 → 30
Calls
Call 1
Inputs
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
Outputs
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f64 (*.f64 x (log.f64 y)))
✓0.2b
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2)
0.3b
(*.f64 x (log.f64 y))
7.4b
(log.f64 (-.f64 1 y))
Compiler

Compiled 71 to 35 computations (50.7% saved)

series10.0ms (0.1%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2)
2.0ms
x
@0
(sqrt.f64 (*.f64 x (log.f64 y)))
2.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2)
1.0ms
y
@inf
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2)

rewrite56.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
586×pow1_binary64
540×add-log-exp_binary64
540×log1p-expm1-u_binary64
540×expm1-log1p-u_binary64
527×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
116114
2154514
Stop Event
1×node limit
Counts
2 → 50
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2)
(sqrt.f64 (*.f64 x (log.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (sqrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 y)))) (sqrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (cbrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/4) (sqrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (pow.f64 (*.f64 x (log.f64 y)) 1/4)) (pow.f64 (*.f64 x (log.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (cbrt.f64 (*.f64 x (log.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (sqrt.f64 x)) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 x (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 y)))) (cbrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/4) (pow.f64 (*.f64 x (log.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 y)))))))))

simplify73.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
717×unswap-sqr_binary64
337×unsub-neg_binary64
317×fma-neg_binary64
315×fma-def_binary64
304×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024196
145196
284196
3206196
4723196
52782196
65445196
76735196
Stop Event
1×node limit
Counts
74 → 56
Calls
Call 1
Inputs
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(sqrt.f64 (*.f64 (log.f64 y) x))
(sqrt.f64 (*.f64 (log.f64 y) x))
(sqrt.f64 (*.f64 (log.f64 y) x))
(sqrt.f64 (*.f64 (log.f64 y) x))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 y)) x)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 y)) x)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 y)) x)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 y)) x)))
(sqrt.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))
(sqrt.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))
(sqrt.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))
(sqrt.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))
Outputs
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(sqrt.f64 (*.f64 (log.f64 y) x))
(sqrt.f64 (*.f64 (log.f64 y) x))
(sqrt.f64 (*.f64 (log.f64 y) x))
(sqrt.f64 (*.f64 (log.f64 y) x))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 y)) x)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 x (neg.f64 (log.f64 y)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 y) (neg.f64 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 y)) x)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 x (neg.f64 (log.f64 y)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 y) (neg.f64 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 y)) x)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 x (neg.f64 (log.f64 y)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 y) (neg.f64 x))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 y)) x)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 x (neg.f64 (log.f64 y)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (log.f64 y) (neg.f64 x))))
(sqrt.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))
(sqrt.f64 (*.f64 (log.f64 y) x))
(sqrt.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))
(sqrt.f64 (*.f64 (log.f64 y) x))
(sqrt.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))
(sqrt.f64 (*.f64 (log.f64 y) x))
(sqrt.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))
(sqrt.f64 (*.f64 (log.f64 y) x))

eval182.0ms (1.6%)

Compiler

Compiled 11172 to 5913 computations (47.1% saved)

prune95.0ms (0.9%)

Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New46812480
Fresh358
Picked101
Done224
Total47419493
Error
0.0b
Counts
493 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
▶38.1b
(*.f64 (log.f64 y) x)
38.2b
(-.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (cbrt.f64 (*.f64 x (log.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 y))))) (*.f64 z (log.f64 (-.f64 1 y)))) t)
▶29.0b
(-.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 y) x))) t)
39.9b
(*.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))) (cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)) 2)))
25.0b
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
44.0b
(-.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3/2)) 2) (*.f64 z (log.f64 (-.f64 1 y)))) t)
33.7b
(-.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 x (log.f64 y)) 1) (+.f64 (*.f64 x (log.f64 y)) 1)) (+.f64 1 (*.f64 (+.f64 (*.f64 x (log.f64 y)) 1) 1)))) (*.f64 z (log.f64 (-.f64 1 y)))) t)
38.5b
(-.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) t)
✓37.8b
(neg.f64 t)
▶0.4b
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 y (-.f64 (*.f64 y (*.f64 z (fma.f64 y -1/3 -1/2))) z))) t)
13.7b
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) t)
38.3b
(-.f64 (+.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/4) 2) 2) (*.f64 z (log.f64 (-.f64 1 y)))) t)
0.8b
(-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 y z) t))
49.4b
(*.f64 z (log1p.f64 (neg.f64 y)))
▶12.6b
(-.f64 (+.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y))) (*.f64 z (log.f64 (-.f64 1 y)))) t)
▶38.2b
(-.f64 (+.f64 (*.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
33.4b
(-.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3)) t)
✓13.3b
(-.f64 (*.f64 (log.f64 y) x) t)
12.6b
(-.f64 (+.f64 (*.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
Compiler

Compiled 690 to 466 computations (32.5% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 y (*.f64 z (fma.f64 y -1/3 -1/2)))
✓0.0b
(*.f64 y (-.f64 (*.f64 y (*.f64 z (fma.f64 y -1/3 -1/2))) z))
✓0.0b
(*.f64 z (fma.f64 y -1/3 -1/2))
0.3b
(*.f64 x (log.f64 y))
Compiler

Compiled 92 to 50 computations (45.7% saved)

series10.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
z
@inf
(*.f64 y (-.f64 (*.f64 y (*.f64 z (fma.f64 y -1/3 -1/2))) z))
1.0ms
z
@0
(*.f64 y (-.f64 (*.f64 y (*.f64 z (fma.f64 y -1/3 -1/2))) z))
1.0ms
z
@0
(*.f64 z (fma.f64 y -1/3 -1/2))
1.0ms
z
@-inf
(*.f64 y (-.f64 (*.f64 y (*.f64 z (fma.f64 y -1/3 -1/2))) z))
1.0ms
y
@-inf
(*.f64 y (-.f64 (*.f64 y (*.f64 z (fma.f64 y -1/3 -1/2))) z))

rewrite74.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
781×prod-diff_binary64
535×log-prod_binary64
386×pow-prod-down_binary64
306×fma-def_binary64
280×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
121636
2280536
Stop Event
1×node limit
Counts
3 → 67
Calls
Call 1
Inputs
(*.f64 z (fma.f64 y -1/3 -1/2))
(*.f64 y (-.f64 (*.f64 y (*.f64 z (fma.f64 y -1/3 -1/2))) z))
(*.f64 y (*.f64 z (fma.f64 y -1/3 -1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (fma.f64 y -1/3 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y -1/3) z) (*.f64 -1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (*.f64 y -1/3)) (*.f64 z -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 y -1/3 -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 y -1/3 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 y -1/3 -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 y -1/3 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 y -1/3 -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (fma.f64 y -1/3 -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (fma.f64 y -1/3 -1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (fma.f64 y -1/3 -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (fma.f64 y -1/3 -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (fma.f64 y -1/3 -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (fma.f64 y -1/3 -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (fma.f64 y -1/3 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (fma.f64 y -1/3 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (fma.f64 y -1/3 -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (fma.f64 y -1/3 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (fma.f64 y -1/3 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (fma.f64 y -1/3 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (fma.f64 y -1/3 -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (*.f64 y -1/3) (*.f64 z -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y -1/3) z (*.f64 -1/2 z))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (-.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) y) (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y))) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) 3) (pow.f64 z 3)) y) (fma.f64 z (fma.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y) z) (pow.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) 2) (*.f64 z z)) y) (fma.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) 3) (pow.f64 z 3))) (fma.f64 z (fma.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y) z) (pow.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) 2) (*.f64 z z))) (fma.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) y (*.f64 (neg.f64 z) y))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y -1/3) (*.f64 z y)) (*.f64 -1/2 (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z y) (*.f64 y -1/3)) (*.f64 (*.f64 z y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 z y)) (fma.f64 y -1/3 -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 z y)) (fma.f64 y -1/3 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 z y)) (fma.f64 y -1/3 -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 z y)) (fma.f64 y -1/3 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 z y)) (fma.f64 y -1/3 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 y -1/3 -1/2) (*.f64 z y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y -1/3) (*.f64 z y) (*.f64 -1/2 (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z y) (*.f64 y -1/3) (*.f64 (*.f64 z y) -1/2))))))

simplify163.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
559×fma-def_binary64
502×unswap-sqr_binary64
353×fma-neg_binary64
293×unsub-neg_binary64
284×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0411138
1120973
2339781
31202779
43101779
55154779
66192779
77574779
87796779
97979779
Stop Event
1×node limit
Counts
139 → 93
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 -1/2 z)
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(*.f64 -1/3 (*.f64 y z))
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(*.f64 -1/3 (*.f64 y z))
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(*.f64 -1/3 (*.f64 (pow.f64 y 3) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(*.f64 -1/3 (*.f64 (pow.f64 y 3) z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(*.f64 y (*.f64 z (-.f64 (*.f64 y (-.f64 (*.f64 -1/3 y) 1/2)) 1)))
(*.f64 y (*.f64 z (-.f64 (*.f64 y (-.f64 (*.f64 -1/3 y) 1/2)) 1)))
(*.f64 y (*.f64 z (-.f64 (*.f64 y (-.f64 (*.f64 -1/3 y) 1/2)) 1)))
(*.f64 y (*.f64 z (-.f64 (*.f64 y (-.f64 (*.f64 -1/3 y) 1/2)) 1)))
(*.f64 y (*.f64 z (-.f64 (*.f64 y (-.f64 (*.f64 -1/3 y) 1/2)) 1)))
(*.f64 y (*.f64 z (-.f64 (*.f64 y (-.f64 (*.f64 -1/3 y) 1/2)) 1)))
(*.f64 y (*.f64 z (-.f64 (*.f64 y (-.f64 (*.f64 -1/3 y) 1/2)) 1)))
(*.f64 y (*.f64 z (-.f64 (*.f64 y (-.f64 (*.f64 -1/3 y) 1/2)) 1)))
(*.f64 -1 (*.f64 y (*.f64 z (+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/3 y) 1/2))) 1))))
(*.f64 -1 (*.f64 y (*.f64 z (+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/3 y) 1/2))) 1))))
(*.f64 -1 (*.f64 y (*.f64 z (+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/3 y) 1/2))) 1))))
(*.f64 -1 (*.f64 y (*.f64 z (+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/3 y) 1/2))) 1))))
(*.f64 -1/2 (*.f64 y z))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(*.f64 -1/3 (*.f64 (pow.f64 y 2) z))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(*.f64 -1/3 (*.f64 (pow.f64 y 2) z))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
Outputs
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 (fma.f64 -1/3 y -1/2) z)
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 (fma.f64 -1/3 y -1/2) z)
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 (fma.f64 -1/3 y -1/2) z)
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 (fma.f64 -1/3 y -1/2) z)
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 (fma.f64 -1/3 y -1/2) z)
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 (fma.f64 -1/3 y -1/2) z)
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 (fma.f64 -1/3 y -1/2) z)
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 (fma.f64 -1/3 y -1/2) z)
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 (fma.f64 -1/3 y -1/2) z)
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 (fma.f64 -1/3 y -1/2) z)
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 (fma.f64 -1/3 y -1/2) z)
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 (fma.f64 -1/3 y -1/2) z)
(*.f64 -1/2 z)
(*.f64 z -1/2)
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(*.f64 (fma.f64 -1/3 y -1/2) z)
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(*.f64 (fma.f64 -1/3 y -1/2) z)
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(*.f64 (fma.f64 -1/3 y -1/2) z)
(*.f64 -1/3 (*.f64 y z))
(*.f64 (*.f64 -1/3 y) z)
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(*.f64 (fma.f64 -1/3 y -1/2) z)
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(*.f64 (fma.f64 -1/3 y -1/2) z)
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(*.f64 (fma.f64 -1/3 y -1/2) z)
(*.f64 -1/3 (*.f64 y z))
(*.f64 (*.f64 -1/3 y) z)
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(*.f64 (fma.f64 -1/3 y -1/2) z)
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(*.f64 (fma.f64 -1/3 y -1/2) z)
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(*.f64 (fma.f64 -1/3 y -1/2) z)
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (neg.f64 (*.f64 y z)))
(*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (-.f64 (*.f64 y (*.f64 y -1/2)) y))
(*.f64 y (*.f64 z (fma.f64 y -1/2 -1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/3 (pow.f64 y 3)))))
(*.f64 y (*.f64 z (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 z (*.f64 y (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/3 (pow.f64 y 3)))))
(*.f64 y (*.f64 z (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 z (*.f64 y (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 -1/3 (*.f64 (pow.f64 y 3) z))
(*.f64 -1/3 (*.f64 z (pow.f64 y 3)))
(*.f64 (pow.f64 y 3) (*.f64 z -1/3))
(*.f64 z (*.f64 -1/3 (pow.f64 y 3)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (*.f64 -1/3 (*.f64 z (pow.f64 y 3))))
(*.f64 z (+.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/3 (pow.f64 y 3))))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 y (*.f64 y z)))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 z (*.f64 y y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/3 (pow.f64 y 3)))))
(*.f64 y (*.f64 z (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 z (*.f64 y (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/3 (pow.f64 y 3)))))
(*.f64 y (*.f64 z (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 z (*.f64 y (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 -1/3 (*.f64 (pow.f64 y 3) z))
(*.f64 -1/3 (*.f64 z (pow.f64 y 3)))
(*.f64 (pow.f64 y 3) (*.f64 z -1/3))
(*.f64 z (*.f64 -1/3 (pow.f64 y 3)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (*.f64 -1/3 (*.f64 z (pow.f64 y 3))))
(*.f64 z (+.f64 (*.f64 -1/2 (*.f64 y y)) (*.f64 -1/3 (pow.f64 y 3))))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 y (*.f64 y z)))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 z (*.f64 y y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/3 (pow.f64 y 3)))))
(*.f64 y (*.f64 z (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 z (*.f64 y (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/3 (pow.f64 y 3)))))
(*.f64 y (*.f64 z (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 z (*.f64 y (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 y (*.f64 z (-.f64 (*.f64 y (-.f64 (*.f64 -1/3 y) 1/2)) 1)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/3 (pow.f64 y 3)))))
(*.f64 y (*.f64 z (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 z (*.f64 y (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 y (*.f64 z (-.f64 (*.f64 y (-.f64 (*.f64 -1/3 y) 1/2)) 1)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/3 (pow.f64 y 3)))))
(*.f64 y (*.f64 z (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 z (*.f64 y (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 y (*.f64 z (-.f64 (*.f64 y (-.f64 (*.f64 -1/3 y) 1/2)) 1)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/3 (pow.f64 y 3)))))
(*.f64 y (*.f64 z (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 z (*.f64 y (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 y (*.f64 z (-.f64 (*.f64 y (-.f64 (*.f64 -1/3 y) 1/2)) 1)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/3 (pow.f64 y 3)))))
(*.f64 y (*.f64 z (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 z (*.f64 y (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 y (*.f64 z (-.f64 (*.f64 y (-.f64 (*.f64 -1/3 y) 1/2)) 1)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/3 (pow.f64 y 3)))))
(*.f64 y (*.f64 z (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 z (*.f64 y (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 y (*.f64 z (-.f64 (*.f64 y (-.f64 (*.f64 -1/3 y) 1/2)) 1)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/3 (pow.f64 y 3)))))
(*.f64 y (*.f64 z (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 z (*.f64 y (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 y (*.f64 z (-.f64 (*.f64 y (-.f64 (*.f64 -1/3 y) 1/2)) 1)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/3 (pow.f64 y 3)))))
(*.f64 y (*.f64 z (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 z (*.f64 y (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 y (*.f64 z (-.f64 (*.f64 y (-.f64 (*.f64 -1/3 y) 1/2)) 1)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/3 (pow.f64 y 3)))))
(*.f64 y (*.f64 z (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 z (*.f64 y (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 -1 (*.f64 y (*.f64 z (+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/3 y) 1/2))) 1))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/3 (pow.f64 y 3)))))
(*.f64 y (*.f64 z (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 z (*.f64 y (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 -1 (*.f64 y (*.f64 z (+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/3 y) 1/2))) 1))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/3 (pow.f64 y 3)))))
(*.f64 y (*.f64 z (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 z (*.f64 y (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 -1 (*.f64 y (*.f64 z (+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/3 y) 1/2))) 1))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/3 (pow.f64 y 3)))))
(*.f64 y (*.f64 z (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 z (*.f64 y (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 -1 (*.f64 y (*.f64 z (+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1/3 y) 1/2))) 1))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 y z) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(fma.f64 -1/2 (*.f64 y (*.f64 y z)) (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/3 (pow.f64 y 3)))))
(*.f64 y (*.f64 z (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 z (*.f64 y (fma.f64 y (fma.f64 -1/3 y -1/2) -1)))
(*.f64 -1/2 (*.f64 y z))
(*.f64 (*.f64 -1/2 y) z)
(*.f64 y (*.f64 z -1/2))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(fma.f64 -1/2 (*.f64 y z) (*.f64 -1/3 (*.f64 z (*.f64 y y))))
(*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 y z))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(fma.f64 -1/2 (*.f64 y z) (*.f64 -1/3 (*.f64 z (*.f64 y y))))
(*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 y z))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(fma.f64 -1/2 (*.f64 y z) (*.f64 -1/3 (*.f64 z (*.f64 y y))))
(*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 y z))
(*.f64 -1/3 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/3 (*.f64 z (*.f64 y y)))
(*.f64 -1/3 (*.f64 y (*.f64 y z)))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(fma.f64 -1/2 (*.f64 y z) (*.f64 -1/3 (*.f64 z (*.f64 y y))))
(*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 y z))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(fma.f64 -1/2 (*.f64 y z) (*.f64 -1/3 (*.f64 z (*.f64 y y))))
(*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 y z))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(fma.f64 -1/2 (*.f64 y z) (*.f64 -1/3 (*.f64 z (*.f64 y y))))
(*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 y z))
(*.f64 -1/3 (*.f64 (pow.f64 y 2) z))
(*.f64 -1/3 (*.f64 z (*.f64 y y)))
(*.f64 -1/3 (*.f64 y (*.f64 y z)))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(fma.f64 -1/2 (*.f64 y z) (*.f64 -1/3 (*.f64 z (*.f64 y y))))
(*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 y z))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(fma.f64 -1/2 (*.f64 y z) (*.f64 -1/3 (*.f64 z (*.f64 y y))))
(*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 y z))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(fma.f64 -1/2 (*.f64 y z) (*.f64 -1/3 (*.f64 z (*.f64 y y))))
(*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 y z))
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
(fma.f64 -1/2 (*.f64 y z) (*.f64 -1/3 (*.f64 z (*.f64 y y))))
(*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 y z))
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
(fma.f64 -1/2 (*.f64 y z) (*.f64 -1/3 (*.f64 z (*.f64 y y))))
(*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 y z))
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
(fma.f64 -1/2 (*.f64 y z) (*.f64 -1/3 (*.f64 z (*.f64 y y))))
(*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 y z))
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
(fma.f64 -1/2 (*.f64 y z) (*.f64 -1/3 (*.f64 z (*.f64 y y))))
(*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 y z))
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
(fma.f64 -1/2 (*.f64 y z) (*.f64 -1/3 (*.f64 z (*.f64 y y))))
(*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 y z))
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
(fma.f64 -1/2 (*.f64 y z) (*.f64 -1/3 (*.f64 z (*.f64 y y))))
(*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 y z))
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
(fma.f64 -1/2 (*.f64 y z) (*.f64 -1/3 (*.f64 z (*.f64 y y))))
(*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 y z))
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
(fma.f64 -1/2 (*.f64 y z) (*.f64 -1/3 (*.f64 z (*.f64 y y))))
(*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 y z))
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
(fma.f64 -1/2 (*.f64 y z) (*.f64 -1/3 (*.f64 z (*.f64 y y))))
(*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 y z))
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
(fma.f64 -1/2 (*.f64 y z) (*.f64 -1/3 (*.f64 z (*.f64 y y))))
(*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 y z))
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
(fma.f64 -1/2 (*.f64 y z) (*.f64 -1/3 (*.f64 z (*.f64 y y))))
(*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 y z))
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
(fma.f64 -1/2 (*.f64 y z) (*.f64 -1/3 (*.f64 z (*.f64 y y))))
(*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))
(*.f64 (fma.f64 -1/3 y -1/2) (*.f64 y z))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (log.f64 y) x)
Compiler

Compiled 12 to 6 computations (50% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(log1p.f64 (*.f64 (log.f64 y) x))
0.3b
(*.f64 (log.f64 y) x)
✓1.5b
(expm1.f64 (log1p.f64 (*.f64 (log.f64 y) x)))
Compiler

Compiled 32 to 9 computations (71.9% saved)

series54.0ms (0.5%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
19.0ms
y
@-inf
(log1p.f64 (*.f64 (log.f64 y) x))
16.0ms
y
@0
(log1p.f64 (*.f64 (log.f64 y) x))
15.0ms
y
@inf
(log1p.f64 (*.f64 (log.f64 y) x))
1.0ms
x
@0
(log1p.f64 (*.f64 (log.f64 y) x))
1.0ms
x
@-inf
(log1p.f64 (*.f64 (log.f64 y) x))

rewrite54.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
516×pow1_binary64
492×add-sqr-sqrt_binary64
472×add-log-exp_binary64
472×expm1-log1p-u_binary64
471×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
111414
2130814
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (*.f64 (log.f64 y) x)))
(log1p.f64 (*.f64 (log.f64 y) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 y) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 2) (cbrt.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (sqrt.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 (log.f64 y) x) 1) (+.f64 (*.f64 (log.f64 y) x) 1)) (+.f64 1 (*.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (*.f64 (log.f64 y) x) 1) (+.f64 (*.f64 (log.f64 y) x) 1)) 1) (+.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 y) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (*.f64 (log.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 (log.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 (log.f64 y) x))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (log.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (log.f64 y) x))) 2) (cbrt.f64 (log1p.f64 (*.f64 (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 (log.f64 y) x))) (sqrt.f64 (log1p.f64 (*.f64 (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 (log.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 (log.f64 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (log.f64 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (log.f64 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (log.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (*.f64 (log.f64 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (log.f64 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 (log.f64 y) x))))))))

simplify70.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
682×sub-neg_binary64
594×unsub-neg_binary64
340×*-commutative_binary64
300×unswap-sqr_binary64
274×associate-+l-_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
075626
1209602
2597599
32443597
46786584
Stop Event
1×node limit
Counts
91 → 67
Calls
Call 1
Inputs
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(log.f64 (+.f64 1 (*.f64 (log.f64 y) x)))
(log.f64 (+.f64 1 (*.f64 (log.f64 y) x)))
(log.f64 (+.f64 1 (*.f64 (log.f64 y) x)))
(log.f64 (+.f64 1 (*.f64 (log.f64 y) x)))
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))
(log.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)))
(log.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)))
(log.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)))
(log.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1/2 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1/2 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1/2 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (log.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 (log.f64 y) x)) (log.f64 (log.f64 y))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 (log.f64 y) x)) (log.f64 (log.f64 y)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 (log.f64 y) x)) (+.f64 (log.f64 (log.f64 y)) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))))
(+.f64 (log.f64 (*.f64 -1 (log.f64 y))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (*.f64 -1 (log.f64 y))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 (*.f64 (log.f64 y) x))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (log.f64 y))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 (*.f64 (log.f64 y) x)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (log.f64 y))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (*.f64 (log.f64 y) x)) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))))
Outputs
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(log.f64 (+.f64 1 (*.f64 (log.f64 y) x)))
(log1p.f64 (*.f64 (log.f64 y) x))
(log.f64 (+.f64 1 (*.f64 (log.f64 y) x)))
(log1p.f64 (*.f64 (log.f64 y) x))
(log.f64 (+.f64 1 (*.f64 (log.f64 y) x)))
(log1p.f64 (*.f64 (log.f64 y) x))
(log.f64 (+.f64 1 (*.f64 (log.f64 y) x)))
(log1p.f64 (*.f64 (log.f64 y) x))
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))
(log1p.f64 (*.f64 (log.f64 y) x))
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))
(log1p.f64 (*.f64 (log.f64 y) x))
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))
(log1p.f64 (*.f64 (log.f64 y) x))
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))
(log1p.f64 (*.f64 (log.f64 y) x))
(log.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)))
(log1p.f64 (*.f64 (log.f64 y) x))
(log.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)))
(log1p.f64 (*.f64 (log.f64 y) x))
(log.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)))
(log1p.f64 (*.f64 (log.f64 y) x))
(log.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)))
(log1p.f64 (*.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 y) x) (*.f64 -1/2 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))))
(fma.f64 (log.f64 y) x (*.f64 -1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))))
(fma.f64 (log.f64 y) x (*.f64 -1/2 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2)))))
(*.f64 x (+.f64 (log.f64 y) (*.f64 x (*.f64 -1/2 (pow.f64 (log.f64 y) 2)))))
(*.f64 x (+.f64 (log.f64 y) (*.f64 -1/2 (*.f64 x (pow.f64 (log.f64 y) 2)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1/2 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))))
(fma.f64 1/3 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (fma.f64 (log.f64 y) x (*.f64 -1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)))))
(fma.f64 1/3 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (fma.f64 (log.f64 y) x (*.f64 -1/2 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2))))))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 x x) (+.f64 (*.f64 -1/2 (pow.f64 (log.f64 y) 2)) (*.f64 x (*.f64 1/3 (pow.f64 (log.f64 y) 3))))))
(*.f64 x (+.f64 (log.f64 y) (*.f64 x (+.f64 (*.f64 -1/2 (pow.f64 (log.f64 y) 2)) (*.f64 x (*.f64 1/3 (pow.f64 (log.f64 y) 3)))))))
(fma.f64 1/3 (pow.f64 (*.f64 (log.f64 y) x) 3) (*.f64 x (+.f64 (log.f64 y) (*.f64 -1/2 (*.f64 x (pow.f64 (log.f64 y) 2))))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 (log.f64 y) x) (*.f64 -1/2 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))))))
(fma.f64 -1/4 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) (fma.f64 1/3 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (fma.f64 (log.f64 y) x (*.f64 -1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))))))
(fma.f64 -1/4 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) (fma.f64 1/3 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (fma.f64 (log.f64 y) x (*.f64 -1/2 (*.f64 x (*.f64 x (pow.f64 (log.f64 y) 2)))))))
(fma.f64 1/3 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (fma.f64 -1/4 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) (*.f64 x (+.f64 (log.f64 y) (*.f64 x (*.f64 -1/2 (pow.f64 (log.f64 y) 2)))))))
(fma.f64 -1/4 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) (*.f64 x (+.f64 (log.f64 y) (*.f64 x (+.f64 (*.f64 -1/2 (pow.f64 (log.f64 y) 2)) (*.f64 x (*.f64 1/3 (pow.f64 (log.f64 y) 3))))))))
(fma.f64 1/3 (pow.f64 (*.f64 (log.f64 y) x) 3) (fma.f64 -1/4 (pow.f64 (*.f64 (log.f64 y) x) 4) (*.f64 x (+.f64 (log.f64 y) (*.f64 -1/2 (*.f64 x (pow.f64 (log.f64 y) 2)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (log.f64 y)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (log.f64 y)))
(+.f64 (log.f64 x) (log.f64 (log.f64 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 (log.f64 y) x)) (log.f64 (log.f64 y))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 y)) (/.f64 1 (*.f64 (log.f64 y) x))))
(+.f64 (log.f64 x) (+.f64 (log.f64 (log.f64 y)) (/.f64 1 (*.f64 (log.f64 y) x))))
(+.f64 (log.f64 (log.f64 y)) (+.f64 (log.f64 x) (/.f64 1 (*.f64 (log.f64 y) x))))
(+.f64 (log.f64 (log.f64 y)) (+.f64 (log.f64 x) (/.f64 (/.f64 1 x) (log.f64 y))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 (log.f64 y) x)) (log.f64 (log.f64 y)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 y)) (/.f64 1 (*.f64 (log.f64 y) x)))) (/.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))))
(+.f64 (+.f64 (log.f64 x) (/.f64 1 (*.f64 (log.f64 y) x))) (-.f64 (log.f64 (log.f64 y)) (/.f64 (/.f64 1/2 (*.f64 x x)) (pow.f64 (log.f64 y) 2))))
(+.f64 (log.f64 (log.f64 y)) (-.f64 (+.f64 (log.f64 x) (/.f64 1 (*.f64 (log.f64 y) x))) (/.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 (log.f64 y)) (+.f64 (/.f64 (/.f64 1 x) (log.f64 y)) (/.f64 (/.f64 -1/2 x) (*.f64 x (pow.f64 (log.f64 y) 2))))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (*.f64 (log.f64 y) x)) (+.f64 (log.f64 (log.f64 y)) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (+.f64 (log.f64 (log.f64 y)) (/.f64 1 (*.f64 (log.f64 y) x))) (/.f64 1/3 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) (/.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 (log.f64 y)) (/.f64 1 (*.f64 (log.f64 y) x))) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (/.f64 (/.f64 1/2 (*.f64 x x)) (pow.f64 (log.f64 y) 2)))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 1 (*.f64 (log.f64 y) x)) (/.f64 1/3 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (-.f64 (log.f64 (log.f64 y)) (/.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))))))
(+.f64 (+.f64 (log.f64 x) (+.f64 (log.f64 (log.f64 y)) (+.f64 (/.f64 (/.f64 1 x) (log.f64 y)) (/.f64 (/.f64 -1/2 x) (*.f64 x (pow.f64 (log.f64 y) 2)))))) (/.f64 1/3 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 x) (+.f64 (log.f64 (log.f64 y)) (+.f64 (/.f64 (/.f64 1 x) (log.f64 y)) (/.f64 (/.f64 -1/2 x) (*.f64 x (pow.f64 (log.f64 y) 2)))))) (/.f64 1/3 (pow.f64 (*.f64 (log.f64 y) x) 3)))
(+.f64 (log.f64 (*.f64 -1 (log.f64 y))) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (log.f64 y)))
(+.f64 (log.f64 x) (log.f64 (log.f64 y)))
(+.f64 (log.f64 (*.f64 -1 (log.f64 y))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 (*.f64 (log.f64 y) x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 y)) (/.f64 1 (*.f64 (log.f64 y) x))))
(+.f64 (log.f64 x) (+.f64 (log.f64 (log.f64 y)) (/.f64 1 (*.f64 (log.f64 y) x))))
(+.f64 (log.f64 (log.f64 y)) (+.f64 (log.f64 x) (/.f64 1 (*.f64 (log.f64 y) x))))
(+.f64 (log.f64 (log.f64 y)) (+.f64 (log.f64 x) (/.f64 (/.f64 1 x) (log.f64 y))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (log.f64 y))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 (*.f64 (log.f64 y) x)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 (log.f64 y)) (/.f64 1 (*.f64 (log.f64 y) x)))) (/.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))))
(+.f64 (+.f64 (log.f64 x) (/.f64 1 (*.f64 (log.f64 y) x))) (-.f64 (log.f64 (log.f64 y)) (/.f64 (/.f64 1/2 (*.f64 x x)) (pow.f64 (log.f64 y) 2))))
(+.f64 (log.f64 (log.f64 y)) (-.f64 (+.f64 (log.f64 x) (/.f64 1 (*.f64 (log.f64 y) x))) (/.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 (log.f64 y)) (+.f64 (/.f64 (/.f64 1 x) (log.f64 y)) (/.f64 (/.f64 -1/2 x) (*.f64 x (pow.f64 (log.f64 y) 2))))))
(-.f64 (+.f64 (log.f64 (*.f64 -1 (log.f64 y))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (*.f64 (log.f64 y) x)) (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (+.f64 (log.f64 (log.f64 y)) (/.f64 1 (*.f64 (log.f64 y) x))) (/.f64 1/3 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) (/.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 (log.f64 y)) (/.f64 1 (*.f64 (log.f64 y) x))) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (/.f64 (/.f64 1/2 (*.f64 x x)) (pow.f64 (log.f64 y) 2)))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 1 (*.f64 (log.f64 y) x)) (/.f64 1/3 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))) (-.f64 (log.f64 (log.f64 y)) (/.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))))))
(+.f64 (+.f64 (log.f64 x) (+.f64 (log.f64 (log.f64 y)) (+.f64 (/.f64 (/.f64 1 x) (log.f64 y)) (/.f64 (/.f64 -1/2 x) (*.f64 x (pow.f64 (log.f64 y) 2)))))) (/.f64 1/3 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 x) (+.f64 (log.f64 (log.f64 y)) (+.f64 (/.f64 (/.f64 1 x) (log.f64 y)) (/.f64 (/.f64 -1/2 x) (*.f64 x (pow.f64 (log.f64 y) 2)))))) (/.f64 1/3 (pow.f64 (*.f64 (log.f64 y) x) 3)))

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 z (log.f64 (-.f64 1 y)))
✓0.2b
(*.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
✓0.2b
(*.f64 (log.f64 y) (sqrt.f64 x))
7.4b
(log.f64 (-.f64 1 y))
Compiler

Compiled 71 to 29 computations (59.2% saved)

series9.0ms (0.1%)

Counts
2 → 32
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@0
(*.f64 (log.f64 y) (sqrt.f64 x))
1.0ms
x
@-inf
(*.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
1.0ms
y
@0
(*.f64 (log.f64 y) (sqrt.f64 x))
1.0ms
x
@-inf
(*.f64 (log.f64 y) (sqrt.f64 x))
1.0ms
x
@inf
(*.f64 (log.f64 y) (sqrt.f64 x))

rewrite54.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
113614
2159614
Stop Event
1×node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 (log.f64 y) (sqrt.f64 x))
(*.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log.f64 y) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 y) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (pow.f64 (log.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 y) (sqrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 y) x)))))))

simplify79.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
563×unsub-neg_binary64
461×fma-def_binary64
363×fma-neg_binary64
303×sub-neg_binary64
302×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026240
159240
2150208
3351208
41101208
53562208
66145208
77486208
Stop Event
1×node limit
Counts
54 → 30
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) (sqrt.f64 x)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) (sqrt.f64 x)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) (sqrt.f64 x)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) (sqrt.f64 x)))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (sqrt.f64 x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (sqrt.f64 x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (sqrt.f64 x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (sqrt.f64 x))
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 y) x)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 y) x)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 y) x)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 y) x)))
Outputs
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) (sqrt.f64 x)))
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 (sqrt.f64 x) (log.f64 y))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) (sqrt.f64 x)))
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 (sqrt.f64 x) (log.f64 y))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) (sqrt.f64 x)))
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 (sqrt.f64 x) (log.f64 y))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) (sqrt.f64 x)))
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 (sqrt.f64 x) (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (sqrt.f64 x))
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 (sqrt.f64 x) (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (sqrt.f64 x))
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 (sqrt.f64 x) (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (sqrt.f64 x))
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 (sqrt.f64 x) (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (sqrt.f64 x))
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 (sqrt.f64 x) (log.f64 y))
(*.f64 (log.f64 y) x)
(*.f64 x (log.f64 y))
(*.f64 (log.f64 y) x)
(*.f64 x (log.f64 y))
(*.f64 (log.f64 y) x)
(*.f64 x (log.f64 y))
(*.f64 (log.f64 y) x)
(*.f64 x (log.f64 y))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 x (log.f64 y))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 x (log.f64 y))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 x (log.f64 y))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 x (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 x (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 x (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 x (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 x (log.f64 y))
(*.f64 (log.f64 y) x)
(*.f64 x (log.f64 y))
(*.f64 (log.f64 y) x)
(*.f64 x (log.f64 y))
(*.f64 (log.f64 y) x)
(*.f64 x (log.f64 y))
(*.f64 (log.f64 y) x)
(*.f64 x (log.f64 y))
(*.f64 (log.f64 y) x)
(*.f64 x (log.f64 y))
(*.f64 (log.f64 y) x)
(*.f64 x (log.f64 y))
(*.f64 (log.f64 y) x)
(*.f64 x (log.f64 y))
(*.f64 (log.f64 y) x)
(*.f64 x (log.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 y) x)))
(*.f64 x (log.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 y) x)))
(*.f64 x (log.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 y) x)))
(*.f64 x (log.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (log.f64 y) x)))
(*.f64 x (log.f64 y))

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))
✓0.4b
(pow.f64 (cbrt.f64 (log.f64 y)) 2)
✓0.5b
(cbrt.f64 (log.f64 y))
7.4b
(log.f64 (-.f64 1 y))
Compiler

Compiled 89 to 45 computations (49.4% saved)

series15.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
x
@0
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))
2.0ms
y
@0
(cbrt.f64 (log.f64 y))
2.0ms
y
@inf
(cbrt.f64 (log.f64 y))
2.0ms
y
@0
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))
2.0ms
y
@-inf
(cbrt.f64 (log.f64 y))

rewrite63.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
739×pow1_binary64
680×add-log-exp_binary64
680×log1p-expm1-u_binary64
680×expm1-log1p-u_binary64
664×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
117919
2196719
Stop Event
1×node limit
Counts
3 → 49
Calls
Call 1
Inputs
(cbrt.f64 (log.f64 y))
(pow.f64 (cbrt.f64 (log.f64 y)) 2)
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (cbrt.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 y) 1/6) (pow.f64 (log.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 y)) 1/3) (pow.f64 (sqrt.f64 (log.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (log.f64 y)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (pow.f64 (log.f64 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 y) 1/6) (*.f64 (pow.f64 (log.f64 y) 1/6) (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (log.f64 y) (*.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 y) x)))))))

simplify62.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
563×fma-def_binary64
492×unswap-sqr_binary64
385×unsub-neg_binary64
340×fma-neg_binary64
328×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034368
191360
2183360
3529360
42083360
55195360
Stop Event
1×node limit
Counts
97 → 60
Calls
Call 1
Inputs
(pow.f64 (log.f64 y) 1/3)
(pow.f64 (log.f64 y) 1/3)
(pow.f64 (log.f64 y) 1/3)
(pow.f64 (log.f64 y) 1/3)
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
Outputs
(pow.f64 (log.f64 y) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (log.f64 y) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (log.f64 y) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (log.f64 y) 1/3)
(cbrt.f64 (log.f64 y))
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (cbrt.f64 -1))
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (cbrt.f64 -1))
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (cbrt.f64 -1))
(*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (cbrt.f64 -1))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3)
(cbrt.f64 (log.f64 y))
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (log.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (/.f64 1 y)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 y)) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (pow.f64 (cbrt.f64 -1) 2))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 y) 2))
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)

eval155.0ms (1.4%)

Compiler

Compiled 9364 to 4677 computations (50.1% saved)

prune257.0ms (2.3%)

Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New43613449
Fresh7512
Picked101
Done336
Total44721468
Error
0.0b
Counts
468 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
▶49.4b
(*.f64 z (log1p.f64 (neg.f64 y)))
13.6b
(-.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y))) t)
38.9b
(-.f64 (*.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) t)
38.6b
(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)
▶13.7b
(-.f64 (*.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) t)
50.0b
(pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)
25.0b
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
▶54.7b
(cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3))
38.3b
(-.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (sqrt.f64 x))) 3) (sqrt.f64 x)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
12.7b
(-.f64 (+.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4)))) (cbrt.f64 (log.f64 y))) (*.f64 z (log.f64 (-.f64 1 y)))) t)
✓37.8b
(neg.f64 t)
12.5b
(-.f64 (+.f64 (*.f64 (*.f64 x (pow.f64 (pow.f64 (log.f64 y) 2) 1/3)) (cbrt.f64 (log.f64 y))) (*.f64 z (log.f64 (-.f64 1 y)))) t)
38.3b
(-.f64 (+.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/4) 2) 2) (*.f64 z (log.f64 (-.f64 1 y)))) t)
0.8b
(-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 y z) t))
▶0.4b
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 y (-.f64 (*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)) z))) t)
▶34.8b
(-.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 (log.f64 y) x) 1) (+.f64 (*.f64 (log.f64 y) x) 1)) (+.f64 1 (*.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 1)))) t)
12.5b
(-.f64 (+.f64 (*.f64 (*.f64 x (pow.f64 (*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1)) 2)) (cbrt.f64 (log.f64 y))) (*.f64 z (log.f64 (-.f64 1 y)))) t)
✓38.1b
(*.f64 (log.f64 y) x)
49.2b
(expm1.f64 (log1p.f64 (*.f64 (log.f64 y) x)))
✓13.3b
(-.f64 (*.f64 (log.f64 y) x) t)
44.0b
(-.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3/2)) 2) (*.f64 z (log.f64 (-.f64 1 y)))) t)
Compiler

Compiled 718 to 516 computations (28.1% saved)

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
✓0.0b
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
✓0.2b
(*.f64 -1/3 y)
0.3b
(*.f64 x (log.f64 y))
Compiler

Compiled 102 to 59 computations (42.2% saved)

series7.0ms (0.1%)

Counts
3 → 24
Calls

15 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
1.0ms
z
@inf
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
1.0ms
y
@0
(*.f64 -1/3 y)
1.0ms
y
@inf
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
1.0ms
y
@inf
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))

rewrite79.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
461×log-prod_binary64
362×prod-exp_binary64
348×exp-prod_binary64
317×pow-prod-down_binary64
285×cbrt-unprod_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
119623
2241423
Stop Event
1×node limit
Counts
3 → 73
Calls
Call 1
Inputs
(*.f64 -1/3 y)
(*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)
(*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1/6) (*.f64 y -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) y))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/3 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/3 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/27 (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 -1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 -1/3 y)) 2))) (cbrt.f64 (log.f64 (*.f64 -1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -1/3 y)))) (sqrt.f64 (log.f64 (*.f64 -1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1/3 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/27 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -1/3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/27 (pow.f64 y 3))) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 -1/3 y -1/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/3 y) z) (*.f64 -1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (*.f64 -1/3 y)) (*.f64 z -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 -1/3 y -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 -1/3 y -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 -1/3 y -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 -1/3 y -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (fma.f64 -1/3 y -1/2) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -1/27 (pow.f64 y 3) -1/8) z) (fma.f64 1/9 (*.f64 y y) (fma.f64 y -1/6 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/9 (*.f64 y y) -1/4) z) (fma.f64 -1/3 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (fma.f64 -1/27 (pow.f64 y 3) -1/8)) (fma.f64 1/9 (*.f64 y y) (fma.f64 y -1/6 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (fma.f64 1/9 (*.f64 y y) -1/4)) (fma.f64 -1/3 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -1/3 y -1/2) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 -1/3 y -1/2) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 -1/3 y -1/2) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/3 y -1/2) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/3 y -1/2) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (fma.f64 -1/3 y -1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (fma.f64 -1/3 y -1/2) z))) 2)) (cbrt.f64 (log.f64 (*.f64 (fma.f64 -1/3 y -1/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (fma.f64 -1/3 y -1/2) z)))) (sqrt.f64 (log.f64 (*.f64 (fma.f64 -1/3 y -1/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/3 y -1/2) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (fma.f64 -1/3 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/3 y -1/2) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/3 y -1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/3 y -1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 -1/3 y -1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (fma.f64 -1/3 y -1/2) z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 -1/3 y -1/2) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 -1/3 y -1/2) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 y) z (*.f64 -1/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (*.f64 -1/3 y) (*.f64 z -1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 (fma.f64 -1/3 y -1/2) z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 (fma.f64 -1/3 y -1/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 (fma.f64 -1/3 y -1/2) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 (fma.f64 -1/3 y -1/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))))) (sqrt.f64 (log.f64 (*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 (fma.f64 -1/3 y -1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (*.f64 y (fma.f64 -1/3 y -1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y (fma.f64 -1/3 y -1/2)) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (*.f64 (fma.f64 -1/3 y -1/2) z)))) 2))))))

simplify216.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
751×sqr-pow_binary64
668×fma-def_binary64
640×fabs-mul_binary64
612×pow-sqr_binary64
610×cube-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
015297
136279
280216
3151216
4369216
51223216
61965216
72841216
82951216
93086216
103258216
113501216
123816216
134188216
144645216
155232216
165944216
176802216
187228216
197542216
207850216
217930216
227964216
Stop Event
1×node limit
Counts
97 → 84
Calls
Call 1
Inputs
(*.f64 -1/2 z)
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(*.f64 -1/3 (*.f64 y z))
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(*.f64 -1/3 (*.f64 y z))
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(*.f64 -1/2 (*.f64 y z))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(*.f64 -1/3 (*.f64 (pow.f64 y 2) z))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(*.f64 -1/3 (*.f64 (pow.f64 y 2) z))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
Outputs
(*.f64 -1/2 z)
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(fma.f64 -1/2 z (*.f64 -1/3 (*.f64 z y)))
(*.f64 z (+.f64 -1/2 (*.f64 -1/3 y)))
(*.f64 z (fma.f64 -1/3 y -1/2))
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(fma.f64 -1/2 z (*.f64 -1/3 (*.f64 z y)))
(*.f64 z (+.f64 -1/2 (*.f64 -1/3 y)))
(*.f64 z (fma.f64 -1/3 y -1/2))
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(fma.f64 -1/2 z (*.f64 -1/3 (*.f64 z y)))
(*.f64 z (+.f64 -1/2 (*.f64 -1/3 y)))
(*.f64 z (fma.f64 -1/3 y -1/2))
(*.f64 -1/3 (*.f64 y z))
(*.f64 -1/3 (*.f64 z y))
(*.f64 z (*.f64 -1/3 y))
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(fma.f64 -1/2 z (*.f64 -1/3 (*.f64 z y)))
(*.f64 z (+.f64 -1/2 (*.f64 -1/3 y)))
(*.f64 z (fma.f64 -1/3 y -1/2))
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(fma.f64 -1/2 z (*.f64 -1/3 (*.f64 z y)))
(*.f64 z (+.f64 -1/2 (*.f64 -1/3 y)))
(*.f64 z (fma.f64 -1/3 y -1/2))
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(fma.f64 -1/2 z (*.f64 -1/3 (*.f64 z y)))
(*.f64 z (+.f64 -1/2 (*.f64 -1/3 y)))
(*.f64 z (fma.f64 -1/3 y -1/2))
(*.f64 -1/3 (*.f64 y z))
(*.f64 -1/3 (*.f64 z y))
(*.f64 z (*.f64 -1/3 y))
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(fma.f64 -1/2 z (*.f64 -1/3 (*.f64 z y)))
(*.f64 z (+.f64 -1/2 (*.f64 -1/3 y)))
(*.f64 z (fma.f64 -1/3 y -1/2))
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(fma.f64 -1/2 z (*.f64 -1/3 (*.f64 z y)))
(*.f64 z (+.f64 -1/2 (*.f64 -1/3 y)))
(*.f64 z (fma.f64 -1/3 y -1/2))
(+.f64 (*.f64 -1/2 z) (*.f64 -1/3 (*.f64 y z)))
(fma.f64 -1/2 z (*.f64 -1/3 (*.f64 z y)))
(*.f64 z (+.f64 -1/2 (*.f64 -1/3 y)))
(*.f64 z (fma.f64 -1/3 y -1/2))
(*.f64 -1/2 (*.f64 y z))
(*.f64 -1/2 (*.f64 z y))
(*.f64 z (*.f64 -1/2 y))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(fma.f64 -1/2 (*.f64 z y) (*.f64 (*.f64 -1/3 (*.f64 y y)) z))
(*.f64 z (+.f64 (*.f64 -1/2 y) (*.f64 (*.f64 -1/3 y) y)))
(*.f64 z (*.f64 y (fma.f64 -1/3 y -1/2)))
(*.f64 (*.f64 z y) (fma.f64 -1/3 y -1/2))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(fma.f64 -1/2 (*.f64 z y) (*.f64 (*.f64 -1/3 (*.f64 y y)) z))
(*.f64 z (+.f64 (*.f64 -1/2 y) (*.f64 (*.f64 -1/3 y) y)))
(*.f64 z (*.f64 y (fma.f64 -1/3 y -1/2)))
(*.f64 (*.f64 z y) (fma.f64 -1/3 y -1/2))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(fma.f64 -1/2 (*.f64 z y) (*.f64 (*.f64 -1/3 (*.f64 y y)) z))
(*.f64 z (+.f64 (*.f64 -1/2 y) (*.f64 (*.f64 -1/3 y) y)))
(*.f64 z (*.f64 y (fma.f64 -1/3 y -1/2)))
(*.f64 (*.f64 z y) (fma.f64 -1/3 y -1/2))
(*.f64 -1/3 (*.f64 (pow.f64 y 2) z))
(*.f64 (*.f64 -1/3 (*.f64 y y)) z)
(*.f64 z (*.f64 (*.f64 -1/3 y) y))
(*.f64 z (*.f64 y (*.f64 -1/3 y)))
(*.f64 (*.f64 z y) (*.f64 -1/3 y))
(*.f64 z (*.f64 -1/3 (*.f64 y y)))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(fma.f64 -1/2 (*.f64 z y) (*.f64 (*.f64 -1/3 (*.f64 y y)) z))
(*.f64 z (+.f64 (*.f64 -1/2 y) (*.f64 (*.f64 -1/3 y) y)))
(*.f64 z (*.f64 y (fma.f64 -1/3 y -1/2)))
(*.f64 (*.f64 z y) (fma.f64 -1/3 y -1/2))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(fma.f64 -1/2 (*.f64 z y) (*.f64 (*.f64 -1/3 (*.f64 y y)) z))
(*.f64 z (+.f64 (*.f64 -1/2 y) (*.f64 (*.f64 -1/3 y) y)))
(*.f64 z (*.f64 y (fma.f64 -1/3 y -1/2)))
(*.f64 (*.f64 z y) (fma.f64 -1/3 y -1/2))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(fma.f64 -1/2 (*.f64 z y) (*.f64 (*.f64 -1/3 (*.f64 y y)) z))
(*.f64 z (+.f64 (*.f64 -1/2 y) (*.f64 (*.f64 -1/3 y) y)))
(*.f64 z (*.f64 y (fma.f64 -1/3 y -1/2)))
(*.f64 (*.f64 z y) (fma.f64 -1/3 y -1/2))
(*.f64 -1/3 (*.f64 (pow.f64 y 2) z))
(*.f64 (*.f64 -1/3 (*.f64 y y)) z)
(*.f64 z (*.f64 (*.f64 -1/3 y) y))
(*.f64 z (*.f64 y (*.f64 -1/3 y)))
(*.f64 (*.f64 z y) (*.f64 -1/3 y))
(*.f64 z (*.f64 -1/3 (*.f64 y y)))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(fma.f64 -1/2 (*.f64 z y) (*.f64 (*.f64 -1/3 (*.f64 y y)) z))
(*.f64 z (+.f64 (*.f64 -1/2 y) (*.f64 (*.f64 -1/3 y) y)))
(*.f64 z (*.f64 y (fma.f64 -1/3 y -1/2)))
(*.f64 (*.f64 z y) (fma.f64 -1/3 y -1/2))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(fma.f64 -1/2 (*.f64 z y) (*.f64 (*.f64 -1/3 (*.f64 y y)) z))
(*.f64 z (+.f64 (*.f64 -1/2 y) (*.f64 (*.f64 -1/3 y) y)))
(*.f64 z (*.f64 y (fma.f64 -1/3 y -1/2)))
(*.f64 (*.f64 z y) (fma.f64 -1/3 y -1/2))
(+.f64 (*.f64 -1/2 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 2) z)))
(fma.f64 -1/2 (*.f64 z y) (*.f64 (*.f64 -1/3 (*.f64 y y)) z))
(*.f64 z (+.f64 (*.f64 -1/2 y) (*.f64 (*.f64 -1/3 y) y)))
(*.f64 z (*.f64 y (fma.f64 -1/3 y -1/2)))
(*.f64 (*.f64 z y) (fma.f64 -1/3 y -1/2))

localize21.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 z (log1p.f64 (neg.f64 y)))
Compiler

Compiled 16 to 7 computations (56.3% saved)

series11.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
9.0ms
z
@0
(*.f64 z (log1p.f64 (neg.f64 y)))
0.0ms
z
@inf
(*.f64 z (log1p.f64 (neg.f64 y)))
0.0ms
z
@-inf
(*.f64 z (log1p.f64 (neg.f64 y)))
0.0ms
y
@0
(*.f64 z (log1p.f64 (neg.f64 y)))
0.0ms
y
@inf
(*.f64 z (log1p.f64 (neg.f64 y)))

rewrite46.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
469×pow1_binary64
449×add-sqr-sqrt_binary64
443×*-un-lft-identity_binary64
430×add-log-exp_binary64
429×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068
11196
214396
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 z (log1p.f64 (neg.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (log1p.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (log1p.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (log1p.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (log1p.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 y 1) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (log1p.f64 y))))))))

simplify57.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
619×distribute-rgt-neg-in_binary64
593×times-frac_binary64
412×fma-neg_binary64
390×associate-*l*_binary64
343×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056401
1166356
2482335
31542329
45420329
Stop Event
1×node limit
Counts
35 → 37
Calls
Call 1
Inputs
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 4) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z)))))
(*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1/3 (/.f64 z (pow.f64 y 3))) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z))
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))
Outputs
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (*.f64 -1 (*.f64 y z)))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (neg.f64 (*.f64 z y)))
(*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (*.f64 y y))))
(*.f64 z (*.f64 y (+.f64 -1 (*.f64 y -1/2))))
(*.f64 z (fma.f64 y (*.f64 y -1/2) (neg.f64 y)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 z y) (*.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/3 (pow.f64 y 3)))))
(*.f64 z (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 y (+.f64 -1 (*.f64 y -1/2)))))
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 y 4) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/3 (*.f64 (pow.f64 y 3) z)))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/4 (*.f64 z (pow.f64 y 4)) (fma.f64 -1 (*.f64 z y) (*.f64 -1/3 (*.f64 z (pow.f64 y 3))))))
(fma.f64 -1/2 (*.f64 z (*.f64 y y)) (fma.f64 -1/4 (*.f64 z (pow.f64 y 4)) (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/3 (pow.f64 y 3))))))
(*.f64 z (+.f64 (-.f64 (*.f64 -1/3 (pow.f64 y 3)) y) (fma.f64 -1/2 (*.f64 y y) (*.f64 -1/4 (pow.f64 y 4)))))
(*.f64 z (+.f64 (*.f64 -1/4 (pow.f64 y 4)) (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y)))
(*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 z (+.f64 (log.f64 -1) (log.f64 y)))
(+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(fma.f64 -1 (/.f64 z y) (*.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y))))))
(fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (/.f64 (neg.f64 z) y))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (/.f64 z y) (*.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (/.f64 (neg.f64 z) y)))
(fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 z y)) (+.f64 (*.f64 -1/3 (/.f64 z (pow.f64 y 3))) (*.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (/.f64 z y) (fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y))))))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (-.f64 (fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (/.f64 (*.f64 z -1/3) (pow.f64 y 3))) (/.f64 z y)))
(+.f64 (*.f64 z (+.f64 (log.f64 -1) (log.f64 y))) (-.f64 (*.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2)) (/.f64 z y)))
(fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y)))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z))
(neg.f64 (*.f64 z (log.f64 (/.f64 -1 y))))
(*.f64 z (neg.f64 (log.f64 (/.f64 -1 y))))
(*.f64 z (-.f64 (log.f64 y) (log.f64 -1)))
(+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))
(fma.f64 -1 (*.f64 z (log.f64 (/.f64 -1 y))) (neg.f64 (/.f64 z y)))
(neg.f64 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)))
(*.f64 z (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y))))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 z (log.f64 (/.f64 -1 y))) (neg.f64 (/.f64 z y))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (neg.f64 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y))))
(-.f64 (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))) (*.f64 z (log.f64 (/.f64 -1 y))))
(fma.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y)) (*.f64 z (-.f64 (log.f64 y) (log.f64 -1))))
(+.f64 (*.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (*.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (*.f64 z (log.f64 (/.f64 -1 y))) (fma.f64 -1 (/.f64 z y) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 -1 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)) (/.f64 (*.f64 z -1/3) (pow.f64 y 3))))
(fma.f64 -1 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)) (*.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2)))
(-.f64 (/.f64 (*.f64 z (+.f64 -1/2 (/.f64 -1/3 y))) (*.f64 y y)) (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)))
(-.f64 (*.f64 (/.f64 z y) (/.f64 (+.f64 -1/2 (/.f64 -1/3 y)) y)) (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (log.f64 y) x)
✓0.3b
(pow.f64 (*.f64 (log.f64 y) x) 3)
✓38.5b
(cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3))
Compiler

Compiled 26 to 12 computations (53.8% saved)

series38.0ms (0.3%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
32.0ms
x
@-inf
(cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3))
1.0ms
y
@-inf
(pow.f64 (*.f64 (log.f64 y) x) 3)
1.0ms
x
@0
(pow.f64 (*.f64 (log.f64 y) x) 3)
1.0ms
y
@0
(pow.f64 (*.f64 (log.f64 y) x) 3)
1.0ms
y
@inf
(pow.f64 (*.f64 (log.f64 y) x) 3)

rewrite60.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
618×pow1_binary64
578×add-log-exp_binary64
578×log1p-expm1-u_binary64
578×expm1-log1p-u_binary64
562×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
116615
2168315
Stop Event
1×node limit
Counts
2 → 54
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3))
(pow.f64 (*.f64 (log.f64 y) x) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) (pow.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 2) (cbrt.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (sqrt.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) 1/3) (cbrt.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 y) x) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (log.f64 y) x) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 y) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 (log.f64 y) x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) (*.f64 x (pow.f64 (*.f64 (log.f64 y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (log.f64 y) (pow.f64 (*.f64 (log.f64 y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) x) (pow.f64 (*.f64 (log.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (log.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) (pow.f64 (*.f64 (log.f64 y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (*.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (pow.f64 (*.f64 (log.f64 y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (pow.f64 (log.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 y) x) 3/2) (pow.f64 (*.f64 (log.f64 y) x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 2) 3) (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 3) (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (log.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) x) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) 1) (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 2)) (cbrt.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (sqrt.f64 (*.f64 (log.f64 y) x))) (sqrt.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (log.f64 y) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (log.f64 y) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (log.f64 y) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 (log.f64 y) x))))))))

simplify67.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
824×fma-neg_binary64
437×distribute-rgt-neg-in_binary64
383×associate-+l+_binary64
355×distribute-rgt-in_binary64
355×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029460
183460
2283460
31273460
43882460
57714460
Stop Event
1×node limit
Counts
102 → 60
Calls
Call 1
Inputs
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (log.f64 y) x)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (log.f64 y) x)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (log.f64 y) x)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (log.f64 y) x)))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 3) (pow.f64 x 3)))
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 3) (pow.f64 x 3)))
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 3) (pow.f64 x 3)))
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 3) (pow.f64 x 3)))
(*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
Outputs
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (log.f64 y) x)))
(neg.f64 (*.f64 (*.f64 (log.f64 y) x) (cbrt.f64 -1)))
(*.f64 (*.f64 (log.f64 y) (cbrt.f64 -1)) (neg.f64 x))
(*.f64 (log.f64 y) (*.f64 x (neg.f64 (cbrt.f64 -1))))
(*.f64 x (*.f64 (neg.f64 (log.f64 y)) (cbrt.f64 -1)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (log.f64 y) x)))
(neg.f64 (*.f64 (*.f64 (log.f64 y) x) (cbrt.f64 -1)))
(*.f64 (*.f64 (log.f64 y) (cbrt.f64 -1)) (neg.f64 x))
(*.f64 (log.f64 y) (*.f64 x (neg.f64 (cbrt.f64 -1))))
(*.f64 x (*.f64 (neg.f64 (log.f64 y)) (cbrt.f64 -1)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (log.f64 y) x)))
(neg.f64 (*.f64 (*.f64 (log.f64 y) x) (cbrt.f64 -1)))
(*.f64 (*.f64 (log.f64 y) (cbrt.f64 -1)) (neg.f64 x))
(*.f64 (log.f64 y) (*.f64 x (neg.f64 (cbrt.f64 -1))))
(*.f64 x (*.f64 (neg.f64 (log.f64 y)) (cbrt.f64 -1)))
(*.f64 -1 (*.f64 (cbrt.f64 -1) (*.f64 (log.f64 y) x)))
(neg.f64 (*.f64 (*.f64 (log.f64 y) x) (cbrt.f64 -1)))
(*.f64 (*.f64 (log.f64 y) (cbrt.f64 -1)) (neg.f64 x))
(*.f64 (log.f64 y) (*.f64 x (neg.f64 (cbrt.f64 -1))))
(*.f64 x (*.f64 (neg.f64 (log.f64 y)) (cbrt.f64 -1)))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 3) (pow.f64 x 3)))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 3) (pow.f64 x 3)))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 3) (pow.f64 x 3)))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 -1 (*.f64 (pow.f64 (log.f64 (/.f64 1 y)) 3) (pow.f64 x 3)))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2))
✓0.3b
(*.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
✓0.5b
(pow.f64 (cbrt.f64 x) 2)
✓0.6b
(cbrt.f64 x)
Compiler

Compiled 45 to 21 computations (53.3% saved)

series67.0ms (0.6%)

Counts
4 → 36
Calls

18 calls:

TimeVariablePointExpression
51.0ms
x
@inf
(cbrt.f64 x)
5.0ms
x
@0
(pow.f64 (cbrt.f64 x) 2)
2.0ms
y
@0
(*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2))
1.0ms
x
@-inf
(*.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
1.0ms
x
@-inf
(*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2))

rewrite65.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
739×pow1_binary64
680×add-log-exp_binary64
680×log1p-expm1-u_binary64
680×expm1-log1p-u_binary64
664×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
117926
2196726
Stop Event
1×node limit
Counts
4 → 62
Calls
Call 1
Inputs
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x (*.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (log.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (log.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (log.f64 y)) 2) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y (pow.f64 (cbrt.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))))))))

simplify79.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
574×fma-neg_binary64
558×fma-def_binary64
539×unsub-neg_binary64
329×distribute-rgt-in_binary64
286×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026276
167276
2156276
3444276
41447276
53861276
67076276
Stop Event
1×node limit
Counts
98 → 69
Calls
Call 1
Inputs
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (log.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (log.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (log.f64 y))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (log.f64 y))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (log.f64 (/.f64 1 y))))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (log.f64 (/.f64 1 y))))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (log.f64 (/.f64 1 y))))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (log.f64 (/.f64 1 y))))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
Outputs
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (log.f64 y))
(*.f64 (log.f64 y) (cbrt.f64 (*.f64 x x)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (log.f64 y))
(*.f64 (log.f64 y) (cbrt.f64 (*.f64 x x)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (log.f64 y))
(*.f64 (log.f64 y) (cbrt.f64 (*.f64 x x)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (log.f64 y))
(*.f64 (log.f64 y) (cbrt.f64 (*.f64 x x)))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (log.f64 (/.f64 1 y))))
(*.f64 (log.f64 y) (cbrt.f64 (*.f64 x x)))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (log.f64 (/.f64 1 y))))
(*.f64 (log.f64 y) (cbrt.f64 (*.f64 x x)))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (log.f64 (/.f64 1 y))))
(*.f64 (log.f64 y) (cbrt.f64 (*.f64 x x)))
(*.f64 -1 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (log.f64 (/.f64 1 y))))
(*.f64 (log.f64 y) (cbrt.f64 (*.f64 x x)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(*.f64 (log.f64 y) (cbrt.f64 (*.f64 x x)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(*.f64 (log.f64 y) (cbrt.f64 (*.f64 x x)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(*.f64 (log.f64 y) (cbrt.f64 (*.f64 x x)))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(*.f64 (log.f64 y) (cbrt.f64 (*.f64 x x)))

localize49.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(pow.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 3)
0.3b
(*.f64 (log.f64 y) x)
✓2.3b
(-.f64 (pow.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 3) 1)
✓19.1b
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 (log.f64 y) x) 1) (+.f64 (*.f64 (log.f64 y) x) 1)) (+.f64 1 (*.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 1))))
Compiler

Compiled 166 to 86 computations (48.2% saved)

series16.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
y
@0
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 (log.f64 y) x) 1) (+.f64 (*.f64 (log.f64 y) x) 1)) (+.f64 1 (*.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 1))))
2.0ms
y
@-inf
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 (log.f64 y) x) 1) (+.f64 (*.f64 (log.f64 y) x) 1)) (+.f64 1 (*.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 1))))
2.0ms
y
@inf
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 (log.f64 y) x) 1) (+.f64 (*.f64 (log.f64 y) x) 1)) (+.f64 1 (*.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 1))))
2.0ms
x
@0
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 (log.f64 y) x) 1) (+.f64 (*.f64 (log.f64 y) x) 1)) (+.f64 1 (*.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 1))))
2.0ms
x
@-inf
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 (log.f64 y) x) 1) (+.f64 (*.f64 (log.f64 y) x) 1)) (+.f64 1 (*.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 1))))

rewrite109.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
739×log-prod_binary64
488×fma-neg_binary64
265×log1p-udef_binary64
264×expm1-udef_binary64
218×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01560
136059
2483859
Stop Event
1×node limit
Counts
3 → 144
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 (log.f64 y) x) 1) (+.f64 (*.f64 (log.f64 y) x) 1)) (+.f64 1 (*.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 1))))
(-.f64 (pow.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 3) 1)
(pow.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 3)
Outputs
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egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (log.f64 y) x 1) (cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 4))) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 2) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) x 1)) 2)) (cbrt.f64 (fma.f64 (log.f64 y) x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 2) (sqrt.f64 (fma.f64 (log.f64 y) x 1))) (sqrt.f64 (fma.f64 (log.f64 y) x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 (pow.f64 (*.f64 (log.f64 y) x) 3)) 3) (pow.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (-.f64 1 (*.f64 (log.f64 y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) -1) 3) (pow.f64 (fma.f64 (log.f64 y) x -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 (log.f64 y) x) 3)) (pow.f64 (fma.f64 (log.f64 y) x 1) 2)) (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (-.f64 1 (*.f64 (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) -1) (pow.f64 (fma.f64 (log.f64 y) x 1) 2)) (fma.f64 (log.f64 y) x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 2) (+.f64 1 (pow.f64 (*.f64 (log.f64 y) x) 3))) (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) (-.f64 1 (*.f64 (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 2) (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 2) -1)) (fma.f64 (log.f64 y) x -1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log1p.f64 (*.f64 (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 (log.f64 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (pow.f64 (fma.f64 (log.f64 y) x 1) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (fma.f64 (log.f64 y) x 1) 3)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 (log.f64 y) x 1) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 (log.f64 y) x 1) 3)))) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 (log.f64 y) x 1) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (fma.f64 (log.f64 y) x 1) 3/2)) (hypot.f64 1 (pow.f64 (fma.f64 (log.f64 y) x 1) 3/2)) -1)))))

simplify73.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
815×fma-def_binary64
674×associate-*l*_binary64
658×associate-*r*_binary64
432×distribute-rgt-in_binary64
423×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01242296
14312064
215601835
Stop Event
1×node limit
Counts
216 → 191
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3) 1) (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 2) (+.f64 2 (*.f64 (log.f64 y) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3) 1) (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 2) (+.f64 2 (*.f64 (log.f64 y) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3) 1) (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 2) (+.f64 2 (*.f64 (log.f64 y) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3) 1) (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 2) (+.f64 2 (*.f64 (log.f64 y) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 3) 1) (+.f64 2 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 2) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 3) 1) (+.f64 2 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 2) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 3) 1) (+.f64 2 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 2) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 3) 1) (+.f64 2 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 2) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 2 (pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 2 (pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 2 (pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 2 (pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 2))))
(*.f64 1/3 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x))
(+.f64 (*.f64 1/3 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x)) (*.f64 (-.f64 (*.f64 1/3 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2)))) (*.f64 1/9 (pow.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) 2))) (pow.f64 x 2)))
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (pow.f64 (log.f64 y) 3)) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (log.f64 y) 2) (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)))) (*.f64 1/3 (*.f64 (-.f64 (*.f64 1/3 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2)))) (*.f64 1/9 (pow.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) 2))) (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)))))) (pow.f64 x 3)) (+.f64 (*.f64 1/3 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x)) (*.f64 (-.f64 (*.f64 1/3 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2)))) (*.f64 1/9 (pow.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) 2))) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (pow.f64 (log.f64 y) 3)) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (log.f64 y) 2) (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)))) (*.f64 1/3 (*.f64 (-.f64 (*.f64 1/3 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2)))) (*.f64 1/9 (pow.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) 2))) (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)))))) (pow.f64 x 3)) (+.f64 (*.f64 1/3 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x)) (+.f64 (*.f64 (-.f64 (*.f64 1/3 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2)))) (*.f64 1/9 (pow.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) 2))) (pow.f64 x 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 1/3 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2)))) (*.f64 1/9 (pow.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) 2))) (pow.f64 (log.f64 y) 2))) (*.f64 1/3 (*.f64 (-.f64 (*.f64 1/3 (pow.f64 (log.f64 y) 3)) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (log.f64 y) 2) (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)))) (*.f64 1/3 (*.f64 (-.f64 (*.f64 1/3 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2)))) (*.f64 1/9 (pow.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) 2))) (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)))))) (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y))))) (pow.f64 x 4))))))
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(-.f64 (+.f64 3 (*.f64 (log.f64 y) x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (log.f64 y)) (*.f64 -1 (log.f64 y))) (log.f64 y))))
(-.f64 (+.f64 3 (+.f64 (*.f64 (log.f64 y) x) (/.f64 (*.f64 (-.f64 3 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 y)) (*.f64 -2 (log.f64 y))) (log.f64 y)))) (+.f64 (*.f64 -2 (log.f64 y)) (*.f64 -1 (log.f64 y)))) (*.f64 (pow.f64 (log.f64 y) 2) x)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (log.f64 y)) (*.f64 -1 (log.f64 y))) (log.f64 y))))
(-.f64 (+.f64 3 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 3 (/.f64 (-.f64 3 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 y)) (*.f64 -2 (log.f64 y))) (log.f64 y)))) (pow.f64 (log.f64 y) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -2 (log.f64 y)) (*.f64 -1 (log.f64 y))) (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (*.f64 -2 (log.f64 y))) (-.f64 3 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (log.f64 y)) (*.f64 -1 (log.f64 y))) (log.f64 y)))))) (pow.f64 (log.f64 y) 4)))) (pow.f64 x 2))) (+.f64 (*.f64 (log.f64 y) x) (/.f64 (*.f64 (-.f64 3 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 y)) (*.f64 -2 (log.f64 y))) (log.f64 y)))) (+.f64 (*.f64 -2 (log.f64 y)) (*.f64 -1 (log.f64 y)))) (*.f64 (pow.f64 (log.f64 y) 2) x))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (log.f64 y)) (*.f64 -1 (log.f64 y))) (log.f64 y))))
(-.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3) 1)
(-.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3) 1)
(-.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3) 1)
(-.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3) 1)
(-.f64 (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 3) 1)
(-.f64 (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 3) 1)
(-.f64 (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 3) 1)
(-.f64 (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 3) 1)
(-.f64 (pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 3) 1)
(-.f64 (pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 3) 1)
(-.f64 (pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 3) 1)
(-.f64 (pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 3) 1)
(*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x)
(+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x) (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)))
(+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x) (+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))
(+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x) (+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))
(+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x) (+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))
(+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x) (+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (*.f64 -2 (log.f64 y))) x)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (*.f64 -2 (log.f64 y))) x)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))
(pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3)
(pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3)
(pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3)
(pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3)
(pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 3)
(pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 3)
(pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 3)
(pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 3)
(pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 3)
(pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 3)
(pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 3)
(pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 3)
1
(+.f64 1 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x))
(+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x) (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x) (+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))
(+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x) (+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))
(+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x) (+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (*.f64 -2 (log.f64 y))) x)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))
(+.f64 1 (+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (*.f64 -2 (log.f64 y))) x)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))
Outputs
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3) 1) (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 2) (+.f64 2 (*.f64 (log.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 2) (+.f64 (*.f64 (log.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 2) (fma.f64 (log.f64 y) x 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 3) -1) (+.f64 (fma.f64 (log.f64 y) x 2) (pow.f64 (fma.f64 (log.f64 y) x 1) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3) 1) (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 2) (+.f64 2 (*.f64 (log.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 2) (+.f64 (*.f64 (log.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 2) (fma.f64 (log.f64 y) x 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 3) -1) (+.f64 (fma.f64 (log.f64 y) x 2) (pow.f64 (fma.f64 (log.f64 y) x 1) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3) 1) (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 2) (+.f64 2 (*.f64 (log.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 2) (+.f64 (*.f64 (log.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 2) (fma.f64 (log.f64 y) x 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 3) -1) (+.f64 (fma.f64 (log.f64 y) x 2) (pow.f64 (fma.f64 (log.f64 y) x 1) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3) 1) (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 2) (+.f64 2 (*.f64 (log.f64 y) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 2) (+.f64 (*.f64 (log.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 2) (fma.f64 (log.f64 y) x 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 3) -1) (+.f64 (fma.f64 (log.f64 y) x 2) (pow.f64 (fma.f64 (log.f64 y) x 1) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 3) 1) (+.f64 2 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 2) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 2) (+.f64 (*.f64 (log.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 2) (fma.f64 (log.f64 y) x 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 3) -1) (+.f64 (fma.f64 (log.f64 y) x 2) (pow.f64 (fma.f64 (log.f64 y) x 1) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 3) 1) (+.f64 2 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 2) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 2) (+.f64 (*.f64 (log.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 2) (fma.f64 (log.f64 y) x 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 3) -1) (+.f64 (fma.f64 (log.f64 y) x 2) (pow.f64 (fma.f64 (log.f64 y) x 1) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 3) 1) (+.f64 2 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 2) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 2) (+.f64 (*.f64 (log.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 2) (fma.f64 (log.f64 y) x 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 3) -1) (+.f64 (fma.f64 (log.f64 y) x 2) (pow.f64 (fma.f64 (log.f64 y) x 1) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 3) 1) (+.f64 2 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 2) (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 2) (+.f64 (*.f64 (log.f64 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 2) (fma.f64 (log.f64 y) x 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 3) -1) (+.f64 (fma.f64 (log.f64 y) x 2) (pow.f64 (fma.f64 (log.f64 y) x 1) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 2 (pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) 3) -1) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (+.f64 2 (pow.f64 (+.f64 1 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1) 3)) (+.f64 (pow.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1) 2) (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 2 (pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) 3) -1) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (+.f64 2 (pow.f64 (+.f64 1 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1) 3)) (+.f64 (pow.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1) 2) (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 2 (pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) 3) -1) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (+.f64 2 (pow.f64 (+.f64 1 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1) 3)) (+.f64 (pow.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1) 2) (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 2 (pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) 3) -1) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (+.f64 2 (pow.f64 (+.f64 1 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1) 3)) (+.f64 (pow.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1) 2) (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 2)))
(*.f64 1/3 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x))
(*.f64 (*.f64 1/3 (*.f64 3 (log.f64 y))) x)
(*.f64 x (*.f64 1 (log.f64 y)))
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 1/3 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x)) (*.f64 (-.f64 (*.f64 1/3 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2)))) (*.f64 1/9 (pow.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) 2))) (pow.f64 x 2)))
(fma.f64 1/3 (*.f64 x (*.f64 3 (log.f64 y))) (*.f64 (+.f64 (*.f64 1/3 (*.f64 3 (pow.f64 (log.f64 y) 2))) (*.f64 -1/9 (pow.f64 (*.f64 3 (log.f64 y)) 2))) (*.f64 x x)))
(fma.f64 (+.f64 (*.f64 1 (pow.f64 (log.f64 y) 2)) (*.f64 (*.f64 9 (pow.f64 (log.f64 y) 2)) -1/9)) (*.f64 x x) (*.f64 x (*.f64 1 (log.f64 y))))
(*.f64 x (+.f64 (log.f64 y) (*.f64 (-.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (log.f64 y) 2)) x)))
(+.f64 (*.f64 (-.f64 (*.f64 1/3 (pow.f64 (log.f64 y) 3)) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (log.f64 y) 2) (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)))) (*.f64 1/3 (*.f64 (-.f64 (*.f64 1/3 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2)))) (*.f64 1/9 (pow.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) 2))) (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)))))) (pow.f64 x 3)) (+.f64 (*.f64 1/3 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x)) (*.f64 (-.f64 (*.f64 1/3 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2)))) (*.f64 1/9 (pow.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) 2))) (pow.f64 x 2))))
(fma.f64 (-.f64 (*.f64 1/3 (pow.f64 (log.f64 y) 3)) (fma.f64 1/9 (*.f64 (*.f64 3 (log.f64 y)) (pow.f64 (log.f64 y) 2)) (*.f64 1/3 (*.f64 (*.f64 3 (log.f64 y)) (+.f64 (*.f64 1/3 (*.f64 3 (pow.f64 (log.f64 y) 2))) (*.f64 -1/9 (pow.f64 (*.f64 3 (log.f64 y)) 2))))))) (pow.f64 x 3) (fma.f64 1/3 (*.f64 x (*.f64 3 (log.f64 y))) (*.f64 (+.f64 (*.f64 1/3 (*.f64 3 (pow.f64 (log.f64 y) 2))) (*.f64 -1/9 (pow.f64 (*.f64 3 (log.f64 y)) 2))) (*.f64 x x))))
(fma.f64 (-.f64 (*.f64 1/3 (pow.f64 (log.f64 y) 3)) (fma.f64 1/9 (*.f64 3 (pow.f64 (log.f64 y) 3)) (*.f64 (+.f64 (*.f64 1 (pow.f64 (log.f64 y) 2)) (*.f64 (*.f64 9 (pow.f64 (log.f64 y) 2)) -1/9)) (*.f64 1 (log.f64 y))))) (pow.f64 x 3) (fma.f64 (+.f64 (*.f64 1 (pow.f64 (log.f64 y) 2)) (*.f64 (*.f64 9 (pow.f64 (log.f64 y) 2)) -1/9)) (*.f64 x x) (*.f64 x (*.f64 1 (log.f64 y)))))
(fma.f64 (log.f64 y) x (*.f64 (*.f64 x x) (+.f64 (-.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (log.f64 y) 2)) (*.f64 (-.f64 (fma.f64 1/3 (pow.f64 (log.f64 y) 3) (*.f64 -1/3 (pow.f64 (log.f64 y) 3))) (+.f64 (pow.f64 (log.f64 y) 3) (neg.f64 (pow.f64 (log.f64 y) 3)))) x))))
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(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (*.f64 -2 (log.f64 y))) x)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))
(fma.f64 (*.f64 3 (log.f64 y)) x (fma.f64 (*.f64 3 (pow.f64 (log.f64 y) 2)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))
(fma.f64 x (*.f64 (log.f64 y) 3) (fma.f64 (*.f64 3 (pow.f64 (log.f64 y) 2)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))
(fma.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3) (*.f64 3 (*.f64 (log.f64 y) (*.f64 x (fma.f64 (log.f64 y) x 1)))))
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (*.f64 -2 (log.f64 y))) x)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))
(fma.f64 (*.f64 3 (log.f64 y)) x (fma.f64 (*.f64 3 (pow.f64 (log.f64 y) 2)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))
(fma.f64 x (*.f64 (log.f64 y) 3) (fma.f64 (*.f64 3 (pow.f64 (log.f64 y) 2)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))
(fma.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3) (*.f64 3 (*.f64 (log.f64 y) (*.f64 x (fma.f64 (log.f64 y) x 1)))))
(pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3)
(pow.f64 (fma.f64 (log.f64 y) x 1) 3)
(pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3)
(pow.f64 (fma.f64 (log.f64 y) x 1) 3)
(pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3)
(pow.f64 (fma.f64 (log.f64 y) x 1) 3)
(pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3)
(pow.f64 (fma.f64 (log.f64 y) x 1) 3)
(pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 3)
(pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3)
(pow.f64 (fma.f64 (log.f64 y) x 1) 3)
(pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 3)
(pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3)
(pow.f64 (fma.f64 (log.f64 y) x 1) 3)
(pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 3)
(pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3)
(pow.f64 (fma.f64 (log.f64 y) x 1) 3)
(pow.f64 (+.f64 1 (*.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 3)
(pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3)
(pow.f64 (fma.f64 (log.f64 y) x 1) 3)
(pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 3)
(pow.f64 (+.f64 1 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) 3)
(pow.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1) 3)
(pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 3)
(pow.f64 (+.f64 1 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) 3)
(pow.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1) 3)
(pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 3)
(pow.f64 (+.f64 1 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) 3)
(pow.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1) 3)
(pow.f64 (+.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) 3)
(pow.f64 (+.f64 1 (*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) 3)
(pow.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) 1) 3)
1
(+.f64 1 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x))
(+.f64 1 (*.f64 x (*.f64 3 (log.f64 y))))
(fma.f64 x (*.f64 (log.f64 y) 3) 1)
(fma.f64 3 (*.f64 (log.f64 y) x) 1)
(+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x) (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2))))
(+.f64 1 (fma.f64 (*.f64 3 (log.f64 y)) x (*.f64 (*.f64 3 (pow.f64 (log.f64 y) 2)) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 3 (pow.f64 (log.f64 y) 2)) (*.f64 x x)) (fma.f64 x (*.f64 (log.f64 y) 3) 1))
(+.f64 1 (*.f64 3 (*.f64 (log.f64 y) (*.f64 x (fma.f64 (log.f64 y) x 1)))))
(+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x) (+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))
(+.f64 1 (fma.f64 (*.f64 3 (log.f64 y)) x (fma.f64 (*.f64 3 (pow.f64 (log.f64 y) 2)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))
(+.f64 (fma.f64 (*.f64 3 (pow.f64 (log.f64 y) 2)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (fma.f64 x (*.f64 (log.f64 y) 3) 1))
(+.f64 (*.f64 3 (*.f64 (log.f64 y) (*.f64 x (fma.f64 (log.f64 y) x 1)))) (fma.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3) 1))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))
(fma.f64 (*.f64 3 (pow.f64 (log.f64 y) 2)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))
(*.f64 (pow.f64 (log.f64 y) 2) (+.f64 (*.f64 (pow.f64 x 3) (log.f64 y)) (*.f64 (*.f64 x x) 3)))
(+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x) (+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))
(fma.f64 (*.f64 3 (log.f64 y)) x (fma.f64 (*.f64 3 (pow.f64 (log.f64 y) 2)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))
(fma.f64 x (*.f64 (log.f64 y) 3) (fma.f64 (*.f64 3 (pow.f64 (log.f64 y) 2)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))
(fma.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3) (*.f64 3 (*.f64 (log.f64 y) (*.f64 x (fma.f64 (log.f64 y) x 1)))))
(+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x) (+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))
(+.f64 1 (fma.f64 (*.f64 3 (log.f64 y)) x (fma.f64 (*.f64 3 (pow.f64 (log.f64 y) 2)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))
(+.f64 (fma.f64 (*.f64 3 (pow.f64 (log.f64 y) 2)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (fma.f64 x (*.f64 (log.f64 y) 3) 1))
(+.f64 (*.f64 3 (*.f64 (log.f64 y) (*.f64 x (fma.f64 (log.f64 y) x 1)))) (fma.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3) 1))
(*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))
(fma.f64 (*.f64 3 (pow.f64 (log.f64 y) 2)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))
(*.f64 (pow.f64 (log.f64 y) 2) (+.f64 (*.f64 (pow.f64 x 3) (log.f64 y)) (*.f64 (*.f64 x x) 3)))
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (*.f64 -2 (log.f64 y))) x)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))
(fma.f64 (*.f64 3 (log.f64 y)) x (fma.f64 (*.f64 3 (pow.f64 (log.f64 y) 2)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))
(fma.f64 x (*.f64 (log.f64 y) 3) (fma.f64 (*.f64 3 (pow.f64 (log.f64 y) 2)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))
(fma.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3) (*.f64 3 (*.f64 (log.f64 y) (*.f64 x (fma.f64 (log.f64 y) x 1)))))
(+.f64 1 (+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 y) 2) (*.f64 2 (pow.f64 (log.f64 y) 2))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 y)) (*.f64 -2 (log.f64 y))) x)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))
(+.f64 1 (fma.f64 (*.f64 3 (log.f64 y)) x (fma.f64 (*.f64 3 (pow.f64 (log.f64 y) 2)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))
(+.f64 (fma.f64 (*.f64 3 (pow.f64 (log.f64 y) 2)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (fma.f64 x (*.f64 (log.f64 y) 3) 1))
(+.f64 (*.f64 3 (*.f64 (log.f64 y) (*.f64 x (fma.f64 (log.f64 y) x 1)))) (fma.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3) 1))

eval309.0ms (2.8%)

Compiler

Compiled 16456 to 9282 computations (43.6% saved)

prune129.0ms (1.2%)

Pruning

22 alts after pruning (16 fresh and 6 done)

PrunedKeptTotal
New55111562
Fresh8513
Picked101
Done167
Total56122583
Error
0.0b
Counts
583 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
25.0b
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
✓54.7b
(cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3))
38.5b
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)))
13.4b
(-.f64 (*.f64 1/3 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x)) t)
50.1b
(*.f64 y (neg.f64 z))
12.7b
(-.f64 (+.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4)))) (cbrt.f64 (log.f64 y))) (*.f64 z (log.f64 (-.f64 1 y)))) t)
50.0b
(pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)
44.0b
(-.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3/2)) 2) (*.f64 z (log.f64 (-.f64 1 y)))) t)
38.6b
(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)
✓37.8b
(neg.f64 t)
12.5b
(-.f64 (+.f64 (*.f64 (*.f64 x (pow.f64 (pow.f64 (log.f64 y) 2) 1/3)) (cbrt.f64 (log.f64 y))) (*.f64 z (log.f64 (-.f64 1 y)))) t)
28.7b
(-.f64 (*.f64 (*.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) t)
✓0.4b
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 y (-.f64 (*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)) z))) t)
0.8b
(-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 y z) t))
34.8b
(-.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3) 1) (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 2) (+.f64 2 (*.f64 (log.f64 y) x)))) t)
21.9b
(-.f64 (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 x)) t)
52.2b
(*.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
✓49.4b
(*.f64 z (log1p.f64 (neg.f64 y)))
✓38.1b
(*.f64 (log.f64 y) x)
49.7b
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y))
✓13.3b
(-.f64 (*.f64 (log.f64 y) x) t)
38.5b
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))
Compiler

Compiled 342 to 242 computations (29.2% saved)

regimes280.0ms (2.5%)

Counts
51 → 1
Calls
Call 1
Inputs
(neg.f64 t)
(*.f64 y (neg.f64 z))
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y))
(*.f64 (log.f64 y) x)
(*.f64 z (log1p.f64 (neg.f64 y)))
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 y z) t))
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 y (-.f64 (*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)) z))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
(-.f64 (*.f64 1/3 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x)) t)
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 y (-.f64 (*.f64 y (*.f64 z (fma.f64 y -1/3 -1/2))) z))) t)
(expm1.f64 (log1p.f64 (*.f64 (log.f64 y) x)))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)
(cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3))
(*.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 y) x))) t)
(-.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) t)
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) t)
(-.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3)) t)
(-.f64 (*.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
(-.f64 (*.f64 (*.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) t)
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y))))) t)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)))
(-.f64 (*.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) t)
(-.f64 (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 x)) t)
(-.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 x (log.f64 y)))) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 3) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))
(-.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y))) t)
(-.f64 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3/2)) 2) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/4) 2) 2) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 3) 1) (+.f64 (pow.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 2) (+.f64 2 (*.f64 (log.f64 y) x)))) t)
(-.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 (log.f64 y) x) 1) (+.f64 (*.f64 (log.f64 y) x) 1)) (+.f64 1 (*.f64 (+.f64 (*.f64 (log.f64 y) x) 1) 1)))) t)
(-.f64 (+.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (sqrt.f64 x))) 3) (sqrt.f64 x)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y))) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (*.f64 x (pow.f64 (pow.f64 (log.f64 y) 2) 1/3)) (cbrt.f64 (log.f64 y))) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x (log.f64 y)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 x (log.f64 y)) 1) (+.f64 (*.f64 x (log.f64 y)) 1)) (+.f64 1 (*.f64 (+.f64 (*.f64 x (log.f64 y)) 1) 1)))) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (*.f64 x (pow.f64 (*.f64 (pow.f64 (*.f64 1 (log.f64 (/.f64 1 y))) 1/3) (cbrt.f64 -1)) 2)) (cbrt.f64 (log.f64 y))) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (cbrt.f64 (*.f64 x (log.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 y))))) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(*.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))) (cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) (pow.f64 (-.f64 (*.f64 x (log.f64 y)) t) 3)) (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (-.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) t) 2) (*.f64 (*.f64 z (log1p.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t)))))
(-.f64 (+.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 4)))) (cbrt.f64 (log.f64 y))) (*.f64 z (log.f64 (-.f64 1 y)))) t)
Outputs
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
Calls

7 calls:

61.0ms
y
49.0ms
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
37.0ms
z
31.0ms
x
28.0ms
(+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y))))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1t
0.1b1(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
0.1b1(+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y))))
0.1b1(+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y))))
Compiler

Compiled 844 to 416 computations (50.7% saved)

regimes191.0ms (1.7%)

Counts
24 → 1
Calls
Call 1
Inputs
(neg.f64 t)
(*.f64 y (neg.f64 z))
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y))
(*.f64 (log.f64 y) x)
(*.f64 z (log1p.f64 (neg.f64 y)))
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 y z) t))
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 y (-.f64 (*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)) z))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
(-.f64 (*.f64 1/3 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (log.f64 y)) x)) t)
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 y (-.f64 (*.f64 y (*.f64 z (fma.f64 y -1/3 -1/2))) z))) t)
(expm1.f64 (log1p.f64 (*.f64 (log.f64 y) x)))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)
(cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3))
(*.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 y) x))) t)
(-.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2) t)
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3) t)
(-.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3)) t)
(-.f64 (*.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) t)
Outputs
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 y (-.f64 (*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)) z))) t)
Calls

7 calls:

49.0ms
y
19.0ms
x
16.0ms
(+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y))))
14.0ms
(+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y))))
14.0ms
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
Results
ErrorSegmentsBranch
0.4b1x
0.4b1y
0.4b1z
0.4b1t
0.4b1(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
0.4b1(+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y))))
0.4b1(+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y))))
Compiler

Compiled 281 to 138 computations (50.9% saved)

regimes25.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
(neg.f64 t)
(*.f64 y (neg.f64 z))
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y))
(*.f64 (log.f64 y) x)
(*.f64 z (log1p.f64 (neg.f64 y)))
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 y z) t))
Outputs
(-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 y z) t))
Calls

4 calls:

6.0ms
t
6.0ms
y
5.0ms
x
5.0ms
z
Results
ErrorSegmentsBranch
0.8b1x
0.8b1y
0.8b1z
0.8b1t
Compiler

Compiled 68 to 40 computations (41.2% saved)

regimes100.0ms (0.9%)

Counts
6 → 3
Calls
Call 1
Inputs
(neg.f64 t)
(*.f64 y (neg.f64 z))
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y))
(*.f64 (log.f64 y) x)
(*.f64 z (log1p.f64 (neg.f64 y)))
(-.f64 (*.f64 (log.f64 y) x) t)
Outputs
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y))
(-.f64 (*.f64 (log.f64 y) x) t)
(*.f64 y (neg.f64 z))
Calls

4 calls:

50.0ms
y
31.0ms
z
10.0ms
x
6.0ms
t
Results
ErrorSegmentsBranch
13.3b1x
13.3b1y
9.2b3z
13.3b1t
Compiler

Compiled 58 to 37 computations (36.2% saved)

bsearch250.0ms (2.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
98.0ms
2.37027097648067e+212
1.2128902266239744e+219
151.0ms
-1.9867304612089576e+204
-1.1156047244006213e+194
Compiler

Compiled 24 to 18 computations (25% saved)

regimes183.0ms (1.6%)

Counts
5 → 3
Calls
Call 1
Inputs
(neg.f64 t)
(*.f64 y (neg.f64 z))
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y))
(*.f64 (log.f64 y) x)
(*.f64 z (log1p.f64 (neg.f64 y)))
Outputs
(*.f64 (log.f64 y) x)
(neg.f64 t)
(*.f64 (log.f64 y) x)
Calls

4 calls:

57.0ms
z
50.0ms
y
48.0ms
t
24.0ms
x
Results
ErrorSegmentsBranch
21.9b3x
26.6b11y
24.8b11z
22.5b6t
Compiler

Compiled 52 to 36 computations (30.8% saved)

bsearch206.0ms (1.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
98.0ms
8.162252030482159e+50
5.353859902753238e+57
107.0ms
-9.261085828008514e-20
-3.3699818147573546e-23
Compiler

Compiled 24 to 18 computations (25% saved)

regimes94.0ms (0.8%)

Counts
3 → 3
Calls
Call 1
Inputs
(neg.f64 t)
(*.f64 y (neg.f64 z))
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y))
Outputs
(neg.f64 t)
(*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y))
(neg.f64 t)
Calls

4 calls:

31.0ms
z
26.0ms
y
25.0ms
t
10.0ms
x
Results
ErrorSegmentsBranch
37.8b1x
36.3b3y
32.5b3z
29.5b3t
Compiler

Compiled 43 to 31 computations (27.9% saved)

bsearch262.0ms (2.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
154.0ms
5.234333308562874e-31
1.474920137557557e-28
107.0ms
-6.156134865718325e-58
-9.353919129892658e-61
Compiler

Compiled 24 to 18 computations (25% saved)

regimes113.0ms (1%)

Accuracy

Total -32.4b remaining (-108.6%)

Threshold costs -32.4b (-108.6%)

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

4 calls:

64.0ms
z
20.0ms
t
19.0ms
y
7.0ms
x
Results
ErrorSegmentsBranch
37.8b1x
36.3b3y
32.8b3z
29.8b3t
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch350.0ms (3.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
150.0ms
5.234333308562874e-31
1.474920137557557e-28
200.0ms
-6.156134865718325e-58
-9.353919129892658e-61
Compiler

Compiled 24 to 18 computations (25% saved)

simplify23.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
14×*-commutative_binary64
13×+-commutative_binary64
12×sub-neg_binary64
5×neg-sub0_binary64
5×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057199
189199
2108199
3117199
4119199
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 y (-.f64 (*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)) z))) t)
(-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 y z) t))
(if (<=.f64 z -1986730461208957552007731589724983972681921735465184675908907265604546159340992512318902093067981043698999197117716073194230851503629388163108147529464443585652242812154214446655297958770833064288673857536) (*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y)) (if (<=.f64 z 237027097648066993383372881203373942063455943341996003710885451410420683074436238885316583817192964390460628348008441307696845058514930705462208998308864532792776640749430462703789928942397259276027447748434329600) (-.f64 (*.f64 (log.f64 y) x) t) (*.f64 y (neg.f64 z))))
(if (<=.f64 x -7693809096222403/83076749736557242056487941267521536) (*.f64 (log.f64 y) x) (if (<=.f64 x 816225203048215889420656576270270972672640299302912) (neg.f64 t) (*.f64 (log.f64 y) x)))
(if (<=.f64 t -8701559054299437/14134776518227074636666380005943348126619871175004951664972849610340958208) (neg.f64 t) (if (<=.f64 t 764998670080032256/1461501637330902918203684832716283019655932542976) (*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y)) (neg.f64 t)))
(if (<=.f64 t -8701559054299437/14134776518227074636666380005943348126619871175004951664972849610340958208) (neg.f64 t) (if (<=.f64 t 764998670080032256/1461501637330902918203684832716283019655932542976) (*.f64 y (neg.f64 z)) (neg.f64 t)))
(neg.f64 t)
Outputs
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 y (-.f64 (*.f64 y (*.f64 (-.f64 (*.f64 -1/3 y) 1/2) z)) z))) t)
(-.f64 (+.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 z (+.f64 (*.f64 y -1/3) -1/2))) z)) (*.f64 x (log.f64 y))) t)
(-.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 y z) t))
(-.f64 (*.f64 x (log.f64 y)) (+.f64 t (*.f64 z y)))
(if (<=.f64 z -1986730461208957552007731589724983972681921735465184675908907265604546159340992512318902093067981043698999197117716073194230851503629388163108147529464443585652242812154214446655297958770833064288673857536) (*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y)) (if (<=.f64 z 237027097648066993383372881203373942063455943341996003710885451410420683074436238885316583817192964390460628348008441307696845058514930705462208998308864532792776640749430462703789928942397259276027447748434329600) (-.f64 (*.f64 (log.f64 y) x) t) (*.f64 y (neg.f64 z))))
(if (<=.f64 z -1986730461208957552007731589724983972681921735465184675908907265604546159340992512318902093067981043698999197117716073194230851503629388163108147529464443585652242812154214446655297958770833064288673857536) (*.f64 z (-.f64 (*.f64 (+.f64 (*.f64 y -1/3) -1/2) (*.f64 y y)) y)) (if (<=.f64 z 237027097648066993383372881203373942063455943341996003710885451410420683074436238885316583817192964390460628348008441307696845058514930705462208998308864532792776640749430462703789928942397259276027447748434329600) (-.f64 (*.f64 x (log.f64 y)) t) (*.f64 y (neg.f64 z))))
(if (<=.f64 x -7693809096222403/83076749736557242056487941267521536) (*.f64 (log.f64 y) x) (if (<=.f64 x 816225203048215889420656576270270972672640299302912) (neg.f64 t) (*.f64 (log.f64 y) x)))
(if (<=.f64 x -7693809096222403/83076749736557242056487941267521536) (*.f64 x (log.f64 y)) (if (<=.f64 x 816225203048215889420656576270270972672640299302912) (neg.f64 t) (*.f64 x (log.f64 y))))
(if (<=.f64 t -8701559054299437/14134776518227074636666380005943348126619871175004951664972849610340958208) (neg.f64 t) (if (<=.f64 t 764998670080032256/1461501637330902918203684832716283019655932542976) (*.f64 z (-.f64 (*.f64 (*.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y)) (neg.f64 t)))
(if (<=.f64 t -8701559054299437/14134776518227074636666380005943348126619871175004951664972849610340958208) (neg.f64 t) (if (<=.f64 t 1494138027500063/2854495385411919762116571938898990272765493248) (*.f64 z (-.f64 (*.f64 (+.f64 (*.f64 y -1/3) -1/2) (*.f64 y y)) y)) (neg.f64 t)))
(if (<=.f64 t -8701559054299437/14134776518227074636666380005943348126619871175004951664972849610340958208) (neg.f64 t) (if (<=.f64 t 764998670080032256/1461501637330902918203684832716283019655932542976) (*.f64 y (neg.f64 z)) (neg.f64 t)))
(if (<=.f64 t -8701559054299437/14134776518227074636666380005943348126619871175004951664972849610340958208) (neg.f64 t) (if (<=.f64 t 1494138027500063/2854495385411919762116571938898990272765493248) (*.f64 y (neg.f64 z)) (neg.f64 t)))
(neg.f64 t)
Compiler

Compiled 165 to 108 computations (34.5% saved)

soundness170.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
821×fma-neg_binary64
314×fma-def_binary64
173×distribute-rgt-in_binary64
134×unsub-neg_binary64
124×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01318
12517
24617
37517
412317
520017
637617
771917
8127817
9203017
10271317
11298917
12300517
13300517
Stop Event
1×saturated
Compiler

Compiled 136 to 96 computations (29.4% saved)

end183.0ms (1.6%)

Compiler

Compiled 137 to 65 computations (52.6% saved)

Profiling

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