Details

Time bar (total: 10.8s)

analyze444.0ms (4.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%81.1%0.1%0%18.7%0%6
0%0%81.1%0.1%0%18.7%0%7
12%9.4%68.6%0.1%0%21.8%0%8
20.9%14%53%0.1%0%32.8%0%9
24.4%16.4%50.7%0.1%0%32.8%0%10
38%24.6%40.2%0.1%0%35.1%0%11
48.7%28.7%30.2%0.1%0%41%0%12
Compiler

Compiled 41 to 24 computations (41.5% saved)

sample2.3s (21.7%)

Results
2.0s8256×body256valid
291.0ms1476×body256invalid
Bogosity

preprocess76.0ms (0.7%)

Algorithm
egg-herbie
Rules
632×associate-/l*_binary64
519×fma-neg_binary64
473×associate-/r*_binary64
432×div-sub_binary64
371×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054208
1165200
2545200
31766192
45046192
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (+.f64 (neg.f64 h) (sqrt.f64 (-.f64 (*.f64 h h) (*.f64 g g)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 h) (sqrt.f64 (-.f64 (*.f64 h h) (*.f64 g g)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 g)) (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 g)) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 h h)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 h)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 a a)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 h)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 a a)))))))
Outputs
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (fma.f64 g g (*.f64 h (neg.f64 h)))) g))) (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (fma.f64 g g (*.f64 h (neg.f64 h))))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (+.f64 (neg.f64 h) (sqrt.f64 (-.f64 (*.f64 h h) (*.f64 g g)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 h) (sqrt.f64 (-.f64 (*.f64 h h) (*.f64 g g)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (+.f64 (neg.f64 h) (sqrt.f64 (-.f64 (*.f64 h h) (*.f64 g g)))))) (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (neg.f64 h) (sqrt.f64 (-.f64 (*.f64 h h) (*.f64 g g)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 h h) (*.f64 g g))) h))) (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (neg.f64 h) (sqrt.f64 (-.f64 (*.f64 h h) (*.f64 g g)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 h h) (*.f64 g g))) h))) (cbrt.f64 (*.f64 (+.f64 h (sqrt.f64 (-.f64 (*.f64 h h) (*.f64 g g)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 g)) (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 g)) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 h h)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 g) (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1/2 g) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 h h)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 g) (-.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 h h))) a))) (cbrt.f64 (*.f64 (/.f64 1/2 g) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 h h)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 g) (-.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 h h))) a))) (cbrt.f64 (neg.f64 (/.f64 (+.f64 a (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 h h)))) (*.f64 2 g)))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 g) (-.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 h h))) a))) (cbrt.f64 (*.f64 (+.f64 a (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 h h)))) (/.f64 -1/2 g))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 h)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 a a)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 h)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 a a)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 h) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 a a)))))) (cbrt.f64 (*.f64 (/.f64 1/2 h) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 a a)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 h) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 a a))) g))) (cbrt.f64 (*.f64 (/.f64 1/2 h) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 a a)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 h) (-.f64 (sqrt.f64 (fma.f64 g g (*.f64 a (neg.f64 a)))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (fma.f64 g g (*.f64 a (neg.f64 a))))) (/.f64 -1/2 h))))
Compiler

Compiled 43 to 26 computations (39.5% saved)

simplify128.0ms (1.2%)

Algorithm
egg-herbie
Rules
729×fma-neg_binary64
529×unsub-neg_binary64
480×div-sub_binary64
394×times-frac_binary64
355×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02052
15450
215450
347948
4128848
5264548
6391948
7530148
8612148
9671548
10778948
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
Outputs
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (+.f64 (neg.f64 g) (sqrt.f64 (fma.f64 g g (neg.f64 (*.f64 h h))))))) (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (fma.f64 g g (neg.f64 (*.f64 h h))))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))

eval1.0ms (0%)

Compiler

Compiled 71 to 34 computations (52.1% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
35.4b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
35.4b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
3.0b
(-.f64 (*.f64 g g) (*.f64 h h))
9.5b
(cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
9.8b
(cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)))
30.4b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
Compiler

Compiled 144 to 38 computations (73.6% saved)

series43.0ms (0.4%)

Counts
4 → 60
Calls

30 calls:

TimeVariablePointExpression
6.0ms
a
@0
(cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)))
5.0ms
h
@0
(cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
3.0ms
g
@0
(cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)))
3.0ms
h
@inf
(cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)))
3.0ms
g
@inf
(cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))

rewrite112.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
507×fma-neg_binary64
325×expm1-udef_binary64
325×log1p-udef_binary64
275×log-pow_binary64
205×add-sqr-sqrt_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01868
140868
2591965
Stop Event
node limit
Counts
4 → 160
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
(cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)))
(cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
(-.f64 (*.f64 g g) (*.f64 h h))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) (cbrt.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4) (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 g h) 1/2) (pow.f64 (-.f64 g h) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 g 4) (pow.f64 h 4))) (hypot.f64 g h))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 g 6) (pow.f64 h 6))) (hypot.f64 (*.f64 g g) (hypot.f64 (*.f64 h h) (*.f64 g h))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) (hypot.f64 (sqrt.f64 (*.f64 h (neg.f64 h))) h))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 (sqrt.f64 (*.f64 h (neg.f64 h))) h) (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 h (neg.f64 h))) g)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) 1))))))
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simplify109.0ms (1%)

Algorithm
egg-herbie
Rules
944×fma-def_binary64
625×associate-/l*_binary64
365×unswap-sqr_binary64
290×associate-*l/_binary64
257×associate-*r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02042389
16352172
223722125
366692125
Stop Event
node limit
Counts
220 → 220
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (*.f64 (sqrt.f64 -1) h))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (*.f64 (sqrt.f64 -1) h)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (*.f64 (sqrt.f64 -1) h) (*.f64 1/16 (/.f64 (pow.f64 g 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5)))))))
g
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) g)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 g (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 g (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(*.f64 -1 g)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 -1 g))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1 g) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1 g) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
g
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) g)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 g (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 g (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (*.f64 (sqrt.f64 -1) h))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (*.f64 (sqrt.f64 -1) h)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (*.f64 (sqrt.f64 -1) h) (*.f64 1/16 (/.f64 (pow.f64 g 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5)))))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) h))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (*.f64 -1 (*.f64 (sqrt.f64 -1) h)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) h)) (*.f64 1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) h)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 g 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5)))) (*.f64 1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))))))
(*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 h)) a) 1/3) (cbrt.f64 1/2))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/9) (*.f64 (cbrt.f64 1/2) g))) (*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 h)) a) 1/3) (cbrt.f64 1/2)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (*.f64 a h)))) (*.f64 1/3 (pow.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) (*.f64 (pow.f64 a 17) h))) 1/9))) (*.f64 (pow.f64 g 2) (cbrt.f64 1/2))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/9) (*.f64 (cbrt.f64 1/2) g))) (*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 h)) a) 1/3) (cbrt.f64 1/2))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (*.f64 a h)))) (*.f64 1/3 (pow.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) (*.f64 (pow.f64 a 17) h))) 1/9))) (*.f64 (pow.f64 g 2) (cbrt.f64 1/2))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3) (*.f64 (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/3)) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (*.f64 (pow.f64 a 4) (pow.f64 h 5)))) 1/9) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (*.f64 a h)))) (*.f64 1/3 (pow.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) (*.f64 (pow.f64 a 17) h))) 1/9)))))) (*.f64 (pow.f64 g 3) (cbrt.f64 1/2))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/9) (*.f64 (cbrt.f64 1/2) g))) (*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 h)) a) 1/3) (cbrt.f64 1/2)))))
(*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 h)) a) 1/3) (cbrt.f64 -1/2))
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 h)) a) 1/3) (cbrt.f64 -1/2)) (*.f64 1/3 (*.f64 (*.f64 (cbrt.f64 -1/2) g) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/9))))
(+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 h)) a) 1/3) (cbrt.f64 -1/2)) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (cbrt.f64 -1/2) g) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/9))) (*.f64 1/3 (*.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (*.f64 a h)))) (*.f64 1/3 (pow.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) (*.f64 (pow.f64 a 17) h))) 1/9))) (pow.f64 g 2))) (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3)))))
(+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (*.f64 (pow.f64 a 4) (pow.f64 h 5)))) 1/9) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (*.f64 a h)))) (*.f64 1/3 (pow.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) (*.f64 (pow.f64 a 17) h))) 1/9))))) (*.f64 1/27 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/3))) (*.f64 (cbrt.f64 -1/2) (pow.f64 g 3))) (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 h)) a) 1/3) (cbrt.f64 -1/2)) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (cbrt.f64 -1/2) g) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/9))) (*.f64 1/3 (*.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (*.f64 a h)))) (*.f64 1/3 (pow.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) (*.f64 (pow.f64 a 17) h))) 1/9))) (pow.f64 g 2))) (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3))))))
(*.f64 (pow.f64 (/.f64 (*.f64 1 g) a) 1/3) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2)))
(+.f64 (*.f64 -1/6 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 h 2)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (*.f64 a (pow.f64 g 5))) 1/3))) (*.f64 (pow.f64 (/.f64 (*.f64 1 g) a) 1/3) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
(+.f64 (*.f64 -1/6 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 h 2)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (*.f64 a (pow.f64 g 5))) 1/3))) (+.f64 (*.f64 -1/18 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 h 4)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (*.f64 a (pow.f64 g 11))) 1/3))) (*.f64 (pow.f64 (/.f64 (*.f64 1 g) a) 1/3) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2)))))
(+.f64 (*.f64 -1/6 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 h 2)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (*.f64 a (pow.f64 g 5))) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) (*.f64 (-.f64 (*.f64 1/216 (/.f64 1 (*.f64 a (*.f64 (pow.f64 (cbrt.f64 2) 6) (pow.f64 g 5))))) (*.f64 13/144 (/.f64 1 (*.f64 a (pow.f64 g 5))))) (pow.f64 h 6))) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 g 2)) 1/3))) (+.f64 (*.f64 -1/18 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 h 4)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (*.f64 a (pow.f64 g 11))) 1/3))) (*.f64 (pow.f64 (/.f64 (*.f64 1 g) a) 1/3) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))))
(*.f64 -1 (pow.f64 h 2))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(pow.f64 g 2)
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(pow.f64 g 2)
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(pow.f64 g 2)
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(*.f64 -1 (pow.f64 h 2))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(*.f64 -1 (pow.f64 h 2))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
Outputs
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (*.f64 (sqrt.f64 -1) h))
(fma.f64 1/2 (/.f64 (*.f64 g g) (*.f64 (sqrt.f64 -1) h)) (*.f64 (sqrt.f64 -1) h))
(fma.f64 (sqrt.f64 -1) h (*.f64 1/2 (/.f64 g (/.f64 (*.f64 (sqrt.f64 -1) h) g))))
(fma.f64 1/2 (/.f64 g (/.f64 (*.f64 (sqrt.f64 -1) h) g)) (*.f64 (sqrt.f64 -1) h))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (*.f64 (sqrt.f64 -1) h)))
(fma.f64 1/2 (/.f64 (*.f64 g g) (*.f64 (sqrt.f64 -1) h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) (*.f64 (sqrt.f64 -1) h)))
(fma.f64 1/2 (/.f64 g (/.f64 (*.f64 (sqrt.f64 -1) h) g)) (fma.f64 (sqrt.f64 -1) h (*.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))))))
(fma.f64 (sqrt.f64 -1) h (fma.f64 1/2 (/.f64 g (/.f64 (*.f64 (sqrt.f64 -1) h) g)) (*.f64 (/.f64 -1/8 (neg.f64 (sqrt.f64 -1))) (/.f64 (pow.f64 g 4) (pow.f64 h 3)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (*.f64 (sqrt.f64 -1) h) (*.f64 1/16 (/.f64 (pow.f64 g 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5)))))))
(fma.f64 1/2 (/.f64 (*.f64 g g) (*.f64 (sqrt.f64 -1) h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h (*.f64 1/16 (/.f64 (pow.f64 g 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5)))))))
(fma.f64 1/2 (/.f64 g (/.f64 (*.f64 (sqrt.f64 -1) h) g)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h (*.f64 1/16 (/.f64 (pow.f64 g 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5)))))))
(fma.f64 1/2 (/.f64 g (/.f64 (*.f64 (sqrt.f64 -1) h) g)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 g 6) (pow.f64 h 5)) (*.f64 (sqrt.f64 -1) h))))
g
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) g)
(fma.f64 -1/2 (/.f64 (*.f64 h h) g) g)
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) g)
(fma.f64 -1/2 (*.f64 h (/.f64 h g)) g)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 g (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 h h) g) g) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) g))
(fma.f64 -1/2 (*.f64 h (/.f64 h g)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) g))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 g (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (/.f64 (*.f64 h h) g) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (+.f64 g (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) g)))
(fma.f64 -1/2 (*.f64 h (/.f64 h g)) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) g)))
(*.f64 -1 g)
(neg.f64 g)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 -1 g))
(fma.f64 1/2 (/.f64 (*.f64 h h) g) (neg.f64 g))
(-.f64 (*.f64 1/2 (/.f64 h (/.f64 g h))) g)
(fma.f64 (/.f64 1/2 g) (*.f64 h h) (neg.f64 g))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1 g) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 1/2 (/.f64 (*.f64 h h) g) (fma.f64 -1 g (*.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8)))
(fma.f64 1/2 (/.f64 h (/.f64 g h)) (-.f64 (/.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 h 4))) g))
(-.f64 (fma.f64 (/.f64 1/2 g) (*.f64 h h) (*.f64 (/.f64 1/8 (pow.f64 g 3)) (pow.f64 h 4))) g)
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1 g) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 1/2 (/.f64 (*.f64 h h) g) (fma.f64 -1 g (*.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8))))
(fma.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 1/2 (/.f64 h (/.f64 g h)) (-.f64 (/.f64 1/8 (/.f64 (pow.f64 g 3) (pow.f64 h 4))) g)))
(fma.f64 1/2 (*.f64 h (/.f64 h g)) (fma.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (-.f64 (*.f64 (/.f64 1/8 (pow.f64 g 3)) (pow.f64 h 4)) g)))
g
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) g)
(fma.f64 -1/2 (/.f64 (*.f64 h h) g) g)
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) g)
(fma.f64 -1/2 (*.f64 h (/.f64 h g)) g)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 g (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 h h) g) g) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) g))
(fma.f64 -1/2 (*.f64 h (/.f64 h g)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) g))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 g (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (/.f64 (*.f64 h h) g) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (+.f64 g (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) g)))
(fma.f64 -1/2 (*.f64 h (/.f64 h g)) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) g)))
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (*.f64 (sqrt.f64 -1) h))
(fma.f64 1/2 (/.f64 (*.f64 g g) (*.f64 (sqrt.f64 -1) h)) (*.f64 (sqrt.f64 -1) h))
(fma.f64 (sqrt.f64 -1) h (*.f64 1/2 (/.f64 g (/.f64 (*.f64 (sqrt.f64 -1) h) g))))
(fma.f64 1/2 (/.f64 g (/.f64 (*.f64 (sqrt.f64 -1) h) g)) (*.f64 (sqrt.f64 -1) h))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (*.f64 (sqrt.f64 -1) h)))
(fma.f64 1/2 (/.f64 (*.f64 g g) (*.f64 (sqrt.f64 -1) h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) (*.f64 (sqrt.f64 -1) h)))
(fma.f64 1/2 (/.f64 g (/.f64 (*.f64 (sqrt.f64 -1) h) g)) (fma.f64 (sqrt.f64 -1) h (*.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))))))
(fma.f64 (sqrt.f64 -1) h (fma.f64 1/2 (/.f64 g (/.f64 (*.f64 (sqrt.f64 -1) h) g)) (*.f64 (/.f64 -1/8 (neg.f64 (sqrt.f64 -1))) (/.f64 (pow.f64 g 4) (pow.f64 h 3)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (*.f64 (sqrt.f64 -1) h) (*.f64 1/16 (/.f64 (pow.f64 g 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5)))))))
(fma.f64 1/2 (/.f64 (*.f64 g g) (*.f64 (sqrt.f64 -1) h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h (*.f64 1/16 (/.f64 (pow.f64 g 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5)))))))
(fma.f64 1/2 (/.f64 g (/.f64 (*.f64 (sqrt.f64 -1) h) g)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h (*.f64 1/16 (/.f64 (pow.f64 g 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5)))))))
(fma.f64 1/2 (/.f64 g (/.f64 (*.f64 (sqrt.f64 -1) h) g)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 g 6) (pow.f64 h 5)) (*.f64 (sqrt.f64 -1) h))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) h))
(neg.f64 (*.f64 (sqrt.f64 -1) h))
(*.f64 (sqrt.f64 -1) (neg.f64 h))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (*.f64 -1 (*.f64 (sqrt.f64 -1) h)))
(fma.f64 -1/2 (/.f64 (*.f64 g g) (*.f64 (sqrt.f64 -1) h)) (neg.f64 (*.f64 (sqrt.f64 -1) h)))
(-.f64 (*.f64 (/.f64 g (/.f64 (*.f64 (sqrt.f64 -1) h) g)) -1/2) (*.f64 (sqrt.f64 -1) h))
(fma.f64 (/.f64 g (/.f64 (*.f64 (sqrt.f64 -1) h) g)) -1/2 (*.f64 (sqrt.f64 -1) (neg.f64 h)))
(neg.f64 (fma.f64 1/2 (/.f64 g (/.f64 (*.f64 (sqrt.f64 -1) h) g)) (*.f64 (sqrt.f64 -1) h)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) h)) (*.f64 1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))))))
(fma.f64 -1/2 (/.f64 (*.f64 g g) (*.f64 (sqrt.f64 -1) h)) (fma.f64 -1 (*.f64 (sqrt.f64 -1) h) (*.f64 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) 1/8)))
(fma.f64 (/.f64 g (/.f64 (*.f64 (sqrt.f64 -1) h) g)) -1/2 (fma.f64 (/.f64 (pow.f64 g 4) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) 1/8 (*.f64 (sqrt.f64 -1) (neg.f64 h))))
(-.f64 (fma.f64 (/.f64 g (/.f64 (*.f64 (sqrt.f64 -1) h) g)) -1/2 (*.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (/.f64 (pow.f64 g 4) (pow.f64 h 3)))) (*.f64 (sqrt.f64 -1) h))
(-.f64 (*.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (/.f64 (pow.f64 g 4) (pow.f64 h 3))) (fma.f64 1/2 (/.f64 g (/.f64 (*.f64 (sqrt.f64 -1) h) g)) (*.f64 (sqrt.f64 -1) h)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) h)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 g 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5)))) (*.f64 1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))))))
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(-.f64 (*.f64 g g) (*.f64 h h))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (*.f64 g g) (neg.f64 (*.f64 h h)))
(fma.f64 g g (*.f64 h (neg.f64 h)))
(-.f64 (*.f64 g g) (*.f64 h h))

eval196.0ms (1.8%)

Compiler

Compiled 15405 to 6917 computations (55.1% saved)

prune101.0ms (0.9%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New34325368
Fresh000
Picked011
Done000
Total34326369
Error
33.4b
Counts
369 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
46.9b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
48.5b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a))))
42.4b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 1/2)) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
39.8b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 3)) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
44.5b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 1/2))) (/.f64 -1/2 a))))
41.5b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 3))) (/.f64 -1/2 a))))
48.3b
(+.f64 (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) g))) (cbrt.f64 a)) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
53.1b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (exp.f64 (log.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
48.3b
(+.f64 (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
49.2b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2) 1/3)) (/.f64 -1/2 a))))
48.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (cbrt.f64 a)))
38.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4) 2) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
51.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (fma.f64 -1/2 (*.f64 h (/.f64 h g)) g) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
49.0b
(+.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) g) a))) 1) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
52.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (cbrt.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) 3) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
55.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
52.5b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (pow.f64 (cbrt.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) 3)) (/.f64 -1/2 a))))
51.9b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)))) (/.f64 -1/2 a))))
39.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 g) 2) (*.f64 (cbrt.f64 g) g) (*.f64 h (neg.f64 h)))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
48.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))))
45.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
51.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
53.2b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (exp.f64 (log.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))) (/.f64 -1/2 a))))
54.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 1/2 a)) 2))))
35.4b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
46.8b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (fma.f64 (/.f64 1/2 g) (*.f64 h h) (neg.f64 g))) (/.f64 -1/2 a))))
Compiler

Compiled 1744 to 1136 computations (34.9% saved)

localize64.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
12.8b
(-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4) 2) g)
14.4b
(cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4) 2) g)))
30.4b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
31.3b
(pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4)
Compiler

Compiled 178 to 65 computations (63.5% saved)

series43.0ms (0.4%)

Counts
3 → 60
Calls

21 calls:

TimeVariablePointExpression
11.0ms
h
@inf
(cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4) 2) g)))
4.0ms
g
@inf
(pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4)
3.0ms
h
@-inf
(cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4) 2) g)))
3.0ms
h
@inf
(pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4)
2.0ms
g
@0
(pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4)

rewrite116.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
770×log-prod_binary64
736×fma-def_binary64
323×fma-neg_binary64
292×expm1-udef_binary64
292×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01653
136651
2482649
Stop Event
node limit
Counts
3 → 157
Calls
Call 1
Inputs
(pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4)
(cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4) 2) g)))
(-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4) 2) g)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4))) (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4)) (cbrt.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/8) (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (sqrt.f64 (cbrt.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 2) 1/4) (pow.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) 1/4) (pow.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 g h) 1/4) (pow.f64 (-.f64 g h) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) 1))))))
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simplify132.0ms (1.2%)

Algorithm
egg-herbie
Rules
722×distribute-rgt-in_binary64
436×fma-def_binary64
407×associate-*r*_binary64
309×*-commutative_binary64
305×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04505373
115074929
258884422
Stop Event
node limit
Counts
217 → 268
Calls
Call 1
Inputs
(*.f64 (pow.f64 -1 1/4) (sqrt.f64 h))
(+.f64 (*.f64 (pow.f64 -1 1/4) (sqrt.f64 h)) (*.f64 -1/4 (*.f64 (pow.f64 -1 1/4) (*.f64 (pow.f64 g 2) (sqrt.f64 (/.f64 1 (pow.f64 h 3)))))))
(+.f64 (*.f64 (pow.f64 -1 1/4) (sqrt.f64 h)) (+.f64 (*.f64 -3/32 (*.f64 (pow.f64 -1 1/4) (*.f64 (pow.f64 g 4) (sqrt.f64 (/.f64 1 (pow.f64 h 7)))))) (*.f64 -1/4 (*.f64 (pow.f64 -1 1/4) (*.f64 (pow.f64 g 2) (sqrt.f64 (/.f64 1 (pow.f64 h 3))))))))
(+.f64 (*.f64 -7/128 (*.f64 (pow.f64 -1 1/4) (*.f64 (pow.f64 g 6) (sqrt.f64 (/.f64 1 (pow.f64 h 11)))))) (+.f64 (*.f64 (pow.f64 -1 1/4) (sqrt.f64 h)) (+.f64 (*.f64 -3/32 (*.f64 (pow.f64 -1 1/4) (*.f64 (pow.f64 g 4) (sqrt.f64 (/.f64 1 (pow.f64 h 7)))))) (*.f64 -1/4 (*.f64 (pow.f64 -1 1/4) (*.f64 (pow.f64 g 2) (sqrt.f64 (/.f64 1 (pow.f64 h 3)))))))))
(sqrt.f64 g)
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (pow.f64 h 2))) (sqrt.f64 g))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (+.f64 (*.f64 1/32 (pow.f64 h 4)) (*.f64 -1/8 (pow.f64 h 4)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (pow.f64 h 2))) (sqrt.f64 g)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (+.f64 (*.f64 1/32 (pow.f64 h 4)) (*.f64 -1/8 (pow.f64 h 4)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (pow.f64 h 2))) (+.f64 (*.f64 (+.f64 (*.f64 1/32 (pow.f64 h 6)) (+.f64 (*.f64 -1/12 (pow.f64 h 6)) (*.f64 -1/384 (pow.f64 h 6)))) (sqrt.f64 (/.f64 1 (pow.f64 g 11)))) (sqrt.f64 g))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 g))
(+.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 g)) (*.f64 -1/4 (*.f64 (*.f64 (sqrt.f64 -1) (pow.f64 h 2)) (sqrt.f64 (/.f64 1 (pow.f64 g 3))))))
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(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 (*.f64 a (pow.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) g) 2))) 1/3) (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (*.f64 (cbrt.f64 1/2) (pow.f64 g 2))) (pow.f64 h 2)))) (*.f64 (pow.f64 (/.f64 (*.f64 1 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) g)) a) 1/3) (cbrt.f64 1/2)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) g) 2)) 1/3) (/.f64 (*.f64 (cbrt.f64 1/2) (-.f64 (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (pow.f64 g 4)) a)) (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (+.f64 (*.f64 1/32 (pow.f64 g 4)) (*.f64 -1/8 (pow.f64 g 4)))) a))) (*.f64 1/12 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 4) (pow.f64 g 4)) (*.f64 a (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) g)))))) (pow.f64 h 4)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 (*.f64 a (pow.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) g) 2))) 1/3) (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (*.f64 (cbrt.f64 1/2) (pow.f64 g 2))) (pow.f64 h 2)))) (*.f64 (pow.f64 (/.f64 (*.f64 1 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) g)) a) 1/3) (cbrt.f64 1/2))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) g) 2)) 1/3) (/.f64 (*.f64 (cbrt.f64 1/2) (-.f64 (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (pow.f64 g 4)) a)) (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (+.f64 (*.f64 1/32 (pow.f64 g 4)) (*.f64 -1/8 (pow.f64 g 4)))) a))) (*.f64 1/12 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 4) (pow.f64 g 4)) (*.f64 a (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) g)))))) (pow.f64 h 4)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 (*.f64 a (pow.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) g) 2))) 1/3) (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (*.f64 (cbrt.f64 1/2) (pow.f64 g 2))) (pow.f64 h 2)))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) g)) a) 1/3) (cbrt.f64 1/2)) (*.f64 1/3 (*.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (+.f64 (*.f64 1/32 (pow.f64 g 6)) (+.f64 (*.f64 -1/384 (pow.f64 g 6)) (*.f64 -1/12 (pow.f64 g 6))))) a)) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (*.f64 (+.f64 (*.f64 1/32 (pow.f64 g 4)) (*.f64 -1/8 (pow.f64 g 4))) (pow.f64 g 2))) a)) (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (*.f64 (pow.f64 g 2) (+.f64 (*.f64 1/32 (pow.f64 g 4)) (*.f64 -1/8 (pow.f64 g 4))))) a)))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (*.f64 (pow.f64 g 2) (-.f64 (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (pow.f64 g 4)) a)) (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (+.f64 (*.f64 1/32 (pow.f64 g 4)) (*.f64 -1/8 (pow.f64 g 4)))) a))) (*.f64 1/12 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 4) (pow.f64 g 4)) (*.f64 a (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) g))))))) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) g))) (*.f64 -1/216 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 6) (pow.f64 g 6)) (*.f64 a (pow.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) g) 2)))))) (cbrt.f64 1/2)) (pow.f64 h 6)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) g) 2)) 1/3))))))
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 (sqrt.f64 -1) h) (*.f64 -1 g))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 -1) (pow.f64 g 2)) h)) (+.f64 (*.f64 (sqrt.f64 -1) h) (*.f64 -1 g)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 -1) (pow.f64 g 2)) h)) (+.f64 (*.f64 (sqrt.f64 -1) h) (+.f64 (*.f64 -1 g) (*.f64 (pow.f64 g 4) (+.f64 (*.f64 1/16 (/.f64 (sqrt.f64 -1) (pow.f64 h 3))) (*.f64 -3/16 (/.f64 (sqrt.f64 -1) (pow.f64 h 3))))))))
(*.f64 -1 g)
(+.f64 g (*.f64 -1 g))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 g (*.f64 -1 g)))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 h 4) (pow.f64 g 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 g (+.f64 (*.f64 -1 g) (*.f64 2 (/.f64 (+.f64 (*.f64 1/32 (pow.f64 h 4)) (*.f64 -1/8 (pow.f64 h 4))) (pow.f64 g 3)))))))
(*.f64 -1 g)
(*.f64 2 (*.f64 -1 g))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 2 (*.f64 -1 g)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 2 (*.f64 -1 g)) (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 1/32 (pow.f64 h 4)) (*.f64 -1/8 (pow.f64 h 4))) (pow.f64 g 3))) (*.f64 -1/16 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(*.f64 -1/2 (/.f64 (pow.f64 h 2) g))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (*.f64 -5/128 (/.f64 (pow.f64 h 8) (pow.f64 g 7))) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2) g)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2) (pow.f64 g 2)) (pow.f64 h 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2)) g)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2) (pow.f64 g 2)) (pow.f64 h 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2) (pow.f64 g 4)) (pow.f64 h 4))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2) (+.f64 (*.f64 1/32 (pow.f64 g 4)) (*.f64 -1/8 (pow.f64 g 4)))) (pow.f64 h 4)))))) g)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2) (pow.f64 g 2)) (pow.f64 h 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2) (+.f64 (*.f64 1/32 (pow.f64 g 6)) (+.f64 (*.f64 -1/384 (pow.f64 g 6)) (*.f64 -1/12 (pow.f64 g 6))))) (pow.f64 h 6))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2) (pow.f64 g 4)) (pow.f64 h 4))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2) (*.f64 (pow.f64 g 2) (+.f64 (*.f64 1/32 (pow.f64 g 4)) (*.f64 -1/8 (pow.f64 g 4))))) (pow.f64 h 6))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2) (*.f64 (+.f64 (*.f64 1/32 (pow.f64 g 4)) (*.f64 -1/8 (pow.f64 g 4))) (pow.f64 g 2))) (pow.f64 h 6))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2) (+.f64 (*.f64 1/32 (pow.f64 g 4)) (*.f64 -1/8 (pow.f64 g 4)))) (pow.f64 h 4))))))))) g)
(-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) g)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (pow.f64 g 2)) (pow.f64 h 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2)) g)
(-.f64 (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (pow.f64 g 4)) (pow.f64 h 4))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (+.f64 (*.f64 1/32 (pow.f64 g 4)) (*.f64 -1/8 (pow.f64 g 4)))) (pow.f64 h 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (pow.f64 g 2)) (pow.f64 h 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2)))) g)
(-.f64 (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (pow.f64 g 4)) (pow.f64 h 4))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (*.f64 (+.f64 (*.f64 1/32 (pow.f64 g 4)) (*.f64 -1/8 (pow.f64 g 4))) (pow.f64 g 2))) (pow.f64 h 6))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (+.f64 (*.f64 1/32 (pow.f64 g 6)) (+.f64 (*.f64 -1/384 (pow.f64 g 6)) (*.f64 -1/12 (pow.f64 g 6))))) (pow.f64 h 6))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (*.f64 (pow.f64 g 2) (+.f64 (*.f64 1/32 (pow.f64 g 4)) (*.f64 -1/8 (pow.f64 g 4))))) (pow.f64 h 6))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (+.f64 (*.f64 1/32 (pow.f64 g 4)) (*.f64 -1/8 (pow.f64 g 4)))) (pow.f64 h 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (pow.f64 g 2)) (pow.f64 h 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2))))))) g)
Outputs
(*.f64 (pow.f64 -1 1/4) (sqrt.f64 h))
(+.f64 (*.f64 (pow.f64 -1 1/4) (sqrt.f64 h)) (*.f64 -1/4 (*.f64 (pow.f64 -1 1/4) (*.f64 (pow.f64 g 2) (sqrt.f64 (/.f64 1 (pow.f64 h 3)))))))
(fma.f64 (pow.f64 -1 1/4) (sqrt.f64 h) (*.f64 -1/4 (*.f64 (*.f64 (pow.f64 -1 1/4) (*.f64 g g)) (sqrt.f64 (/.f64 1 (pow.f64 h 3))))))
(fma.f64 -1/4 (*.f64 (*.f64 g g) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 h 3))) (pow.f64 -1 1/4))) (*.f64 (pow.f64 -1 1/4) (sqrt.f64 h)))
(*.f64 (pow.f64 -1 1/4) (+.f64 (sqrt.f64 h) (*.f64 -1/4 (*.f64 g (*.f64 g (sqrt.f64 (/.f64 1 (pow.f64 h 3))))))))
(+.f64 (*.f64 (pow.f64 -1 1/4) (sqrt.f64 h)) (+.f64 (*.f64 -3/32 (*.f64 (pow.f64 -1 1/4) (*.f64 (pow.f64 g 4) (sqrt.f64 (/.f64 1 (pow.f64 h 7)))))) (*.f64 -1/4 (*.f64 (pow.f64 -1 1/4) (*.f64 (pow.f64 g 2) (sqrt.f64 (/.f64 1 (pow.f64 h 3))))))))
(fma.f64 (pow.f64 -1 1/4) (sqrt.f64 h) (fma.f64 -3/32 (*.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 g 4)) (sqrt.f64 (/.f64 1 (pow.f64 h 7)))) (*.f64 -1/4 (*.f64 (*.f64 (pow.f64 -1 1/4) (*.f64 g g)) (sqrt.f64 (/.f64 1 (pow.f64 h 3)))))))
(fma.f64 (pow.f64 -1 1/4) (sqrt.f64 h) (fma.f64 -1/4 (*.f64 (*.f64 g g) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 h 3))) (pow.f64 -1 1/4))) (*.f64 -3/32 (*.f64 (pow.f64 g 4) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 h 7))) (pow.f64 -1 1/4))))))
(fma.f64 (pow.f64 -1 1/4) (sqrt.f64 h) (*.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -1/4 (*.f64 g (*.f64 g (sqrt.f64 (/.f64 1 (pow.f64 h 3)))))) (*.f64 -3/32 (*.f64 (pow.f64 g 4) (sqrt.f64 (/.f64 1 (pow.f64 h 7))))))))
(+.f64 (*.f64 -7/128 (*.f64 (pow.f64 -1 1/4) (*.f64 (pow.f64 g 6) (sqrt.f64 (/.f64 1 (pow.f64 h 11)))))) (+.f64 (*.f64 (pow.f64 -1 1/4) (sqrt.f64 h)) (+.f64 (*.f64 -3/32 (*.f64 (pow.f64 -1 1/4) (*.f64 (pow.f64 g 4) (sqrt.f64 (/.f64 1 (pow.f64 h 7)))))) (*.f64 -1/4 (*.f64 (pow.f64 -1 1/4) (*.f64 (pow.f64 g 2) (sqrt.f64 (/.f64 1 (pow.f64 h 3)))))))))
(fma.f64 -7/128 (*.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 g 6)) (sqrt.f64 (/.f64 1 (pow.f64 h 11)))) (fma.f64 (pow.f64 -1 1/4) (sqrt.f64 h) (fma.f64 -3/32 (*.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 g 4)) (sqrt.f64 (/.f64 1 (pow.f64 h 7)))) (*.f64 -1/4 (*.f64 (*.f64 (pow.f64 -1 1/4) (*.f64 g g)) (sqrt.f64 (/.f64 1 (pow.f64 h 3))))))))
(fma.f64 -7/128 (*.f64 (pow.f64 g 6) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 h 11))) (pow.f64 -1 1/4))) (fma.f64 (pow.f64 -1 1/4) (sqrt.f64 h) (fma.f64 -1/4 (*.f64 (*.f64 g g) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 h 3))) (pow.f64 -1 1/4))) (*.f64 -3/32 (*.f64 (pow.f64 g 4) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 h 7))) (pow.f64 -1 1/4)))))))
(+.f64 (*.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -1/4 (*.f64 g (*.f64 g (sqrt.f64 (/.f64 1 (pow.f64 h 3)))))) (*.f64 -3/32 (*.f64 (pow.f64 g 4) (sqrt.f64 (/.f64 1 (pow.f64 h 7))))))) (*.f64 (pow.f64 -1 1/4) (+.f64 (sqrt.f64 h) (*.f64 (*.f64 (pow.f64 g 6) (sqrt.f64 (/.f64 1 (pow.f64 h 11)))) -7/128))))
(sqrt.f64 g)
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (pow.f64 h 2))) (sqrt.f64 g))
(fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (*.f64 h h)) (sqrt.f64 g))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (+.f64 (*.f64 1/32 (pow.f64 h 4)) (*.f64 -1/8 (pow.f64 h 4)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (pow.f64 h 2))) (sqrt.f64 g)))
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(-.f64 (fma.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h))))) 2) (/.f64 (pow.f64 h 4) (pow.f64 g 4))) (fma.f64 -1/4 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h))))) 2) (/.f64 (pow.f64 h 6) (*.f64 (*.f64 g g) (*.f64 (pow.f64 g 4) -3/32)))) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h))))) 2) (/.f64 (pow.f64 h 6) (fma.f64 1/32 (pow.f64 g 6) (*.f64 (pow.f64 g 6) -11/128)))) (fma.f64 -1/4 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h))))) 2) (/.f64 (pow.f64 h 6) (*.f64 (*.f64 g g) (*.f64 (pow.f64 g 4) -3/32)))) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h))))) 2) (/.f64 (pow.f64 h 4) (*.f64 (pow.f64 g 4) -3/32))) (fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h))))) 2) (/.f64 (*.f64 h h) (*.f64 g g))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h))))) 2))))))) g)
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2) (pow.f64 h 4)) (pow.f64 g 4)) (-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2) (pow.f64 h 6)) (*.f64 (pow.f64 g 6) -3/32)) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2) (pow.f64 h 6)) (*.f64 (pow.f64 g 6) -7/128)) (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2) (pow.f64 h 6)) (*.f64 (pow.f64 g 6) -3/32)) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2) (pow.f64 h 4)) (*.f64 -3/32 (pow.f64 g 4))) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 g g) h) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2) h)) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2)))))) g))
(fma.f64 1/16 (*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 2) (pow.f64 h 4)) (pow.f64 g 4)) (-.f64 (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 2) (pow.f64 h 6)) (*.f64 (pow.f64 g 6) -3/32)) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 2) (pow.f64 h 6)) (*.f64 (pow.f64 g 6) -7/128)) (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 2) (pow.f64 h 6)) (*.f64 (pow.f64 g 6) -3/32)) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 2) (pow.f64 h 4)) (*.f64 -3/32 (pow.f64 g 4))) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 g g) h) (/.f64 (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 2) h)) (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 2)))))) g))

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))
3.0b
(-.f64 (*.f64 g g) (*.f64 h h))
9.5b
(cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
30.4b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
Compiler

Compiled 116 to 38 computations (67.2% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
g
@0
(+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))
1.0ms
g
@-inf
(+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))
0.0ms
g
@inf
(+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))
0.0ms
h
@-inf
(+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))
0.0ms
h
@0
(+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))

rewrite66.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
693×fma-def_binary64
435×log-prod_binary64
336×fma-neg_binary64
329×pow-prod-down_binary64
245×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0815
118915
2289914
Stop Event
node limit
Counts
1 → 54
Calls
Call 1
Inputs
(+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 g g) (-.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) (/.f64 (-.f64 (*.f64 g g) (*.f64 h h)) (-.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) (pow.f64 (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) 2) (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) (sqrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 g 3) (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2)) (/.f64 1 (fma.f64 g g (-.f64 (*.f64 g g) (fma.f64 h h (*.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (*.f64 g g) (*.f64 g g)) (*.f64 h h)) (/.f64 1 (-.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 g g (-.f64 (*.f64 g g) (fma.f64 h h (*.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))) (+.f64 (pow.f64 g 3) (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (+.f64 (-.f64 (*.f64 g g) (*.f64 g g)) (*.f64 h h))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 g 3) (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2)) (fma.f64 g g (-.f64 (*.f64 g g) (fma.f64 h h (*.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 g 3) (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2)) (fma.f64 (+.f64 g h) (-.f64 g h) (-.f64 (*.f64 g g) (*.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 g g) (*.f64 g g)) (*.f64 h h)) (-.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 g 3) (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2))) (neg.f64 (fma.f64 g g (-.f64 (*.f64 g g) (fma.f64 h h (*.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (-.f64 (*.f64 g g) (*.f64 g g)) (*.f64 h h))) (neg.f64 (-.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 g h) (-.f64 g h) (neg.f64 (*.f64 g g))) (-.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) g))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 g g (-.f64 (*.f64 g g) (fma.f64 h h (*.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))) (+.f64 (pow.f64 g 3) (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (+.f64 (-.f64 (*.f64 g g) (*.f64 g g)) (*.f64 h h))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 g)) (exp.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 g) (+.f64 1 (expm1.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 g)) (+.f64 1 (expm1.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) (exp.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (+.f64 1 (expm1.f64 g))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) (+.f64 1 (expm1.f64 g))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 g 1 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) 1 g)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) g)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 g) 2) (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/6) g)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 g) 2) (cbrt.f64 g) (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/6) (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 g) (sqrt.f64 g) (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4) (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4) g)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 g) g)) (sqrt.f64 (pow.f64 (cbrt.f64 g) 2)) (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)) g)))))

simplify66.0ms (0.6%)

Algorithm
egg-herbie
Rules
751×associate-/l/_binary64
466×times-frac_binary64
416×distribute-neg-frac_binary64
396×associate-/r/_binary64
378×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
073548
1220537
2705523
33520521
46368520
Stop Event
node limit
Counts
78 → 85
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 (sqrt.f64 -1) h) g)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 (sqrt.f64 -1) h) g))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (*.f64 (sqrt.f64 -1) h) g)))
(*.f64 2 g)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 2 g))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 2 g) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (*.f64 2 g) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 h 8)) (pow.f64 (*.f64 -1/8 (pow.f64 h 4)) 2)) (pow.f64 g 7))) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(*.f64 2 g)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 2 g))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 2 g) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (*.f64 2 g) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 (sqrt.f64 -1) h) g)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 (sqrt.f64 -1) h) g))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (*.f64 (sqrt.f64 -1) h) g)))
(*.f64 -1 (*.f64 (sqrt.f64 -1) h))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) h)) g)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) h)) g))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) h)) (+.f64 g (*.f64 1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))))))
Outputs
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 (sqrt.f64 -1) h) g)
(fma.f64 (sqrt.f64 -1) h g)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 (sqrt.f64 -1) h) g))
(fma.f64 1/2 (/.f64 (*.f64 g g) (*.f64 (sqrt.f64 -1) h)) (fma.f64 (sqrt.f64 -1) h g))
(fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (sqrt.f64 -1) h g))
(fma.f64 (sqrt.f64 -1) h (fma.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 g (/.f64 h g)) g))
(fma.f64 (sqrt.f64 -1) h (fma.f64 1/2 (/.f64 (/.f64 g (/.f64 h g)) (sqrt.f64 -1)) g))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (*.f64 (sqrt.f64 -1) h) g)))
(fma.f64 1/2 (/.f64 (*.f64 g g) (*.f64 (sqrt.f64 -1) h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h g)))
(fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h g)))
(fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) (fma.f64 (sqrt.f64 -1) h (fma.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 g (/.f64 h g)) g)))
(fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) (fma.f64 (sqrt.f64 -1) h (fma.f64 1/2 (/.f64 (/.f64 g (/.f64 h g)) (sqrt.f64 -1)) g)))
(*.f64 2 g)
(*.f64 g 2)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 2 g))
(fma.f64 -1/2 (/.f64 (*.f64 h h) g) (*.f64 g 2))
(fma.f64 g 2 (*.f64 -1/2 (/.f64 h (/.f64 g h))))
(fma.f64 g 2 (*.f64 -1/2 (*.f64 (/.f64 h g) h)))
(fma.f64 g 2 (*.f64 (/.f64 -1/2 g) (*.f64 h h)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 2 g) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 -1/2 (/.f64 (*.f64 h h) g) (fma.f64 2 g (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 g 2 (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 g 2 (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (*.f64 -1/2 (*.f64 (/.f64 h g) h))))
(fma.f64 g 2 (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (*.f64 (/.f64 -1/2 g) (*.f64 h h))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (*.f64 2 g) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (/.f64 (*.f64 h h) g) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 2 g (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 g 2 (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (*.f64 (/.f64 h g) h) (fma.f64 g 2 (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (*.f64 (/.f64 -1/16 (pow.f64 g 5)) (pow.f64 h 6)))))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 1/2 (/.f64 (*.f64 h h) g))
(*.f64 1/2 (/.f64 h (/.f64 g h)))
(*.f64 (/.f64 1/2 g) (*.f64 h h))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))
(fma.f64 1/2 (/.f64 (*.f64 h h) g) (*.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8))
(fma.f64 1/2 (/.f64 h (/.f64 g h)) (*.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8))
(fma.f64 1/2 (*.f64 (/.f64 h g) h) (*.f64 (/.f64 1/8 (pow.f64 g 3)) (pow.f64 h 4)))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 1/2 (/.f64 (*.f64 h h) g) (*.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8)))
(fma.f64 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) 1/16 (fma.f64 1/2 (/.f64 h (/.f64 g h)) (*.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8)))
(fma.f64 1/2 (*.f64 (/.f64 h g) h) (fma.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8 (*.f64 (/.f64 1/16 (pow.f64 g 5)) (pow.f64 h 6))))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 h 8)) (pow.f64 (*.f64 -1/8 (pow.f64 h 4)) 2)) (pow.f64 g 7))) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 1/2 (/.f64 (*.f64 h h) g) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (pow.f64 h 8) (pow.f64 (*.f64 -1/8 (pow.f64 h 4)) 2)) (pow.f64 g 7)) (*.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8))))
(fma.f64 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) 1/16 (fma.f64 1/2 (/.f64 h (/.f64 g h)) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (pow.f64 h 8) (*.f64 (pow.f64 h 8) 1/64)) (pow.f64 g 7)) (*.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8))))
(fma.f64 1/2 (+.f64 (*.f64 (/.f64 h g) h) (/.f64 (*.f64 (pow.f64 h 8) 5/64) (pow.f64 g 7))) (fma.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8 (*.f64 (/.f64 1/16 (pow.f64 g 5)) (pow.f64 h 6))))
(fma.f64 1/2 (*.f64 (/.f64 h g) h) (fma.f64 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) 1/16 (fma.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8 (/.f64 (*.f64 (pow.f64 h 8) 5/128) (pow.f64 g 7)))))
(*.f64 2 g)
(*.f64 g 2)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 2 g))
(fma.f64 -1/2 (/.f64 (*.f64 h h) g) (*.f64 g 2))
(fma.f64 g 2 (*.f64 -1/2 (/.f64 h (/.f64 g h))))
(fma.f64 g 2 (*.f64 -1/2 (*.f64 (/.f64 h g) h)))
(fma.f64 g 2 (*.f64 (/.f64 -1/2 g) (*.f64 h h)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 2 g) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 -1/2 (/.f64 (*.f64 h h) g) (fma.f64 2 g (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 g 2 (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 g 2 (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (*.f64 -1/2 (*.f64 (/.f64 h g) h))))
(fma.f64 g 2 (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (*.f64 (/.f64 -1/2 g) (*.f64 h h))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (*.f64 2 g) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (/.f64 (*.f64 h h) g) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 2 g (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 g 2 (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (*.f64 (/.f64 h g) h) (fma.f64 g 2 (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (*.f64 (/.f64 -1/16 (pow.f64 g 5)) (pow.f64 h 6)))))
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 (sqrt.f64 -1) h) g)
(fma.f64 (sqrt.f64 -1) h g)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 (sqrt.f64 -1) h) g))
(fma.f64 1/2 (/.f64 (*.f64 g g) (*.f64 (sqrt.f64 -1) h)) (fma.f64 (sqrt.f64 -1) h g))
(fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (sqrt.f64 -1) h g))
(fma.f64 (sqrt.f64 -1) h (fma.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 g (/.f64 h g)) g))
(fma.f64 (sqrt.f64 -1) h (fma.f64 1/2 (/.f64 (/.f64 g (/.f64 h g)) (sqrt.f64 -1)) g))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (*.f64 (sqrt.f64 -1) h) g)))
(fma.f64 1/2 (/.f64 (*.f64 g g) (*.f64 (sqrt.f64 -1) h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h g)))
(fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h g)))
(fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) (fma.f64 (sqrt.f64 -1) h (fma.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 g (/.f64 h g)) g)))
(fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) (fma.f64 (sqrt.f64 -1) h (fma.f64 1/2 (/.f64 (/.f64 g (/.f64 h g)) (sqrt.f64 -1)) g)))
(*.f64 -1 (*.f64 (sqrt.f64 -1) h))
(neg.f64 (*.f64 (sqrt.f64 -1) h))
(*.f64 (sqrt.f64 -1) (neg.f64 h))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) h)) g)
(fma.f64 -1 (*.f64 (sqrt.f64 -1) h) g)
(-.f64 g (*.f64 (sqrt.f64 -1) h))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) h)) g))
(fma.f64 -1/2 (/.f64 (*.f64 g g) (*.f64 (sqrt.f64 -1) h)) (fma.f64 -1 (*.f64 (sqrt.f64 -1) h) g))
(fma.f64 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) -1/2 (-.f64 g (*.f64 (sqrt.f64 -1) h)))
(-.f64 (fma.f64 (/.f64 -1/2 (sqrt.f64 -1)) (/.f64 g (/.f64 h g)) g) (*.f64 (sqrt.f64 -1) h))
(-.f64 g (fma.f64 (sqrt.f64 -1) h (*.f64 1/2 (/.f64 (/.f64 g (/.f64 h g)) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) h)) (+.f64 g (*.f64 1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))))))
(fma.f64 -1/2 (/.f64 (*.f64 g g) (*.f64 (sqrt.f64 -1) h)) (+.f64 (fma.f64 -1 (*.f64 (sqrt.f64 -1) h) g) (/.f64 (*.f64 1/8 (pow.f64 g 4)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))))
(fma.f64 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) -1/2 (-.f64 (fma.f64 (/.f64 (pow.f64 g 4) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) 1/8 g) (*.f64 (sqrt.f64 -1) h)))
(-.f64 (fma.f64 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) -1/2 (fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) g)) (*.f64 (sqrt.f64 -1) h))
(-.f64 (fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) g) (fma.f64 (sqrt.f64 -1) h (*.f64 1/2 (/.f64 (/.f64 g (/.f64 h g)) (sqrt.f64 -1)))))
(fma.f64 (*.f64 (/.f64 g (sqrt.f64 -1)) g) (+.f64 (/.f64 -1/2 h) (/.f64 (*.f64 (*.f64 1/8 g) g) (neg.f64 (pow.f64 h 3)))) (-.f64 g (*.f64 (sqrt.f64 -1) h)))

localize44.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
3.0b
(-.f64 (*.f64 g g) (*.f64 h h))
9.8b
(cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)))
18.3b
(cbrt.f64 (/.f64 g a))
30.4b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
Compiler

Compiled 126 to 46 computations (63.5% saved)

series4.0ms (0%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
g
@-inf
(cbrt.f64 (/.f64 g a))
1.0ms
a
@-inf
(cbrt.f64 (/.f64 g a))
1.0ms
g
@0
(cbrt.f64 (/.f64 g a))
1.0ms
g
@inf
(cbrt.f64 (/.f64 g a))
1.0ms
a
@inf
(cbrt.f64 (/.f64 g a))

rewrite52.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
534×pow1_binary64
512×add-sqr-sqrt_binary64
497×add-log-exp_binary64
497×log1p-expm1-u_binary64
497×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
11036
213336
Stop Event
node limit
Counts
1 → 26
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 g a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (/.f64 g a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 g a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 g a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 g a))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g a))) 2) (cbrt.f64 (cbrt.f64 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 g) (pow.f64 (/.f64 1 a) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 g a) 1/6) (pow.f64 (/.f64 g a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 g a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 g a)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 g a)) 1/3) (pow.f64 (sqrt.f64 (/.f64 g a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 a g)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 g) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 g)) (cbrt.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 g a) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 g a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 g a) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 g a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 g a))))))))

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
26 → 26
Calls
Call 1
Inputs
Outputs

localize72.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
17.3b
(cbrt.f64 (*.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2) 1/3)) (/.f64 -1/2 a)))
30.4b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
33.8b
(+.f64 g (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2) 1/3))
41.1b
(pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2) 1/3)
Compiler

Compiled 178 to 65 computations (63.5% saved)

series58.0ms (0.5%)

Counts
3 → 64
Calls

21 calls:

TimeVariablePointExpression
16.0ms
h
@inf
(cbrt.f64 (*.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2) 1/3)) (/.f64 -1/2 a)))
7.0ms
g
@0
(pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2) 1/3)
6.0ms
h
@-inf
(cbrt.f64 (*.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2) 1/3)) (/.f64 -1/2 a)))
4.0ms
g
@0
(cbrt.f64 (*.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2) 1/3)) (/.f64 -1/2 a)))
4.0ms
h
@inf
(pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2) 1/3)

rewrite138.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
764×log-prod_binary64
666×fma-def_binary64
336×fma-neg_binary64
295×expm1-udef_binary64
295×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01653
137150
2487947
Stop Event
node limit
Counts
3 → 112
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2) 1/3)
(+.f64 g (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2) 1/3))
(cbrt.f64 (*.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2) 1/3)) (/.f64 -1/2 a)))
Outputs
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(*.f64 h (neg.f64 h))))) (/.f64 -1/2 a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 -1/2 a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 -1/2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 -1/2 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 -1/2 a)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 -1/2 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 -1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 -1/2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 -1/2 a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 -1/2 a)))) 1))))))

simplify263.0ms (2.4%)

Algorithm
egg-herbie
Rules
450×cancel-sign-sub-inv_binary64
450×fma-def_binary64
440×associate-*r*_binary64
369×fma-neg_binary64
337×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04446510
115405797
262845292
Stop Event
node limit
Counts
176 → 224
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (*.f64 (sqrt.f64 -1) h))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 (sqrt.f64 -1) h) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 3/8 (/.f64 (sqrt.f64 -1) h)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 -1) h)))) (pow.f64 g 4)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 (sqrt.f64 -1) h) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 3/8 (/.f64 (sqrt.f64 -1) h)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 -1) h)))) (pow.f64 g 4)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2)))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/16 (/.f64 (sqrt.f64 -1) (pow.f64 h 3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 3/8 (/.f64 (sqrt.f64 -1) h)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 -1) h)))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))))) (pow.f64 g 6)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2)))))))
g
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) g)
(+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 9/8 (*.f64 (pow.f64 g 3) (pow.f64 h 4))) (*.f64 -3/4 (*.f64 (pow.f64 g 3) (pow.f64 h 4)))) (*.f64 3/4 (*.f64 (pow.f64 g 3) (pow.f64 h 4)))) (pow.f64 g 6))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) g))
(+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 9/8 (*.f64 (pow.f64 g 3) (pow.f64 h 4))) (*.f64 -3/4 (*.f64 (pow.f64 g 3) (pow.f64 h 4)))) (*.f64 3/4 (*.f64 (pow.f64 g 3) (pow.f64 h 4)))) (pow.f64 g 6))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 g (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 g 3) (pow.f64 h 6))) (+.f64 (*.f64 -9/16 (*.f64 (pow.f64 g 3) (pow.f64 h 6))) (*.f64 9/8 (*.f64 (pow.f64 g 3) (pow.f64 h 6))))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 g 3) (pow.f64 h 6))) (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 9/8 (*.f64 (pow.f64 g 3) (pow.f64 h 4))) (*.f64 -3/4 (*.f64 (pow.f64 g 3) (pow.f64 h 4)))) (*.f64 3/4 (*.f64 (pow.f64 g 3) (pow.f64 h 4)))) (pow.f64 h 2))))) (pow.f64 g 8))))))
(*.f64 -1 g)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 -1 g))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 -9/8 (*.f64 (pow.f64 g 3) (pow.f64 h 4))) (*.f64 3/4 (*.f64 (pow.f64 g 3) (pow.f64 h 4)))) (*.f64 -3/4 (*.f64 (pow.f64 g 3) (pow.f64 h 4)))) (pow.f64 g 6))) (*.f64 -1 g)))
(+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 9/16 (*.f64 (pow.f64 g 3) (pow.f64 h 6))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 g 3) (pow.f64 h 6))) (*.f64 -9/8 (*.f64 (pow.f64 g 3) (pow.f64 h 6))))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (*.f64 -9/8 (*.f64 (pow.f64 g 3) (pow.f64 h 4))) (*.f64 3/4 (*.f64 (pow.f64 g 3) (pow.f64 h 4)))) (*.f64 -3/4 (*.f64 (pow.f64 g 3) (pow.f64 h 4)))) (pow.f64 h 2))) (*.f64 1/8 (*.f64 (pow.f64 g 3) (pow.f64 h 6))))) (pow.f64 g 8))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 -9/8 (*.f64 (pow.f64 g 3) (pow.f64 h 4))) (*.f64 3/4 (*.f64 (pow.f64 g 3) (pow.f64 h 4)))) (*.f64 -3/4 (*.f64 (pow.f64 g 3) (pow.f64 h 4)))) (pow.f64 g 6))) (*.f64 -1 g))))
g
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) g)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 g (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 g (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 1/3)
(+.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 1/3) (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1))))) 1/3) (/.f64 (pow.f64 g 2) (pow.f64 h 2)))))
(+.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2)) 1/3) (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) (+.f64 (*.f64 9/8 (pow.f64 g 4)) (*.f64 -3/4 (pow.f64 g 4)))) (*.f64 3/4 (*.f64 (pow.f64 g 4) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1))))))) (pow.f64 h 4)))) (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1))))) 1/3) (/.f64 (pow.f64 g 2) (pow.f64 h 2))))))
(+.f64 (*.f64 1/3 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 9/8 (pow.f64 g 6)) (+.f64 (*.f64 -1/2 (pow.f64 g 6)) (*.f64 -9/16 (pow.f64 g 6)))) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1))))) (+.f64 (*.f64 -1/8 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) (pow.f64 g 6))) (*.f64 -1 (*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) (+.f64 (*.f64 9/8 (pow.f64 g 4)) (*.f64 -3/4 (pow.f64 g 4)))) (*.f64 3/4 (*.f64 (pow.f64 g 4) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1))))))) (pow.f64 g 2))))) (pow.f64 h 6)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2)) 1/3))) (+.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2)) 1/3) (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) (+.f64 (*.f64 9/8 (pow.f64 g 4)) (*.f64 -3/4 (pow.f64 g 4)))) (*.f64 3/4 (*.f64 (pow.f64 g 4) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1))))))) (pow.f64 h 4)))) (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1))))) 1/3) (/.f64 (pow.f64 g 2) (pow.f64 h 2)))))))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3)
(+.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3) (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h))))))) 1/3) (/.f64 (pow.f64 g 2) (pow.f64 h 2)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2)) 1/3) (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) (+.f64 (*.f64 9/8 (pow.f64 g 4)) (*.f64 -3/4 (pow.f64 g 4)))) (*.f64 3/4 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) (pow.f64 g 4)))) (pow.f64 h 4)))) (+.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3) (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h))))))) 1/3) (/.f64 (pow.f64 g 2) (pow.f64 h 2))))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2)) 1/3) (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) (+.f64 (*.f64 9/8 (pow.f64 g 4)) (*.f64 -3/4 (pow.f64 g 4)))) (*.f64 3/4 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) (pow.f64 g 4)))) (pow.f64 h 4)))) (+.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h))))))) 1/3) (/.f64 (pow.f64 g 2) (pow.f64 h 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2)) 1/3) (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 9/8 (pow.f64 g 6)) (+.f64 (*.f64 -1/2 (pow.f64 g 6)) (*.f64 -9/16 (pow.f64 g 6)))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h))))))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) (+.f64 (*.f64 9/8 (pow.f64 g 4)) (*.f64 -3/4 (pow.f64 g 4)))) (*.f64 3/4 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) (pow.f64 g 4)))) (pow.f64 g 2))) (*.f64 -1/8 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) (pow.f64 g 6))))) (pow.f64 h 6)))))))
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 (sqrt.f64 -1) h) g)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 (sqrt.f64 -1) h) g))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 (sqrt.f64 -1) h) (+.f64 g (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 3/8 (/.f64 (sqrt.f64 -1) h)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 -1) h)))) (pow.f64 g 4)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2)))))))
g
(*.f64 2 g)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 2 g))
(+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 9/8 (*.f64 (pow.f64 g 3) (pow.f64 h 4))) (*.f64 -3/4 (*.f64 (pow.f64 g 3) (pow.f64 h 4)))) (*.f64 3/4 (*.f64 (pow.f64 g 3) (pow.f64 h 4)))) (pow.f64 g 6))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 2 g)))
g
(+.f64 (*.f64 -1 g) g)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1 g) g))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1 g) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 -9/8 (*.f64 (pow.f64 g 3) (pow.f64 h 4))) (*.f64 3/4 (*.f64 (pow.f64 g 3) (pow.f64 h 4)))) (*.f64 -3/4 (*.f64 (pow.f64 g 3) (pow.f64 h 4)))) (pow.f64 g 6))) g)))
(*.f64 2 g)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 2 g))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 2 g) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (*.f64 2 g) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(+.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 1/3) g)
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(+.f64 (*.f64 -1/6 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 g 2)) (pow.f64 h 2)) (pow.f64 (/.f64 (*.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h))))))) (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3) g) 2) a)) 1/3))) (*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3) g) 1) a) 1/3) (cbrt.f64 -1/2)))
(+.f64 (*.f64 -1/6 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 g 2)) (pow.f64 h 2)) (pow.f64 (/.f64 (*.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h))))))) (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3) g) 2) a)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3) g) 2)) 1/3) (/.f64 (*.f64 (-.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2)) 1/3) (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) (+.f64 (*.f64 9/8 (pow.f64 g 4)) (*.f64 -3/4 (pow.f64 g 4)))) (*.f64 3/4 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) (pow.f64 g 4)))) a))) (*.f64 1/12 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2)) 1/3) (/.f64 (pow.f64 g 4) (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3) g) a))))) (cbrt.f64 -1/2)) (pow.f64 h 4)))) (*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3) g) 1) a) 1/3) (cbrt.f64 -1/2))))
(+.f64 (*.f64 -1/6 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 g 2)) (pow.f64 h 2)) (pow.f64 (/.f64 (*.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h))))))) (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3) g) 2) a)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (*.f64 (cbrt.f64 -1/2) (-.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2)) 1/3) (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 9/8 (pow.f64 g 6)) (+.f64 (*.f64 -1/2 (pow.f64 g 6)) (*.f64 -9/16 (pow.f64 g 6)))) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h))))))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) (+.f64 (*.f64 9/8 (pow.f64 g 4)) (*.f64 -3/4 (pow.f64 g 4)))) (*.f64 3/4 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) (pow.f64 g 4)))) (pow.f64 g 2))) (*.f64 -1/8 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) (pow.f64 g 6))))) a))) (+.f64 (*.f64 -1/3 (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2)) 1/3) (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) (+.f64 (*.f64 9/8 (pow.f64 g 4)) (*.f64 -3/4 (pow.f64 g 4)))) (*.f64 3/4 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) (pow.f64 g 4)))) a))) (*.f64 1/12 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2)) 1/3) (/.f64 (pow.f64 g 4) (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3) g) a))))) (pow.f64 g 2)) (+.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3) g)) (pow.f64 (*.f64 1 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h))))))) 1/3))) (*.f64 -1/216 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) (pow.f64 g 6)) (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3) g) 2) a)))))) (pow.f64 h 6)) (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3) g) 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 a 2)) (pow.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3) g) 2)) 1/3) (/.f64 (*.f64 (-.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2)) 1/3) (/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) (+.f64 (*.f64 9/8 (pow.f64 g 4)) (*.f64 -3/4 (pow.f64 g 4)))) (*.f64 3/4 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) (pow.f64 g 4)))) a))) (*.f64 1/12 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 2)) 1/3) (/.f64 (pow.f64 g 4) (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3) g) a))))) (cbrt.f64 -1/2)) (pow.f64 h 4)))) (*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3) g) 1) a) 1/3) (cbrt.f64 -1/2)))))
Outputs
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (*.f64 (sqrt.f64 -1) h))
(fma.f64 -1/2 (/.f64 (*.f64 g g) (*.f64 (sqrt.f64 -1) h)) (*.f64 (sqrt.f64 -1) h))
(fma.f64 -1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (*.f64 (sqrt.f64 -1) h))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 (sqrt.f64 -1) h) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 3/8 (/.f64 (sqrt.f64 -1) h)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 -1) h)))) (pow.f64 g 4)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))))))
(fma.f64 -1/2 (/.f64 (*.f64 g g) (*.f64 (sqrt.f64 -1) h)) (fma.f64 (sqrt.f64 -1) h (*.f64 1/3 (/.f64 (-.f64 (*.f64 3/8 (/.f64 (sqrt.f64 -1) h)) (/.f64 3/4 (*.f64 (sqrt.f64 -1) h))) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 h h)) (pow.f64 g 4))))))
(fma.f64 -1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (sqrt.f64 -1) h (*.f64 -1/3 (/.f64 (*.f64 (fma.f64 3/8 (/.f64 (sqrt.f64 -1) h) (/.f64 -3/4 (*.f64 (sqrt.f64 -1) h))) (pow.f64 g 4)) (*.f64 h h)))))
(fma.f64 -1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (sqrt.f64 -1) h (*.f64 -1/3 (/.f64 (*.f64 (fma.f64 (/.f64 3/8 h) (sqrt.f64 -1) (/.f64 -3/4 (*.f64 (sqrt.f64 -1) h))) (pow.f64 g 4)) (*.f64 h h)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 (sqrt.f64 -1) h) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 3/8 (/.f64 (sqrt.f64 -1) h)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 -1) h)))) (pow.f64 g 4)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2)))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/16 (/.f64 (sqrt.f64 -1) (pow.f64 h 3))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 3/8 (/.f64 (sqrt.f64 -1) h)) (*.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 -1) h)))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))))) (pow.f64 g 6)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2)))))))
(fma.f64 -1/2 (/.f64 (*.f64 g g) (*.f64 (sqrt.f64 -1) h)) (fma.f64 (sqrt.f64 -1) h (*.f64 1/3 (+.f64 (/.f64 (-.f64 (*.f64 3/8 (/.f64 (sqrt.f64 -1) h)) (/.f64 3/4 (*.f64 (sqrt.f64 -1) h))) (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 h h)) (pow.f64 g 4))) (*.f64 (/.f64 (-.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 -1) (pow.f64 h 3)) (/.f64 1/8 (*.f64 (pow.f64 h 3) (pow.f64 (sqrt.f64 -1) 3)))) (neg.f64 (/.f64 (-.f64 (*.f64 3/8 (/.f64 (sqrt.f64 -1) h)) (/.f64 3/4 (*.f64 (sqrt.f64 -1) h))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 h h))))) (pow.f64 (sqrt.f64 -1) 2)) (/.f64 (pow.f64 g 6) (*.f64 h h)))))))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (sqrt.f64 -1) h (*.f64 -1/3 (/.f64 (*.f64 (fma.f64 3/8 (/.f64 (sqrt.f64 -1) h) (/.f64 -3/4 (*.f64 (sqrt.f64 -1) h))) (pow.f64 g 4)) (*.f64 h h))))) (*.f64 -1/3 (/.f64 (*.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 -1) (pow.f64 h 3)) (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 h 3)) (/.f64 (fma.f64 3/8 (/.f64 (sqrt.f64 -1) h) (/.f64 -3/4 (*.f64 (sqrt.f64 -1) h))) (*.f64 -1 (*.f64 h h))))) (pow.f64 g 6)) (*.f64 h h))))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (sqrt.f64 -1) h (*.f64 -1/3 (/.f64 (*.f64 (fma.f64 (/.f64 3/8 h) (sqrt.f64 -1) (/.f64 -3/4 (*.f64 (sqrt.f64 -1) h))) (pow.f64 g 4)) (*.f64 h h))))) (*.f64 -1/3 (/.f64 (*.f64 (fma.f64 1/16 (/.f64 (sqrt.f64 -1) (pow.f64 h 3)) (-.f64 (/.f64 1/8 (*.f64 (pow.f64 h 3) (neg.f64 (sqrt.f64 -1)))) (/.f64 (fma.f64 (/.f64 3/8 h) (sqrt.f64 -1) (/.f64 -3/4 (*.f64 (sqrt.f64 -1) h))) (*.f64 h h)))) (pow.f64 g 6)) (*.f64 h h))))
g
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) g)
(fma.f64 -1/2 (/.f64 (*.f64 h h) g) g)
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) g)
(fma.f64 -1/2 (*.f64 h (/.f64 h g)) g)
(+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 (*.f64 9/8 (*.f64 (pow.f64 g 3) (pow.f64 h 4))) (*.f64 -3/4 (*.f64 (pow.f64 g 3) (pow.f64 h 4)))) (*.f64 3/4 (*.f64 (pow.f64 g 3) (pow.f64 h 4)))) (pow.f64 g 6))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) g))
(fma.f64 1/3 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 g 3) (pow.f64 h 4)) 3/8) (*.f64 (*.f64 -3/4 (pow.f64 g 3)) (pow.f64 h 4))) (pow.f64 g 6)) (fma.f64 -1/2 (/.f64 (*.f64 h h) g) g))
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(*.f64 (sqrt.f64 -1) h)
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(fma.f64 (sqrt.f64 -1) h g)
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(fma.f64 -1/2 (/.f64 (*.f64 g g) (*.f64 (sqrt.f64 -1) h)) (fma.f64 (sqrt.f64 -1) h g))
(fma.f64 -1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (sqrt.f64 -1) h g))
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g
(*.f64 2 g)
(*.f64 g 2)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 2 g))
(fma.f64 -1/2 (/.f64 (*.f64 h h) g) (*.f64 g 2))
(fma.f64 g 2 (/.f64 (*.f64 -1/2 (*.f64 h h)) g))
(fma.f64 g 2 (*.f64 (/.f64 -1/2 g) (*.f64 h h)))
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g
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(fma.f64 -1/6 (*.f64 (*.f64 (/.f64 (cbrt.f64 -1/2) (*.f64 h h)) (*.f64 g g)) (cbrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) a) (pow.f64 (+.f64 g (cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))))) 2)))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 g (cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))))) 2))) (*.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 h 6)) (-.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 g 6) 1/16) (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1)))) (fma.f64 (neg.f64 (fma.f64 (*.f64 3/8 (pow.f64 g 4)) (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) (*.f64 (*.f64 (pow.f64 g 4) -3/4) (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1)))))) (*.f64 g g) (*.f64 (pow.f64 g 6) (*.f64 -1/8 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))))))) a) 1/3)) (fma.f64 (*.f64 -1/3 (*.f64 (/.f64 (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2))) (/.f64 (fma.f64 (*.f64 3/8 (pow.f64 g 4)) (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) (*.f64 (*.f64 (pow.f64 g 4) -3/4) (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))))) a)) (*.f64 (*.f64 -1/12 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2))) (/.f64 (pow.f64 g 4) (*.f64 (+.f64 g (cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))))) a)))) (+.f64 g (cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1)))))) (*.f64 g g))) (cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1)))) (*.f64 -1/216 (/.f64 (pow.f64 g 6) (/.f64 (pow.f64 (+.f64 g (cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))))) 2) (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) a)))))))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 g (cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))))) 2))) (/.f64 (cbrt.f64 -1/2) (/.f64 (pow.f64 h 4) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2))) (/.f64 (fma.f64 (*.f64 3/8 (pow.f64 g 4)) (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) (*.f64 (*.f64 (pow.f64 g 4) -3/4) (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))))) a)) (*.f64 (*.f64 -1/12 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2))) (/.f64 (pow.f64 g 4) (*.f64 (+.f64 g (cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))))) a))))))) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 (/.f64 (+.f64 g (cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))))) a))))))
(fma.f64 -1/6 (*.f64 (*.f64 (/.f64 (cbrt.f64 -1/2) (*.f64 h h)) (*.f64 g g)) (cbrt.f64 (/.f64 (/.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)) a) (pow.f64 (+.f64 g (cbrt.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)))) 2)))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 g (cbrt.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)))) 2))) (*.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 h 6)) (-.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)) 2))) (*.f64 (/.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 g 6) 1/16) (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)) (*.f64 g (*.f64 g (fma.f64 (pow.f64 g 4) (*.f64 3/8 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3))) (*.f64 (*.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)) -3/4) (pow.f64 g 4)))))) (*.f64 1/8 (*.f64 (pow.f64 g 6) (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3))))) a) 1/3)) (fma.f64 (*.f64 -1/3 (*.f64 (*.f64 g g) (/.f64 (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)) 2))) (/.f64 (fma.f64 (pow.f64 g 4) (*.f64 3/8 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3))) (*.f64 (*.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)) -3/4) (pow.f64 g 4))) a)) (*.f64 (*.f64 -1/12 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)) 2))) (/.f64 (pow.f64 g 4) (*.f64 (+.f64 g (cbrt.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)))) a)))) (+.f64 g (cbrt.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3))))))) (cbrt.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3))) (*.f64 -1/216 (/.f64 (pow.f64 g 6) (*.f64 (pow.f64 (+.f64 g (cbrt.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)))) 2) (/.f64 a (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)))))))))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 g (cbrt.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)))) 2))) (/.f64 (cbrt.f64 -1/2) (/.f64 (pow.f64 h 4) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)) 2))) (/.f64 (fma.f64 (pow.f64 g 4) (*.f64 3/8 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3))) (*.f64 (*.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)) -3/4) (pow.f64 g 4))) a)) (*.f64 (*.f64 -1/12 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)) 2))) (/.f64 (pow.f64 g 4) (*.f64 (+.f64 g (cbrt.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)))) a))))))) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 (/.f64 (+.f64 g (cbrt.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)))) a))))))

localize105.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
3.0b
(-.f64 (*.f64 g g) (*.f64 h h))
9.5b
(cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
27.3b
(sqrt.f64 (*.f64 h (neg.f64 h)))
30.4b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
Compiler

Compiled 183 to 44 computations (76% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
h
@0
(sqrt.f64 (*.f64 h (neg.f64 h)))
1.0ms
h
@inf
(sqrt.f64 (*.f64 h (neg.f64 h)))
0.0ms
h
@-inf
(sqrt.f64 (*.f64 h (neg.f64 h)))

rewrite59.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
289×pow1_binary64
282×add-sqr-sqrt_binary64
274×*-un-lft-identity_binary64
270×add-log-exp_binary64
269×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058
11041
213331
Stop Event
node limit
Counts
1 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 h (neg.f64 h)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))) (#(struct:change #<rule egg-rr> (2) ((x . h)))))

simplify27.0ms (0.3%)

Algorithm
egg-herbie
Rules
38×fma-def_binary64
sub-neg_binary64
+-commutative_binary64
*-commutative_binary64
distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0680
11180
22480
32880
43280
55080
67280
78380
89580
912080
Stop Event
saturated
Counts
13 → 4
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 -1 (*.f64 (sqrt.f64 -1) h))
(*.f64 -1 (*.f64 (sqrt.f64 -1) h))
(*.f64 -1 (*.f64 (sqrt.f64 -1) h))
(*.f64 -1 (*.f64 (sqrt.f64 -1) h))
Outputs
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 -1 (*.f64 (sqrt.f64 -1) h))
(neg.f64 (*.f64 (sqrt.f64 -1) h))
(*.f64 (sqrt.f64 -1) (neg.f64 h))
(*.f64 -1 (*.f64 (sqrt.f64 -1) h))
(neg.f64 (*.f64 (sqrt.f64 -1) h))
(*.f64 (sqrt.f64 -1) (neg.f64 h))
(*.f64 -1 (*.f64 (sqrt.f64 -1) h))
(neg.f64 (*.f64 (sqrt.f64 -1) h))
(*.f64 (sqrt.f64 -1) (neg.f64 h))
(*.f64 -1 (*.f64 (sqrt.f64 -1) h))
(neg.f64 (*.f64 (sqrt.f64 -1) h))
(*.f64 (sqrt.f64 -1) (neg.f64 h))

eval1.7s (15.8%)

Compiler

Compiled 60334 to 33483 computations (44.5% saved)

prune747.0ms (6.9%)

Pruning

34 alts after pruning (34 fresh and 0 done)

PrunedKeptTotal
New1253321285
Fresh18220
Picked101
Done505
Total1277341311
Error
13.8b
Counts
1311 → 34
Alt Table
Click to see full alt table
StatusErrorProgram
48.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g a))) 3))))
60.4b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 1/2 a)) 2))))
19.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a))))
48.3b
(+.f64 (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
39.8b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 3)) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
48.6b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2)) (cbrt.f64 (/.f64 g a))))
46.5b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (*.f64 (/.f64 1/2 g) (*.f64 h h)) (/.f64 -1/2 a))))
46.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 g))))))
20.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (fma.f64 -1/2 (*.f64 h (/.f64 h g)) g) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))))
48.5b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (/.f64 a g))))))
53.9b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) 2) (/.f64 -1/2 a))))
39.8b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/8) (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/8)) 2) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
53.1b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2) 1/3)) (/.f64 -1/2 a))))
53.9b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) 3) (/.f64 -1/2 a))))
62.2b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
49.0b
(+.f64 (+.f64 0 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) g) a)))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
46.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4) 2) g))) (cbrt.f64 (*.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
48.3b
(+.f64 (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) g))) (cbrt.f64 a)) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
46.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (pow.f64 (/.f64 (*.f64 1 g) a) 1/3) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
45.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (*.f64 g -2))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
56.4b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 g) (pow.f64 (/.f64 1 a) 1/3)))))
48.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 (/.f64 -1/2 a)) (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))
52.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (cbrt.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) 3) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
40.3b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/4)) 2) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
44.8b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)))) (/.f64 -1/2 a))))
46.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1 a))))))
61.4b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (*.f64 (/.f64 1/2 g) (*.f64 h h)) (/.f64 -1/2 a))))
50.5b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 3))) (/.f64 -1/2 a))))
50.9b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (cbrt.f64 a)))
50.6b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (/.f64 -1/2 (/.f64 g (*.f64 h h))))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
20.2b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))))
46.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))))
50.2b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/6) (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (/.f64 -1/2 a))))
62.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (fma.f64 1/2 (*.f64 (/.f64 h g) h) (*.f64 (/.f64 1/8 (pow.f64 g 3)) (pow.f64 h 4))) (/.f64 -1/2 a))))
Compiler

Compiled 2092 to 1446 computations (30.9% saved)

localize36.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (+.f64 g g) (/.f64 -1/2 a))
18.3b
(cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a)))
Compiler

Compiled 66 to 34 computations (48.5% saved)

series12.0ms (0.1%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
1.0ms
g
@0
(*.f64 (+.f64 g g) (/.f64 -1/2 a))
1.0ms
g
@0
(cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a)))
1.0ms
g
@inf
(*.f64 (+.f64 g g) (/.f64 -1/2 a))
1.0ms
a
@0
(*.f64 (+.f64 g g) (/.f64 -1/2 a))
1.0ms
a
@inf
(*.f64 (+.f64 g g) (/.f64 -1/2 a))

rewrite85.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
825×pow1_binary64
776×add-log-exp_binary64
774×log1p-expm1-u_binary64
774×expm1-log1p-u_binary64
760×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0822
117616
2242816
Stop Event
node limit
Counts
2 → 61
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a)))
(*.f64 (+.f64 g g) (/.f64 -1/2 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 g g) (cbrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 g g) (cbrt.f64 (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 g g) (cbrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 g g) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 g g) (cbrt.f64 a))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 g g) (cbrt.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 g g) (cbrt.f64 a))) 2) (cbrt.f64 (/.f64 (+.f64 g g) (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/2 a)) (+.f64 g g))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 g g) a) 1/6) (pow.f64 (/.f64 (+.f64 g g) a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 (+.f64 g g) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 g g) (cbrt.f64 a)) 2) 1/3) (cbrt.f64 (/.f64 (+.f64 g g) (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 g g) (sqrt.f64 a)) 1/3) (pow.f64 (/.f64 (+.f64 g g) (sqrt.f64 a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 g g) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 g g) a) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 g g) (cbrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 g g) (cbrt.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 g g) a) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 g g) (cbrt.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 g g) (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 g g) (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 g g) (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 g g) (cbrt.f64 a))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 g (/.f64 -1/2 a)) (*.f64 g (/.f64 -1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1/2 a) g) (*.f64 (/.f64 -1/2 a) g))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 g g) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 g g) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 g g) (*.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (+.f64 g g)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 g g) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 g 3)) (*.f64 (*.f64 a -2) (fma.f64 g g 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 (*.f64 0 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 (*.f64 0 (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 (*.f64 0 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 (*.f64 a 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 (*.f64 (*.f64 a -2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 (*.f64 (neg.f64 a) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 g g)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 g 3)) -1/2) (*.f64 (fma.f64 g g 0) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 g 3)) 1) (*.f64 (fma.f64 g g 0) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 g 3)) 1/2) (*.f64 (fma.f64 g g 0) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 2 (pow.f64 g 3))) (*.f64 a (fma.f64 g g 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 2 (pow.f64 g 3))) (*.f64 (neg.f64 a) (fma.f64 g g 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 g g) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 g g) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 g 3)) (/.f64 -1/2 a)) (fma.f64 g g 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (/.f64 -1/2 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (+.f64 g g)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 g g) 1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 a) (*.f64 2 (pow.f64 g 3))) (fma.f64 g g 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1/2 a) 0) 0)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 g g) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 g g) (cbrt.f64 a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 g g) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 g g) (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (+.f64 g g) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 g g) a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 g g) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (+.f64 g g) (pow.f64 (/.f64 -1/2 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1/2 a) 3) (+.f64 g g)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 g g) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 g g) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 g g) a)))))))

simplify21.0ms (0.2%)

Algorithm
egg-herbie
Rules
14×fma-def_binary64
sub-neg_binary64
+-commutative_binary64
fma-neg_binary64
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06144
110144
217144
323144
429144
537144
645144
755144
863144
977144
Stop Event
saturated
Counts
85 → 63
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
Outputs
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)

localize27.0ms (0.3%)

Compiler

Compiled 72 to 35 computations (51.4% saved)

localize82.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
3.0b
(-.f64 (*.f64 g g) (*.f64 h h))
17.3b
(cbrt.f64 (*.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2) 1/3)) (/.f64 -1/2 a)))
33.8b
(+.f64 g (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2) 1/3))
41.1b
(pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2) 1/3)
Compiler

Compiled 142 to 64 computations (54.9% saved)

localize86.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
3.0b
(-.f64 (*.f64 g g) (*.f64 h h))
9.5b
(cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
27.3b
(sqrt.f64 (*.f64 h (neg.f64 h)))
30.4b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
Compiler

Compiled 185 to 46 computations (75.1% saved)

localize112.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
2.6b
(pow.f64 (/.f64 1 a) 1/3)
3.0b
(-.f64 (*.f64 g g) (*.f64 h h))
9.8b
(cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)))
30.4b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
Compiler

Compiled 151 to 73 computations (51.7% saved)

series3.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
a
@-inf
(pow.f64 (/.f64 1 a) 1/3)
1.0ms
a
@0
(pow.f64 (/.f64 1 a) 1/3)
1.0ms
a
@inf
(pow.f64 (/.f64 1 a) 1/3)

rewrite55.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
477×pow1_binary64
471×add-sqr-sqrt_binary64
453×*-un-lft-identity_binary64
452×add-log-exp_binary64
451×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
11266
213076
Stop Event
node limit
Counts
1 → 17
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 a) 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (cbrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 a))) (cbrt.f64 (cbrt.f64 (pow.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 a -2))) (cbrt.f64 (/.f64 1 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1/6) (pow.f64 a -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 1 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 a -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 a -1/2) 1/3) (pow.f64 (pow.f64 a -1/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (cbrt.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 (neg.f64 (log.f64 a))))))))

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
17 → 17
Calls
Call 1
Inputs
Outputs

eval791.0ms (7.3%)

Compiler

Compiled 33550 to 20105 computations (40.1% saved)

prune207.0ms (1.9%)

Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New74815763
Fresh111829
Picked101
Done314
Total76334797
Error
8.2b
Counts
797 → 34
Alt Table
Click to see full alt table
StatusErrorProgram
48.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g a))) 3))))
60.4b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 1/2 a)) 2))))
19.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a))))
45.9b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (*.f64 (/.f64 -1/2 a) (*.f64 2 (pow.f64 g 3))) (fma.f64 g g 0))))
19.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (neg.f64 g) a)))
56.4b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 g) (exp.f64 (*.f64 1/3 (neg.f64 (log.f64 a))))))))
48.3b
(+.f64 (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
39.8b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 3)) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
34.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 g) (pow.f64 (/.f64 1 a) 1/3)))))
46.5b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (*.f64 (/.f64 1/2 g) (*.f64 h h)) (/.f64 -1/2 a))))
50.4b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g (*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/4) 1/3) (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/4) 1/3))) (/.f64 -1/2 a))))
50.4b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/4) 1/3) (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/4) 1/3) g) (/.f64 -1/2 a))))
50.9b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (cbrt.f64 (/.f64 -1/2 a)) (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))
20.2b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))))
46.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 g))))))
62.2b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 0 (/.f64 -1/2 a))))
20.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (fma.f64 -1/2 (*.f64 h (/.f64 h g)) g) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))))
48.5b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (/.f64 a g))))))
20.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2)) (cbrt.f64 (/.f64 g a))))
39.8b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/8) (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/8)) 2) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
46.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4) 2) g))) (cbrt.f64 (*.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
46.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1 a))))))
46.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (pow.f64 (/.f64 (*.f64 1 g) a) 1/3) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
45.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (*.f64 g -2))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
46.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (*.f64 (*.f64 2 (pow.f64 g 3)) -1/2) (*.f64 (fma.f64 g g 0) a))))
53.1b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g (pow.f64 (pow.f64 (*.f64 g g) 3/2) 1/3)) (/.f64 -1/2 a))))
50.5b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 3))) (/.f64 -1/2 a))))
60.2b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (+.f64 g g) (cbrt.f64 (/.f64 -1/2 a))))
50.9b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (cbrt.f64 a)))
50.6b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (/.f64 -1/2 (/.f64 g (*.f64 h h))))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
46.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))))
61.4b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (*.f64 (/.f64 1/2 g) (*.f64 h h)) (/.f64 -1/2 a))))
50.2b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/6) (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (/.f64 -1/2 a))))
44.8b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)))) (/.f64 -1/2 a))))
Compiler

Compiled 1964 to 1366 computations (30.4% saved)

localize21.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
18.3b
(cbrt.f64 (/.f64 (neg.f64 g) a))
Compiler

Compiled 52 to 22 computations (57.7% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
0.0ms
g
@0
(cbrt.f64 (/.f64 (neg.f64 g) a))
0.0ms
g
@inf
(cbrt.f64 (/.f64 (neg.f64 g) a))
0.0ms
a
@inf
(cbrt.f64 (/.f64 (neg.f64 g) a))
0.0ms
a
@-inf
(cbrt.f64 (/.f64 (neg.f64 g) a))
0.0ms
g
@-inf
(cbrt.f64 (/.f64 (neg.f64 g) a))

rewrite50.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
550×pow1_binary64
512×add-log-exp_binary64
511×log1p-expm1-u_binary64
511×expm1-log1p-u_binary64
499×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068
11286
217986
Stop Event
node limit
Counts
1 → 26
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 (neg.f64 g) a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (/.f64 g a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 g a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 g a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 g a))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g a))) 2) (cbrt.f64 (cbrt.f64 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 g) (pow.f64 (/.f64 1 a) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 g a) 1/6) (pow.f64 (/.f64 g a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 g a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 g a)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 g a)) 1/3) (pow.f64 (sqrt.f64 (/.f64 g a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 a g)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 g)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 g) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 g) (cbrt.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 g a) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 g a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 g a) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 g a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 g a))))))))

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
26 → 26
Calls
Call 1
Inputs
Outputs

localize25.0ms (0.2%)

Compiler

Compiled 58 to 37 computations (36.2% saved)

localize46.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
1.0b
(cbrt.f64 2)
18.0b
(pow.f64 (/.f64 (*.f64 1 g) a) 1/3)
Compiler

Compiled 90 to 64 computations (28.9% saved)

series3.0ms (0%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
0.0ms
g
@0
(pow.f64 (/.f64 (*.f64 1 g) a) 1/3)
0.0ms
g
@-inf
(pow.f64 (/.f64 (*.f64 1 g) a) 1/3)
0.0ms
a
@-inf
(pow.f64 (/.f64 (*.f64 1 g) a) 1/3)
0.0ms
g
@inf
(pow.f64 (/.f64 (*.f64 1 g) a) 1/3)
0.0ms
a
@inf
(pow.f64 (/.f64 (*.f64 1 g) a) 1/3)

rewrite68.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
761×pow1_binary64
710×add-log-exp_binary64
710×log1p-expm1-u_binary64
710×expm1-log1p-u_binary64
693×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109
12039
219769
Stop Event
node limit
Counts
2 → 35
Calls
Call 1
Inputs
(pow.f64 (/.f64 (*.f64 1 g) a) 1/3)
(cbrt.f64 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (/.f64 g a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 g a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 g a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 g a))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g a))) 2) (cbrt.f64 (cbrt.f64 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 g) (pow.f64 (/.f64 1 a) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 g a) 1/6) (pow.f64 (/.f64 g a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 g a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 g a)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 g a)) 1/3) (pow.f64 (sqrt.f64 (/.f64 g a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 a g)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 g) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 g)) (cbrt.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 g a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 g a))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 g a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 g a))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 4)) (cbrt.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/6) (pow.f64 2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 2 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 2)))))))

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
35 → 35
Calls
Call 1
Inputs
Outputs

localize38.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 a)
27.3b
(sqrt.f64 (*.f64 h (neg.f64 h)))
Compiler

Compiled 120 to 39 computations (67.5% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
a
@-inf
(cbrt.f64 a)
1.0ms
a
@0
(cbrt.f64 a)
0.0ms
a
@inf
(cbrt.f64 a)

rewrite89.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
382×expm1-udef_binary64
382×log1p-udef_binary64
271×associate-*r*_binary64
247×pow1_binary64
240×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
1573
26413
368513
Stop Event
node limit
Counts
1 → 47
Calls
Call 1
Inputs
(cbrt.f64 a)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cbrt.f64 a) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cbrt.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 a)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (cbrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 1/6) (pow.f64 a 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 a 4)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 2) (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 1/6) (*.f64 (pow.f64 (cbrt.f64 a) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 1/12) (pow.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 1/12) (*.f64 (pow.f64 a 1/12) (pow.f64 a 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 1/4) (pow.f64 a 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 a 5/6)) (pow.f64 (cbrt.f64 a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 a 4))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 5)) (pow.f64 (cbrt.f64 a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 a 4))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 a 5/6) 1/3) (pow.f64 (cbrt.f64 a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 a 1/6) (cbrt.f64 (cbrt.f64 a))) (pow.f64 (cbrt.f64 a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 a 4))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (pow.f64 (cbrt.f64 a) 1/6)) (pow.f64 (cbrt.f64 a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (cbrt.f64 a) 1) 3) 1) (+.f64 (*.f64 (+.f64 (cbrt.f64 a) 1) (+.f64 (cbrt.f64 a) 1)) (+.f64 1 (+.f64 (cbrt.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (cbrt.f64 a) 1) (+.f64 (cbrt.f64 a) 1)) 1) (+.f64 (+.f64 (cbrt.f64 a) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 a 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a a) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 a) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 a)))) (sqrt.f64 (log.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 a))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 a)) 2))))))

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
47 → 47
Calls
Call 1
Inputs
Outputs

localize48.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.1b
(-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)
3.0b
(-.f64 (*.f64 g g) (*.f64 h h))
9.8b
(cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)))
30.4b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
Compiler

Compiled 145 to 56 computations (61.4% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
h
@0
(-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)
0.0ms
g
@inf
(-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)
0.0ms
g
@0
(-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)
0.0ms
g
@-inf
(-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)
0.0ms
h
@-inf
(-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)

rewrite77.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
747×fma-def_binary64
443×log-prod_binary64
325×pow-prod-down_binary64
325×fma-neg_binary64
248×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0815
119015
2289414
Stop Event
node limit
Counts
1 → 93
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) (neg.f64 g))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) (*.f64 (neg.f64 g) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) g) (fma.f64 (neg.f64 g) 1 g))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) g) (fma.f64 (neg.f64 (cbrt.f64 g)) (pow.f64 (cbrt.f64 g) 2) g))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) g) (+.f64 (neg.f64 g) g))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 g) (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) g))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 g (sqrt.f64 (*.f64 h 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simplify80.0ms (0.7%)

Algorithm
egg-herbie
Rules
585×fma-neg_binary64
490×times-frac_binary64
455×associate-/r/_binary64
350×fma-def_binary64
282×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
088616
1263601
2837587
34188581
47375579
Stop Event
node limit
Counts
117 → 126
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 (sqrt.f64 -1) h) (*.f64 -1 g))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 (sqrt.f64 -1) h) (*.f64 -1 g)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (*.f64 (sqrt.f64 -1) h) (*.f64 -1 g))))
(*.f64 -1/2 (/.f64 (pow.f64 h 2) g))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 h 8)) (pow.f64 (*.f64 -1/8 (pow.f64 h 4)) 2)) (pow.f64 g 7))) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(*.f64 -2 g)
(+.f64 (*.f64 -2 g) (*.f64 1/2 (/.f64 (pow.f64 h 2) g)))
(+.f64 (*.f64 -2 g) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (*.f64 -2 g) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(*.f64 -1/2 (/.f64 (pow.f64 h 2) g))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 g 6))) (pow.f64 (/.f64 -1/8 (pow.f64 g 3)) 2)) (pow.f64 h 8)) g)) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 (sqrt.f64 -1) h) (*.f64 -1 g))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 (sqrt.f64 -1) h) (*.f64 -1 g)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (*.f64 (sqrt.f64 -1) h) (*.f64 -1 g))))
(*.f64 -1 (*.f64 (sqrt.f64 -1) h))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) h)) (*.f64 -1 g))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) h)) (*.f64 -1 g)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) h)) (+.f64 (*.f64 -1 g) (*.f64 1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))))))
Outputs
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 (sqrt.f64 -1) h) (*.f64 -1 g))
(fma.f64 (sqrt.f64 -1) h (neg.f64 g))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 (sqrt.f64 -1) h) (*.f64 -1 g)))
(fma.f64 1/2 (/.f64 (*.f64 g g) (*.f64 (sqrt.f64 -1) h)) (fma.f64 (sqrt.f64 -1) h (neg.f64 g)))
(fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (sqrt.f64 -1) h (neg.f64 g)))
(-.f64 (fma.f64 1/2 (/.f64 g (/.f64 h (/.f64 g (sqrt.f64 -1)))) (*.f64 (sqrt.f64 -1) h)) g)
(-.f64 (fma.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 g (/.f64 h g)) (*.f64 (sqrt.f64 -1) h)) g)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (*.f64 (sqrt.f64 -1) h) (*.f64 -1 g))))
(fma.f64 1/2 (/.f64 (*.f64 g g) (*.f64 (sqrt.f64 -1) h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h (neg.f64 g))))
(fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (-.f64 (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) (*.f64 (sqrt.f64 -1) h)) g))
(fma.f64 1/2 (/.f64 g (/.f64 h (/.f64 g (sqrt.f64 -1)))) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) (fma.f64 (sqrt.f64 -1) h (neg.f64 g))))
(fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) (fma.f64 (sqrt.f64 -1) h (neg.f64 g))))
(fma.f64 (sqrt.f64 -1) h (-.f64 (*.f64 (*.f64 (/.f64 g (sqrt.f64 -1)) g) (+.f64 (/.f64 1/2 h) (/.f64 (*.f64 (*.f64 g g) -1/8) (neg.f64 (pow.f64 h 3))))) g))
(*.f64 -1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 -1/2 (/.f64 (*.f64 h h) g))
(*.f64 -1/2 (/.f64 h (/.f64 g h)))
(*.f64 -1/2 (*.f64 (/.f64 h g) h))
(*.f64 (/.f64 -1/2 g) (*.f64 h h))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))
(fma.f64 -1/2 (/.f64 (*.f64 h h) g) (/.f64 (*.f64 -1/8 (pow.f64 h 4)) (pow.f64 g 3)))
(fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (*.f64 -1/2 (/.f64 h (/.f64 g h))))
(fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (*.f64 -1/2 (*.f64 (/.f64 h g) h)))
(fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (*.f64 (/.f64 -1/2 g) (*.f64 h h)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 -1/2 (/.f64 (*.f64 h h) g) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (/.f64 (*.f64 -1/8 (pow.f64 h 4)) (pow.f64 g 3))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (/.f64 -1/16 (/.f64 (pow.f64 g 5) (pow.f64 h 6)))))
(fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (fma.f64 -1/2 (*.f64 (/.f64 h g) h) (*.f64 (/.f64 -1/16 (pow.f64 g 5)) (pow.f64 h 6))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (pow.f64 h 8)) (pow.f64 (*.f64 -1/8 (pow.f64 h 4)) 2)) (pow.f64 g 7))) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (/.f64 (*.f64 h h) g) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (pow.f64 h 8) (pow.f64 (*.f64 -1/8 (pow.f64 h 4)) 2)) (pow.f64 g 7)) (/.f64 (*.f64 -1/8 (pow.f64 h 4)) (pow.f64 g 3)))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (*.f64 -1/2 (/.f64 (fma.f64 1/16 (pow.f64 h 8) (*.f64 (pow.f64 h 8) 1/64)) (pow.f64 g 7))))))
(fma.f64 -1/2 (*.f64 (/.f64 h g) h) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (*.f64 (/.f64 -1/2 (pow.f64 g 7)) (*.f64 (pow.f64 h 8) 5/64)))))
(fma.f64 -1/2 (*.f64 (/.f64 h g) h) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (/.f64 (*.f64 (pow.f64 h 8) -5/128) (pow.f64 g 7)))))
(*.f64 -2 g)
(*.f64 g -2)
(+.f64 (*.f64 -2 g) (*.f64 1/2 (/.f64 (pow.f64 h 2) g)))
(fma.f64 -2 g (/.f64 (*.f64 1/2 (*.f64 h h)) g))
(fma.f64 g -2 (*.f64 1/2 (/.f64 h (/.f64 g h))))
(fma.f64 g -2 (*.f64 1/2 (*.f64 (/.f64 h g) h)))
(+.f64 (*.f64 -2 g) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 -2 g (fma.f64 1/2 (/.f64 (*.f64 h h) g) (*.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8)))
(fma.f64 g -2 (fma.f64 1/2 (/.f64 h (/.f64 g h)) (*.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8)))
(fma.f64 g -2 (fma.f64 1/2 (*.f64 (/.f64 h g) h) (*.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8)))
(fma.f64 1/2 (*.f64 (/.f64 h g) h) (fma.f64 g -2 (*.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8)))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (*.f64 -2 g) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 -2 g (fma.f64 1/2 (/.f64 (*.f64 h h) g) (*.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8))))
(fma.f64 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) 1/16 (fma.f64 g -2 (fma.f64 1/2 (/.f64 h (/.f64 g h)) (*.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8))))
(fma.f64 g -2 (fma.f64 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) 1/16 (fma.f64 1/2 (*.f64 (/.f64 h g) h) (*.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8))))
(*.f64 -1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 -1/2 (/.f64 (*.f64 h h) g))
(*.f64 -1/2 (/.f64 h (/.f64 g h)))
(*.f64 -1/2 (*.f64 (/.f64 h g) h))
(*.f64 (/.f64 -1/2 g) (*.f64 h h))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))
(fma.f64 -1/2 (/.f64 (*.f64 h h) g) (/.f64 (*.f64 -1/8 (pow.f64 h 4)) (pow.f64 g 3)))
(fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (*.f64 -1/2 (/.f64 h (/.f64 g h))))
(fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (*.f64 -1/2 (*.f64 (/.f64 h g) h)))
(fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (*.f64 (/.f64 -1/2 g) (*.f64 h h)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 -1/2 (/.f64 (*.f64 h h) g) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (/.f64 (*.f64 -1/8 (pow.f64 h 4)) (pow.f64 g 3))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (/.f64 -1/16 (/.f64 (pow.f64 g 5) (pow.f64 h 6)))))
(fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (fma.f64 -1/2 (*.f64 (/.f64 h g) h) (*.f64 (/.f64 -1/16 (pow.f64 g 5)) (pow.f64 h 6))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 g 6))) (pow.f64 (/.f64 -1/8 (pow.f64 g 3)) 2)) (pow.f64 h 8)) g)) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (/.f64 (*.f64 h h) g) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 g 6)) (pow.f64 (/.f64 -1/8 (pow.f64 g 3)) 2)) (/.f64 g (pow.f64 h 8))) (/.f64 (*.f64 -1/8 (pow.f64 h 4)) (pow.f64 g 3)))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 g 6)) (pow.f64 (/.f64 -1/8 (pow.f64 g 3)) 2)) g) (pow.f64 h 8))))))
(fma.f64 -1/2 (*.f64 (/.f64 h g) h) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 h 8) g) (+.f64 (/.f64 1/16 (pow.f64 g 6)) (pow.f64 (/.f64 -1/8 (pow.f64 g 3)) 2))) (*.f64 (/.f64 -1/16 (pow.f64 g 5)) (pow.f64 h 6)))))
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (*.f64 (/.f64 -1/16 (pow.f64 g 5)) (pow.f64 h 6))) (*.f64 (/.f64 -1/2 g) (+.f64 (*.f64 h h) (*.f64 (pow.f64 h 8) (+.f64 (/.f64 1/16 (pow.f64 g 6)) (pow.f64 (/.f64 -1/8 (pow.f64 g 3)) 2))))))
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 (sqrt.f64 -1) h) (*.f64 -1 g))
(fma.f64 (sqrt.f64 -1) h (neg.f64 g))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 (sqrt.f64 -1) h) (*.f64 -1 g)))
(fma.f64 1/2 (/.f64 (*.f64 g g) (*.f64 (sqrt.f64 -1) h)) (fma.f64 (sqrt.f64 -1) h (neg.f64 g)))
(fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (sqrt.f64 -1) h (neg.f64 g)))
(-.f64 (fma.f64 1/2 (/.f64 g (/.f64 h (/.f64 g (sqrt.f64 -1)))) (*.f64 (sqrt.f64 -1) h)) g)
(-.f64 (fma.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 g (/.f64 h g)) (*.f64 (sqrt.f64 -1) h)) g)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (*.f64 (sqrt.f64 -1) h) (*.f64 -1 g))))
(fma.f64 1/2 (/.f64 (*.f64 g g) (*.f64 (sqrt.f64 -1) h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h (neg.f64 g))))
(fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (-.f64 (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) (*.f64 (sqrt.f64 -1) h)) g))
(fma.f64 1/2 (/.f64 g (/.f64 h (/.f64 g (sqrt.f64 -1)))) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) (fma.f64 (sqrt.f64 -1) h (neg.f64 g))))
(fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) (fma.f64 (sqrt.f64 -1) h (neg.f64 g))))
(fma.f64 (sqrt.f64 -1) h (-.f64 (*.f64 (*.f64 (/.f64 g (sqrt.f64 -1)) g) (+.f64 (/.f64 1/2 h) (/.f64 (*.f64 (*.f64 g g) -1/8) (neg.f64 (pow.f64 h 3))))) g))
(*.f64 -1 (*.f64 (sqrt.f64 -1) h))
(neg.f64 (*.f64 (sqrt.f64 -1) h))
(*.f64 (sqrt.f64 -1) (neg.f64 h))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) h)) (*.f64 -1 g))
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -1) h) g))
(neg.f64 (fma.f64 (sqrt.f64 -1) h g))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) h)) (*.f64 -1 g)))
(fma.f64 -1/2 (/.f64 (*.f64 g g) (*.f64 (sqrt.f64 -1) h)) (*.f64 -1 (+.f64 (*.f64 (sqrt.f64 -1) h) g)))
(fma.f64 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) -1/2 (neg.f64 (fma.f64 (sqrt.f64 -1) h g)))
(-.f64 (*.f64 (/.f64 g (/.f64 h g)) (/.f64 -1/2 (sqrt.f64 -1))) (fma.f64 (sqrt.f64 -1) h g))
(-.f64 (*.f64 (*.f64 (/.f64 g (sqrt.f64 -1)) g) (/.f64 -1/2 h)) (fma.f64 (sqrt.f64 -1) h g))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 g 2) (*.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 -1) h)) (+.f64 (*.f64 -1 g) (*.f64 1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))))))
(fma.f64 -1/2 (/.f64 (*.f64 g g) (*.f64 (sqrt.f64 -1) h)) (fma.f64 -1 (*.f64 (sqrt.f64 -1) h) (fma.f64 -1 g (*.f64 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) 1/8))))
(fma.f64 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) -1/2 (fma.f64 -1 (fma.f64 (sqrt.f64 -1) h g) (*.f64 (/.f64 (pow.f64 g 4) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) 1/8)))
(fma.f64 (/.f64 g (/.f64 h (/.f64 g (sqrt.f64 -1)))) -1/2 (-.f64 (*.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (sqrt.f64 -1) (pow.f64 h 3)))) (fma.f64 (sqrt.f64 -1) h g)))
(-.f64 (*.f64 (*.f64 (/.f64 g (sqrt.f64 -1)) g) (+.f64 (/.f64 -1/2 h) (/.f64 (*.f64 (*.f64 g g) 1/8) (neg.f64 (pow.f64 h 3))))) (fma.f64 (sqrt.f64 -1) h g))

eval228.0ms (2.1%)

Compiler

Compiled 14751 to 8030 computations (45.6% saved)

prune101.0ms (0.9%)

Pruning

34 alts after pruning (30 fresh and 4 done)

PrunedKeptTotal
New40711418
Fresh91928
Picked101
Done145
Total41834452
Error
0.9b
Counts
452 → 34
Alt Table
Click to see full alt table
StatusErrorProgram
2.4b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 g))))))
60.4b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 1/2 a)) 2))))
48.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g a))) 3))))
19.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a))))
53.6b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (expm1.f64 (log1p.f64 (cbrt.f64 a)))))
45.9b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (*.f64 (/.f64 -1/2 a) (*.f64 2 (pow.f64 g 3))) (fma.f64 g g 0))))
19.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (neg.f64 g) a)))
56.4b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 g) (exp.f64 (*.f64 1/3 (neg.f64 (log.f64 a))))))))
48.3b
(+.f64 (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
2.3b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 a)) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
46.5b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (*.f64 (/.f64 1/2 g) (*.f64 h h)) (/.f64 -1/2 a))))
50.9b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (cbrt.f64 (/.f64 -1/2 a)) (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))
20.2b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))))
61.5b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 a)))) (sqrt.f64 (log.f64 (cbrt.f64 a))))))
62.2b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 0 (/.f64 -1/2 a))))
20.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (fma.f64 -1/2 (*.f64 h (/.f64 h g)) g) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))))
57.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (pow.f64 (E.f64) (log.f64 (cbrt.f64 a)))))
20.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2)) (cbrt.f64 (/.f64 g a))))
39.8b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/8) (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/8)) 2) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
34.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (*.f64 (cbrt.f64 g) (pow.f64 (/.f64 1 a) 1/3)) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
61.4b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (*.f64 (/.f64 1/2 g) (*.f64 h h)) (/.f64 -1/2 a))))
2.2b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1 a))) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
1.9b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 g) (cbrt.f64 (neg.f64 a))))
51.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)))
46.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (pow.f64 (/.f64 (*.f64 1 g) a) 1/3) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
45.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (*.f64 g -2))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
46.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (*.f64 (*.f64 2 (pow.f64 g 3)) -1/2) (*.f64 (fma.f64 g g 0) a))))
53.1b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g (pow.f64 (pow.f64 (*.f64 g g) 3/2) 1/3)) (/.f64 -1/2 a))))
50.5b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 3))) (/.f64 -1/2 a))))
60.2b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (+.f64 g g) (cbrt.f64 (/.f64 -1/2 a))))
50.6b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (/.f64 -1/2 (/.f64 g (*.f64 h h))))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
19.3b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (/.f64 1 (cbrt.f64 (/.f64 a g))) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
20.3b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g a))) 2) (cbrt.f64 (cbrt.f64 (/.f64 g a)))) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
44.8b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)))) (/.f64 -1/2 a))))
Compiler

Compiled 923 to 662 computations (28.3% saved)

regimes449.0ms (4.2%)

Counts
85 → 1
Calls
Call 1
Inputs
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (neg.f64 g) a)))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 0 (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (+.f64 g g) (cbrt.f64 (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (*.f64 (/.f64 1/2 g) (*.f64 h h)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (*.f64 (/.f64 1/2 g) (*.f64 h h)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 g) (cbrt.f64 (neg.f64 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (*.f64 g -2))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (*.f64 (/.f64 1/2 g) (*.f64 h h)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (/.f64 -1/2 (/.f64 g (*.f64 h h))))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2)) (cbrt.f64 (/.f64 g a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (/.f64 1 (cbrt.f64 (/.f64 a g))) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (pow.f64 (/.f64 (*.f64 1 g) a) 1/3) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g (pow.f64 (pow.f64 (*.f64 g g) 3/2) 1/3)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (*.f64 (/.f64 -1/2 a) (*.f64 2 (pow.f64 g 3))) (fma.f64 g g 0))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (*.f64 (*.f64 2 (pow.f64 g 3)) -1/2) (*.f64 (fma.f64 g g 0) a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2) 1/3)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4) 2) g))) (cbrt.f64 (*.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (fma.f64 -1/2 (*.f64 h (/.f64 h g)) g) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (fma.f64 (/.f64 1/2 g) (*.f64 h h) (neg.f64 g))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 a)) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 g))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1 a))) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (*.f64 (cbrt.f64 g) (pow.f64 (/.f64 1 a) 1/3)) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 g) (pow.f64 (/.f64 1 a) 1/3)))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (cbrt.f64 (/.f64 -1/2 a)) (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (cbrt.f64 a)))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2)) (cbrt.f64 (/.f64 g a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (fma.f64 -1/2 (*.f64 h (/.f64 h g)) g) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 3))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (/.f64 a g))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (fma.f64 1/2 (*.f64 (/.f64 h g) h) (*.f64 (/.f64 1/8 (pow.f64 g 3)) (pow.f64 h 4))) (/.f64 -1/2 a))))
(+.f64 (+.f64 0 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) g) a)))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (/.f64 (-.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) g) a))) 1) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/6) (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 1/2)) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 1/2))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2) 1/3)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4) 2) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 1/2 a)) 2))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) 2) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) 3) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1 a))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 g))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1 a))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 g) (pow.f64 (/.f64 1 a) 1/3)))))
(+.f64 (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) g))) (cbrt.f64 a)) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 (/.f64 -1/2 a)) (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))
(+.f64 (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) g))) (cbrt.f64 a)) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (cbrt.f64 a)))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 3)) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 3))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/4)) 2) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g (*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/4) 1/3) (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/4) 1/3))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/8) (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/8)) 2) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (expm1.f64 (log1p.f64 (cbrt.f64 a)))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g a))) 3))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 g) (exp.f64 (*.f64 1/3 (neg.f64 (log.f64 a))))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (exp.f64 (log.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (exp.f64 (log.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (cbrt.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) 3) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (pow.f64 (cbrt.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) 3)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 1/2 a)) 2))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/4) 1/3) (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/4) 1/3) g) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (pow.f64 (E.f64) (log.f64 (cbrt.f64 a)))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g a))) 2) (cbrt.f64 (cbrt.f64 (/.f64 g a)))) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 g) 2) (*.f64 (cbrt.f64 g) g) (*.f64 h (neg.f64 h)))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 a)))) (sqrt.f64 (log.f64 (cbrt.f64 a))))))
Outputs
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 g) (cbrt.f64 (neg.f64 a))))
Calls

7 calls:

66.0ms
(/.f64 1 (*.f64 2 a))
63.0ms
(*.f64 2 a)
63.0ms
a
62.0ms
h
58.0ms
g
Results
ErrorSegmentsBranch
1.9b1g
1.9b1h
1.9b1a
1.9b1(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
1.9b1(/.f64 1 (*.f64 2 a))
1.9b1(*.f64 2 a)
1.9b1(*.f64 h h)
Compiler

Compiled 2429 to 1123 computations (53.8% saved)

regimes44.0ms (0.4%)

Counts
7 → 1
Calls
Call 1
Inputs
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (neg.f64 g) a)))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 0 (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (+.f64 g g) (cbrt.f64 (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (*.f64 (/.f64 1/2 g) (*.f64 h h)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (*.f64 (/.f64 1/2 g) (*.f64 h h)) (/.f64 -1/2 a))))
Outputs
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a))))
Calls

4 calls:

13.0ms
g
12.0ms
a
11.0ms
h
3.0ms
(*.f64 h h)
Results
ErrorSegmentsBranch
19.7b1g
19.7b1h
19.7b1a
19.7b1(*.f64 h h)
Compiler

Compiled 144 to 89 computations (38.2% saved)

regimes26.0ms (0.2%)

Accuracy

Total -42.9b remaining (-217.9%)

Threshold costs -42.9b (-217.9%)

Counts
3 → 1
Calls
Call 1
Inputs
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (neg.f64 g) a)))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 0 (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (+.f64 g g) (cbrt.f64 (/.f64 -1/2 a))))
Outputs
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (neg.f64 g) a)))
Calls

3 calls:

8.0ms
g
7.0ms
h
7.0ms
a
Results
ErrorSegmentsBranch
19.7b1g
19.7b1h
19.7b1a
Compiler

Compiled 61 to 41 computations (32.8% saved)

simplify20.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02372
13772
24472
34872
44972
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 g) (cbrt.f64 (neg.f64 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (neg.f64 g) a)))
Outputs
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 g) (cbrt.f64 (neg.f64 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (neg.f64 g) a)))
Compiler

Compiled 55 to 39 computations (29.1% saved)

soundness362.0ms (3.4%)

Algorithm
egg-herbie
Rules
729×fma-neg_binary64
529×unsub-neg_binary64
480×div-sub_binary64
394×times-frac_binary64
355×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02052
15450
215450
347948
4128848
5264548
6391948
7530148
8612148
9671548
10778948
06144
110144
217144
323144
429144
537144
645144
755144
863144
977144
Stop Event
saturated
node limit
Compiler

Compiled 568 to 336 computations (40.8% saved)

end64.0ms (0.6%)

Compiler

Compiled 49 to 31 computations (36.7% saved)

Profiling

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