Details

Time bar (total: 20.9s)

analyze415.0ms (2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%93.6%6.4%7
6.2%87.4%6.4%8
10.1%81.1%8.7%9
15.6%71%13.4%10
22%63%15%11
29.1%52.9%18.1%12
Compiler

Compiled 21 to 15 computations (28.6% saved)

sample2.9s (13.7%)

Results
997.0ms5564×body256valid
818.0ms1172×body2048valid
328.0ms767×body1024valid
320.0ms365×body4096valid
273.0ms1637×body256invalid
106.0ms388×body512valid

preprocess96.0ms (0.5%)

Algorithm
2×egg-herbie
Rules
795×fma-def_binary64
730×div-sub_binary64
558×associate-/r*_binary64
366×sub-neg_binary64
359×distribute-neg-frac_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034104
19288
221388
344288
475288
5124588
6221588
7445688
8729488
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 3 b) c)))) (*.f64 3 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 c) a)))) (*.f64 3 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 (*.f64 3 a) b)))) (*.f64 3 a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -3)))) b) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) (*.f64 3 a))
(*.f64 -1/3 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b)))) a))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -3))))) a) -1/3)
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -3))))) (/.f64 -1/3 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 3 b) c)))) (*.f64 3 b))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 3 (*.f64 b c))))) (*.f64 b 3))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 c (*.f64 b -3)))) a) (*.f64 b 3))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 b (*.f64 c -3)))) a) (*.f64 b 3))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 c -3) (*.f64 a a))) a) (*.f64 b 3))
(*.f64 -1/3 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -3) (*.f64 a a)))) b))
(*.f64 (-.f64 a (sqrt.f64 (fma.f64 b (*.f64 c -3) (*.f64 a a)))) (/.f64 -1/3 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 c) a)))) (*.f64 3 c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 3 (*.f64 c a))))) (*.f64 3 c))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -3)))) b) (*.f64 3 c))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c -3) (*.f64 b b))) b) (*.f64 3 c))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -3))))) c) -1/3)
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -3))))) (/.f64 -1/3 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 (*.f64 3 a) b)))) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 b (*.f64 3 a))))) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (*.f64 b (*.f64 a -3)))) c) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 a -3) (*.f64 c c))) c) (*.f64 3 a))
(*.f64 -1/3 (/.f64 (-.f64 c (sqrt.f64 (fma.f64 b (*.f64 a -3) (*.f64 c c)))) a))
(*.f64 (/.f64 (-.f64 c (sqrt.f64 (fma.f64 a (*.f64 b -3) (*.f64 c c)))) a) -1/3)
(*.f64 (-.f64 c (sqrt.f64 (fma.f64 b (*.f64 a -3) (*.f64 c c)))) (/.f64 -1/3 a))
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify129.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1220×fma-neg_binary64
827×fma-def_binary64
741×div-sub_binary64
403×associate-/l/_binary64
347×times-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01326
13022
26922
316022
426222
543122
674122
7133922
8283422
9474022
10624522
11686622
12704222
13714722
14763022
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3)))) b) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 -3 c)))) b) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -3)))) b) (*.f64 3 a))
(*.f64 -1/3 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -3))))) a))
(*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -3))))) a) -1/3)
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c -3))))) (/.f64 -1/3 a))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))

eval1.0ms (0%)

Compiler

Compiled 35 to 23 computations (34.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
32.9b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶33.1b
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
▶33.0b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
Compiler

Compiled 38 to 26 computations (31.6% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
✓0.7b
(fma.f64 b b (*.f64 c (*.f64 a -3)))
✓1.6b
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3)))) b)
✓23.1b
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3))))
Compiler

Compiled 62 to 36 computations (41.9% saved)

series33.0ms (0.2%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
3.0ms
b
@0
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
2.0ms
b
@inf
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
2.0ms
b
@0
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3))))
2.0ms
b
@0
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3)))) b)
2.0ms
a
@inf
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3))))

rewrite119.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
737×prod-diff_binary64
675×log-prod_binary64
315×fma-def_binary64
250×expm1-udef_binary64
250×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01362
128259
2366159
Stop Event
1×node limit
Counts
4 → 206
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3))))
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3)))) b)
(fma.f64 b b (*.f64 c (*.f64 a -3)))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) (cbrt.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 1/4) (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b))) (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b)) 2) (cbrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b)) (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 3/2) (pow.f64 b 3)) (/.f64 1 (fma.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) (fma.f64 c (*.f64 a -3) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) (*.f64 b b)) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 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simplify108.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
895×fma-def_binary64
660×associate-/l*_binary64
591×associate-/r*_binary64
465×unswap-sqr_binary64
435×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01942478
15812399
221002321
373632321
Stop Event
1×node limit
Counts
302 → 287
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
b
(+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b)
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(*.f64 -1 b)
(+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (*.f64 27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b)
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
b
(+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b)
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(*.f64 -3/2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -3/2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -9/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 81/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -2 b)
(+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b))
(+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b)))
(+.f64 (*.f64 27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b))))
(*.f64 -3/2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -3/2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -3/2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -3/2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -3 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(*.f64 -3 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(*.f64 -3 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(*.f64 -3 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(*.f64 -3 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))))
(+.f64 (*.f64 -1/24 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (pow.f64 (*.f64 -9/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 81/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -2/3 (/.f64 b a))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (+.f64 (*.f64 1/2 (/.f64 c b)) (*.f64 3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (+.f64 (*.f64 9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 c b)) (*.f64 3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -3))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -3)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -3 (sqrt.f64 -3)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -3)) b)) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -3 (sqrt.f64 -3)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -3 (sqrt.f64 -3)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -3)) b)) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -3 (sqrt.f64 -3)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
b
(+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b)
(fma.f64 -3/2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -3/2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) b)
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b))
(fma.f64 -9/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -9/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -3/2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) (fma.f64 -9/8 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b 3)) (*.f64 c c)) b))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(fma.f64 -9/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) b)))
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b
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b
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(fma.f64 1/2 (/.f64 c b) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c a))) 3/8 (*.f64 (/.f64 -2/3 a) b)))
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(fma.f64 -2/3 (/.f64 b a) (fma.f64 9/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)) (fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) 3/8))))
(fma.f64 (/.f64 b a) -2/3 (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) 9/16 (fma.f64 1/2 (/.f64 c b) (*.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) 3/8))))
(fma.f64 (/.f64 b a) -2/3 (fma.f64 1/2 (/.f64 c b) (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c a))) 3/8 (*.f64 (/.f64 (*.f64 (pow.f64 c 3) 9/16) (pow.f64 b 5)) (*.f64 a a)))))
(*.f64 -1/2 (/.f64 c b))
(/.f64 -1/2 (/.f64 b c))
(+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (*.f64 -3/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -3/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (/.f64 -1/2 (/.f64 b c)))
(fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c a))) (*.f64 -1/2 (/.f64 c b)))
(+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(fma.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 c b) (*.f64 -3/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))))
(fma.f64 -9/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (fma.f64 -3/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (/.f64 -1/2 (/.f64 b c))))
(fma.f64 -9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c a))) (*.f64 -1/2 (/.f64 c b))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(fma.f64 -1/6 (/.f64 (pow.f64 c 4) (/.f64 (*.f64 a b) (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (*.f64 -9/8 (/.f64 (*.f64 a a) (pow.f64 b 3))) 2)))) (fma.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 c b) (*.f64 -3/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))))))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 c 4) (*.f64 a b)) (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 81/64))) (fma.f64 -9/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (fma.f64 -3/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (/.f64 -1/2 (/.f64 b c)))))
(fma.f64 (/.f64 -1/6 b) (*.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 c 4) a)) (fma.f64 -9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c a))) (*.f64 -1/2 (/.f64 c b)))))
(*.f64 -1/2 (/.f64 c b))
(/.f64 -1/2 (/.f64 b c))
(+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (*.f64 -3/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -3/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (/.f64 -1/2 (/.f64 b c)))
(fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c a))) (*.f64 -1/2 (/.f64 c b)))
(+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(fma.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 c b) (*.f64 -3/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))))
(fma.f64 -9/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (fma.f64 -3/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (/.f64 -1/2 (/.f64 b c))))
(fma.f64 -9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c a))) (*.f64 -1/2 (/.f64 c b))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(fma.f64 -1/6 (/.f64 (*.f64 (pow.f64 a 3) (fma.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (*.f64 -9/8 (/.f64 (*.f64 c c) (pow.f64 b 3))) 2))) b) (fma.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 c b) (*.f64 -3/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))))))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 a 3) b) (fma.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 81/64))) (fma.f64 -9/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (fma.f64 -3/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (/.f64 -1/2 (/.f64 b c)))))
(fma.f64 -1/6 (*.f64 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 a 3) b)) (fma.f64 -9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c a))) (*.f64 -1/2 (/.f64 c b)))))

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
✓0.6b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
✓1.6b
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))
✓23.1b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))
Compiler

Compiled 69 to 35 computations (49.3% saved)

series16.0ms (0.1%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
1.0ms
b
@-inf
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
1.0ms
b
@0
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))
1.0ms
a
@inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
0.0ms
a
@-inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
0.0ms
c
@inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))

rewrite195.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
735×log-prod_binary64
725×fma-def_binary64
366×fma-neg_binary64
248×expm1-udef_binary64
248×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01374
130262
2450559
Stop Event
1×node limit
Counts
4 → 333
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))))
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -3))) 1/4) (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -3))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3)))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 6) (*.f64 27 (pow.f64 (*.f64 a c) 3)))) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 3 c)) (fma.f64 b b (*.f64 a (*.f64 3 c))) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (pow.f64 (*.f64 a (*.f64 3 c)) 2))) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -3))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -3))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -3))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 c (*.f64 a -3))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) (sqrt.f64 (fma.f64 c (*.f64 a -3) (*.f64 a (*.f64 3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 c (*.f64 a -3) (*.f64 a (*.f64 3 c)))) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 c (*.f64 a -3)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))) (/.f64 (fma.f64 b b (*.f64 c (*.f64 a -3))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) 0) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c 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simplify162.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
895×fma-def_binary64
660×associate-/l*_binary64
591×associate-/r*_binary64
465×unswap-sqr_binary64
435×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01942478
15812399
221002321
373722321
Stop Event
1×node limit
Counts
429 → 413
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
b
(+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b)
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(*.f64 -1 b)
(+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (*.f64 27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b)
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
b
(+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b)
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(*.f64 -3/2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -3/2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -9/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 81/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -2 b)
(+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b))
(+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b)))
(+.f64 (*.f64 27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b))))
(*.f64 -3/2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -3/2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -3/2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -3/2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -3 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(*.f64 -3 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(*.f64 -3 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(*.f64 -3 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(*.f64 -3 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))))
(+.f64 (*.f64 -1/24 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (pow.f64 (*.f64 -9/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 81/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -2/3 (/.f64 b a))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (+.f64 (*.f64 1/2 (/.f64 c b)) (*.f64 3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (+.f64 (*.f64 9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 c b)) (*.f64 3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -3))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -3)) b)) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -3 (sqrt.f64 -3)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -3)) b)) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -3 (sqrt.f64 -3)))))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -3 (sqrt.f64 -3)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -3)) b)) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -3 (sqrt.f64 -3)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
b
(+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b)
(fma.f64 -3/2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -3/2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) b)
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b))
(fma.f64 -9/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -9/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -3/2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) (fma.f64 -9/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))) b))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(fma.f64 -9/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) b)))
(fma.f64 -9/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -3/2 (*.f64 (/.f64 c b) a) (fma.f64 -27/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) b)))
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) (fma.f64 -9/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))) (fma.f64 -27/16 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) b)))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(fma.f64 (*.f64 (/.f64 c b) a) 3/2 (neg.f64 b))
(-.f64 (/.f64 (*.f64 c a) (/.f64 b 3/2)) b)
(+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b)))
(-.f64 (fma.f64 (*.f64 (/.f64 c b) a) 3/2 (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) 9/8)) b)
(-.f64 (fma.f64 (*.f64 a (/.f64 c b)) 3/2 (/.f64 (*.f64 c 9/8) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a))))) b)
(+.f64 (*.f64 27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))))
(fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 27/16 (-.f64 (fma.f64 (*.f64 (/.f64 c b) a) 3/2 (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) 9/8)) b))
(-.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) 27/16 (fma.f64 (*.f64 a (/.f64 c b)) 3/2 (/.f64 (*.f64 c 9/8) (/.f64 (pow.f64 b 3) (*.f64 c (*.f64 a a)))))) b)
b
(+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b)
(fma.f64 -3/2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -3/2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) b)
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b))
(fma.f64 -9/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -9/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a a)) (fma.f64 -3/2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) (fma.f64 -9/8 (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b 3))) b))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(fma.f64 -9/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) b)))
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(fma.f64 -3/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 c b)))
(+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(fma.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 c b) (*.f64 -3/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))))
(fma.f64 -9/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (fma.f64 -3/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a) (/.f64 -1/2 (/.f64 b c))))
(fma.f64 -1/2 (/.f64 c b) (fma.f64 -3/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3))) (/.f64 -9/16 (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a (pow.f64 c 3)))))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (*.f64 -9/8 (/.f64 (*.f64 a a) (pow.f64 b 3))) 2)) b)) (fma.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 c b) (*.f64 -3/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))))))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 81/64)) b)) (fma.f64 -9/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (fma.f64 -3/8 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a) (/.f64 -1/2 (/.f64 b c)))))
(fma.f64 -1/6 (*.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 405/64) (/.f64 (/.f64 (pow.f64 c 4) a) b)) (fma.f64 -1/2 (/.f64 c b) (fma.f64 -3/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3))) (/.f64 -9/16 (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a (pow.f64 c 3))))))))

eval753.0ms (3.6%)

Compiler

Compiled 19223 to 12129 computations (36.9% saved)

prune246.0ms (1.2%)

Pruning

32 alts after pruning (31 fresh and 1 done)

PrunedKeptTotal
New66931700
Fresh000
Picked011
Done101
Total67032702
Error
6.8b
Counts
702 → 32
Alt Table
Click to see full alt table
StatusErrorProgram
45.7b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (*.f64 3 a))
43.4b
(pow.f64 (*.f64 3 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))) -1)
32.6b
(+.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) (/.f64 1/3 a)) (*.f64 (neg.f64 b) (/.f64 1/3 a)))
45.8b
(*.f64 (/.f64 -3/2 (/.f64 b (*.f64 c a))) (/.f64 1/3 a))
▶30.7b
(*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) (/.f64 1 (*.f64 a -3)))
44.7b
(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))) (*.f64 3 a))
33.1b
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 c (*.f64 a -3)) (*.f64 b b))) b) (/.f64 1/3 a))
▶46.6b
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
33.8b
(*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 1/4) 2) b) (/.f64 1/3 a))
46.5b
(*.f64 (/.f64 -2/3 a) b)
30.7b
(/.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b) 1/3) a)
55.4b
(*.f64 (-.f64 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) b) b) (/.f64 1/3 a))
46.7b
(/.f64 (*.f64 b -2) (*.f64 3 a))
▶46.5b
(*.f64 -2/3 (/.f64 b a))
✓33.0b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
42.0b
(/.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 c (*.f64 a -3))) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))) (*.f64 3 a))
32.6b
(*.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b))) (/.f64 1/3 a))
48.2b
(*.f64 (+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (/.f64 1/3 a))
49.4b
(fma.f64 -1/2 (/.f64 c b) (fma.f64 -3/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3))) (/.f64 -9/16 (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a (pow.f64 c 3)))))))
▶42.0b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -3)))) (*.f64 3 a))
42.1b
(*.f64 (-.f64 (sqrt.f64 (*.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
42.1b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 -3 (*.f64 c a)))) (*.f64 3 a))
43.4b
(*.f64 (/.f64 1 a) (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) 1/3))
44.7b
(/.f64 (*.f64 -3/2 (*.f64 a (/.f64 c b))) (*.f64 3 a))
43.3b
(neg.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) (*.f64 a -3)))
▶33.0b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 -1 (*.f64 a (*.f64 3 c)) (*.f64 b b)))) (*.f64 3 a))
42.8b
(*.f64 -1/2 (/.f64 c b))
43.4b
(*.f64 1/3 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) a))
54.3b
(fma.f64 -9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (fma.f64 -1/2 (/.f64 c b) (fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c a))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (/.f64 a -1/6)) (pow.f64 b 7)))))
55.4b
(*.f64 (-.f64 b b) (/.f64 1/3 a))
42.1b
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
43.2b
(/.f64 -1/2 (/.f64 b c))
Compiler

Compiled 1112 to 796 computations (28.4% saved)

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 1 (*.f64 a -3))
✓0.4b
(*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) (/.f64 1 (*.f64 a -3)))
✓1.2b
(-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))
✓12.1b
(sqrt.f64 (*.f64 c (*.f64 a -3)))
Compiler

Compiled 61 to 40 computations (34.4% saved)

series84.0ms (0.4%)

Counts
4 → 36
Calls

27 calls:

TimeVariablePointExpression
11.0ms
c
@0
(-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))
9.0ms
a
@inf
(*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) (/.f64 1 (*.f64 a -3)))
7.0ms
c
@-inf
(-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))
6.0ms
a
@inf
(-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))
5.0ms
c
@inf
(-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))

rewrite112.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
677×log-prod_binary64
575×prod-diff_binary64
244×fma-def_binary64
241×pow1/3_binary64
236×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01352
127849
2363849
Stop Event
1×node limit
Counts
4 → 219
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 c (*.f64 a -3)))
(-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))
(*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) (/.f64 1 (*.f64 a -3)))
(/.f64 1 (*.f64 a -3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 a (*.f64 -3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 a (*.f64 -3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (*.f64 -3 c))) (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))) (cbrt.f64 (*.f64 a (*.f64 -3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 1/4) (pow.f64 (*.f64 a (*.f64 -3 c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 -3 c))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 a (*.f64 -3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 a (*.f64 -3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 -3 c))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 -3 c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c a) 1/2) (sqrt.f64 -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 -3 c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 -3 c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 b (neg.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b (*.f64 (neg.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) (fma.f64 (neg.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) 1 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))) (cbrt.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b))) (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) (+.f64 (neg.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) (fma.f64 -1 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)))) (cbrt.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) b)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)))) (cbrt.f64 (exp.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))) (pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))) 2) (cbrt.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))) 2) (*.f64 (cbrt.f64 (-.f64 b 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(*.f64 -3 c))) b)) 3) (pow.f64 (*.f64 a -3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) 3) (pow.f64 (/.f64 -1/3 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1/3 a) 3) (pow.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) (/.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) (/.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) (/.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) (/.f64 -1/3 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 -1/3 a) (*.f64 (neg.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) (/.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/3 a) b (*.f64 (/.f64 -1/3 a) (neg.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1/3 a))) (cbrt.f64 (exp.f64 (/.f64 -1/3 a))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/3 a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/3 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/3 a)) (pow.f64 (cbrt.f64 (/.f64 -1/3 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1/3 a)) 2) (cbrt.f64 (/.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/3 a)) (sqrt.f64 (/.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (*.f64 a a) 9))) (cbrt.f64 (/.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/3 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/3 a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/3 a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/3 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 a 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a -3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/3 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a -3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/3 a)) 1))))))

simplify107.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
919×times-frac_binary64
687×associate-/l*_binary64
557×unswap-sqr_binary64
491×associate-/r*_binary64
464×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01471151
1420944
21546926
36580902
47862902
Stop Event
1×node limit
Counts
255 → 268
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 b (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(+.f64 b (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 b (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (pow.f64 b 7))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))))))
(*.f64 2 b)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (*.f64 2 b))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (*.f64 2 b)))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (*.f64 2 b))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))))
(+.f64 (*.f64 -1/24 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))))
(*.f64 1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))
(+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(*.f64 -2/3 (/.f64 b a))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 -1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (*.f64 1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (+.f64 (*.f64 -1/48 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (*.f64 1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
Outputs
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -3)))
(+.f64 b (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))) b)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -3) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -3)) b)
(+.f64 b (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(+.f64 b (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -3))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(+.f64 b (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -3) (*.f64 (*.f64 -1/2 (/.f64 (*.f64 b b) (sqrt.f64 -3))) (sqrt.f64 (/.f64 (/.f64 1 c) a)))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -3)) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (*.f64 b -1/2) (/.f64 (sqrt.f64 -3) b)) b))
(+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 b (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))))
(fma.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 b (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -3))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))))
(fma.f64 1/8 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -3) -3))) (+.f64 b (fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -3) (*.f64 (*.f64 -1/2 (/.f64 (*.f64 b b) (sqrt.f64 -3))) (sqrt.f64 (/.f64 (/.f64 1 c) a))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -3)) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (*.f64 b -1/2) (/.f64 (sqrt.f64 -3) b)) b)) (*.f64 -1/24 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4)))))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))
(*.f64 -1/2 (*.f64 (/.f64 c b) (*.f64 a -3)))
(*.f64 -1/2 (*.f64 (*.f64 a -3) (/.f64 c b)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b) (*.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))
(fma.f64 -1/2 (*.f64 (/.f64 c b) (*.f64 a -3)) (*.f64 1/8 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (/.f64 (pow.f64 b 3) 9))))
(fma.f64 -1/2 (*.f64 (*.f64 a -3) (/.f64 c b)) (*.f64 1/8 (/.f64 (*.f64 c a) (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a 9)) c))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5)))))
(fma.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b) (fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)) (*.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))))))
(fma.f64 -1/2 (*.f64 (/.f64 c b) (*.f64 a -3)) (fma.f64 1/8 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (/.f64 (pow.f64 b 3) 9)) (/.f64 (*.f64 (*.f64 -1/16 (pow.f64 c 3)) (*.f64 (pow.f64 a 3) -27)) (pow.f64 b 5))))
(fma.f64 -1/2 (*.f64 (*.f64 a -3) (/.f64 c b)) (fma.f64 -1/16 (*.f64 (*.f64 (pow.f64 a 3) -27) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 1/8 (/.f64 (*.f64 c a) (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a 9)) c)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (pow.f64 b 7))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))))))
(fma.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b) (fma.f64 1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8))) (pow.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 4))) -1/8) 2)) (pow.f64 b 7)) (*.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))))))))
(fma.f64 -1/2 (*.f64 (/.f64 c b) (*.f64 a -3)) (fma.f64 1/8 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (/.f64 (pow.f64 b 3) 9)) (fma.f64 -1/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -27)) (/.f64 (*.f64 1/2 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/16) (pow.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -9/8) 2))) (pow.f64 b 7)))))
(fma.f64 -1/2 (*.f64 (*.f64 a -3) (/.f64 c b)) (fma.f64 1/8 (/.f64 (*.f64 c a) (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a 9)) c)) (fma.f64 -1/16 (*.f64 (*.f64 (pow.f64 a 3) -27) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 (/.f64 1/2 (pow.f64 b 7)) (*.f64 (*.f64 (pow.f64 a 4) 81) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64)))))))
(fma.f64 -1/2 (*.f64 (*.f64 a -3) (/.f64 c b)) (fma.f64 1/8 (/.f64 (*.f64 c a) (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a 9)) c)) (fma.f64 -1/16 (*.f64 (*.f64 (pow.f64 a 3) -27) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 (/.f64 1/2 (pow.f64 b 7)) (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64)))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (*.f64 2 b))
(fma.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b) (*.f64 b 2))
(fma.f64 (*.f64 (/.f64 c b) (*.f64 a -3)) 1/2 (*.f64 b 2))
(fma.f64 (*.f64 (*.f64 a -3) (/.f64 c b)) 1/2 (*.f64 b 2))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (*.f64 2 b)))
(fma.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)) (*.f64 b 2)))
(fma.f64 (*.f64 (/.f64 c b) (*.f64 a -3)) 1/2 (fma.f64 b 2 (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -9/8) (pow.f64 b 3))))
(fma.f64 b 2 (fma.f64 (*.f64 (*.f64 a -3) (/.f64 c b)) 1/2 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -9/8) (pow.f64 b 3))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (*.f64 2 b))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b) (fma.f64 -1/8 (/.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)) (*.f64 b 2))))
(fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -27)) 1/16 (fma.f64 (*.f64 (/.f64 c b) (*.f64 a -3)) 1/2 (fma.f64 b 2 (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -9/8) (pow.f64 b 3)))))
(fma.f64 (*.f64 (*.f64 a -3) (/.f64 c b)) 1/2 (fma.f64 (*.f64 (*.f64 (pow.f64 a 3) -27) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 1/16 (fma.f64 b 2 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -9/8) (pow.f64 b 3)))))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(*.f64 1/3 (*.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a))))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -3) 1/3))
(*.f64 (sqrt.f64 -3) (*.f64 1/3 (sqrt.f64 (/.f64 c a))))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 1/3 (*.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a)))))
(fma.f64 1/3 (*.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a))) (*.f64 -1/3 (/.f64 b a)))
(fma.f64 (sqrt.f64 -3) (*.f64 1/3 (sqrt.f64 (/.f64 c a))) (*.f64 -1/3 (/.f64 b a)))
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/6 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -3)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 -1/3 (/.f64 b a) (*.f64 1/3 (*.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a))))))
(fma.f64 1/6 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -3)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (fma.f64 1/3 (*.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a))) (*.f64 -1/3 (/.f64 b a))))
(fma.f64 (sqrt.f64 -3) (*.f64 1/3 (sqrt.f64 (/.f64 c a))) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -3)) b) 1/6) (*.f64 -1/3 (/.f64 b a))))
(+.f64 (*.f64 -1/24 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))))
(fma.f64 -1/24 (*.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 1/6 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -3)) (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3))))) (fma.f64 -1/3 (/.f64 b a) (*.f64 1/3 (*.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a)))))))
(fma.f64 -1/24 (*.f64 (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -3) -3)) (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 1/6 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -3)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (fma.f64 1/3 (*.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a))) (*.f64 -1/3 (/.f64 b a)))))
(+.f64 (fma.f64 (sqrt.f64 -3) (*.f64 1/3 (sqrt.f64 (/.f64 c a))) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -3)) b) 1/6) (*.f64 -1/3 (/.f64 b a)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) 1/72))
(*.f64 1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b))
(*.f64 1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))))
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))
(fma.f64 1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (*.f64 -1/24 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))))))
(fma.f64 -1/24 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 9)) (/.f64 (*.f64 -1/2 c) b))
(fma.f64 -1/24 (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) 9) (/.f64 -1/2 (/.f64 b c)))
(+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(fma.f64 1/48 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (*.f64 -1/24 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -3) 4)))))))
(fma.f64 1/48 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -27))) (fma.f64 -1/24 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 9)) (/.f64 (*.f64 -1/2 c) b)))
(fma.f64 1/48 (*.f64 (*.f64 a (*.f64 a -27)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -1/24 (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) 9) (/.f64 -1/2 (/.f64 b c))))
(+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(fma.f64 1/48 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 -1/6 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8))) (pow.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 4))) -1/8) 2)) (*.f64 a (pow.f64 b 7))) (fma.f64 1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (*.f64 -1/24 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))))))))
(fma.f64 1/48 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -27))) (fma.f64 -1/6 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/16) (pow.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -9/8) 2)) (*.f64 a (pow.f64 b 7))) (fma.f64 -1/24 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 9)) (/.f64 (*.f64 -1/2 c) b))))
(fma.f64 1/48 (*.f64 (*.f64 a (*.f64 a -27)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -1/6 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 81) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 a (pow.f64 b 7))) (fma.f64 -1/24 (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) 9) (/.f64 -1/2 (/.f64 b c)))))
(fma.f64 1/48 (*.f64 (*.f64 a (*.f64 a -27)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -1/6 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (*.f64 a (pow.f64 b 7))) (fma.f64 -1/24 (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) 9) (/.f64 -1/2 (/.f64 b c)))))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 b a) -2/3)
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 -1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) -1/6))
(fma.f64 (/.f64 b a) -2/3 (/.f64 (*.f64 1/2 c) b))
(fma.f64 (/.f64 b a) -2/3 (/.f64 1/2 (/.f64 b c)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (*.f64 1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(fma.f64 -2/3 (/.f64 b a) (fma.f64 -1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -3) 4)))) 1/24)))
(fma.f64 (/.f64 b a) -2/3 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 9)) 1/24 (/.f64 (*.f64 1/2 c) b)))
(fma.f64 (/.f64 b a) -2/3 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) 9) 1/24 (/.f64 1/2 (/.f64 b c))))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (+.f64 (*.f64 -1/48 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (*.f64 1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(fma.f64 -2/3 (/.f64 b a) (fma.f64 -1/48 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 -1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -3) 4)))) 1/24))))
(fma.f64 (/.f64 b a) -2/3 (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -27))) -1/48 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 a 9)) 1/24 (/.f64 (*.f64 1/2 c) b))))
(fma.f64 (/.f64 b a) -2/3 (fma.f64 (*.f64 (*.f64 a (*.f64 a -27)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) -1/48 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) 9) 1/24 (/.f64 1/2 (/.f64 b c)))))
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)
(/.f64 -1/3 a)

localize10.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 -2/3 (/.f64 b a))
Compiler

Compiled 14 to 7 computations (50% saved)

series7.0ms (0%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
b
@0
(*.f64 -2/3 (/.f64 b a))
1.0ms
b
@inf
(*.f64 -2/3 (/.f64 b a))
1.0ms
a
@0
(*.f64 -2/3 (/.f64 b a))
1.0ms
a
@inf
(*.f64 -2/3 (/.f64 b a))
1.0ms
b
@-inf
(*.f64 -2/3 (/.f64 b a))

rewrite82.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
653×pow1_binary64
607×add-log-exp_binary64
607×log1p-expm1-u_binary64
607×expm1-log1p-u_binary64
595×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11277
216117
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 -2/3 (/.f64 b a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2/3 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 -2/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2/3 b) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -2/3 b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2/3 b) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2/3 b) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) -2/3) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2/3 (neg.f64 b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/3 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2/3 (/.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2/3 (/.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2/3 (/.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2/3) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2/3 (/.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2/3 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2/3 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2/3 (/.f64 b a))))))))

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
20 → 20
Calls
Call 1
Inputs
Outputs

localize38.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 1/2 (/.f64 c b))
✓0.0b
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
0.3b
(*.f64 -2/3 (/.f64 b a))
Compiler

Compiled 35 to 16 computations (54.3% saved)

series25.0ms (0.1%)

Counts
2 → 9
Calls

15 calls:

TimeVariablePointExpression
11.0ms
c
@0
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
2.0ms
b
@inf
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
1.0ms
b
@0
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
1.0ms
a
@0
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
1.0ms
c
@inf
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))

rewrite120.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
626×log-prod_binary64
372×pow-prod-down_binary64
328×fma-def_binary64
325×pow2_binary64
226×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
124621
2342321
Stop Event
1×node limit
Counts
2 → 97
Calls
Call 1
Inputs
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(*.f64 1/2 (/.f64 c b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (/.f64 a b) -2) 4/9) (fma.f64 -2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))) (/.f64 (*.f64 (pow.f64 (/.f64 c b) 2) 1/4) (fma.f64 -2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b)))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b)))) 2) (cbrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b)))) (sqrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 -2/3 (/.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 b a) 3) -8/27 (*.f64 (pow.f64 (/.f64 c b) 3) 1/8)) (/.f64 1 (fma.f64 (*.f64 1/2 (/.f64 c b)) (-.f64 (*.f64 1/2 (/.f64 c b)) (/.f64 -2/3 (/.f64 a b))) (*.f64 (pow.f64 (/.f64 a b) -2) 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (/.f64 a b) -2) 4/9) (*.f64 (pow.f64 (/.f64 c b) 2) 1/4)) (/.f64 1 (fma.f64 -2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 1/2 (/.f64 c b)) (-.f64 (*.f64 1/2 (/.f64 c b)) (/.f64 -2/3 (/.f64 a b))) (*.f64 (pow.f64 (/.f64 a b) -2) 4/9)) (fma.f64 (pow.f64 (/.f64 b a) 3) -8/27 (*.f64 (pow.f64 (/.f64 c b) 3) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -2/3 (/.f64 b a) (*.f64 -1/2 (/.f64 c b))) (-.f64 (*.f64 (pow.f64 (/.f64 a b) -2) 4/9) 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egg-rr> (2) ((x fma.f64 c (*.f64 (/.f64 1 b) 1/2) (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 c b) 1/2 (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (/.f64 c b)) 1 (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/3 (/.f64 a b)) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 (/.f64 c b)) (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 a b) -2)) (*.f64 (cbrt.f64 (/.f64 b a)) -2/3) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 c b) 2)) (*.f64 (cbrt.f64 (/.f64 c b)) 1/2) (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2/3 (/.f64 a b))) (pow.f64 (cbrt.f64 (/.f64 -2/3 (/.f64 a b))) 2) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 b) (/.f64 1 a) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 c) (/.f64 1 b) (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2/3 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2/3 (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 b) 2)) (/.f64 c (cbrt.f64 b)) (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)) (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 (cbrt.f64 (pow.f64 (/.f64 a b) -2))) (cbrt.f64 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2/3 (sqrt.f64 (/.f64 b a))) (sqrt.f64 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 c b) 2))) (cbrt.f64 (/.f64 c b)) (/.f64 -2/3 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 c b))) (sqrt.f64 (/.f64 c b)) (/.f64 -2/3 (/.f64 a b)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b)))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 1/2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 c) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 c) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) 1/2) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (neg.f64 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 c b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 c b) 2) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (/.f64 c b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (/.f64 c b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 c b) 3) 1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 1/2 c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 c b) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 c b) 3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (/.f64 c b))) 1))))))

simplify36.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01063
11663
22463
33263
43463
Stop Event
1×saturated
Counts
106 → 100
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 c b))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 1/2 (/.f64 c b))
(*.f64 1/2 (/.f64 c b))
(*.f64 -2/3 (/.f64 b a))
(*.f64 1/2 (/.f64 c b))
(*.f64 1/2 (/.f64 c b))
Outputs
(*.f64 1/2 (/.f64 c b))
(*.f64 -2/3 (/.f64 b a))
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 b (/.f64 -2/3 a))
(*.f64 1/2 (/.f64 c b))
(*.f64 1/2 (/.f64 c b))
(*.f64 -2/3 (/.f64 b a))
(*.f64 b (/.f64 -2/3 a))
(*.f64 1/2 (/.f64 c b))
(*.f64 1/2 (/.f64 c b))

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -3))))
✓0.2b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -3)))) (*.f64 3 a))
✓0.2b
(*.f64 c (*.f64 a -3))
12.1b
(sqrt.f64 (*.f64 c (*.f64 a -3)))
Compiler

Compiled 49 to 30 computations (38.8% saved)

series17.0ms (0.1%)

Counts
3 → 52
Calls

24 calls:

TimeVariablePointExpression
2.0ms
a
@inf
(*.f64 c (*.f64 a -3))
1.0ms
a
@-inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -3)))) (*.f64 3 a))
1.0ms
a
@inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -3)))) (*.f64 3 a))
1.0ms
c
@-inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -3)))) (*.f64 3 a))
1.0ms
c
@inf
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -3)))) (*.f64 3 a))

rewrite97.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
628×log-prod_binary64
376×fma-def_binary64
305×pow2_binary64
256×pow-unpow_binary64
212×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01341
128237
2404437
Stop Event
1×node limit
Counts
3 → 137
Calls
Call 1
Inputs
(*.f64 c (*.f64 a -3))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -3)))) (*.f64 3 a))
(+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -3))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c (*.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) -3) c)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) -3) c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) -3) c))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) -3) c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c (*.f64 a 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (*.f64 a 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (*.f64 a 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 a 3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 a 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c (*.f64 a 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 c 3) (pow.f64 (*.f64 a 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 a 3) 3) (pow.f64 c 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 c (*.f64 a 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) -3) c))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c (*.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (*.f64 a 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 (*.f64 a 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a 3) 3) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c (*.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c (*.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c (*.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 a 3))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) (/.f64 1/3 a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) (/.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) (/.f64 1/3 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) (/.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) (/.f64 1/3 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) (/.f64 1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) (/.f64 1/3 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) (/.f64 1/3 a))) (cbrt.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a 3))) (*.f64 9 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a 3))) (*.f64 9 (*.f64 a a)))) (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) 2) (*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) (/.f64 1/3 a))) (sqrt.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) (*.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 a) (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a 3)))) (/.f64 1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) 1/3) (pow.f64 a -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a -1) (*.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) 2) a) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) a) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) 3) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) 2) 3) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) (*.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) 1) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) (*.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 a 3)) 2)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) (cbrt.f64 (*.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) 2) (pow.f64 (cbrt.f64 (*.f64 a 3)) 2)) (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) (pow.f64 (cbrt.f64 (*.f64 a 3)) 2)) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) (cbrt.f64 (*.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 a 3))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) (sqrt.f64 (*.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) 2) (sqrt.f64 (*.f64 a 3))) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) (sqrt.f64 (*.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) (/.f64 1/3 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a 3))) (*.f64 9 (*.f64 a a))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) (/.f64 1/3 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) (/.f64 1/3 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) (/.f64 1/3 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (/.f64 a (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) 3) (pow.f64 (*.f64 a 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 3 (/.f64 a (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (fma.f64 b b (*.f64 c (*.f64 a 3))) (*.f64 9 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) (/.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) (/.f64 1/3 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) (/.f64 1/3 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) 3) (pow.f64 (*.f64 a 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) (/.f64 1/3 a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 c (*.f64 a 3))) b)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a 3))))) (/.f64 (*.f64 c (*.f64 a 3)) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) 0) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 c (*.f64 a 3)) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 c (*.f64 a 3) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 a 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 b b (*.f64 c (*.f64 a 3))) (/.f64 1 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a 3) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 a 3)))))) (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 c (*.f64 a 3)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a 3)))) (fma.f64 b b (*.f64 c (*.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 c (*.f64 a 3)) 3/2)) (fma.f64 b b (fma.f64 c (*.f64 a 3) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 a 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 c (*.f64 a 3)) 3/2)) (fma.f64 c (*.f64 a 3) (fma.f64 b b (*.f64 b (sqrt.f64 (*.f64 c (*.f64 a 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 b b (*.f64 c (*.f64 a 3))) (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 c (*.f64 a 3)) 3/2))) (neg.f64 (fma.f64 b b (fma.f64 c (*.f64 a 3) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 a 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 b b (*.f64 c (*.f64 a 3)))) (neg.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 c (*.f64 a 3) (*.f64 b b)) (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a 3) (*.f64 b (sqrt.f64 (*.f64 c (*.f64 a 3)))))) (+.f64 (pow.f64 b 3) (pow.f64 (*.f64 c (*.f64 a 3)) 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (sqrt.f64 (*.f64 c (*.f64 a 3)))) (fma.f64 b b (*.f64 c (*.f64 a 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 a 3)))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 a 3))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 a 3)))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 a 3))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (sqrt.f64 (*.f64 c (*.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 a 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 a 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 a 3))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 a 3)))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 a 3))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (sqrt.f64 (*.f64 c (*.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b -1 (sqrt.f64 (*.f64 c (*.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 c (*.f64 a 3))) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (sqrt.f64 (*.f64 c (*.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (*.f64 c (*.f64 a 3))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (*.f64 c (*.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (sqrt.f64 (*.f64 c (*.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (sqrt.f64 (*.f64 c (*.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 a 3)))) (cbrt.f64 (*.f64 c (*.f64 a 3))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 c (*.f64 a 3))) (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 a 3)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (sqrt.f64 (*.f64 c (*.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (sqrt.f64 (*.f64 c (*.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a 3)) (sqrt.f64 c) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a 3)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 c (*.f64 a 3)) 1/4) (pow.f64 (*.f64 c (*.f64 a 3)) 1/4) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b (sqrt.f64 (*.f64 c (*.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 a 3))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 c (*.f64 a 3)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 c (*.f64 a 3))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (sqrt.f64 (*.f64 c (*.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (sqrt.f64 (*.f64 c (*.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (sqrt.f64 (*.f64 c (*.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 b)) (sqrt.f64 b) (sqrt.f64 (*.f64 c (*.f64 a 3))))))))

simplify391.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1533×fma-def_binary64
789×fma-neg_binary64
406×associate-/r/_binary64
308×div-sub_binary64
273×associate-/l/_binary64
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
022557
140548
268548
385548
4103548
5131548
6195548
7293548
8469548
9769548
101131539
111429539
122106539
133126539
143342539
153838539
164472539
174721539
185064539
195389539
205706539
215808539
225978539
236624539
247044539
257220539
267222539
277232539
287232539
297232539
Stop Event
1×saturated
Counts
189 → 149
Calls
Call 1
Inputs
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 -1/3 (/.f64 b a))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 -1/3 (/.f64 b a))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(*.f64 -1 b)
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(*.f64 -1 b)
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(*.f64 -1 b)
(*.f64 -1 b)
Outputs
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 -3 c) a)
(*.f64 c (*.f64 -3 a))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 -3 c) a)
(*.f64 c (*.f64 -3 a))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 -3 c) a)
(*.f64 c (*.f64 -3 a))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 -3 c) a)
(*.f64 c (*.f64 -3 a))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 -3 c) a)
(*.f64 c (*.f64 -3 a))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 -3 c) a)
(*.f64 c (*.f64 -3 a))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 -3 c) a)
(*.f64 c (*.f64 -3 a))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 -3 c) a)
(*.f64 c (*.f64 -3 a))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 -3 c) a)
(*.f64 c (*.f64 -3 a))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 -3 c) a)
(*.f64 c (*.f64 -3 a))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 -3 c) a)
(*.f64 c (*.f64 -3 a))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 -3 c) a)
(*.f64 c (*.f64 -3 a))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 -3 c) a)
(*.f64 c (*.f64 -3 a))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 -3 c) a)
(*.f64 c (*.f64 -3 a))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 -3 c) a)
(*.f64 c (*.f64 -3 a))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 -3 c) a)
(*.f64 c (*.f64 -3 a))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 -3 c) a)
(*.f64 c (*.f64 -3 a))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 -3 c) a)
(*.f64 c (*.f64 -3 a))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 -3 c) a)
(*.f64 c (*.f64 -3 a))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 -3 c) a)
(*.f64 c (*.f64 -3 a))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 -3 c) a)
(*.f64 c (*.f64 -3 a))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 -3 c) a)
(*.f64 c (*.f64 -3 a))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 -3 c) a)
(*.f64 c (*.f64 -3 a))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 -3 c) a)
(*.f64 c (*.f64 -3 a))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)) (*.f64 -1/3 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (*.f64 -1/3 (/.f64 b a)))
(*.f64 -1/3 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 1/3 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)) (/.f64 b a)))
(*.f64 1/3 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3) (/.f64 (neg.f64 b) a)))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)) (*.f64 -1/3 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (*.f64 -1/3 (/.f64 b a)))
(*.f64 -1/3 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 1/3 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)) (/.f64 b a)))
(*.f64 1/3 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3) (/.f64 (neg.f64 b) a)))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)) (*.f64 -1/3 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (*.f64 -1/3 (/.f64 b a)))
(*.f64 -1/3 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 1/3 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)) (/.f64 b a)))
(*.f64 1/3 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3) (/.f64 (neg.f64 b) a)))
(*.f64 -1/3 (/.f64 b a))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)) (*.f64 -1/3 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (*.f64 -1/3 (/.f64 b a)))
(*.f64 -1/3 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 1/3 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)) (/.f64 b a)))
(*.f64 1/3 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3) (/.f64 (neg.f64 b) a)))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)) (*.f64 -1/3 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (*.f64 -1/3 (/.f64 b a)))
(*.f64 -1/3 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 1/3 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)) (/.f64 b a)))
(*.f64 1/3 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3) (/.f64 (neg.f64 b) a)))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)) (*.f64 -1/3 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (*.f64 -1/3 (/.f64 b a)))
(*.f64 -1/3 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 1/3 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)) (/.f64 b a)))
(*.f64 1/3 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3) (/.f64 (neg.f64 b) a)))
(*.f64 -1/3 (/.f64 b a))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)) (*.f64 -1/3 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (*.f64 -1/3 (/.f64 b a)))
(*.f64 -1/3 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 1/3 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)) (/.f64 b a)))
(*.f64 1/3 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3) (/.f64 (neg.f64 b) a)))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)) (*.f64 -1/3 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (*.f64 -1/3 (/.f64 b a)))
(*.f64 -1/3 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 1/3 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)) (/.f64 b a)))
(*.f64 1/3 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3) (/.f64 (neg.f64 b) a)))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)) (*.f64 -1/3 (/.f64 b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (*.f64 -1/3 (/.f64 b a)))
(*.f64 -1/3 (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 1/3 (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)) (/.f64 b a)))
(*.f64 1/3 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3) (/.f64 (neg.f64 b) a)))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))
(*.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a)))
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 -1 b (*.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a))))
(fma.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a))) b)
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 -1 b (*.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a))))
(fma.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a))) b)
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 -1 b (*.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a))))
(fma.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a))) b)
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 -1 b (*.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a))))
(fma.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a))) b)
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 -1 b (*.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a))))
(fma.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a))) b)
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 -1 b (*.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a))))
(fma.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a))) b)
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 -1 b (*.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a))))
(fma.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a))) b)
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 -1 b (*.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a))))
(fma.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a))) b)
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 -1 b (*.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a))))
(fma.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a)) (neg.f64 b))
(-.f64 (*.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a))) b)
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 -1 (*.f64 a (*.f64 3 c)) (*.f64 b b)))) (*.f64 3 a))
✓0.6b
(fma.f64 -1 (*.f64 a (*.f64 3 c)) (*.f64 b b))
✓1.6b
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 -1 (*.f64 a (*.f64 3 c)) (*.f64 b b))))
✓23.1b
(sqrt.f64 (fma.f64 -1 (*.f64 a (*.f64 3 c)) (*.f64 b b)))
Compiler

Compiled 77 to 42 computations (45.5% saved)

series25.0ms (0.1%)

Counts
4 → 96
Calls

36 calls:

TimeVariablePointExpression
2.0ms
c
@inf
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 -1 (*.f64 a (*.f64 3 c)) (*.f64 b b))))
1.0ms
a
@inf
(sqrt.f64 (fma.f64 -1 (*.f64 a (*.f64 3 c)) (*.f64 b b)))
1.0ms
a
@-inf
(sqrt.f64 (fma.f64 -1 (*.f64 a (*.f64 3 c)) (*.f64 b b)))
1.0ms
a
@0
(sqrt.f64 (fma.f64 -1 (*.f64 a (*.f64 3 c)) (*.f64 b b)))
1.0ms
c
@inf
(sqrt.f64 (fma.f64 -1 (*.f64 a (*.f64 3 c)) (*.f64 b b)))

rewrite106.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
746×log-prod_binary64
373×pow2_binary64
367×fma-def_binary64
258×pow1/3_binary64
256×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01578
131670
2428359
Stop Event
1×node limit
Counts
4 → 176
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 -1 (*.f64 a (*.f64 3 c)) (*.f64 b b)))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 -1 (*.f64 a (*.f64 3 c)) (*.f64 b b))))
(fma.f64 -1 (*.f64 a (*.f64 3 c)) (*.f64 b b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 -1 (*.f64 a (*.f64 3 c)) (*.f64 b b)))) (*.f64 3 a))
Outputs
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simplify100.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
895×fma-def_binary64
660×associate-/l*_binary64
591×associate-/r*_binary64
465×unswap-sqr_binary64
435×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01942478
15812399
220982321
373552321
Stop Event
1×node limit
Counts
272 → 256
Calls
Call 1
Inputs
b
(+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b)
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
b
(+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b)
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -3) 5)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
b
(+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b)
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(*.f64 -1 b)
(+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (*.f64 -1 b))
(+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (*.f64 27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(*.f64 -3/2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -3/2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -9/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 81/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -2 b)
(+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b))
(+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b)))
(+.f64 (*.f64 27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b))))
(*.f64 -3/2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -3/2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a 4) (+.f64 (*.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -3/2 (/.f64 (*.f64 c a) b))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -3/2 (/.f64 (*.f64 c a) b)))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(*.f64 -3 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(*.f64 -3 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(*.f64 -3 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(*.f64 -3 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(*.f64 -3 (*.f64 c a))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(+.f64 (pow.f64 b 2) (*.f64 -3 (*.f64 c a)))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))))
(+.f64 (*.f64 -1/24 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (pow.f64 (*.f64 -9/8 (*.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (*.f64 81/16 (*.f64 (pow.f64 c 4) (pow.f64 a 4)))) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -2/3 (/.f64 b a))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (+.f64 (*.f64 1/2 (/.f64 c b)) (*.f64 3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (+.f64 (*.f64 9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 c b)) (*.f64 3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
Outputs
b
(+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b)
(fma.f64 -3/2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -3/2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) b)
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b))
(fma.f64 -9/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -9/8 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 3) (*.f64 c c))) (fma.f64 -3/2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) (fma.f64 -9/8 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 3) (*.f64 c c))) b))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(fma.f64 -9/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) b)))
(fma.f64 -9/8 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 3) (*.f64 c c))) (fma.f64 -3/2 (*.f64 (/.f64 c b) a) (fma.f64 -27/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) b)))
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) (fma.f64 -9/8 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 3) (*.f64 c c))) (fma.f64 -27/16 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b)))
b
(+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b)
(fma.f64 -3/2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -3/2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) b)
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) b))
(fma.f64 -9/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) b))
(fma.f64 -9/8 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 3) (*.f64 c c))) (fma.f64 -3/2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) (fma.f64 -9/8 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 3) (*.f64 c c))) b))
(+.f64 (*.f64 -9/8 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (+.f64 (*.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) b)))
(fma.f64 -9/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (fma.f64 -27/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) b)))
(fma.f64 -9/8 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 3) (*.f64 c c))) (fma.f64 -3/2 (*.f64 (/.f64 c b) a) (fma.f64 -27/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) b)))
(fma.f64 -3/2 (*.f64 a (/.f64 c b)) (fma.f64 -9/8 (/.f64 (*.f64 a a) (/.f64 (pow.f64 b 3) (*.f64 c c))) (fma.f64 -27/16 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b)))
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -3))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -3) b)) 1/2)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b 1/2) (/.f64 (sqrt.f64 -3) b))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 -3 (sqrt.f64 -3)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 4) -3) (sqrt.f64 -3))) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 b 1/2) (/.f64 (sqrt.f64 -3) b)))))
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b
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(fma.f64 -3/2 (/.f64 c (/.f64 b a)) b)
(fma.f64 -3/2 (*.f64 (/.f64 c b) a) b)
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(*.f64 -1 b)
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(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))
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(*.f64 -2 b)
(*.f64 b -2)
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(fma.f64 (/.f64 b a) -2/3 (fma.f64 1/2 (/.f64 c b) (fma.f64 (*.f64 a (*.f64 (/.f64 c (pow.f64 b 3)) c)) 3/8 (*.f64 (/.f64 9/16 (pow.f64 b 5)) (*.f64 (*.f64 a a) (pow.f64 c 3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (*.f64 -3/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -1/2 (/.f64 c b) (*.f64 -3/8 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))))
(fma.f64 -1/2 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) -3/8) (/.f64 (pow.f64 b 3) a)))
(+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(fma.f64 -9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (fma.f64 -1/2 (/.f64 c b) (*.f64 -3/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))))
(fma.f64 -9/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 c b) (*.f64 -3/8 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))))
(fma.f64 -1/2 (/.f64 c b) (fma.f64 -3/8 (*.f64 a (*.f64 (/.f64 c (pow.f64 b 3)) c)) (*.f64 (/.f64 -9/16 (pow.f64 b 5)) (*.f64 (*.f64 a a) (pow.f64 c 3)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(fma.f64 -1/6 (/.f64 (*.f64 (pow.f64 a 3) (fma.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (/.f64 (*.f64 -9/8 (*.f64 c c)) (pow.f64 b 3)) 2))) b) (fma.f64 -9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (fma.f64 -1/2 (/.f64 c b) (*.f64 -3/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))))))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 a 3) b) (fma.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 81/64))) (fma.f64 -9/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 c b) (*.f64 -3/8 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))))))
(fma.f64 -1/6 (*.f64 (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 a 3) b)) (fma.f64 -1/2 (/.f64 c b) (fma.f64 -3/8 (*.f64 a (*.f64 (/.f64 c (pow.f64 b 3)) c)) (*.f64 (/.f64 -9/16 (pow.f64 b 5)) (*.f64 (*.f64 a a) (pow.f64 c 3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (*.f64 -3/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -1/2 (/.f64 c b) (*.f64 -3/8 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))))
(fma.f64 -1/2 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) -3/8) (/.f64 (pow.f64 b 3) a)))
(+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(fma.f64 -9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (fma.f64 -1/2 (/.f64 c b) (*.f64 -3/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))))
(fma.f64 -9/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 c b) (*.f64 -3/8 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c))))))
(fma.f64 -1/2 (/.f64 c b) (fma.f64 -3/8 (*.f64 a (*.f64 (/.f64 c (pow.f64 b 3)) c)) (*.f64 (/.f64 -9/16 (pow.f64 b 5)) (*.f64 (*.f64 a a) (pow.f64 c 3)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 c 4) (+.f64 (*.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (*.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (*.f64 a b))) (+.f64 (*.f64 -9/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (*.f64 -1/2 (/.f64 c b)) (*.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (*.f64 -9/8 (/.f64 (*.f64 a a) (pow.f64 b 3))) 2)) b)) (fma.f64 -9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (fma.f64 -1/2 (/.f64 c b) (*.f64 -3/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))))))
(fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 81/64)) b)) (fma.f64 -9/16 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 c b) (*.f64 -3/8 (/.f64 a (/.f64 (pow.f64 b 3) (*.f64 c c)))))))
(fma.f64 -9/16 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -1/6 (*.f64 (*.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 c 4) (*.f64 b a))) (fma.f64 -1/2 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) -3/8) (/.f64 (pow.f64 b 3) a)))))

eval542.0ms (2.6%)

Compiler

Compiled 19112 to 12378 computations (35.2% saved)

prune715.0ms (3.4%)

Pruning

44 alts after pruning (40 fresh and 4 done)

PrunedKeptTotal
New81627843
Fresh131326
Picked101
Done145
Total83144875
Error
4.0b
Counts
875 → 44
Alt Table
Click to see full alt table
StatusErrorProgram
59.3b
(*.f64 -1/3 (/.f64 b a))
32.5b
(-.f64 (/.f64 b (*.f64 a -3)) (/.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a -3)))
55.7b
(*.f64 1/2 (/.f64 c b))
▶46.6b
(fma.f64 (*.f64 -2/3 b) (/.f64 1 a) (*.f64 1/2 (/.f64 c b)))
57.9b
(exp.f64 (log.f64 (*.f64 -2/3 (/.f64 b a))))
46.5b
(/.f64 (*.f64 -2/3 b) a)
46.6b
(+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c)))
42.1b
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (*.f64 a (*.f64 -3 c)) 1/2)) (*.f64 3 a))
46.5b
(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
43.3b
(neg.f64 (/.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a -3) c))) b) (*.f64 a -3)))
46.5b
(/.f64 -2/3 (/.f64 a b))
45.8b
(*.f64 (/.f64 -3/2 (/.f64 b (*.f64 c a))) (/.f64 1/3 a))
✓30.7b
(*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) (/.f64 1 (*.f64 a -3)))
▶42.8b
(*.f64 -1/2 (/.f64 c b))
45.8b
(/.f64 (*.f64 (/.f64 -3/2 b) (*.f64 c a)) (*.f64 3 a))
44.1b
(*.f64 (-.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c)))) (/.f64 1 (*.f64 a -3)))
54.3b
(fma.f64 -9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (fma.f64 -1/2 (/.f64 c b) (fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c a))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (/.f64 a -1/6)) (pow.f64 b 7)))))
44.7b
(*.f64 (*.f64 -1/2 (*.f64 (*.f64 a -3) (/.f64 c b))) (/.f64 1 (*.f64 a -3)))
42.4b
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))) 3)) (*.f64 3 a))
42.1b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 -3 (*.f64 c a)))) (*.f64 3 a))
33.1b
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 c (*.f64 a -3)) (*.f64 b b))) b) (/.f64 1/3 a))
59.0b
(sqrt.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9))
46.5b
(*.f64 (/.f64 -2/3 a) b)
▶30.7b
(/.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b) 1/3) a)
55.4b
(*.f64 (-.f64 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) b) b) (/.f64 1/3 a))
▶46.7b
(/.f64 (*.f64 b -2) (*.f64 3 a))
✓46.5b
(*.f64 -2/3 (/.f64 b a))
59.3b
(/.f64 (neg.f64 b) (*.f64 3 a))
✓33.0b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
46.7b
(pow.f64 (cbrt.f64 (*.f64 -2/3 (/.f64 b a))) 3)
44.7b
(/.f64 (exp.f64 (log.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a -3) c))) b))) (*.f64 3 a))
61.1b
(pow.f64 (pow.f64 (*.f64 -2/3 (/.f64 b a)) 3) 1/3)
55.4b
(*.f64 (-.f64 b b) (/.f64 1/3 a))
50.0b
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c))) (*.f64 3 a))
46.9b
(*.f64 (fma.f64 (*.f64 (*.f64 a -3) (/.f64 c b)) 1/2 (*.f64 b 2)) (/.f64 1 (*.f64 a -3)))
48.2b
(*.f64 (+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (/.f64 1/3 a))
49.4b
(fma.f64 -1/2 (/.f64 c b) (fma.f64 -3/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3))) (/.f64 -9/16 (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a (pow.f64 c 3)))))))
✓42.0b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -3)))) (*.f64 3 a))
43.2b
(/.f64 -1/2 (/.f64 b c))
46.8b
(*.f64 (*.f64 b 2) (/.f64 1 (*.f64 a -3)))
42.1b
(*.f64 (-.f64 (sqrt.f64 (*.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
42.1b
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
▶30.7b
(/.f64 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) -3) a)
44.7b
(/.f64 (*.f64 -3/2 (*.f64 a (/.f64 c b))) (*.f64 3 a))
Compiler

Compiled 1277 to 944 computations (26.1% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 a (*.f64 -3 c))
✓0.3b
(/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) -3)
✓1.2b
(-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))
✓12.1b
(sqrt.f64 (*.f64 a (*.f64 -3 c)))
Compiler

Compiled 65 to 41 computations (36.9% saved)

series31.0ms (0.1%)

Counts
4 → 48
Calls

30 calls:

TimeVariablePointExpression
3.0ms
a
@inf
(/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) -3)
2.0ms
c
@inf
(/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) -3)
2.0ms
c
@-inf
(/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) -3)
2.0ms
a
@-inf
(/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) -3)
2.0ms
a
@inf
(sqrt.f64 (*.f64 a (*.f64 -3 c)))

rewrite109.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
599×prod-diff_binary64
598×log-prod_binary64
314×pow2_binary64
263×fma-def_binary64
219×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01149
124449
2319149
Stop Event
1×node limit
Counts
4 → 192
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 a (*.f64 -3 c)))
(-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))
(/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) -3)
(*.f64 a (*.f64 -3 c))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 c (*.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 a -3)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 c (*.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c (*.f64 a -3))) (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 a -3)))) (cbrt.f64 (*.f64 c (*.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -3 c)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 -3 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c (*.f64 a -3)) 1/4) (pow.f64 (*.f64 c (*.f64 a -3)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 c (*.f64 a -3)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 c (*.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (*.f64 a -3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 a -3)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 c (*.f64 a -3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 a -3)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (*.f64 a -3)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 a -3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 a -3)))) 1))))))
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(hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b)) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b)) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b)) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b)) -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b)) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b)) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b)) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b)) -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b -1/3 (neg.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 b -1/3) (neg.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 b -1/3)) 2) (cbrt.f64 (*.f64 b -1/3)) (neg.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 b -1/3)) (sqrt.f64 (*.f64 b -1/3)) (neg.f64 (*.f64 (hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b) -1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c (*.f64 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 a -3)) c)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 a -3)) c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 a -3)) c))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 a -3)) c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c (*.f64 a -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (*.f64 a -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 a -3)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 a -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c (*.f64 a -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a 3) (pow.f64 (*.f64 -3 c) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 -3 c) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 c (*.f64 a -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 a -3)) c))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c (*.f64 a -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (*.f64 a -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (*.f64 -3 c) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 -3 c) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c (*.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c (*.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c (*.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 a -3))) 1))))))

simplify73.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
779×associate-*l*_binary64
671×times-frac_binary64
505×unswap-sqr_binary64
499×associate-/l*_binary64
467×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01271277
13691091
212991019
36640995
Stop Event
1×node limit
Counts
240 → 242
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 b (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(+.f64 b (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 b (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (pow.f64 b 7))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))))))
(*.f64 2 b)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (*.f64 2 b))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (*.f64 2 b)))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (*.f64 2 b))))
(*.f64 1/3 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))) (*.f64 -1/3 b))
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))) (+.f64 (*.f64 -1/3 b) (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3))))))
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))) (+.f64 (*.f64 -1/3 b) (+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (*.f64 -1/24 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))))))
(*.f64 1/6 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))
(+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (*.f64 1/6 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)))
(+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (*.f64 1/6 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (pow.f64 b 7))) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (*.f64 1/6 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)))))
(*.f64 -2/3 b)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (*.f64 -2/3 b))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (*.f64 -2/3 b) (*.f64 1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (*.f64 -2/3 b) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (*.f64 -1/48 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))))))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
(*.f64 -3 (*.f64 c a))
Outputs
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(*.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -3)))
(+.f64 b (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))) b)
(-.f64 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -3)) b)
(+.f64 b (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(+.f64 b (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (*.f64 b b) (sqrt.f64 -3))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(-.f64 (+.f64 b (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (*.f64 b b) (sqrt.f64 -3))))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -3)) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (*.f64 (*.f64 b b) -1/2) (sqrt.f64 -3)) b))
(+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 b (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (*.f64 -1 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))))
(fma.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (+.f64 b (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (*.f64 b b) (sqrt.f64 -3))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))))
(fma.f64 1/8 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -3) -3))) (-.f64 (+.f64 b (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (*.f64 b b) (sqrt.f64 -3))))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -3)) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 (*.f64 (*.f64 b b) -1/2) (sqrt.f64 -3)) b)) (*.f64 -1/24 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4)))))
(+.f64 b (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (*.f64 (/.f64 b (sqrt.f64 -3)) b)) (-.f64 (*.f64 -1/24 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4)))) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))
(*.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b))
(/.f64 (*.f64 -1/2 c) (/.f64 (/.f64 b -3) a))
(/.f64 (*.f64 (*.f64 c a) 3/2) b)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (*.f64 1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3))))
(fma.f64 1/8 (/.f64 c (/.f64 (/.f64 (/.f64 (pow.f64 b 3) 9) (*.f64 a a)) c)) (/.f64 (*.f64 -1/2 c) (/.f64 (/.f64 b -3) a)))
(+.f64 (/.f64 (*.f64 (*.f64 c a) 3/2) b) (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) 9/8) (pow.f64 b 3)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5)))))
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(*.f64 (*.f64 c a) -3)
(*.f64 c (*.f64 a -3))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 c a) -3)
(*.f64 c (*.f64 a -3))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 c a) -3)
(*.f64 c (*.f64 a -3))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 c a) -3)
(*.f64 c (*.f64 a -3))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 c a) -3)
(*.f64 c (*.f64 a -3))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 c a) -3)
(*.f64 c (*.f64 a -3))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 c a) -3)
(*.f64 c (*.f64 a -3))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 c a) -3)
(*.f64 c (*.f64 a -3))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 c a) -3)
(*.f64 c (*.f64 a -3))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 c a) -3)
(*.f64 c (*.f64 a -3))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 c a) -3)
(*.f64 c (*.f64 a -3))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 c a) -3)
(*.f64 c (*.f64 a -3))
(*.f64 -3 (*.f64 c a))
(*.f64 (*.f64 c a) -3)
(*.f64 c (*.f64 a -3))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 -1/2 (/.f64 c b))
Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
c
@0
(*.f64 -1/2 (/.f64 c b))
0.0ms
b
@0
(*.f64 -1/2 (/.f64 c b))
0.0ms
c
@inf
(*.f64 -1/2 (/.f64 c b))
0.0ms
c
@-inf
(*.f64 -1/2 (/.f64 c b))
0.0ms
b
@-inf
(*.f64 -1/2 (/.f64 c b))

rewrite56.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
653×pow1_binary64
606×add-log-exp_binary64
606×log1p-expm1-u_binary64
606×expm1-log1p-u_binary64
594×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11277
216107
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 c b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 -1/2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 c) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -1/2 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) -1/2) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (neg.f64 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (/.f64 c b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 c b) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b))))))))

simplify7.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
20 → 20
Calls
Call 1
Inputs
Outputs

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.5b
(/.f64 (*.f64 b -2) (*.f64 3 a))
Compiler

Compiled 20 to 14 computations (30% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
b
@0
(/.f64 (*.f64 b -2) (*.f64 3 a))
0.0ms
a
@-inf
(/.f64 (*.f64 b -2) (*.f64 3 a))
0.0ms
b
@-inf
(/.f64 (*.f64 b -2) (*.f64 3 a))
0.0ms
a
@0
(/.f64 (*.f64 b -2) (*.f64 3 a))
0.0ms
b
@inf
(/.f64 (*.f64 b -2) (*.f64 3 a))

rewrite60.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
920×pow1_binary64
862×add-log-exp_binary64
861×log1p-expm1-u_binary64
861×expm1-log1p-u_binary64
848×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0810
11737
222737
Stop Event
1×node limit
Counts
1 → 52
Calls
Call 1
Inputs
(/.f64 (*.f64 b -2) (*.f64 3 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (/.f64 a -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 -2 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 b (*.f64 3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 b (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b -2) (/.f64 1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2/3 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2/3 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2/3 (/.f64 b a))) (pow.f64 (cbrt.f64 (*.f64 -2/3 (/.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -2/3 (/.f64 b a))) 2) (cbrt.f64 (*.f64 -2/3 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 b -2)) 2) (*.f64 (cbrt.f64 (*.f64 b -2)) (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -2/3 (/.f64 b a))) (sqrt.f64 (*.f64 -2/3 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 b -2)) (*.f64 (sqrt.f64 (*.f64 b -2)) (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b 2) (/.f64 1 (*.f64 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b 3) (/.f64 -2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 a) (/.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 a) (*.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b -3/2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 (*.f64 b -2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/3 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 b -2)) 2) 3) (/.f64 (cbrt.f64 (*.f64 b -2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 b -2)) 3) (/.f64 (sqrt.f64 (*.f64 b -2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 b -2)) a) (/.f64 (sqrt.f64 (*.f64 b -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 b -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 b -2)) 2) a) (/.f64 (cbrt.f64 (*.f64 b -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b 1) (/.f64 -2 (*.f64 3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (*.f64 3 a)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 b -2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 b -2)) (*.f64 3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 b -2)) 1) (/.f64 (sqrt.f64 (*.f64 b -2)) (*.f64 3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (pow.f64 (cbrt.f64 (*.f64 3 a)) 2)) (/.f64 -2 (cbrt.f64 (*.f64 3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (*.f64 3 a)) 2)) (/.f64 b (cbrt.f64 (*.f64 3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 3 a)) 2)) (/.f64 (*.f64 b -2) (cbrt.f64 (*.f64 3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 b -2)) 2) (pow.f64 (cbrt.f64 (*.f64 3 a)) 2)) (cbrt.f64 (*.f64 -2/3 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 b -2)) (pow.f64 (cbrt.f64 (*.f64 3 a)) 2)) (/.f64 (sqrt.f64 (*.f64 b -2)) (cbrt.f64 (*.f64 3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (sqrt.f64 (*.f64 3 a))) (/.f64 -2 (sqrt.f64 (*.f64 3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sqrt.f64 (*.f64 3 a))) (/.f64 b (sqrt.f64 (*.f64 3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 3 a))) (/.f64 (*.f64 b -2) (sqrt.f64 (*.f64 3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 b -2)) 2) (sqrt.f64 (*.f64 3 a))) (/.f64 (cbrt.f64 (*.f64 b -2)) (sqrt.f64 (*.f64 3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/3 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2/3 (/.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2/3 (/.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2/3 (/.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (/.f64 b -3/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 b -2) (*.f64 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -2/3 (/.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -2/3 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2/3 (/.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 b -2) 3) (pow.f64 (*.f64 3 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2/3 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2/3 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2/3 (/.f64 b a))))))))

simplify15.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
19168
213168
317168
418168
Stop Event
1×saturated
Counts
76 → 52
Calls
Call 1
Inputs
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
Outputs
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 1/2 (/.f64 c b))
✓0.2b
(fma.f64 (*.f64 -2/3 b) (/.f64 1 a) (*.f64 1/2 (/.f64 c b)))
✓0.4b
(*.f64 -2/3 b)
Compiler

Compiled 35 to 20 computations (42.9% saved)

series5.0ms (0%)

Counts
2 → 36
Calls

12 calls:

TimeVariablePointExpression
1.0ms
b
@0
(*.f64 -2/3 b)
1.0ms
a
@0
(fma.f64 (*.f64 -2/3 b) (/.f64 1 a) (*.f64 1/2 (/.f64 c b)))
0.0ms
b
@0
(fma.f64 (*.f64 -2/3 b) (/.f64 1 a) (*.f64 1/2 (/.f64 c b)))
0.0ms
c
@0
(fma.f64 (*.f64 -2/3 b) (/.f64 1 a) (*.f64 1/2 (/.f64 c b)))
0.0ms
b
@inf
(*.f64 -2/3 b)

rewrite96.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
559×log-prod_binary64
306×pow2_binary64
305×pow-prod-down_binary64
224×prod-diff_binary64
213×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01221
124720
2294818
Stop Event
1×node limit
Counts
2 → 55
Calls
Call 1
Inputs
(*.f64 -2/3 b)
(fma.f64 (*.f64 -2/3 b) (/.f64 1 a) (*.f64 1/2 (/.f64 c b)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2/3 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) b)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) b))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2/3 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/3 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4/9 (*.f64 b b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2/3 b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2/3 b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2/3 b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/9 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2/3) b))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2/3 b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2/3 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 -2/3 b) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -2/3 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -2/3 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -2/3 b)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 c b)) (/.f64 (*.f64 -2/3 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -2/3 b) a) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 -2/3 b) a) 1) (*.f64 1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))) 2) (cbrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))) (sqrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (*.f64 -2/3 b) a) 3) (pow.f64 (*.f64 1/2 (/.f64 c b)) 3)) (+.f64 (pow.f64 (/.f64 (*.f64 -2/3 b) a) 2) (-.f64 (*.f64 1/4 (pow.f64 (/.f64 c b) 2)) (*.f64 (/.f64 (*.f64 -2/3 b) a) (*.f64 1/2 (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (*.f64 -2/3 b) a) 2) (*.f64 1/4 (pow.f64 (/.f64 c b) 2))) (-.f64 (/.f64 (*.f64 -2/3 b) a) (*.f64 1/2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (sqrt.f64 (exp.f64 (/.f64 c b))) (exp.f64 (/.f64 (*.f64 -2/3 b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b)))) (exp.f64 (/.f64 (*.f64 -2/3 b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 -2/3 b) a)) (+.f64 1 (expm1.f64 (*.f64 1/2 (/.f64 c b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/2 (/.f64 c b) (/.f64 (*.f64 -2/3 b) a))) 1) 1))))))

simplify46.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
8×fma-def_binary64
6×*-commutative_binary64
4×associate-/l*_binary64
2×associate-*r/_binary64
2×associate-*l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011441
119441
230441
338441
442441
544441
Stop Event
1×saturated
Counts
91 → 61
Calls
Call 1
Inputs
(*.f64 1/2 (/.f64 c b))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(*.f64 -2/3 (/.f64 b a))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(*.f64 -2/3 (/.f64 b a))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(*.f64 -2/3 (/.f64 b a))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(*.f64 1/2 (/.f64 c b))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(*.f64 1/2 (/.f64 c b))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(*.f64 -2/3 (/.f64 b a))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(*.f64 1/2 (/.f64 c b))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(*.f64 1/2 (/.f64 c b))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
Outputs
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 1/2 c) b)
(*.f64 (/.f64 1/2 b) c)
(*.f64 c (/.f64 1/2 b))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(*.f64 -2/3 (/.f64 b a))
(*.f64 b (/.f64 -2/3 a))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(*.f64 -2/3 (/.f64 b a))
(*.f64 b (/.f64 -2/3 a))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(*.f64 -2/3 (/.f64 b a))
(*.f64 b (/.f64 -2/3 a))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 1/2 c) b)
(*.f64 (/.f64 1/2 b) c)
(*.f64 c (/.f64 1/2 b))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 1/2 c) b)
(*.f64 (/.f64 1/2 b) c)
(*.f64 c (/.f64 1/2 b))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(*.f64 -2/3 (/.f64 b a))
(*.f64 b (/.f64 -2/3 a))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 1/2 c) b)
(*.f64 (/.f64 1/2 b) c)
(*.f64 c (/.f64 1/2 b))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 1/2 c) b)
(*.f64 (/.f64 1/2 b) c)
(*.f64 c (/.f64 1/2 b))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (/.f64 (*.f64 1/2 c) b))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 1/2 b) c))
(fma.f64 -2/3 (/.f64 b a) (*.f64 c (/.f64 1/2 b)))
(fma.f64 b (/.f64 -2/3 a) (*.f64 c (/.f64 1/2 b)))

localize73.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 c (*.f64 a -3))
✓0.4b
(*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b) 1/3)
✓1.2b
(-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b)
12.1b
(sqrt.f64 (*.f64 c (*.f64 a -3)))
Compiler

Compiled 66 to 42 computations (36.4% saved)

series40.0ms (0.2%)

Counts
2 → 24
Calls

18 calls:

TimeVariablePointExpression
10.0ms
a
@-inf
(*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b) 1/3)
3.0ms
c
@-inf
(*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b) 1/3)
3.0ms
c
@inf
(*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b) 1/3)
2.0ms
c
@inf
(-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b)
2.0ms
a
@inf
(*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b) 1/3)

rewrite104.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
601×log-prod_binary64
566×prod-diff_binary64
321×pow2_binary64
236×fma-def_binary64
224×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
125533
2316433
Stop Event
1×node limit
Counts
2 → 119
Calls
Call 1
Inputs
(-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b)
(*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b) 1/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) (*.f64 (neg.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b) (fma.f64 (neg.f64 b) 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b) (+.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b) (fma.f64 -1 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x 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b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b)) 2) (cbrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b)) (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 3/2) (pow.f64 b 3)) (/.f64 1 (fma.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) (fma.f64 c (*.f64 a -3) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) (*.f64 b b)) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) (sqrt.f64 b)) (-.f64 (sqrt.f64 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b) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 b (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) (fma.f64 c (*.f64 a -3) (*.f64 b b))) (-.f64 (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 3/2) (pow.f64 b 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) (-.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) (*.f64 b b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 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simplify89.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
783×associate-*l*_binary64
673×times-frac_binary64
505×unswap-sqr_binary64
500×associate-/l*_binary64
478×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01261104
1364914
21289847
36679823
Stop Event
1×node limit
Counts
143 → 166
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (pow.f64 b 7))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(*.f64 -2 b)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (*.f64 -2 b))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (*.f64 -2 b) (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))))))
(*.f64 1/3 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))) (*.f64 -1/3 b))
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))) (+.f64 (*.f64 -1/3 b) (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3))))))
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))) (+.f64 (*.f64 -1/3 b) (+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (*.f64 -1/24 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))))))
(*.f64 1/6 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))
(+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (*.f64 1/6 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)))
(+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (*.f64 1/6 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (pow.f64 b 7))) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (*.f64 1/6 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)))))
(*.f64 -2/3 b)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (*.f64 -2/3 b))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (*.f64 -2/3 b) (*.f64 1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (*.f64 -2/3 b) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (*.f64 -1/48 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))
(+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 -1 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (neg.f64 b))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 b b)) (sqrt.f64 -3)) (fma.f64 -1 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (sqrt.f64 -3) (*.f64 b b))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (neg.f64 b)))
(-.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 b b))) (sqrt.f64 -3))) b)
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 -1 b) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 b b)) (sqrt.f64 -3)) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 -1 b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (sqrt.f64 -3) (*.f64 b b))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -3) -3))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (neg.f64 b))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 (/.f64 b (sqrt.f64 -3)) b)) (-.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (*.f64 1/24 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))))) b))
(fma.f64 1/24 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) (-.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 1/2 (*.f64 b b))) (sqrt.f64 -3))) b))
(*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))
(/.f64 (*.f64 1/2 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -3) 2))) b)
(/.f64 1/2 (/.f64 b (*.f64 (*.f64 c a) -3)))
(/.f64 (*.f64 (*.f64 c a) -3/2) b)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))
(fma.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (*.f64 -1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3))))
(fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -3)) (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -9/8) (pow.f64 b 3)))
(+.f64 (/.f64 (*.f64 (*.f64 c a) -3/2) b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 (*.f64 a a) -9/8)))
(+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(fma.f64 1/16 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -3) 6)) (pow.f64 b 5)) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (*.f64 -1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) -27))) (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -3)) (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -9/8) (pow.f64 b 3))))
(+.f64 (/.f64 (*.f64 (*.f64 c a) -3/2) b) (+.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 (*.f64 a a) -9/8)) (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -27/16) (pow.f64 b 5))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (pow.f64 b 7))) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8))) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -3) 4))) 2)) (pow.f64 b 7)) (fma.f64 1/16 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -3) 6)) (pow.f64 b 5)) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (*.f64 -1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3))))))
(fma.f64 -1/2 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/16) (pow.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -9/8) 2)) (pow.f64 b 7)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) -27))) (fma.f64 1/2 (*.f64 (/.f64 c b) (*.f64 a -3)) (/.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -9/8) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 81) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (pow.f64 b 7)) (+.f64 (/.f64 (*.f64 (*.f64 c a) -3/2) b) (+.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 (*.f64 a a) -9/8)) (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -27/16) (pow.f64 b 5)))))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) (+.f64 (/.f64 (*.f64 (*.f64 c a) -3/2) b) (+.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 (*.f64 a a) -9/8)) (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -27/16) (pow.f64 b 5)))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (*.f64 -2 b))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (*.f64 b -2))
(fma.f64 b -2 (*.f64 (*.f64 (/.f64 c b) (*.f64 a -3)) -1/2))
(fma.f64 b -2 (/.f64 (*.f64 (*.f64 c a) 3/2) b))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (*.f64 -2 b) (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (fma.f64 -2 b (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3)) 1/8)))
(fma.f64 (*.f64 (/.f64 c b) (*.f64 a -3)) -1/2 (fma.f64 b -2 (/.f64 (*.f64 (*.f64 1/8 (*.f64 a (*.f64 a 9))) (*.f64 c c)) (pow.f64 b 3))))
(+.f64 (fma.f64 b -2 (/.f64 (*.f64 (*.f64 c a) 3/2) b)) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c a))) 9/8) (pow.f64 b 3)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (*.f64 -2 b) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))))))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (fma.f64 -2 b (fma.f64 1/8 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -3) 6)) (pow.f64 b 5)) -1/16))))
(fma.f64 (*.f64 (/.f64 c b) (*.f64 a -3)) -1/2 (fma.f64 b -2 (fma.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (*.f64 a 9)))) 1/8 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) -27))) -1/16))))
(+.f64 (/.f64 (*.f64 (*.f64 c a) 3/2) b) (+.f64 (fma.f64 b -2 (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c a))) 9/8) (pow.f64 b 3))) (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) 27/16) (pow.f64 b 5))))
(*.f64 1/3 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(*.f64 (*.f64 1/3 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -3))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -3) 1/3))
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))) (*.f64 -1/3 b))
(fma.f64 1/3 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)) (*.f64 b -1/3))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)) 1/3 (*.f64 b -1/3))
(fma.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -3) 1/3) (*.f64 b -1/3))
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))) (+.f64 (*.f64 -1/3 b) (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3))))))
(fma.f64 1/3 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)) (fma.f64 -1/3 b (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 b b)) (sqrt.f64 -3)) 1/6)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)) 1/3 (fma.f64 b -1/3 (/.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 b b))) (sqrt.f64 -3))))
(fma.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -3) 1/3) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 1/6 (*.f64 b b)) (sqrt.f64 -3)) (*.f64 b -1/3)))
(+.f64 (*.f64 1/3 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))) (+.f64 (*.f64 -1/3 b) (+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (*.f64 -1/24 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))))))
(fma.f64 1/3 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)) (fma.f64 -1/3 b (fma.f64 1/6 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (*.f64 b b)) (sqrt.f64 -3)) (*.f64 (*.f64 -1/24 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)) 1/3 (fma.f64 b -1/3 (fma.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (sqrt.f64 -3) (*.f64 b b))) 1/6 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 (/.f64 (pow.f64 b 4) (*.f64 (sqrt.f64 -3) -3)) -1/24)))))
(fma.f64 b -1/3 (fma.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -3) 1/3) (fma.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (*.f64 1/6 (*.f64 b b)) (sqrt.f64 -3)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) 1/72))))
(fma.f64 b -1/3 (fma.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 -3) 1/3) (*.f64 (*.f64 (/.f64 b (sqrt.f64 -3)) b) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) 1/6) (*.f64 (/.f64 (*.f64 b b) -3) (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) -1/24))))))
(*.f64 1/6 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))
(*.f64 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) 1/6)
(*.f64 (*.f64 (/.f64 c b) (*.f64 a -3)) 1/6)
(/.f64 (*.f64 (*.f64 c a) -1/2) b)
(+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (*.f64 1/6 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)))
(fma.f64 -1/24 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3)) (*.f64 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) 1/6))
(fma.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (*.f64 a 9)))) -1/24 (*.f64 (*.f64 (/.f64 c b) (*.f64 a -3)) 1/6))
(+.f64 (/.f64 (*.f64 (*.f64 c a) -1/2) b) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c a))) -3/8) (pow.f64 b 3)))
(+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (*.f64 1/6 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b))))
(fma.f64 1/48 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -3) 6)) (pow.f64 b 5)) (fma.f64 -1/24 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3)) (*.f64 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) 1/6)))
(fma.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) -27))) 1/48 (fma.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (*.f64 a 9)))) -1/24 (*.f64 (*.f64 (/.f64 c b) (*.f64 a -3)) 1/6)))
(+.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c a))) -3/8) (pow.f64 b 3)) (+.f64 (/.f64 (*.f64 (*.f64 c a) -1/2) b) (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -9/16) (pow.f64 b 5))))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (pow.f64 b 7))) (+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (*.f64 1/6 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)))))
(fma.f64 -1/6 (/.f64 (fma.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8))) (pow.f64 (*.f64 -1/8 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -3) 4))) 2)) (pow.f64 b 7)) (fma.f64 1/48 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -3) 6)) (pow.f64 b 5)) (fma.f64 -1/24 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3)) (*.f64 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) 1/6))))
(fma.f64 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/16) (pow.f64 (*.f64 (*.f64 (*.f64 c a) (*.f64 c a)) -9/8) 2)) (pow.f64 b 7)) -1/6 (fma.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) -27))) 1/48 (fma.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (*.f64 a 9)))) -1/24 (*.f64 (*.f64 (/.f64 c b) (*.f64 a -3)) 1/6))))
(fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 81) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (pow.f64 b 7)) -1/6 (+.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c a))) -3/8) (pow.f64 b 3)) (+.f64 (/.f64 (*.f64 (*.f64 c a) -1/2) b) (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -9/16) (pow.f64 b 5)))))
(+.f64 (/.f64 (*.f64 (*.f64 c a) -1/2) b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) -1/6 (+.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c a))) -3/8) (pow.f64 b 3)) (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -9/16) (pow.f64 b 5)))))
(*.f64 -2/3 b)
(*.f64 b -2/3)
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (*.f64 -2/3 b))
(fma.f64 -1/6 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (*.f64 b -2/3))
(fma.f64 (*.f64 (/.f64 c b) (*.f64 a -3)) -1/6 (*.f64 b -2/3))
(fma.f64 b -2/3 (/.f64 (*.f64 (*.f64 c a) 1/2) b))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (*.f64 -2/3 b) (*.f64 1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(fma.f64 -1/6 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (fma.f64 -2/3 b (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3)) 1/24)))
(fma.f64 (*.f64 (/.f64 c b) (*.f64 a -3)) -1/6 (fma.f64 b -2/3 (*.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (*.f64 a 9)))) 1/24)))
(+.f64 (fma.f64 b -2/3 (/.f64 (*.f64 (*.f64 c a) 1/2) b)) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c a))) 3/8) (pow.f64 b 3)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 c (*.f64 a (pow.f64 (sqrt.f64 -3) 2))) b)) (+.f64 (*.f64 -2/3 b) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))) (*.f64 -1/48 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))))))
(fma.f64 -1/6 (/.f64 (*.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -3) 2)) b) (fma.f64 -2/3 b (fma.f64 1/24 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -3) 6)) (pow.f64 b 5)) -1/48))))
(fma.f64 (*.f64 (/.f64 c b) (*.f64 a -3)) -1/6 (fma.f64 b -2/3 (fma.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (*.f64 a 9)))) 1/24 (*.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) -27))) -1/48))))
(+.f64 (/.f64 (*.f64 (*.f64 c a) 1/2) b) (+.f64 (fma.f64 b -2/3 (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c a))) 3/8) (pow.f64 b 3))) (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) 9/16) (pow.f64 b 5))))

eval437.0ms (2.1%)

Compiler

Compiled 14080 to 9454 computations (32.9% saved)

prune166.0ms (0.8%)

Pruning

56 alts after pruning (47 fresh and 9 done)

PrunedKeptTotal
New60219621
Fresh72835
Picked011
Done088
Total60956665
Error
0.1b
Counts
665 → 56
Alt Table
Click to see full alt table
StatusErrorProgram
▶59.3b
(*.f64 -1/3 (/.f64 b a))
▶32.5b
(-.f64 (/.f64 b (*.f64 a -3)) (/.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a -3)))
55.7b
(*.f64 1/2 (/.f64 c b))
46.7b
(/.f64 (/.f64 (*.f64 b 2) -3) a)
46.5b
(*.f64 (/.f64 b 1) (/.f64 -2 (*.f64 3 a)))
▶43.1b
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 3)
✓46.6b
(fma.f64 (*.f64 -2/3 b) (/.f64 1 a) (*.f64 1/2 (/.f64 c b)))
57.9b
(exp.f64 (log.f64 (*.f64 -2/3 (/.f64 b a))))
46.6b
(+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c)))
42.1b
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (*.f64 a (*.f64 -3 c)) 1/2)) (*.f64 3 a))
▶46.5b
(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
55.4b
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 c a) -1/2) b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) -1/6 (+.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c a))) -3/8) (pow.f64 b 3)) (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -9/16) (pow.f64 b 5))))) a)
43.3b
(neg.f64 (/.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a -3) c))) b) (*.f64 a -3)))
54.2b
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 c a) -3/2) b) (+.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 (*.f64 a a) -9/8)) (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -27/16) (pow.f64 b 5)))) 1/3) a)
✓30.7b
(*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) (/.f64 1 (*.f64 a -3)))
46.5b
(/.f64 -2/3 (/.f64 a b))
45.7b
(/.f64 (/.f64 (*.f64 (*.f64 c a) -1/2) b) a)
45.8b
(*.f64 (/.f64 -3/2 (/.f64 b (*.f64 c a))) (/.f64 1/3 a))
✓42.8b
(*.f64 -1/2 (/.f64 c b))
51.0b
(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b))))
54.3b
(fma.f64 -9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (fma.f64 -1/2 (/.f64 c b) (fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c a))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (/.f64 a -1/6)) (pow.f64 b 7)))))
44.7b
(*.f64 (*.f64 -1/2 (*.f64 (*.f64 a -3) (/.f64 c b))) (/.f64 1 (*.f64 a -3)))
46.7b
(pow.f64 (cbrt.f64 (*.f64 -2/3 (/.f64 b a))) 3)
42.4b
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))) 3)) (*.f64 3 a))
43.7b
(/.f64 (/.f64 (-.f64 b (hypot.f64 (*.f64 (sqrt.f64 (*.f64 -3 c)) (sqrt.f64 a)) b)) -3) a)
34.8b
(/.f64 (fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) 1/3 (*.f64 (neg.f64 b) 1/3)) a)
46.5b
(*.f64 (/.f64 b 3) (/.f64 -2 a))
42.1b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 -3 (*.f64 c a)))) (*.f64 3 a))
33.1b
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 c (*.f64 a -3)) (*.f64 b b))) b) (/.f64 1/3 a))
59.0b
(sqrt.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9))
46.5b
(*.f64 (/.f64 -2/3 a) b)
✓30.7b
(/.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b) 1/3) a)
55.4b
(*.f64 (-.f64 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) b) b) (/.f64 1/3 a))
✓46.7b
(/.f64 (*.f64 b -2) (*.f64 3 a))
52.6b
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
✓46.5b
(*.f64 -2/3 (/.f64 b a))
59.3b
(/.f64 (neg.f64 b) (*.f64 3 a))
✓33.0b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
61.1b
(pow.f64 (pow.f64 (*.f64 -2/3 (/.f64 b a)) 3) 1/3)
55.4b
(*.f64 (-.f64 b b) (/.f64 1/3 a))
43.7b
(/.f64 (/.f64 (*.f64 -1/2 c) (sqrt.f64 b)) (sqrt.f64 b))
50.0b
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c))) (*.f64 3 a))
46.9b
(*.f64 (fma.f64 (*.f64 (*.f64 a -3) (/.f64 c b)) 1/2 (*.f64 b 2)) (/.f64 1 (*.f64 a -3)))
48.2b
(*.f64 (+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (/.f64 1/3 a))
54.2b
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -3/8) (pow.f64 b 3)) (+.f64 (/.f64 (*.f64 (*.f64 c a) -1/2) b) (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -9/16) (pow.f64 b 5)))) a)
42.1b
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
45.7b
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 c a) -3/2) b) 1/3) a)
✓42.0b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -3)))) (*.f64 3 a))
43.2b
(/.f64 -1/2 (/.f64 b c))
▶42.1b
(*.f64 (-.f64 (sqrt.f64 (*.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
55.7b
(*.f64 c (/.f64 1/2 b))
46.5b
(*.f64 b (/.f64 1 (/.f64 a -2/3)))
46.5b
(/.f64 (*.f64 b -2/3) a)
✓30.7b
(/.f64 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) -3) a)
44.1b
(/.f64 (/.f64 (-.f64 b (hypot.f64 (*.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c)) b)) -3) a)
44.7b
(/.f64 (*.f64 -3/2 (*.f64 a (/.f64 c b))) (*.f64 3 a))
Compiler

Compiled 1642 to 1213 computations (26.1% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 a (*.f64 -3 c))
✓0.2b
(/.f64 b (*.f64 a -3))
✓3.4b
(-.f64 (/.f64 b (*.f64 a -3)) (/.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a -3)))
12.1b
(sqrt.f64 (*.f64 a (*.f64 -3 c)))
Compiler

Compiled 67 to 43 computations (35.8% saved)

series24.0ms (0.1%)

Counts
2 → 36
Calls

15 calls:

TimeVariablePointExpression
6.0ms
c
@-inf
(-.f64 (/.f64 b (*.f64 a -3)) (/.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a -3)))
2.0ms
a
@inf
(-.f64 (/.f64 b (*.f64 a -3)) (/.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a -3)))
2.0ms
c
@inf
(-.f64 (/.f64 b (*.f64 a -3)) (/.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a -3)))
2.0ms
a
@-inf
(-.f64 (/.f64 b (*.f64 a -3)) (/.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a -3)))
2.0ms
c
@0
(-.f64 (/.f64 b (*.f64 a -3)) (/.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a -3)))

rewrite166.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
845×log-prod_binary64
503×fma-def_binary64
327×fma-neg_binary64
280×log-div_binary64
266×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01328
129328
2448028
Stop Event
1×node limit
Counts
2 → 224
Calls
Call 1
Inputs
(-.f64 (/.f64 b (*.f64 a -3)) (/.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a -3)))
(/.f64 b (*.f64 a -3))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 b (/.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 b (/.f64 -1/3 a)))) (cbrt.f64 (exp.f64 (*.f64 b (/.f64 -1/3 a)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 b (/.f64 -1/3 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 b (/.f64 -1/3 a))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 b (/.f64 -1/3 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 b (/.f64 -1/3 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 -1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b (/.f64 -1/3 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 b (/.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b (/.f64 -1/3 a))) (pow.f64 (cbrt.f64 (*.f64 b (/.f64 -1/3 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 b (/.f64 -1/3 a))) 2) (cbrt.f64 (*.f64 b (/.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 -1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 b (/.f64 -1/3 a))) (sqrt.f64 (*.f64 b (/.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (*.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (*.f64 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (*.f64 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (/.f64 b -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (*.f64 a a) 9))) (/.f64 b (cbrt.f64 (*.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 a -3))) (/.f64 b (sqrt.f64 (*.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) -3) (/.f64 (sqrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) -3) (/.f64 (cbrt.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (*.f64 (*.f64 a a) 9))) (cbrt.f64 (*.f64 b (/.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (*.f64 (*.f64 a a) 9))) (/.f64 (sqrt.f64 b) (cbrt.f64 (*.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (*.f64 a -3))) (/.f64 (cbrt.f64 b) (sqrt.f64 (*.f64 a -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (/.f64 -1/3 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (/.f64 -1/3 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 b (/.f64 -1/3 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (/.f64 -1/3 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -3 (/.f64 a b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (*.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b (/.f64 -1/3 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 b (/.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 b (/.f64 -1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (/.f64 -1/3 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (/.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (/.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (/.f64 -1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 b (/.f64 -1/3 a))) 1))))))

simplify81.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
695×unswap-sqr_binary64
670×associate-*r*_binary64
614×associate-*l*_binary64
438×times-frac_binary64
320×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
098720
1279610
2979595
35713583
47394583
Stop Event
1×node limit
Counts
260 → 248
Calls
Call 1
Inputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))))
(+.f64 (*.f64 -1/24 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))))
(*.f64 1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))
(+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(*.f64 -2/3 (/.f64 b a))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 -1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (*.f64 1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (+.f64 (*.f64 -1/48 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (*.f64 1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
Outputs
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -3))
(*.f64 (sqrt.f64 -3) (*.f64 1/3 (sqrt.f64 (/.f64 c a))))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -3)))
(fma.f64 -1/3 (/.f64 b a) (*.f64 (sqrt.f64 -3) (*.f64 1/3 (sqrt.f64 (/.f64 c a)))))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (*.f64 (/.f64 -1/3 a) b))
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/6 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (*.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/3 (/.f64 b a) (*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -3))))
(fma.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 -1/3 (/.f64 b a) (*.f64 (sqrt.f64 -3) (*.f64 1/3 (sqrt.f64 (/.f64 c a))))))
(fma.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)) (fma.f64 -1/3 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 1/6 (/.f64 (*.f64 b b) (sqrt.f64 -3))))))
(+.f64 (*.f64 -1/24 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))))
(fma.f64 -1/24 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 1/6 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (*.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/3 (/.f64 b a) (*.f64 (*.f64 1/3 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -3)))))
(fma.f64 -1/24 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (/.f64 (/.f64 (pow.f64 b 4) -3) (sqrt.f64 -3))) (fma.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (*.f64 c (pow.f64 a 3)))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 -1/3 (/.f64 b a) (*.f64 (sqrt.f64 -3) (*.f64 1/3 (sqrt.f64 (/.f64 c a)))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (*.f64 (/.f64 -1/3 a) b)) (fma.f64 1/6 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (*.f64 b b) (sqrt.f64 -3))) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) 1/72)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (*.f64 (/.f64 -1/3 a) b)) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 -3)) (+.f64 (*.f64 1/6 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (*.f64 (/.f64 (*.f64 b b) -3) (*.f64 -1/24 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))))))))
(*.f64 1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b))
(*.f64 1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))))
(/.f64 (*.f64 -1/2 c) b)
(*.f64 (/.f64 c b) -1/2)
(+.f64 (*.f64 1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))
(fma.f64 1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (*.f64 -1/24 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3))))
(fma.f64 -1/24 (/.f64 (*.f64 a 9) (/.f64 (pow.f64 b 3) (*.f64 c c))) (/.f64 (*.f64 -1/2 c) b))
(+.f64 (*.f64 (/.f64 c b) -1/2) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 -3/8 a)))
(+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(fma.f64 1/48 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (*.f64 -1/24 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3)))))
(fma.f64 1/48 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -27))) (fma.f64 -1/24 (/.f64 (*.f64 a 9) (/.f64 (pow.f64 b 3) (*.f64 c c))) (/.f64 (*.f64 -1/2 c) b)))
(+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 -3/8 a)) (+.f64 (*.f64 (/.f64 c b) -1/2) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -9/16 (*.f64 a a)))))
(+.f64 (*.f64 1/48 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 1/16 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -3) 8)))) (pow.f64 (*.f64 -1/8 (*.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 4)))) 2)) (*.f64 a (pow.f64 b 7)))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (*.f64 -1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(fma.f64 1/48 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 -1/6 (/.f64 (fma.f64 1/16 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -3) 8)) (pow.f64 (*.f64 (*.f64 -1/8 (*.f64 c c)) (*.f64 (pow.f64 (sqrt.f64 -3) 4) (*.f64 a a))) 2)) (*.f64 a (pow.f64 b 7))) (fma.f64 1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (*.f64 -1/24 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3))))))
(fma.f64 1/48 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -27))) (fma.f64 -1/6 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/16) (pow.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 a a)) -9/8) 2)) (*.f64 a (pow.f64 b 7))) (fma.f64 -1/24 (/.f64 (*.f64 a 9) (/.f64 (pow.f64 b 3) (*.f64 c c))) (/.f64 (*.f64 -1/2 c) b))))
(+.f64 (+.f64 (*.f64 (/.f64 c b) -1/2) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 -3/8 a))) (fma.f64 -1/6 (/.f64 (*.f64 (*.f64 (pow.f64 a 4) 81) (+.f64 (*.f64 1/16 (pow.f64 c 4)) (*.f64 (pow.f64 c 4) 1/64))) (*.f64 a (pow.f64 b 7))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -9/16 (*.f64 a a)))))
(+.f64 (+.f64 (*.f64 (/.f64 c b) -1/2) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 -3/8 a))) (fma.f64 -1/6 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (*.f64 a (pow.f64 b 7))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -9/16 (*.f64 a a)))))
(+.f64 (+.f64 (*.f64 (/.f64 c b) -1/2) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 -3/8 a))) (fma.f64 -1/6 (/.f64 (*.f64 (pow.f64 a 4) (*.f64 (pow.f64 c 4) 405/64)) (*.f64 a (pow.f64 b 7))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -9/16 (*.f64 a a)))))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 b a) -2/3)
(/.f64 -2/3 (/.f64 a b))
(*.f64 (/.f64 -2/3 a) b)
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 -1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) -1/6))
(fma.f64 (/.f64 b a) -2/3 (/.f64 (*.f64 1/2 c) b))
(fma.f64 (/.f64 b a) -2/3 (*.f64 (/.f64 c b) 1/2))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (*.f64 1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3)))))
(fma.f64 -2/3 (/.f64 b a) (fma.f64 -1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3)) 1/24)))
(fma.f64 (/.f64 b a) -2/3 (fma.f64 (/.f64 (*.f64 a 9) (/.f64 (pow.f64 b 3) (*.f64 c c))) 1/24 (/.f64 (*.f64 1/2 c) b)))
(+.f64 (*.f64 (/.f64 c b) 1/2) (fma.f64 (/.f64 b a) -2/3 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 3/8 a))))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (+.f64 (*.f64 -1/48 (/.f64 (*.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -3) 6))) (pow.f64 b 5))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -3) 2)) b)) (*.f64 1/24 (/.f64 (*.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -3) 4))) (pow.f64 b 3))))))
(fma.f64 -2/3 (/.f64 b a) (fma.f64 -1/48 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -3) 6)))) (fma.f64 -1/6 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -3) 2))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (pow.f64 (sqrt.f64 -3) 4)) (pow.f64 b 3)) 1/24))))
(fma.f64 (/.f64 b a) -2/3 (fma.f64 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a (*.f64 a -27))) -1/48 (fma.f64 (/.f64 (*.f64 a 9) (/.f64 (pow.f64 b 3) (*.f64 c c))) 1/24 (/.f64 (*.f64 1/2 c) b))))
(+.f64 (*.f64 (/.f64 c b) 1/2) (+.f64 (fma.f64 (/.f64 b a) -2/3 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 3/8 a))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 9/16 (*.f64 a a)))))
(+.f64 (+.f64 (*.f64 (/.f64 c b) 1/2) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 9/16 (*.f64 a a)))) (fma.f64 (/.f64 b a) -2/3 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 3/8 a))))
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)
(*.f64 -1/3 (/.f64 b a))
(*.f64 (/.f64 -1/3 a) b)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 -1/3 (/.f64 b a))
Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

6 calls:

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

rewrite58.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
653×pow1_binary64
607×add-log-exp_binary64
607×log1p-expm1-u_binary64
607×expm1-log1p-u_binary64
595×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11277
216117
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 -1/3 (/.f64 b a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/3 (/.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 -1/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 b) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -1/3 b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/3 b) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/3 b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/3 b) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) -1/3) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (neg.f64 b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 (/.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/3 (/.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/3 (/.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/3 (/.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 (/.f64 b a))))))))

simplify8.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
20 → 20
Calls
Call 1
Inputs
Outputs

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 a (*.f64 -2/3 b))
0.4b
(*.f64 -2/3 b)
✓0.8b
(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
Compiler

Compiled 22 to 15 computations (31.8% saved)

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
a
@0
(/.f64 a (*.f64 -2/3 b))
1.0ms
b
@0
(/.f64 a (*.f64 -2/3 b))
1.0ms
a
@-inf
(/.f64 a (*.f64 -2/3 b))
0.0ms
a
@inf
(/.f64 a (*.f64 -2/3 b))
0.0ms
b
@inf
(/.f64 a (*.f64 -2/3 b))

rewrite61.0ms (0.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
116814
2214614
Stop Event
1×node limit
Counts
2 → 83
Calls
Call 1
Inputs
(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
(/.f64 a (*.f64 -2/3 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2/3 (/.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2/3 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/3 (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2/3 b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2/3 (/.f64 b a))) (pow.f64 (cbrt.f64 (*.f64 -2/3 (/.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -2/3 (/.f64 b a))) 2) (cbrt.f64 (*.f64 -2/3 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -2/3 (/.f64 b a))) (sqrt.f64 (*.f64 -2/3 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 (neg.f64 a) (/.f64 -3/2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2/3 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 -2/3 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (pow.f64 (/.f64 -3/2 b) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 a -3/2) b)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (*.f64 a -3/2) b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 a -3/2) b)) -1) (pow.f64 (sqrt.f64 (/.f64 (*.f64 a -3/2) b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b 1) (/.f64 -2/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -2/3 b)) 2) 1) (/.f64 (cbrt.f64 (*.f64 -2/3 b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -2/3 b)) 1) (/.f64 (sqrt.f64 (*.f64 -2/3 b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (*.f64 -2/3 b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2/3 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (pow.f64 (cbrt.f64 a) 2)) (/.f64 -2/3 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -2/3 b)) 2) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (cbrt.f64 (*.f64 -2/3 b)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -2/3 b)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (*.f64 -2/3 b)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (*.f64 -2/3 b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2/3 (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (sqrt.f64 a)) (/.f64 -2/3 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 -2/3 b)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (*.f64 -2/3 b)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 -2/3 b)) (sqrt.f64 a)) (/.f64 (sqrt.f64 (*.f64 -2/3 b)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 a)) (*.f64 b 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 a -3/2)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) 1) (*.f64 -2/3 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) -2/3) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) b) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) (pow.f64 (cbrt.f64 (*.f64 -2/3 b)) 2)) (cbrt.f64 (*.f64 -2/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 a) (sqrt.f64 (*.f64 -2/3 b))) (sqrt.f64 (*.f64 -2/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a -3/2) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2/3 (/.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2/3 (/.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2/3 (/.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/3 (/.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 a -3/2) b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -2/3 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2/3 (/.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 -2/3 b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2/3 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2/3 (/.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2/3 (/.f64 b a))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 a -3/2) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 a -3/2) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 -3/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a -3/2) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (/.f64 -3/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a -3/2) b)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 a -3/2) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 a -3/2) b)) 2) (cbrt.f64 (/.f64 (*.f64 a -3/2) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 -3/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 a -3/2) b)) (sqrt.f64 (/.f64 (*.f64 a -3/2) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (/.f64 1 (*.f64 b 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -3/2 b) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a -3/2) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (*.f64 -2/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (*.f64 -2/3 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3/2 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) -2/3) (/.f64 (cbrt.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) -2/3) (/.f64 (sqrt.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) b) (/.f64 (sqrt.f64 a) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (*.f64 a -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) b) (/.f64 (cbrt.f64 a) -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 -2/3 b)) 2)) (/.f64 a (cbrt.f64 (*.f64 -2/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (*.f64 -2/3 b)) 2)) (cbrt.f64 (/.f64 (*.f64 a -3/2) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (*.f64 -2/3 b)) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (*.f64 -2/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 -2/3 b))) (/.f64 a (sqrt.f64 (*.f64 -2/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (*.f64 -2/3 b))) (/.f64 (cbrt.f64 a) (sqrt.f64 (*.f64 -2/3 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a -3/2) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 a -3/2) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 a -3/2) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 a -3/2) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2/3 (/.f64 b a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (*.f64 b 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 a -3/2) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 -3/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 a -3/2) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (*.f64 -2/3 b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 a -3/2) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 a -3/2) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 a -3/2) b)))))))

simplify17.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
09336
115336
221336
329336
431336
Stop Event
1×saturated
Counts
131 → 84
Calls
Call 1
Inputs
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 -3/2 (/.f64 a b))
Outputs
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))
(*.f64 -3/2 (/.f64 a b))
(*.f64 a (/.f64 -3/2 b))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (-.f64 (sqrt.f64 (*.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
✓0.2b
(*.f64 -3 (*.f64 c a))
✓0.3b
(/.f64 1/3 a)
✓12.1b
(sqrt.f64 (*.f64 -3 (*.f64 c a)))
Compiler

Compiled 45 to 24 computations (46.7% saved)

series9.0ms (0%)

Counts
4 → 14
Calls

24 calls:

TimeVariablePointExpression
1.0ms
a
@inf
(*.f64 (-.f64 (sqrt.f64 (*.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
0.0ms
c
@0
(sqrt.f64 (*.f64 -3 (*.f64 c a)))
0.0ms
a
@0
(/.f64 1/3 a)
0.0ms
c
@inf
(sqrt.f64 (*.f64 -3 (*.f64 c a)))
0.0ms
c
@-inf
(sqrt.f64 (*.f64 -3 (*.f64 c a)))

rewrite94.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
756×prod-diff_binary64
643×log-prod_binary64
364×fma-def_binary64
234×pow1/3_binary64
232×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01238
126338
2345238
Stop Event
1×node limit
Counts
4 → 123
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 -3 (*.f64 c a)))
(/.f64 1/3 a)
(*.f64 -3 (*.f64 c a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 a (*.f64 -3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 a (*.f64 -3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))) (cbrt.f64 (*.f64 a (*.f64 -3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (*.f64 -3 c))) (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -3) (sqrt.f64 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 1/4) (pow.f64 (*.f64 a (*.f64 -3 c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 -3 c))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 a (*.f64 -3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -3 c)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 a (*.f64 -3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 -3 c))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 -3 c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -3 c) 1/2) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 -3 c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 -3 c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 a))) (cbrt.f64 (exp.f64 (/.f64 1/3 a))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 a)) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) (cbrt.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 a)) (sqrt.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 a)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (*.f64 -3 c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) a) -3)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) a) -3)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 c) a) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 c) a) -3))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 c) a) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 -3 c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 -3 c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 -3 c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 c) a) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 -3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 -3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 -3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 -3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 -3 c))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) (/.f64 1/3 a)) (*.f64 (neg.f64 b) (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 a) (sqrt.f64 (*.f64 a (*.f64 -3 c)))) (*.f64 (/.f64 1/3 a) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 a)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 a)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 a)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 a)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1/3 a)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 1/3 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 3/2) (pow.f64 b 3)) (*.f64 (*.f64 a 3) (fma.f64 b (+.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a (*.f64 -3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a (*.f64 -3 c)) (*.f64 b b)) (*.f64 (*.f64 a 3) (+.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/3 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (-.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 3/2) (pow.f64 b 3))) (*.f64 a (fma.f64 b (+.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a (*.f64 -3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (-.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 3/2) (pow.f64 b 3))) (*.f64 (neg.f64 a) (fma.f64 b (+.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a (*.f64 -3 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (-.f64 (*.f64 a (*.f64 -3 c)) (*.f64 b b))) (*.f64 a (+.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (-.f64 (*.f64 a (*.f64 -3 c)) (*.f64 b b))) (*.f64 (neg.f64 a) (+.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 3/2) (pow.f64 b 3)) 1/3) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a (*.f64 -3 c))) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 a (*.f64 -3 c)) (*.f64 b b)) 1/3) (*.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 3/2) (pow.f64 b 3)) 1) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a (*.f64 -3 c))) (*.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 a (*.f64 -3 c)) (*.f64 b b)) 1) (*.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 3/2) (pow.f64 b 3)) -1/3) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a (*.f64 -3 c))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 a (*.f64 -3 c)) (*.f64 b b)) -1/3) (*.f64 (+.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 3/2) (pow.f64 b 3)) (/.f64 1/3 a)) (fma.f64 b (+.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a (*.f64 -3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 a (*.f64 -3 c)) (*.f64 b b)) (/.f64 1/3 a)) (+.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/3 a) (-.f64 (pow.f64 (*.f64 a (*.f64 -3 c)) 3/2) (pow.f64 b 3))) (fma.f64 b (+.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a (*.f64 -3 c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/3 a) (-.f64 (*.f64 a (*.f64 -3 c)) (*.f64 b b))) (+.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) -1/3) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 1/3 a) 3) (pow.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 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(pow.f64 (/.f64 1/3 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/3 a) (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) (/.f64 1/3 a) (*.f64 (neg.f64 b) (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 a) (sqrt.f64 (*.f64 a (*.f64 -3 c))) (*.f64 (/.f64 1/3 a) (neg.f64 b)))))))

simplify20.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
10×fma-def_binary64
8×*-commutative_binary64
3×associate-*r*_binary64
3×associate-*l*_binary64
2×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015231
124231
239231
349231
451231
552231
Stop Event
1×saturated
Counts
137 → 129
Calls
Call 1
Inputs
(*.f64 -1/3 (/.f64 b a))
(*.f64 -1/3 (/.f64 b a))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 -1/3 (/.f64 b a))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(*.f64 -1/3 (/.f64 b a))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
Outputs
(*.f64 -1/3 (/.f64 b a))
(/.f64 b (/.f64 a -1/3))
(*.f64 -1/3 (/.f64 b a))
(/.f64 b (/.f64 a -1/3))
(*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -3) 1/3))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -3) 1/3)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (/.f64 b (/.f64 a -1/3)))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -3) 1/3)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (/.f64 b (/.f64 a -1/3)))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -3) 1/3)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (/.f64 b (/.f64 a -1/3)))
(*.f64 -1/3 (/.f64 b a))
(/.f64 b (/.f64 a -1/3))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -3) 1/3)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (/.f64 b (/.f64 a -1/3)))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -3) 1/3)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (/.f64 b (/.f64 a -1/3)))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -3) 1/3)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (/.f64 b (/.f64 a -1/3)))
(*.f64 -1/3 (/.f64 b a))
(/.f64 b (/.f64 a -1/3))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -3) 1/3)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (/.f64 b (/.f64 a -1/3)))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -3) 1/3)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (/.f64 b (/.f64 a -1/3)))
(+.f64 (*.f64 -1/3 (/.f64 b a)) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(fma.f64 -1/3 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -3) 1/3)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 1/3 (sqrt.f64 -3)) (/.f64 b (/.f64 a -1/3)))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -1/2 (/.f64 c b))
✓0.5b
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 3)
✓15.2b
(cbrt.f64 (*.f64 -1/2 (/.f64 c b)))
Compiler

Compiled 29 to 16 computations (44.8% saved)

series19.0ms (0.1%)

Counts
2 → 0
Calls

12 calls:

TimeVariablePointExpression
8.0ms
c
@0
(cbrt.f64 (*.f64 -1/2 (/.f64 c b)))
2.0ms
c
@-inf
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 3)
1.0ms
c
@0
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 3)
1.0ms
b
@inf
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 3)
1.0ms
c
@inf
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 3)

rewrite62.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
830×pow1_binary64
781×add-log-exp_binary64
781×log1p-expm1-u_binary64
781×expm1-log1p-u_binary64
764×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
119616
2213516
Stop Event
1×node limit
Counts
2 → 63
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 -1/2 (/.f64 c b)))
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 -1/2 (/.f64 c b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 c b)) (cbrt.f64 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/2) (cbrt.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b)) 1/6) (pow.f64 (*.f64 -1/2 (/.f64 c b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 -1/2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c b))) 1/3) (pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c b))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 -1/2 c)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (/.f64 c b)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 (/.f64 1 b) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c b) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (/.f64 c b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/2 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 2) (cbrt.f64 (*.f64 -1/2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 c b)) 2) (*.f64 (cbrt.f64 (/.f64 c b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 (/.f64 c b)) (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b)))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 c b)) (*.f64 (sqrt.f64 (/.f64 c b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 c b))) (sqrt.f64 (*.f64 -1/2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b)) 1/6) (*.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b)) 1/6) (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 c) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 -1/2) 3) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 2)) 3) (cbrt.f64 (*.f64 -1/2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (cbrt.f64 (*.f64 b b))) (/.f64 c (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sqrt.f64 b)) (/.f64 c (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 c b)) 2)) (cbrt.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 c b))) (sqrt.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 2) 1) (cbrt.f64 (*.f64 -1/2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 2) (cbrt.f64 -1/2)) (cbrt.f64 (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 2) (pow.f64 (*.f64 -1/2 (/.f64 c b)) 1/6)) (pow.f64 (*.f64 -1/2 (/.f64 c b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 b c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 -1/2 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 c) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -1/2 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) (cbrt.f64 (*.f64 b b))) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -1/2 c) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c) -1/2) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (neg.f64 c)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 c b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b))))))))

simplify8.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
63 → 63
Calls
Call 1
Inputs
Outputs

eval255.0ms (1.2%)

Compiler

Compiled 13546 to 9224 computations (31.9% saved)

prune148.0ms (0.7%)

Pruning

62 alts after pruning (54 fresh and 8 done)

PrunedKeptTotal
New61026636
Fresh142842
Picked011
Done6713
Total63062692
Error
0.1b
Counts
692 → 62
Alt Table
Click to see full alt table
StatusErrorProgram
✓43.1b
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 3)
54.0b
(/.f64 1 (/.f64 a (sqrt.f64 (*.f64 4/9 (*.f64 b b)))))
55.7b
(*.f64 1/2 (/.f64 c b))
✓32.5b
(-.f64 (/.f64 b (*.f64 a -3)) (/.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a -3)))
✓46.6b
(fma.f64 (*.f64 -2/3 b) (/.f64 1 a) (*.f64 1/2 (/.f64 c b)))
57.9b
(exp.f64 (log.f64 (*.f64 -2/3 (/.f64 b a))))
51.5b
(+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 -3/8 a)) (+.f64 (*.f64 (/.f64 c b) -1/2) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -9/16 (*.f64 a a)))))
42.1b
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a 3))
46.6b
(+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c)))
46.5b
(*.f64 (/.f64 1 (*.f64 a -3/2)) b)
42.9b
(*.f64 (*.f64 -1/2 c) (/.f64 1 b))
45.7b
(/.f64 (/.f64 (*.f64 (*.f64 c a) -1/2) b) a)
44.3b
(-.f64 (/.f64 b (*.f64 a -3)) (/.f64 (hypot.f64 (*.f64 (sqrt.f64 (*.f64 -3 c)) (sqrt.f64 a)) b) (*.f64 a -3)))
46.9b
(/.f64 (-.f64 (*.f64 a -3) (*.f64 (*.f64 -3 (/.f64 a b)) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -3 c)))))) (*.f64 (*.f64 -3 (/.f64 a b)) (*.f64 a -3)))
46.5b
(/.f64 -2/3 (/.f64 a b))
45.8b
(*.f64 (/.f64 -3/2 (/.f64 b (*.f64 c a))) (/.f64 1/3 a))
54.2b
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 c a) -3/2) b) (+.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 (*.f64 a a) -9/8)) (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -27/16) (pow.f64 b 5)))) 1/3) a)
✓42.8b
(*.f64 -1/2 (/.f64 c b))
51.0b
(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b))))
54.3b
(fma.f64 -9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (fma.f64 -1/2 (/.f64 c b) (fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c a))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (/.f64 a -1/6)) (pow.f64 b 7)))))
44.7b
(*.f64 (*.f64 -1/2 (*.f64 (*.f64 a -3) (/.f64 c b))) (/.f64 1 (*.f64 a -3)))
49.2b
(*.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 -3 c)) (sqrt.f64 a)) b) (/.f64 1/3 a))
33.1b
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 c (*.f64 a -3)) (*.f64 b b))) b) (/.f64 1/3 a))
59.3b
(/.f64 b (/.f64 a -1/3))
43.7b
(/.f64 (/.f64 (-.f64 b (hypot.f64 (*.f64 (sqrt.f64 (*.f64 -3 c)) (sqrt.f64 a)) b)) -3) a)
46.5b
(*.f64 (/.f64 b 3) (/.f64 -2 a))
59.0b
(sqrt.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9))
48.5b
(/.f64 1 (/.f64 a (exp.f64 (log.f64 (*.f64 -2/3 b)))))
46.7b
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (*.f64 a -3/2) b)) 3))
46.5b
(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
59.0b
(sqrt.f64 (pow.f64 (/.f64 (*.f64 a -3/2) b) -2))
55.4b
(*.f64 (-.f64 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) b) b) (/.f64 1/3 a))
42.1b
(*.f64 (-.f64 (sqrt.f64 (*.f64 -3 (*.f64 c a))) b) (*.f64 (/.f64 1 a) 1/3))
✓46.5b
(*.f64 -2/3 (/.f64 b a))
55.4b
(*.f64 (-.f64 b b) (/.f64 1/3 a))
43.7b
(/.f64 (/.f64 (*.f64 -1/2 c) (sqrt.f64 b)) (sqrt.f64 b))
50.0b
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c))) (*.f64 3 a))
46.9b
(*.f64 (fma.f64 (*.f64 (*.f64 a -3) (/.f64 c b)) 1/2 (*.f64 b 2)) (/.f64 1 (*.f64 a -3)))
48.2b
(*.f64 (+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (/.f64 1/3 a))
61.1b
(pow.f64 (pow.f64 (*.f64 -2/3 (/.f64 b a)) 3) 1/3)
42.1b
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
45.7b
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 c a) -3/2) b) 1/3) a)
✓42.0b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -3)))) (*.f64 3 a))
43.9b
(pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))))) 3)
43.2b
(/.f64 -1/2 (/.f64 b c))
✓42.1b
(*.f64 (-.f64 (sqrt.f64 (*.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
58.0b
(/.f64 1 (exp.f64 (log.f64 (/.f64 (*.f64 a -3/2) b))))
46.5b
(*.f64 (/.f64 -2/3 a) b)
55.7b
(*.f64 c (/.f64 1/2 b))
42.1b
(/.f64 (*.f64 1/3 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) a)
46.5b
(*.f64 b (/.f64 1 (/.f64 a -2/3)))
46.5b
(/.f64 1 (*.f64 -3/2 (/.f64 a b)))
46.5b
(/.f64 (*.f64 b -2/3) a)
46.3b
(/.f64 (-.f64 (*.f64 a (*.f64 -3 c)) (*.f64 b b)) (*.f64 (*.f64 a 3) (+.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)))
46.5b
(*.f64 (*.f64 (/.f64 1 a) b) -2/3)
44.1b
(/.f64 (/.f64 (-.f64 b (hypot.f64 (*.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c)) b)) -3) a)
44.7b
(/.f64 (*.f64 -3/2 (*.f64 a (/.f64 c b))) (*.f64 3 a))
54.8b
(+.f64 (+.f64 (*.f64 (/.f64 c b) -1/2) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 -3/8 a))) (fma.f64 -1/6 (/.f64 (*.f64 (pow.f64 a 4) (*.f64 (pow.f64 c 4) 405/64)) (*.f64 a (pow.f64 b 7))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -9/16 (*.f64 a a)))))
59.1b
(/.f64 1 (-.f64 (+.f64 1 (/.f64 (*.f64 a -3/2) b)) 1))
52.6b
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
46.5b
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -3/2 b) -1))
✓33.0b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
Compiler

Compiled 973 to 724 computations (25.6% saved)

regimes2.0s (9.4%)

Counts
105 → 3
Calls
Call 1
Inputs
(/.f64 b (/.f64 a -1/3))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 c (/.f64 1/2 b))
(/.f64 (*.f64 b -2/3) a)
(*.f64 -1/3 (/.f64 b a))
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 -1/2 (/.f64 b c))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(*.f64 -1/2 (/.f64 c b))
(/.f64 -1/2 (/.f64 b c))
(/.f64 (neg.f64 b) (*.f64 3 a))
(*.f64 (/.f64 1 (*.f64 a -3/2)) b)
(*.f64 (*.f64 -1/2 c) (/.f64 1 b))
(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
(/.f64 1 (*.f64 -3/2 (/.f64 a b)))
(*.f64 (*.f64 (/.f64 1 a) b) -2/3)
(/.f64 (/.f64 (*.f64 b 2) -3) a)
(*.f64 (/.f64 b 3) (/.f64 -2 a))
(*.f64 b (/.f64 1 (/.f64 a -2/3)))
(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
(/.f64 (*.f64 b -2) (*.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(*.f64 (/.f64 b 1) (/.f64 -2 (*.f64 3 a)))
(/.f64 (/.f64 (*.f64 (*.f64 c a) -1/2) b) a)
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(*.f64 (*.f64 b 2) (/.f64 1 (*.f64 a -3)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 (*.f64 a -3/2) b)) 1))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 c a) -3/2) b) 1/3) a)
(+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c)))
(/.f64 (*.f64 (/.f64 -3/2 b) (*.f64 c a)) (*.f64 3 a))
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (*.f64 3 a))
(*.f64 (/.f64 -3/2 (/.f64 b (*.f64 c a))) (/.f64 1/3 a))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(/.f64 (*.f64 -3/2 (*.f64 a (/.f64 c b))) (*.f64 3 a))
(*.f64 (*.f64 -1/2 (*.f64 (*.f64 a -3) (/.f64 c b))) (/.f64 1 (*.f64 a -3)))
(*.f64 (+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (/.f64 1/3 a))
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -3/2 b) -1))
(/.f64 1 (/.f64 a (sqrt.f64 (*.f64 4/9 (*.f64 b b)))))
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a 3))
(/.f64 (*.f64 1/3 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) a)
(fma.f64 (*.f64 -2/3 b) (/.f64 1 a) (*.f64 1/2 (/.f64 c b)))
(*.f64 (-.f64 (sqrt.f64 (*.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 -3 (*.f64 c a)))) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -3)))) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 -3 (*.f64 c a)))) (*.f64 3 a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 -3 (*.f64 c a))) b) (*.f64 (/.f64 1 a) 1/3))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (*.f64 a (*.f64 -3 c)) 1/2)) (*.f64 3 a))
(*.f64 (-.f64 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) b) b) (/.f64 1/3 a))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 c (*.f64 a -3)) (*.f64 b b))) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
(*.f64 (fma.f64 (*.f64 (*.f64 a -3) (/.f64 c b)) 1/2 (*.f64 b 2)) (/.f64 1 (*.f64 a -3)))
(/.f64 (-.f64 (*.f64 a (*.f64 -3 c)) (*.f64 b b)) (*.f64 (*.f64 a 3) (+.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)))
(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 c b))))
(exp.f64 (log.f64 (*.f64 -2/3 (/.f64 b a))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 a -3/2) b) -2))
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 3)
(pow.f64 (cbrt.f64 (*.f64 -2/3 (/.f64 b a))) 3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 b a) 2) 4/9))
(pow.f64 (cbrt.f64 (*.f64 -2/3 (/.f64 b a))) 3)
(/.f64 1 (/.f64 a (exp.f64 (log.f64 (*.f64 -2/3 b)))))
(pow.f64 (pow.f64 (*.f64 -2/3 (/.f64 b a)) 3) 1/3)
(/.f64 1 (exp.f64 (log.f64 (/.f64 (*.f64 a -3/2) b))))
(/.f64 (/.f64 (*.f64 -1/2 c) (sqrt.f64 b)) (sqrt.f64 b))
(pow.f64 (pow.f64 (*.f64 -2/3 (/.f64 b a)) 3) 1/3)
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (*.f64 a -3/2) b)) 3))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 -3 c)) (sqrt.f64 a)) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c))) (*.f64 3 a))
(/.f64 (/.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) -3) a)
(/.f64 (*.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b) 1/3) a)
(*.f64 1/3 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) a))
(neg.f64 (/.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a -3) c))) b) (*.f64 a -3)))
(neg.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) (*.f64 a -3)))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
(*.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) (/.f64 1 (*.f64 a -3)))
(*.f64 (/.f64 1 a) (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))) 1/3))
(-.f64 (/.f64 b (*.f64 a -3)) (/.f64 (hypot.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a -3)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 -1 (*.f64 a (*.f64 3 c)) (*.f64 b b)))) (*.f64 3 a))
(+.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) (/.f64 1/3 a)) (*.f64 (neg.f64 b) (/.f64 1/3 a)))
(/.f64 (-.f64 (*.f64 a -3) (*.f64 (*.f64 -3 (/.f64 a b)) (hypot.f64 b (sqrt.f64 (*.f64 a (*.f64 -3 c)))))) (*.f64 (*.f64 -3 (/.f64 a b)) (*.f64 a -3)))
(/.f64 (/.f64 (-.f64 b (hypot.f64 (*.f64 (sqrt.f64 (*.f64 -3 c)) (sqrt.f64 a)) b)) -3) a)
(/.f64 (/.f64 (-.f64 b (hypot.f64 (*.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c)) b)) -3) a)
(/.f64 (fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) 1/3 (*.f64 (neg.f64 b) 1/3)) a)
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c)))) 3)) (*.f64 3 a))
(pow.f64 (*.f64 3 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))) -1)
(*.f64 (-.f64 b (hypot.f64 b (*.f64 (sqrt.f64 (*.f64 a -3)) (sqrt.f64 c)))) (/.f64 1 (*.f64 a -3)))
(*.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (*.f64 a -3) (*.f64 b b)) 1/4) 2) b) (/.f64 1/3 a))
(-.f64 (/.f64 b (*.f64 a -3)) (/.f64 (hypot.f64 (*.f64 (sqrt.f64 (*.f64 -3 c)) (sqrt.f64 a)) b) (*.f64 a -3)))
(/.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 c (*.f64 a -3))) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))))) (*.f64 3 a))
(+.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 -3/8 a)) (+.f64 (*.f64 (/.f64 c b) -1/2) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -9/16 (*.f64 a a)))))
(/.f64 (exp.f64 (log.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 a -3) c))) b))) (*.f64 3 a))
(/.f64 (exp.f64 (log.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3))))))) (*.f64 3 a))
(*.f64 (exp.f64 (log.f64 (-.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -3)))) b))) (/.f64 1/3 a))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 a a))) -3/8) (pow.f64 b 3)) (+.f64 (/.f64 (*.f64 (*.f64 c a) -1/2) b) (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -9/16) (pow.f64 b 5)))) a)
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 c a) -3/2) b) (+.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (*.f64 (*.f64 a a) -9/8)) (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -27/16) (pow.f64 b 5)))) 1/3) a)
(fma.f64 -1/2 (/.f64 c b) (fma.f64 -3/8 (*.f64 a (/.f64 (*.f64 c c) (pow.f64 b 3))) (/.f64 -9/16 (/.f64 (pow.f64 b 5) (*.f64 a (*.f64 a (pow.f64 c 3)))))))
(pow.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 c b))))) 3)
(+.f64 (+.f64 (*.f64 (/.f64 c b) -1/2) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 -3/8 a))) (fma.f64 -1/6 (/.f64 (*.f64 (pow.f64 a 4) (*.f64 (pow.f64 c 4) 405/64)) (*.f64 a (pow.f64 b 7))) (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 -9/16 (*.f64 a a)))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 c a) -1/2) b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) -1/6 (+.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c a))) -3/8) (pow.f64 b 3)) (/.f64 (*.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -9/16) (pow.f64 b 5))))) a)
(fma.f64 -9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (fma.f64 -1/2 (/.f64 c b) (fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 c a))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (/.f64 a -1/6)) (pow.f64 b 7)))))
Outputs
(/.f64 1 (*.f64 -3/2 (/.f64 a b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
(*.f64 -1/2 (/.f64 c b))
Calls

6 calls:

477.0ms
(*.f64 3 a)
382.0ms
(*.f64 3 a)
327.0ms
a
257.0ms
b
234.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
Results
ErrorSegmentsBranch
20.7b5a
9.9b3b
23.9b2c
12.5b5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a))
20.7b5(*.f64 3 a)
20.7b5(*.f64 3 a)
Compiler

Compiled 1443 to 917 computations (36.5% saved)

bsearch257.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
187.0ms
8.460666844606442e-51
2.369097472719562e-44
67.0ms
-2.200309865438011e+136
-1.0137039548048517e+135
Compiler

Compiled 520 to 385 computations (26% saved)

regimes1.3s (6%)

Counts
55 → 3
Calls
Call 1
Inputs
(/.f64 b (/.f64 a -1/3))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 c (/.f64 1/2 b))
(/.f64 (*.f64 b -2/3) a)
(*.f64 -1/3 (/.f64 b a))
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 -1/2 (/.f64 b c))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(*.f64 -1/2 (/.f64 c b))
(/.f64 -1/2 (/.f64 b c))
(/.f64 (neg.f64 b) (*.f64 3 a))
(*.f64 (/.f64 1 (*.f64 a -3/2)) b)
(*.f64 (*.f64 -1/2 c) (/.f64 1 b))
(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
(/.f64 1 (*.f64 -3/2 (/.f64 a b)))
(*.f64 (*.f64 (/.f64 1 a) b) -2/3)
(/.f64 (/.f64 (*.f64 b 2) -3) a)
(*.f64 (/.f64 b 3) (/.f64 -2 a))
(*.f64 b (/.f64 1 (/.f64 a -2/3)))
(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
(/.f64 (*.f64 b -2) (*.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(*.f64 (/.f64 b 1) (/.f64 -2 (*.f64 3 a)))
(/.f64 (/.f64 (*.f64 (*.f64 c a) -1/2) b) a)
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(*.f64 (*.f64 b 2) (/.f64 1 (*.f64 a -3)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 (*.f64 a -3/2) b)) 1))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 c a) -3/2) b) 1/3) a)
(+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c)))
(/.f64 (*.f64 (/.f64 -3/2 b) (*.f64 c a)) (*.f64 3 a))
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (*.f64 3 a))
(*.f64 (/.f64 -3/2 (/.f64 b (*.f64 c a))) (/.f64 1/3 a))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(/.f64 (*.f64 -3/2 (*.f64 a (/.f64 c b))) (*.f64 3 a))
(*.f64 (*.f64 -1/2 (*.f64 (*.f64 a -3) (/.f64 c b))) (/.f64 1 (*.f64 a -3)))
(*.f64 (+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (/.f64 1/3 a))
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -3/2 b) -1))
(/.f64 1 (/.f64 a (sqrt.f64 (*.f64 4/9 (*.f64 b b)))))
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a 3))
(/.f64 (*.f64 1/3 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) a)
(fma.f64 (*.f64 -2/3 b) (/.f64 1 a) (*.f64 1/2 (/.f64 c b)))
(*.f64 (-.f64 (sqrt.f64 (*.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 -3 (*.f64 c a)))) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -3)))) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 -3 (*.f64 c a)))) (*.f64 3 a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 -3 (*.f64 c a))) b) (*.f64 (/.f64 1 a) 1/3))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (*.f64 a (*.f64 -3 c)) 1/2)) (*.f64 3 a))
(*.f64 (-.f64 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) b) b) (/.f64 1/3 a))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 c (*.f64 a -3)) (*.f64 b b))) b) (/.f64 1/3 a))
Outputs
(/.f64 1 (*.f64 -3/2 (/.f64 a b)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 c (*.f64 a -3)) (*.f64 b b))) b) (/.f64 1/3 a))
(*.f64 -1/2 (/.f64 c b))
Calls

5 calls:

358.0ms
c
333.0ms
(*.f64 3 a)
239.0ms
(*.f64 3 a)
164.0ms
a
146.0ms
b
Results
ErrorSegmentsBranch
30.4b5a
9.9b3b
30.8b5c
30.4b5(*.f64 3 a)
30.4b5(*.f64 3 a)
Compiler

Compiled 519 to 322 computations (38% saved)

bsearch221.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
153.0ms
8.460666844606442e-51
2.369097472719562e-44
67.0ms
-2.200309865438011e+136
-1.0137039548048517e+135
Compiler

Compiled 504 to 369 computations (26.8% saved)

regimes1.7s (7.9%)

Counts
54 → 3
Calls
Call 1
Inputs
(/.f64 b (/.f64 a -1/3))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 c (/.f64 1/2 b))
(/.f64 (*.f64 b -2/3) a)
(*.f64 -1/3 (/.f64 b a))
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 -1/2 (/.f64 b c))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(*.f64 -1/2 (/.f64 c b))
(/.f64 -1/2 (/.f64 b c))
(/.f64 (neg.f64 b) (*.f64 3 a))
(*.f64 (/.f64 1 (*.f64 a -3/2)) b)
(*.f64 (*.f64 -1/2 c) (/.f64 1 b))
(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
(/.f64 1 (*.f64 -3/2 (/.f64 a b)))
(*.f64 (*.f64 (/.f64 1 a) b) -2/3)
(/.f64 (/.f64 (*.f64 b 2) -3) a)
(*.f64 (/.f64 b 3) (/.f64 -2 a))
(*.f64 b (/.f64 1 (/.f64 a -2/3)))
(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
(/.f64 (*.f64 b -2) (*.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(*.f64 (/.f64 b 1) (/.f64 -2 (*.f64 3 a)))
(/.f64 (/.f64 (*.f64 (*.f64 c a) -1/2) b) a)
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(*.f64 (*.f64 b 2) (/.f64 1 (*.f64 a -3)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 (*.f64 a -3/2) b)) 1))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 c a) -3/2) b) 1/3) a)
(+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c)))
(/.f64 (*.f64 (/.f64 -3/2 b) (*.f64 c a)) (*.f64 3 a))
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (*.f64 3 a))
(*.f64 (/.f64 -3/2 (/.f64 b (*.f64 c a))) (/.f64 1/3 a))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(/.f64 (*.f64 -3/2 (*.f64 a (/.f64 c b))) (*.f64 3 a))
(*.f64 (*.f64 -1/2 (*.f64 (*.f64 a -3) (/.f64 c b))) (/.f64 1 (*.f64 a -3)))
(*.f64 (+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (/.f64 1/3 a))
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -3/2 b) -1))
(/.f64 1 (/.f64 a (sqrt.f64 (*.f64 4/9 (*.f64 b b)))))
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a 3))
(/.f64 (*.f64 1/3 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) a)
(fma.f64 (*.f64 -2/3 b) (/.f64 1 a) (*.f64 1/2 (/.f64 c b)))
(*.f64 (-.f64 (sqrt.f64 (*.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 -3 (*.f64 c a)))) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -3)))) (*.f64 3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 -3 (*.f64 c a)))) (*.f64 3 a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 -3 (*.f64 c a))) b) (*.f64 (/.f64 1 a) 1/3))
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (*.f64 a (*.f64 -3 c)) 1/2)) (*.f64 3 a))
(*.f64 (-.f64 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) b) b) (/.f64 1/3 a))
Outputs
(+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -3)))) (*.f64 3 a))
(*.f64 -1/2 (/.f64 c b))
Calls

5 calls:

535.0ms
c
364.0ms
a
300.0ms
(*.f64 3 a)
225.0ms
(*.f64 3 a)
210.0ms
b
Results
ErrorSegmentsBranch
34.9b8a
12.9b3b
33.6b9c
34.9b8(*.f64 3 a)
34.9b8(*.f64 3 a)
Compiler

Compiled 503 to 313 computations (37.8% saved)

bsearch319.0ms (1.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
175.0ms
8.460666844606442e-51
2.369097472719562e-44
143.0ms
-3.1525258159720097e-21
-7.806702158821398e-22
Compiler

Compiled 452 to 343 computations (24.1% saved)

regimes1.2s (5.7%)

Counts
49 → 3
Calls
Call 1
Inputs
(/.f64 b (/.f64 a -1/3))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 c (/.f64 1/2 b))
(/.f64 (*.f64 b -2/3) a)
(*.f64 -1/3 (/.f64 b a))
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 -1/2 (/.f64 b c))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(*.f64 -1/2 (/.f64 c b))
(/.f64 -1/2 (/.f64 b c))
(/.f64 (neg.f64 b) (*.f64 3 a))
(*.f64 (/.f64 1 (*.f64 a -3/2)) b)
(*.f64 (*.f64 -1/2 c) (/.f64 1 b))
(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
(/.f64 1 (*.f64 -3/2 (/.f64 a b)))
(*.f64 (*.f64 (/.f64 1 a) b) -2/3)
(/.f64 (/.f64 (*.f64 b 2) -3) a)
(*.f64 (/.f64 b 3) (/.f64 -2 a))
(*.f64 b (/.f64 1 (/.f64 a -2/3)))
(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
(/.f64 (*.f64 b -2) (*.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(*.f64 (/.f64 b 1) (/.f64 -2 (*.f64 3 a)))
(/.f64 (/.f64 (*.f64 (*.f64 c a) -1/2) b) a)
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(*.f64 (*.f64 b 2) (/.f64 1 (*.f64 a -3)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 (*.f64 a -3/2) b)) 1))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 c a) -3/2) b) 1/3) a)
(+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c)))
(/.f64 (*.f64 (/.f64 -3/2 b) (*.f64 c a)) (*.f64 3 a))
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (*.f64 3 a))
(*.f64 (/.f64 -3/2 (/.f64 b (*.f64 c a))) (/.f64 1/3 a))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(/.f64 (*.f64 -3/2 (*.f64 a (/.f64 c b))) (*.f64 3 a))
(*.f64 (*.f64 -1/2 (*.f64 (*.f64 a -3) (/.f64 c b))) (/.f64 1 (*.f64 a -3)))
(*.f64 (+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (/.f64 1/3 a))
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -3/2 b) -1))
(/.f64 1 (/.f64 a (sqrt.f64 (*.f64 4/9 (*.f64 b b)))))
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a 3))
(/.f64 (*.f64 1/3 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b)) a)
(fma.f64 (*.f64 -2/3 b) (/.f64 1 a) (*.f64 1/2 (/.f64 c b)))
(*.f64 (-.f64 (sqrt.f64 (*.f64 -3 (*.f64 c a))) b) (/.f64 1/3 a))
(*.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b) (/.f64 1/3 a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 -3 (*.f64 c a)))) (*.f64 3 a))
Outputs
(+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a 3))
(*.f64 -1/2 (/.f64 c b))
Calls

5 calls:

362.0ms
c
285.0ms
(*.f64 3 a)
237.0ms
(*.f64 3 a)
200.0ms
a
100.0ms
b
Results
ErrorSegmentsBranch
34.9b7a
13.0b3b
33.6b9c
34.9b7(*.f64 3 a)
34.9b7(*.f64 3 a)
Compiler

Compiled 435 to 274 computations (37% saved)

bsearch229.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
150.0ms
8.460666844606442e-51
2.369097472719562e-44
79.0ms
-3.1525258159720097e-21
-7.806702158821398e-22
Compiler

Compiled 437 to 328 computations (24.9% saved)

regimes461.0ms (2.2%)

Counts
43 → 2
Calls
Call 1
Inputs
(/.f64 b (/.f64 a -1/3))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 c (/.f64 1/2 b))
(/.f64 (*.f64 b -2/3) a)
(*.f64 -1/3 (/.f64 b a))
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 -1/2 (/.f64 b c))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(*.f64 -1/2 (/.f64 c b))
(/.f64 -1/2 (/.f64 b c))
(/.f64 (neg.f64 b) (*.f64 3 a))
(*.f64 (/.f64 1 (*.f64 a -3/2)) b)
(*.f64 (*.f64 -1/2 c) (/.f64 1 b))
(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
(/.f64 1 (*.f64 -3/2 (/.f64 a b)))
(*.f64 (*.f64 (/.f64 1 a) b) -2/3)
(/.f64 (/.f64 (*.f64 b 2) -3) a)
(*.f64 (/.f64 b 3) (/.f64 -2 a))
(*.f64 b (/.f64 1 (/.f64 a -2/3)))
(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
(/.f64 (*.f64 b -2) (*.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(*.f64 (/.f64 b 1) (/.f64 -2 (*.f64 3 a)))
(/.f64 (/.f64 (*.f64 (*.f64 c a) -1/2) b) a)
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(*.f64 (*.f64 b 2) (/.f64 1 (*.f64 a -3)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 (*.f64 a -3/2) b)) 1))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 c a) -3/2) b) 1/3) a)
(+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c)))
(/.f64 (*.f64 (/.f64 -3/2 b) (*.f64 c a)) (*.f64 3 a))
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 c a) b)) (*.f64 3 a))
(*.f64 (/.f64 -3/2 (/.f64 b (*.f64 c a))) (/.f64 1/3 a))
(+.f64 (*.f64 -2/3 (/.f64 b a)) (*.f64 1/2 (/.f64 c b)))
(/.f64 (*.f64 -3/2 (*.f64 a (/.f64 c b))) (*.f64 3 a))
(*.f64 (*.f64 -1/2 (*.f64 (*.f64 a -3) (/.f64 c b))) (/.f64 1 (*.f64 a -3)))
(*.f64 (+.f64 (*.f64 3/2 (/.f64 (*.f64 c a) b)) (*.f64 -2 b)) (/.f64 1/3 a))
(*.f64 (/.f64 1 a) (pow.f64 (/.f64 -3/2 b) -1))
(/.f64 1 (/.f64 a (sqrt.f64 (*.f64 4/9 (*.f64 b b)))))
Outputs
(+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c)))
(*.f64 -1/2 (/.f64 c b))
Calls

5 calls:

137.0ms
c
92.0ms
(*.f64 3 a)
83.0ms
a
81.0ms
(*.f64 3 a)
52.0ms
b
Results
ErrorSegmentsBranch
39.4b4a
26.7b2b
38.9b7c
39.4b4(*.f64 3 a)
39.4b4(*.f64 3 a)
Compiler

Compiled 362 to 229 computations (36.7% saved)

bsearch75.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
75.0ms
-8.525434410260229e-302
-2.0012323103815368e-302
Compiler

Compiled 170 to 127 computations (25.3% saved)

regimes466.0ms (2.2%)

Counts
33 → 2
Calls
Call 1
Inputs
(/.f64 b (/.f64 a -1/3))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 c (/.f64 1/2 b))
(/.f64 (*.f64 b -2/3) a)
(*.f64 -1/3 (/.f64 b a))
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 -1/2 (/.f64 b c))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(*.f64 -1/2 (/.f64 c b))
(/.f64 -1/2 (/.f64 b c))
(/.f64 (neg.f64 b) (*.f64 3 a))
(*.f64 (/.f64 1 (*.f64 a -3/2)) b)
(*.f64 (*.f64 -1/2 c) (/.f64 1 b))
(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
(/.f64 1 (*.f64 -3/2 (/.f64 a b)))
(*.f64 (*.f64 (/.f64 1 a) b) -2/3)
(/.f64 (/.f64 (*.f64 b 2) -3) a)
(*.f64 (/.f64 b 3) (/.f64 -2 a))
(*.f64 b (/.f64 1 (/.f64 a -2/3)))
(/.f64 1 (/.f64 a (*.f64 -2/3 b)))
(/.f64 (*.f64 b -2) (*.f64 3 a))
(*.f64 (-.f64 b b) (/.f64 1/3 a))
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(*.f64 (/.f64 b 1) (/.f64 -2 (*.f64 3 a)))
(/.f64 (/.f64 (*.f64 (*.f64 c a) -1/2) b) a)
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(*.f64 (*.f64 b 2) (/.f64 1 (*.f64 a -3)))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 (*.f64 a -3/2) b)) 1))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 c a) -3/2) b) 1/3) a)
Outputs
(/.f64 1 (*.f64 -3/2 (/.f64 a b)))
(*.f64 -1/2 (/.f64 c b))
Calls

5 calls:

147.0ms
c
97.0ms
(*.f64 3 a)
84.0ms
a
65.0ms
(*.f64 3 a)
64.0ms
b
Results
ErrorSegmentsBranch
39.4b4a
26.8b2b
38.9b7c
39.4b4(*.f64 3 a)
39.4b4(*.f64 3 a)
Compiler

Compiled 247 to 163 computations (34% saved)

bsearch188.0ms (0.9%)

Algorithm
1×binary-search
Steps
TimeLeftRight
188.0ms
2.0437083394495388e-237
1.2458399336600429e-232
Compiler

Compiled 186 to 147 computations (21% saved)

regimes280.0ms (1.3%)

Counts
18 → 2
Calls
Call 1
Inputs
(/.f64 b (/.f64 a -1/3))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 c (/.f64 1/2 b))
(/.f64 (*.f64 b -2/3) a)
(*.f64 -1/3 (/.f64 b a))
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 -1/2 (/.f64 b c))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(*.f64 -1/2 (/.f64 c b))
(/.f64 -1/2 (/.f64 b c))
(/.f64 (neg.f64 b) (*.f64 3 a))
(*.f64 (/.f64 1 (*.f64 a -3/2)) b)
(*.f64 (*.f64 -1/2 c) (/.f64 1 b))
(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
Outputs
(/.f64 1 (*.f64 (/.f64 -3/2 b) a))
(*.f64 -1/2 (/.f64 c b))
Calls

5 calls:

82.0ms
(*.f64 3 a)
71.0ms
(*.f64 3 a)
64.0ms
c
38.0ms
a
19.0ms
b
Results
ErrorSegmentsBranch
39.4b4a
26.8b2b
38.9b7c
39.4b4(*.f64 3 a)
39.4b4(*.f64 3 a)
Compiler

Compiled 124 to 79 computations (36.3% saved)

bsearch77.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
77.0ms
2.0437083394495388e-237
1.2458399336600429e-232
Compiler

Compiled 186 to 147 computations (21% saved)

regimes265.0ms (1.3%)

Counts
17 → 2
Calls
Call 1
Inputs
(/.f64 b (/.f64 a -1/3))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 c (/.f64 1/2 b))
(/.f64 (*.f64 b -2/3) a)
(*.f64 -1/3 (/.f64 b a))
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
(*.f64 -1/2 (/.f64 c b))
(/.f64 -1/2 (/.f64 b c))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -2/3 (/.f64 b a))
(*.f64 -1/2 (/.f64 c b))
(/.f64 -1/2 (/.f64 b c))
(/.f64 (neg.f64 b) (*.f64 3 a))
(*.f64 (/.f64 1 (*.f64 a -3/2)) b)
(*.f64 (*.f64 -1/2 c) (/.f64 1 b))
Outputs
(*.f64 (/.f64 -2/3 a) b)
(*.f64 -1/2 (/.f64 c b))
Calls

5 calls:

66.0ms
(*.f64 3 a)
58.0ms
c
41.0ms
(*.f64 3 a)
38.0ms
a
19.0ms
b
Results
ErrorSegmentsBranch
39.4b4a
26.8b2b
38.9b7c
39.4b4(*.f64 3 a)
39.4b4(*.f64 3 a)
Compiler

Compiled 117 to 74 computations (36.8% saved)

bsearch81.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
81.0ms
2.0437083394495388e-237
1.2458399336600429e-232
Compiler

Compiled 170 to 131 computations (22.9% saved)

regimes62.0ms (0.3%)

Counts
8 → 2
Calls
Call 1
Inputs
(/.f64 b (/.f64 a -1/3))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 c (/.f64 1/2 b))
(/.f64 (*.f64 b -2/3) a)
(*.f64 -1/3 (/.f64 b a))
(*.f64 1/2 (/.f64 c b))
(/.f64 (*.f64 -2/3 b) a)
(/.f64 -2/3 (/.f64 a b))
Outputs
(*.f64 (/.f64 -2/3 a) b)
(*.f64 c (/.f64 1/2 b))
Calls

3 calls:

39.0ms
c
15.0ms
b
5.0ms
a
Results
ErrorSegmentsBranch
46.5b1a
39.9b2b
45.0b3c
Compiler

Compiled 55 to 36 computations (34.5% saved)

bsearch1.0s (4.8%)

Algorithm
1×binary-search
Steps
TimeLeftRight
1.0s
8.953825269416419e+45
4.712047162711603e+56
Compiler

Compiled 206 to 159 computations (22.8% saved)

regimes25.0ms (0.1%)

Accuracy

Total -12.8b remaining (-27.5%)

Threshold costs -12.8b (-27.5%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 b (/.f64 a -1/3))
(*.f64 (/.f64 -2/3 a) b)
Outputs
(*.f64 (/.f64 -2/3 a) b)
Calls

3 calls:

8.0ms
a
7.0ms
c
7.0ms
b
Results
ErrorSegmentsBranch
46.5b1a
46.5b1b
46.5b1c
Compiler

Compiled 25 to 18 computations (28% saved)

simplify35.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
082345
1111341
2133341
3142341
4148341
5150341
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 b -1019999999999999932015973530173517027089129357968437268265122036595437892791851043407429796678423011992566110970592108859226801917919232) (/.f64 1 (*.f64 -3/2 (/.f64 a b))) (if (<=.f64 b 229159546670780448/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -1019999999999999932015973530173517027089129357968437268265122036595437892791851043407429796678423011992566110970592108859226801917919232) (/.f64 1 (*.f64 -3/2 (/.f64 a b))) (if (<=.f64 b 229159546670780448/26959946667150639794667015087019630673637144422540572481103610249216) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 c (*.f64 a -3)) (*.f64 b b))) b) (/.f64 1/3 a)) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -268823069867541376/340282366920938463463374607431768211456) (+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c))) (if (<=.f64 b 229159546670780448/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -3)))) (*.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -268823069867541376/340282366920938463463374607431768211456) (+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c))) (if (<=.f64 b 229159546670780448/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a 3)) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -15596487109404276/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c))) (*.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 6014169822879742/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (/.f64 1 (*.f64 -3/2 (/.f64 a b))) (*.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 6014169822879742/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (/.f64 1 (*.f64 (/.f64 -3/2 b) a)) (*.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 6014169822879742/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (*.f64 (/.f64 -2/3 a) b) (*.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 8999999999999999684728251277877311353552633856) (*.f64 (/.f64 -2/3 a) b) (*.f64 c (/.f64 1/2 b)))
(*.f64 (/.f64 -2/3 a) b)
(/.f64 b (/.f64 a -1/3))
Outputs
(if (<=.f64 b -1019999999999999932015973530173517027089129357968437268265122036595437892791851043407429796678423011992566110970592108859226801917919232) (/.f64 1 (*.f64 -3/2 (/.f64 a b))) (if (<=.f64 b 229159546670780448/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c)))) (*.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -1019999999999999932015973530173517027089129357968437268265122036595437892791851043407429796678423011992566110970592108859226801917919232) (/.f64 1 (*.f64 -3/2 (/.f64 a b))) (if (<=.f64 b 7161235833461889/842498333348457493583344221469363458551160763204392890034487820288) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a 3) c)))) (*.f64 a 3)) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -1019999999999999932015973530173517027089129357968437268265122036595437892791851043407429796678423011992566110970592108859226801917919232) (/.f64 1 (*.f64 -3/2 (/.f64 a b))) (if (<=.f64 b 7161235833461889/842498333348457493583344221469363458551160763204392890034487820288) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -3)))) b) (*.f64 a 3)) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -1019999999999999932015973530173517027089129357968437268265122036595437892791851043407429796678423011992566110970592108859226801917919232) (/.f64 1 (*.f64 -3/2 (/.f64 a b))) (if (<=.f64 b 229159546670780448/26959946667150639794667015087019630673637144422540572481103610249216) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 c (*.f64 a -3)) (*.f64 b b))) b) (/.f64 1/3 a)) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -1019999999999999932015973530173517027089129357968437268265122036595437892791851043407429796678423011992566110970592108859226801917919232) (/.f64 1 (*.f64 -3/2 (/.f64 a b))) (if (<=.f64 b 7161235833461889/842498333348457493583344221469363458551160763204392890034487820288) (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a)) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -268823069867541376/340282366920938463463374607431768211456) (+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c))) (if (<=.f64 b 229159546670780448/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -3)))) (*.f64 3 a)) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -2100180233340167/2658455991569831745807614120560689152) (+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c))) (if (<=.f64 b 7161235833461889/842498333348457493583344221469363458551160763204392890034487820288) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a -3)))) (*.f64 a 3)) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -2100180233340167/2658455991569831745807614120560689152) (+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c))) (if (<=.f64 b 7161235833461889/842498333348457493583344221469363458551160763204392890034487820288) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a -3))) b) (*.f64 a 3)) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -268823069867541376/340282366920938463463374607431768211456) (+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c))) (if (<=.f64 b 229159546670780448/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 -3 c))) b) (*.f64 a 3)) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -2100180233340167/2658455991569831745807614120560689152) (+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c))) (if (<=.f64 b 7161235833461889/842498333348457493583344221469363458551160763204392890034487820288) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c -3))) b) (*.f64 a 3)) (*.f64 -1/2 (/.f64 c b))))
(if (<=.f64 b -15596487109404276/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c))) (*.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b -3899121777351069/193025830561934107162947985381047541665608072055952185017491682078771915023799273387871154500424503798663213600460826789274033295999330021731389427128542432710187362934652673115221889249890533772697227171395058697282798274445240687006095271729621464100656563293799180557568945517759802372156455525060659659679134121984) (+.f64 (*.f64 -2/3 (/.f64 b a)) (/.f64 1/2 (/.f64 b c))) (*.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 6014169822879742/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (/.f64 1 (*.f64 -3/2 (/.f64 a b))) (*.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 3007084911439871/14319451959237480602209391966837419245360869586085326264720724851155532002676452079672642132912314187714679754609499860037198430378536688350222513020782289810256437153989606051133400630739489388122520004115872623737965276803368791807679393553237147648) (/.f64 1 (*.f64 -3/2 (/.f64 a b))) (*.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 6014169822879742/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (/.f64 1 (*.f64 (/.f64 -3/2 b) a)) (*.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 3007084911439871/14319451959237480602209391966837419245360869586085326264720724851155532002676452079672642132912314187714679754609499860037198430378536688350222513020782289810256437153989606051133400630739489388122520004115872623737965276803368791807679393553237147648) (/.f64 1 (*.f64 a (/.f64 -3/2 b))) (*.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 6014169822879742/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (*.f64 (/.f64 -2/3 a) b) (*.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 3007084911439871/14319451959237480602209391966837419245360869586085326264720724851155532002676452079672642132912314187714679754609499860037198430378536688350222513020782289810256437153989606051133400630739489388122520004115872623737965276803368791807679393553237147648) (*.f64 b (/.f64 -2/3 a)) (*.f64 -1/2 (/.f64 c b)))
(if (<=.f64 b 8999999999999999684728251277877311353552633856) (*.f64 (/.f64 -2/3 a) b) (*.f64 c (/.f64 1/2 b)))
(if (<=.f64 b 8999999999999999684728251277877311353552633856) (*.f64 b (/.f64 -2/3 a)) (*.f64 c (/.f64 1/2 b)))
(*.f64 (/.f64 -2/3 a) b)
(*.f64 b (/.f64 -2/3 a))
(/.f64 b (/.f64 a -1/3))
Compiler

Compiled 267 to 188 computations (29.6% saved)

soundness0.0ms (0%)

end226.0ms (1.1%)

Compiler

Compiled 237 to 144 computations (39.2% saved)

Profiling

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