Details

Time bar (total: 10.2s)

analyze645.0ms (6.3%)

Algorithm
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
12.5%68.6%18.9%6
18.7%62.4%18.9%7
18.7%59.3%22%8
28.1%39%32.9%9
32.8%34.3%32.9%10
32.8%32%35.3%11
38.2%20.7%41.1%12
41%17.9%41.1%13
41%16.6%42.5%14
Compiler

Compiled 41 to 24 computations (41.5% saved)

sample72.0ms (0.7%)

Algorithm
intervals
Results
54.0ms244×body256valid
4.0ms40×body128nan
1.0ms12×body128valid
Compiler

Compiled 84 to 50 computations (40.5% saved)

simplify213.0ms (2.1%)

Algorithm
egg-herbie
Rules
729×fma-neg_binary64
636×times-frac_binary64
620×div-sub_binary64
565×unsub-neg_binary64
481×sub-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02052
15450
214450
340648
482648
5152348
6191148
7263248
8258948
9297148
10362548
11419348
12437548
13448548
14453348
15455748
16460748
17488248
18484848

prune5.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
33.3b
Counts
3 → 2
Alt Table
StatusErrorProgram
33.3b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
33.3b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
Compiler

Compiled 219 to 116 computations (47% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
6.3b
(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a)))
8.3b
(cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2))
27.4b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
27.4b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))

rewrite20.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
11×cbrt-prod_binary64
11×add-sqr-sqrt_binary64
*-un-lft-identity_binary64
times-frac_binary64
add-cube-cbrt_binary64
Counts
3 → 51
Calls

3 calls:

6.0ms
(cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2))
6.0ms
(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a)))
3.0ms
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))

series1.4s (14%)

Counts
3 → 96
Calls

3 calls:

753.0ms
(cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2))
665.0ms
(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a)))
15.0ms
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))

simplify132.0ms (1.3%)

Algorithm
egg-herbie
Rules
502×times-frac_binary64
423×associate-*r*_binary64
289×associate-/r*_binary64
267×fma-def_binary64
264×associate-/l*_binary64
Counts
147 → 259
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04986730
114166517
250056517

prune602.0ms (5.9%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New31218330
Fresh011
Picked101
Done000
Total31319332
Error
28.8b
Counts
332 → 19
Alt Table
StatusErrorProgram
49.4b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (*.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) a))))))))
54.2b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g) (*.f64 2 a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
40.9b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) a) -1/2)))
31.3b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
49.6b
(+.f64 (*.f64 (exp.f64 (*.f64 1/3 (-.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 g 2) (pow.f64 h 2))) g)) (log.f64 a)))) (cbrt.f64 1/2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
39.9b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (*.f64 (fabs.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) a) -1/2)))
33.5b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2))) (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))) (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))))
31.5b
(+.f64 (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
51.6b
(+.f64 (*.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 1/3) (-.f64 (log.f64 (*.f64 -1/2 (/.f64 (*.f64 h h) a))) (log.f64 g)))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
46.7b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 (*.f64 (/.f64 2 a) g))))
33.3b
(+.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
46.8b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (*.f64 (cbrt.f64 1/2) (exp.f64 (*.f64 1/3 (+.f64 (log.f64 (+.f64 (sqrt.f64 (-.f64 (pow.f64 g 2) (pow.f64 h 2))) g)) (log.f64 (/.f64 -1 a)))))))
38.6b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (fabs.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))) g) (*.f64 2 a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
39.1b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))))
33.3b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
57.9b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 2 a)) (log.f64 g)))))
32.8b
(+.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
32.1b
(+.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) 2)) (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
31.5b
(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) (cbrt.f64 (*.f64 2 a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
Compiler

Compiled 15269 to 8278 computations (45.8% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
4.8b
(-.f64 (*.f64 g g) (*.f64 h h))
6.3b
(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a)))
27.4b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
27.4b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))

rewrite3.0ms (0%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64
cancel-sign-sub-inv_binary64
difference-of-squares_binary64
flip--_binary64
sub-neg_binary64
Counts
1 → 17
Calls

1 calls:

3.0ms
(-.f64 (*.f64 g g) (*.f64 h h))

series18.0ms (0.2%)

Counts
1 → 24
Calls

1 calls:

18.0ms
(-.f64 (*.f64 g g) (*.f64 h h))

simplify80.0ms (0.8%)

Algorithm
egg-herbie
Rules
794×distribute-rgt-in_binary64
735×distribute-lft-in_binary64
561×fma-def_binary64
168×fma-neg_binary64
164×unswap-sqr_binary64
Counts
41 → 72
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042480
1109434
2303428
31055428
44694428
54980428
64883428

prune728.0ms (7.1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New5896595
Fresh41418
Picked101
Done000
Total59420614
Error
28.3b
Counts
614 → 20
Alt Table
StatusErrorProgram
38.6b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (fabs.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))) g) (*.f64 2 a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
47.3b
(+.f64 (cbrt.f64 (/.f64 (-.f64 g g) (*.f64 2 a))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
43.2b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g g) -1/2)) (cbrt.f64 a)))
49.6b
(+.f64 (*.f64 (exp.f64 (*.f64 1/3 (-.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 g 2) (pow.f64 h 2))) g)) (log.f64 a)))) (cbrt.f64 1/2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
52.8b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g) (*.f64 2 a))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
48.0b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)))) -1/2)) (cbrt.f64 a)))
39.9b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (*.f64 (fabs.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) a) -1/2)))
33.5b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2))) (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))) (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))))
31.5b
(+.f64 (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
51.6b
(+.f64 (*.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 1/3) (-.f64 (log.f64 (*.f64 -1/2 (/.f64 (*.f64 h h) a))) (log.f64 g)))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
46.7b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 (*.f64 (/.f64 2 a) g))))
49.4b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (*.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) a))))))))
39.1b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))))
33.3b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
37.9b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (*.f64 (fabs.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) -1/2)) (cbrt.f64 a)))
38.8b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) -1/2)) (cbrt.f64 a)))
33.3b
(+.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
32.8b
(+.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
32.1b
(+.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) 2)) (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
31.5b
(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) (cbrt.f64 (*.f64 2 a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
Compiler

Compiled 12342 to 6331 computations (48.7% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
4.8b
(-.f64 (*.f64 g g) (*.f64 h h))
8.3b
(cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2))
27.4b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
27.4b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify26.0ms (0.3%)

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
100

prune788.0ms (7.7%)

Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New186251867
Fresh41519
Picked101
Done000
Total1867201887
Error
28.3b
Counts
1887 → 20
Alt Table
StatusErrorProgram
49.6b
(+.f64 (*.f64 (exp.f64 (*.f64 1/3 (-.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 g 2) (pow.f64 h 2))) g)) (log.f64 a)))) (cbrt.f64 1/2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
52.8b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g) (*.f64 2 a))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
48.0b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)))) -1/2)) (cbrt.f64 a)))
39.9b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (*.f64 (fabs.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) a) -1/2)))
33.5b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2))) (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))) (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))))
31.5b
(+.f64 (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
51.6b
(+.f64 (*.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 1/3) (-.f64 (log.f64 (*.f64 -1/2 (/.f64 (*.f64 h h) a))) (log.f64 g)))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
44.0b
(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) (cbrt.f64 (*.f64 2 a))) (log.f64 (exp.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a))))))
33.3b
(+.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
38.0b
(+.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))) g)) (cbrt.f64 (*.f64 2 a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
32.8b
(+.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
48.0b
(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) (cbrt.f64 (*.f64 2 a))) (*.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (*.f64 -1/2 (/.f64 (*.f64 h h) a))))))))
32.1b
(+.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) 2)) (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
41.3b
(+.f64 (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) g)) (cbrt.f64 (*.f64 2 a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
45.6b
(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) (cbrt.f64 (*.f64 2 a))) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 (*.f64 (/.f64 2 a) g))))
47.3b
(+.f64 (cbrt.f64 (/.f64 (-.f64 g g) (*.f64 2 a))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
39.1b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))))
33.3b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
37.9b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (*.f64 (fabs.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) -1/2)) (cbrt.f64 a)))
38.8b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) -1/2)) (cbrt.f64 a)))
Compiler

Compiled 12124 to 6208 computations (48.8% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
4.8b
(-.f64 (*.f64 g g) (*.f64 h h))
8.3b
(cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2))
27.4b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
27.4b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify78.0ms (0.8%)

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
100

prune822.0ms (8%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New713937142
Fresh31619
Picked101
Done000
Total7143197162
Error
28.3b
Counts
7162 → 19
Alt Table
StatusErrorProgram
49.6b
(+.f64 (*.f64 (exp.f64 (*.f64 1/3 (-.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (pow.f64 g 2) (pow.f64 h 2))) g)) (log.f64 a)))) (cbrt.f64 1/2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
52.8b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g) (*.f64 2 a))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
39.9b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (*.f64 (fabs.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) a) -1/2)))
33.5b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2))) (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))) (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))))
33.3b
(+.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
38.0b
(+.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))) g)) (cbrt.f64 (*.f64 2 a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
32.8b
(+.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
48.0b
(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) (cbrt.f64 (*.f64 2 a))) (*.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (*.f64 -1/2 (/.f64 (*.f64 h h) a))))))))
32.1b
(+.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) 2)) (cbrt.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
41.3b
(+.f64 (/.f64 (cbrt.f64 (-.f64 (neg.f64 g) g)) (cbrt.f64 (*.f64 2 a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
48.0b
(+.f64 (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (*.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) a))))))))
45.6b
(+.f64 (/.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) (cbrt.f64 (*.f64 2 a))) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 (*.f64 (/.f64 2 a) g))))
44.4b
(+.f64 (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (neg.f64 g)) a) -1/2)))
47.3b
(+.f64 (cbrt.f64 (/.f64 (-.f64 g g) (*.f64 2 a))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
39.1b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))))
33.3b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
51.6b
(+.f64 (*.f64 (cbrt.f64 1/2) (pow.f64 (exp.f64 1/3) (-.f64 (log.f64 (*.f64 -1/2 (/.f64 (*.f64 h h) a))) (log.f64 g)))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
38.8b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) -1/2)) (cbrt.f64 a)))
41.3b
(+.f64 (*.f64 (cbrt.f64 (-.f64 (neg.f64 g) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
Compiler

Compiled 11216 to 5734 computations (48.9% saved)

regimes1.8s (17.9%)

Accuracy

Total 0.9b remaining (2.9%)

Threshold costs 0.9b (2.9%)

Compiler

Compiled 48108 to 28859 computations (40% saved)

bsearch107.0ms (1%)

Steps
ItersRangePoint
10
-3.451980881078456e-182
-1.2990220707627282e-197
-2.893269831035563e-182
Compiler

Compiled 4 to 3 computations (25% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03696
15196
26296
36896
47196
57196

end1.0ms (0%)

Compiler

Compiled 65 to 37 computations (43.1% saved)

sample2.5s (24.9%)

Algorithm
intervals
Results
1.7s7525×body256valid
136.0ms1275×body128nan
54.0ms475×body128valid
Compiler

Compiled 903 to 504 computations (44.2% saved)

Profiling

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