Details

Time bar (total: 11.2s)

analyze663.0ms (5.9%)

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)

sample81.0ms (0.7%)

Algorithm
intervals
Results
57.0ms241×body256valid
6.0ms55×body128nan
2.0ms15×body128valid
Compiler

Compiled 84 to 50 computations (40.5% saved)

simplify206.0ms (1.8%)

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

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
39.8b
Counts
3 → 2
Alt Table
StatusErrorProgram
39.8b
(+.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)))
39.9b
(+.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)))))))
Compiler

Compiled 219 to 116 computations (47% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
8.7b
(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a)))
8.9b
(cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2))
33.2b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
33.2b
(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:

8.0ms
(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a)))
7.0ms
(cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2))
3.0ms
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))

series1.4s (12.7%)

Counts
3 → 96
Calls

3 calls:

738.0ms
(cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2))
663.0ms
(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a)))
16.0ms
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))

simplify121.0ms (1.1%)

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

prune654.0ms (5.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New31020330
Fresh101
Picked101
Done000
Total31220332
Error
35.4b
Counts
332 → 20
Alt Table
StatusErrorProgram
39.3b
(+.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)))
52.6b
(+.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)))))))
43.9b
(+.f64 (exp.f64 (log.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)))
51.9b
(+.f64 (*.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)))))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
44.0b
(+.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a)) 1/3) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
54.1b
(+.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)))
50.7b
(+.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 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g h)))) a) -1/2)))
39.9b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (*.f64 (cbrt.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a)) (cbrt.f64 -1/2)))
38.2b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
51.4b
(+.f64 (+.f64 (*.f64 1/12 (/.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (exp.f64 (*.f64 1/3 (+.f64 (log.f64 (/.f64 1 g)) (log.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) a)))))) (pow.f64 h 2))) (pow.f64 g 2))) (*.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)))))))) (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 (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))))
49.9b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 g (*.f64 1/2 (/.f64 (pow.f64 h 2) g))) g) (*.f64 2 a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
38.9b
(+.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)))
39.9b
(+.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))))) (cbrt.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)))
37.7b
(+.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)))
39.9b
(+.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a)))) (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)))
42.1b
(+.f64 (expm1.f64 (log1p.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)))
44.9b
(+.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)))
55.7b
(+.f64 (*.f64 (exp.f64 (*.f64 1/3 (-.f64 (log.f64 (/.f64 2 a)) (log.f64 (/.f64 -1 g))))) (cbrt.f64 1/2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
37.6b
(+.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)))
Compiler

Compiled 15465 to 8390 computations (45.7% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
5.0b
(-.f64 (*.f64 g g) (*.f64 h h))
8.9b
(cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2))
33.2b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
33.2b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))

rewrite5.0ms (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:

5.0ms
(-.f64 (*.f64 g g) (*.f64 h h))

series17.0ms (0.2%)

Counts
1 → 24
Calls

1 calls:

17.0ms
(-.f64 (*.f64 g g) (*.f64 h h))

simplify78.0ms (0.7%)

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

prune880.0ms (7.8%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New5845589
Fresh51419
Picked101
Done000
Total59019609
Error
34.8b
Counts
609 → 19
Alt Table
StatusErrorProgram
39.3b
(+.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)))
50.0b
(+.f64 (*.f64 (cbrt.f64 (-.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)))
44.0b
(+.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a)) 1/3) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
54.1b
(+.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)))
50.7b
(+.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 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g h)))) a) -1/2)))
39.9b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (*.f64 (cbrt.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a)) (cbrt.f64 -1/2)))
50.0b
(+.f64 (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (log.f64 (exp.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a))))))
38.2b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
51.4b
(+.f64 (+.f64 (*.f64 1/12 (/.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (exp.f64 (*.f64 1/3 (+.f64 (log.f64 (/.f64 1 g)) (log.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) a)))))) (pow.f64 h 2))) (pow.f64 g 2))) (*.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)))))))) (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 (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))))
47.0b
(+.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)))
42.5b
(+.f64 (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (expm1.f64 (log1p.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)))
38.9b
(+.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)))
39.9b
(+.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))))) (cbrt.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)))
39.9b
(+.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a)))) (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)))
43.9b
(+.f64 (exp.f64 (log.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)))
42.1b
(+.f64 (expm1.f64 (log1p.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)))
44.9b
(+.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)))
43.6b
(+.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 1/2 a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
Compiler

Compiled 12156 to 6196 computations (49% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
5.0b
(-.f64 (*.f64 g g) (*.f64 h h))
8.7b
(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a)))
33.2b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
33.2b
(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

simplify37.0ms (0.3%)

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
100

prune849.0ms (7.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New187121873
Fresh21618
Picked101
Done000
Total1874181892
Error
34.8b
Counts
1892 → 18
Alt Table
StatusErrorProgram
39.3b
(+.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)))
50.0b
(+.f64 (*.f64 (cbrt.f64 (-.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)))
44.0b
(+.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a)) 1/3) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
54.1b
(+.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)))
42.1b
(+.f64 (expm1.f64 (log1p.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)))
45.1b
(+.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)))
50.7b
(+.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 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g h)))) a) -1/2)))
39.9b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (*.f64 (cbrt.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a)) (cbrt.f64 -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 (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))))
47.0b
(+.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)))
42.5b
(+.f64 (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (expm1.f64 (log1p.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)))
38.9b
(+.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)))
39.9b
(+.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))))) (cbrt.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)))
39.9b
(+.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a)))) (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)))
43.9b
(+.f64 (exp.f64 (log.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)))
44.9b
(+.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)))
51.4b
(+.f64 (+.f64 (*.f64 1/12 (/.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (exp.f64 (*.f64 1/3 (+.f64 (log.f64 (/.f64 1 g)) (log.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) a)))))) (pow.f64 h 2))) (pow.f64 g 2))) (*.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)))))))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
48.4b
(+.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)))
Compiler

Compiled 12262 to 6277 computations (48.8% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
33.2b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
33.2b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
33.2b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
33.2b
(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

simplify415.0ms (3.7%)

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
100

prune1.3s (12%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New34079134080
Fresh11617
Picked011
Done000
Total340801834098
Error
34.8b
Counts
34098 → 18
Alt Table
StatusErrorProgram
39.3b
(+.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)))
50.0b
(+.f64 (*.f64 (cbrt.f64 (-.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)))
44.0b
(+.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a)) 1/3) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
50.7b
(+.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 (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g)) a))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
42.1b
(+.f64 (expm1.f64 (log1p.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)))
45.1b
(+.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)))
50.7b
(+.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 (sqrt.f64 (+.f64 h g)) (sqrt.f64 (-.f64 g h)))) a) -1/2)))
39.9b
(+.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (*.f64 (cbrt.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a)) (cbrt.f64 -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 (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))))
47.0b
(+.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)))
42.5b
(+.f64 (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (expm1.f64 (log1p.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)))
38.9b
(+.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)))
39.9b
(+.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))))) (cbrt.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)))
39.9b
(+.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a))) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g) (*.f64 2 a)))) (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)))
43.9b
(+.f64 (exp.f64 (log.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)))
44.9b
(+.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)))
51.4b
(+.f64 (+.f64 (*.f64 1/12 (/.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (exp.f64 (*.f64 1/3 (+.f64 (log.f64 (/.f64 1 g)) (log.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) a)))))) (pow.f64 h 2))) (pow.f64 g 2))) (*.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)))))))) (cbrt.f64 (*.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) a) -1/2)))
48.4b
(+.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)))
Compiler

Compiled 17328 to 5481 computations (68.4% saved)

regimes1.6s (14.2%)

Accuracy

Total 1.2b remaining (3.6%)

Threshold costs 0b (0%)

Compiler

Compiled 44461 to 26304 computations (40.8% saved)

bsearch10.0ms (0.1%)

Compiler

Compiled 40 to 23 computations (42.5% saved)

simplify12.0ms (0.1%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
055265
180265
291265
3105265
4114261
5121261
6124261
7125261
8123261

end2.0ms (0%)

Compiler

Compiled 170 to 73 computations (57.1% saved)

sample2.7s (24.2%)

Algorithm
intervals
Results
1.8s7534×body256valid
142.0ms1231×body128nan
65.0ms466×body128valid
Compiler

Compiled 1035 to 533 computations (48.5% saved)

Profiling

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