Details

Time bar (total: 12.6s)

analyze579.0ms (4.6%)

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
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)

sample2.9s (23.2%)

Results
2.6s7760×body256valid
202.0ms1222×body128invalid
93.0ms496×body128valid
Compiler

Compiled 122 to 71 computations (41.8% saved)

simplify30.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
725×fma-neg_binary64
355×fma-def_binary64
203×distribute-rgt-in_binary64
194×associate-/l*_binary64
192×div-sub_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02052
15450
215450
347848
4127948
5258148
6382348
Stop Event
1×node limit
Counts
1 → 2

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
35.3b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶35.3b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
Compiler

Compiled 139 to 70 computations (49.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓3.6b
(-.f64 (*.f64 g g) (*.f64 h h))
✓5.3b
(cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)))
✓8.8b
(cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
✓30.0b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))

series1.1s (8.9%)

Counts
4 → 120
Calls

4 calls:

575.0ms
(cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
523.0ms
(cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)))
11.0ms
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
6.0ms
(-.f64 (*.f64 g g) (*.f64 h h))

rewrite49.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
196×add-sqr-sqrt_binary64
189×add-cbrt-cube_binary64
189×log1p-expm1-u_binary64
189×expm1-log1p-u_binary64
185×add-cube-cbrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01868
140868
Stop Event
1×node limit
Counts
4 → 115
Calls

4 calls:

47.0ms
(-.f64 (*.f64 g g) (*.f64 h h))
47.0ms
(cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)))
47.0ms
(cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
47.0ms
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))

simplify108.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
351×associate-*r*_binary64
325×times-frac_binary64
273×fma-neg_binary64
248×*-commutative_binary64
243×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04055670
112995468
248555466
Stop Event
1×node limit
Counts
235 → 266

prune911.0ms (7.2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New36220382
Fresh000
Picked101
Done000
Total36320383
Error
31.6b
Counts
383 → 20
Alt Table
StatusErrorProgram
44.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)) 2))))
39.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4) 2) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
49.9b
(+.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 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
48.9b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
▶33.3b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
39.6b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4) 2)) (/.f64 -1/2 a))))
41.6b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) 3) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
49.8b
(+.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 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
43.4b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
40.4b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
53.2b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
56.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 1/3 (-.f64 (log.f64 (/.f64 2 a)) (log.f64 (/.f64 1 g)))))))
34.0b
(+.f64 (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 a)) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
57.1b
(+.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 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
49.8b
(+.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
33.3b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 (/.f64 -1/2 a)) (cbrt.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
49.5b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 1/3 (-.f64 (log.f64 (+.f64 (sqrt.f64 (-.f64 (pow.f64 g 2) (pow.f64 h 2))) g)) (log.f64 a))))))
46.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 (*.f64 (/.f64 2 a) g))))
51.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 1/3 (+.f64 (log.f64 (/.f64 -1 g)) (log.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) a))))))))
43.3b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) (/.f64 -1/2 a))))
Compiler

Compiled 19406 to 10391 computations (46.5% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓1.5b
(+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))
3.6b
(-.f64 (*.f64 g g) (*.f64 h h))
5.3b
(cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)))
30.0b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))

series11.0ms (0.1%)

Counts
1 → 24
Calls

1 calls:

11.0ms
(+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))

rewrite44.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
693×fma-def_binary64
336×fma-neg_binary64
164×expm1-udef_binary64
164×log1p-udef_binary64
149×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0815
118915
2282014
Stop Event
1×node limit
Counts
1 → 51
Calls

1 calls:

42.0ms
(+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))

simplify35.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
521×fma-neg_binary64
463×times-frac_binary64
439×distribute-neg-frac_binary64
231×associate-/r*_binary64
229×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
073575
1228557
2705547
33695543
Stop Event
1×node limit
Counts
75 → 90

prune1.4s (10.9%)

Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New38611397
Fresh81119
Picked101
Done000
Total39522417
Error
30.7b
Counts
417 → 22
Alt Table
StatusErrorProgram
46.8b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (/.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) (pow.f64 (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) 2)) -1/2)) (cbrt.f64 a)))
34.0b
(+.f64 (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 a)) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
38.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 3))) -1/2)) (cbrt.f64 a)))
57.1b
(+.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 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
44.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)) 2))))
39.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4) 2) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
51.3b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
46.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 (*.f64 (/.f64 2 a) g))))
39.2b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) 3)) -1/2)) (cbrt.f64 a)))
51.1b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (/.f64 (cbrt.f64 (*.f64 (fma.f64 1/2 (*.f64 (/.f64 h g) h) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))) -1/2)) (cbrt.f64 a)))
43.4b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
40.4b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
48.2b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (/.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (*.f64 (/.f64 h g) h)) -1/2)) (cbrt.f64 a)))
43.3b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) (/.f64 -1/2 a))))
47.2b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (/.f64 (cbrt.f64 (*.f64 (exp.f64 (log.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))) -1/2)) (cbrt.f64 a)))
43.3b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (/.f64 (cbrt.f64 (*.f64 (*.f64 2 g) -1/2)) (cbrt.f64 a)))
48.7b
(+.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
46.9b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
41.6b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) 3) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
▶33.3b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 (/.f64 -1/2 a)) (cbrt.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
49.5b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 1/3 (-.f64 (log.f64 (+.f64 (sqrt.f64 (-.f64 (pow.f64 g 2) (pow.f64 h 2))) g)) (log.f64 a))))))
50.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (/.f64 (cbrt.f64 (*.f64 (fma.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 g) 2) (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (cbrt.f64 a)))
Compiler

Compiled 19172 to 9388 computations (51% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.5b
(+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))
3.6b
(-.f64 (*.f64 g g) (*.f64 h h))
5.3b
(cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)))
30.0b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))

prune1.8s (13.9%)

Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New3952397
Fresh12021
Picked101
Done000
Total39722419
Error
30.7b
Counts
419 → 22
Alt Table
StatusErrorProgram
46.8b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (/.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) (pow.f64 (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) 2)) -1/2)) (cbrt.f64 a)))
▶34.0b
(+.f64 (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 a)) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
38.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 3))) -1/2)) (cbrt.f64 a)))
57.1b
(+.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 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
44.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)) 2))))
39.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4) 2) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
51.3b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
46.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 (*.f64 (/.f64 2 a) g))))
39.2b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) 3)) -1/2)) (cbrt.f64 a)))
51.1b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (/.f64 (cbrt.f64 (*.f64 (fma.f64 1/2 (*.f64 (/.f64 h g) h) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))) -1/2)) (cbrt.f64 a)))
43.4b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
40.4b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
48.2b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (/.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (*.f64 (/.f64 h g) h)) -1/2)) (cbrt.f64 a)))
43.3b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) (/.f64 -1/2 a))))
46.9b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (cbrt.f64 (/.f64 -1/2 a)) (cbrt.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
50.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (/.f64 (cbrt.f64 (*.f64 (fma.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 g) 2) (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (cbrt.f64 a)))
43.3b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 (/.f64 -1/2 a)) (cbrt.f64 (+.f64 g g))))
48.7b
(+.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
46.9b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
41.6b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) 3) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
49.5b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 1/3 (-.f64 (log.f64 (+.f64 (sqrt.f64 (-.f64 (pow.f64 g 2) (pow.f64 h 2))) g)) (log.f64 a))))))
47.2b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (/.f64 (cbrt.f64 (*.f64 (exp.f64 (log.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))) -1/2)) (cbrt.f64 a)))
Compiler

Compiled 19158 to 9591 computations (49.9% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.5b
(+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))
3.6b
(-.f64 (*.f64 g g) (*.f64 h h))
8.8b
(cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
30.0b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))

prune1.7s (13.2%)

Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New3934397
Fresh21921
Picked011
Done000
Total39524419
Error
30.6b
Counts
419 → 24
Alt Table
StatusErrorProgram
46.8b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (/.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) (pow.f64 (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) 2)) -1/2)) (cbrt.f64 a)))
✓34.0b
(+.f64 (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 a)) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
38.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 3))) -1/2)) (cbrt.f64 a)))
57.1b
(+.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 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
48.7b
(+.f64 (*.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
47.1b
(+.f64 (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 a)) (cbrt.f64 (*.f64 (*.f64 1/2 (*.f64 (/.f64 h g) h)) (/.f64 -1/2 a))))
44.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)) 2))))
39.0b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4) 2) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
46.9b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
51.9b
(+.f64 (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 a)) (cbrt.f64 (*.f64 (fma.f64 (pow.f64 (cbrt.f64 g) 2) (cbrt.f64 g) (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 -1/2 a))))
51.3b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
46.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 (*.f64 (/.f64 2 a) g))))
39.2b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (/.f64 (cbrt.f64 (*.f64 (+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) 3)) -1/2)) (cbrt.f64 a)))
51.1b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (/.f64 (cbrt.f64 (*.f64 (fma.f64 1/2 (*.f64 (/.f64 h g) h) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))) -1/2)) (cbrt.f64 a)))
43.3b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) (/.f64 -1/2 a))))
46.9b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (*.f64 (cbrt.f64 (/.f64 -1/2 a)) (cbrt.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
50.7b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (/.f64 (cbrt.f64 (*.f64 (fma.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 g) 2) (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (cbrt.f64 a)))
39.1b
(+.f64 (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))) g))) (cbrt.f64 a)) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
43.3b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 (/.f64 -1/2 a)) (cbrt.f64 (+.f64 g g))))
47.2b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (/.f64 (cbrt.f64 (*.f64 (exp.f64 (log.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))) -1/2)) (cbrt.f64 a)))
40.3b
(+.f64 (/.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) 3) g))) (cbrt.f64 a)) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
41.6b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) 3) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
49.5b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (*.f64 (cbrt.f64 -1/2) (exp.f64 (*.f64 1/3 (-.f64 (log.f64 (+.f64 (sqrt.f64 (-.f64 (pow.f64 g 2) (pow.f64 h 2))) g)) (log.f64 a))))))
43.4b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
Compiler

Compiled 18275 to 8838 computations (51.6% saved)

regimes1.4s (11%)

Accuracy

Total 0.6b remaining (2%)

Threshold costs 0.6b (2%)

Counts
149 → 2
Compiler

Compiled 37104 to 23854 computations (35.7% saved)

bsearch117.0ms (0.9%)

Steps
ItersRangePoint
11
-1.468681575133714e-136
-3.4221641809975377e-163
-1.1010205556891214e-160
Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
037102
156102
272102
387102
493102
594102
Stop Event
1×saturated

end431.0ms (3.4%)

Compiler

Compiled 1016 to 632 computations (37.8% saved)

Profiling

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