Details

Time bar (total: 9.5s)

analyze250.0ms

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
25%74.9%0.1%6
25%74.9%0.1%7
43.7%56.2%0.1%8
62.4%37.4%0.1%9
65.5%34.3%0.1%10
71.8%27.7%0.5%11
79.2%19.7%1.1%12
80.2%18.7%1.1%13
82.8%15%2.2%14

sample27.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
1.0ms16×body80invalid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
011016
111016

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.6b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

3.8b
(*.f64 y (+.f64 1 (*.f64 z z)))
4.8b
(/.f64 (/.f64 1 x) (*.f64 y (+.f64 1 (*.f64 z z))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac_binary64_1853
21×add-exp-log_binary64_1822
20×add-sqr-sqrt_binary64_1843
18×add-cube-cbrt_binary64_1829 *-un-lft-identity_binary64_1858
16×add-cbrt-cube_binary64_1830
13×associate-/l*_binary64_1922
8×div-exp_binary64_1811
6×cbrt-undiv_binary64_1828
4×prod-exp_binary64_1809 pow1_binary64_1804 associate-*r/_binary64_1919
3×cbrt-unprod_binary64_1827 associate-*l*_binary64_1918 div-inv_binary64_1859 associate-*r*_binary64_1917
2×rec-exp_binary64_1810 associate-/r/_binary64_1923 flip3-+_binary64_1856 flip-+_binary64_1883 add-log-exp_binary64_1823
1×clear-num_binary64_1861 frac-2neg_binary64_1851 associate-/r*_binary64_1921 *-commutative_binary64_1926 distribute-rgt-in_binary64_1901 unswap-sqr_binary64_1886 distribute-lft-in_binary64_1900 associate-/l/_binary64_1924 pow-prod-down_binary64_1785
Counts
2 → 72
Calls
2 calls:
6.0ms
(*.f64 y (+.f64 1 (*.f64 z z)))
9.0ms
(/.f64 (/.f64 1 x) (*.f64 y (+.f64 1 (*.f64 z z))))

series100.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(*.f64 y (+.f64 1 (*.f64 z z)))
61.0ms
(/.f64 (/.f64 1 x) (*.f64 y (+.f64 1 (*.f64 z z))))

simplify83.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
052711283

prune273.0ms

Filtered
51 candidates to 78 candidates (-52.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New681078
Fresh000
Picked101
Done000
Total691079

Merged error: 5.8b

Counts
79 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 x)
0.5b
(cbrt.f64 x)
1.9b
(/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z)))
5.9b
(*.f64 (/.f64 (/.f64 1 y) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
346×times-frac_binary64_1853
233×add-sqr-sqrt_binary64_1843
165×*-un-lft-identity_binary64_1858
151×add-cube-cbrt_binary64_1829
139×add-exp-log_binary64_1822
77×cbrt-prod_binary64_1825
72×associate-*r*_binary64_1917
64×div-exp_binary64_1811
60×add-cbrt-cube_binary64_1830
40×prod-exp_binary64_1809
36×cbrt-undiv_binary64_1828
24×unswap-sqr_binary64_1886
22×associate-/l*_binary64_1922
21×cbrt-unprod_binary64_1827
17×associate-*l*_binary64_1918
16×rec-exp_binary64_1810
11×div-inv_binary64_1859
6×pow1_binary64_1804
4×associate-/r/_binary64_1923 add-log-exp_binary64_1823
3×associate-/r*_binary64_1921
2×pow1/3_binary64_1796 flip3-+_binary64_1856 flip-+_binary64_1883
1×clear-num_binary64_1861 frac-2neg_binary64_1851 *-commutative_binary64_1926 associate-*l/_binary64_1920 associate-/l/_binary64_1924 associate-*r/_binary64_1919 pow-prod-down_binary64_1785 frac-times_binary64_1850
Counts
4 → 299
Calls
4 calls:
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
9.0ms
(/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z)))
48.0ms
(*.f64 (/.f64 (/.f64 1 y) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z))))

series356.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(cbrt.f64 x)
81.0ms
(cbrt.f64 x)
120.0ms
(/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z)))
72.0ms
(*.f64 (/.f64 (/.f64 1 y) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z))))

simplify148.0ms

Algorithm
egg-herbie
Counts
311 → 311
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
050729562

prune920.0ms

Filtered
215 candidates to 311 candidates (-44.7%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New3092311
Fresh189
Picked011
Done000
Total31011321

Merged error: 5.8b

Counts
321 → 11

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (/.f64 1 y))
1.9b
(*.f64 (cbrt.f64 x) (+.f64 1 (*.f64 z z)))
1.9b
(/.f64 (/.f64 (cbrt.f64 (/.f64 1 y)) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (+.f64 1 (*.f64 z z))))
3.3b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 y)) (cbrt.f64 (/.f64 1 y))) (cbrt.f64 x)) (/.f64 (/.f64 (cbrt.f64 (/.f64 1 y)) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (+.f64 1 (*.f64 z z)))))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
667×times-frac_binary64_1853
399×cbrt-prod_binary64_1825
271×add-sqr-sqrt_binary64_1843
261×add-cube-cbrt_binary64_1829 *-un-lft-identity_binary64_1858
109×associate-*r*_binary64_1917
100×associate-/l*_binary64_1922
87×add-exp-log_binary64_1822
42×add-cbrt-cube_binary64_1830
34×div-exp_binary64_1811 cbrt-undiv_binary64_1828
29×cbrt-unprod_binary64_1827 prod-exp_binary64_1809
25×div-inv_binary64_1859
16×associate-*l*_binary64_1918
8×pow1_binary64_1804
7×associate-*r/_binary64_1919
5×unswap-sqr_binary64_1886
4×associate-/r/_binary64_1923 add-log-exp_binary64_1823
3×flip3-+_binary64_1856 flip-+_binary64_1883
2×*-commutative_binary64_1926 pow-prod-down_binary64_1785
1×pow1/3_binary64_1796 clear-num_binary64_1861 frac-2neg_binary64_1851 associate-/r*_binary64_1921 distribute-rgt-in_binary64_1901 associate-*l/_binary64_1920 distribute-lft-in_binary64_1900 associate-/l/_binary64_1924 frac-times_binary64_1850 cbrt-div_binary64_1826
Counts
4 → 431
Calls
4 calls:
2.0ms
(cbrt.f64 (/.f64 1 y))
6.0ms
(*.f64 (cbrt.f64 x) (+.f64 1 (*.f64 z z)))
23.0ms
(/.f64 (/.f64 (cbrt.f64 (/.f64 1 y)) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (+.f64 1 (*.f64 z z))))
59.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 y)) (cbrt.f64 (/.f64 1 y))) (cbrt.f64 x)) (/.f64 (/.f64 (cbrt.f64 (/.f64 1 y)) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (+.f64 1 (*.f64 z z)))))

series399.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(cbrt.f64 (/.f64 1 y))
131.0ms
(*.f64 (cbrt.f64 x) (+.f64 1 (*.f64 z z)))
123.0ms
(/.f64 (/.f64 (cbrt.f64 (/.f64 1 y)) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (+.f64 1 (*.f64 z z))))
62.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 y)) (cbrt.f64 (/.f64 1 y))) (cbrt.f64 x)) (/.f64 (/.f64 (cbrt.f64 (/.f64 1 y)) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (+.f64 1 (*.f64 z z)))))

simplify156.0ms

Algorithm
egg-herbie
Counts
443 → 443
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
0527816980

prune2.3s

Filtered
352 candidates to 443 candidates (-25.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New4430443
Fresh099
Picked011
Done011
Total44311454

Merged error: 5.8b

Counts
454 → 11

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
1.9b
(/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z)))
1.9b
(/.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z))) (*.f64 (cbrt.f64 x) (cbrt.f64 y)))
3.3b
(*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 x)) (/.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z))) (*.f64 (cbrt.f64 x) (cbrt.f64 y))))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
712×times-frac_binary64_1853
348×add-exp-log_binary64_1822
312×add-sqr-sqrt_binary64_1843
296×*-un-lft-identity_binary64_1858
294×add-cube-cbrt_binary64_1829
179×div-exp_binary64_1811
144×cbrt-prod_binary64_1825
112×add-cbrt-cube_binary64_1830
100×prod-exp_binary64_1809
98×cbrt-undiv_binary64_1828
94×associate-/l*_binary64_1922
76×associate-*r*_binary64_1917
50×cbrt-unprod_binary64_1827
46×associate-*l*_binary64_1918
33×rec-exp_binary64_1810
26×div-inv_binary64_1859
8×associate-/r/_binary64_1923
7×unswap-sqr_binary64_1886
6×pow1_binary64_1804
4×associate-/r*_binary64_1921 flip3-+_binary64_1856 flip-+_binary64_1883 add-log-exp_binary64_1823
2×clear-num_binary64_1861 frac-2neg_binary64_1851 associate-/l/_binary64_1924
1×pow1/3_binary64_1796 *-commutative_binary64_1926 associate-*l/_binary64_1920 associate-*r/_binary64_1919 pow-prod-down_binary64_1785 frac-times_binary64_1850
Counts
4 → 513
Calls
4 calls:
1.0ms
(cbrt.f64 y)
9.0ms
(/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z)))
20.0ms
(/.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z))) (*.f64 (cbrt.f64 x) (cbrt.f64 y)))
79.0ms
(*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 x)) (/.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z))) (*.f64 (cbrt.f64 x) (cbrt.f64 y))))

series445.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(cbrt.f64 y)
139.0ms
(/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z)))
151.0ms
(/.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z))) (*.f64 (cbrt.f64 x) (cbrt.f64 y)))
74.0ms
(*.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 x)) (/.f64 (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 (*.f64 z z))) (*.f64 (cbrt.f64 x) (cbrt.f64 y))))

simplify211.0ms

Algorithm
egg-herbie
Counts
525 → 525
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
0500221407

prune1.8s

Filtered
365 candidates to 525 candidates (-43.8%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New5250525
Fresh088
Picked011
Done022
Total52511536

Merged error: 5.8b

Counts
536 → 11

regimes1.0s

Accuracy

0% (1.3b remaining)

Error of 5.8b against oracle of 4.5b and baseline of 5.8b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01946
11946

end0.0ms

sample542.0ms

Algorithm
intervals
Results
296.0ms8000×body80valid
18.0ms490×body80invalid

Profiling

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