Details

analyze190.0ms

Algorithm

Search

True	Other	False	Iter
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%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

sample28.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
0.0ms	9×	body	80	invalid
0.0ms	1×	body	80	nan

simplify378.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (369.0ms)

Iter	Nodes	Cost
0	4889	18
1	4889	18

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
0.2b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64_1858`
9×	`pow1_binary64_1804`
8×	`distribute-lft-out_binary64_1902` `add-sqr-sqrt_binary64_1843` `add-log-exp_binary64_1823`
7×	`associate-r_binary64_1917`
6×	`add-cube-cbrt_binary64_1829`
5×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822` `associate-+r+_binary64_1909`
4×	`log-pow_binary64_1779` `distribute-lft-out--_binary64_1903`
3×	`sum-log_binary64_1773` `log-prod_binary64_1776` `associate-l_binary64_1918` `flip3-+_binary64_1856` `flip-+_binary64_1883`
2×	`+-commutative_binary64_1925` `distribute-rgt-in_binary64_1901` `distribute-lft-in_binary64_1900` `associate-*r/_binary64_1919`
1×	`cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `*-commutative_binary64_1926` `diff-log_binary64_1774` `associate-+l+_binary64_1910` `unswap-sqr_binary64_1886` `associate-+l-_binary64_1912` `pow-prod-down_binary64_1785` `sub-neg_binary64_1862`

Counts

3 → 60

Calls

3 calls:

11.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
8.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
10.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

series161.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
59.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
56.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

simplify59.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5062	1063

prune276.0ms

Filtered

44 candidates to 69 candidates (-56.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	61	8	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	9	70

Merged error: 0b

Counts

70 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
0.0b	(*.f64 y (-.f64 1 z))
0.1b	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
0.3b	(*.f64 y (log.f64 z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_1843`
15×	`*-un-lft-identity_binary64_1858`
12×	`log-prod_binary64_1776` `add-cube-cbrt_binary64_1829`
11×	`add-log-exp_binary64_1823`
10×	`associate-r_binary64_1917`
9×	`pow1_binary64_1804`
8×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822` `distribute-rgt-in_binary64_1901` `distribute-lft-in_binary64_1900`
7×	`associate-+r+_binary64_1909`
6×	`associate-l_binary64_1918`
4×	`sum-log_binary64_1773` `sub-neg_binary64_1862`
2×	`+-commutative_binary64_1925` `cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `-commutative_binary64_1926` `associate-+l+_binary64_1910` `unswap-sqr_binary64_1886` `associate-r/_binary64_1919` `pow-prod-down_binary64_1785` `flip3-+_binary64_1856` `difference-of-squares_binary64_1887` `flip-+_binary64_1883`
1×	`distribute-lft-out_binary64_1902` `log-pow_binary64_1779` `flip--_binary64_1884` `distribute-lft-out--_binary64_1903` `flip3--_binary64_1857`

Counts

4 → 83

Calls

4 calls:

10.0ms	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
7.0ms	(*.f64 y (-.f64 1 z))
9.0ms	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
5.0ms	(*.f64 y (log.f64 z))

series168.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
23.0ms	(*.f64 y (-.f64 1 z))
67.0ms	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
33.0ms	(*.f64 y (log.f64 z))

simplify74.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5227	1301

prune377.0ms

Filtered

68 candidates to 95 candidates (-39.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	96	8	104

Merged error: 0b

Counts

104 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 2 (log.f64 (cbrt.f64 z)))) (log.f64 (cbrt.f64 z))))
0.2b	(+.f64 (+.f64 (-.f64 1 z) (*.f64 2 (log.f64 (cbrt.f64 z)))) (log.f64 (cbrt.f64 z)))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_1858`
12×	`add-sqr-sqrt_binary64_1843`
10×	`add-cube-cbrt_binary64_1829` `add-log-exp_binary64_1823`
9×	`cbrt-prod_binary64_1825`
8×	`pow1_binary64_1804`
6×	`add-cbrt-cube_binary64_1830` `log-prod_binary64_1776` `add-exp-log_binary64_1822` `associate-+r+_binary64_1909`
5×	`sum-log_binary64_1773` `associate-r_binary64_1917`
4×	`distribute-lft-out_binary64_1902`
3×	`associate-l_binary64_1918`
2×	`pow1/3_binary64_1796` `associate-+l-_binary64_1912` `associate-*r/_binary64_1919` `log-pow_binary64_1779` `flip3-+_binary64_1856` `flip-+_binary64_1883`
1×	`+-commutative_binary64_1925` `cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `*-commutative_binary64_1926` `distribute-rgt-in_binary64_1901` `diff-log_binary64_1774` `associate-+l+_binary64_1910` `unswap-sqr_binary64_1886` `distribute-lft-in_binary64_1900` `pow-prod-down_binary64_1785`

Counts

4 → 69

Calls

4 calls:

13.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 2 (log.f64 (cbrt.f64 z)))) (log.f64 (cbrt.f64 z))))
12.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 2 (log.f64 (cbrt.f64 z)))) (log.f64 (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series506.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 2 (log.f64 (cbrt.f64 z)))) (log.f64 (cbrt.f64 z))))
187.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 2 (log.f64 (cbrt.f64 z)))) (log.f64 (cbrt.f64 z)))
84.0ms	(cbrt.f64 z)
91.0ms	(cbrt.f64 z)

simplify75.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5146	1132

prune383.0ms

Filtered

67 candidates to 81 candidates (-20.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	81	8	89

Merged error: 0b

Counts

89 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 y (.f64 (log.f64 (cbrt.f64 z)) 2))
0.3b	(+.f64 (.f64 y (.f64 (log.f64 (cbrt.f64 z)) 2)) (*.f64 y (log.f64 (cbrt.f64 z))))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod_binary64_1776` `cbrt-prod_binary64_1825` `associate-+r+_binary64_1909`
11×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858` `add-sqr-sqrt_binary64_1843`
9×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822` `pow1_binary64_1804`
6×	`distribute-rgt-in_binary64_1901` `distribute-lft-in_binary64_1900` `add-log-exp_binary64_1823`
3×	`cbrt-unprod_binary64_1827` `associate-l_binary64_1918` `prod-exp_binary64_1809` `pow-prod-down_binary64_1785`
2×	`pow1/3_binary64_1796`
1×	`+-commutative_binary64_1925` `sum-log_binary64_1773` `distribute-lft-out_binary64_1902` `-commutative_binary64_1926` `associate-r*_binary64_1917` `flip3-+_binary64_1856` `flip-+_binary64_1883`

Counts

4 → 64

Calls

4 calls:

5.0ms	(.f64 y (.f64 (log.f64 (cbrt.f64 z)) 2))
8.0ms	(+.f64 (.f64 y (.f64 (log.f64 (cbrt.f64 z)) 2)) (*.f64 y (log.f64 (cbrt.f64 z))))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series340.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(.f64 y (.f64 (log.f64 (cbrt.f64 z)) 2))
86.0ms	(+.f64 (.f64 y (.f64 (log.f64 (cbrt.f64 z)) 2)) (*.f64 y (log.f64 (cbrt.f64 z))))
83.0ms	(cbrt.f64 z)
90.0ms	(cbrt.f64 z)

simplify104.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5796	774

prune350.0ms

Filtered

64 candidates to 76 candidates (-18.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	76	8	84

Merged error: 0b

Counts

84 → 8

regimes798.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	18
1	26	18

end0.0ms

sample655.0ms

Algorithm

intervals

Results

395.0ms	8000×	body	80	valid
15.0ms	317×	body	80	invalid
2.0ms	65×	body	80	nan

Details

analyze190.0ms

sample28.0ms

simplify378.0ms

prune8.0ms

localize14.0ms

rewrite30.0ms

series161.0ms

simplify59.0ms

prune276.0ms

localize17.0ms

rewrite32.0ms

series168.0ms

simplify74.0ms

prune377.0ms

localize21.0ms

rewrite29.0ms

series506.0ms

simplify75.0ms

prune383.0ms

localize24.0ms

rewrite18.0ms

series340.0ms

simplify104.0ms

prune350.0ms

regimes798.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample655.0ms

Profiling