Details

analyze249.0ms

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%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
39%	57.7%	3.3%	9
47.6%	46%	6.4%	10
58.1%	35.5%	6.4%	11
62.2%	29.1%	8.7%	12
66.2%	22.7%	11.1%	13
71.3%	17.6%	11.1%	14

sample21.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	15×	body	80	invalid

simplify27.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	241	10
1	241	10

prune7.0ms

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: 2.4b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 1 (*.f64 y z))
2.2b	(.f64 x (-.f64 1 (.f64 y z)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_1843`
4×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822` `add-cube-cbrt_binary64_1829` `pow1_binary64_1804` `*-un-lft-identity_binary64_1858` `add-log-exp_binary64_1823`
3×	`associate-l_binary64_1918` `associate-r_binary64_1917` `sub-neg_binary64_1862`
2×	`associate-*r/_binary64_1919` `flip--_binary64_1884` `flip3--_binary64_1857`
1×	`cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `*-commutative_binary64_1926` `distribute-rgt-in_binary64_1901` `diff-log_binary64_1774` `unswap-sqr_binary64_1886` `distribute-lft-in_binary64_1900` `pow-prod-down_binary64_1785`

Counts

2 → 33

Calls

2 calls:

3.0ms	(-.f64 1 (*.f64 y z))
6.0ms	(.f64 x (-.f64 1 (.f64 y z)))

series66.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(-.f64 1 (*.f64 y z))
47.0ms	(.f64 x (-.f64 1 (.f64 y z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4990	459
1	4990	459

prune189.0ms

Filtered

27 candidates to 39 candidates (-44.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	32	7	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	8	40

Merged error: 2.2b

Counts

40 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

2.2b	(.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) (cbrt.f64 (-.f64 1 (.f64 y z)))) (cbrt.f64 (-.f64 1 (.f64 y z)))))
2.4b	(cbrt.f64 (-.f64 1 (*.f64 y z)))
2.4b	(cbrt.f64 (-.f64 1 (*.f64 y z)))
2.4b	(cbrt.f64 (-.f64 1 (*.f64 y z)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div_binary64_1826`
34×	`associate-*r/_binary64_1919`
30×	`flip--_binary64_1884` `flip3--_binary64_1857`
28×	`frac-times_binary64_1850`
14×	`associate-*l/_binary64_1920`
13×	`add-exp-log_binary64_1822` `pow1_binary64_1804`
9×	`add-cbrt-cube_binary64_1830` `cbrt-prod_binary64_1825`
8×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858` `add-sqr-sqrt_binary64_1843`
6×	`cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `pow-prod-down_binary64_1785`
4×	`add-log-exp_binary64_1823`
3×	`pow1/3_binary64_1796` `associate-l_binary64_1918`
1×	`-commutative_binary64_1926` `associate-r*_binary64_1917`

Counts

4 → 86

Calls

4 calls:

19.0ms	(.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) (cbrt.f64 (-.f64 1 (.f64 y z)))) (cbrt.f64 (-.f64 1 (.f64 y z)))))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))

series497.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 y z))) (cbrt.f64 (-.f64 1 (.f64 y z)))) (cbrt.f64 (-.f64 1 (.f64 y z)))))
148.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
148.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))
149.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))

simplify64.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4981	2333
1	4981	2333

prune444.0ms

Filtered

73 candidates to 98 candidates (-34.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	96	10	106

Merged error: 2.2b

Counts

106 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))
2.2b	(.f64 x (-.f64 1 (.f64 y z)))
2.2b	(.f64 x (-.f64 1 (.f64 y z)))
2.2b	(.f64 x (-.f64 1 (.f64 y z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1843`
10×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822` `add-cube-cbrt_binary64_1829` `pow1_binary64_1804` `*-un-lft-identity_binary64_1858`
9×	`associate-l_binary64_1918` `associate-r_binary64_1917`
8×	`associate-*r/_binary64_1919`
6×	`sub-neg_binary64_1862`
4×	`flip--_binary64_1884` `flip3--_binary64_1857` `add-log-exp_binary64_1823`
3×	`cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `*-commutative_binary64_1926` `distribute-rgt-in_binary64_1901` `unswap-sqr_binary64_1886` `distribute-lft-in_binary64_1900` `pow-prod-down_binary64_1785`
2×	`cbrt-div_binary64_1826`
1×	`pow1/3_binary64_1796` `cbrt-prod_binary64_1825`

Counts

4 → 77

Calls

4 calls:

4.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))
6.0ms	(.f64 x (-.f64 1 (.f64 y z)))
6.0ms	(.f64 x (-.f64 1 (.f64 y z)))
6.0ms	(.f64 x (-.f64 1 (.f64 y z)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))
43.0ms	(.f64 x (-.f64 1 (.f64 y z)))
46.0ms	(.f64 x (-.f64 1 (.f64 y z)))
44.0ms	(.f64 x (-.f64 1 (.f64 y z)))

simplify86.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4969	1141
1	4969	1141

prune575.0ms

Filtered

63 candidates to 89 candidates (-41.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	88	11	99

Merged error: 2.2b

Counts

99 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))
2.2b	(.f64 x (-.f64 1 (.f64 y z)))
2.2b	(.f64 x (-.f64 1 (.f64 y z)))
2.4b	(cbrt.f64 (-.f64 1 (*.f64 y z)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_1843`
9×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858`
8×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822` `pow1_binary64_1804`
6×	`associate-l_binary64_1918` `associate-r_binary64_1917` `associate-*r/_binary64_1919`
4×	`sub-neg_binary64_1862` `cbrt-div_binary64_1826` `cbrt-prod_binary64_1825` `flip--_binary64_1884` `flip3--_binary64_1857` `add-log-exp_binary64_1823`
2×	`pow1/3_binary64_1796` `cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `*-commutative_binary64_1926` `distribute-rgt-in_binary64_1901` `unswap-sqr_binary64_1886` `distribute-lft-in_binary64_1900` `pow-prod-down_binary64_1785`

Counts

4 → 68

Calls

4 calls:

4.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))
6.0ms	(.f64 x (-.f64 1 (.f64 y z)))
6.0ms	(.f64 x (-.f64 1 (.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))

series366.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt.f64 (.f64 x (-.f64 1 (.f64 y z))))
44.0ms	(.f64 x (-.f64 1 (.f64 y z)))
46.0ms	(.f64 x (-.f64 1 (.f64 y z)))
153.0ms	(cbrt.f64 (-.f64 1 (*.f64 y z)))

simplify68.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5333	1169

prune325.0ms

Filtered

65 candidates to 80 candidates (-23.1%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	80	11	91

Merged error: 2.2b

Counts

91 → 11

regimes851.0ms

Accuracy

0% (0.1b remaining)

Error of 3.3b against oracle of 3.2b and baseline of 3.3b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	10
1	36	10

end0.0ms

sample449.0ms

Algorithm

intervals

Results

207.0ms	8000×	body	80	valid
15.0ms	598×	body	80	invalid

Details

analyze249.0ms

sample21.0ms

simplify27.0ms

prune7.0ms

localize7.0ms

rewrite9.0ms

series66.0ms

simplify51.0ms

prune189.0ms

localize14.0ms

rewrite38.0ms

series497.0ms

simplify64.0ms

prune444.0ms

localize14.0ms

rewrite24.0ms

series259.0ms

simplify86.0ms

prune575.0ms

localize20.0ms

rewrite20.0ms

series366.0ms

simplify68.0ms

prune325.0ms

regimes851.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample449.0ms

Profiling