Details

analyze271.0ms

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
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

sample22.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	18×	body	80	invalid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	301	10
1	301	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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y x) z)
0.0b	(+.f64 x (*.f64 (-.f64 y x) z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_1843`
6×	`*-un-lft-identity_binary64_1858`
5×	`associate-l_binary64_1918`
4×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822` `add-cube-cbrt_binary64_1829` `pow1_binary64_1804` `add-log-exp_binary64_1823`
3×	`associate-r_binary64_1917`
2×	`associate-*l/_binary64_1920`
1×	`+-commutative_binary64_1925` `sum-log_binary64_1773` `cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `*-commutative_binary64_1926` `unswap-sqr_binary64_1886` `pow-prod-down_binary64_1785` `flip3-+_binary64_1856` `flip--_binary64_1884` `distribute-lft-out--_binary64_1903` `difference-of-squares_binary64_1887` `flip-+_binary64_1883` `flip3--_binary64_1857`

Counts

2 → 33

Calls

2 calls:

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

series55.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(*.f64 (-.f64 y x) z)
29.0ms	(+.f64 x (*.f64 (-.f64 y x) z))

simplify55.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5037	448

prune123.0ms

Filtered

27 candidates to 39 candidates (-44.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 y x) z))) (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z))))
0.5b	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
0.5b	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
0.5b	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1825`
23×	`add-sqr-sqrt_binary64_1843`
18×	`cbrt-div_binary64_1826`
15×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858`
11×	`pow1_binary64_1804`
9×	`pow1/3_binary64_1796` `flip3-+_binary64_1856` `flip-+_binary64_1883`
6×	`add-exp-log_binary64_1822` `associate-l_binary64_1918` `associate-r_binary64_1917` `swap-sqr_binary64_1885`
4×	`add-cbrt-cube_binary64_1830` `unswap-sqr_binary64_1886` `frac-times_binary64_1850` `add-log-exp_binary64_1823`
2×	`pow-sqr_binary64_1891` `associate-l/_binary64_1920` `associate-r/_binary64_1919` `pow-prod-up_binary64_1784` `pow-prod-down_binary64_1785`
1×	`pow2_binary64_1795` `cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `*-commutative_binary64_1926` `pow-plus_binary64_1799`

Counts

4 → 87

Calls

4 calls:

16.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 y x) z))) (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z))))
2.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
2.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))

series1.2s

Counts

4 → 12

Calls

4 calls:

488.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (-.f64 y x) z))) (cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z))))
225.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
215.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
222.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))

simplify89.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5095	2591

prune327.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	98	4	102

Merged error: 0.0b

Counts

102 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 y x) z)
0.0b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3)))
0.3b	(pow.f64 (*.f64 (-.f64 y x) z) 3)
33.4b	(cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_1858` `add-sqr-sqrt_binary64_1843`
9×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822` `pow1_binary64_1804`
8×	`add-cube-cbrt_binary64_1829` `cbrt-prod_binary64_1825`
6×	`associate-*l/_binary64_1920` `add-log-exp_binary64_1823`
5×	`associate-l_binary64_1918`
4×	`cube-div_binary64_1832`
3×	`pow-unpow_binary64_1791` `associate-r_binary64_1917` `flip--_binary64_1884` `flip3--_binary64_1857`
2×	`cbrt-unprod_binary64_1827` `cube-mult_binary64_1833` `rem-cube-cbrt_binary64_1834` `prod-exp_binary64_1809` `cube-prod_binary64_1831` `unpow-prod-down_binary64_1793` `pow-prod-down_binary64_1785` `pow-exp_binary64_1782` `cbrt-div_binary64_1826` `unpow3_binary64_1802` `pow-pow_binary64_1786` `sqr-pow_binary64_1890`
1×	`+-commutative_binary64_1925` `pow1/3_binary64_1796` `sum-log_binary64_1773` `rem-cbrt-cube_binary64_1835` `distribute-lft-out_binary64_1902` `*-commutative_binary64_1926` `pow-to-exp_binary64_1783` `unswap-sqr_binary64_1886` `flip3-+_binary64_1856` `distribute-lft-out--_binary64_1903` `difference-of-squares_binary64_1887` `flip-+_binary64_1883`

Counts

4 → 77

Calls

4 calls:

6.0ms	(*.f64 (-.f64 y x) z)
5.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3)))
6.0ms	(pow.f64 (*.f64 (-.f64 y x) z) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3))

series168.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(*.f64 (-.f64 y x) z)
37.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3)))
59.0ms	(pow.f64 (*.f64 (-.f64 y x) z) 3)
42.0ms	(cbrt.f64 (pow.f64 (*.f64 (-.f64 y x) z) 3))

simplify87.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5001	1092

prune229.0ms

Filtered

61 candidates to 89 candidates (-45.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	89	4	93

Merged error: 0.0b

Counts

93 → 4

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
0.5b	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
0.5b	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
0.5b	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1825`
8×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858` `add-sqr-sqrt_binary64_1843` `cbrt-div_binary64_1826`
4×	`add-cbrt-cube_binary64_1830` `pow1/3_binary64_1796` `add-exp-log_binary64_1822` `pow1_binary64_1804` `flip3-+_binary64_1856` `flip-+_binary64_1883` `add-log-exp_binary64_1823`

Counts

4 → 52

Calls

4 calls:

2.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
2.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))

series876.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
222.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
215.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))
221.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5208	1512

prune206.0ms

Filtered

60 candidates to 64 candidates (-6.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	64	4	68

Merged error: 0.0b

Counts

68 → 4

regimes317.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms

sample454.0ms

Algorithm

intervals

Results

203.0ms	8000×	body	80	valid
15.0ms	627×	body	80	invalid

Details

analyze271.0ms

sample22.0ms

simplify26.0ms

prune7.0ms

localize7.0ms

rewrite10.0ms

series55.0ms

simplify55.0ms

prune123.0ms

localize13.0ms

rewrite26.0ms

series1.2s

simplify89.0ms

prune327.0ms

localize12.0ms

rewrite23.0ms

series168.0ms

simplify87.0ms

prune229.0ms

localize37.0ms

rewrite11.0ms

series876.0ms

simplify49.0ms

prune206.0ms

regimes317.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample454.0ms

Profiling