Details

analyze266.0ms

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
37.4%	62.4%	0.1%	6
49.9%	49.9%	0.1%	7
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	9
71.8%	28.1%	0.1%	10
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	12
85%	14.8%	0.1%	13
89.3%	10.5%	0.1%	14

sample66.0ms

Algorithm

intervals

Results

22.0ms	47×	body	1280	valid
12.0ms	44×	body	640	valid
9.0ms	136×	body	80	valid
4.0ms	18×	body	320	valid
2.0ms	11×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

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

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
0.1b	(*.f64 z (sin.f64 y))
0.1b	(*.f64 x (cos.f64 y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_1843`
7×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822` `add-cube-cbrt_binary64_1829` `pow1_binary64_1804` `*-un-lft-identity_binary64_1858`
6×	`associate-l_binary64_1918` `associate-r_binary64_1917`
5×	`add-log-exp_binary64_1823`
2×	`cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `*-commutative_binary64_1926` `unswap-sqr_binary64_1886` `pow-prod-down_binary64_1785`
1×	`+-commutative_binary64_1925` `sum-log_binary64_1773` `flip3-+_binary64_1856` `flip-+_binary64_1883`

Counts

3 → 47

Calls

3 calls:

4.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
4.0ms	(*.f64 z (sin.f64 y))
9.0ms	(*.f64 x (cos.f64 y))

series132.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
33.0ms	(*.f64 z (sin.f64 y))
31.0ms	(*.f64 x (cos.f64 y))

simplify100.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5752	619

prune237.0ms

Filtered

39 candidates to 56 candidates (-43.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	48	8	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	8	57

Merged error: 0.0b

Counts

57 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1825`
23×	`add-sqr-sqrt_binary64_1843`
15×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858`
11×	`pow1_binary64_1804`
9×	`pow1/3_binary64_1796`
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` `add-log-exp_binary64_1823`
2×	`pow-sqr_binary64_1891` `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 → 73

Calls

4 calls:

5.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series366.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
83.0ms	(cbrt.f64 x)
92.0ms	(cbrt.f64 x)
86.0ms	(cbrt.f64 x)

simplify76.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5309	608

prune347.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	83	10	93

Merged error: 0.0b

Counts

93 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y))))
0.6b	(cbrt.f64 (*.f64 x (cos.f64 y)))
0.6b	(cbrt.f64 (*.f64 x (cos.f64 y)))
0.6b	(cbrt.f64 (*.f64 x (cos.f64 y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1_binary64_1804`
10×	`add-sqr-sqrt_binary64_1843`
9×	`pow1/3_binary64_1796`
8×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858`
7×	`cbrt-prod_binary64_1825`
6×	`add-exp-log_binary64_1822`
4×	`add-cbrt-cube_binary64_1830` `associate-l_binary64_1918` `associate-r_binary64_1917` `swap-sqr_binary64_1885` `add-log-exp_binary64_1823`
2×	`pow-sqr_binary64_1891` `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` `unswap-sqr_binary64_1886`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y))))
3.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
2.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
3.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))

series465.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 (*.f64 x (cos.f64 y))))
107.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
102.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
112.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))

simplify92.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5529	764

prune310.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	69	11	80

Merged error: 0.0b

Counts

80 → 11

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 (*.f64 x (cos.f64 y)))
0.6b	(cbrt.f64 (*.f64 x (cos.f64 y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1843`
10×	`cbrt-prod_binary64_1825`
8×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858`
6×	`add-exp-log_binary64_1822` `pow1_binary64_1804` `associate-r_binary64_1917`
5×	`pow1/3_binary64_1796`
4×	`add-cbrt-cube_binary64_1830` `associate-l_binary64_1918` `add-log-exp_binary64_1823`
2×	`unswap-sqr_binary64_1886` `pow-prod-down_binary64_1785`
1×	`cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `*-commutative_binary64_1926`

Counts

4 → 53

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
2.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))

series415.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 x))
86.0ms	(cbrt.f64 x)
104.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))
113.0ms	(cbrt.f64 (*.f64 x (cos.f64 y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	6003	756

prune247.0ms

Filtered

53 candidates to 65 candidates (-22.6%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	65	11	76

Merged error: 0.0b

Counts

76 → 11

regimes409.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	38
1	21	38

end0.0ms

sample1.8s

Algorithm

intervals

Results

713.0ms	1521×	body	1280	valid
337.0ms	1179×	body	640	valid
297.0ms	4377×	body	80	valid
127.0ms	609×	body	320	valid
45.0ms	314×	body	160	valid

Details

analyze266.0ms

sample66.0ms

simplify11.0ms

prune8.0ms

localize13.0ms

rewrite19.0ms

series132.0ms

simplify100.0ms

prune237.0ms

localize19.0ms

rewrite11.0ms

series366.0ms

simplify76.0ms

prune347.0ms

localize20.0ms

rewrite15.0ms

series465.0ms

simplify92.0ms

prune310.0ms

localize26.0ms

rewrite13.0ms

series415.0ms

simplify88.0ms

prune247.0ms

regimes409.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.8s

Profiling