Details

analyze375.0ms

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
12.5%	87.4%	0.1%	6
34.3%	65.5%	0.1%	7
46.8%	53%	0.1%	8
48%	51.9%	0.1%	9
63%	36.9%	0.1%	10
71.7%	28.2%	0.1%	11
72%	27.8%	0.1%	12
80.5%	19.4%	0.1%	13
85.4%	14.5%	0.1%	14

sample52.0ms

Algorithm

intervals

Results

12.0ms	27×	body	1280	valid
11.0ms	183×	body	80	valid
9.0ms	32×	body	640	valid
2.0ms	9×	body	320	valid
1.0ms	5×	body	160	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	20	14
1	20	14

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

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp_binary64_1823`
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`
3×	`sum-log_binary64_1773` `associate-l_binary64_1918` `associate-r_binary64_1917`
1×	`+-commutative_binary64_1925` `cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `*-commutative_binary64_1926` `associate-+l+_binary64_1910` `unswap-sqr_binary64_1886` `pow-prod-down_binary64_1785` `flip3-+_binary64_1856` `flip-+_binary64_1883`

Counts

2 → 31

Calls

2 calls:

6.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
4.0ms	(*.f64 z (cos.f64 y))

series85.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
39.0ms	(*.f64 z (cos.f64 y))

simplify73.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5007	480

prune152.0ms

Filtered

27 candidates to 37 candidates (-37.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Merged error: 0.0b

Counts

38 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))

rewrite18.0ms

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:

11.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

series328.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
74.0ms	(cbrt.f64 (cos.f64 y))
71.0ms	(cbrt.f64 (cos.f64 y))
75.0ms	(cbrt.f64 (cos.f64 y))

simplify122.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4881	803
1	4881	803

prune337.0ms

Filtered

61 candidates to 85 candidates (-39.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	85	5	90

Merged error: 0b

Counts

90 → 5

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
0.2b	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
0.3b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (cos.f64 y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log_binary64_1822`
22×	`add-sqr-sqrt_binary64_1843`
19×	`unpow-prod-down_binary64_1793`
18×	`associate-r_binary64_1917`
16×	`prod-exp_binary64_1809`
13×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858`
11×	`add-cbrt-cube_binary64_1830`
9×	`pow-exp_binary64_1782`
7×	`cbrt-unprod_binary64_1827` `pow1_binary64_1804`
6×	`unswap-sqr_binary64_1886` `cbrt-prod_binary64_1825`
5×	`pow-to-exp_binary64_1783` `sqr-pow_binary64_1890`
4×	`associate-l_binary64_1918` `add-log-exp_binary64_1823`
3×	`pow-unpow_binary64_1791` `unpow2_binary64_1801`
2×	`unpow1/3_binary64_1803` `*-commutative_binary64_1926`
1×	`pow1/3_binary64_1796` `pow-prod-down_binary64_1785` `pow-pow_binary64_1786`

Counts

4 → 90

Calls

4 calls:

8.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
9.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
2.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

series222.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
32.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
17.0ms	(pow.f64 (cos.f64 y) 2)
78.0ms	(cbrt.f64 (cos.f64 y))

simplify89.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4929	1173
1	4929	1173

prune331.0ms

Filtered

64 candidates to 102 candidates (-59.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	102	5	107

Merged error: 0b

Counts

107 → 5

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (cos.f64 y))
0.0b	(sqrt.f64 (cos.f64 y))
0.1b	(*.f64 z (sqrt.f64 (cos.f64 y)))
0.1b	(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_1843`
13×	`pow1_binary64_1804` `sqrt-prod_binary64_1837`
12×	`associate-r_binary64_1917`
11×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822` `add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858`
4×	`cbrt-unprod_binary64_1827` `associate-l_binary64_1918` `prod-exp_binary64_1809` `pow-prod-down_binary64_1785` `add-log-exp_binary64_1823`
2×	`*-commutative_binary64_1926` `sqrt-pow1_binary64_1839` `unswap-sqr_binary64_1886` `pow1/2_binary64_1794` `rem-sqrt-square_binary64_1846`

Counts

4 → 69

Calls

4 calls:

1.0ms	(sqrt.f64 (cos.f64 y))
1.0ms	(sqrt.f64 (cos.f64 y))
5.0ms	(*.f64 z (sqrt.f64 (cos.f64 y)))
7.0ms	(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))

series101.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt.f64 (cos.f64 y))
12.0ms	(sqrt.f64 (cos.f64 y))
45.0ms	(*.f64 z (sqrt.f64 (cos.f64 y)))
32.0ms	(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))

simplify85.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4940	724
1	4940	724

prune227.0ms

Filtered

53 candidates to 81 candidates (-52.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	81	5	86

Merged error: 0b

Counts

86 → 5

regimes355.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms

sample1.4s

Algorithm

intervals

Results

453.0ms	995×	body	1280	valid
344.0ms	5550×	body	80	valid
229.0ms	824×	body	640	valid
80.0ms	415×	body	320	valid
32.0ms	216×	body	160	valid

Details

analyze375.0ms

sample52.0ms

simplify13.0ms

prune7.0ms

localize13.0ms

rewrite11.0ms

series85.0ms

simplify73.0ms

prune152.0ms

localize20.0ms

rewrite18.0ms

series328.0ms

simplify122.0ms

prune337.0ms

localize23.0ms

rewrite23.0ms

series222.0ms

simplify89.0ms

prune331.0ms

localize25.0ms

rewrite17.0ms

series101.0ms

simplify85.0ms

prune227.0ms

regimes355.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.4s

Profiling