Details

analyze248.0ms

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

sample56.0ms

Algorithm

intervals

Results

25.0ms	72×	body	1024	valid
13.0ms	143×	body	128	valid
7.0ms	30×	body	512	valid
2.0ms	11×	body	256	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	159	14
1	159	14

prune1.0ms

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

localize9.0ms

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))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
5×	`add-log-exp_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

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))
4.0ms	(*.f64 x (cos.f64 y))

series245.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
63.0ms	(*.f64 z (sin.f64 y))
57.0ms	(*.f64 x (cos.f64 y))

simplify56.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4977	627
1	4977	627

prune49.0ms

Filtered

39 candidates to 56 candidates (-43.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	45	11	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	11	57

Merged error: 0.0b

Counts

57 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.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))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.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))

series555.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
131.0ms	(cbrt.f64 (cos.f64 y))
124.0ms	(cbrt.f64 (cos.f64 y))
115.0ms	(cbrt.f64 (cos.f64 y))

simplify79.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5637	772

prune71.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	83	13	96

Merged error: 0.0b

Counts

96 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log_binary64`
22×	`add-sqr-sqrt_binary64`
19×	`unpow-prod-down_binary64`
18×	`associate-r_binary64`
16×	`prod-exp_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`add-cbrt-cube_binary64`
9×	`pow-exp_binary64`
7×	`pow1_binary64` `cbrt-unprod_binary64`
6×	`unswap-sqr_binary64` `cbrt-prod_binary64`
5×	`pow-to-exp_binary64` `sqr-pow_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64`
3×	`pow-unpow_binary64` `unpow2_binary64`
2×	`unpow1/3_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `pow1/3_binary64` `pow-pow_binary64`

Counts

4 → 90

Calls

4 calls:

9.0ms	(*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
10.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
5.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

series364.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
60.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
24.0ms	(pow.f64 (cos.f64 y) 2)
126.0ms	(cbrt.f64 (cos.f64 y))

simplify91.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4899	984
1	4899	984

prune84.0ms

Filtered

63 candidates to 102 candidates (-61.9%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	100	15	115

Merged error: 0.0b

Counts

115 → 15

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
0.2b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 2))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
6×	`associate-r_binary64` `add-cbrt-cube_binary64` `unpow-prod-down_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`unpow2_binary64` `pow1/3_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `pow-pow_binary64` `associate-l_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 66

Calls

4 calls:

8.0ms	(.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
2.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))
3.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))

series386.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
22.0ms	(pow.f64 (cos.f64 y) 2)
120.0ms	(cbrt.f64 (cos.f64 y))
181.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))

simplify51.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5036	852

prune58.0ms

Filtered

53 candidates to 78 candidates (-47.2%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	3	10	13
Picked	0	1	1
Done	0	1	1
Total	79	14	93

Merged error: 0.0b

Counts

93 → 14

regimes121.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	27
1	44	27

end0.0ms

sample1.7s

Algorithm

intervals

Results

735.0ms	2014×	body	1024	valid
451.0ms	4503×	body	128	valid
219.0ms	1014×	body	512	valid
69.0ms	460×	body	256	valid
7.0ms	9×	body	2048	valid

Details

analyze248.0ms

sample56.0ms

simplify15.0ms

prune1.0ms

localize9.0ms

rewrite15.0ms

series245.0ms

simplify56.0ms

prune49.0ms

localize13.0ms

rewrite19.0ms

series555.0ms

simplify79.0ms

prune71.0ms

localize15.0ms

rewrite34.0ms

series364.0ms

simplify91.0ms

prune84.0ms

localize14.0ms

rewrite20.0ms

series386.0ms

simplify51.0ms

prune58.0ms

regimes121.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample1.7s

Profiling