Details

analyze363.0ms

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

sample41.0ms

Algorithm

intervals

Results

14.0ms	40×	body	1024	valid
11.0ms	181×	body	128	valid
5.0ms	24×	body	512	valid
2.0ms	11×	body	256	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	14
1	20	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

localize8.0ms

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))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp_binary64`
6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

2 → 31

Calls

2 calls:

7.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
4.0ms	(*.f64 z (cos.f64 y))

series141.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
63.0ms	(*.f64 z (cos.f64 y))

simplify73.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5041	480

prune31.0ms

Filtered

26 candidates to 37 candidates (-42.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	32	5	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	5	38

Merged error: 0.0b

Counts

38 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
7×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
5×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`sum-log_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-+r+_binary64` `*-commutative_binary64`

Counts

3 → 43

Calls

3 calls:

5.0ms	(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
7.0ms	(+.f64 x (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
4.0ms	(*.f64 z (cos.f64 y))

series212.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y))
74.0ms	(+.f64 x (+.f64 (*.f64 z (cos.f64 y)) (sin.f64 y)))
53.0ms	(*.f64 z (cos.f64 y))

simplify48.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4964	726
1	4964	726

prune31.0ms

Filtered

37 candidates to 52 candidates (-40.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	51	6	57

Merged error: 0.0b

Counts

57 → 6

localize12.0ms

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`
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:

7.0ms	(*.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))
2.0ms	(cbrt.f64 (cos.f64 y))

series509.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
115.0ms	(cbrt.f64 (cos.f64 y))
110.0ms	(cbrt.f64 (cos.f64 y))
121.0ms	(cbrt.f64 (cos.f64 y))

simplify79.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5637	772

prune59.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

localize19.0ms

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))

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:

7.0ms	(*.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))
2.0ms	(cbrt.f64 (cos.f64 y))

series526.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
110.0ms	(cbrt.f64 (cos.f64 y))
126.0ms	(cbrt.f64 (cos.f64 y))
114.0ms	(cbrt.f64 (cos.f64 y))

simplify80.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5637	772

prune55.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

regimes50.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms

sample1.2s

Algorithm

intervals

Results

449.0ms	1255×	body	1024	valid
362.0ms	5704×	body	128	valid
145.0ms	699×	body	512	valid
46.0ms	339×	body	256	valid
3.0ms	3×	body	2048	valid

Details

analyze363.0ms

sample41.0ms

simplify8.0ms

prune1.0ms

localize8.0ms

rewrite14.0ms

series141.0ms

simplify73.0ms

prune31.0ms

localize9.0ms

rewrite20.0ms

series212.0ms

simplify48.0ms

prune31.0ms

localize12.0ms

rewrite18.0ms

series509.0ms

simplify79.0ms

prune59.0ms

localize19.0ms

rewrite19.0ms

series526.0ms

simplify80.0ms

prune55.0ms

regimes50.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.2s

Profiling