Details

analyze383.0ms

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

sample49.0ms

Algorithm

intervals

Results

14.0ms	30×	body	1280	valid
12.0ms	32×	body	640	valid
11.0ms	182×	body	80	valid
1.0ms	7×	body	320	valid
1.0ms	5×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

prune2.0ms

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

rewrite17.0ms

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` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 43

Calls

3 calls:

8.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
4.0ms	(+.f64 x (sin.f64 y))
5.0ms	(*.f64 z (cos.f64 y))

series26.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
5.0ms	(+.f64 x (sin.f64 y))
8.0ms	(*.f64 z (cos.f64 y))

simplify68.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5008	398

prune44.0ms

Filtered

37 candidates to 52 candidates (-40.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	45	7	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	8	53

Merged error: 0.0b

Counts

53 → 8

localize14.0ms

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))

rewrite14.0ms

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

series71.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
15.0ms	(cbrt.f64 (cos.f64 y))
18.0ms	(cbrt.f64 (cos.f64 y))
15.0ms	(cbrt.f64 (cos.f64 y))

simplify53.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5054	469

prune51.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	84	9	93

Merged error: 0.0b

Counts

93 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))
0.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 5)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 57

Calls

4 calls:

2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
5.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 5)

series74.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 (cos.f64 y))
15.0ms	(cbrt.f64 (cos.f64 y))
15.0ms	(cbrt.f64 (cos.f64 y))
29.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 5)

simplify83.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4886	458
1	4886	458

prune51.0ms

Filtered

53 candidates to 69 candidates (-30.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	69	9	78

Merged error: 0.0b

Counts

78 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (*.f64 z (cos.f64 y)))
0.5b	(cbrt.f64 (*.f64 z (cos.f64 y)))
0.5b	(cbrt.f64 (*.f64 z (cos.f64 y)))
0.5b	(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

3.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
5.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
6.0ms	(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y))))

series108.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
23.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
23.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
35.0ms	(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y))))

simplify54.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5057	440

prune31.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	68	11	79

Merged error: 0b

Counts

79 → 11

regimes223.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

458.0ms	966×	body	1280	valid
355.0ms	5626×	body	80	valid
233.0ms	803×	body	640	valid
78.0ms	402×	body	320	valid
28.0ms	202×	body	160	valid
2.0ms	1×	body	2560	valid

Details

analyze383.0ms

sample49.0ms

simplify6.0ms

prune2.0ms

localize9.0ms

rewrite17.0ms

series26.0ms

simplify68.0ms

prune44.0ms

localize14.0ms

rewrite14.0ms

series71.0ms

simplify53.0ms

prune51.0ms

localize16.0ms

rewrite11.0ms

series74.0ms

simplify83.0ms

prune51.0ms

localize14.0ms

rewrite19.0ms

series108.0ms

simplify54.0ms

prune31.0ms

regimes223.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling