Details

analyze2.0s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample106.0ms

Algorithm

intervals

Results

40.0ms	412×	body	80	invalid
21.0ms	256×	body	80	valid

simplify398.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (395.0ms)

Iter	Nodes	Cost
0	4955	29
1	4955	29

prune13.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 12.1b

Counts

2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (.f64 c t) (.f64 i y))
4.4b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
4.9b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.1b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-r_binary64` `associate-l_binary64`
7×	`sub-neg_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
4×	`flip3--_binary64` `flip--_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`diff-log_binary64`

Counts

4 → 77

Calls

4 calls:

4.0ms	(-.f64 (.f64 c t) (.f64 i y))
7.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(-.f64 (.f64 c t) (.f64 i y))
25.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
23.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
22.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))

simplify52.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4926	937
1	4926	937

prune243.0ms

Filtered

65 candidates to 89 candidates (-36.9%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	67	22	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	22	90

Merged error: 8.9b

Counts

90 → 22

localize25.0ms

Local error

Found 4 expressions with local error:

5.1b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
5.2b	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
5.2b	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
5.2b	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`cbrt-div_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 61

Calls

4 calls:

7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
6.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))

series149.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
42.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
43.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
41.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4954	897
1	4954	897

prune212.0ms

Filtered

62 candidates to 73 candidates (-17.7%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	21	21
Picked	1	0	1
Done	0	0	0
Total	72	23	95

Merged error: 8.9b

Counts

95 → 23

localize24.0ms

Local error

Found 4 expressions with local error:

5.1b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
5.2b	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
5.2b	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
5.2b	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`cbrt-div_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 61

Calls

4 calls:

9.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))

series148.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
43.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
41.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
41.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4954	897
1	4954	897

prune224.0ms

Filtered

62 candidates to 73 candidates (-17.7%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	22	22
Picked	0	1	1
Done	0	0	0
Total	71	25	96

Merged error: 8.9b

Counts

96 → 25

localize25.0ms

Local error

Found 4 expressions with local error:

4.9b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
6.9b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
6.9b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
6.9b	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`cbrt-div_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 61

Calls

4 calls:

7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))

series149.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
43.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
40.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))
44.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))

simplify46.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4981	897
1	4981	897

prune88.0ms

Filtered

65 candidates to 73 candidates (-12.3%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	23	23
Picked	1	0	1
Done	0	1	1
Total	70	28	98

Merged error: 8.9b

Counts

98 → 28

regimes2.4s

Accuracy

10.3% (3.4b remaining)

Error of 11.7b against oracle of 8.3b and baseline of 12.1b

bsearch105.0ms

Steps

Iters	Range		Point
8	1.714810582894924e-232	1.4676860740756743e-228	9.006227616143212e-231
9	-1.4455192628481394e-239	-1.0369455318587249e-246	-1.2994040449216765e-243

simplify15.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	684	112
1	684	112

end0.0ms

sample2.6s

Algorithm

intervals

Results

931.0ms	10831×	body	80	invalid
666.0ms	8000×	body	80	valid

Details

analyze2.0s

sample106.0ms

simplify398.0ms

prune13.0ms

localize25.0ms

rewrite27.0ms

series83.0ms

simplify52.0ms

prune243.0ms

localize25.0ms

rewrite23.0ms

series149.0ms

simplify45.0ms

prune212.0ms

localize24.0ms

rewrite23.0ms

series148.0ms

simplify44.0ms

prune224.0ms

localize25.0ms

rewrite21.0ms

series149.0ms

simplify46.0ms

prune88.0ms

regimes2.4s

bsearch105.0ms

simplify15.0ms

end0.0ms

sample2.6s

Profiling