Details

analyze2.1s

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

sample89.0ms

Algorithm

intervals

Results

29.0ms	296×	body	80	invalid
21.0ms	256×	body	80	valid

simplify393.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (390.0ms)

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: 11.6b

Counts

2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 y z) (.f64 t a))
4.3b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.0b	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
5.6b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

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

series74.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(-.f64 (.f64 y z) (.f64 t a))
22.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
20.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 t i)))
20.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

simplify50.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4937	937
1	4937	937

prune251.0ms

Filtered

68 candidates to 89 candidates (-30.9%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	68	21	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	21	90

Merged error: 7.5b

Counts

90 → 21

localize24.0ms

Local error

Found 4 expressions with local error:

2.7b	(.f64 b (neg.f64 (.f64 i t)))
4.3b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.6b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
7.9b	(.f64 b (.f64 c z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
15×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64`
12×	`associate-l_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `associate-r/_binary64` `-commutative_binary64`
3×	`unswap-sqr_binary64`
2×	`flip3--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64`
1×	`distribute-rgt-neg-out_binary64` `neg-mul-1_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`

Counts

4 → 84

Calls

4 calls:

5.0ms	(.f64 b (neg.f64 (.f64 i t)))
8.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
7.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
5.0ms	(.f64 b (.f64 c z))

series53.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(.f64 b (neg.f64 (.f64 i t)))
20.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
20.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
6.0ms	(.f64 b (.f64 c z))

simplify51.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5221	808

prune208.0ms

Filtered

67 candidates to 96 candidates (-43.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	5	15	20
Picked	1	0	1
Done	0	0	0
Total	98	19	117

Merged error: 5.4b

Counts

117 → 19

localize24.0ms

Local error

Found 4 expressions with local error:

2.7b	(.f64 b (neg.f64 (.f64 i t)))
4.2b	(.f64 (.f64 b c) z)
4.3b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
5.6b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
15×	`pow1_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`associate-l_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `associate-r/_binary64` `-commutative_binary64`
3×	`unswap-sqr_binary64`
2×	`flip3--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64`
1×	`distribute-rgt-neg-out_binary64` `neg-mul-1_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`

Counts

4 → 84

Calls

4 calls:

5.0ms	(.f64 b (neg.f64 (.f64 i t)))
5.0ms	(.f64 (.f64 b c) z)
7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
7.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(.f64 b (neg.f64 (.f64 i t)))
6.0ms	(.f64 (.f64 b c) z)
23.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
20.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))

simplify53.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5250	809

prune205.0ms

Filtered

70 candidates to 96 candidates (-37.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	2	16	18
Picked	1	0	1
Done	0	0	0
Total	96	19	115

Merged error: 5.1b

Counts

115 → 19

localize33.0ms

Local error

Found 4 expressions with local error:

5.6b	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
5.9b	(cbrt.f64 (.f64 j (-.f64 (.f64 c a) (*.f64 y i))))
5.9b	(cbrt.f64 (.f64 j (-.f64 (.f64 c a) (*.f64 y i))))
5.9b	(cbrt.f64 (.f64 j (-.f64 (.f64 c a) (*.f64 y i))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-*r/_binary64` `add-sqr-sqrt_binary64`
6×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_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` `cbrt-prod_binary64`
2×	`sub-neg_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 → 55

Calls

4 calls:

7.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
5.0ms	(cbrt.f64 (.f64 j (-.f64 (.f64 c a) (*.f64 y i))))
5.0ms	(cbrt.f64 (.f64 j (-.f64 (.f64 c a) (*.f64 y i))))
5.0ms	(cbrt.f64 (.f64 j (-.f64 (.f64 c a) (*.f64 y i))))

series149.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(.f64 j (-.f64 (.f64 c a) (*.f64 y i)))
42.0ms	(cbrt.f64 (.f64 j (-.f64 (.f64 c a) (*.f64 y i))))
46.0ms	(cbrt.f64 (.f64 j (-.f64 (.f64 c a) (*.f64 y i))))
42.0ms	(cbrt.f64 (.f64 j (-.f64 (.f64 c a) (*.f64 y i))))

simplify52.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5216	828

prune70.0ms

Filtered

56 candidates to 67 candidates (-19.6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	0	18	18
Picked	1	0	1
Done	0	0	0
Total	66	20	86

Merged error: 5.1b

Counts

86 → 20

regimes2.0s

Accuracy

9.4% (5.9b remaining)

Error of 11.6b against oracle of 5.7b and baseline of 12.2b

bsearch90.0ms

Steps

Iters	Range		Point
5	5.368646523084268e-231	1.7832562348962469e-230	1.7560670046866383e-230
9	-1.3919959028787385e-225	-1.1010669508576862e-234	-9.919349529448949e-226

simplify20.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	850	101
1	850	101

end0.0ms

sample2.7s

Algorithm

intervals

Results

970.0ms	11380×	body	80	invalid
681.0ms	8000×	body	80	valid

Details

analyze2.1s

sample89.0ms

simplify393.0ms

prune13.0ms

localize27.0ms

rewrite27.0ms

series74.0ms

simplify50.0ms

prune251.0ms

localize24.0ms

rewrite28.0ms

series53.0ms

simplify51.0ms

prune208.0ms

localize24.0ms

rewrite26.0ms

series56.0ms

simplify53.0ms

prune205.0ms

localize33.0ms

rewrite24.0ms

series149.0ms

simplify52.0ms

prune70.0ms

regimes2.0s

bsearch90.0ms

simplify20.0ms

end0.0ms

sample2.7s

Profiling