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

sample89.0ms

Algorithm

intervals

Results

26.0ms	332×	body	80	invalid
20.0ms	256×	body	80	valid

simplify373.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (367.0ms)

Iter	Nodes	Cost
0	4955	29
1	4955	29

prune11.0ms

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: 12.3b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (.f64 b (-.f64 (.f64 c z) (.f64 i a))))
5.0b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
5.4b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
5.7b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
14×	`associate-*r/_binary64`
11×	`sub-neg_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`
8×	`flip3--_binary64` `flip--_binary64`
6×	`add-log-exp_binary64`
5×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`frac-sub_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
2×	`associate--r+_binary64` `associate--l+_binary64`
1×	`diff-log_binary64`

Counts

4 → 85

Calls

4 calls:

9.0ms	(-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (.f64 b (-.f64 (.f64 c z) (.f64 i a))))
7.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
6.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
7.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (.f64 b (-.f64 (.f64 c z) (.f64 i a))))
23.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
28.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
40.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

simplify45.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5173	1548

prune255.0ms

Filtered

77 candidates to 97 candidates (-26.0%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	73	24	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	24	98

Merged error: 7.9b

Counts

98 → 24

localize30.0ms

Local error

Found 4 expressions with local error:

5.7b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
6.9b	(cbrt.f64 (-.f64 (.f64 z c) (.f64 a i)))
6.9b	(cbrt.f64 (-.f64 (.f64 z c) (.f64 a i)))
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 z c) (.f64 a i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 z c) (.f64 a i)))
4.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))

series154.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
44.0ms	(cbrt.f64 (-.f64 (.f64 z c) (.f64 a i)))
42.0ms	(cbrt.f64 (-.f64 (.f64 z c) (.f64 a i)))
45.0ms	(cbrt.f64 (-.f64 (.f64 c z) (.f64 i a)))

simplify45.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4995	897
1	4995	897

prune226.0ms

Filtered

67 candidates to 73 candidates (-9.0%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	1	22	23
Picked	1	0	1
Done	0	0	0
Total	72	25	97

Merged error: 7.9b

Counts

97 → 25

localize29.0ms

Local error

Found 4 expressions with local error:

5.7b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
7.0b	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
7.0b	(cbrt.f64 (-.f64 (.f64 t c) (.f64 y i)))
7.0b	(cbrt.f64 (-.f64 (.f64 t c) (.f64 y i)))

rewrite22.0ms

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 t) (.f64 i y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 t c) (.f64 y i)))
6.0ms	(cbrt.f64 (-.f64 (.f64 t c) (.f64 y i)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
41.0ms	(cbrt.f64 (-.f64 (.f64 c t) (.f64 i y)))
44.0ms	(cbrt.f64 (-.f64 (.f64 t c) (.f64 y i)))
42.0ms	(cbrt.f64 (-.f64 (.f64 t c) (.f64 y i)))

simplify45.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5015	897

prune224.0ms

Filtered

63 candidates to 73 candidates (-15.9%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	1	23	24
Picked	1	0	1
Done	0	0	0
Total	72	26	98

Merged error: 7.9b

Counts

98 → 26

localize29.0ms

Local error

Found 4 expressions with local error:

5.7b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
6.3b	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 a i))))
6.3b	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 a i))))
6.3b	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 a 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 x (-.f64 (.f64 y z) (*.f64 t a)))
5.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 a i))))
5.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 a i))))
6.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 a i))))

series174.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))
51.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 a i))))
52.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 a i))))
49.0ms	(cbrt.f64 (.f64 b (-.f64 (.f64 z c) (*.f64 a i))))

simplify46.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5254	828

prune70.0ms

Filtered

59 candidates to 67 candidates (-13.6%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	25	25
Picked	1	0	1
Done	0	0	0
Total	67	26	93

Merged error: 7.9b

Counts

93 → 26

regimes2.2s

Accuracy

-4.8% (4.1b remaining)

Error of 12.3b against oracle of 8.1b and baseline of 12.1b

bsearch69.0ms

Steps

Iters	Range		Point
4	2.325961380890472e-208	4.075739402764228e-208	3.3107706184898416e-208
7	-1.347507180155637e-122	-3.6929323227213327e-124	-3.731049634329954e-124

simplify19.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	707	83
1	707	83

end0.0ms

sample2.6s

Algorithm

intervals

Results

926.0ms	11085×	body	80	invalid
672.0ms	8000×	body	80	valid

Details

analyze2.0s

sample89.0ms

simplify373.0ms

prune11.0ms

localize20.0ms

rewrite32.0ms

series179.0ms

simplify45.0ms

prune255.0ms

localize30.0ms

rewrite21.0ms

series154.0ms

simplify45.0ms

prune226.0ms

localize29.0ms

rewrite22.0ms

series150.0ms

simplify45.0ms

prune224.0ms

localize29.0ms

rewrite24.0ms

series174.0ms

simplify46.0ms

prune70.0ms

regimes2.2s

bsearch69.0ms

simplify19.0ms

end0.0ms

sample2.6s

Profiling