Details

analyze293.0ms

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample19.0ms

Algorithm

intervals

Results

7.0ms	236×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	18×	body	80	invalid
1.0ms	5×	body	640	valid
0.0ms	6×	body	320	valid
0.0ms	4×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 d1 3.0) (.f64 d1 d2))
0.0b	(+.f64 (+.f64 (.f64 d1 3.0) (.f64 d1 d2)) (*.f64 d1 d3))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
3×	`distribute-lft-out_binary64`
2×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`associate-+l+_binary64`

Counts

2 → 26

Calls

2 calls:

4.0ms	(+.f64 (.f64 d1 3.0) (.f64 d1 d2))
7.0ms	(+.f64 (+.f64 (.f64 d1 3.0) (.f64 d1 d2)) (*.f64 d1 d3))

series16.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 (.f64 d1 3.0) (.f64 d1 d2))
9.0ms	(+.f64 (+.f64 (.f64 d1 3.0) (.f64 d1 d2)) (*.f64 d1 d3))

simplify43.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5072	283

prune41.0ms

Filtered

22 candidates to 32 candidates (-45.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d3 (+.f64 3.0 d2)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64` `add-sqr-sqrt_binary64`
3×	`pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

10.0ms

(*.f64 d1 (+.f64 d3 (+.f64 3.0 d2)))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(*.f64 d1 (+.f64 d3 (+.f64 3.0 d2)))

simplify57.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4963	218
1	4963	218

prune30.0ms

Filtered

15 candidates to 27 candidates (-80.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	3	0	3
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0b

Counts

31 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 d3 (+.f64 3.0 d2)))
0.3b	(cbrt.f64 (+.f64 d3 (+.f64 3.0 d2)))
0.4b	(*.f64 (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))) (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))))
0.4b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))) (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))))) (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity_binary64`
70×	`cbrt-div_binary64`
51×	`cbrt-prod_binary64`
35×	`flip3-+_binary64` `flip-+_binary64`
34×	`associate-*r/_binary64`
33×	`distribute-lft-out_binary64`
32×	`frac-times_binary64`
24×	`add-sqr-sqrt_binary64`
20×	`pow1_binary64`
16×	`associate-r_binary64` `add-cube-cbrt_binary64` `associate-*l/_binary64`
15×	`add-exp-log_binary64`
14×	`swap-sqr_binary64`
9×	`associate-l_binary64`
8×	`pow-prod-down_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
2×	`pow-prod-up_binary64` `pow-sqr_binary64` `*-commutative_binary64`
1×	`pow-plus_binary64` `pow2_binary64`

Counts

4 → 142

Calls

4 calls:

6.0ms	(cbrt.f64 (+.f64 d3 (+.f64 3.0 d2)))
5.0ms	(cbrt.f64 (+.f64 d3 (+.f64 3.0 d2)))
15.0ms	(*.f64 (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))) (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))))
28.0ms	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))) (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))))) (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))))

series77.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(cbrt.f64 (+.f64 d3 (+.f64 3.0 d2)))
19.0ms	(cbrt.f64 (+.f64 d3 (+.f64 3.0 d2)))
29.0ms	(*.f64 (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))) (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))))
10.0ms	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))) (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))))) (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))))

simplify66.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4963	2685
1	4963	2685

prune146.0ms

Filtered

90 candidates to 154 candidates (-71.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	154	4	158

Merged error: 0b

Counts

158 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

2.8b

(-.f64 (*.f64 d3 d3) (*.f64 (+.f64 3.0 d2) (+.f64 3.0 d2)))

6.2b

(*.f64 d1 (-.f64 (*.f64 d3 d3) (*.f64 (+.f64 3.0 d2) (+.f64 3.0 d2))))

18.3b

(/.f64 (*.f64 d1 (-.f64 (*.f64 d3 d3) (*.f64 (+.f64 3.0 d2) (+.f64 3.0 d2)))) (-.f64 d3 (+.f64 3.0 d2)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-/r*_binary64` `times-frac_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`flip3--_binary64` `associate-r_binary64` `associate-*r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
3×	`sub-neg_binary64` `associate-l_binary64`
2×	`associate-/l/_binary64` `associate--r+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

3 → 68

Calls

3 calls:

5.0ms

(-.f64 (*.f64 d3 d3) (*.f64 (+.f64 3.0 d2) (+.f64 3.0 d2)))

9.0ms

(*.f64 d1 (-.f64 (*.f64 d3 d3) (*.f64 (+.f64 3.0 d2) (+.f64 3.0 d2))))

12.0ms

(/.f64 (*.f64 d1 (-.f64 (*.f64 d3 d3) (*.f64 (+.f64 3.0 d2) (+.f64 3.0 d2)))) (-.f64 d3 (+.f64 3.0 d2)))

series70.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms

(-.f64 (*.f64 d3 d3) (*.f64 (+.f64 3.0 d2) (+.f64 3.0 d2)))

26.0ms

(*.f64 d1 (-.f64 (*.f64 d3 d3) (*.f64 (+.f64 3.0 d2) (+.f64 3.0 d2))))

35.0ms

(/.f64 (*.f64 d1 (-.f64 (*.f64 d3 d3) (*.f64 (+.f64 3.0 d2) (+.f64 3.0 d2)))) (-.f64 d3 (+.f64 3.0 d2)))

simplify32.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5157	1092

prune72.0ms

Filtered

56 candidates to 77 candidates (-37.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	77	4	81

Merged error: 0b

Counts

81 → 4

regimes137.0ms

Accuracy

0% (0.1b 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	10	7
1	10	7

end0.0ms

sample493.0ms

Algorithm

intervals

Results

237.0ms	7444×	body	80	valid
21.0ms	204×	body	640	valid
20.0ms	659×	body	80	invalid
14.0ms	175×	body	320	valid
12.0ms	88×	body	1280	valid
5.0ms	89×	body	160	valid

Details

analyze293.0ms

sample19.0ms

simplify6.0ms

prune9.0ms

localize7.0ms

rewrite12.0ms

series16.0ms

simplify43.0ms

prune41.0ms

localize5.0ms

rewrite11.0ms

series9.0ms

simplify57.0ms

prune30.0ms

localize9.0ms

rewrite62.0ms

series77.0ms

simplify66.0ms

prune146.0ms

localize10.0ms

rewrite28.0ms

series70.0ms

simplify32.0ms

prune72.0ms

regimes137.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample493.0ms

Profiling