Details

analyze304.0ms

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

sample25.0ms

Algorithm

intervals

Results

8.0ms	241×	body	80	valid
1.0ms	8×	body	640	valid
1.0ms	20×	body	80	invalid
0.0ms	4×	body	320	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune23.0ms

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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

rewrite9.0ms

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:

8.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

simplify92.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4974	315
1	4974	315

prune99.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Merged error: 0b

Counts

29 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
0.4b	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.4b	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.4b	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
5.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
5.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
5.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))

series287.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
66.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
66.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
73.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))

simplify84.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4997	2332
1	4997	2332

prune397.0ms

Filtered

80 candidates to 117 candidates (-46.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	117	4	121

Merged error: 0b

Counts

121 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
6.4b	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
16.2b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
12×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`add-cube-cbrt_binary64`
8×	`distribute-lft-out_binary64` `associate-r_binary64`
7×	`associate-l_binary64`
6×	`flip3-+_binary64` `associate-/r_binary64` `swap-sqr_binary64` `associate-r/_binary64` `times-frac_binary64` `flip-+_binary64`
4×	`distribute-lft-out--_binary64` `frac-times_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `sub-neg_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`pow-prod-up_binary64` `pow-plus_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `pow-sqr_binary64` `pow2_binary64`

Counts

3 → 94

Calls

3 calls:

15.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
7.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
12.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))

series200.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
69.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
119.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))

simplify54.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5154	1933

prune235.0ms

Filtered

60 candidates to 103 candidates (-71.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	103	4	107

Merged error: 0b

Counts

107 → 4

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 3 (+.f64 d2 d3))
0.0b	(-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))
4.3b	(*.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)))
25.0b	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-*r/_binary64`
28×	`flip3-+_binary64` `flip-+_binary64`
16×	`frac-sub_binary64`
14×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-cube-cbrt_binary64`
8×	`pow1_binary64` `associate-r_binary64` `frac-times_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64` `associate-*l/_binary64`
4×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sub-div_binary64`
3×	`associate-/r*_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate--r+_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `div-exp_binary64` `associate--l+_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-rgt-out--_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`

Counts

4 → 107

Calls

4 calls:

6.0ms	(*.f64 3 (+.f64 d2 d3))
11.0ms	(-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))
11.0ms	(*.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)))
23.0ms	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))))

series467.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 3 (+.f64 d2 d3))
32.0ms	(-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))
144.0ms	(*.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)))
272.0ms	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))))

simplify79.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5275	3103

prune336.0ms

Filtered

83 candidates to 119 candidates (-43.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	119	4	123

Merged error: 0b

Counts

123 → 4

regimes239.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms

sample787.0ms

Algorithm

intervals

Results

461.0ms	7468×	body	80	valid
27.0ms	222×	body	640	valid
23.0ms	727×	body	80	invalid
12.0ms	144×	body	320	valid
10.0ms	70×	body	1280	valid
5.0ms	96×	body	160	valid

Details

analyze304.0ms

sample25.0ms

simplify16.0ms

prune23.0ms

localize8.0ms

rewrite9.0ms

series25.0ms

simplify92.0ms

prune99.0ms

localize14.0ms

rewrite35.0ms

series287.0ms

simplify84.0ms

prune397.0ms

localize13.0ms

rewrite37.0ms

series200.0ms

simplify54.0ms

prune235.0ms

localize31.0ms

rewrite57.0ms

series467.0ms

simplify79.0ms

prune336.0ms

regimes239.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample787.0ms

Profiling