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

sample17.0ms

Algorithm

intervals

Results

7.0ms	235×	body	80	valid
1.0ms	10×	body	320	valid
1.0ms	6×	body	640	valid
1.0ms	17×	body	80	invalid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	160	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune4.0ms

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

localize6.0ms

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)))

series216.0ms

Counts

1 → 3

Calls

1 calls:

216.0ms

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

simplify77.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5459	315

prune22.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	24	5	29

Merged error: 0b

Counts

29 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 d1 (+.f64 3 (+.f64 d2 d3)))) (cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3)))))
0.5b	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))
0.5b	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))
0.5b	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 3 (+.f64 d2 d3)))) (cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3)))))
7.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))
6.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))
9.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))

series704.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 3 (+.f64 d2 d3)))) (cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3)))))
159.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))
163.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))
164.0ms	(cbrt.f64 (*.f64 d1 (+.f64 3 (+.f64 d2 d3))))

simplify138.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4912	1852
1	4912	1852

prune98.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0b

Counts

89 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 9 (*.f64 (+.f64 d2 d3) (+.f64 d2 d3)))
0.0b	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
7.6b	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
12.2b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

4 → 108

Calls

4 calls:

3.0ms	(-.f64 9 (*.f64 (+.f64 d2 d3) (+.f64 d2 d3)))
9.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
6.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
11.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(-.f64 9 (*.f64 (+.f64 d2 d3) (+.f64 d2 d3)))
14.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
72.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
122.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))

simplify85.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5004	2110

prune86.0ms

Filtered

81 candidates to 120 candidates (-48.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	120	5	125

Merged error: 0b

Counts

125 → 5

localize18.0ms

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)))
5.9b	(*.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)))
23.9b	(/.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)))))

rewrite53.0ms

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)))
10.0ms	(*.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)))
20.0ms	(/.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)))))

series460.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 3 (+.f64 d2 d3))
33.0ms	(-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))
141.0ms	(*.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)))
267.0ms	(/.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)))))

simplify102.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4950	3077
1	4950	3077

prune117.0ms

Filtered

86 candidates to 119 candidates (-38.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	119	5	124

Merged error: 0b

Counts

124 → 5

regimes38.0ms

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

sample475.0ms

Algorithm

intervals

Results

229.0ms	7479×	body	80	valid
23.0ms	202×	body	640	valid
21.0ms	685×	body	80	invalid
12.0ms	90×	body	1280	valid
11.0ms	137×	body	320	valid
5.0ms	92×	body	160	valid

Details

analyze293.0ms

sample17.0ms

simplify13.0ms

prune4.0ms

localize6.0ms

rewrite9.0ms

series216.0ms

simplify77.0ms

prune22.0ms

localize10.0ms

rewrite31.0ms

series704.0ms

simplify138.0ms

prune98.0ms

localize9.0ms

rewrite33.0ms

series234.0ms

simplify85.0ms

prune86.0ms

localize18.0ms

rewrite53.0ms

series460.0ms

simplify102.0ms

prune117.0ms

regimes38.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample475.0ms

Profiling