Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample20.0ms

Algorithm

intervals

Results

6.0ms	61×	body	640	valid
4.0ms	130×	body	80	valid
3.0ms	40×	body	320	valid
1.0ms	25×	body	160	valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	649	11
1	649	11

prune4.0ms

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: 16.4b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1.0 (-.f64 x 1.0))
0.0b	(/.f64 1.0 (+.f64 x 1.0))
2.8b	(-.f64 (/.f64 1.0 (+.f64 x 1.0)) (/.f64 1.0 (-.f64 x 1.0)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity_binary64`
55×	`times-frac_binary64`
50×	`add-sqr-sqrt_binary64`
30×	`add-cube-cbrt_binary64`
25×	`distribute-lft-out--_binary64`
10×	`distribute-lft-out_binary64`
9×	`associate-/r*_binary64`
8×	`difference-of-squares_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64`
5×	`add-log-exp_binary64`
4×	`div-inv_binary64`
3×	`pow1_binary64` `flip--_binary64`
2×	`flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `frac-sub_binary64`

Counts

3 → 101

Calls

3 calls:

8.0ms	(/.f64 1.0 (-.f64 x 1.0))
5.0ms	(/.f64 1.0 (+.f64 x 1.0))
25.0ms	(-.f64 (/.f64 1.0 (+.f64 x 1.0)) (/.f64 1.0 (-.f64 x 1.0)))

series16.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(/.f64 1.0 (-.f64 x 1.0))
2.0ms	(/.f64 1.0 (+.f64 x 1.0))
11.0ms	(-.f64 (/.f64 1.0 (+.f64 x 1.0)) (/.f64 1.0 (-.f64 x 1.0)))

simplify73.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4895	1239
1	4895	1239

prune101.0ms

Filtered

80 candidates to 110 candidates (-37.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	109	2	111

Merged error: 0.7b

Counts

111 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (+.f64 1.0 x) (-.f64 x 1.0))
0.7b	(/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

9.0ms	(*.f64 (+.f64 1.0 x) (-.f64 x 1.0))
13.0ms	(/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0)))

series27.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(*.f64 (+.f64 1.0 x) (-.f64 x 1.0))
6.0ms	(/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0)))

simplify31.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5363	920

prune75.0ms

Filtered

47 candidates to 70 candidates (-48.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	67	5	72

Merged error: 0.0b

Counts

72 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1.0 (+.f64 1.0 x))
0.1b	(/.f64 (.f64 (.f64 1.0 -2) (/.f64 1.0 (+.f64 1.0 x))) (-.f64 x 1.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`add-sqr-sqrt_binary64` `times-frac_binary64`
13×	`add-cube-cbrt_binary64`
9×	`associate-/r*_binary64`
8×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`distribute-lft-out_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64`
1×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `associate-*r/_binary64` `flip--_binary64` `flip-+_binary64`

Counts

2 → 67

Calls

2 calls:

5.0ms	(/.f64 1.0 (+.f64 1.0 x))
13.0ms	(/.f64 (.f64 (.f64 1.0 -2) (/.f64 1.0 (+.f64 1.0 x))) (-.f64 x 1.0))

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/.f64 1.0 (+.f64 1.0 x))
6.0ms	(/.f64 (.f64 (.f64 1.0 -2) (/.f64 1.0 (+.f64 1.0 x))) (-.f64 x 1.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4979	860
1	4979	860

prune75.0ms

Filtered

50 candidates to 73 candidates (-46.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	72	6	78

Merged error: 0.0b

Counts

78 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (-.f64 x 1.0)) (cbrt.f64 (-.f64 x 1.0)))
0.3b	(cbrt.f64 (-.f64 x 1.0))
0.3b	(cbrt.f64 (-.f64 x 1.0))
0.3b	(cbrt.f64 (-.f64 x 1.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
7×	`difference-of-squares_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 → 101

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (-.f64 x 1.0)) (cbrt.f64 (-.f64 x 1.0)))
3.0ms	(cbrt.f64 (-.f64 x 1.0))
3.0ms	(cbrt.f64 (-.f64 x 1.0))
3.0ms	(cbrt.f64 (-.f64 x 1.0))

series37.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (-.f64 x 1.0)) (cbrt.f64 (-.f64 x 1.0)))
8.0ms	(cbrt.f64 (-.f64 x 1.0))
8.0ms	(cbrt.f64 (-.f64 x 1.0))
10.0ms	(cbrt.f64 (-.f64 x 1.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4994	1278
1	4994	1278

prune149.0ms

Filtered

86 candidates to 113 candidates (-31.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	113	6	119

Merged error: 0.0b

Counts

119 → 6

regimes37.0ms

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	22	13
1	22	13

end0.0ms

sample551.0ms

Algorithm

intervals

Results

205.0ms	1903×	body	640	valid
119.0ms	4260×	body	80	valid
98.0ms	1227×	body	320	valid
35.0ms	610×	body	160	valid

Details

analyze4.0ms

sample20.0ms

simplify52.0ms

prune4.0ms

localize6.0ms

rewrite43.0ms

series16.0ms

simplify73.0ms

prune101.0ms

localize7.0ms

rewrite25.0ms

series27.0ms

simplify31.0ms

prune75.0ms

localize10.0ms

rewrite21.0ms

series9.0ms

simplify40.0ms

prune75.0ms

localize13.0ms

rewrite25.0ms

series37.0ms

simplify40.0ms

prune149.0ms

regimes37.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample551.0ms

Profiling