Details

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
62.5%	37.5%	0%	4
81.2%	18.7%	0%	5
90.6%	9.4%	0%	6
95.3%	4.7%	0%	7
97.6%	2.3%	0%	8
98.8%	1.2%	0%	9
99.4%	0.6%	0%	10
99.7%	0.3%	0%	11
99.8%	0.1%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

sample18.0ms

Algorithm

intervals

Results

6.0ms	67×	body	640	valid
3.0ms	132×	body	80	valid
2.0ms	30×	body	320	valid
1.0ms	27×	body	160	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	74	13
1	74	13

prune7.0ms

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: 13.5b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
3.4b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64`
39×	`add-sqr-sqrt_binary64`
36×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
10×	`distribute-lft-out--_binary64`
9×	`difference-of-squares_binary64`
7×	`distribute-lft-out_binary64`
6×	`add-exp-log_binary64`
5×	`div-inv_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `associate-/l*_binary64`
2×	`associate-/r/_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `flip--_binary64` `pow-flip_binary64` `flip-+_binary64` `frac-sub_binary64`

Counts

2 → 68

Calls

2 calls:

6.0ms	(/.f64 1 (+.f64 x 1))
21.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

series23.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(/.f64 1 (+.f64 x 1))
14.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

simplify113.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4846	1178
1	4846	1178

prune46.0ms

Filtered

45 candidates to 74 candidates (-64.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	3	75

Merged error: 0.5b

Counts

75 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.6b	(/.f64 -1 (*.f64 x (+.f64 1 x)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `associate-/l_binary64` `times-frac_binary64`
2×	`cbrt-undiv_binary64` `associate-*r/_binary64` `associate-/r/_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip-+_binary64`

Counts

1 → 23

Calls

1 calls:

7.0ms

(/.f64 -1 (*.f64 x (+.f64 1 x)))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(/.f64 -1 (*.f64 x (+.f64 1 x)))

simplify66.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5790	332

prune21.0ms

Filtered

19 candidates to 26 candidates (-36.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	25	4	29

Merged error: 0.0b

Counts

29 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (/.f64 -1 x) (+.f64 1 x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac_binary64`
78×	`*-un-lft-identity_binary64`
50×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
14×	`distribute-lft-out_binary64`
13×	`associate-/l*_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
4×	`associate-/r*_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/r/_binary64`
1×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`

Counts

1 → 86

Calls

1 calls:

9.0ms

(/.f64 (/.f64 -1 x) (+.f64 1 x))

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

(/.f64 (/.f64 -1 x) (+.f64 1 x))

simplify104.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4916	1866
1	4916	1866

prune66.0ms

Filtered

63 candidates to 89 candidates (-41.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	88	5	93

Merged error: 0.0b

Counts

93 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (/.f64 -1 x)))
0.5b	(cbrt.f64 (/.f64 -1 x))
0.5b	(cbrt.f64 (/.f64 -1 x))
0.5b	(cbrt.f64 (/.f64 -1 x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod_binary64`
81×	`add-sqr-sqrt_binary64`
69×	`times-frac_binary64`
57×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
16×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `unswap-sqr_binary64`
7×	`cbrt-div_binary64` `div-inv_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 144

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (/.f64 -1 x)))
2.0ms	(cbrt.f64 (/.f64 -1 x))
2.0ms	(cbrt.f64 (/.f64 -1 x))
3.0ms	(cbrt.f64 (/.f64 -1 x))

series396.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(*.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (/.f64 -1 x)))
93.0ms	(cbrt.f64 (/.f64 -1 x))
91.0ms	(cbrt.f64 (/.f64 -1 x))
94.0ms	(cbrt.f64 (/.f64 -1 x))

simplify97.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5283	2411

prune169.0ms

Filtered

120 candidates to 156 candidates (-30.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	156	5	161

Merged error: 0.0b

Counts

161 → 5

regimes13.0ms

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	10	10
1	10	10

end0.0ms

sample509.0ms

Algorithm

intervals

Results

190.0ms	2000×	body	640	valid
105.0ms	4173×	body	80	valid
90.0ms	1175×	body	320	valid
31.0ms	652×	body	160	valid
0.0ms	3×	body	80	invalid

Details

analyze5.0ms

sample18.0ms

simplify15.0ms

prune7.0ms

localize5.0ms

rewrite30.0ms

series23.0ms

simplify113.0ms

prune46.0ms

localize4.0ms

rewrite8.0ms

series10.0ms

simplify66.0ms

prune21.0ms

localize4.0ms

rewrite14.0ms

series12.0ms

simplify104.0ms

prune66.0ms

localize8.0ms

rewrite28.0ms

series396.0ms

simplify97.0ms

prune169.0ms

regimes13.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample509.0ms

Profiling