Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

sample41.0ms

Algorithm

intervals

Results

18.0ms	113×	body	1280	valid
7.0ms	73×	body	640	valid
3.0ms	256×	pre	80	true
3.0ms	36×	body	320	valid
1.0ms	29×	body	160	valid
0.0ms	5×	body	80	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	8	6
1	8	6

prune4.0ms

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: 58.9b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

7.0b	(-.f64 (exp.f64 x) 1)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_559`
4×	`*-un-lft-identity_binary64_574`
3×	`add-log-exp_binary64_539`
2×	`difference-of-squares_binary64_603`
1×	`flip3--_binary64_573` `add-cube-cbrt_binary64_545` `pow1_binary64_520` `add-cbrt-cube_binary64_546` `distribute-lft-out--_binary64_619` `diff-log_binary64_490` `sub-neg_binary64_578` `difference-of-sqr-1_binary64_604` `flip--_binary64_600` `add-exp-log_binary64_538`

Counts

1 → 15

Calls

1 calls:

4.0ms

(-.f64 (exp.f64 x) 1)

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(-.f64 (exp.f64 x) 1)

simplify44.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5019	196

prune60.0ms

Filtered

12 candidates to 18 candidates (-50.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	17	2	19

Merged error: 0.0b

Counts

19 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 1 (.f64 x (+.f64 1/2 (*.f64 x 1/6)))))
0.0b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.4b	(*.f64 x 1/6)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_559`
9×	`-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545` `associate-l_binary64_634` `pow1_binary64_520` `add-cbrt-cube_binary64_546` `associate-r*_binary64_633` `add-exp-log_binary64_538`
4×	`associate-*r/_binary64_635`
3×	`unswap-sqr_binary64_602` `cbrt-unprod_binary64_543` `*-commutative_binary64_642` `add-log-exp_binary64_539` `pow-prod-down_binary64_501` `prod-exp_binary64_525`
2×	`flip3-+_binary64_572` `flip-+_binary64_599` `distribute-lft-in_binary64_616` `distribute-rgt-in_binary64_617`

Counts

3 → 62

Calls

3 calls:

11.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 1/2 (*.f64 x 1/6)))))
6.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)

series65.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 1/2 (*.f64 x 1/6)))))
37.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
12.0ms	(*.f64 x 1/6)

simplify92.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4893	906
1	4893	906

prune473.0ms

Filtered

50 candidates to 71 candidates (-42.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	70	3	73

Merged error: 0.0b

Counts

73 → 3

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b	(*.f64 x 1/6)
0.4b	(*.f64 x 1/6)
0.4b	(*.f64 x 1/6)
0.4b	(*.f64 x 1/6)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_559`
12×	`-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545` `associate-l_binary64_634` `pow1_binary64_520` `add-cbrt-cube_binary64_546` `associate-r*_binary64_633` `add-exp-log_binary64_538`
4×	`unswap-sqr_binary64_602` `cbrt-unprod_binary64_543` `*-commutative_binary64_642` `add-log-exp_binary64_539` `pow-prod-down_binary64_501` `prod-exp_binary64_525`

Counts

4 → 72

Calls

4 calls:

7.0ms	(*.f64 x 1/6)
4.0ms	(*.f64 x 1/6)
4.0ms	(*.f64 x 1/6)
4.0ms	(*.f64 x 1/6)

series51.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(*.f64 x 1/6)
13.0ms	(*.f64 x 1/6)
12.0ms	(*.f64 x 1/6)
13.0ms	(*.f64 x 1/6)

simplify79.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5169	520

prune340.0ms

Filtered

52 candidates to 84 candidates (-61.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Merged error: 0.0b

Counts

87 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
0.0b	(pow.f64 (exp.f64 x) 2)
6.9b	(+.f64 (pow.f64 (exp.f64 x) 2) -1)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity_binary64_574`
32×	`add-sqr-sqrt_binary64_559` `times-frac_binary64_569`
24×	`difference-of-sqr--1_binary64_605`
20×	`add-cube-cbrt_binary64_545`
15×	`distribute-lft-out_binary64_618`
9×	`unpow-prod-down_binary64_509`
8×	`associate-/l*_binary64_638`
7×	`sqr-pow_binary64_606` `unpow2_binary64_517`
5×	`add-cbrt-cube_binary64_546` `add-exp-log_binary64_538` `add-log-exp_binary64_539`
4×	`pow1_binary64_520` `pow-pow_binary64_502` `associate-/r*_binary64_637`
3×	`exp-prod_binary64_528` `flip3-+_binary64_572` `flip-+_binary64_599` `pow-unpow_binary64_507`
2×	`associate-/r/_binary64_639` `associate-/l/_binary64_640`
1×	`pow-to-exp_binary64_499` `+-commutative_binary64_641` `div-inv_binary64_575` `pow-exp_binary64_498` `div-exp_binary64_527` `frac-2neg_binary64_567` `clear-num_binary64_577` `cbrt-undiv_binary64_544` `sum-log_binary64_489`

Counts

3 → 97

Calls

3 calls:

12.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
3.0ms	(pow.f64 (exp.f64 x) 2)
6.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)

series91.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
15.0ms	(pow.f64 (exp.f64 x) 2)
21.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)

simplify70.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5222	1795

prune206.0ms

Filtered

67 candidates to 106 candidates (-58.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	105	4	109

Merged error: 0.0b

Counts

109 → 4

regimes145.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	15	16

end0.0ms

sample1.2s

Algorithm

intervals

Results

570.0ms	3444×	body	1280	valid
262.0ms	2529×	body	640	valid
81.0ms	8000×	pre	80	true
81.0ms	1247×	body	320	valid
25.0ms	581×	body	160	valid
4.0ms	199×	body	80	valid

Details

analyze3.0ms

sample41.0ms

simplify11.0ms

prune4.0ms

localize5.0ms

rewrite5.0ms

series9.0ms

simplify44.0ms

prune60.0ms

localize10.0ms

rewrite22.0ms

series65.0ms

simplify92.0ms

prune473.0ms

localize29.0ms

rewrite21.0ms

series51.0ms

simplify79.0ms

prune340.0ms

localize10.0ms

rewrite25.0ms

series91.0ms

simplify70.0ms

prune206.0ms

regimes145.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling