Details

analyze1.3s

Algorithm

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

sample158.0ms

Algorithm

intervals

Results

94.0ms	103×	body	1280	valid
39.0ms	90×	body	640	valid
10.0ms	44×	body	320	valid
4.0ms	256×	pre	80	true
2.0ms	13×	body	160	valid
0.0ms	6×	body	80	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	44	9
1	44	9

prune2.0ms

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: 62.2b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
3.9b	(log.f64 (+.f64 1 x))
3.9b	(log.f64 (-.f64 1 x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`times-frac_binary64`
15×	`pow1_binary64` `add-cube-cbrt_binary64`
12×	`log-pow_binary64`
10×	`log-prod_binary64`
7×	`add-exp-log_binary64`
6×	`log-div_binary64`
5×	`add-cbrt-cube_binary64`
4×	`associate-/r_binary64` `associate-/l_binary64`
3×	`add-log-exp_binary64`
2×	`flip3--_binary64` `rem-log-exp_binary64` `div-sub_binary64` `difference-of-squares_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

3 → 70

Calls

3 calls:

7.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
3.0ms	(log.f64 (+.f64 1 x))
4.0ms	(log.f64 (-.f64 1 x))

series17.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
3.0ms	(log.f64 (+.f64 1 x))
3.0ms	(log.f64 (-.f64 1 x))

simplify42.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5025	988

prune85.0ms

Filtered

55 candidates to 79 candidates (-43.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	4	80

Merged error: 0.1b

Counts

80 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 x x) 1/2)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `associate-l_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 (*.f64 x x) 1/2)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(*.f64 (*.f64 x x) 1/2)

simplify43.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4976	123
1	4976	123

prune17.0ms

Filtered

12 candidates to 22 candidates (-83.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	22	4	26

Merged error: 0.1b

Counts

26 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x))))
1.7b	(log.f64 (-.f64 1 (*.f64 x x)))
3.9b	(log.f64 (-.f64 1 x))
3.9b	(log.f64 (-.f64 1 x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64`
38×	`add-sqr-sqrt_binary64`
36×	`pow1_binary64`
32×	`log-pow_binary64` `times-frac_binary64`
22×	`distribute-lft-out--_binary64`
21×	`add-cube-cbrt_binary64`
17×	`log-prod_binary64`
11×	`difference-of-squares_binary64`
9×	`add-exp-log_binary64`
8×	`associate-/r*_binary64` `log-div_binary64`
6×	`add-cbrt-cube_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`add-log-exp_binary64` `associate-/l*_binary64`
3×	`rem-log-exp_binary64`
2×	`associate-/r/_binary64` `div-sub_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 110

Calls

4 calls:

10.0ms	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x))))
3.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
4.0ms	(log.f64 (-.f64 1 x))
4.0ms	(log.f64 (-.f64 1 x))

series25.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x))))
6.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
3.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (-.f64 1 x))

simplify51.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4938	2071
1	4938	2071

prune109.0ms

Filtered

77 candidates to 122 candidates (-58.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	123	3	126

Merged error: 0.0b

Counts

126 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (pow.f64 x 6) -1/3)
3.9b	(log.f64 (-.f64 1 x))
3.9b	(log.f64 (-.f64 1 x))
27.9b	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (+.f64 (.f64 (pow.f64 x 6) -1/3) (-.f64 (.f64 (pow.f64 x 4) -1/2) (*.f64 x x))) (log.f64 (-.f64 1 x))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
24×	`times-frac_binary64`
21×	`add-cube-cbrt_binary64`
18×	`pow1_binary64`
14×	`log-pow_binary64`
13×	`add-exp-log_binary64`
12×	`log-prod_binary64` `distribute-lft-out--_binary64`
9×	`difference-of-squares_binary64`
8×	`add-cbrt-cube_binary64`
7×	`associate-l_binary64`
6×	`associate-/r*_binary64` `log-div_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `unpow-prod-down_binary64` `associate-/l*_binary64` `flip--_binary64`
3×	`associate-r_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`rem-log-exp_binary64` `sqr-pow_binary64` `associate-/r/_binary64` `div-sub_binary64`
1×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 109

Calls

4 calls:

5.0ms	(*.f64 (pow.f64 x 6) -1/3)
4.0ms	(log.f64 (-.f64 1 x))
4.0ms	(log.f64 (-.f64 1 x))
16.0ms	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (+.f64 (.f64 (pow.f64 x 6) -1/3) (-.f64 (.f64 (pow.f64 x 4) -1/2) (*.f64 x x))) (log.f64 (-.f64 1 x))))

series21.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(*.f64 (pow.f64 x 6) -1/3)
3.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (-.f64 1 x))
10.0ms	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (+.f64 (.f64 (pow.f64 x 6) -1/3) (-.f64 (.f64 (pow.f64 x 4) -1/2) (*.f64 x x))) (log.f64 (-.f64 1 x))))

simplify60.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5098	2414

prune150.0ms

Filtered

81 candidates to 121 candidates (-49.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	120	4	124

Merged error: 0b

Counts

124 → 4

regimes50.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	9
1	52	9

end0.0ms

sample5.1s

Algorithm

intervals

Results

3.2s	3465×	body	1280	valid
1.1s	2489×	body	640	valid
284.0ms	1218×	body	320	valid
145.0ms	8000×	pre	80	true
86.0ms	630×	body	160	valid
12.0ms	198×	body	80	valid

Details

analyze1.3s

sample158.0ms

simplify6.0ms

prune2.0ms

localize6.0ms

rewrite16.0ms

series17.0ms

simplify42.0ms

prune85.0ms

localize5.0ms

rewrite6.0ms

series3.0ms

simplify43.0ms

prune17.0ms

localize8.0ms

rewrite24.0ms

series25.0ms

simplify51.0ms

prune109.0ms

localize14.0ms

rewrite32.0ms

series21.0ms

simplify60.0ms

prune150.0ms

regimes50.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample5.1s

Profiling