Details

analyze58.0ms

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	269	10
1	269	10

prune1.0ms

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(.f64 (.f64 x y) (-.f64 1 y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64` `difference-of-squares_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 25

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x y) (-.f64 1 y))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(*.f64 (*.f64 x y) (-.f64 1 y))

simplify72.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4985	312
1	4985	312

prune26.0ms

Filtered

16 candidates to 28 candidates (-75.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	22	6	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	7	29

Merged error: 0.0b

Counts

29 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (-.f64 1 y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

50×	`cbrt-prod_binary64`
44×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64`
11×	`pow1_binary64` `swap-sqr_binary64`
9×	`flip3--_binary64` `associate-r_binary64` `pow1/3_binary64` `associate-l_binary64` `distribute-lft-out--_binary64` `flip--_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 → 107

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
3.0ms	(cbrt.f64 (-.f64 1 y))
3.0ms	(cbrt.f64 (-.f64 1 y))
3.0ms	(cbrt.f64 (-.f64 1 y))

series111.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
27.0ms	(cbrt.f64 (-.f64 1 y))
30.0ms	(cbrt.f64 (-.f64 1 y))
28.0ms	(cbrt.f64 (-.f64 1 y))

simplify122.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4804	1690
1	4804	1690

prune105.0ms

Filtered

77 candidates to 119 candidates (-54.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	118	8	126

Merged error: 0.0b

Counts

126 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (-.f64 1 y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
20×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
8×	`cbrt-div_binary64` `add-cube-cbrt_binary64` `difference-of-squares_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 64

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 1 y))
6.0ms	(cbrt.f64 (-.f64 1 y))
3.0ms	(cbrt.f64 (-.f64 1 y))
3.0ms	(cbrt.f64 (-.f64 1 y))

series92.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt.f64 (-.f64 1 y))
23.0ms	(cbrt.f64 (-.f64 1 y))
22.0ms	(cbrt.f64 (-.f64 1 y))
24.0ms	(cbrt.f64 (-.f64 1 y))

simplify90.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5056	1024

prune128.0ms

Filtered

60 candidates to 76 candidates (-26.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	76	8	84

Merged error: 0.0b

Counts

84 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (-.f64 1 y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
20×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
8×	`cbrt-div_binary64` `add-cube-cbrt_binary64` `difference-of-squares_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 64

Calls

4 calls:

5.0ms	(cbrt.f64 (-.f64 1 y))
3.0ms	(cbrt.f64 (-.f64 1 y))
4.0ms	(cbrt.f64 (-.f64 1 y))
3.0ms	(cbrt.f64 (-.f64 1 y))

series102.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt.f64 (-.f64 1 y))
26.0ms	(cbrt.f64 (-.f64 1 y))
25.0ms	(cbrt.f64 (-.f64 1 y))
26.0ms	(cbrt.f64 (-.f64 1 y))

simplify79.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5056	1024

prune99.0ms

Filtered

60 candidates to 76 candidates (-26.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	76	8	84

Merged error: 0.0b

Counts

84 → 8

regimes51.0ms

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	20	10
1	20	10

end0.0ms

sample306.0ms

Algorithm

intervals

Results

176.0ms	8000×	body	80	valid
4.0ms	172×	body	80	invalid

Details

analyze58.0ms

sample15.0ms

simplify26.0ms

prune1.0ms

localize5.0ms

rewrite9.0ms

series32.0ms

simplify72.0ms

prune26.0ms

localize8.0ms

rewrite26.0ms

series111.0ms

simplify122.0ms

prune105.0ms

localize12.0ms

rewrite18.0ms

series92.0ms

simplify90.0ms

prune128.0ms

localize12.0ms

rewrite17.0ms

series102.0ms

simplify79.0ms

prune99.0ms

regimes51.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample306.0ms

Profiling