Details

analyze265.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
6.2%	93.6%	0.2%	5
6.2%	68.6%	25.1%	6
6.2%	49.9%	43.9%	7
6.2%	35.9%	57.9%	8
6.2%	25.3%	68.4%	9
6.2%	20.1%	73.7%	10
6.2%	15.7%	78.1%	11
6.2%	12%	81.7%	12
6.2%	9%	84.8%	13
6.2%	7.5%	86.3%	14

sample134.0ms

Algorithm

intervals

Results

68.0ms	180×	body	640	valid
27.0ms	275×	body	80	nan
13.0ms	47×	body	320	valid
2.0ms	12×	body	160	valid
2.0ms	4×	body	1280	valid
1.0ms	13×	body	80	valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5039	31

prune6.0ms

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: 6.0b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

2.2b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
3.5b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
3.6b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
3.8b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
32×	`*-un-lft-identity_binary64` `sqrt-prod_binary64`
16×	`difference-of-squares_binary64`
12×	`add-log-exp_binary64` `distribute-lft-out--_binary64`
4×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`

Counts

4 → 72

Calls

4 calls:

9.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
9.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
9.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
11.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))

series45.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
11.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
11.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
11.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))

simplify35.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5194	1304

prune114.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	79	5	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	5	85

Merged error: 0.6b

Counts

85 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))
2.2b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
3.5b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
3.6b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity_binary64`
40×	`sqrt-prod_binary64`
39×	`add-sqr-sqrt_binary64`
19×	`distribute-lft-out_binary64`
18×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
12×	`difference-of-squares_binary64`
10×	`add-log-exp_binary64`
9×	`distribute-lft-out--_binary64`
8×	`add-exp-log_binary64`
6×	`associate-/r*_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-/l*_binary64` `flip--_binary64`
2×	`associate-/r/_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `div-inv_binary64` `pow-flip_binary64` `flip-+_binary64`

Counts

4 → 99

Calls

4 calls:

11.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))
9.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
9.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
9.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

series45.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))
11.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
11.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
11.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

simplify34.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5125	1627

prune123.0ms

Filtered

72 candidates to 111 candidates (-54.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	107	4	111
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	112	4	116

Merged error: 0.3b

Counts

116 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
2.2b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
3.5b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

96×	`*-un-lft-identity_binary64`
48×	`sqrt-prod_binary64`
42×	`add-sqr-sqrt_binary64`
36×	`times-frac_binary64`
34×	`distribute-lft-out_binary64`
26×	`add-cube-cbrt_binary64`
12×	`associate-/r*_binary64` `add-exp-log_binary64`
8×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64`
6×	`pow1_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64`
4×	`associate-/r/_binary64` `div-exp_binary64`
2×	`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` `div-inv_binary64` `flip--_binary64` `pow-flip_binary64` `flip-+_binary64`

Counts

4 → 126

Calls

4 calls:

11.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))
11.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
9.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
9.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

series41.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))
8.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
11.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
14.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

simplify65.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4881	1874
1	4881	1874

prune135.0ms

Filtered

81 candidates to 138 candidates (-70.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	138	4	142

Merged error: 0.2b

Counts

142 → 4

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))
0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
3.5b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

128×	`*-un-lft-identity_binary64`
56×	`sqrt-prod_binary64`
54×	`times-frac_binary64`
49×	`distribute-lft-out_binary64`
45×	`add-sqr-sqrt_binary64`
37×	`add-cube-cbrt_binary64`
18×	`associate-/r*_binary64`
16×	`add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
9×	`associate-/l*_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `associate-/r/_binary64` `div-exp_binary64`
4×	`difference-of-squares_binary64`
3×	`flip3-+_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `pow-flip_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

4 → 153

Calls

4 calls:

11.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))
11.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
11.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
11.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

series36.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))
8.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
8.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
11.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

simplify44.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4960	2151
1	4960	2151

prune153.0ms

Filtered

88 candidates to 165 candidates (-87.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	162	3	165
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	164	5	169

Merged error: 0.0b

Counts

169 → 5

regimes617.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	39
1	40	39

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.0s	5198×	body	640	valid
942.0ms	9683×	body	80	nan
462.0ms	1595×	body	320	valid
85.0ms	451×	body	160	valid
70.0ms	145×	body	1280	valid
61.0ms	611×	body	80	valid

Details

analyze265.0ms

sample134.0ms

simplify46.0ms

prune6.0ms

localize21.0ms

rewrite41.0ms

series45.0ms

simplify35.0ms

prune114.0ms

localize26.0ms

rewrite42.0ms

series45.0ms

simplify34.0ms

prune123.0ms

localize24.0ms

rewrite45.0ms

series41.0ms

simplify65.0ms

prune135.0ms

localize25.0ms

rewrite51.0ms

series36.0ms

simplify44.0ms

prune153.0ms

regimes617.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample4.1s

Profiling