Details

analyze275.0ms

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

sample142.0ms

Algorithm

intervals

Results

71.0ms	177×	body	640	valid
31.0ms	321×	body	80	nan
14.0ms	41×	body	320	valid
4.0ms	19×	body	160	valid
2.0ms	3×	body	1280	valid
2.0ms	16×	body	80	valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5039	31

prune8.0ms

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: 4.9b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

2.5b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
2.8b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
3.3b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
3.9b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

rewrite42.0ms

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 x 1)) (sqrt.f64 x))
12.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
9.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
9.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

series45.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify33.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5194	1304

prune171.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	75	9	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	9	85

Merged error: 0.4b

Counts

85 → 9

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
2.5b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
2.8b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
3.3b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

rewrite45.0ms

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

series43.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
12.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
11.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
12.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

simplify64.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4995	1603
1	4995	1603

prune172.0ms

Filtered

72 candidates to 111 candidates (-54.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	107	4	111
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	111	9	120

Merged error: 0.3b

Counts

120 → 9

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
2.8b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
3.3b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

rewrite46.0ms

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

series38.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify68.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4886	1870
1	4886	1870

prune196.0ms

Filtered

79 candidates to 138 candidates (-74.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	135	3	138
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	138	9	147

Merged error: 0.1b

Counts

147 → 9

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
3.3b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

rewrite52.0ms

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:

13.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
11.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
12.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
9.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

series36.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify40.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4951	2155
1	4951	2155

prune183.0ms

Filtered

86 candidates to 165 candidates (-91.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	162	3	165
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	165	9	174

Merged error: 0.0b

Counts

174 → 9

regimes1.2s

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b 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

sample4.2s

Algorithm

intervals

Results

2.1s	5213×	body	640	valid
945.0ms	9500×	body	80	nan
454.0ms	1513×	body	320	valid
94.0ms	476×	body	160	valid
72.0ms	142×	body	1280	valid
67.0ms	656×	body	80	valid

Details

analyze275.0ms

sample142.0ms

simplify47.0ms

prune8.0ms

localize22.0ms

rewrite42.0ms

series45.0ms

simplify33.0ms

prune171.0ms

localize24.0ms

rewrite45.0ms

series43.0ms

simplify64.0ms

prune172.0ms

localize26.0ms

rewrite46.0ms

series38.0ms

simplify68.0ms

prune196.0ms

localize25.0ms

rewrite52.0ms

series36.0ms

simplify40.0ms

prune183.0ms

regimes1.2s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample4.2s

Profiling