Details

analyze35.0ms

Algorithm

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
0%	6.2%	93.8%	2
1.6%	3.1%	95.3%	3
1.6%	3.1%	95.3%	4
2.3%	1.6%	96.1%	5
2.3%	1.6%	96.1%	6
2.7%	0.8%	96.5%	7
2.7%	0.8%	96.5%	8
2.9%	0.4%	96.7%	9
2.9%	0.4%	96.7%	10
3%	0.2%	96.8%	11
3%	0.2%	96.8%	12
3.1%	0.1%	96.8%	13
3.1%	0.1%	96.8%	14

sample18.0ms

Algorithm

intervals

Results

8.0ms	256×	body	128	valid
4.0ms	256×	pre	128	true
0.0ms	3×	pre	128	false

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4902	17
1	4902	17

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 14.3b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
31.0b	(/.f64 (.f64 b b) (.f64 a a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64` `div-exp_binary64`
3×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
2×	`add-log-exp_binary64`
1×	`associate-/r_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

2 → 34

Calls

2 calls:

1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
7.0ms	(/.f64 (.f64 b b) (.f64 a a))

series86.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
36.0ms	(/.f64 (.f64 b b) (.f64 a a))

simplify73.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5272	452

prune28.0ms

Filtered

25 candidates to 40 candidates (-60.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	1	41

Merged error: 0.0b

Counts

41 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
0.4b	(pow.f64 (/.f64 b a) 2)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

13×	`unpow-prod-down_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`times-frac_binary64`
5×	`add-exp-log_binary64`
4×	`pow1_binary64`
3×	`pow-unpow_binary64` `sqrt-prod_binary64`
2×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `pow1/2_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 42

Calls

2 calls:

1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
5.0ms	(pow.f64 (/.f64 b a) 2)

series80.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (pow.f64 (/.f64 b a) 2))))
30.0ms	(pow.f64 (/.f64 b a) 2)

simplify35.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5113	588

prune29.0ms

Filtered

29 candidates to 48 candidates (-65.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	1	49

Merged error: 0.0b

Counts

49 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	14
1	20	14

end0.0ms

sample524.0ms

Algorithm

intervals

Results

251.0ms	8000×	body	128	valid
132.0ms	8000×	pre	128	true
2.0ms	107×	pre	128	false

Details

analyze35.0ms

sample18.0ms

simplify91.0ms

prune7.0ms

localize8.0ms

rewrite11.0ms

series86.0ms

simplify73.0ms

prune28.0ms

localize7.0ms

rewrite10.0ms

series80.0ms

simplify35.0ms

prune29.0ms

simplify2.0ms

end0.0ms

sample524.0ms

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