Details

analyze342.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	81.1%	18.9%	7
6.2%	74.9%	18.9%	8
9.4%	65.5%	25.1%	9
15.6%	48.4%	36%	10
20.3%	43.1%	36.6%	11
22.6%	36%	41.4%	12
27.1%	25.1%	47.8%	13
29.5%	22.5%	48%	14

sample22.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	48×	body	80	nan
1.0ms	28×	body	80	invalid

simplify138.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	6513	10

prune3.0ms

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: 23.2b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
3.0b	(-.f64 (.f64 y y) (.f64 z z))
24.4b	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
9×	`sqrt-prod_binary64`
7×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
6×	`pow1_binary64`
5×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`sqrt-div_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`associate-*r/_binary64` `unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `pow1/2_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 53

Calls

3 calls:

8.0ms	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
4.0ms	(-.f64 (.f64 y y) (.f64 z z))
5.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

series36.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
7.0ms	(-.f64 (.f64 y y) (.f64 z z))
8.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4996	609
1	4996	609

prune37.0ms

Filtered

48 candidates to 62 candidates (-29.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	4	63

Merged error: 0.2b

Counts

63 → 4

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Merged error: 0.2b

Counts

4 → 4

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Merged error: 0.2b

Counts

4 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
0.0b	(sqrt.f64 (-.f64 y z))
0.2b	(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

26×	`sqrt-div_binary64`
22×	`add-sqr-sqrt_binary64`
18×	`sqrt-prod_binary64`
15×	`*-un-lft-identity_binary64`
13×	`pow1_binary64`
12×	`associate-*r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
9×	`associate-r_binary64` `add-cube-cbrt_binary64`
8×	`frac-times_binary64`
7×	`flip3--_binary64` `flip--_binary64`
6×	`pow-prod-down_binary64` `flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-*l/_binary64`
3×	`add-log-exp_binary64` `pow1/2_binary64` `sqrt-pow1_binary64`
2×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`
1×	`distribute-lft-out_binary64` `sqrt-unprod_binary64` `rem-sqrt-square_binary64`

Counts

3 → 84

Calls

3 calls:

14.0ms	(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
4.0ms	(sqrt.f64 (-.f64 y z))
12.0ms	(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))

series53.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(.f64 x (.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z))))
12.0ms	(sqrt.f64 (-.f64 y z))
15.0ms	(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))

simplify33.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5187	1069

prune36.0ms

Filtered

69 candidates to 93 candidates (-34.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	92	5	97

Merged error: 0.2b

Counts

97 → 5

Details

analyze342.0ms

sample22.0ms

simplify138.0ms

prune3.0ms

localize8.0ms

rewrite18.0ms

series36.0ms

simplify42.0ms

prune37.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify5.0ms

prune4.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify5.0ms

prune2.0ms

localize7.0ms

rewrite33.0ms

series53.0ms

simplify33.0ms

prune36.0ms

regimes396.0ms

bsearch7.0ms

Profiling