Details

analyze344.0ms

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
3.0ms	72×	body	80	nan
1.0ms	18×	body	80	invalid

simplify140.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	6513	10

prune2.0ms

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: 24.3b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
2.4b	(-.f64 (.f64 y y) (.f64 z z))
25.1b	(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))
4.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

series38.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
9.0ms	(-.f64 (.f64 y y) (.f64 z z))
8.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

simplify36.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4996	609
1	4996	609

prune38.0ms

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: 0.4b

Counts

63 → 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

prune5.0ms

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: 0.4b

Counts

4 → 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 (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: 0.4b

Counts

4 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) 3)
2.4b	(-.f64 (.f64 y y) (.f64 z z))
25.1b	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
36.4b	(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`sqrt-prod_binary64` `cbrt-prod_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
14×	`unpow-prod-down_binary64` `cube-prod_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `difference-of-squares_binary64` `sqrt-div_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3--_binary64` `cube-div_binary64` `flip--_binary64`
3×	`pow-unpow_binary64` `pow-pow_binary64`
2×	`cbrt-div_binary64` `pow1/2_binary64` `sqr-pow_binary64` `sqrt-pow1_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `rem-cbrt-cube_binary64` `diff-log_binary64` `sqrt-pow2_binary64` `pow1/3_binary64` `rem-sqrt-square_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

4 → 95

Calls

4 calls:

6.0ms	(pow.f64 (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) 3)
4.0ms	(-.f64 (.f64 y y) (.f64 z z))
4.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
7.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) 3))

series47.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(pow.f64 (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) 3)
7.0ms	(-.f64 (.f64 y y) (.f64 z z))
8.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
8.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 y y) (.f64 z z))) 3))

simplify63.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5115	1174

prune36.0ms

Filtered

62 candidates to 107 candidates (-72.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	107	4	111

Merged error: 0.4b

Counts

111 → 4

Details

analyze344.0ms

sample22.0ms

simplify140.0ms

prune2.0ms

localize7.0ms

rewrite18.0ms

series38.0ms

simplify36.0ms

prune38.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify5.0ms

prune5.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify5.0ms

prune2.0ms

localize10.0ms

rewrite25.0ms

series47.0ms

simplify63.0ms

prune36.0ms

regimes458.0ms

bsearch20.0ms

Profiling