Details

analyze526.0ms (17.8%)

Algorithm

1×

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample21.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	46×	body	128	nan
1.0ms	19×	body	128	invalid

Compiler

Compiled 21 to 20 computations (4.8% saved)

simplify705.0ms (23.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (584.0ms)

Iter	Nodes	Cost
0	10529	15

prune2.0ms (0.1%)

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

Error

28.9b

Counts

2 → 1

Compiler

Compiled 20 to 16 computations (20% saved)

localize7.0ms (0.2%)

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))
29.0b	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

rewrite28.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_11353`
9×	`sqrt-prod_binary64_11347`
7×	`-un-lft-identity_binary64_11331` `associate-r*_binary64_11271` `add-cube-cbrt_binary64_11366`
6×	`pow1_binary64_11392`
5×	`add-exp-log_binary64_11369` `add-log-exp_binary64_11370` `add-cbrt-cube_binary64_11367`
4×	`sqrt-div_binary64_11348`
3×	`difference-of-squares_binary64_11300` `flip3--_binary64_11335` `associate-l_binary64_11272` `flip--_binary64_11306`
2×	`unswap-sqr_binary64_11299` `associate-*r/_binary64_11273`
1×	`*-commutative_binary64_11262` `cbrt-unprod_binary64_11364` `sub-neg_binary64_11324` `sqrt-pow1_binary64_11349` `cancel-sign-sub-inv_binary64_11297` `pow1/2_binary64_11411` `prod-exp_binary64_11380` `diff-log_binary64_11423` `pow-prod-down_binary64_11402` `rem-sqrt-square_binary64_11344`

Counts

3 → 54

Calls

3 calls:

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

series161.0ms (5.4%)

Counts

3 → 9

Calls

3 calls:

89.0ms	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
51.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
22.0ms	(-.f64 (.f64 y y) (.f64 z z))

simplify110.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5169	930

prune62.0ms (2.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	58	5	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	6	64

Error

Counts

64 → 6

Compiler

Compiled 1014 to 246 computations (75.7% saved)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms (0.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	1	1
Total	6	6

Error

Counts

6 → 6

Compiler

Compiled 67 to 35 computations (47.8% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

2.4b	(-.f64 (.f64 y y) (.f64 z z))
2.4b	(-.f64 (.f64 y y) (.f64 z z))
29.0b	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
29.0b	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

rewrite26.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-log-exp_binary64_11370` `add-sqr-sqrt_binary64_11353` `sqrt-prod_binary64_11347`
6×	`pow1_binary64_11392` `*-un-lft-identity_binary64_11331` `add-cube-cbrt_binary64_11366`
4×	`add-exp-log_binary64_11369` `difference-of-squares_binary64_11300` `sqrt-div_binary64_11348` `flip3--_binary64_11335` `add-cbrt-cube_binary64_11367` `flip--_binary64_11306`
2×	`sub-neg_binary64_11324` `sqrt-pow1_binary64_11349` `cancel-sign-sub-inv_binary64_11297` `pow1/2_binary64_11411` `diff-log_binary64_11423` `rem-sqrt-square_binary64_11344`

Counts

4 → 58

Calls

4 calls:

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

series127.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
34.0ms	(-.f64 (.f64 y y) (.f64 z z))
31.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
23.0ms	(-.f64 (.f64 y y) (.f64 z z))

simplify110.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4931	960
1	4931	960

prune89.0ms (3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	70	6	76

Error

Counts

76 → 6

Compiler

Compiled 1812 to 365 computations (79.9% saved)

localize16.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (+.f64 y z))
0.3b	(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))

rewrite23.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_11353`
17×	`sqrt-prod_binary64_11347`
14×	`sqrt-div_binary64_11348`
13×	`*-un-lft-identity_binary64_11331`
8×	`associate-r_binary64_11271`
7×	`pow1_binary64_11392` `add-cube-cbrt_binary64_11366` `associate-l_binary64_11272`
4×	`add-exp-log_binary64_11369` `unswap-sqr_binary64_11299` `frac-times_binary64_11341` `add-cbrt-cube_binary64_11367` `flip3-+_binary64_11334` `flip-+_binary64_11305`
3×	`sqrt-pow1_binary64_11349` `pow1/2_binary64_11411` `flip3--_binary64_11335` `pow-prod-down_binary64_11402` `flip--_binary64_11306`
2×	`add-log-exp_binary64_11370` `associate-l/_binary64_11274` `distribute-lft-out_binary64_11282` `associate-r/_binary64_11273`
1×	`sqrt-unprod_binary64_11351` `*-commutative_binary64_11262` `distribute-lft-out--_binary64_11283` `cbrt-unprod_binary64_11364` `difference-of-squares_binary64_11300` `prod-exp_binary64_11380` `rem-sqrt-square_binary64_11344`

Counts

2 → 57

Calls

2 calls:

14.0ms	(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))
3.0ms	(sqrt.f64 (+.f64 y z))

series106.0ms (3.6%)

Counts

2 → 6

Calls

2 calls:

64.0ms	(*.f64 (sqrt.f64 (+.f64 y z)) (sqrt.f64 (-.f64 y z)))
41.0ms	(sqrt.f64 (+.f64 y z))

simplify99.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5104	1098

prune57.0ms (1.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	63	6	69

Error

Counts

69 → 6

Compiler

Compiled 1137 to 296 computations (74% saved)

regimes641.0ms (21.6%)

Compiler: Compiled 1705 to 1147 computations (32.7% saved)

bsearch21.0ms (0.7%)

Compiler: Compiled 1 to 3 computations (-200% saved)

Details

analyze526.0ms (17.8%)

sample21.0ms (0.7%)

simplify705.0ms (23.8%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite28.0ms (1%)

series161.0ms (5.4%)

simplify110.0ms (3.7%)

prune62.0ms (2.1%)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.2%)

prune4.0ms (0.1%)

localize14.0ms (0.5%)

rewrite26.0ms (0.9%)

series127.0ms (4.3%)

simplify110.0ms (3.7%)

prune89.0ms (3%)

localize16.0ms (0.5%)

rewrite23.0ms (0.8%)

series106.0ms (3.6%)

simplify99.0ms (3.3%)

prune57.0ms (1.9%)

regimes641.0ms (21.6%)

bsearch21.0ms (0.7%)

end0.0ms (0%)

Profiling