Details

analyze356.0ms (8.1%)

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 (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	57×	body	128	nan
1.0ms	30×	body	128	invalid

Compiler

Compiled 21 to 20 computations (4.8% saved)

simplify468.0ms (10.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (377.0ms)

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

25.3b

Counts

2 → 1

Compiler

Compiled 20 to 16 computations (20% saved)

localize8.0ms (0.2%)

Local error

Found 6 expressions with local error:

24.9b	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
3.2b	(-.f64 (.f64 y y) (.f64 z z))
0.0b	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
0.0b	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
3.2b	(-.f64 (.f64 y y) (.f64 z z))
24.9b	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_18855`
9×	`sqrt-prod_binary64_18849`
7×	`-un-lft-identity_binary64_18833` `associate-r*_binary64_18773` `add-cube-cbrt_binary64_18868`
6×	`pow1_binary64_18894`
5×	`add-cbrt-cube_binary64_18869` `add-log-exp_binary64_18872` `add-exp-log_binary64_18871`
4×	`sqrt-div_binary64_18850`
3×	`flip--_binary64_18808` `flip3--_binary64_18837` `associate-l_binary64_18774` `difference-of-squares_binary64_18802`
2×	`associate-*r/_binary64_18775` `unswap-sqr_binary64_18801`
1×	`pow-prod-down_binary64_18904` `*-commutative_binary64_18764` `rem-sqrt-square_binary64_18846` `pow1/2_binary64_18913` `cbrt-unprod_binary64_18866` `diff-log_binary64_18925` `prod-exp_binary64_18882` `sqrt-pow1_binary64_18851` `sub-neg_binary64_18826` `cancel-sign-sub-inv_binary64_18799`

Counts

3 → 54

Calls

6 calls:

8.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
8.0ms	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
4.0ms	(-.f64 (.f64 y y) (.f64 z z))
0.0ms	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
0.0ms	(-.f64 (.f64 y y) (.f64 z z))

series302.0ms (6.9%)

Counts

3 → 34

Calls

3 calls:

142.0ms	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
93.0ms	(-.f64 (.f64 y y) (.f64 z z))
67.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

Compiler

Compiled 641 to 612 computations (4.5% saved)

simplify48.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4985	1210
1	4985	1210

prune72.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	4	89

Error

0.3b

Counts

89 → 4

Compiler

Compiled 1203 to 278 computations (76.9% saved)

localize12.0ms (0.3%)

Local error

Found 8 expressions with local error:

3.2b	(-.f64 (.f64 y y) (.f64 z z))
0.3b	(.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 y y) (.f64 z z)))) x) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 y y) (.f64 z z)))))
0.2b	(.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) x)
0.1b	(sqrt.f64 (cbrt.f64 (-.f64 (.f64 y y) (.f64 z z))))
3.2b	(-.f64 (.f64 y y) (.f64 z z))
3.2b	(-.f64 (.f64 y y) (.f64 z z))
25.8b	(cbrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
25.8b	(cbrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`cbrt-prod_binary64_18864` `add-log-exp_binary64_18872`
6×	`*-un-lft-identity_binary64_18833` `add-cube-cbrt_binary64_18868` `add-sqr-sqrt_binary64_18855`
4×	`add-cbrt-cube_binary64_18869` `pow1_binary64_18894` `flip--_binary64_18808` `flip3--_binary64_18837` `add-exp-log_binary64_18871` `difference-of-squares_binary64_18802` `cbrt-div_binary64_18865`
2×	`diff-log_binary64_18925` `pow1/3_binary64_18915` `sub-neg_binary64_18826` `cancel-sign-sub-inv_binary64_18799`

Counts

4 → 54

Calls

8 calls:

4.0ms	(-.f64 (.f64 y y) (.f64 z z))
4.0ms	(-.f64 (.f64 y y) (.f64 z z))
4.0ms	(cbrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
4.0ms	(cbrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
0.0ms	(sqrt.f64 (cbrt.f64 (-.f64 (.f64 y y) (.f64 z z))))

series464.0ms (10.6%)

Counts

4 → 42

Calls

4 calls:

133.0ms	(cbrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
133.0ms	(cbrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
102.0ms	(-.f64 (.f64 y y) (.f64 z z))
96.0ms	(-.f64 (.f64 y y) (.f64 z z))

Compiler

Compiled 1696 to 1422 computations (16.2% saved)

simplify93.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4902	1276
1	4902	1276

prune73.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	96	4	100

Error

0.3b

Counts

100 → 4

Compiler

Compiled 2305 to 389 computations (83.1% 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

prune1.0ms (0%)

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

Error

0.3b

Counts

4 → 4

Compiler

Compiled 4 to 5 computations (-25% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Error

0.3b

Counts

4 → 4

Compiler

Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	119	217
1	119	217

regimes458.0ms (10.4%)

Compiler: Compiled 1533 to 1130 computations (26.3% saved)

bsearch346.0ms (7.9%)

Steps

Iters	Range		Point
13	-4.409640202327045e-274	2.7431177952135184e-241	7.43280876674966e-289

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes356.0ms (8.1%)

Compiler: Compiled 575 to 645 computations (-12.2% saved)

bsearch301.0ms (6.8%)

Steps

Iters	Range		Point
13	-4.409640202327045e-274	2.7431177952135184e-241	3.0009870283414602e-291

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes29.0ms (0.7%)

Compiler: Compiled 24 to 66 computations (-175% saved)

bsearch0.0ms (0%)

regimes27.0ms (0.6%)

Accuracy

Total 0.5b remaining (75.6%)

Threshold costs 0.5b (75.6%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 35 to 35 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	51
1	55	51

end0.0ms (0%)

sample877.0ms (20%)

Algorithm

1×

intervals

Results

285.0ms	8000×	body	128	valid
60.0ms	1847×	body	128	nan
25.0ms	734×	body	128	invalid

Compiler

Compiled 209 to 165 computations (21.1% saved)

Pareto

0.9708201905983365

Details

analyze356.0ms (8.1%)

sample21.0ms (0.5%)

simplify468.0ms (10.6%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite24.0ms (0.6%)

series302.0ms (6.9%)

simplify48.0ms (1.1%)

prune72.0ms (1.6%)

localize12.0ms (0.3%)

rewrite20.0ms (0.5%)

series464.0ms (10.6%)

simplify93.0ms (2.1%)

prune73.0ms (1.7%)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.2%)

prune1.0ms (0%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify9.0ms (0.2%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

regimes458.0ms (10.4%)

bsearch346.0ms (7.9%)

regimes356.0ms (8.1%)

bsearch301.0ms (6.8%)

regimes29.0ms (0.7%)

bsearch0.0ms (0%)

regimes27.0ms (0.6%)

bsearch3.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample877.0ms (20%)

Profiling