Details

analyze727.0ms (14.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	72
1	20	72
0	3	3
1	3	3

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
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
28.1%	71.8%	0.1%	9
42.1%	57.7%	0.1%	10
49.1%	50.7%	0.1%	11
57.3%	42.5%	0.1%	12
66.9%	33%	0.1%	13
71.7%	28.2%	0.1%	14

Symmetry

(sort x y z)

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample33.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	18
1	20	18

prune2.0ms (0%)

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

34.9b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

32.4b

(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

34.8b

Rules

3×	`add-sqr-sqrt_binary64_15786` `sqrt-prod_binary64_15780`
2×	`pow1_binary64_15825` `add-cube-cbrt_binary64_15799` `sqrt-div_binary64_15781` `*-un-lft-identity_binary64_15764`
1×	`pow1/2_binary64_15844` `add-log-exp_binary64_15803` `add-exp-log_binary64_15802` `add-cbrt-cube_binary64_15800` `sqrt-pow1_binary64_15782` `flip3-+_binary64_15767` `flip-+_binary64_15738` `rem-sqrt-square_binary64_15777`

Counts

1 → 15

Calls

1 calls:

6.0ms

(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))

Compiler

Compiled 376 to 58 computations (84.6% saved)

series243.0ms (5%)

Error

0.1b

Counts

1 → 21

Calls

1 calls:

205.0ms

(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))

Compiler

Compiled 1371 to 1152 computations (16% saved)

simplify36.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4979	1227
1	4979	1227

prune44.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Error

0.1b

Counts

37 → 4

Compiler

Compiled 920 to 343 computations (62.7% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.1b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms (0%)

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

Error

0.1b

Counts

4 → 4

Compiler

Compiled 29 to 15 computations (48.3% saved)

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.1b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms (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

0.1b

Counts

4 → 4

Compiler

Compiled 27 to 11 computations (59.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x)))))
0.5b	(.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x))))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x))))))
32.4b	(sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x))))
32.4b	(sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x))))

rewrite191.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

86×	`sqrt-prod_binary64_15780`
62×	`add-sqr-sqrt_binary64_15786`
38×	`sqrt-pow1_binary64_15782`
32×	`sqrt-div_binary64_15781`
31×	`pow1_binary64_15825`
20×	`pow1/2_binary64_15844` `add-cube-cbrt_binary64_15799` `*-un-lft-identity_binary64_15764`
15×	`swap-sqr_binary64_15731`
12×	`rem-sqrt-square_binary64_15777`
9×	`flip3-+_binary64_15767` `flip-+_binary64_15738` `pow-prod-up_binary64_15834` `unswap-sqr_binary64_15732` `associate-l_binary64_15705` `associate-r_binary64_15704`
6×	`add-exp-log_binary64_15802` `add-cbrt-cube_binary64_15800`
5×	`pow-prod-down_binary64_15835` `pow-sqr_binary64_15737`
4×	`add-log-exp_binary64_15803` `sqr-abs_binary64_15779` `frac-times_binary64_15774`
2×	`associate-l/_binary64_15707` `associate-r/_binary64_15706`
1×	`pow2_binary64_15845` `pow-plus_binary64_15827` `prod-exp_binary64_15813` `cbrt-unprod_binary64_15797` `sqrt-unprod_binary64_15784` `rem-square-sqrt_binary64_15776` `*-commutative_binary64_15695`

Counts

4 → 138

Calls

4 calls:

27.0ms	(.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x))))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x))))))
7.0ms	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x)))))
6.0ms	(sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x))))
6.0ms	(sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x))))

Compiler

Compiled 5920 to 468 computations (92.1% saved)

series1.2s (24.4%)

Error

0.1b

Counts

4 → 82

Calls

4 calls:

395.0ms	(sqrt.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x)))))
217.0ms	(sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x))))
217.0ms	(.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 x x))))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x))))))
212.0ms	(sqrt.f64 (+.f64 (.f64 z z) (+.f64 (.f64 y y) (*.f64 x x))))

Compiler

Compiled 7832 to 5660 computations (27.7% saved)

simplify125.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4947	7057
1	4947	7057

prune211.0ms (4.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	220	0	220
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	220	4	224

Error

0.1b

Counts

224 → 4

Compiler

Compiled 7396 to 1582 computations (78.6% saved)

regimes611.0ms (12.6%)

Accuracy

Total 12.1b remaining (96.5%)

Threshold costs 0b (0%)

Compiler

Compiled 2685 to 2011 computations (25.1% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify19.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	108
1	42	108

Compiler

Compiled 146 to 60 computations (58.9% saved)

end0.0ms (0%)

sample1.4s (28%)

Algorithm

1×

intervals

Results

348.0ms

8000×

body

128

valid

Compiler

Compiled 338 to 232 computations (31.4% saved)

Details

analyze727.0ms (14.9%)

sample33.0ms (0.7%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0.2%)

rewrite24.0ms (0.5%)

series243.0ms (5%)

simplify36.0ms (0.7%)

prune44.0ms (0.9%)

localize1.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune2.0ms (0%)

localize2.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune2.0ms (0%)

localize11.0ms (0.2%)

rewrite191.0ms (3.9%)

series1.2s (24.4%)

simplify125.0ms (2.6%)

prune211.0ms (4.3%)

regimes611.0ms (12.6%)

bsearch1.0ms (0%)

simplify19.0ms (0.4%)

end0.0ms (0%)

sample1.4s (28%)

Profiling