Details

analyze346.0ms (14%)

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)

sample25.0ms (1%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	64×	body	128	nan
1.0ms	24×	body	128	invalid

Compiler

Compiled 21 to 20 computations (4.8% saved)

simplify487.0ms (19.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (392.0ms)

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

25.5b

Counts

2 → 1

Compiler

Compiled 20 to 16 computations (20% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
2.0b	(-.f64 (.f64 y y) (.f64 z z))
25.0b	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

rewrite64.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

12.1b

Rules

12×	`add-sqr-sqrt_binary64_20219`
9×	`sqrt-prod_binary64_20213`
7×	`add-cube-cbrt_binary64_20232` `-un-lft-identity_binary64_20197` `associate-r*_binary64_20137`
6×	`pow1_binary64_20258`
5×	`add-log-exp_binary64_20236` `add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233`
4×	`sqrt-div_binary64_20214`
3×	`flip3--_binary64_20201` `flip--_binary64_20172` `difference-of-squares_binary64_20166` `associate-l_binary64_20138`
2×	`unswap-sqr_binary64_20165` `associate-*r/_binary64_20139`
1×	`pow1/2_binary64_20277` `sqrt-pow1_binary64_20215` `rem-sqrt-square_binary64_20210` `diff-log_binary64_20289` `sub-neg_binary64_20190` `cancel-sign-sub-inv_binary64_20163` `pow-prod-down_binary64_20268` `prod-exp_binary64_20246` `cbrt-unprod_binary64_20230` `*-commutative_binary64_20128`

Counts

3 → 54

Calls

3 calls:

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

Compiler

Compiled 1043 to 194 computations (81.4% saved)

series335.0ms (13.5%)

Error

0.2b

Counts

3 → 37

Calls

3 calls:

141.0ms	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
84.0ms	(-.f64 (.f64 y y) (.f64 z z))
83.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

Compiler

Compiled 1096 to 927 computations (15.4% saved)

simplify70.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4984	1303
1	4984	1303

prune61.0ms (2.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	4	92

Error

0.0b

Counts

92 → 4

Compiler

Compiled 1260 to 318 computations (74.8% saved)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms (0.1%)

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

0.0b

Counts

4 → 4

Compiler

Compiled 15 to 14 computations (6.7% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite112.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`sqrt-div_binary64_20214`
25×	`add-sqr-sqrt_binary64_20219`
22×	`sqrt-prod_binary64_20213`
19×	`*-un-lft-identity_binary64_20197`
15×	`pow1_binary64_20258`
12×	`associate-*r/_binary64_20139`
11×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233` `add-cube-cbrt_binary64_20232`
10×	`associate-l_binary64_20138`
9×	`associate-r_binary64_20137`
8×	`frac-times_binary64_20207`
7×	`flip3--_binary64_20201` `flip3-+_binary64_20200` `flip--_binary64_20172` `flip-+_binary64_20171`
6×	`pow-prod-down_binary64_20268`
4×	`pow1/2_binary64_20277` `sqrt-pow1_binary64_20215` `prod-exp_binary64_20246` `add-log-exp_binary64_20236` `cbrt-unprod_binary64_20230` `unswap-sqr_binary64_20165` `associate-*l/_binary64_20140`
2×	`distribute-lft-out_binary64_20148` `difference-of-squares_binary64_20166` `distribute-lft-out--_binary64_20149` `*-commutative_binary64_20128` `rem-sqrt-square_binary64_20210`
1×	`sqrt-unprod_binary64_20217`

Counts

4 → 100

Calls

4 calls:

13.0ms	(.f64 x (.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
12.0ms	(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z)))
3.0ms	(sqrt.f64 (-.f64 y z))
3.0ms	(sqrt.f64 (+.f64 z y))

Compiler

Compiled 2009 to 438 computations (78.2% saved)

series325.0ms (13.1%)

Error

0.0b

Counts

4 → 37

Calls

4 calls:

146.0ms	(.f64 x (.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z))))
81.0ms	(*.f64 (sqrt.f64 (+.f64 z y)) (sqrt.f64 (-.f64 y z)))
39.0ms	(sqrt.f64 (+.f64 z y))
38.0ms	(sqrt.f64 (-.f64 y z))

Compiler

Compiled 1346 to 1018 computations (24.4% saved)

simplify72.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5111	2100

prune94.0ms (3.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	137	4	141

Error

0.0b

Counts

141 → 4

Compiler

Compiled 2229 to 567 computations (74.6% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series1.0ms (0%)

Error: 0.0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (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

0.0b

Counts

4 → 4

Compiler

Compiled 0 to 0 computations (0% saved)

regimes412.0ms (16.6%)

Compiler: Compiled 1473 to 1089 computations (26.1% saved)

bsearch31.0ms (1.3%)

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

Details

analyze346.0ms (14%)

sample25.0ms (1%)

simplify487.0ms (19.7%)

prune2.0ms (0.1%)

localize7.0ms (0.3%)

rewrite64.0ms (2.6%)

series335.0ms (13.5%)

simplify70.0ms (2.8%)

prune61.0ms (2.5%)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize8.0ms (0.3%)

rewrite112.0ms (4.5%)

series325.0ms (13.1%)

simplify72.0ms (2.9%)

prune94.0ms (3.8%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series1.0ms (0%)

simplify8.0ms (0.3%)

prune1.0ms (0%)

regimes412.0ms (16.6%)

bsearch31.0ms (1.3%)

end0.0ms (0%)

Profiling