Details

analyze702.0ms (26.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5019	28
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
34.3%	65.5%	0.1%	9
39%	60.8%	0.1%	10
41.3%	58.5%	0.1%	11
52.7%	47.2%	0.1%	12
54%	45.7%	0.2%	13
55.3%	43.8%	0.9%	14

Compiler

Compiled 16 to 10 computations (37.5% saved)

sample26.0ms (1%)

Algorithm

1×

intervals

Results

5.0ms	169×	body	128	valid
4.0ms	37×	body	1024	valid
3.0ms	17×	body	2048	valid
2.0ms	23×	body	512	valid
1.0ms	33×	body	128	invalid
1.0ms	11×	body	512	invalid
1.0ms	10×	body	256	valid
0.0ms	4×	body	256	invalid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 31 to 22 computations (29% saved)

simplify246.0ms (9.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (241.0ms)

Iter	Nodes	Cost
0	6666	7

prune8.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 y (-.f64 x z))

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_16468`
7×	`*-un-lft-identity_binary64_16446`
6×	`cancel-sign-sub-inv_binary64_16412`
5×	`add-cube-cbrt_binary64_16481` `associate-r_binary64_16386`
4×	`distribute-rgt-in_binary64_16396` `distribute-lft-in_binary64_16395`
3×	`add-exp-log_binary64_16484` `pow1_binary64_16507` `add-cbrt-cube_binary64_16482` `associate-l_binary64_16387`
2×	`associate-*r/_binary64_16388` `sub-neg_binary64_16439`
1×	`unswap-sqr_binary64_16414` `pow-prod-down_binary64_16517` `cbrt-unprod_binary64_16479` `*-commutative_binary64_16377` `distribute-lft-out--_binary64_16398` `add-log-exp_binary64_16485` `prod-exp_binary64_16495` `flip3--_binary64_16450` `flip--_binary64_16421` `difference-of-squares_binary64_16415`

Counts

1 → 30

Calls

1 calls:

7.0ms

(*.f64 y (-.f64 x z))

series33.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

33.0ms

(*.f64 y (-.f64 x z))

simplify46.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5688	314

prune20.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Error

Counts

34 → 3

Compiler

Compiled 326 to 87 computations (73.3% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 x z))
0.0b	(sqrt.f64 (-.f64 x z))
0.1b	(*.f64 y (sqrt.f64 (-.f64 x z)))
0.1b	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))

rewrite35.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64_16468`
21×	`sqrt-prod_binary64_16462`
19×	`*-un-lft-identity_binary64_16446`
18×	`sqrt-div_binary64_16463`
16×	`associate-r_binary64_16386`
13×	`pow1_binary64_16507`
11×	`add-exp-log_binary64_16484` `add-cube-cbrt_binary64_16481` `add-cbrt-cube_binary64_16482`
10×	`associate-*r/_binary64_16388`
9×	`flip3--_binary64_16450` `flip--_binary64_16421`
4×	`pow-prod-down_binary64_16517` `cbrt-unprod_binary64_16479` `distribute-lft-out--_binary64_16398` `add-log-exp_binary64_16485` `prod-exp_binary64_16495` `associate-l_binary64_16387` `difference-of-squares_binary64_16415` `frac-times_binary64_16456`
2×	`rem-sqrt-square_binary64_16459` `unswap-sqr_binary64_16414` `sqrt-pow1_binary64_16464` `-commutative_binary64_16377` `associate-l/_binary64_16389` `pow1/2_binary64_16526`

Counts

4 → 91

Calls

4 calls:

14.0ms	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))
7.0ms	(*.f64 y (sqrt.f64 (-.f64 x z)))
3.0ms	(sqrt.f64 (-.f64 x z))
3.0ms	(sqrt.f64 (-.f64 x z))

series166.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

63.0ms	(*.f64 y (sqrt.f64 (-.f64 x z)))
36.0ms	(sqrt.f64 (-.f64 x z))
34.0ms	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))
32.0ms	(sqrt.f64 (-.f64 x z))

simplify48.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5258	1453

prune67.0ms (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	103	3	106

Error

Counts

106 → 3

Compiler

Compiled 1696 to 399 computations (76.5% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

2.4b	(-.f64 (.f64 x x) (.f64 z z))
9.1b	(.f64 y (-.f64 (.f64 x x) (*.f64 z z)))
21.0b	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))

rewrite25.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_16446`
10×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
9×	`add-sqr-sqrt_binary64_16468`
7×	`add-cube-cbrt_binary64_16481`
5×	`pow1_binary64_16507` `add-log-exp_binary64_16485`
4×	`associate-r/_binary64_16388` `times-frac_binary64_16452` `associate-r_binary64_16386` `associate-/r_binary64_16390`
3×	`sub-neg_binary64_16439` `cancel-sign-sub-inv_binary64_16412` `flip3--_binary64_16450` `associate-l_binary64_16387` `flip--_binary64_16421`
2×	`cbrt-undiv_binary64_16480` `associate-/l/_binary64_16393` `distribute-lft-out_binary64_16397` `cbrt-unprod_binary64_16479` `prod-exp_binary64_16495` `distribute-rgt-in_binary64_16396` `distribute-lft-in_binary64_16395` `associate-/r/_binary64_16392` `div-exp_binary64_16497` `difference-of-squares_binary64_16415`
1×	`clear-num_binary64_16445` `unswap-sqr_binary64_16414` `pow-prod-down_binary64_16517` `-commutative_binary64_16377` `div-inv_binary64_16443` `diff-log_binary64_16538` `flip3-+_binary64_16449` `associate-/l_binary64_16391` `flip-+_binary64_16420` `frac-2neg_binary64_16457`

Counts

3 → 65

Calls

3 calls:

10.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))
7.0ms	(.f64 y (-.f64 (.f64 x x) (*.f64 z z)))
4.0ms	(-.f64 (.f64 x x) (.f64 z z))

series173.0ms (6.4%)

Counts

3 → 9

Calls

3 calls:

92.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))
58.0ms	(.f64 y (-.f64 (.f64 x x) (*.f64 z z)))
23.0ms	(-.f64 (.f64 x x) (.f64 z z))

simplify57.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5066	1047

prune45.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	74	3	77

Error

Counts

77 → 3

Compiler

Compiled 1195 to 233 computations (80.5% saved)

regimes61.0ms (2.3%)

Accuracy

Total 0.0b remaining (93.2%)

Threshold costs 0.0b (93.2%)

Compiler

Compiled 420 to 304 computations (27.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms (0%)

sample901.0ms (33.5%)

Algorithm

1×

intervals

Results

195.0ms	5814×	body	128	valid
97.0ms	851×	body	1024	valid
72.0ms	494×	body	2048	valid
48.0ms	548×	body	512	valid
45.0ms	1269×	body	128	invalid
26.0ms	300×	body	512	invalid
24.0ms	186×	body	1024	invalid
18.0ms	293×	body	256	valid
14.0ms	196×	body	256	invalid

Compiler

Compiled 122 to 90 computations (26.2% saved)

Details

analyze702.0ms (26.1%)

sample26.0ms (1%)

simplify246.0ms (9.2%)

prune8.0ms (0.3%)

localize4.0ms (0.1%)

rewrite9.0ms (0.3%)

series33.0ms (1.2%)

simplify46.0ms (1.7%)

prune20.0ms (0.7%)

localize6.0ms (0.2%)

rewrite35.0ms (1.3%)

series166.0ms (6.2%)

simplify48.0ms (1.8%)

prune67.0ms (2.5%)

localize8.0ms (0.3%)

rewrite25.0ms (0.9%)

series173.0ms (6.4%)

simplify57.0ms (2.1%)

prune45.0ms (1.7%)

regimes61.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample901.0ms (33.5%)

Profiling