Details

analyze686.0ms (26.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5025	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)

sample31.0ms (1.2%)

Algorithm

1×

intervals

Results

9.0ms	169×	body	128	valid
5.0ms	37×	body	1024	valid
3.0ms	17×	body	2048	valid
2.0ms	23×	body	512	valid
1.0ms	39×	body	128	invalid
1.0ms	10×	body	256	valid
1.0ms	6×	body	512	invalid
0.0ms	3×	body	256	invalid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 31 to 22 computations (29% saved)

simplify141.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	5044	7

prune3.0ms (0.1%)

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))

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_11012`
7×	`*-un-lft-identity_binary64_10990`
6×	`cancel-sign-sub-inv_binary64_10956`
5×	`add-cube-cbrt_binary64_11025` `associate-r_binary64_10930`
4×	`distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
3×	`pow1_binary64_11051` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `associate-l_binary64_10931`
2×	`associate-*r/_binary64_10932` `sub-neg_binary64_10983`
1×	`flip3--_binary64_10994` `prod-exp_binary64_11039` `distribute-lft-out--_binary64_10942` `flip--_binary64_10965` `add-log-exp_binary64_11029` `unswap-sqr_binary64_10958` `difference-of-squares_binary64_10959` `cbrt-unprod_binary64_11023` `*-commutative_binary64_10921` `pow-prod-down_binary64_11061`

Counts

1 → 30

Calls

1 calls:

8.0ms

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

series32.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

32.0ms

(*.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

prune24.0ms (0.9%)

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)))

rewrite36.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64_11012`
21×	`sqrt-prod_binary64_11006`
19×	`*-un-lft-identity_binary64_10990`
18×	`sqrt-div_binary64_11007`
16×	`associate-r_binary64_10930`
13×	`pow1_binary64_11051`
11×	`add-cube-cbrt_binary64_11025` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
10×	`associate-*r/_binary64_10932`
9×	`flip3--_binary64_10994` `flip--_binary64_10965`
4×	`prod-exp_binary64_11039` `distribute-lft-out--_binary64_10942` `frac-times_binary64_11000` `add-log-exp_binary64_11029` `difference-of-squares_binary64_10959` `cbrt-unprod_binary64_11023` `associate-l_binary64_10931` `pow-prod-down_binary64_11061`
2×	`pow1/2_binary64_11070` `rem-sqrt-square_binary64_11003` `unswap-sqr_binary64_10958` `sqrt-pow1_binary64_11008` `-commutative_binary64_10921` `associate-l/_binary64_10933`

Counts

4 → 91

Calls

4 calls:

14.0ms	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))
8.0ms	(*.f64 y (sqrt.f64 (-.f64 x z)))
4.0ms	(sqrt.f64 (-.f64 x z))
3.0ms	(sqrt.f64 (-.f64 x z))

series175.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

70.0ms	(*.f64 y (sqrt.f64 (-.f64 x z)))
38.0ms	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))
35.0ms	(sqrt.f64 (-.f64 x z))
32.0ms	(sqrt.f64 (-.f64 x z))

simplify50.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5258	1453

prune65.0ms (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))

rewrite28.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_10990`
10×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
9×	`add-sqr-sqrt_binary64_11012`
7×	`add-cube-cbrt_binary64_11025`
5×	`pow1_binary64_11051` `add-log-exp_binary64_11029`
4×	`times-frac_binary64_10996` `associate-r/_binary64_10932` `associate-r_binary64_10930` `associate-/r_binary64_10934`
3×	`flip3--_binary64_10994` `flip--_binary64_10965` `sub-neg_binary64_10983` `associate-l_binary64_10931` `cancel-sign-sub-inv_binary64_10956`
2×	`prod-exp_binary64_11039` `associate-/l/_binary64_10937` `distribute-lft-out_binary64_10941` `div-exp_binary64_11041` `difference-of-squares_binary64_10959` `cbrt-unprod_binary64_11023` `associate-/r/_binary64_10936` `distribute-rgt-in_binary64_10940` `cbrt-undiv_binary64_11024` `distribute-lft-in_binary64_10939`
1×	`clear-num_binary64_10989` `diff-log_binary64_11082` `unswap-sqr_binary64_10958` `associate-/l_binary64_10935` `flip3-+_binary64_10993` `flip-+_binary64_10964` `frac-2neg_binary64_11001` `div-inv_binary64_10987` `-commutative_binary64_10921` `pow-prod-down_binary64_11061`

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))

series161.0ms (6.1%)

Counts

3 → 9

Calls

3 calls:

81.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))
58.0ms	(.f64 y (-.f64 (.f64 x x) (*.f64 z z)))
22.0ms	(-.f64 (.f64 x x) (.f64 z z))

simplify60.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5066	1047

prune43.0ms (1.6%)

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)

regimes63.0ms (2.4%)

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%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms (0%)

sample957.0ms (36.4%)

Algorithm

1×

intervals

Results

212.0ms	5812×	body	128	valid
110.0ms	854×	body	1024	valid
79.0ms	493×	body	2048	valid
51.0ms	1478×	body	128	invalid
51.0ms	546×	body	512	valid
19.0ms	295×	body	256	valid
19.0ms	199×	body	512	invalid
18.0ms	140×	body	1024	invalid
9.0ms	134×	body	256	invalid

Compiler

Compiled 122 to 90 computations (26.2% saved)

Details

analyze686.0ms (26.1%)

sample31.0ms (1.2%)

simplify141.0ms (5.4%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite10.0ms (0.4%)

series32.0ms (1.2%)

simplify46.0ms (1.7%)

prune24.0ms (0.9%)

localize6.0ms (0.2%)

rewrite36.0ms (1.4%)

series175.0ms (6.6%)

simplify50.0ms (1.9%)

prune65.0ms (2.5%)

localize8.0ms (0.3%)

rewrite28.0ms (1.1%)

series161.0ms (6.1%)

simplify60.0ms (2.3%)

prune43.0ms (1.6%)

regimes63.0ms (2.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample957.0ms (36.4%)

Profiling