Details

analyze312.0ms (12.1%)

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
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	243×	body	128	valid
1.0ms	26×	body	128	invalid
1.0ms	8×	body	512	valid
0.0ms	5×	body	1024	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify94.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	31	13
1	31	13

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

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
0.0b	(*.f64 x (+.f64 y z))

rewrite15.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_13740` `*-un-lft-identity_binary64_13718`
4×	`pow1_binary64_13779` `add-log-exp_binary64_13757` `add-cbrt-cube_binary64_13754` `associate-r_binary64_13658` `add-exp-log_binary64_13756` `add-cube-cbrt_binary64_13753`
3×	`associate-l_binary64_13659`
2×	`associate-*r/_binary64_13660` `flip3-+_binary64_13721` `distribute-lft-in_binary64_13667` `distribute-rgt-in_binary64_13668` `flip-+_binary64_13692` `associate-+l+_binary64_13651`
1×	`*-commutative_binary64_13649` `distribute-lft-out_binary64_13669` `sum-log_binary64_13809` `prod-exp_binary64_13767` `unswap-sqr_binary64_13686` `+-commutative_binary64_13648` `pow-prod-down_binary64_13789` `cbrt-unprod_binary64_13751`

Counts

2 → 36

Calls

2 calls:

7.0ms	(*.f64 x (+.f64 y z))
6.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

series53.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

28.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
25.0ms	(*.f64 x (+.f64 y z))

simplify79.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5032	518

prune36.0ms (1.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	36	6	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	6	43

Error

0.0b

Counts

43 → 6

Compiler

Compiled 676 to 309 computations (54.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 z (+.f64 x 5))
0.0b	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))

rewrite14.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_13740` `*-un-lft-identity_binary64_13718`
4×	`pow1_binary64_13779` `add-log-exp_binary64_13757` `add-cbrt-cube_binary64_13754` `associate-r_binary64_13658` `add-exp-log_binary64_13756` `add-cube-cbrt_binary64_13753`
3×	`associate-l_binary64_13659`
2×	`associate-*r/_binary64_13660` `associate-+r+_binary64_13650` `flip3-+_binary64_13721` `distribute-lft-in_binary64_13667` `distribute-rgt-in_binary64_13668` `flip-+_binary64_13692`
1×	`*-commutative_binary64_13649` `distribute-lft-out_binary64_13669` `sum-log_binary64_13809` `prod-exp_binary64_13767` `unswap-sqr_binary64_13686` `+-commutative_binary64_13648` `pow-prod-down_binary64_13789` `cbrt-unprod_binary64_13751`

Counts

2 → 36

Calls

2 calls:

6.0ms	(*.f64 z (+.f64 x 5))
4.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))

series52.0ms (2%)

Counts

2 → 6

Calls

2 calls:

28.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))
23.0ms	(*.f64 z (+.f64 x 5))

simplify98.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4956	518
1	4956	518

prune39.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	42	6	48

Error

0.0b

Counts

48 → 6

Compiler

Compiled 673 to 372 computations (44.7% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))
4.7b	(.f64 z (-.f64 (.f64 x x) 25))
6.0b	(/.f64 (.f64 z (-.f64 (.f64 x x) 25)) (-.f64 x 5))

rewrite32.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_13740`
13×	`*-un-lft-identity_binary64_13718`
10×	`add-cbrt-cube_binary64_13754` `add-exp-log_binary64_13756`
9×	`add-cube-cbrt_binary64_13753`
6×	`cancel-sign-sub-inv_binary64_13684`
5×	`pow1_binary64_13779` `associate-/r*_binary64_13662` `add-log-exp_binary64_13757` `times-frac_binary64_13724`
4×	`associate-r/_binary64_13660` `distribute-lft-in_binary64_13667` `distribute-rgt-in_binary64_13668` `associate-r*_binary64_13658`
3×	`difference-of-squares_binary64_13687` `associate-l_binary64_13659` `flip3--_binary64_13722` `flip--_binary64_13693`
2×	`sub-neg_binary64_13711` `prod-exp_binary64_13767` `associate-/r/_binary64_13664` `div-exp_binary64_13769` `cbrt-unprod_binary64_13751` `cbrt-undiv_binary64_13752` `distribute-lft-out--_binary64_13670` `associate-/l/_binary64_13665`
1×	`frac-2neg_binary64_13729` `-commutative_binary64_13649` `flip3-+_binary64_13721` `sum-log_binary64_13809` `unswap-sqr_binary64_13686` `+-commutative_binary64_13648` `pow-prod-down_binary64_13789` `associate-/l_binary64_13663` `flip-+_binary64_13692` `clear-num_binary64_13717` `div-inv_binary64_13715`

Counts

3 → 69

Calls

3 calls:

11.0ms	(/.f64 (.f64 z (-.f64 (.f64 x x) 25)) (-.f64 x 5))
8.0ms	(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))
7.0ms	(.f64 z (-.f64 (.f64 x x) 25))

series172.0ms (6.7%)

Counts

3 → 9

Calls

3 calls:

67.0ms	(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))
63.0ms	(/.f64 (.f64 z (-.f64 (.f64 x x) 25)) (-.f64 x 5))
42.0ms	(.f64 z (-.f64 (.f64 x x) 25))

simplify37.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5010	1324

prune73.0ms (2.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	79	5	84

Error

0.0b

Counts

84 → 5

Compiler

Compiled 1619 to 850 computations (47.5% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 y x) (/.f64 z (/.f64 (-.f64 x 5) (-.f64 (.f64 x x) 25))))
0.3b	(/.f64 z (/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25)))
7.6b	(/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25))

rewrite64.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

178×	`times-frac_binary64_13724`
149×	`add-sqr-sqrt_binary64_13740`
123×	`*-un-lft-identity_binary64_13718`
81×	`add-cube-cbrt_binary64_13753`
47×	`difference-of-squares_binary64_13687`
30×	`associate-/r*_binary64_13662`
21×	`distribute-lft-out--_binary64_13670`
11×	`associate-/r/_binary64_13664`
10×	`add-cbrt-cube_binary64_13754` `add-exp-log_binary64_13756`
8×	`associate-/l*_binary64_13663`
6×	`flip3--_binary64_13722` `flip--_binary64_13693` `div-inv_binary64_13715`
5×	`add-log-exp_binary64_13757`
4×	`div-exp_binary64_13769` `cbrt-undiv_binary64_13752`
3×	`pow1_binary64_13779`
2×	`frac-2neg_binary64_13729` `clear-num_binary64_13717` `associate-/l/_binary64_13665`
1×	`flip3-+_binary64_13721` `div-sub_binary64_13723` `sum-log_binary64_13809` `+-commutative_binary64_13648` `flip-+_binary64_13692`

Counts

3 → 179

Calls

3 calls:

22.0ms	(+.f64 (.f64 y x) (/.f64 z (/.f64 (-.f64 x 5) (-.f64 (.f64 x x) 25))))
13.0ms	(/.f64 z (/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25)))
9.0ms	(/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25))

series151.0ms (5.9%)

Counts

3 → 9

Calls

3 calls:

66.0ms	(+.f64 (.f64 y x) (/.f64 z (/.f64 (-.f64 x 5) (-.f64 (.f64 x x) 25))))
63.0ms	(/.f64 z (/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25)))
22.0ms	(/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25))

simplify96.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4940	5138
1	4940	5138

prune206.0ms (8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	188	5	193

Error

0.0b

Counts

193 → 5

Compiler

Compiled 4785 to 2579 computations (46.1% saved)

regimes145.0ms (5.7%)

Accuracy

Total 0.1b remaining (94.2%)

Threshold costs 0.1b (94.2%)

Compiler

Compiled 1315 to 1001 computations (23.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample749.0ms (29.1%)

Algorithm

1×

intervals

Results

214.0ms	7697×	body	128	valid
18.0ms	680×	body	128	invalid
17.0ms	154×	body	1024	valid
7.0ms	99×	body	512	valid
2.0ms	49×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 333 to 255 computations (23.4% saved)

Details

analyze312.0ms (12.1%)

sample16.0ms (0.6%)

simplify94.0ms (3.7%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite15.0ms (0.6%)

series53.0ms (2.1%)

simplify79.0ms (3.1%)

prune36.0ms (1.4%)

localize6.0ms (0.2%)

rewrite14.0ms (0.6%)

series52.0ms (2%)

simplify98.0ms (3.8%)

prune39.0ms (1.5%)

localize9.0ms (0.4%)

rewrite32.0ms (1.2%)

series172.0ms (6.7%)

simplify37.0ms (1.5%)

prune73.0ms (2.9%)

localize9.0ms (0.4%)

rewrite64.0ms (2.5%)

series151.0ms (5.9%)

simplify96.0ms (3.7%)

prune206.0ms (8%)

regimes145.0ms (5.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample749.0ms (29.1%)

Profiling