Details

analyze495.0ms (21%)

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
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)

sample30.0ms (1.3%)

Algorithm

1×

intervals

Results

6.0ms	185×	body	128	valid
3.0ms	22×	body	2048	valid
3.0ms	24×	body	1024	valid
2.0ms	63×	body	128	invalid
2.0ms	20×	body	512	valid
1.0ms	6×	body	1024	invalid
0.0ms	5×	body	512	invalid
0.0ms	6×	body	256	invalid
0.0ms	5×	body	256	valid

Compiler

Compiled 31 to 22 computations (29% saved)

simplify227.0ms (9.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (139.0ms)

Iter	Nodes	Cost
0	5044	7

prune4.0ms (0.2%)

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

0.0b

Counts

2 → 2

Compiler

Compiled 25 to 19 computations (24% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_12717`
7×	`*-un-lft-identity_binary64_12695`
6×	`cancel-sign-sub-inv_binary64_12661`
5×	`add-cube-cbrt_binary64_12730` `associate-r_binary64_12635`
4×	`distribute-rgt-in_binary64_12645` `distribute-lft-in_binary64_12644`
3×	`associate-l_binary64_12636` `add-exp-log_binary64_12733` `pow1_binary64_12756` `add-cbrt-cube_binary64_12731`
2×	`sub-neg_binary64_12688` `associate-*r/_binary64_12637`
1×	`prod-exp_binary64_12744` `distribute-lft-out--_binary64_12647` `flip3--_binary64_12699` `pow-prod-down_binary64_12766` `*-commutative_binary64_12626` `difference-of-squares_binary64_12664` `flip--_binary64_12670` `unswap-sqr_binary64_12663` `cbrt-unprod_binary64_12728` `add-log-exp_binary64_12734`

Counts

1 → 30

Calls

1 calls:

7.0ms

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

series36.0ms (1.5%)

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify46.0ms (2%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5688	314

prune20.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	32	3	35

Error

Counts

35 → 3

Compiler

Compiled 325 to 88 computations (72.9% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 y y))
0.0b	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
9.2b	(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))

rewrite23.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64_12734`
6×	`diff-log_binary64_12787`
4×	`sum-log_binary64_12786`
3×	`*-un-lft-identity_binary64_12695` `add-cube-cbrt_binary64_12730` `cancel-sign-sub-inv_binary64_12661` `distribute-rgt-out--_binary64_12649` `add-exp-log_binary64_12733` `sub-neg_binary64_12688` `add-sqr-sqrt_binary64_12717` `pow1_binary64_12756` `add-cbrt-cube_binary64_12731`
2×	`associate-+l+_binary64_12628` `distribute-lft-out_binary64_12646` `flip3--_binary64_12699` `flip--_binary64_12670` `associate-+l-_binary64_12630`
1×	`associate--l+_binary64_12632` `distribute-lft-out--_binary64_12647` `flip-+_binary64_12669` `flip3-+_binary64_12698` `+-commutative_binary64_12625` `associate--l-_binary64_12633`

Counts

3 → 46

Calls

3 calls:

9.0ms	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
6.0ms	(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))
4.0ms	(-.f64 (.f64 x y) (.f64 y y))

series84.0ms (3.6%)

Counts

3 → 9

Calls

3 calls:

33.0ms	(-.f64 (.f64 x y) (.f64 y y))
33.0ms	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
18.0ms	(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))

simplify74.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4947	533
1	4947	533

prune35.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	55	3	58

Error

Counts

58 → 3

Compiler

Compiled 755 to 175 computations (76.8% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 x z))
0.3b	(pow.f64 (*.f64 y (-.f64 x z)) 3)
37.2b	(cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3))

rewrite19.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_12717`
11×	`*-un-lft-identity_binary64_12695`
9×	`add-cube-cbrt_binary64_12730`
8×	`cbrt-prod_binary64_12726` `add-exp-log_binary64_12733` `pow1_binary64_12756` `add-cbrt-cube_binary64_12731`
6×	`cancel-sign-sub-inv_binary64_12661` `associate-*r/_binary64_12637`
5×	`associate-r_binary64_12635`
4×	`distribute-rgt-in_binary64_12645` `cube-div_binary64_12724` `distribute-lft-in_binary64_12644`
3×	`associate-l_binary64_12636` `flip3--_binary64_12699` `pow-unpow_binary64_12772` `flip--_binary64_12670` `add-log-exp_binary64_12734`
2×	`prod-exp_binary64_12744` `unpow3_binary64_12761` `pow-pow_binary64_12767` `cbrt-div_binary64_12727` `pow-prod-down_binary64_12766` `cube-prod_binary64_12723` `sub-neg_binary64_12688` `sqr-pow_binary64_12667` `cube-mult_binary64_12725` `rem-cube-cbrt_binary64_12718` `cbrt-unprod_binary64_12728` `unpow-prod-down_binary64_12774` `pow-exp_binary64_12763`
1×	`rem-cbrt-cube_binary64_12719` `distribute-lft-out--_binary64_12647` `*-commutative_binary64_12626` `difference-of-squares_binary64_12664` `pow-to-exp_binary64_12764` `unswap-sqr_binary64_12663` `pow1/3_binary64_12777`

Counts

3 → 73

Calls

3 calls:

7.0ms	(*.f64 y (-.f64 x z))
6.0ms	(pow.f64 (*.f64 y (-.f64 x z)) 3)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3))

series129.0ms (5.5%)

Counts

3 → 9

Calls

3 calls:

57.0ms	(pow.f64 (*.f64 y (-.f64 x z)) 3)
40.0ms	(cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3))
32.0ms	(*.f64 y (-.f64 x z))

simplify72.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5056	928

prune53.0ms (2.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	82	3	85

Error

Counts

85 → 3

Compiler

Compiled 993 to 383 computations (61.4% saved)

regimes69.0ms (2.9%)

Accuracy

Total 0.0b remaining (71.8%)

Threshold costs 0.0b (71.8%)

Compiler

Compiled 351 to 288 computations (17.9% 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%)

sample907.0ms (38.5%)

Algorithm

1×

intervals

Results

199.0ms	5843×	body	128	valid
96.0ms	790×	body	1024	valid
84.0ms	551×	body	2048	valid
56.0ms	1577×	body	128	invalid
49.0ms	521×	body	512	valid
20.0ms	151×	body	1024	invalid
18.0ms	205×	body	512	invalid
18.0ms	295×	body	256	valid
9.0ms	139×	body	256	invalid

Compiler

Compiled 93 to 78 computations (16.1% saved)

Details

analyze495.0ms (21%)

sample30.0ms (1.3%)

simplify227.0ms (9.7%)

prune4.0ms (0.2%)

localize4.0ms (0.2%)

rewrite9.0ms (0.4%)

series36.0ms (1.5%)

simplify46.0ms (2%)

prune20.0ms (0.9%)

localize8.0ms (0.4%)

rewrite23.0ms (1%)

series84.0ms (3.6%)

simplify74.0ms (3.1%)

prune35.0ms (1.5%)

localize6.0ms (0.3%)

rewrite19.0ms (0.8%)

series129.0ms (5.5%)

simplify72.0ms (3.1%)

prune53.0ms (2.3%)

regimes69.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample907.0ms (38.5%)

Profiling