Details

analyze690.0ms (23.3%)

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)

sample33.0ms (1.1%)

Algorithm

1×

intervals

Results

10.0ms	185×	body	128	valid
3.0ms	22×	body	2048	valid
3.0ms	24×	body	1024	valid
2.0ms	20×	body	512	valid
2.0ms	51×	body	128	invalid
1.0ms	9×	body	1024	invalid
1.0ms	11×	body	512	invalid
1.0ms	9×	body	256	invalid
0.0ms	5×	body	256	valid

Compiler

Compiled 31 to 22 computations (29% saved)

simplify270.0ms (9.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (178.0ms)

Iter	Nodes	Cost
0	5795	7

prune4.0ms (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

0.0b

Counts

2 → 2

Compiler

Compiled 25 to 19 computations (24% 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_13740`
7×	`*-un-lft-identity_binary64_13718`
6×	`cancel-sign-sub-inv_binary64_13684`
5×	`associate-r_binary64_13658` `add-cube-cbrt_binary64_13753`
4×	`distribute-lft-in_binary64_13667` `distribute-rgt-in_binary64_13668`
3×	`pow1_binary64_13779` `add-cbrt-cube_binary64_13754` `associate-l_binary64_13659` `add-exp-log_binary64_13756`
2×	`associate-*r/_binary64_13660` `sub-neg_binary64_13711`
1×	`difference-of-squares_binary64_13687` `*-commutative_binary64_13649` `add-log-exp_binary64_13757` `prod-exp_binary64_13767` `unswap-sqr_binary64_13686` `pow-prod-down_binary64_13789` `cbrt-unprod_binary64_13751` `flip3--_binary64_13722` `flip--_binary64_13693` `distribute-lft-out--_binary64_13670`

Counts

1 → 30

Calls

1 calls:

7.0ms

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

series34.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify48.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5688	314

prune19.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	31	4	35

Error

Counts

35 → 4

Compiler

Compiled 331 to 93 computations (71.9% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_13757`
1×	`pow1_binary64_13779` `flip3-+_binary64_13721` `distribute-rgt-neg-out_binary64_13678` `add-cbrt-cube_binary64_13754` `distribute-lft-out_binary64_13669` `sum-log_binary64_13809` `+-commutative_binary64_13648` `add-exp-log_binary64_13756` `flip-+_binary64_13692` `add-sqr-sqrt_binary64_13740` `*-un-lft-identity_binary64_13718` `unsub-neg_binary64_13712` `add-cube-cbrt_binary64_13753`

Counts

1 → 13

Calls

1 calls:

4.0ms

(+.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))

series33.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

33.0ms

(+.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))

simplify75.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5235	170

prune14.0ms (0.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	16	4	20

Error

Counts

20 → 4

Compiler

Compiled 182 to 62 computations (65.9% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (-.f64 x z))
0.2b	(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))))
1.8b	(sqrt.f64 (*.f64 y (-.f64 x z)))
1.8b	(sqrt.f64 (*.f64 y (-.f64 x z)))

rewrite39.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`pow1_binary64_13779`
32×	`sqrt-pow1_binary64_13736`
23×	`pow-prod-down_binary64_13789`
20×	`associate-*r/_binary64_13660`
18×	`add-sqr-sqrt_binary64_13740`
16×	`sqrt-div_binary64_13735`
14×	`*-un-lft-identity_binary64_13718`
12×	`pow1/2_binary64_13798` `add-cube-cbrt_binary64_13753`
10×	`pow-prod-up_binary64_13788`
9×	`associate-r_binary64_13658` `flip3--_binary64_13722` `flip--_binary64_13693`
8×	`add-cbrt-cube_binary64_13754` `add-exp-log_binary64_13756`
7×	`associate-l_binary64_13659`
6×	`pow-sqr_binary64_13691` `cancel-sign-sub-inv_binary64_13684` `sqrt-prod_binary64_13734`
4×	`add-log-exp_binary64_13757` `frac-times_binary64_13728` `distribute-lft-in_binary64_13667` `distribute-rgt-in_binary64_13668` `swap-sqr_binary64_13685`
2×	`-commutative_binary64_13649` `associate-l/_binary64_13661` `sub-neg_binary64_13711` `prod-exp_binary64_13767` `unswap-sqr_binary64_13686` `cbrt-unprod_binary64_13751`
1×	`difference-of-squares_binary64_13687` `pow2_binary64_13799` `pow-plus_binary64_13781` `sqrt-unprod_binary64_13738` `rem-square-sqrt_binary64_13730` `distribute-lft-out--_binary64_13670`

Counts

4 → 113

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))))
7.0ms	(*.f64 y (-.f64 x z))
5.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))
4.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))

series255.0ms (8.6%)

Counts

4 → 12

Calls

4 calls:

120.0ms	(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))))
51.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))
50.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))
34.0ms	(*.f64 y (-.f64 x z))

simplify54.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5228	1402

prune75.0ms (2.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	125	4	129

Error

Counts

129 → 4

Compiler

Compiled 1896 to 393 computations (79.3% saved)

localize7.0ms (0.2%)

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 (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_13740`
11×	`*-un-lft-identity_binary64_13718`
9×	`add-cube-cbrt_binary64_13753`
8×	`pow1_binary64_13779` `add-cbrt-cube_binary64_13754` `cbrt-prod_binary64_13749` `add-exp-log_binary64_13756`
6×	`associate-*r/_binary64_13660` `cancel-sign-sub-inv_binary64_13684`
5×	`associate-r_binary64_13658`
4×	`distribute-lft-in_binary64_13667` `distribute-rgt-in_binary64_13668` `cube-div_binary64_13747`
3×	`add-log-exp_binary64_13757` `pow-unpow_binary64_13795` `associate-l_binary64_13659` `flip3--_binary64_13722` `flip--_binary64_13693`
2×	`cube-mult_binary64_13748` `sub-neg_binary64_13711` `prod-exp_binary64_13767` `unpow-prod-down_binary64_13797` `unpow3_binary64_13784` `pow-pow_binary64_13790` `sqr-pow_binary64_13690` `pow-exp_binary64_13786` `pow-prod-down_binary64_13789` `cbrt-unprod_binary64_13751` `rem-cube-cbrt_binary64_13741` `cube-prod_binary64_13746` `cbrt-div_binary64_13750`
1×	`difference-of-squares_binary64_13687` `rem-cbrt-cube_binary64_13742` `*-commutative_binary64_13649` `pow1/3_binary64_13800` `unswap-sqr_binary64_13686` `pow-to-exp_binary64_13787` `distribute-lft-out--_binary64_13670`

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))

series137.0ms (4.6%)

Counts

3 → 9

Calls

3 calls:

68.0ms	(pow.f64 (*.f64 y (-.f64 x z)) 3)
40.0ms	(cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3))
28.0ms	(*.f64 y (-.f64 x z))

simplify71.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5056	928

prune49.0ms (1.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	82	4	86

Error

Counts

86 → 4

Compiler

Compiled 993 to 383 computations (61.4% saved)

regimes71.0ms (2.4%)

Accuracy

Total 0.0b remaining (72.8%)

Threshold costs 0.0b (72.8%)

Compiler

Compiled 342 to 283 computations (17.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	10
1	35	10

end0.0ms (0%)

sample934.0ms (31.5%)

Algorithm

1×

intervals

Results

204.0ms	5842×	body	128	valid
100.0ms	790×	body	1024	valid
86.0ms	551×	body	2048	valid
52.0ms	521×	body	512	valid
48.0ms	1370×	body	128	invalid
28.0ms	304×	body	512	invalid
27.0ms	204×	body	1024	invalid
19.0ms	296×	body	256	valid
12.0ms	194×	body	256	invalid

Compiler

Compiled 93 to 78 computations (16.1% saved)

Details

analyze690.0ms (23.3%)

sample33.0ms (1.1%)

simplify270.0ms (9.1%)

prune4.0ms (0.1%)

localize4.0ms (0.1%)

rewrite9.0ms (0.3%)

series34.0ms (1.2%)

simplify48.0ms (1.6%)

prune19.0ms (0.6%)

localize6.0ms (0.2%)

rewrite5.0ms (0.2%)

series33.0ms (1.1%)

simplify75.0ms (2.5%)

prune14.0ms (0.5%)

localize7.0ms (0.2%)

rewrite39.0ms (1.3%)

series255.0ms (8.6%)

simplify54.0ms (1.8%)

prune75.0ms (2.5%)

localize7.0ms (0.2%)

rewrite19.0ms (0.7%)

series137.0ms (4.6%)

simplify71.0ms (2.4%)

prune49.0ms (1.7%)

regimes71.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample934.0ms (31.5%)

Profiling