Details

analyze512.0ms (17.8%)

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)

sample29.0ms (1%)

Algorithm

1×

intervals

Results

6.0ms	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)

simplify347.0ms (12.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (255.0ms)

Iter	Nodes	Cost
0	6666	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))

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_14422`
7×	`*-un-lft-identity_binary64_14400`
6×	`cancel-sign-sub-inv_binary64_14366`
5×	`add-cube-cbrt_binary64_14435` `associate-r_binary64_14340`
4×	`distribute-rgt-in_binary64_14350` `distribute-lft-in_binary64_14349`
3×	`add-exp-log_binary64_14438` `pow1_binary64_14461` `associate-l_binary64_14341` `add-cbrt-cube_binary64_14436`
2×	`sub-neg_binary64_14393` `associate-*r/_binary64_14342`
1×	`cbrt-unprod_binary64_14433` `pow-prod-down_binary64_14471` `prod-exp_binary64_14449` `difference-of-squares_binary64_14369` `flip--_binary64_14375` `flip3--_binary64_14404` `add-log-exp_binary64_14439` `distribute-lft-out--_binary64_14352` `*-commutative_binary64_14331` `unswap-sqr_binary64_14368`

Counts

1 → 30

Calls

1 calls:

8.0ms

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

series31.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify46.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5688	314

prune19.0ms (0.7%)

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_14439`
1×	`+-commutative_binary64_14330` `flip3-+_binary64_14403` `add-exp-log_binary64_14438` `distribute-lft-out_binary64_14351` `unsub-neg_binary64_14394` `add-cube-cbrt_binary64_14435` `add-sqr-sqrt_binary64_14422` `*-un-lft-identity_binary64_14400` `pow1_binary64_14461` `flip-+_binary64_14374` `distribute-rgt-neg-out_binary64_14360` `sum-log_binary64_14491` `add-cbrt-cube_binary64_14436`

Counts

1 → 13

Calls

1 calls:

4.0ms

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

series32.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify76.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5235	170

prune11.0ms (0.4%)

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)

localize6.0ms (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)))

rewrite37.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`pow1_binary64_14461`
32×	`sqrt-pow1_binary64_14418`
23×	`pow-prod-down_binary64_14471`
20×	`associate-*r/_binary64_14342`
18×	`add-sqr-sqrt_binary64_14422`
16×	`sqrt-div_binary64_14417`
14×	`*-un-lft-identity_binary64_14400`
12×	`pow1/2_binary64_14480` `add-cube-cbrt_binary64_14435`
10×	`pow-prod-up_binary64_14470`
9×	`flip--_binary64_14375` `flip3--_binary64_14404` `associate-r_binary64_14340`
8×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
7×	`associate-l_binary64_14341`
6×	`cancel-sign-sub-inv_binary64_14366` `sqrt-prod_binary64_14416` `pow-sqr_binary64_14373`
4×	`frac-times_binary64_14410` `add-log-exp_binary64_14439` `distribute-rgt-in_binary64_14350` `distribute-lft-in_binary64_14349` `swap-sqr_binary64_14367`
2×	`sub-neg_binary64_14393` `associate-l/_binary64_14343` `cbrt-unprod_binary64_14433` `prod-exp_binary64_14449` `-commutative_binary64_14331` `unswap-sqr_binary64_14368`
1×	`rem-square-sqrt_binary64_14412` `pow-plus_binary64_14463` `pow2_binary64_14481` `difference-of-squares_binary64_14369` `distribute-lft-out--_binary64_14352` `sqrt-unprod_binary64_14420`

Counts

4 → 113

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))))
7.0ms	(*.f64 y (-.f64 x z))
4.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))
4.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))

series259.0ms (9%)

Counts

4 → 12

Calls

4 calls:

122.0ms	(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 y (-.f64 x z))))
54.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))
48.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))
34.0ms	(*.f64 y (-.f64 x z))

simplify60.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5228	1402

prune76.0ms (2.7%)

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_14422`
11×	`*-un-lft-identity_binary64_14400`
9×	`add-cube-cbrt_binary64_14435`
8×	`add-exp-log_binary64_14438` `cbrt-prod_binary64_14431` `pow1_binary64_14461` `add-cbrt-cube_binary64_14436`
6×	`cancel-sign-sub-inv_binary64_14366` `associate-*r/_binary64_14342`
5×	`associate-r_binary64_14340`
4×	`cube-div_binary64_14429` `distribute-rgt-in_binary64_14350` `distribute-lft-in_binary64_14349`
3×	`flip--_binary64_14375` `flip3--_binary64_14404` `add-log-exp_binary64_14439` `pow-unpow_binary64_14477` `associate-l_binary64_14341`
2×	`sub-neg_binary64_14393` `cbrt-unprod_binary64_14433` `pow-prod-down_binary64_14471` `prod-exp_binary64_14449` `cbrt-div_binary64_14432` `cube-mult_binary64_14430` `cube-prod_binary64_14428` `unpow-prod-down_binary64_14479` `rem-cube-cbrt_binary64_14423` `pow-exp_binary64_14468` `unpow3_binary64_14466` `pow-pow_binary64_14472` `sqr-pow_binary64_14372`
1×	`pow1/3_binary64_14482` `difference-of-squares_binary64_14369` `rem-cbrt-cube_binary64_14424` `pow-to-exp_binary64_14469` `distribute-lft-out--_binary64_14352` `*-commutative_binary64_14331` `unswap-sqr_binary64_14368`

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))

series133.0ms (4.6%)

Counts

3 → 9

Calls

3 calls:

59.0ms	(pow.f64 (*.f64 y (-.f64 x z)) 3)
40.0ms	(cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3))
34.0ms	(*.f64 y (-.f64 x z))

simplify73.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5056	928

prune50.0ms (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 (2.5%)

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%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	10
1	35	10

end0.0ms (0%)

sample944.0ms (32.9%)

Algorithm

1×

intervals

Results

206.0ms	5844×	body	128	valid
98.0ms	790×	body	1024	valid
86.0ms	551×	body	2048	valid
53.0ms	520×	body	512	valid
47.0ms	1372×	body	128	invalid
31.0ms	303×	body	512	invalid
27.0ms	204×	body	1024	invalid
19.0ms	295×	body	256	valid
12.0ms	193×	body	256	invalid

Compiler

Compiled 93 to 78 computations (16.1% saved)

Details

analyze512.0ms (17.8%)

sample29.0ms (1%)

simplify347.0ms (12.1%)

prune4.0ms (0.1%)

localize4.0ms (0.1%)

rewrite13.0ms (0.4%)

series31.0ms (1.1%)

simplify46.0ms (1.6%)

prune19.0ms (0.7%)

localize6.0ms (0.2%)

rewrite5.0ms (0.2%)

series32.0ms (1.1%)

simplify76.0ms (2.6%)

prune11.0ms (0.4%)

localize6.0ms (0.2%)

rewrite37.0ms (1.3%)

series259.0ms (9%)

simplify60.0ms (2.1%)

prune76.0ms (2.7%)

localize7.0ms (0.2%)

rewrite19.0ms (0.7%)

series133.0ms (4.6%)

simplify73.0ms (2.5%)

prune50.0ms (1.7%)

regimes71.0ms (2.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample944.0ms (32.9%)

Profiling