Details

analyze521.0ms (15.6%)

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)

sample27.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms	191×	body	128	valid
3.0ms	18×	body	2048	valid
2.0ms	20×	body	1024	valid
2.0ms	46×	body	128	invalid
2.0ms	17×	body	512	valid
1.0ms	6×	body	512	invalid
1.0ms	10×	body	256	valid
0.0ms	3×	body	1024	invalid
0.0ms	4×	body	256	invalid

Compiler

Compiled 31 to 22 computations (29% saved)

simplify355.0ms (10.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (184.0ms)

Iter	Nodes	Cost
0	6636	7

prune5.0ms (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

Merged error: 0.0b

Counts

2 → 2

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_12485`
7×	`*-un-lft-identity_binary64_12463`
6×	`cancel-sign-sub-inv_binary64_12429`
5×	`add-cube-cbrt_binary64_12498` `associate-r_binary64_12403`
4×	`distribute-rgt-in_binary64_12413` `distribute-lft-in_binary64_12412`
3×	`pow1_binary64_12524` `add-exp-log_binary64_12501` `associate-l_binary64_12404` `add-cbrt-cube_binary64_12499`
2×	`sub-neg_binary64_12456` `associate-*r/_binary64_12405`
1×	`distribute-lft-out--_binary64_12415` `prod-exp_binary64_12512` `unswap-sqr_binary64_12431` `difference-of-squares_binary64_12432` `cbrt-unprod_binary64_12496` `*-commutative_binary64_12394` `flip--_binary64_12438` `pow-prod-down_binary64_12534` `add-log-exp_binary64_12502` `flip3--_binary64_12467`

Counts

1 → 30

Calls

1 calls:

8.0ms

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

series67.0ms (2%)

Counts

1 → 3

Calls

1 calls:

67.0ms

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

simplify37.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4997	314
1	4997	314

prune29.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	32	3	35

Merged error: 0b

Counts

35 → 3

Compiler

Compiled 425 to 156 computations (63.3% 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_12502`
1×	`unsub-neg_binary64_12457` `pow1_binary64_12524` `*-un-lft-identity_binary64_12463` `add-exp-log_binary64_12501` `add-cube-cbrt_binary64_12498` `+-commutative_binary64_12393` `distribute-rgt-neg-out_binary64_12423` `distribute-lft-out_binary64_12414` `add-sqr-sqrt_binary64_12485` `flip3-+_binary64_12466` `sum-log_binary64_12554` `add-cbrt-cube_binary64_12499` `flip-+_binary64_12437`

Counts

1 → 13

Calls

1 calls:

4.0ms

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

series69.0ms (2.1%)

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify70.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5001	170

prune16.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	16	3	19

Merged error: 0b

Counts

19 → 3

Compiler

Compiled 220 to 87 computations (60.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_12502`
1×	`distribute-lft-out--_binary64_12415` `pow1_binary64_12524` `*-un-lft-identity_binary64_12463` `sub-neg_binary64_12456` `add-exp-log_binary64_12501` `add-cube-cbrt_binary64_12498` `flip--_binary64_12438` `cancel-sign-sub-inv_binary64_12429` `diff-log_binary64_12555` `add-sqr-sqrt_binary64_12485` `flip3--_binary64_12467` `add-cbrt-cube_binary64_12499`

Counts

1 → 13

Calls

1 calls:

4.0ms

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

series63.0ms (1.9%)

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify54.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5098	179

prune9.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	16	3	19

Merged error: 0b

Counts

19 → 3

Compiler

Compiled 174 to 51 computations (70.7% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))
0.6b	(cbrt.f64 (-.f64 x z))
0.6b	(cbrt.f64 (-.f64 x z))
0.6b	(cbrt.f64 (-.f64 x z))

rewrite36.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64_12494`
37×	`add-sqr-sqrt_binary64_12485`
35×	`*-un-lft-identity_binary64_12463`
18×	`cbrt-div_binary64_12495`
15×	`add-cube-cbrt_binary64_12498`
11×	`pow1_binary64_12524`
10×	`swap-sqr_binary64_12430`
9×	`distribute-lft-out--_binary64_12415` `flip--_binary64_12438` `pow1/3_binary64_12545` `flip3--_binary64_12467`
8×	`associate-l_binary64_12404` `associate-r_binary64_12403`
7×	`difference-of-squares_binary64_12432`
6×	`add-exp-log_binary64_12501`
4×	`unswap-sqr_binary64_12431` `frac-times_binary64_12473` `add-log-exp_binary64_12502` `add-cbrt-cube_binary64_12499`
2×	`pow-sqr_binary64_12436` `associate-l/_binary64_12406` `pow-prod-down_binary64_12534` `pow-prod-up_binary64_12533` `associate-r/_binary64_12405`
1×	`prod-exp_binary64_12512` `cbrt-unprod_binary64_12496` `*-commutative_binary64_12394` `pow-plus_binary64_12526` `pow2_binary64_12544`

Counts

4 → 101

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))
4.0ms	(cbrt.f64 (-.f64 x z))
3.0ms	(cbrt.f64 (-.f64 x z))
3.0ms	(cbrt.f64 (-.f64 x z))

series851.0ms (25.5%)

Counts

4 → 12

Calls

4 calls:

224.0ms	(*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))
213.0ms	(cbrt.f64 (-.f64 x z))
212.0ms	(cbrt.f64 (-.f64 x z))
202.0ms	(cbrt.f64 (-.f64 x z))

simplify66.0ms (2%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5240	1620

prune89.0ms (2.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	113	3	116

Merged error: 0b

Counts

116 → 3

Compiler

Compiled 2408 to 627 computations (74% saved)

regimes32.0ms (1%)

Compiler: Compiled 90 to 75 computations (16.7% 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%)

sample898.0ms (26.9%)

Algorithm

1×

intervals

Results

211.0ms	5777×	body	128	valid
108.0ms	833×	body	1024	valid
80.0ms	481×	body	2048	valid
57.0ms	1543×	body	128	invalid
57.0ms	568×	body	512	valid
25.0ms	341×	body	256	valid
19.0ms	198×	body	512	invalid
18.0ms	137×	body	1024	invalid
10.0ms	150×	body	256	invalid

Compiler

Compiled 56 to 43 computations (23.2% saved)

Details

analyze521.0ms (15.6%)

sample27.0ms (0.8%)

simplify355.0ms (10.6%)

prune5.0ms (0.1%)

localize4.0ms (0.1%)

rewrite10.0ms (0.3%)

series67.0ms (2%)

simplify37.0ms (1.1%)

prune29.0ms (0.9%)

localize6.0ms (0.2%)

rewrite5.0ms (0.2%)

series69.0ms (2.1%)

simplify70.0ms (2.1%)

prune16.0ms (0.5%)

localize5.0ms (0.2%)

rewrite5.0ms (0.1%)

series63.0ms (1.9%)

simplify54.0ms (1.6%)

prune9.0ms (0.3%)

localize8.0ms (0.3%)

rewrite36.0ms (1.1%)

series851.0ms (25.5%)

simplify66.0ms (2%)

prune89.0ms (2.7%)

regimes32.0ms (1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample898.0ms (26.9%)

Profiling