Details

analyze215.0ms (8.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	20
1	70	20
0	2	2
1	2	2

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
25%	74.9%	0.1%	5
25%	56.2%	18.8%	6
25%	40.6%	34.4%	7
31.2%	31.2%	37.6%	8
39%	21.1%	39.9%	9
42.9%	16%	41.1%	10
47.2%	10.7%	42%	11
49.4%	8.1%	42.5%	12
51.6%	5.4%	43%	13
52.7%	4.1%	43.2%	14

Symmetry

(sort x y)

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample18.0ms (0.7%)

Algorithm

1×

intervals

Results

4.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	70	10
1	70	10

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite41.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`*-un-lft-identity_binary64_16446`
8×	`pow1_binary64_16507`
7×	`add-sqr-sqrt_binary64_16468`
6×	`flip3-+_binary64_16449` `flip-+_binary64_16420` `swap-sqr_binary64_16413` `distribute-lft-out_binary64_16397`
5×	`add-cube-cbrt_binary64_16481`
4×	`frac-times_binary64_16456` `associate-l_binary64_16387` `associate-r_binary64_16386`
3×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
2×	`associate-l/_binary64_16389` `associate-r/_binary64_16388`
1×	`pow2_binary64_16527` `pow-prod-down_binary64_16517` `pow-prod-up_binary64_16516` `pow-plus_binary64_16509` `prod-exp_binary64_16495` `add-log-exp_binary64_16485` `cbrt-unprod_binary64_16479` `pow-sqr_binary64_16419` `unswap-sqr_binary64_16414` `distribute-rgt-in_binary64_16396` `distribute-lft-in_binary64_16395` `*-commutative_binary64_16377`

Counts

1 → 40

Calls

1 calls:

9.0ms

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

Compiler

Compiled 610 to 146 computations (76.1% saved)

series108.0ms (4.4%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

97.0ms

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

Compiler

Compiled 378 to 297 computations (21.4% saved)

simplify75.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4976	634
1	4976	634

prune44.0ms (1.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	2	59

Error

Counts

59 → 2

Compiler

Compiled 584 to 213 computations (63.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite52.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`associate-*r/_binary64_16388`
6×	`add-sqr-sqrt_binary64_16468` `*-un-lft-identity_binary64_16446` `flip3-+_binary64_16449` `flip-+_binary64_16420`
4×	`pow1_binary64_16507` `add-exp-log_binary64_16484` `add-log-exp_binary64_16485` `add-cbrt-cube_binary64_16482` `add-cube-cbrt_binary64_16481` `associate-r_binary64_16386` `frac-add_binary64_16454`
3×	`distribute-rgt-in_binary64_16396` `distribute-lft-in_binary64_16395` `associate-l_binary64_16387`
2×	`associate-+l+_binary64_16379` `associate-+r+_binary64_16378`
1×	`pow-prod-down_binary64_16517` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479` `unswap-sqr_binary64_16414` `distribute-lft-out_binary64_16397` `*-commutative_binary64_16377` `sum-log_binary64_16537` `distribute-rgt-out_binary64_16399` `+-commutative_binary64_16376`

Counts

2 → 43

Calls

2 calls:

8.0ms	(+.f64 (.f64 x (+.f64 y x)) (.f64 y (+.f64 y x)))
6.0ms	(*.f64 y (+.f64 y x))

Compiler

Compiled 912 to 186 computations (79.6% saved)

series325.0ms (13.3%)

Error

Counts

2 → 30

Calls

2 calls:

184.0ms	(+.f64 (.f64 x (+.f64 y x)) (.f64 y (+.f64 y x)))
114.0ms	(*.f64 y (+.f64 y x))

Compiler

Compiled 720 to 480 computations (33.3% saved)

simplify79.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4902	826
1	4902	826

prune48.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	73	2	75

Error

Counts

75 → 2

Compiler

Compiled 930 to 230 computations (75.3% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(pow.f64 (+.f64 y x) 6)
37.0b	(cbrt.f64 (pow.f64 (+.f64 y x) 6))

rewrite48.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`*-un-lft-identity_binary64_16446`
8×	`unpow-prod-down_binary64_16525` `cbrt-prod_binary64_16477`
6×	`add-cube-cbrt_binary64_16481` `add-sqr-sqrt_binary64_16468`
3×	`pow1_binary64_16507` `add-exp-log_binary64_16484` `pow-unpow_binary64_16523`
2×	`add-log-exp_binary64_16485` `add-cbrt-cube_binary64_16482` `distribute-lft-out_binary64_16397` `sqr-pow_binary64_16418`
1×	`pow1/3_binary64_16528` `pow-pow_binary64_16518` `pow-to-exp_binary64_16515` `pow-exp_binary64_16514`

Counts

2 → 34

Calls

2 calls:

9.0ms	(pow.f64 (+.f64 y x) 6)
5.0ms	(cbrt.f64 (pow.f64 (+.f64 y x) 6))

Compiler

Compiled 428 to 256 computations (40.2% saved)

series263.0ms (10.8%)

Error

Counts

2 → 42

Calls

2 calls:

118.0ms	(cbrt.f64 (pow.f64 (+.f64 y x) 6))
107.0ms	(pow.f64 (+.f64 y x) 6)

Compiler

Compiled 1218 to 993 computations (18.5% saved)

simplify101.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4979	1037
1	4979	1037

prune51.0ms (2.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	76	2	78

Error

Counts

78 → 2

Compiler

Compiled 828 to 519 computations (37.3% saved)

regimes179.0ms (7.4%)

Accuracy

Total 0.0b remaining (86.7%)

Threshold costs 0.0b (86.7%)

Compiler

Compiled 1020 to 605 computations (40.7% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	16
1	11	16

Remove

(sort x y)

Compiler

Compiled 22 to 12 computations (45.5% saved)

end0.0ms (0%)

sample752.0ms (30.8%)

Algorithm

1×

intervals

Results

163.0ms	8000×	body	128	valid
1.0ms	82×	body	128	invalid

Compiler

Compiled 255 to 156 computations (38.8% saved)

Details

analyze215.0ms (8.8%)

sample18.0ms (0.7%)

simplify12.0ms (0.5%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite41.0ms (1.7%)

series108.0ms (4.4%)

simplify75.0ms (3.1%)

prune44.0ms (1.8%)

localize5.0ms (0.2%)

rewrite52.0ms (2.1%)

series325.0ms (13.3%)

simplify79.0ms (3.3%)

prune48.0ms (1.9%)

localize7.0ms (0.3%)

rewrite48.0ms (2%)

series263.0ms (10.8%)

simplify101.0ms (4.1%)

prune51.0ms (2.1%)

regimes179.0ms (7.4%)

bsearch0.0ms (0%)

simplify9.0ms (0.4%)

end0.0ms (0%)

sample752.0ms (30.8%)

Profiling