Details

analyze71.0ms (3.3%)

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
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

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample11.0ms (0.5%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify122.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 40

Calls

1 calls:

9.0ms

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

series17.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

17.0ms

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

simplify64.0ms (3%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4976	523
1	4976	523

prune37.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	6	44

Merged error: 0.0b

Counts

44 → 6

Compiler

Compiled 558 to 214 computations (61.6% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite29.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

9.0ms	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
7.0ms	(*.f64 y (+.f64 x y))
6.0ms	(*.f64 x (+.f64 x y))

series71.0ms (3.3%)

Counts

3 → 9

Calls

3 calls:

31.0ms	(*.f64 y (+.f64 x y))
20.0ms	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
20.0ms	(*.f64 x (+.f64 x y))

simplify110.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4749	909
1	4749	909

prune61.0ms (2.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	77	4	81

Merged error: 0b

Counts

81 → 4

Compiler

Compiled 1195 to 281 computations (76.5% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite28.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

13.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 x y)) (*.f64 y (+.f64 x y)))
6.0ms	(*.f64 y (+.f64 x y))
4.0ms	(+.f64 (.f64 x x) (.f64 x y))

series75.0ms (3.5%)

Counts

3 → 9

Calls

3 calls:

30.0ms	(*.f64 y (+.f64 x y))
24.0ms	(+.f64 (.f64 x x) (.f64 x y))
21.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 x y)) (*.f64 y (+.f64 x y)))

simplify83.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4866	911
1	4866	911

prune45.0ms (2.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	64	4	68

Merged error: 0b

Counts

68 → 4

Compiler

Compiled 1130 to 282 computations (75% saved)

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 y y) (.f64 x y))
0.1b	(*.f64 (+.f64 x y) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))
0.5b	(+.f64 (pow.f64 x 3) (pow.f64 y 3))
33.6b	(/.f64 (.f64 (+.f64 x y) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 x x) (-.f64 (.f64 y y) (.f64 x y))))

rewrite69.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`*-un-lft-identity_binary64_16446`
14×	`flip3-+_binary64_16449` `flip-+_binary64_16420`
11×	`add-exp-log_binary64_16484` `distribute-lft-out_binary64_16397` `add-cbrt-cube_binary64_16482`
10×	`add-sqr-sqrt_binary64_16468`
9×	`associate-r_binary64_16386`
8×	`cube-prod_binary64_16474` `add-cube-cbrt_binary64_16481` `associate-/l/_binary64_16393` `add-log-exp_binary64_16485` `unpow-prod-down_binary64_16525` `frac-times_binary64_16456`
6×	`pow1_binary64_16507`
4×	`associate-r/_binary64_16388` `associate-l/_binary64_16389` `associate-l_binary64_16387`
3×	`times-frac_binary64_16452` `associate-/r*_binary64_16390`
2×	`sum-cubes_binary64_16447` `cbrt-undiv_binary64_16480` `cbrt-unprod_binary64_16479` `prod-exp_binary64_16495` `associate-/r/_binary64_16392` `div-exp_binary64_16497`
1×	`+-commutative_binary64_16376` `clear-num_binary64_16445` `unswap-sqr_binary64_16414` `pow-prod-down_binary64_16517` `-commutative_binary64_16377` `div-inv_binary64_16443` `diff-log_binary64_16538` `distribute-rgt-in_binary64_16396` `distribute-rgt-out--_binary64_16400` `associate-/l_binary64_16391` `distribute-lft-in_binary64_16395` `sum-log_binary64_16537` `sub-neg_binary64_16439` `cancel-sign-sub-inv_binary64_16412` `flip3--_binary64_16450` `frac-2neg_binary64_16457` `flip--_binary64_16421`

Counts

4 → 96

Calls

4 calls:

23.0ms	(/.f64 (.f64 (+.f64 x y) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 x x) (-.f64 (.f64 y y) (.f64 x y))))
21.0ms	(*.f64 (+.f64 x y) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))
11.0ms	(+.f64 (pow.f64 x 3) (pow.f64 y 3))
4.0ms	(-.f64 (.f64 y y) (.f64 x y))

series161.0ms (7.5%)

Counts

4 → 12

Calls

4 calls:

53.0ms	(/.f64 (.f64 (+.f64 x y) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 x x) (-.f64 (.f64 y y) (.f64 x y))))
38.0ms	(-.f64 (.f64 y y) (.f64 x y))
37.0ms	(*.f64 (+.f64 x y) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))
33.0ms	(+.f64 (pow.f64 x 3) (pow.f64 y 3))

simplify97.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5428	2354

prune155.0ms (7.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	108	4	112

Merged error: 0b

Counts

112 → 4

Compiler

Compiled 3225 to 1230 computations (61.9% saved)

regimes134.0ms (6.3%)

Compiler: Compiled 977 to 656 computations (32.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	16
1	13	16

end0.0ms (0%)

sample655.0ms (30.6%)

Algorithm

1×

intervals

Results

170.0ms	8000×	body	128	valid
2.0ms	85×	body	128	invalid

Compiler

Compiled 255 to 170 computations (33.3% saved)

Details

analyze71.0ms (3.3%)

sample11.0ms (0.5%)

simplify122.0ms (5.7%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite11.0ms (0.5%)

series17.0ms (0.8%)

simplify64.0ms (3%)

prune37.0ms (1.7%)

localize6.0ms (0.3%)

rewrite29.0ms (1.4%)

series71.0ms (3.3%)

simplify110.0ms (5.1%)

prune61.0ms (2.9%)

localize8.0ms (0.4%)

rewrite28.0ms (1.3%)

series75.0ms (3.5%)

simplify83.0ms (3.9%)

prune45.0ms (2.1%)

localize14.0ms (0.6%)

rewrite69.0ms (3.2%)

series161.0ms (7.5%)

simplify97.0ms (4.5%)

prune155.0ms (7.2%)

regimes134.0ms (6.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample655.0ms (30.6%)

Profiling