Details

analyze238.0ms (8.4%)

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)

sample19.0ms (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)

simplify13.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	70	10
1	70	10

prune3.0ms (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)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite48.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`*-un-lft-identity_binary64_17810`
8×	`pow1_binary64_17871`
7×	`add-sqr-sqrt_binary64_17832`
6×	`flip3-+_binary64_17813` `flip-+_binary64_17784` `swap-sqr_binary64_17777` `distribute-lft-out_binary64_17761`
5×	`add-cube-cbrt_binary64_17845`
4×	`frac-times_binary64_17820` `associate-l_binary64_17751` `associate-r_binary64_17750`
3×	`add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846`
2×	`associate-l/_binary64_17753` `associate-r/_binary64_17752`
1×	`pow2_binary64_17891` `pow-prod-down_binary64_17881` `pow-prod-up_binary64_17880` `pow-plus_binary64_17873` `prod-exp_binary64_17859` `add-log-exp_binary64_17849` `cbrt-unprod_binary64_17843` `pow-sqr_binary64_17783` `unswap-sqr_binary64_17778` `distribute-rgt-in_binary64_17760` `distribute-lft-in_binary64_17759` `*-commutative_binary64_17741`

Counts

1 → 40

Calls

1 calls:

9.0ms

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

Compiler

Compiled 515 to 121 computations (76.5% saved)

series139.0ms (4.9%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

133.0ms

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

Compiler

Compiled 265 to 229 computations (13.6% saved)

simplify59.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4976	634
1	4976	634

prune34.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

Counts

59 → 2

Compiler

Compiled 361 to 140 computations (61.2% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 y y) (.f64 x y))
0.1b	(*.f64 (+.f64 y x) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))
0.8b	(+.f64 (pow.f64 x 3) (pow.f64 y 3))
32.3b	(/.f64 (.f64 (+.f64 y x) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 x x) (-.f64 (.f64 y y) (.f64 x y))))

rewrite211.0ms (7.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`*-un-lft-identity_binary64_17810`
14×	`flip3-+_binary64_17813` `flip-+_binary64_17784`
11×	`add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846` `distribute-lft-out_binary64_17761`
10×	`add-sqr-sqrt_binary64_17832`
9×	`associate-r_binary64_17750`
8×	`add-log-exp_binary64_17849` `add-cube-cbrt_binary64_17845` `frac-times_binary64_17820` `associate-/l/_binary64_17757` `unpow-prod-down_binary64_17889` `cube-prod_binary64_17838`
6×	`pow1_binary64_17871`
4×	`associate-l/_binary64_17753` `associate-r/_binary64_17752` `associate-l_binary64_17751`
3×	`times-frac_binary64_17816` `associate-/r*_binary64_17754`
2×	`prod-exp_binary64_17859` `div-exp_binary64_17861` `cbrt-undiv_binary64_17844` `cbrt-unprod_binary64_17843` `associate-/r/_binary64_17756` `sum-cubes_binary64_17811`
1×	`frac-2neg_binary64_17821` `clear-num_binary64_17809` `div-inv_binary64_17807` `associate-/l_binary64_17755` `sum-log_binary64_17901` `+-commutative_binary64_17740` `pow-prod-down_binary64_17881` `unswap-sqr_binary64_17778` `distribute-rgt-in_binary64_17760` `distribute-lft-in_binary64_17759` `-commutative_binary64_17741` `diff-log_binary64_17902` `flip3--_binary64_17814` `sub-neg_binary64_17803` `flip--_binary64_17785` `cancel-sign-sub-inv_binary64_17776` `distribute-rgt-out--_binary64_17764`

Counts

4 → 96

Calls

4 calls:

23.0ms	(/.f64 (.f64 (+.f64 y x) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 x x) (-.f64 (.f64 y y) (.f64 x y))))
18.0ms	(*.f64 (+.f64 y x) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))
14.0ms	(+.f64 (pow.f64 x 3) (pow.f64 y 3))
4.0ms	(-.f64 (.f64 y y) (.f64 x y))

Compiler

Compiled 3158 to 1216 computations (61.5% saved)

series1.0s (36.7%)

Error

Counts

4 → 66

Calls

4 calls:

520.0ms	(/.f64 (.f64 (+.f64 y x) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 x x) (-.f64 (.f64 y y) (.f64 x y))))
219.0ms	(+.f64 (pow.f64 x 3) (pow.f64 y 3))
144.0ms	(*.f64 (+.f64 y x) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))
131.0ms	(-.f64 (.f64 y y) (.f64 x y))

Compiler

Compiled 1919 to 1252 computations (34.8% saved)

simplify79.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5020	2826

prune147.0ms (5.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	162	2	164

Error

Counts

164 → 2

Compiler

Compiled 2745 to 1056 computations (61.5% saved)

regimes313.0ms (11.1%)

Accuracy

Total 0.0b remaining (16.7%)

Threshold costs 0.0b (16.7%)

Compiler

Compiled 2544 to 1767 computations (30.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end7.0ms (0.2%)

Remove: (sort x y)
Compiler: Compiled 15 to 15 computations (0% saved)

sample462.0ms (16.3%)

Algorithm

1×

intervals

Results

147.0ms	8000×	body	128	valid
2.0ms	94×	body	128	invalid

Compiler

Compiled 59 to 49 computations (16.9% saved)

Details

analyze238.0ms (8.4%)

sample19.0ms (0.7%)

simplify13.0ms (0.5%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

rewrite48.0ms (1.7%)

series139.0ms (4.9%)

simplify59.0ms (2.1%)

prune34.0ms (1.2%)

localize14.0ms (0.5%)

rewrite211.0ms (7.5%)

series1.0s (36.7%)

simplify79.0ms (2.8%)

prune147.0ms (5.2%)

regimes313.0ms (11.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end7.0ms (0.2%)

sample462.0ms (16.3%)

Profiling