Details

analyze72.0ms (2.2%)

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%	62.4%	12.6%	6
25%	40.6%	34.4%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample16.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify97.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
0.0b	(*.f64 x (+.f64 x 2))

rewrite47.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_11012` `*-un-lft-identity_binary64_10990`
4×	`pow1_binary64_11051` `add-exp-log_binary64_11028` `add-log-exp_binary64_11029` `add-cbrt-cube_binary64_11026` `add-cube-cbrt_binary64_11025` `associate-r_binary64_10930`
3×	`associate-l_binary64_10931`
2×	`distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939` `flip3-+_binary64_10993` `associate-*r/_binary64_10932` `flip-+_binary64_10964` `associate-+l+_binary64_10923`
1×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `unswap-sqr_binary64_10958` `distribute-lft-out_binary64_10941` `*-commutative_binary64_10921` `sum-log_binary64_11081` `+-commutative_binary64_10920`

Counts

2 → 36

Calls

2 calls:

10.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
7.0ms	(*.f64 x (+.f64 x 2))

Compiler

Compiled 583 to 313 computations (46.3% saved)

series181.0ms (5.6%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

129.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
37.0ms	(*.f64 x (+.f64 x 2))

Compiler

Compiled 425 to 348 computations (18.1% saved)

simplify63.0ms (2%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5006	611

prune42.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

Counts

58 → 2

Compiler

Compiled 690 to 355 computations (48.6% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))) (cbrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (*.f64 y y))))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y)))

rewrite209.0ms (6.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_11021`
23×	`add-sqr-sqrt_binary64_11012`
18×	`cbrt-div_binary64_11022`
15×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990`
11×	`pow1_binary64_11051`
9×	`pow1/3_binary64_11072` `flip3-+_binary64_10993` `flip-+_binary64_10964`
6×	`add-exp-log_binary64_11028` `swap-sqr_binary64_10957` `associate-l_binary64_10931` `associate-r_binary64_10930`
4×	`add-log-exp_binary64_11029` `add-cbrt-cube_binary64_11026` `frac-times_binary64_11000` `unswap-sqr_binary64_10958`
2×	`pow-prod-down_binary64_11061` `pow-prod-up_binary64_11060` `pow-sqr_binary64_10963` `associate-l/_binary64_10933` `associate-r/_binary64_10932`
1×	`pow2_binary64_11071` `pow-plus_binary64_11053` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `*-commutative_binary64_10921`

Counts

4 → 87

Calls

4 calls:

17.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))) (cbrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (*.f64 y y))))
6.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y)))
6.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y)))
6.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y)))

Compiler

Compiled 4124 to 2280 computations (44.7% saved)

series1.3s (38.9%)

Error

Counts

4 → 68

Calls

4 calls:

316.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))) (cbrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (*.f64 y y))))
268.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y)))
259.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y)))
256.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y)))

Compiler

Compiled 7406 to 5641 computations (23.8% saved)

simplify81.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5396	4373

prune269.0ms (8.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	155	2	157

Error

Counts

157 → 2

Compiler

Compiled 6069 to 3553 computations (41.5% saved)

regimes145.0ms (4.5%)

Accuracy

Total 0.0b remaining (62.6%)

Threshold costs 0.0b (62.6%)

Compiler

Compiled 1227 to 894 computations (27.1% saved)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	11	13

end0.0ms (0%)

sample720.0ms (22.4%)

Algorithm

1×

intervals

Results

238.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 262 to 191 computations (27.1% saved)

Details

analyze72.0ms (2.2%)

sample16.0ms (0.5%)

simplify97.0ms (3%)

prune4.0ms (0.1%)

localize6.0ms (0.2%)

rewrite47.0ms (1.5%)

series181.0ms (5.6%)

simplify63.0ms (2%)

prune42.0ms (1.3%)

localize11.0ms (0.3%)

rewrite209.0ms (6.5%)

series1.3s (38.9%)

simplify81.0ms (2.5%)

prune269.0ms (8.4%)

regimes145.0ms (4.5%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample720.0ms (22.4%)

Profiling