Details

analyze83.0ms (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
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
43.7%	34.3%	22%	7
46.8%	29.7%	23.5%	8
58.5%	17.2%	24.3%	9
60.5%	14.8%	24.7%	10
66.5%	8.6%	24.9%	11
67.6%	7.4%	25%	12
70.7%	4.3%	25%	13
71.2%	3.7%	25%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample24.0ms (0.9%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify153.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	90	7
1	90	7

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 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_2845`
2×	`add-sqr-sqrt_binary64_2828`
1×	`cancel-sign-sub-inv_binary64_2772` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `flip3--_binary64_2810` `diff-log_binary64_2898` `*-un-lft-identity_binary64_2806` `sub-neg_binary64_2799` `flip--_binary64_2781` `add-cube-cbrt_binary64_2841` `difference-of-squares_binary64_2775` `pow1_binary64_2867`

Counts

1 → 13

Calls

1 calls:

4.0ms

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

series26.0ms (1%)

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify68.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5263	172

prune24.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Error

0.0b

Counts

17 → 2

Compiler

Compiled 164 to 49 computations (70.1% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite38.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`cbrt-prod_binary64_2837`
30×	`add-sqr-sqrt_binary64_2828`
18×	`cbrt-div_binary64_2838`
15×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
11×	`pow1_binary64_2867`
9×	`pow1/3_binary64_2888` `flip3--_binary64_2810` `flip--_binary64_2781`
7×	`associate-l_binary64_2747` `swap-sqr_binary64_2773` `associate-r_binary64_2746` `difference-of-squares_binary64_2775`
6×	`add-exp-log_binary64_2844`
4×	`frac-times_binary64_2816` `add-cbrt-cube_binary64_2842` `add-log-exp_binary64_2845` `unswap-sqr_binary64_2774`
2×	`pow-sqr_binary64_2779` `pow-prod-up_binary64_2876` `associate-r/_binary64_2748` `pow-prod-down_binary64_2877` `associate-l/_binary64_2749`
1×	`*-commutative_binary64_2737` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `pow2_binary64_2887` `pow-plus_binary64_2869`

Counts

4 → 93

Calls

4 calls:

14.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 y y))) (cbrt.f64 (-.f64 x (*.f64 y y))))
5.0ms	(cbrt.f64 (-.f64 x (*.f64 y y)))
5.0ms	(cbrt.f64 (-.f64 x (*.f64 y y)))
5.0ms	(cbrt.f64 (-.f64 x (*.f64 y y)))

series1.4s (51.5%)

Counts

4 → 12

Calls

4 calls:

450.0ms	(.f64 (cbrt.f64 (-.f64 x (.f64 y y))) (cbrt.f64 (-.f64 x (*.f64 y y))))
362.0ms	(cbrt.f64 (-.f64 x (*.f64 y y)))
313.0ms	(cbrt.f64 (-.f64 x (*.f64 y y)))
300.0ms	(cbrt.f64 (-.f64 x (*.f64 y y)))

simplify179.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (156.0ms)

Iter	Nodes	Cost
0	4897	1865
1	4897	1865

prune122.0ms (4.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	105	2	107

Error

0.0b

Counts

107 → 2

Compiler

Compiled 2673 to 573 computations (78.6% saved)

regimes51.0ms (1.8%)

Accuracy

Total 0.0b remaining (34.8%)

Threshold costs 0.0b (34.8%)

Compiler

Compiled 232 to 134 computations (42.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	23	7

end0.0ms (0%)

sample546.0ms (19.7%)

Algorithm

1×

intervals

Results

208.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 64 to 39 computations (39.1% saved)

Details

analyze83.0ms (3%)

sample24.0ms (0.9%)

simplify153.0ms (5.5%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite4.0ms (0.2%)

series26.0ms (1%)

simplify68.0ms (2.5%)

prune24.0ms (0.9%)

localize15.0ms (0.5%)

rewrite38.0ms (1.4%)

series1.4s (51.5%)

simplify179.0ms (6.5%)

prune122.0ms (4.4%)

regimes51.0ms (1.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample546.0ms (19.7%)

Profiling