Details

analyze617.0ms (7.2%)

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
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample31.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	231×	body	128	valid
2.0ms	8×	body	2048	valid
1.0ms	6×	body	1024	valid
1.0ms	6×	body	512	valid
0.0ms	5×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify158.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	149	13
1	149	13

prune7.0ms (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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64_3186`
3×	`*-un-lft-identity_binary64_3147` `sum-log_binary64_3238`
1×	`add-exp-log_binary64_3185` `flip-+_binary64_3121` `add-cbrt-cube_binary64_3183` `flip3-+_binary64_3150` `add-sqr-sqrt_binary64_3169` `distribute-lft-out_binary64_3098` `pow1_binary64_3208` `+-commutative_binary64_3077` `associate-+r+_binary64_3079` `add-cube-cbrt_binary64_3182`

Counts

1 → 14

Calls

1 calls:

16.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

series32.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

32.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

simplify106.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5241	299

prune28.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	3	18

Merged error: 0.1b

Counts

18 → 3

Compiler

Compiled 299 to 166 computations (44.5% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite98.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_3178`
35×	`*-un-lft-identity_binary64_3147`
23×	`add-sqr-sqrt_binary64_3169`
18×	`cbrt-div_binary64_3179`
15×	`add-cube-cbrt_binary64_3182`
11×	`pow1_binary64_3208`
9×	`pow1/3_binary64_3229` `flip-+_binary64_3121` `swap-sqr_binary64_3114` `flip3-+_binary64_3150` `distribute-lft-out_binary64_3098`
7×	`associate-r_binary64_3087` `associate-l_binary64_3088`
6×	`add-exp-log_binary64_3185`
4×	`frac-times_binary64_3157` `unswap-sqr_binary64_3115` `add-cbrt-cube_binary64_3183` `add-log-exp_binary64_3186`
2×	`pow-prod-down_binary64_3218` `associate-l/_binary64_3090` `pow-prod-up_binary64_3217` `associate-r/_binary64_3089` `pow-sqr_binary64_3120`
1×	`*-commutative_binary64_3078` `prod-exp_binary64_3196` `pow-plus_binary64_3210` `pow2_binary64_3228` `cbrt-unprod_binary64_3180`

Counts

4 → 95

Calls

4 calls:

34.0ms	(.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
13.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
12.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
12.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

series1.5s (17.6%)

Counts

4 → 12

Calls

4 calls:

431.0ms	(.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
415.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
353.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
324.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

simplify170.0ms (2%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4922	2850
1	4922	2850

prune333.0ms (3.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	102	5	107
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	102	8	110

Merged error: 0.0b

Counts

110 → 8

Compiler

Compiled 4374 to 2500 computations (42.8% saved)

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite68.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_3147` `cbrt-prod_binary64_3178`
8×	`cbrt-div_binary64_3179` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
4×	`pow1/3_binary64_3229` `add-exp-log_binary64_3185` `flip-+_binary64_3121` `add-cbrt-cube_binary64_3183` `flip3-+_binary64_3150` `distribute-lft-out_binary64_3098` `pow1_binary64_3208` `add-log-exp_binary64_3186`

Counts

4 → 56

Calls

4 calls:

15.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
14.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
13.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
10.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

series1.2s (14.2%)

Counts

4 → 12

Calls

4 calls:

316.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
311.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
308.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
292.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

simplify109.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4950	1576
1	4950	1576

prune271.0ms (3.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	68	8	76

Merged error: 0.0b

Counts

76 → 8

Compiler

Compiled 3912 to 2316 computations (40.8% saved)

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite63.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_3147` `cbrt-prod_binary64_3178`
8×	`cbrt-div_binary64_3179` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
4×	`pow1/3_binary64_3229` `add-exp-log_binary64_3185` `flip-+_binary64_3121` `add-cbrt-cube_binary64_3183` `flip3-+_binary64_3150` `distribute-lft-out_binary64_3098` `pow1_binary64_3208` `add-log-exp_binary64_3186`

Counts

4 → 56

Calls

4 calls:

13.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
13.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
13.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
13.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

series1.3s (15.2%)

Counts

4 → 12

Calls

4 calls:

333.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
328.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
325.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
321.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

simplify110.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4950	1576
1	4950	1576

prune269.0ms (3.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	68	8	76

Merged error: 0.0b

Counts

76 → 8

Compiler

Compiled 3732 to 2191 computations (41.3% saved)

regimes307.0ms (3.6%)

Compiler: Compiled 2248 to 1574 computations (30% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample1.7s (19.4%)

Algorithm

1×

intervals

Results

394.0ms	7481×	body	128	valid
37.0ms	195×	body	1024	valid
24.0ms	87×	body	2048	valid
23.0ms	140×	body	512	valid
10.0ms	97×	body	256	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 576 to 405 computations (29.7% saved)

Details

analyze617.0ms (7.2%)

sample31.0ms (0.4%)

simplify158.0ms (1.8%)

prune7.0ms (0.1%)

localize13.0ms (0.1%)

rewrite17.0ms (0.2%)

series32.0ms (0.4%)

simplify106.0ms (1.2%)

prune28.0ms (0.3%)

localize20.0ms (0.2%)

rewrite98.0ms (1.1%)

series1.5s (17.6%)

simplify170.0ms (2%)

prune333.0ms (3.9%)

localize37.0ms (0.4%)

rewrite68.0ms (0.8%)

series1.2s (14.2%)

simplify109.0ms (1.3%)

prune271.0ms (3.1%)

localize32.0ms (0.4%)

rewrite63.0ms (0.7%)

series1.3s (15.2%)

simplify110.0ms (1.3%)

prune269.0ms (3.1%)

regimes307.0ms (3.6%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.7s (19.4%)

Profiling