Details

analyze326.0ms (5%)

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)

sample18.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	233×	body	128	valid
1.0ms	11×	body	1024	valid
1.0ms	8×	body	512	valid
0.0ms	3×	body	2048	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify170.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	149	13
1	149	13

prune5.0ms (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 38 to 32 computations (15.8% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64_6310`
3×	`*-un-lft-identity_binary64_6271` `sum-log_binary64_6362`
1×	`pow1_binary64_6332` `+-commutative_binary64_6201` `distribute-lft-out_binary64_6222` `flip3-+_binary64_6274` `add-cube-cbrt_binary64_6306` `add-exp-log_binary64_6309` `associate-+r+_binary64_6203` `add-cbrt-cube_binary64_6307` `flip-+_binary64_6245` `add-sqr-sqrt_binary64_6293`

Counts

1 → 14

Calls

1 calls:

12.0ms

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

series35.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5220	299

prune27.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	4	18

Merged error: 0.0b

Counts

18 → 4

Compiler

Compiled 530 to 327 computations (38.3% saved)

localize13.0ms (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))))
0.6b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.6b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.6b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

rewrite57.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_6302`
35×	`*-un-lft-identity_binary64_6271`
23×	`add-sqr-sqrt_binary64_6293`
18×	`cbrt-div_binary64_6303`
15×	`add-cube-cbrt_binary64_6306`
11×	`pow1_binary64_6332`
9×	`swap-sqr_binary64_6238` `distribute-lft-out_binary64_6222` `flip3-+_binary64_6274` `pow1/3_binary64_6353` `flip-+_binary64_6245`
7×	`associate-r_binary64_6211` `associate-l_binary64_6212`
6×	`add-exp-log_binary64_6309`
4×	`unswap-sqr_binary64_6239` `frac-times_binary64_6281` `add-log-exp_binary64_6310` `add-cbrt-cube_binary64_6307`
2×	`pow-prod-up_binary64_6341` `pow-sqr_binary64_6244` `pow-prod-down_binary64_6342` `associate-l/_binary64_6214` `associate-r/_binary64_6213`
1×	`pow2_binary64_6352` `prod-exp_binary64_6320` `cbrt-unprod_binary64_6304` `pow-plus_binary64_6334` `*-commutative_binary64_6202`

Counts

4 → 95

Calls

4 calls:

21.0ms	(.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
8.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
8.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
8.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

series1.4s (21.6%)

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))))
334.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
331.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
326.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

simplify97.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4896	2850
1	4896	2850

prune283.0ms (4.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	102	5	107
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	103	8	111

Merged error: 0.0b

Counts

111 → 8

Compiler

Compiled 6525 to 3969 computations (39.2% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.6b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.6b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.6b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

rewrite40.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`cbrt-prod_binary64_6302` `*-un-lft-identity_binary64_6271`
8×	`cbrt-div_binary64_6303` `add-cube-cbrt_binary64_6306` `add-sqr-sqrt_binary64_6293`
4×	`pow1_binary64_6332` `distribute-lft-out_binary64_6222` `flip3-+_binary64_6274` `add-log-exp_binary64_6310` `add-exp-log_binary64_6309` `pow1/3_binary64_6353` `add-cbrt-cube_binary64_6307` `flip-+_binary64_6245`

Counts

4 → 56

Calls

4 calls:

8.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
8.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
8.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
8.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

series1.3s (19.8%)

Counts

4 → 12

Calls

4 calls:

329.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
328.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
327.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
322.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

simplify75.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4902	1576
1	4902	1576

prune166.0ms (2.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	68	8	76

Merged error: 0.0b

Counts

76 → 8

Compiler

Compiled 3975 to 2358 computations (40.7% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.6b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.6b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.6b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

rewrite43.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`cbrt-prod_binary64_6302` `*-un-lft-identity_binary64_6271`
8×	`cbrt-div_binary64_6303` `add-cube-cbrt_binary64_6306` `add-sqr-sqrt_binary64_6293`
4×	`pow1_binary64_6332` `distribute-lft-out_binary64_6222` `flip3-+_binary64_6274` `add-log-exp_binary64_6310` `add-exp-log_binary64_6309` `pow1/3_binary64_6353` `add-cbrt-cube_binary64_6307` `flip-+_binary64_6245`

Counts

4 → 56

Calls

4 calls:

11.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
8.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
8.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
8.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

series1.3s (19.5%)

Counts

4 → 12

Calls

4 calls:

333.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
324.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
320.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
311.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

simplify78.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4902	1576
1	4902	1576

prune230.0ms (3.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	68	8	76

Merged error: 0.0b

Counts

76 → 8

Compiler

Compiled 5256 to 3342 computations (36.4% saved)

regimes78.0ms (1.2%)

Compiler: Compiled 1035 to 723 computations (30.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample715.0ms (10.8%)

Algorithm

1×

intervals

Results

221.0ms	7428×	body	128	valid
20.0ms	202×	body	1024	valid
14.0ms	185×	body	512	valid
9.0ms	75×	body	2048	valid
6.0ms	110×	body	256	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 364 to 255 computations (29.9% saved)

Details

analyze326.0ms (5%)

sample18.0ms (0.3%)

simplify170.0ms (2.6%)

prune5.0ms (0.1%)

localize6.0ms (0.1%)

rewrite13.0ms (0.2%)

series35.0ms (0.5%)

simplify58.0ms (0.9%)

prune27.0ms (0.4%)

localize13.0ms (0.2%)

rewrite57.0ms (0.9%)

series1.4s (21.6%)

simplify97.0ms (1.5%)

prune283.0ms (4.3%)

localize18.0ms (0.3%)

rewrite40.0ms (0.6%)

series1.3s (19.8%)

simplify75.0ms (1.1%)

prune166.0ms (2.5%)

localize20.0ms (0.3%)

rewrite43.0ms (0.6%)

series1.3s (19.5%)

simplify78.0ms (1.2%)

prune230.0ms (3.5%)

regimes78.0ms (1.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample715.0ms (10.8%)

Profiling