Details

analyze1.1s (12.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5233	91
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
28.1%	68.6%	3.3%	10
29.6%	65.5%	4.9%	11
32%	61.7%	6.3%	12
35.5%	56.9%	7.6%	13
48%	38.7%	13.4%	14

Symmetry

(sort d2 d4)

Compiler

Compiled 16 to 12 computations (25% saved)

sample34.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
3.0ms	73×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify85.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	1064	13
1	1064	13

prune4.0ms (0%)

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 → 2

Compiler

Compiled 33 to 27 computations (18.2% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
0.0b	(-.f64 (.f64 d1 d2) (.f64 d1 d3))
0.0b	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))

rewrite65.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-log-exp_binary64_5232`
6×	`diff-log_binary64_5285`
4×	`sum-log_binary64_5284` `add-sqr-sqrt_binary64_5215`
3×	`pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193` `sub-neg_binary64_5186` `cancel-sign-sub-inv_binary64_5159`
2×	`associate-+l-_binary64_5128` `associate-+l+_binary64_5126` `flip3--_binary64_5197` `flip--_binary64_5168`
1×	`flip3-+_binary64_5196` `flip-+_binary64_5167` `+-commutative_binary64_5123` `distribute-lft-out--_binary64_5145` `difference-of-squares_binary64_5162` `associate--l-_binary64_5131` `associate--l+_binary64_5130`

Counts

3 → 45

Calls

3 calls:

10.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
8.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))
7.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))

Compiler

Compiled 1129 to 181 computations (84% saved)

series586.0ms (6.4%)

Error

0.0b

Counts

3 → 60

Calls

3 calls:

246.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
202.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
102.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 1889 to 1092 computations (42.2% saved)

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5185	1207

prune73.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	101	4	105
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	102	5	107

Error

0.0b

Counts

107 → 5

Compiler

Compiled 1473 to 256 computations (82.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 (-.f64 (+.f64 d4 d2) d3) d1) (.f64 d1 d1))
0.0b	(*.f64 (-.f64 (+.f64 d4 d2) d3) d1)

rewrite51.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`*-un-lft-identity_binary64_5193`
8×	`add-sqr-sqrt_binary64_5215`
6×	`associate-l_binary64_5134`
4×	`pow1_binary64_5254` `add-exp-log_binary64_5231` `add-log-exp_binary64_5232` `add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228`
3×	`associate-r_binary64_5133`
2×	`flip3--_binary64_5197` `associate-*l/_binary64_5136` `flip--_binary64_5168` `distribute-lft-out--_binary64_5145`
1×	`pow-prod-down_binary64_5264` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `unswap-sqr_binary64_5161` `difference-of-squares_binary64_5162` `distribute-lft-out_binary64_5144` `*-commutative_binary64_5124` `diff-log_binary64_5285` `sub-neg_binary64_5186` `cancel-sign-sub-inv_binary64_5159` `distribute-rgt-out--_binary64_5147`

Counts

2 → 36

Calls

2 calls:

11.0ms	(-.f64 (.f64 (-.f64 (+.f64 d4 d2) d3) d1) (.f64 d1 d1))
10.0ms	(*.f64 (-.f64 (+.f64 d4 d2) d3) d1)

Compiler

Compiled 711 to 146 computations (79.5% saved)

series444.0ms (4.8%)

Error

0.0b

Counts

2 → 45

Calls

2 calls:

266.0ms	(-.f64 (.f64 (-.f64 (+.f64 d4 d2) d3) d1) (.f64 d1 d1))
154.0ms	(*.f64 (-.f64 (+.f64 d4 d2) d3) d1)

Compiler

Compiled 1334 to 803 computations (39.8% saved)

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5010	957

prune54.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	0	3	3
Picked	0	1	1
Done	1	0	1
Total	80	6	86

Error

Counts

86 → 6

Compiler

Compiled 1117 to 244 computations (78.2% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (-.f64 (+.f64 d4 d2) d3) d1)) (cbrt.f64 (*.f64 (-.f64 (+.f64 d4 d2) d3) d1)))
1.7b	(cbrt.f64 (*.f64 (-.f64 (+.f64 d4 d2) d3) d1))
1.7b	(cbrt.f64 (*.f64 (-.f64 (+.f64 d4 d2) d3) d1))
1.7b	(cbrt.f64 (*.f64 (-.f64 (+.f64 d4 d2) d3) d1))

rewrite121.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`associate-*l/_binary64_5136`
18×	`cbrt-div_binary64_5225`
11×	`pow1_binary64_5254`
10×	`add-sqr-sqrt_binary64_5215`
9×	`pow1/3_binary64_5275` `flip3--_binary64_5197` `flip--_binary64_5168`
8×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
7×	`cbrt-prod_binary64_5224`
6×	`add-exp-log_binary64_5231`
4×	`add-log-exp_binary64_5232` `add-cbrt-cube_binary64_5229` `frac-times_binary64_5203` `swap-sqr_binary64_5160` `associate-l_binary64_5134` `associate-r_binary64_5133`
2×	`pow-prod-down_binary64_5264` `pow-prod-up_binary64_5263` `pow-sqr_binary64_5166` `associate-*r/_binary64_5135`
1×	`pow2_binary64_5274` `pow-plus_binary64_5256` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `unswap-sqr_binary64_5161` `*-commutative_binary64_5124`

Counts

4 → 72

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 (+.f64 d4 d2) d3) d1)) (cbrt.f64 (*.f64 (-.f64 (+.f64 d4 d2) d3) d1)))
8.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 d4 d2) d3) d1))
8.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 d4 d2) d3) d1))
8.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 d4 d2) d3) d1))

Compiler

Compiled 2903 to 376 computations (87% saved)

series2.5s (26.9%)

Error

Counts

4 → 90

Calls

4 calls:

710.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 (+.f64 d4 d2) d3) d1)) (cbrt.f64 (*.f64 (-.f64 (+.f64 d4 d2) d3) d1)))
527.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 d4 d2) d3) d1))
507.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 d4 d2) d3) d1))
493.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 d4 d2) d3) d1))

Compiler

Compiled 15602 to 10213 computations (34.5% saved)

simplify146.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4971	6418
1	4971	6418

prune242.0ms (2.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	162	6	168

Error

Counts

168 → 6

Compiler

Compiled 7503 to 2178 computations (71% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 (+.f64 d4 d2) d3)) (cbrt.f64 (-.f64 (+.f64 d4 d2) d3)))
0.5b	(cbrt.f64 (+.f64 d2 (-.f64 d4 d3)))
0.5b	(cbrt.f64 (-.f64 (+.f64 d4 d2) d3))
0.5b	(cbrt.f64 (-.f64 (+.f64 d4 d2) d3))

rewrite162.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

74×	`*-un-lft-identity_binary64_5193`
57×	`cbrt-prod_binary64_5224`
35×	`add-sqr-sqrt_binary64_5215`
21×	`distribute-lft-out--_binary64_5145`
18×	`cbrt-div_binary64_5225`
15×	`add-cube-cbrt_binary64_5228` `swap-sqr_binary64_5160`
12×	`distribute-lft-out_binary64_5144`
11×	`pow1_binary64_5254`
9×	`pow1/3_binary64_5275` `associate-l_binary64_5134` `associate-r_binary64_5133`
8×	`flip3--_binary64_5197` `flip--_binary64_5168`
6×	`add-exp-log_binary64_5231` `difference-of-squares_binary64_5162`
4×	`add-log-exp_binary64_5232` `add-cbrt-cube_binary64_5229` `frac-times_binary64_5203` `unswap-sqr_binary64_5161`
2×	`pow-prod-down_binary64_5264` `pow-prod-up_binary64_5263` `pow-sqr_binary64_5166` `associate-l/_binary64_5136` `associate-r/_binary64_5135`
1×	`flip3-+_binary64_5196` `flip-+_binary64_5167` `pow2_binary64_5274` `pow-plus_binary64_5256` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `*-commutative_binary64_5124`

Counts

4 → 110

Calls

4 calls:

19.0ms	(*.f64 (cbrt.f64 (-.f64 (+.f64 d4 d2) d3)) (cbrt.f64 (-.f64 (+.f64 d4 d2) d3)))
6.0ms	(cbrt.f64 (-.f64 (+.f64 d4 d2) d3))
6.0ms	(cbrt.f64 (-.f64 (+.f64 d4 d2) d3))
6.0ms	(cbrt.f64 (+.f64 d2 (-.f64 d4 d3)))

Compiler

Compiled 3924 to 620 computations (84.2% saved)

series1.1s (11.7%)

Error

Counts

4 → 59

Calls

4 calls:

489.0ms	(*.f64 (cbrt.f64 (-.f64 (+.f64 d4 d2) d3)) (cbrt.f64 (-.f64 (+.f64 d4 d2) d3)))
175.0ms	(cbrt.f64 (-.f64 (+.f64 d4 d2) d3))
169.0ms	(cbrt.f64 (-.f64 (+.f64 d4 d2) d3))
164.0ms	(cbrt.f64 (+.f64 d2 (-.f64 d4 d3)))

Compiler

Compiled 6708 to 4496 computations (33% saved)

simplify91.0ms (1%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4977	3065
1	4977	3065

prune162.0ms (1.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	169	6	175

Error

Counts

175 → 6

Compiler

Compiled 5193 to 1142 computations (78% saved)

regimes330.0ms (3.6%)

Accuracy

Total 0.0b remaining (89.1%)

Threshold costs 0.0b (89.1%)

Compiler

Compiled 3353 to 2279 computations (32% saved)

bsearch0.0ms (0%)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	230	16
1	230	16

Compiler

Compiled 22 to 18 computations (18.2% saved)

end0.0ms (0%)

sample1.7s (18.2%)

Algorithm

1×

intervals

Results

326.0ms	8000×	body	128	valid
103.0ms	2392×	body	128	invalid

Compiler

Compiled 699 to 478 computations (31.6% saved)

Details

analyze1.1s (12.1%)

sample34.0ms (0.4%)

simplify85.0ms (0.9%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite65.0ms (0.7%)

series586.0ms (6.4%)

simplify62.0ms (0.7%)

prune73.0ms (0.8%)

localize8.0ms (0.1%)

rewrite51.0ms (0.6%)

series444.0ms (4.8%)

simplify83.0ms (0.9%)

prune54.0ms (0.6%)

localize12.0ms (0.1%)

rewrite121.0ms (1.3%)

series2.5s (26.9%)

simplify146.0ms (1.6%)

prune242.0ms (2.6%)

localize15.0ms (0.2%)

rewrite162.0ms (1.8%)

series1.1s (11.7%)

simplify91.0ms (1%)

prune162.0ms (1.8%)

regimes330.0ms (3.6%)

bsearch0.0ms (0%)

simplify14.0ms (0.2%)

end0.0ms (0%)

sample1.7s (18.2%)

Profiling