Details

analyze1.9s (19.2%)

Algorithm

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

Symmetry

(sort d2 d4)

Compiler

Compiled 32 to 24 computations (25% saved)

sample1.2s (11.3%)

Algorithm

2×

intervals

Results

20.0ms	512×	body	128	valid
11.0ms	236×	body	128	invalid

Compiler

Compiled 5791 to 5787 computations (0.1% saved)

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	1064	13
1	1064	13

prune7.0ms (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 → 2

Compiler

Compiled 33 to 27 computations (18.2% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite34.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`*-un-lft-identity_binary64_4852`
6×	`associate-r_binary64_4792`
5×	`add-sqr-sqrt_binary64_4874`
3×	`pow1_binary64_4913` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `add-cube-cbrt_binary64_4887` `associate-l_binary64_4793` `distribute-lft-out_binary64_4803` `distribute-lft-out--_binary64_4804`
2×	`associate-*r/_binary64_4794`
1×	`pow-prod-down_binary64_4923` `prod-exp_binary64_4901` `add-log-exp_binary64_4891` `cbrt-unprod_binary64_4885` `unswap-sqr_binary64_4820` `distribute-rgt-in_binary64_4802` `distribute-lft-in_binary64_4801` `flip3-+_binary64_4855` `flip-+_binary64_4826` `*-commutative_binary64_4783`

Counts

1 → 25

Calls

1 calls:

11.0ms

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

Compiler

Compiled 427 to 89 computations (79.2% saved)

series292.0ms (2.9%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

271.0ms

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

Compiler

Compiled 660 to 445 computations (32.6% saved)

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4967	600
1	4967	600

prune40.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	47	4	51

Error

0.0b

Counts

51 → 4

Compiler

Compiled 594 to 119 computations (80% saved)

localize11.0ms (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))

rewrite68.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-log-exp_binary64_4891`
6×	`diff-log_binary64_4944`
4×	`sum-log_binary64_4943` `add-sqr-sqrt_binary64_4874`
3×	`pow1_binary64_4913` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852` `sub-neg_binary64_4845` `cancel-sign-sub-inv_binary64_4818`
2×	`associate-+l-_binary64_4787` `associate-+l+_binary64_4785` `flip3--_binary64_4856` `flip--_binary64_4827`
1×	`flip3-+_binary64_4855` `flip-+_binary64_4826` `+-commutative_binary64_4782` `distribute-lft-out--_binary64_4804` `difference-of-squares_binary64_4821` `associate--l-_binary64_4790` `associate--l+_binary64_4789`

Counts

3 → 45

Calls

3 calls:

9.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
7.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
4.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 1129 to 181 computations (84% saved)

series827.0ms (8.1%)

Error

0.0b

Counts

3 → 60

Calls

3 calls:

369.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
279.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
145.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 1889 to 1092 computations (42.2% saved)

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5185	1207

prune71.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	104	5	109

Error

0.0b

Counts

109 → 5

Compiler

Compiled 1442 to 240 computations (83.4% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))
0.3b	(pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3)
31.9b	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3))

rewrite102.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`*-un-lft-identity_binary64_4852`
9×	`add-sqr-sqrt_binary64_4874`
8×	`pow1_binary64_4913` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `cbrt-prod_binary64_4883`
7×	`add-cube-cbrt_binary64_4887`
6×	`associate-r/_binary64_4794` `associate-r*_binary64_4792`
4×	`cube-div_binary64_4881` `distribute-lft-out_binary64_4803`
3×	`add-log-exp_binary64_4891` `flip3-+_binary64_4855` `flip-+_binary64_4826` `pow-unpow_binary64_4929` `associate-l_binary64_4793`
2×	`cbrt-div_binary64_4884` `unpow-prod-down_binary64_4931` `unpow3_binary64_4918` `cube-mult_binary64_4882` `cube-prod_binary64_4880` `sqr-pow_binary64_4824` `pow-prod-down_binary64_4923` `pow-pow_binary64_4924` `prod-exp_binary64_4901` `pow-exp_binary64_4920` `rem-cube-cbrt_binary64_4875` `cbrt-unprod_binary64_4885` `distribute-lft-out--_binary64_4804`
1×	`pow1/3_binary64_4934` `rem-cbrt-cube_binary64_4876` `pow-to-exp_binary64_4921` `unswap-sqr_binary64_4820` `distribute-rgt-in_binary64_4802` `distribute-lft-in_binary64_4801` `*-commutative_binary64_4783`

Counts

3 → 68

Calls

3 calls:

11.0ms	(*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))
10.0ms	(pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3))

Compiler

Compiled 1490 to 435 computations (70.8% saved)

series2.1s (20.5%)

Error

0.0b

Counts

3 → 96

Calls

3 calls:

1.2s	(pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3)
295.0ms	(*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))
291.0ms	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3))

Compiler

Compiled 12206 to 9009 computations (26.2% saved)

simplify105.0ms (1%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4973	8723
1	4973	8723

prune321.0ms (3.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	164	5	169

Error

0.0b

Counts

169 → 5

Compiler

Compiled 6479 to 3342 computations (48.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))
0.2b	(.f64 (sqrt.f64 (.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))) (sqrt.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))))
2.0b	(sqrt.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))))
2.0b	(sqrt.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))))

rewrite188.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

61×	`pow1_binary64_4913`
32×	`sqrt-pow1_binary64_4870`
23×	`pow-prod-down_binary64_4923`
20×	`associate-*r/_binary64_4794`
19×	`*-un-lft-identity_binary64_4852`
16×	`sqrt-div_binary64_4869`
14×	`add-sqr-sqrt_binary64_4874`
12×	`pow1/2_binary64_4932`
10×	`add-cube-cbrt_binary64_4887` `pow-prod-up_binary64_4922` `associate-r_binary64_4792`
9×	`flip3-+_binary64_4855` `flip-+_binary64_4826`
8×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888`
7×	`associate-l_binary64_4793`
6×	`sqrt-prod_binary64_4868` `pow-sqr_binary64_4825`
4×	`add-log-exp_binary64_4891` `frac-times_binary64_4862` `swap-sqr_binary64_4819` `distribute-lft-out_binary64_4803`
2×	`prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `unswap-sqr_binary64_4820` `associate-l/_binary64_4795` `-commutative_binary64_4783` `distribute-lft-out--_binary64_4804`
1×	`pow2_binary64_4933` `pow-plus_binary64_4915` `sqrt-unprod_binary64_4872` `rem-square-sqrt_binary64_4864` `distribute-rgt-in_binary64_4802` `distribute-lft-in_binary64_4801`

Counts

4 → 108

Calls

4 calls:

22.0ms	(.f64 (sqrt.f64 (.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))) (sqrt.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))))
14.0ms	(*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))
9.0ms	(sqrt.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))))
8.0ms	(sqrt.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))))

Compiler

Compiled 3241 to 455 computations (86% saved)

series956.0ms (9.4%)

Error

0.0b

Counts

4 → 77

Calls

4 calls:

269.0ms	(*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))
244.0ms	(.f64 (sqrt.f64 (.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))) (sqrt.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))))
201.0ms	(sqrt.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))))
193.0ms	(sqrt.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))))

Compiler

Compiled 4415 to 2490 computations (43.6% saved)

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5137	2704

prune139.0ms (1.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	185	5	190

Error

0.0b

Counts

190 → 5

Compiler

Compiled 3728 to 445 computations (88.1% saved)

regimes257.0ms (2.5%)

Accuracy

Total 0.0b remaining (86.2%)

Threshold costs 0.0b (86.2%)

Compiler

Compiled 2268 to 1689 computations (25.5% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	16
1	38	16

Remove

(sort d2 d4)

Compiler

Compiled 22 to 18 computations (18.2% saved)

end0.0ms (0%)

sample1.3s (12.4%)

Algorithm

1×

intervals

Results

304.0ms	8000×	body	128	valid
155.0ms	3817×	body	128	invalid

Compiler

Compiled 482 to 360 computations (25.3% saved)

Details

analyze1.9s (19.2%)

sample1.2s (11.3%)

simplify79.0ms (0.8%)

prune7.0ms (0.1%)

localize7.0ms (0.1%)

rewrite34.0ms (0.3%)

series292.0ms (2.9%)

simplify64.0ms (0.6%)

prune40.0ms (0.4%)

localize11.0ms (0.1%)

rewrite68.0ms (0.7%)

series827.0ms (8.1%)

simplify56.0ms (0.6%)

prune71.0ms (0.7%)

localize12.0ms (0.1%)

rewrite102.0ms (1%)

series2.1s (20.5%)

simplify105.0ms (1%)

prune321.0ms (3.2%)

localize9.0ms (0.1%)

rewrite188.0ms (1.9%)

series956.0ms (9.4%)

simplify67.0ms (0.7%)

prune139.0ms (1.4%)

regimes257.0ms (2.5%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample1.3s (12.4%)

Profiling