Details

analyze708.0ms (15.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	779	40
1	779	40
0	3	3
1	3	3

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample26.0ms (0.6%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	26×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify39.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune3.0ms (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 14 to 12 computations (14.3% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_4874`
6×	`*-un-lft-identity_binary64_4852`
5×	`associate-l_binary64_4793`
4×	`add-exp-log_binary64_4890` `add-cube-cbrt_binary64_4887` `add-cbrt-cube_binary64_4888` `add-log-exp_binary64_4891` `pow1_binary64_4913`
3×	`associate-r_binary64_4792`
2×	`associate-*l/_binary64_4795`
1×	`difference-of-squares_binary64_4821` `distribute-lft-out--_binary64_4804` `+-commutative_binary64_4782` `flip3--_binary64_4856` `unswap-sqr_binary64_4820` `cbrt-unprod_binary64_4885` `flip-+_binary64_4826` `prod-exp_binary64_4901` `flip--_binary64_4827` `pow-prod-down_binary64_4923` `flip3-+_binary64_4855` `sum-log_binary64_4943` `*-commutative_binary64_4783`

Counts

2 → 33

Calls

2 calls:

13.0ms	(*.f64 (-.f64 y x) z)
6.0ms	(+.f64 x (*.f64 (-.f64 y x) z))

series397.0ms (8.6%)

Counts

2 → 33

Calls

2 calls:

229.0ms	(+.f64 x (*.f64 (-.f64 y x) z))
168.0ms	(*.f64 (-.f64 y x) z)

Compiler

Compiled 387 to 328 computations (15.2% saved)

simplify71.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5343	634

prune66.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	2	67

Error

0.0b

Counts

67 → 2

Compiler

Compiled 633 to 135 computations (78.7% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 y x))
0.0b	(sqrt.f64 (-.f64 y x))
0.1b	(*.f64 z (sqrt.f64 (-.f64 y x)))
0.2b	(.f64 (sqrt.f64 (-.f64 y x)) (.f64 z (sqrt.f64 (-.f64 y x))))

rewrite67.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64_4874`
21×	`sqrt-prod_binary64_4868`
19×	`*-un-lft-identity_binary64_4852`
18×	`sqrt-div_binary64_4869`
13×	`pow1_binary64_4913`
11×	`add-exp-log_binary64_4890` `associate-l_binary64_4793` `add-cube-cbrt_binary64_4887` `add-cbrt-cube_binary64_4888`
10×	`associate-*r/_binary64_4794`
9×	`flip3--_binary64_4856` `associate-r_binary64_4792` `flip--_binary64_4827`
4×	`difference-of-squares_binary64_4821` `distribute-lft-out--_binary64_4804` `frac-times_binary64_4862` `cbrt-unprod_binary64_4885` `add-log-exp_binary64_4891` `prod-exp_binary64_4901` `pow-prod-down_binary64_4923`
2×	`unswap-sqr_binary64_4820` `pow1/2_binary64_4932` `sqrt-pow1_binary64_4870` `rem-sqrt-square_binary64_4865` `associate-l/_binary64_4795` `-commutative_binary64_4783`

Counts

4 → 91

Calls

4 calls:

23.0ms	(.f64 (sqrt.f64 (-.f64 y x)) (.f64 z (sqrt.f64 (-.f64 y x))))
18.0ms	(*.f64 z (sqrt.f64 (-.f64 y x)))
6.0ms	(sqrt.f64 (-.f64 y x))
6.0ms	(sqrt.f64 (-.f64 y x))

series541.0ms (11.7%)

Counts

4 → 47

Calls

4 calls:

207.0ms	(*.f64 z (sqrt.f64 (-.f64 y x)))
162.0ms	(.f64 (sqrt.f64 (-.f64 y x)) (.f64 z (sqrt.f64 (-.f64 y x))))
87.0ms	(sqrt.f64 (-.f64 y x))
85.0ms	(sqrt.f64 (-.f64 y x))

Compiler

Compiled 1211 to 915 computations (24.4% saved)

simplify121.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5093	1703

prune162.0ms (3.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	137	3	140

Error

Counts

140 → 3

Compiler

Compiled 2294 to 543 computations (76.3% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (*.f64 (sqrt.f64 (-.f64 y x)) z) 3)
0.1b	(*.f64 (sqrt.f64 (-.f64 y x)) z)
0.2b	(.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (-.f64 y x)) z) 3)))
16.7b	(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 y x)) z) 3))

rewrite81.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_4874`
20×	`cbrt-prod_binary64_4883`
18×	`sqrt-div_binary64_4869`
17×	`*-un-lft-identity_binary64_4852`
16×	`associate-l_binary64_4793`
14×	`associate-r_binary64_4792` `associate-*l/_binary64_4795` `sqrt-prod_binary64_4868`
13×	`add-cube-cbrt_binary64_4887`
11×	`add-exp-log_binary64_4890` `pow1_binary64_4913`
10×	`add-cbrt-cube_binary64_4888` `cube-div_binary64_4881`
9×	`flip3--_binary64_4856` `flip--_binary64_4827`
8×	`unswap-sqr_binary64_4820` `cbrt-div_binary64_4884`
5×	`sqr-pow_binary64_4824`
4×	`frac-times_binary64_4862` `add-log-exp_binary64_4891`
3×	`cube-prod_binary64_4880` `cbrt-unprod_binary64_4885` `cube-mult_binary64_4882` `unpow-prod-down_binary64_4931` `prod-exp_binary64_4901` `pow-unpow_binary64_4929` `unpow3_binary64_4918` `pow-prod-down_binary64_4923`
2×	`difference-of-squares_binary64_4821` `distribute-lft-out--_binary64_4804` `pow-pow_binary64_4924` `rem-cube-cbrt_binary64_4875` `associate-r/_binary64_4794` `pow-exp_binary64_4920` `-commutative_binary64_4783`
1×	`pow1/3_binary64_4934` `pow-to-exp_binary64_4921` `rem-cbrt-cube_binary64_4876`

Counts

4 → 113

Calls

4 calls:

24.0ms	(.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (-.f64 y x)) z) 3)))
14.0ms	(*.f64 (sqrt.f64 (-.f64 y x)) z)
13.0ms	(pow.f64 (*.f64 (sqrt.f64 (-.f64 y x)) z) 3)
6.0ms	(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 y x)) z) 3))

series865.0ms (18.7%)

Counts

4 → 49

Calls

4 calls:

308.0ms	(pow.f64 (*.f64 (sqrt.f64 (-.f64 y x)) z) 3)
202.0ms	(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 y x)) z) 3))
178.0ms	(*.f64 (sqrt.f64 (-.f64 y x)) z)
177.0ms	(.f64 (sqrt.f64 (-.f64 y x)) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (-.f64 y x)) z) 3)))

Compiler

Compiled 1559 to 1207 computations (22.6% saved)

simplify122.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5218	2435

prune212.0ms (4.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	162	3	165

Error

Counts

165 → 3

Compiler

Compiled 3103 to 931 computations (70% saved)

regimes131.0ms (2.8%)

Accuracy

Total 0.0b remaining (21.4%)

Threshold costs 0.0b (21.4%)

Compiler

Compiled 308 to 278 computations (9.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample950.0ms (20.5%)

Algorithm

1×

intervals

Results

365.0ms	8000×	body	128	valid
23.0ms	529×	body	128	invalid

Compiler

Compiled 87 to 78 computations (10.3% saved)

Details

analyze708.0ms (15.3%)

sample26.0ms (0.6%)

simplify39.0ms (0.8%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite22.0ms (0.5%)

series397.0ms (8.6%)

simplify71.0ms (1.5%)

prune66.0ms (1.4%)

localize14.0ms (0.3%)

rewrite67.0ms (1.4%)

series541.0ms (11.7%)

simplify121.0ms (2.6%)

prune162.0ms (3.5%)

localize20.0ms (0.4%)

rewrite81.0ms (1.7%)

series865.0ms (18.7%)

simplify122.0ms (2.6%)

prune212.0ms (4.6%)

regimes131.0ms (2.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample950.0ms (20.5%)

Profiling