Details

analyze12.0ms (0.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	18.7%	81.3%	0
0%	18.7%	81.3%	1
0%	18.7%	81.3%	2
0%	18.7%	81.3%	3
0%	18.7%	81.3%	4
4.7%	14%	81.3%	5
5.3%	13.5%	81.3%	6
18.1%	0.6%	81.3%	7
18.1%	0.6%	81.3%	8
18.6%	0.1%	81.3%	9
18.6%	0.1%	81.3%	10
18.7%	0%	81.3%	11
18.7%	0%	81.3%	12
18.7%	0%	81.3%	13
18.7%	0%	81.3%	14

Compiler

Compiled 23 to 15 computations (34.8% saved)

sample22.0ms (1.1%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify266.0ms (13.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (170.0ms)

Iter	Nodes	Cost
0	4979	22
1	4979	22

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

Merged error: 23.1b

Counts

2 → 1

Compiler

Compiled 30 to 18 computations (40% saved)

localize12.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y y))
22.8b	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

rewrite20.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`associate-/l/_binary64_1389`
7×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
5×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
4×	`add-log-exp_binary64_1481` `add-sqr-sqrt_binary64_1464` `frac-times_binary64_1452` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
3×	`associate-/r*_binary64_1386` `times-frac_binary64_1448` `flip3--_binary64_1446` `flip--_binary64_1417`
2×	`associate-r/_binary64_1384` `cbrt-undiv_binary64_1476` `associate-/r/_binary64_1388` `pow1_binary64_1503` `associate-l/_binary64_1385` `div-exp_binary64_1493`
1×	`cbrt-unprod_binary64_1475` `sum-log_binary64_1533` `div-inv_binary64_1439` `clear-num_binary64_1441` `associate-/l*_binary64_1387` `+-commutative_binary64_1372` `frac-2neg_binary64_1453` `prod-exp_binary64_1491`

Counts

2 → 42

Calls

2 calls:

13.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
4.0ms	(+.f64 (.f64 x x) (.f64 y y))

series71.0ms (3.6%)

Counts

2 → 6

Calls

2 calls:

47.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
24.0ms	(+.f64 (.f64 x x) (.f64 y y))

simplify35.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5131	969

prune46.0ms (2.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	4	49

Merged error: 0.7b

Counts

49 → 4

Compiler

Compiled 1116 to 208 computations (81.4% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	0	0
Total	4	4

Merged error: 0.7b

Counts

4 → 4

Compiler

Compiled 84 to 22 computations (73.8% saved)

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y))))
22.8b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))
22.8b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))
22.8b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))

rewrite57.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`times-frac_binary64_1448`
39×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
18×	`cbrt-prod_binary64_1473`
15×	`difference-of-squares_binary64_1411`
12×	`associate-/l*_binary64_1387`
10×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
9×	`associate-/r*_binary64_1386`
8×	`associate-/r/_binary64_1388`
6×	`associate-/l/_binary64_1389`
4×	`div-inv_binary64_1439` `add-log-exp_binary64_1481` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow1_binary64_1503`
3×	`cbrt-undiv_binary64_1476` `clear-num_binary64_1441` `flip3--_binary64_1446` `flip--_binary64_1417` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `div-exp_binary64_1493`
1×	`cbrt-div_binary64_1474` `pow1/3_binary64_1524`

Counts

4 → 135

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))
9.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))
9.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))
7.0ms	(cbrt.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y))))

series186.0ms (9.4%)

Counts

4 → 12

Calls

4 calls:

81.0ms	(cbrt.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y))))
36.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))
35.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))
34.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))

simplify90.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4954	4581
1	4954	4581

prune170.0ms (8.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	147	4	151

Merged error: 0.7b

Counts

151 → 4

Compiler

Compiled 8821 to 599 computations (93.2% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Merged error: 0.7b

Counts

4 → 4

Compiler

Compiled 0 to 0 computations (0% saved)

regimes115.0ms (5.8%)

Compiler: Compiled 556 to 224 computations (59.7% saved)

bsearch51.0ms (2.6%)

Steps

Iters	Range	Point
10	1.4875825210199452e-163	7.587965355844298e-147	1.5567784603269013e-162
7	-5.152043851139672e-162	-1.0787752876574909e-163	-1.588154503957242e-162
8	-5.421059955652934e+155	-3.472785421545056e+152	-1.3282479787246062e+154

Iters

Range

Point

1.4875825210199452e-163

7.587965355844298e-147

1.5567784603269013e-162

-5.152043851139672e-162

-1.0787752876574909e-163

-1.588154503957242e-162

-5.421059955652934e+155

-3.472785421545056e+152

-1.3282479787246062e+154

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	118
1	50	118

end0.0ms (0%)

sample800.0ms (40.2%)

Algorithm

1×

intervals

Results

308.0ms	8000×	body	128	valid
162.0ms	8000×	pre	128	true

Compiler

Compiled 312 to 130 computations (58.3% saved)

Details

analyze12.0ms (0.6%)

sample22.0ms (1.1%)

simplify266.0ms (13.4%)

prune3.0ms (0.1%)

localize12.0ms (0.6%)

rewrite20.0ms (1%)

series71.0ms (3.6%)

simplify35.0ms (1.8%)

prune46.0ms (2.3%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.3%)

prune3.0ms (0.2%)

localize11.0ms (0.6%)

rewrite57.0ms (2.9%)

series186.0ms (9.4%)

simplify90.0ms (4.5%)

prune170.0ms (8.5%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.3%)

prune1.0ms (0%)

regimes115.0ms (5.8%)

bsearch51.0ms (2.6%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample800.0ms (40.2%)

Profiling