Details

analyze14.0ms (0.4%)

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)

sample24.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
6.0ms	256×	pre	128	true

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify241.0ms (7.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4946	22
1	4946	22

prune2.0ms (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: 18.1b

Counts

2 → 1

Compiler

Compiled 30 to 18 computations (40% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y y))
17.9b	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

rewrite24.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`associate-/l/_binary64_1374`
7×	`add-cbrt-cube_binary64_1458` `add-exp-log_binary64_1460`
5×	`flip3-+_binary64_1428` `flip-+_binary64_1399`
4×	`add-cube-cbrt_binary64_1457` `add-sqr-sqrt_binary64_1446` `add-log-exp_binary64_1461` `*-un-lft-identity_binary64_1425` `frac-times_binary64_1435`
3×	`flip--_binary64_1400` `times-frac_binary64_1431` `associate-/r*_binary64_1371` `flip3--_binary64_1429`
2×	`associate-r/_binary64_1369` `associate-/r/_binary64_1373` `div-exp_binary64_1473` `pow1_binary64_1483` `associate-l/_binary64_1370` `cbrt-undiv_binary64_1456`
1×	`frac-2neg_binary64_1436` `prod-exp_binary64_1471` `cbrt-unprod_binary64_1455` `clear-num_binary64_1424` `div-inv_binary64_1422` `sum-log_binary64_1513` `associate-/l*_binary64_1372` `+-commutative_binary64_1357`

Counts

2 → 42

Calls

2 calls:

15.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
5.0ms	(+.f64 (.f64 x x) (.f64 y y))

series135.0ms (4.1%)

Counts

2 → 6

Calls

2 calls:

95.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
39.0ms	(+.f64 (.f64 x x) (.f64 y y))

simplify34.0ms (1%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5025	969

prune46.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	5	49

Merged error: 0.3b

Counts

49 → 5

Compiler

Compiled 1101 to 213 computations (80.7% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

6.1b	(/.f64 (-.f64 x y) (.f64 (cbrt.f64 (+.f64 (.f64 x x) (.f64 y y))) (cbrt.f64 (+.f64 (.f64 x x) (*.f64 y y)))))
17.7b	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
17.7b	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
17.7b	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

rewrite39.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64_1454`
13×	`add-sqr-sqrt_binary64_1446` `*-un-lft-identity_binary64_1425`
9×	`add-cube-cbrt_binary64_1457` `flip3-+_binary64_1428` `cbrt-prod_binary64_1453` `flip-+_binary64_1399` `add-exp-log_binary64_1460`
8×	`associate-/r/_binary64_1373`
7×	`add-cbrt-cube_binary64_1458`
5×	`times-frac_binary64_1431` `associate-/l*_binary64_1372`
4×	`pow1_binary64_1483` `add-log-exp_binary64_1461` `frac-times_binary64_1435`
3×	`pow1/3_binary64_1504`
2×	`distribute-lft-out--_binary64_1379` `associate-r/_binary64_1369` `difference-of-squares_binary64_1394` `div-exp_binary64_1473` `associate-/l/_binary64_1374` `associate-l/_binary64_1370` `cbrt-undiv_binary64_1456`
1×	`flip--_binary64_1400` `frac-2neg_binary64_1436` `associate-/r*_binary64_1371` `prod-exp_binary64_1471` `cbrt-unprod_binary64_1455` `clear-num_binary64_1424` `div-sub_binary64_1430` `div-inv_binary64_1422` `flip3--_binary64_1429`

Counts

4 → 75

Calls

4 calls:

16.0ms	(/.f64 (-.f64 x y) (.f64 (cbrt.f64 (+.f64 (.f64 x x) (.f64 y y))) (cbrt.f64 (+.f64 (.f64 x x) (*.f64 y y)))))
4.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

series693.0ms (21.3%)

Counts

4 → 12

Calls

4 calls:

242.0ms	(/.f64 (-.f64 x y) (.f64 (cbrt.f64 (+.f64 (.f64 x x) (.f64 y y))) (cbrt.f64 (+.f64 (.f64 x x) (*.f64 y y)))))
155.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
148.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
147.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

simplify66.0ms (2%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5125	1936

prune108.0ms (3.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	87	5	92

Merged error: 0.3b

Counts

92 → 5

Compiler

Compiled 3500 to 708 computations (79.8% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

6.1b	(/.f64 (-.f64 x y) (.f64 (cbrt.f64 (+.f64 (.f64 x x) (.f64 y y))) (cbrt.f64 (+.f64 (.f64 x x) (*.f64 y y)))))
17.7b	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
17.7b	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
17.7b	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

rewrite39.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64_1454`
13×	`add-sqr-sqrt_binary64_1446` `*-un-lft-identity_binary64_1425`
9×	`add-cube-cbrt_binary64_1457` `flip3-+_binary64_1428` `cbrt-prod_binary64_1453` `flip-+_binary64_1399` `add-exp-log_binary64_1460`
8×	`associate-/r/_binary64_1373`
7×	`add-cbrt-cube_binary64_1458`
5×	`times-frac_binary64_1431` `associate-/l*_binary64_1372`
4×	`pow1_binary64_1483` `add-log-exp_binary64_1461` `frac-times_binary64_1435`
3×	`pow1/3_binary64_1504`
2×	`distribute-lft-out--_binary64_1379` `associate-r/_binary64_1369` `difference-of-squares_binary64_1394` `div-exp_binary64_1473` `associate-/l/_binary64_1374` `associate-l/_binary64_1370` `cbrt-undiv_binary64_1456`
1×	`flip--_binary64_1400` `frac-2neg_binary64_1436` `associate-/r*_binary64_1371` `prod-exp_binary64_1471` `cbrt-unprod_binary64_1455` `clear-num_binary64_1424` `div-sub_binary64_1430` `div-inv_binary64_1422` `flip3--_binary64_1429`

Counts

4 → 75

Calls

4 calls:

16.0ms	(/.f64 (-.f64 x y) (.f64 (cbrt.f64 (+.f64 (.f64 x x) (.f64 y y))) (cbrt.f64 (+.f64 (.f64 x x) (*.f64 y y)))))
4.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

series634.0ms (19.4%)

Counts

4 → 12

Calls

4 calls:

238.0ms	(/.f64 (-.f64 x y) (.f64 (cbrt.f64 (+.f64 (.f64 x x) (.f64 y y))) (cbrt.f64 (+.f64 (.f64 x x) (*.f64 y y)))))
138.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
132.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
125.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

simplify64.0ms (2%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5125	1936

prune98.0ms (3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	87	5	92

Merged error: 0.3b

Counts

92 → 5

Compiler

Compiled 3466 to 642 computations (81.5% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	3	3
Total	5	5

Merged error: 0.3b

Counts

5 → 5

Compiler

Compiled 0 to 0 computations (0% saved)

regimes62.0ms (1.9%)

Compiler: Compiled 289 to 143 computations (50.5% saved)

bsearch52.0ms (1.6%)

Steps

Iters	Range	Point
8	3.056316576465352e-208	2.9611027266025995e-205	2.9224976007149094e-205
10	-5.376877518262321e-156	-1.0014283709450921e-166	-1.5894088116446065e-162
8	-3.8312672410171456e+155	-3.379832552707732e+151	-1.361076388567781e+154

Iters

Range

Point

3.056316576465352e-208

2.9611027266025995e-205

2.9224976007149094e-205

-5.376877518262321e-156

-1.0014283709450921e-166

-1.5894088116446065e-162

-3.8312672410171456e+155

-3.379832552707732e+151

-1.361076388567781e+154

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	44
1	37	44

end0.0ms (0%)

sample834.0ms (25.6%)

Algorithm

1×

intervals

Results

325.0ms	8000×	body	128	valid
179.0ms	8000×	pre	128	true

Compiler

Compiled 174 to 99 computations (43.1% saved)

Details

analyze14.0ms (0.4%)

sample24.0ms (0.7%)

simplify241.0ms (7.4%)

prune2.0ms (0.1%)

localize9.0ms (0.3%)

rewrite24.0ms (0.7%)

series135.0ms (4.1%)

simplify34.0ms (1%)

prune46.0ms (1.4%)

localize14.0ms (0.4%)

rewrite39.0ms (1.2%)

series693.0ms (21.3%)

simplify66.0ms (2%)

prune108.0ms (3.3%)

localize14.0ms (0.4%)

rewrite39.0ms (1.2%)

series634.0ms (19.4%)

simplify64.0ms (2%)

prune98.0ms (3%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify8.0ms (0.2%)

prune1.0ms (0%)

regimes62.0ms (1.9%)

bsearch52.0ms (1.6%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample834.0ms (25.6%)

Profiling