Details

analyze11.0ms (0.6%)

Algorithm

1×

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
25%	74.9%	0.1%	6
93.7%	6.2%	0.1%	7
96.8%	3.1%	0.1%	8
99.5%	0.4%	0.1%	9
99.7%	0.2%	0.1%	10
99.8%	0.1%	0.1%	11
99.9%	0%	0.1%	12
99.9%	0%	0.1%	13
99.9%	0%	0.1%	14

Compiler

Compiled 20 to 13 computations (35% saved)

sample22.0ms (1.2%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 39 to 27 computations (30.8% saved)

simplify203.0ms (11.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4787	28
1	4787	28

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

32.6b

Counts

2 → 1

Compiler

Compiled 38 to 24 computations (36.8% saved)

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

3.0b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))
32.0b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))

rewrite20.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cube-cbrt_binary64_16481` `*-un-lft-identity_binary64_16446` `add-sqr-sqrt_binary64_16468`
9×	`times-frac_binary64_16452`
4×	`add-exp-log_binary64_16484` `add-log-exp_binary64_16485` `add-cbrt-cube_binary64_16482`
3×	`associate-/l_binary64_16391` `associate-/r_binary64_16390`
2×	`associate-/l/_binary64_16393` `pow1_binary64_16507` `associate-/r/_binary64_16392` `flip3--_binary64_16450` `flip--_binary64_16421`
1×	`div-sub_binary64_16451` `clear-num_binary64_16445` `cbrt-undiv_binary64_16480` `div-inv_binary64_16443` `diff-log_binary64_16538` `flip3-+_binary64_16449` `flip-+_binary64_16420` `sub-neg_binary64_16439` `cancel-sign-sub-inv_binary64_16412` `frac-2neg_binary64_16457` `div-exp_binary64_16497`

Counts

2 → 44

Calls

2 calls:

11.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))
4.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))

series76.0ms (4.4%)

Counts

2 → 6

Calls

2 calls:

48.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4) y)))
28.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) y))

simplify79.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5904	1542

prune62.0ms (3.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	4	51

Error

0.4b

Counts

51 → 4

Compiler

Compiled 1464 to 779 computations (46.8% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Error

0.4b

Counts

4 → 4

Compiler

Compiled 30 to 20 computations (33.3% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms (0.1%)

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

Error

0.4b

Counts

4 → 4

Compiler

Compiled 29 to 17 computations (41.4% saved)

localize11.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b

(-.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4)))) (/.f64 (*.f64 y (*.f64 y 4)) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4)))))

22.1b

(/.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4))))

24.4b

(/.f64 (*.f64 y (*.f64 y 4)) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4))))

rewrite44.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
13×	`add-sqr-sqrt_binary64_16468`
11×	`*-un-lft-identity_binary64_16446`
10×	`times-frac_binary64_16452` `associate-/r/_binary64_16392`
9×	`add-cube-cbrt_binary64_16481` `cancel-sign-sub-inv_binary64_16412`
6×	`associate-/r*_binary64_16390`
5×	`cbrt-undiv_binary64_16480` `div-inv_binary64_16443` `add-log-exp_binary64_16485` `flip3-+_binary64_16449` `flip-+_binary64_16420` `div-exp_binary64_16497`
4×	`cbrt-unprod_binary64_16479` `prod-exp_binary64_16495`
3×	`pow1_binary64_16507` `distribute-rgt-out--_binary64_16400`
2×	`clear-num_binary64_16445` `associate-/l*_binary64_16391` `frac-2neg_binary64_16457` `difference-of-squares_binary64_16415`
1×	`frac-sub_binary64_16455` `distribute-lft-out--_binary64_16398` `diff-log_binary64_16538` `sub-neg_binary64_16439` `flip3--_binary64_16450` `flip--_binary64_16421` `sub-div_binary64_16453`

Counts

3 → 76

Calls

3 calls:

18.0ms

(-.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4)))) (/.f64 (*.f64 y (*.f64 y 4)) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4)))))

9.0ms

(/.f64 (*.f64 y (*.f64 y 4)) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4))))

7.0ms

(/.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4))))

series125.0ms (7.2%)

Counts

3 → 9

Calls

3 calls:

60.0ms

(-.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4)))) (/.f64 (*.f64 y (*.f64 y 4)) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4)))))

34.0ms

(/.f64 (*.f64 y (*.f64 y 4)) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4))))

31.0ms

(/.f64 (*.f64 x x) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4))))

simplify69.0ms (4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5263	2533

prune105.0ms (6.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	85	4	89

Error

0.4b

Counts

89 → 4

Compiler

Compiled 3043 to 1591 computations (47.7% saved)

regimes155.0ms (8.9%)

Accuracy

Total 12.4b remaining (97.7%)

Threshold costs 0b (0%)

Compiler

Compiled 413 to 293 computations (29.1% saved)

bsearch71.0ms (4.1%)

Steps

Iters	Range		Point
9	1.825852146486739e+84	4.747510350722247e+89	9.223076075088807e+86
9	8.587333575630235e-71	1.7079986693099205e-62	2.591777658363775e-68
9	-2.657707535282969e-77	-7.723217625846383e-84	-8.158814620431773e-84
8	-9.326108133697775e+88	-1.0073928728281614e+86	-8.714118100725216e+88

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	75	98
1	75	98

end0.0ms (0%)

sample648.0ms (37.3%)

Algorithm

1×

intervals

Results

340.0ms

8000×

body

128

valid

Compiler

Compiled 239 to 146 computations (38.9% saved)

Details

analyze11.0ms (0.6%)

sample22.0ms (1.2%)

simplify203.0ms (11.7%)

prune3.0ms (0.2%)

localize8.0ms (0.5%)

rewrite20.0ms (1.1%)

series76.0ms (4.4%)

simplify79.0ms (4.6%)

prune62.0ms (3.6%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.4%)

prune2.0ms (0.1%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.4%)

prune2.0ms (0.1%)

localize11.0ms (0.6%)

rewrite44.0ms (2.6%)

series125.0ms (7.2%)

simplify69.0ms (4%)

prune105.0ms (6.1%)

regimes155.0ms (8.9%)

bsearch71.0ms (4.1%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample648.0ms (37.3%)

Profiling