Details

analyze28.0ms (1.3%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

sample13.0ms (0.6%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

valid

simplify48.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	781	7
1	781	7

prune5.0ms (0.2%)

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: 0.0b

Counts

2 → 1

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`associate-/r*_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 45

Calls

1 calls:

8.0ms

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

series11.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

11.0ms

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

simplify51.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4959	532
1	4959	532

prune68.0ms (3.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	42	6	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	6	49

Merged error: 0.0b

Counts

49 → 6

localize10.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
0.0b	(/.f64 (+.f64 x y) (-.f64 x y))
0.0b	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)

rewrite44.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`*-un-lft-identity_binary64`
100×	`times-frac_binary64`
98×	`add-sqr-sqrt_binary64`
58×	`cbrt-prod_binary64`
56×	`add-cube-cbrt_binary64`
52×	`unpow-prod-down_binary64` `cube-prod_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`associate-/r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r*_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`pow1_binary64` `associate-/l*_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `flip3-+_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`

Counts

3 → 185

Calls

3 calls:

12.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
12.0ms	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)
9.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

series48.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

20.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
17.0ms	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)
11.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

simplify46.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5492	2496

prune202.0ms (9.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	194	6	200

Merged error: 0.0b

Counts

200 → 6

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

rewrite33.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

178×	`times-frac_binary64`
174×	`*-un-lft-identity_binary64`
122×	`add-sqr-sqrt_binary64`
80×	`add-cube-cbrt_binary64`
30×	`associate-/r*_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
15×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64`
8×	`associate-/l*_binary64` `div-exp_binary64`
6×	`div-inv_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`flip3--_binary64` `div-sub_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

2 → 174

Calls

2 calls:

12.0ms	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
8.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

series22.0ms (1%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
11.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

simplify63.0ms (3%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	6131	2391

prune179.0ms (8.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	178	2	180
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	182	4	186

Merged error: 0b

Counts

186 → 4

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)))
0.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
0.0b	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)
0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

rewrite90.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Rules

445×	`*-un-lft-identity_binary64`
443×	`times-frac_binary64`
313×	`add-sqr-sqrt_binary64`
290×	`cbrt-prod_binary64`
207×	`add-cube-cbrt_binary64`
156×	`unpow-prod-down_binary64` `cube-prod_binary64`
66×	`distribute-lft-out_binary64`
65×	`associate-/r*_binary64`
53×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
27×	`associate-/r/_binary64`
14×	`div-inv_binary64`
13×	`flip3-+_binary64` `add-exp-log_binary64` `flip-+_binary64`
10×	`add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`pow1_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
4×	`add-log-exp_binary64` `div-exp_binary64`
3×	`pow-unpow_binary64` `cbrt-undiv_binary64` `cube-div_binary64`
2×	`cbrt-div_binary64` `associate-/l/_binary64` `pow1/3_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `pow-flip_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `flip3--_binary64` `1-exp_binary64` `pow-pow_binary64` `div-sub_binary64` `inv-pow_binary64` `rec-exp_binary64` `flip--_binary64`

Counts

4 → 451

Calls

4 calls:

22.0ms	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)))
15.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
11.0ms	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)
8.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

series67.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)))
17.0ms	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)
17.0ms	(/.f64 (-.f64 x y) (+.f64 x y))
15.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))

simplify92.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

463 → 463

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5134	6894

prune519.0ms (24.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	463	0	463
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	463	4	467

Merged error: 0b

Counts

467 → 4

regimes117.0ms (5.6%)

Accuracy

Total 0.0b remaining (65.4%)

Threshold costs 0.0b (65.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample305.0ms (14.6%)

Algorithm

1×

intervals

Results

180.0ms

8000×

body

valid

Details

analyze28.0ms (1.3%)

sample13.0ms (0.6%)

simplify48.0ms (2.3%)

prune5.0ms (0.2%)

localize4.0ms (0.2%)

rewrite10.0ms (0.5%)

series11.0ms (0.5%)

simplify51.0ms (2.4%)

prune68.0ms (3.2%)

localize10.0ms (0.5%)

rewrite44.0ms (2.1%)

series48.0ms (2.3%)

simplify46.0ms (2.2%)

prune202.0ms (9.7%)

localize6.0ms (0.3%)

rewrite33.0ms (1.6%)

series22.0ms (1%)

simplify63.0ms (3%)

prune179.0ms (8.6%)

localize8.0ms (0.4%)

rewrite90.0ms (4.3%)

series67.0ms (3.2%)

simplify92.0ms (4.4%)

prune519.0ms (24.8%)

regimes117.0ms (5.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample305.0ms (14.6%)

Profiling