Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample15.0ms (1.1%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

valid

simplify47.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	781	7
1	781	7

prune4.0ms (0.3%)

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 (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x 1.0) (-.f64 1.0 x))

rewrite10.0ms (0.8%)

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 1.0) (-.f64 1.0 x))

series4.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(/.f64 (+.f64 x 1.0) (-.f64 1.0 x))

simplify47.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5434	556

prune66.0ms (4.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	3	49

Merged error: 0b

Counts

49 → 3

localize11.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1.0))
0.3b	(cbrt.f64 (-.f64 1.0 x))
0.3b	(cbrt.f64 (-.f64 1.0 x))
0.3b	(cbrt.f64 (-.f64 1.0 x))

rewrite17.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64`
14×	`add-sqr-sqrt_binary64`
8×	`cbrt-div_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `flip-+_binary64`

Counts

4 → 59

Calls

4 calls:

6.0ms	(cbrt.f64 (-.f64 1.0 x))
3.0ms	(cbrt.f64 (-.f64 1.0 x))
3.0ms	(cbrt.f64 (-.f64 1.0 x))
3.0ms	(cbrt.f64 (+.f64 x 1.0))

series31.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

8.0ms	(cbrt.f64 (-.f64 1.0 x))
8.0ms	(cbrt.f64 (-.f64 1.0 x))
8.0ms	(cbrt.f64 (-.f64 1.0 x))
7.0ms	(cbrt.f64 (+.f64 x 1.0))

simplify48.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5166	701

prune135.0ms (10.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	71	3	74

Merged error: 0b

Counts

74 → 3

localize6.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1.0))
0.0b	(sqrt.f64 (+.f64 x 1.0))
0.1b	(*.f64 (sqrt.f64 (+.f64 x 1.0)) (/.f64 (sqrt.f64 (+.f64 x 1.0)) (-.f64 1.0 x)))
0.1b	(/.f64 (sqrt.f64 (+.f64 x 1.0)) (-.f64 1.0 x))

rewrite47.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Rules

104×	`*-un-lft-identity_binary64`
94×	`add-sqr-sqrt_binary64`
74×	`times-frac_binary64`
61×	`sqrt-prod_binary64`
46×	`add-cube-cbrt_binary64`
41×	`associate-r_binary64`
15×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
14×	`distribute-lft-out_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`sqrt-div_binary64`
8×	`pow1_binary64`
7×	`associate-l_binary64` `associate-/l*_binary64`
6×	`unswap-sqr_binary64`
5×	`flip3-+_binary64` `associate-/r*_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64`
2×	`associate-/l/_binary64` `pow1/2_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

4 → 167

Calls

4 calls:

23.0ms	(*.f64 (sqrt.f64 (+.f64 x 1.0)) (/.f64 (sqrt.f64 (+.f64 x 1.0)) (-.f64 1.0 x)))
9.0ms	(/.f64 (sqrt.f64 (+.f64 x 1.0)) (-.f64 1.0 x))
3.0ms	(sqrt.f64 (+.f64 x 1.0))
3.0ms	(sqrt.f64 (+.f64 x 1.0))

series26.0ms (2%)

Counts

4 → 12

Calls

4 calls:

10.0ms	(/.f64 (sqrt.f64 (+.f64 x 1.0)) (-.f64 1.0 x))
6.0ms	(*.f64 (sqrt.f64 (+.f64 x 1.0)) (/.f64 (sqrt.f64 (+.f64 x 1.0)) (-.f64 1.0 x)))
5.0ms	(sqrt.f64 (+.f64 x 1.0))
5.0ms	(sqrt.f64 (+.f64 x 1.0))

simplify56.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4977	2250
1	4977	2250

prune445.0ms (33.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	179	3	182

Merged error: 0b

Counts

182 → 3

regimes56.0ms (4.2%)

Accuracy

Total 0.0b remaining (35.7%)

Threshold costs 0.0b (35.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms (0%)

sample254.0ms (19%)

Algorithm

1×

intervals

Results

163.0ms

8000×

body

valid

Details

analyze3.0ms (0.2%)

sample15.0ms (1.1%)

simplify47.0ms (3.5%)

prune4.0ms (0.3%)

localize4.0ms (0.3%)

rewrite10.0ms (0.8%)

series4.0ms (0.3%)

simplify47.0ms (3.5%)

prune66.0ms (4.9%)

localize11.0ms (0.9%)

rewrite17.0ms (1.3%)

series31.0ms (2.3%)

simplify48.0ms (3.6%)

prune135.0ms (10.1%)

localize6.0ms (0.5%)

rewrite47.0ms (3.5%)

series26.0ms (2%)

simplify56.0ms (4.2%)

prune445.0ms (33.4%)

regimes56.0ms (4.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample254.0ms (19%)

Profiling