Details

analyze33.0ms (3.6%)

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
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

sample11.0ms (1.2%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

valid

simplify5.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	5
1	5	5

prune5.0ms (0.5%)

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

Merged error: 0.0b

Counts

2 → 1

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-/r*_binary64` `distribute-lft-out_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

1 → 33

Calls

1 calls:

6.0ms

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

series7.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

7.0ms

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

simplify60.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5057	287

prune38.0ms (4.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	3	37

Merged error: 0b

Counts

37 → 3

localize6.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
0.1b	(pow.f64 (/.f64 x (+.f64 x y)) 3)
12.4b	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

rewrite29.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
60×	`times-frac_binary64`
46×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
42×	`cbrt-prod_binary64`
36×	`unpow-prod-down_binary64` `cube-prod_binary64`
16×	`distribute-lft-out_binary64`
10×	`associate-/r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
4×	`associate-/r*_binary64` `pow1_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64` `associate-/l*_binary64`
2×	`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` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 141

Calls

3 calls:

8.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
8.0ms	(/.f64 x (+.f64 x y))
7.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)

series28.0ms (3%)

Counts

3 → 9

Calls

3 calls:

15.0ms	(pow.f64 (/.f64 x (+.f64 x y)) 3)
7.0ms	(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
7.0ms	(/.f64 x (+.f64 x y))

simplify32.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5157	1439

prune142.0ms (15.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	150	3	153

Merged error: 0b

Counts

153 → 3

localize8.0ms (0.8%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
3.0b	(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))

rewrite15.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
24×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
19×	`log-pow_binary64`
18×	`exp-prod_binary64`
7×	`distribute-lft-out_binary64`
4×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
3×	`pow1_binary64` `log-prod_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `div-inv_binary64` `flip-+_binary64`
1×	`cbrt-undiv_binary64` `rem-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`

Counts

2 → 63

Calls

2 calls:

7.0ms	(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
5.0ms	(/.f64 x (+.f64 x y))

series14.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
7.0ms	(/.f64 x (+.f64 x y))

simplify45.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5077	502

prune62.0ms (6.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	69	3	72

Merged error: 0b

Counts

72 → 3

regimes105.0ms (11.3%)

Accuracy

Total 0.0b remaining (28.2%)

Threshold costs 0.0b (28.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	5
1	5	5

end0.0ms (0%)

sample275.0ms (29.6%)

Algorithm

1×

intervals

Results

153.0ms

8000×

body

valid

Details

analyze33.0ms (3.6%)

sample11.0ms (1.2%)

simplify5.0ms (0.5%)

prune5.0ms (0.5%)

localize3.0ms (0.3%)

rewrite7.0ms (0.7%)

series7.0ms (0.7%)

simplify60.0ms (6.4%)

prune38.0ms (4.1%)

localize6.0ms (0.6%)

rewrite29.0ms (3.1%)

series28.0ms (3%)

simplify32.0ms (3.4%)

prune142.0ms (15.2%)

localize8.0ms (0.8%)

rewrite15.0ms (1.6%)

series14.0ms (1.5%)

simplify45.0ms (4.8%)

prune62.0ms (6.7%)

regimes105.0ms (11.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample275.0ms (29.6%)

Profiling