Details

analyze36.0ms (4%)

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

4.0ms

256×

body

valid

simplify5.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	5	5
1	5	5

prune5.0ms (0.5%)

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 (0.5%)

Local error

Found 1 expressions with local error:

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

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 x y))

series7.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

7.0ms

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

simplify48.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4937	287
1	4937	287

prune36.0ms (4%)

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 (3.3%)

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)

series27.0ms (3.1%)

Counts

3 → 9

Calls

3 calls:

14.0ms	(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 (3.6%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5157	1439

prune135.0ms (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 (0.9%)

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))))

rewrite16.0ms (1.8%)

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:

8.0ms	(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
6.0ms	(/.f64 x (+.f64 x y))

series14.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

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

simplify46.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5077	502

prune58.0ms (6.6%)

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

regimes98.0ms (11%)

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%)

sample262.0ms (29.3%)

Algorithm

1×

intervals

Results

143.0ms

8000×

body

valid

Details

analyze36.0ms (4%)

sample11.0ms (1.2%)

simplify5.0ms (0.6%)

prune5.0ms (0.5%)

localize4.0ms (0.5%)

rewrite7.0ms (0.7%)

series7.0ms (0.8%)

simplify48.0ms (5.4%)

prune36.0ms (4%)

localize6.0ms (0.6%)

rewrite29.0ms (3.3%)

series27.0ms (3.1%)

simplify32.0ms (3.6%)

prune135.0ms (15.2%)

localize8.0ms (0.9%)

rewrite16.0ms (1.8%)

series14.0ms (1.6%)

simplify46.0ms (5.2%)

prune58.0ms (6.6%)

regimes98.0ms (11%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample262.0ms (29.3%)

Profiling