Details

analyze3.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	25%	13
75%	0%	25%	14

sample10.0ms (1.2%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

valid

simplify17.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	308	7
1	308	7

prune4.0ms (0.4%)

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: 0.1b

Counts

2 → 1

localize9.0ms (1%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (-.f64 (*.f64 x x) 3.0) 6.0)

rewrite7.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`times-frac_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`difference-of-squares_binary64` `associate-/l*_binary64`
3×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`

Counts

1 → 34

Calls

1 calls:

6.0ms

(/.f64 (-.f64 (*.f64 x x) 3.0) 6.0)

series8.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(/.f64 (-.f64 (*.f64 x x) 3.0) 6.0)

simplify56.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4958	405
1	4958	405

prune63.0ms (7.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	3	38

Merged error: 0b

Counts

38 → 3

localize6.0ms (0.6%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 (*.f64 x x) 6.0)

rewrite6.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`-un-lft-identity_binary64` `associate-/r_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

1 → 21

Calls

1 calls:

5.0ms

(/.f64 (*.f64 x x) 6.0)

series4.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(/.f64 (*.f64 x x) 6.0)

simplify54.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4888	149
1	4888	149

prune31.0ms (3.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	24	3	27

Merged error: 0b

Counts

27 → 3

localize5.0ms (0.6%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 x (/.f64 6.0 x))

rewrite9.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64`
43×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
13×	`associate-/r*_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`div-inv_binary64`
3×	`cbrt-undiv_binary64` `associate-/l*_binary64` `div-exp_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

1 → 70

Calls

1 calls:

6.0ms

(/.f64 x (/.f64 6.0 x))

series4.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(/.f64 x (/.f64 6.0 x))

simplify66.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5121	686

prune83.0ms (9.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	73	3	76

Merged error: 0b

Counts

76 → 3

localize4.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x x) 0.16666666666666666)

rewrite6.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `associate-l_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 (*.f64 x x) 0.16666666666666666)

series4.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(*.f64 (*.f64 x x) 0.16666666666666666)

simplify49.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5269	130

prune23.0ms (2.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	22	3	25

Merged error: 0b

Counts

25 → 3

regimes77.0ms (8.8%)

Accuracy

Total 0.1b remaining (74.3%)

Threshold costs 0.1b (74.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	9
1	24	9

end0.0ms (0%)

sample265.0ms (30.2%)

Algorithm

1×

intervals

Results

176.0ms

8000×

body

valid

Details

analyze3.0ms (0.4%)

sample10.0ms (1.2%)

simplify17.0ms (2%)

prune4.0ms (0.4%)

localize9.0ms (1%)

rewrite7.0ms (0.9%)

series8.0ms (0.9%)

simplify56.0ms (6.4%)

prune63.0ms (7.1%)

localize6.0ms (0.6%)

rewrite6.0ms (0.7%)

series4.0ms (0.5%)

simplify54.0ms (6.1%)

prune31.0ms (3.6%)

localize5.0ms (0.6%)

rewrite9.0ms (1%)

series4.0ms (0.5%)

simplify66.0ms (7.6%)

prune83.0ms (9.4%)

localize4.0ms (0.5%)

rewrite6.0ms (0.7%)

series4.0ms (0.5%)

simplify49.0ms (5.6%)

prune23.0ms (2.6%)

regimes77.0ms (8.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample265.0ms (30.2%)

Profiling