Details

analyze5.0ms (0.3%)

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
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0.1%	14

sample11.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

valid

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

prune5.0ms (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: 29.9b

Counts

2 → 1

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(* 2.0 (* x x))
28.9b	(sqrt (* 2.0 (* x x)))

rewrite12.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`pow1`
7×	`add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down`
4×	`add-sqr-sqrt`
3×	`add-cube-cbrt` `-un-lft-identity` `sqrt-pow1` `associate-l*` `prod-exp` `cbrt-unprod`
2×	`add-log-exp`
1×	`pow1/2` `associate-r` `sqrt-prod` `*-commutative` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

6.0ms	(sqrt (* 2.0 (* x x)))
5.0ms	(* 2.0 (* x x))

series14.0ms (1%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(sqrt (* 2.0 (* x x)))
3.0ms	(* 2.0 (* x x))

simplify43.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4914	207
1	4914	207

prune73.0ms (5.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Merged error: 0.3b

Counts

38 → 5

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.5b	(* (sqrt 2.0) (fabs x))

rewrite5.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`associate-l`
4×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
3×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
2×	`unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

4.0ms

(* (sqrt 2.0) (fabs x))

series8.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(* (sqrt 2.0) (fabs x))

simplify45.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4989	163
1	4989	163

prune58.0ms (4.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	21	4	25
Fresh	3	0	3
Picked	1	0	1
Done	0	1	1
Total	25	5	30

Merged error: 0.0b

Counts

30 → 5

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.2b	(* (fabs x) (sqrt (sqrt 2.0)))
0.2b	(* (sqrt (sqrt 2.0)) (* (fabs x) (sqrt (sqrt 2.0))))

rewrite16.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`sqrt-prod`
15×	`add-sqr-sqrt`
12×	`associate-l`
10×	`associate-r`
9×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`unswap-sqr`
2×	`*-commutative` `add-log-exp`

Counts

2 → 50

Calls

2 calls:

9.0ms	(* (sqrt (sqrt 2.0)) (* (fabs x) (sqrt (sqrt 2.0))))
6.0ms	(* (fabs x) (sqrt (sqrt 2.0)))

series10.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

5.0ms	(* (fabs x) (sqrt (sqrt 2.0)))
4.0ms	(* (sqrt (sqrt 2.0)) (* (fabs x) (sqrt (sqrt 2.0))))

simplify40.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4892	406
1	4892	406

prune136.0ms (10.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	54	7	61

Merged error: 0.0b

Counts

61 → 7

localize16.0ms (1.3%)

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (sqrt 2.0)) (* (fabs x) (sqrt (sqrt (cbrt 2.0)))))
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)

rewrite14.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `cbrt-prod` `associate-l` `sqrt-prod` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 57

Calls

4 calls:

9.0ms	(* (sqrt (sqrt 2.0)) (* (fabs x) (sqrt (sqrt (cbrt 2.0)))))
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)

series33.0ms (2.5%)

Counts

4 → 6

Calls

4 calls:

33.0ms	(* (sqrt (sqrt 2.0)) (* (fabs x) (sqrt (sqrt (cbrt 2.0)))))
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)

simplify53.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5136	482

prune219.0ms (16.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	63	7	70

Merged error: 0b

Counts

70 → 7

regimes208.0ms (15.9%)

Accuracy

Total 0.4b remaining (96.8%)

Threshold costs 0.4b (96.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	19
1	17	19

end0.0ms (0%)

sample271.0ms (20.6%)

Algorithm

1×

intervals

Results

185.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze5.0ms (0.3%)

sample11.0ms (0.9%)

simplify3.0ms (0.2%)

prune5.0ms (0.3%)

localize5.0ms (0.4%)

rewrite12.0ms (0.9%)

series14.0ms (1%)

simplify43.0ms (3.2%)

prune73.0ms (5.5%)

localize4.0ms (0.3%)

rewrite5.0ms (0.4%)

series8.0ms (0.6%)

simplify45.0ms (3.4%)

prune58.0ms (4.4%)

localize6.0ms (0.5%)

rewrite16.0ms (1.2%)

series10.0ms (0.7%)

simplify40.0ms (3.1%)

prune136.0ms (10.3%)

localize16.0ms (1.3%)

rewrite14.0ms (1.1%)

series33.0ms (2.5%)

simplify53.0ms (4.1%)

prune219.0ms (16.7%)

regimes208.0ms (15.9%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample271.0ms (20.6%)

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