Details

analyze4.0ms (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 (1%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

valid

simplify2.0ms (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 (0.4%)

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: 29.9b

Counts

2 → 1

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

28.9b

(sqrt (* (* 2.0 x) x))

rewrite4.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1`
3×	`sqrt-pow1` `pow-prod-down`
1×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/2` `sqrt-prod` `add-cbrt-cube` `add-log-exp`

Counts

1 → 12

Calls

1 calls:

3.0ms

(sqrt (* (* 2.0 x) x))

series4.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(sqrt (* (* 2.0 x) x))

simplify108.0ms (9%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4675	80
1	4675	80

prune39.0ms (3.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	11	4	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	5	16

Merged error: 0.2b

Counts

16 → 5

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.5b	(* x (sqrt 2.0))

rewrite5.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

5.0ms

(* x (sqrt 2.0))

series4.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(* x (sqrt 2.0))

simplify42.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4990	133
1	4990	133

prune61.0ms (5.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	23	7	30

Merged error: 0.1b

Counts

30 → 7

localize7.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.1b	(* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
0.3b	(* (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

rewrite20.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

11.0ms	(* (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
7.0ms	(* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series41.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

36.0ms	(* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
4.0ms	(* (* x (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify52.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5049	289

prune122.0ms (10.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	51	8	59

Merged error: 0.1b

Counts

59 → 8

localize5.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

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

series11.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(* x (sqrt (sqrt 2.0)))
4.0ms	(* (* x (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

simplify52.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5078	343

prune121.0ms (10.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	57	7	64

Merged error: 0.1b

Counts

64 → 7

regimes153.0ms (12.7%)

Accuracy

Total 0.2b remaining (62.6%)

Threshold costs 0.2b (62.6%)

bsearch15.0ms (1.3%)

Steps

Iters	Range		Point
11	-3.0183957739187235e-302	1.300418255857306e-287	-2.8491681377424e-310

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	21
1	40	21

end0.0ms (0%)

sample284.0ms (23.7%)

Algorithm

1×

intervals

Results

191.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze4.0ms (0.3%)

sample11.0ms (1%)

simplify2.0ms (0.2%)

prune5.0ms (0.4%)

localize4.0ms (0.3%)

rewrite4.0ms (0.3%)

series4.0ms (0.3%)

simplify108.0ms (9%)

prune39.0ms (3.3%)

localize3.0ms (0.3%)

rewrite5.0ms (0.4%)

series4.0ms (0.4%)

simplify42.0ms (3.5%)

prune61.0ms (5.1%)

localize7.0ms (0.6%)

rewrite20.0ms (1.7%)

series41.0ms (3.4%)

simplify52.0ms (4.4%)

prune122.0ms (10.2%)

localize5.0ms (0.5%)

rewrite16.0ms (1.4%)

series11.0ms (0.9%)

simplify52.0ms (4.3%)

prune121.0ms (10.1%)

regimes153.0ms (12.7%)

bsearch15.0ms (1.3%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample284.0ms (23.7%)

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