Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

257×

body

valid

simplify2.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 29.6b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

28.4b

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

rewrite4.0ms

Algorithm

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:

4.0ms

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

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify106.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4763	80
1	4763	80

prune34.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

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: 0.1b

Counts

16 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

0.4b	(* x (neg (sqrt 2.0)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-r`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `sqrt-prod`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
1×	`neg-mul-1` `pow-prod-down` `prod-exp` `*-commutative` `distribute-rgt-neg-out` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 32

Calls

1 calls:

6.0ms

(* x (neg (sqrt 2.0)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(* x (neg (sqrt 2.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4871	196
1	4871	196

prune56.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	32	8	40

Merged error: 0.0b

Counts

40 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x (* (cbrt (sqrt 2.0)) (neg (cbrt (sqrt 2.0)))))
0.3b	(* (* x (* (cbrt (sqrt 2.0)) (neg (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

8.0ms	(* x (* (cbrt (sqrt 2.0)) (neg (cbrt (sqrt 2.0)))))
11.0ms	(* (* x (* (cbrt (sqrt 2.0)) (neg (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

series43.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* x (* (cbrt (sqrt 2.0)) (neg (cbrt (sqrt 2.0)))))
5.0ms	(* (* x (* (cbrt (sqrt 2.0)) (neg (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4945	335
1	4945	335

prune75.0ms

Filtered

30 candidates to 53 candidates (-76.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	53	8	61

Merged error: 0.0b

Counts

61 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x (neg (sqrt (sqrt 2.0))))
0.3b	(* (* x (neg (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

31×	`associate-r`
27×	`sqrt-prod`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `distribute-lft-neg-in` `distribute-rgt-neg-in` `add-cbrt-cube`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative` `distribute-rgt-neg-out` `add-log-exp`
1×	`distribute-lft-neg-out` `neg-mul-1` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

8.0ms	(* x (neg (sqrt (sqrt 2.0))))
9.0ms	(* (* x (neg (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))

series14.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(* x (neg (sqrt (sqrt 2.0))))
5.0ms	(* (* x (neg (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))

simplify39.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5132	455

prune83.0ms

Filtered

36 candidates to 69 candidates (-91.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	69	8	77

Merged error: 0.0b

Counts

77 → 8

regimes164.0ms

Accuracy

99% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 30.6b

bsearch17.0ms

Steps

Iters	Range		Point
11	-2.738751220668259e-280	3.6726111983196854e-305	1.81753886422396e-310

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	25
1	33	25

end0.0ms

sample324.0ms

Algorithm

intervals

Results

197.0ms

8001×

body

valid

Details

sample13.0ms

simplify2.0ms

prune5.0ms

localize4.0ms

rewrite4.0ms

series4.0ms

simplify106.0ms

prune34.0ms

localize4.0ms

rewrite7.0ms

series5.0ms

simplify53.0ms

prune56.0ms

localize8.0ms

rewrite20.0ms

series43.0ms

simplify55.0ms

prune75.0ms

localize7.0ms

rewrite19.0ms

series14.0ms

simplify39.0ms

prune83.0ms

regimes164.0ms

bsearch17.0ms

simplify1.0ms

end0.0ms

sample324.0ms

Profiling