Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

prune2.0ms

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: 33.9b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2.0 (* x x))
32.6b	(sqrt (* 2.0 (* x x)))

rewrite13.0ms

Algorithm

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:

5.0ms	(* 2.0 (* x x))
7.0ms	(sqrt (* 2.0 (* x x)))

series14.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify42.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4914	207
1	4914	207

prune56.0ms

Filtered

23 candidates to 37 candidates (-60.9%)

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

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm

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))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(* (sqrt 2.0) (fabs x))

simplify42.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4989	163
1	4989	163

prune47.0ms

Filtered

15 candidates to 25 candidates (-66.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	20	5	25
Fresh	3	0	3
Picked	0	1	1
Done	1	0	1
Total	24	6	30

Merged error: 0.0b

Counts

30 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

5.0ms	(* (fabs x) (cbrt (sqrt 2.0)))
10.0ms	(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (fabs x) (cbrt (sqrt 2.0))))

series28.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* (fabs x) (cbrt (sqrt 2.0)))
4.0ms	(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (fabs x) (cbrt (sqrt 2.0))))

simplify57.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5016	368

prune94.0ms

Filtered

30 candidates to 54 candidates (-80.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	53	7	60

Merged error: 0b

Counts

60 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b

(* (* (fabs x) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0))))

0.3b

(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (* (fabs x) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0)))))

0.4b

(* (fabs x) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1` `add-exp-log`
33×	`pow-prod-down` `prod-exp` `cbrt-unprod`
24×	`add-cbrt-cube`
15×	`cbrt-prod`
14×	`associate-r`
9×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
5×	`associate-l`
3×	`sqrt-prod` `*-commutative` `add-log-exp`
1×	`unswap-sqr`

Counts

3 → 83

Calls

3 calls:

13.0ms

(* (* (fabs x) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0))))

19.0ms

(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (* (fabs x) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0)))))

9.0ms

(* (fabs x) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

series54.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms

(* (* (fabs x) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0))))

4.0ms

(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (* (fabs x) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0)))))

28.0ms

(* (fabs x) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

simplify65.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4878	653
1	4878	653

prune144.0ms

Filtered

45 candidates to 92 candidates (-104.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	92	7	99

Merged error: 0b

Counts

99 → 7

regimes50.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	25
1	14	25

end0.0ms

sample306.0ms

Algorithm

intervals

Results

187.0ms

8000×

body

valid

Details

sample13.0ms

simplify3.0ms

prune2.0ms

localize9.0ms

rewrite13.0ms

series14.0ms

simplify42.0ms

prune56.0ms

localize4.0ms

rewrite5.0ms

series5.0ms

simplify42.0ms

prune47.0ms

localize7.0ms

rewrite16.0ms

series28.0ms

simplify57.0ms

prune94.0ms

localize11.0ms

rewrite47.0ms

series54.0ms

simplify65.0ms

prune144.0ms

regimes50.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample306.0ms

Profiling