Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.3%	13
66.6%	0%	33.3%	14

sample12.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4768	9
1	4768	9

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
0.1b	(* 0.12900613773279798 (pow x 3))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 42

Calls

2 calls:

7.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
6.0ms	(* 0.12900613773279798 (pow x 3))

series13.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
5.0ms	(* 0.12900613773279798 (pow x 3))

simplify47.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4894	393
1	4894	393

prune71.0ms

Filtered

31 candidates to 48 candidates (-54.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Merged error: 0.0b

Counts

50 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
0.2b	(* (* 0.12900613773279798 x) (* x x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `associate-l` `*-commutative` `flip--`

Counts

2 → 33

Calls

2 calls:

4.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
7.0ms	(* (* 0.12900613773279798 x) (* x x))

series14.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 x) (* x x)))
4.0ms	(* (* 0.12900613773279798 x) (* x x))

simplify46.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4912	328
1	4912	328

prune41.0ms

Filtered

21 candidates to 39 candidates (-85.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	39	4	43

Merged error: 0.0b

Counts

43 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt 0.12900613773279798) (sqrt (pow x 3)))
0.2b	(* (sqrt 0.12900613773279798) (sqrt (pow x 3)))
24.4b	(sqrt (pow x 3))
24.4b	(sqrt (pow x 3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

80×	`sqrt-prod`
64×	`add-sqr-sqrt`
30×	`associate-r`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`unswap-sqr`
18×	`unpow-prod-down` `cube-prod`
12×	`associate-l`
10×	`sqr-pow`
8×	`pow1` `add-exp-log` `rem-sqrt-square` `add-cbrt-cube`
6×	`pow1/2`
4×	`cube-mult` `unpow3` `pow-prod-down` `add-log-exp`
2×	`sqrt-pow1` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 138

Calls

4 calls:

9.0ms	(* (sqrt 0.12900613773279798) (sqrt (pow x 3)))
11.0ms	(* (sqrt 0.12900613773279798) (sqrt (pow x 3)))
3.0ms	(sqrt (pow x 3))
3.0ms	(sqrt (pow x 3))

series17.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (sqrt 0.12900613773279798) (sqrt (pow x 3)))
6.0ms	(* (sqrt 0.12900613773279798) (sqrt (pow x 3)))
3.0ms	(sqrt (pow x 3))
3.0ms	(sqrt (pow x 3))

simplify50.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5018	1218

prune247.0ms

Filtered

88 candidates to 150 candidates (-70.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	150	4	154

Merged error: 0.0b

Counts

154 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* x (* 0.954929658551372 0.954929658551372)))
0.2b	(* x (* 0.954929658551372 0.954929658551372))
0.5b	(* 0.12900613773279798 (pow x 6))
29.2b	(/ (- (* x (* x (* 0.954929658551372 0.954929658551372))) (* 0.12900613773279798 (* 0.12900613773279798 (pow x 6)))) (+ (* 0.12900613773279798 (pow x 3)) (* x 0.954929658551372)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
23×	`add-sqr-sqrt`
22×	`add-cbrt-cube`
18×	`pow1`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`times-frac` `associate-r` `associate-l` `pow-prod-down`
4×	`unpow-prod-down` `add-log-exp` `unswap-sqr`
3×	`associate-/r` `-commutative` `associate-/l*`
2×	`associate-/r/` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `pow-exp` `clear-num` `flip--` `flip-+` `div-inv`

Counts

4 → 97

Calls

4 calls:

7.0ms	(* x (* x (* 0.954929658551372 0.954929658551372)))
5.0ms	(* x (* 0.954929658551372 0.954929658551372))
5.0ms	(* 0.12900613773279798 (pow x 6))
13.0ms	(/ (- (* x (* x (* 0.954929658551372 0.954929658551372))) (* 0.12900613773279798 (* 0.12900613773279798 (pow x 6)))) (+ (* 0.12900613773279798 (pow x 3)) (* x 0.954929658551372)))

series31.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* x (* x (* 0.954929658551372 0.954929658551372)))
2.0ms	(* x (* 0.954929658551372 0.954929658551372))
4.0ms	(* 0.12900613773279798 (pow x 6))
19.0ms	(/ (- (* x (* x (* 0.954929658551372 0.954929658551372))) (* 0.12900613773279798 (* 0.12900613773279798 (pow x 6)))) (+ (* 0.12900613773279798 (pow x 3)) (* x 0.954929658551372)))

simplify45.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4990	1598
1	4990	1598

prune179.0ms

Filtered

69 candidates to 109 candidates (-58.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	108	5	113

Merged error: 0b

Counts

113 → 5

regimes38.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	9
1	36	9

end0.0ms

sample317.0ms

Algorithm

intervals

Results

235.0ms

8000×

body

valid

Details

analyze4.0ms

sample12.0ms

simplify108.0ms

prune7.0ms

localize6.0ms

rewrite15.0ms

series13.0ms

simplify47.0ms

prune71.0ms

localize7.0ms

rewrite12.0ms

series14.0ms

simplify46.0ms

prune41.0ms

localize10.0ms

rewrite30.0ms

series17.0ms

simplify50.0ms

prune247.0ms

localize18.0ms

rewrite34.0ms

series31.0ms

simplify45.0ms

prune179.0ms

regimes38.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample317.0ms

Profiling