Details

sample14.0ms

Algorithm

intervals

Results

8.0ms

365×

body

valid

simplify188.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	15	5
1	38	4
2	80	4
3	118	4
4	174	4
5	365	4
6	1299	4
7	4620	4
8	5001	4

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.1b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.2b	(* 0.12900613773279798 (* x x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
29×	`associate-r`
14×	`*-un-lft-identity` `unswap-sqr`
10×	`add-cube-cbrt` `associate-l`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`difference-of-squares`
5×	`swap-sqr` `*-commutative`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `distribute-lft-out--` `add-log-exp`
1×	`flip3--` `flip--`

Counts

2 → 69

Calls

2 calls:

16.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
9.0ms	(* 0.12900613773279798 (* x x))

series117.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
24.0ms	(* 0.12900613773279798 (* x x))

simplify49.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	280	312
1	1317	280
2	5001	277

prune104.0ms

Filtered

75 candidates to 41 candidates (54.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	70	5	75
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	71	6	77

Merged error: 0b

Counts

77 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (- 0.954929658551372 (* (* (fabs x) 0.12900613773279798) (sqrt (* x x)))))
0.2b	(* (* (fabs x) 0.12900613773279798) (sqrt (* x x)))
20.1b	(sqrt (* x x))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

106×	`add-sqr-sqrt`
50×	`sqrt-prod`
46×	`associate-r`
45×	`unswap-sqr`
27×	`associate-l`
25×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`pow1`
13×	`difference-of-squares`
11×	`swap-sqr`
10×	`add-exp-log` `*-commutative` `add-cbrt-cube`
6×	`sqrt-pow1`
5×	`rem-sqrt-square` `pow-prod-down`
4×	`prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`pow2` `flip3--` `pow-plus` `pow1/2` `pow-sqr` `pow-prod-up` `flip--`

Counts

3 → 130

Calls

3 calls:

27.0ms	(* x (- 0.954929658551372 (* (* (fabs x) 0.12900613773279798) (sqrt (* x x)))))
17.0ms	(* (* (fabs x) 0.12900613773279798) (sqrt (* x x)))
5.0ms	(sqrt (* x x))

series156.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(* x (- 0.954929658551372 (* (* (fabs x) 0.12900613773279798) (sqrt (* x x)))))
41.0ms	(* (* (fabs x) 0.12900613773279798) (sqrt (* x x)))
11.0ms	(sqrt (* x x))

simplify60.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	425	825
1	1691	754
2	5001	700

prune256.0ms

Filtered

139 candidates to 84 candidates (60.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	137	2	139
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	140	5	145

Merged error: 0b

Counts

145 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (fabs x) (* (sqrt (fabs x)) 0.12900613773279798)) (sqrt (sqrt (* x x))))
0.2b	(* (sqrt (fabs x)) 0.12900613773279798)
0.2b	(* (fabs x) (* (sqrt (fabs x)) 0.12900613773279798))
20.1b	(sqrt (* x x))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

158×	`add-sqr-sqrt`
113×	`sqrt-prod`
86×	`unswap-sqr`
68×	`associate-r`
57×	`associate-l`
30×	`add-cube-cbrt` `*-un-lft-identity`
28×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
13×	`*-commutative`
11×	`swap-sqr` `pow-prod-down`
10×	`prod-exp` `cbrt-unprod`
6×	`sqrt-pow1`
5×	`rem-sqrt-square`
4×	`add-log-exp`
1×	`pow2` `pow-plus` `pow1/2` `pow-sqr` `pow-prod-up`

Counts

4 → 185

Calls

4 calls:

31.0ms	(* (* (fabs x) (* (sqrt (fabs x)) 0.12900613773279798)) (sqrt (sqrt (* x x))))
5.0ms	(* (sqrt (fabs x)) 0.12900613773279798)
10.0ms	(* (fabs x) (* (sqrt (fabs x)) 0.12900613773279798))
5.0ms	(sqrt (* x x))

series123.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* (fabs x) (* (sqrt (fabs x)) 0.12900613773279798)) (sqrt (sqrt (* x x))))
25.0ms	(* (sqrt (fabs x)) 0.12900613773279798)
54.0ms	(* (fabs x) (* (sqrt (fabs x)) 0.12900613773279798))
12.0ms	(sqrt (* x x))

simplify78.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	526	1675
1	2550	1475
2	5001	1386

prune420.0ms

Filtered

197 candidates to 113 candidates (57.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	197	5	202

Merged error: 0b

Counts

202 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 0.12900613773279798 (* x x))
0.2b	(* (* x (+ (sqrt 0.954929658551372) (sqrt (* 0.12900613773279798 (* x x))))) (- (sqrt 0.954929658551372) (sqrt (* 0.12900613773279798 (* x x)))))
20.2b	(sqrt (* 0.12900613773279798 (* x x)))
20.2b	(sqrt (* 0.12900613773279798 (* x x)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

131×	`add-sqr-sqrt`
83×	`sqrt-prod`
80×	`associate-r`
49×	`unswap-sqr`
40×	`*-un-lft-identity`
38×	`associate-l`
28×	`add-cube-cbrt`
26×	`pow1`
16×	`swap-sqr`
15×	`*-commutative`
14×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
12×	`rem-sqrt-square` `pow-prod-down`
8×	`associate-*r/`
6×	`sqrt-pow1` `prod-exp` `cbrt-unprod`
4×	`frac-times` `add-log-exp`
3×	`flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow1/2` `associate-*l/`

Counts

4 → 190

Calls

4 calls:

10.0ms	(* 0.12900613773279798 (* x x))
51.0ms	(* (* x (+ (sqrt 0.954929658551372) (sqrt (* 0.12900613773279798 (* x x))))) (- (sqrt 0.954929658551372) (sqrt (* 0.12900613773279798 (* x x)))))
11.0ms	(sqrt (* 0.12900613773279798 (* x x)))
11.0ms	(sqrt (* 0.12900613773279798 (* x x)))

series369.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* 0.12900613773279798 (* x x))
269.0ms	(* (* x (+ (sqrt 0.954929658551372) (sqrt (* 0.12900613773279798 (* x x))))) (- (sqrt 0.954929658551372) (sqrt (* 0.12900613773279798 (* x x)))))
38.0ms	(sqrt (* 0.12900613773279798 (* x x)))
32.0ms	(sqrt (* 0.12900613773279798 (* x x)))

simplify88.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	544	1438
1	3205	1260
2	5001	1253

prune389.0ms

Filtered

202 candidates to 118 candidates (58.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	202	5	207

Merged error: 0b

Counts

207 → 5

regimes43.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

end0.0ms

sample376.0ms

Algorithm

intervals

Results

260.0ms

11819×

body

valid