Details

sample35.0ms

Algorithm

intervals

Results

11.0ms	270×	body	80	valid
10.0ms	273×	body	80	nan

simplify102.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	65	7
2	182	7
3	338	7
4	488	7
5	757	7
6	1166	7
7	1729	7
8	2793	7
9	5001	7

prune2.0ms

Filtered

1 candidates to 0 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: 0.4b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
12×	`associate-r`
11×	`pow1`
10×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `sqrt-prod`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `associate-r/` `div-exp` `associate--l+` `-commutative` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `sum-log` `flip--` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 84

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
12.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))

series195.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ y (/ 1.0 (* x 9.0)))
90.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
30.0ms	(/ 1.0 (* x 9.0))
42.0ms	(* 3.0 (sqrt x))

simplify53.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	456	548
1	2172	486
2	5002	484

prune187.0ms

Filtered

96 candidates to 62 candidates (64.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	83	13	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	13	97

Merged error: 0.0b

Counts

97 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 (sqrt x)) y)
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))
0.3b	(* 3.0 (sqrt x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log` `add-cbrt-cube`
15×	`associate-r`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-prod`
7×	`associate-l`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`add-log-exp` `unswap-sqr`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 83

Calls

4 calls:

5.0ms	(* (* 3.0 (sqrt x)) y)
4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))
5.0ms	(* 3.0 (sqrt x))

series143.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* 3.0 (sqrt x)) y)
20.0ms	(/ 1.0 (* x 9.0))
35.0ms	(* 3.0 (sqrt x))
39.0ms	(* 3.0 (sqrt x))

simplify43.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	352	414
1	1541	353
2	5001	340

prune185.0ms

Filtered

95 candidates to 62 candidates (65.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	96	12	108

Merged error: 0.0b

Counts

108 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 (sqrt x)) (- (/ 0.1111111111111111 x) 1.0))
0.2b	(* (* 3.0 (sqrt x)) y)
0.3b	(* 3.0 (sqrt x))
0.3b	(* 3.0 (sqrt x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`associate-r`
18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
8×	`associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
4×	`*-commutative` `add-log-exp` `unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `difference-of-squares`
1×	`flip3--` `times-frac` `flip--` `distribute-lft-out--`

Counts

4 → 89

Calls

4 calls:

12.0ms	(* (* 3.0 (sqrt x)) (- (/ 0.1111111111111111 x) 1.0))
9.0ms	(* (* 3.0 (sqrt x)) y)
5.0ms	(* 3.0 (sqrt x))
5.0ms	(* 3.0 (sqrt x))

series203.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (* 3.0 (sqrt x)) (- (/ 0.1111111111111111 x) 1.0))
50.0ms	(* (* 3.0 (sqrt x)) y)
41.0ms	(* 3.0 (sqrt x))
37.0ms	(* 3.0 (sqrt x))

simplify55.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	406	553
1	1945	474
2	5001	459

prune199.0ms

Filtered

101 candidates to 63 candidates (62.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	101	12	113

Merged error: 0.0b

Counts

113 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt x) (- (/ 0.1111111111111111 x) 1.0))
0.2b	(* (* 3.0 (sqrt x)) y)
0.3b	(* 3.0 (* (sqrt x) (- (/ 0.1111111111111111 x) 1.0)))
0.3b	(* 3.0 (sqrt x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
18×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`associate-r`
14×	`*-un-lft-identity`
13×	`associate-l`
12×	`add-cube-cbrt`
10×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
6×	`sub-neg` `associate-*r/`
4×	`*-commutative` `add-log-exp` `unswap-sqr`
2×	`flip3--` `flip--` `difference-of-squares`
1×	`times-frac` `distribute-lft-out--`

Counts

4 → 99

Calls

4 calls:

11.0ms	(* (sqrt x) (- (/ 0.1111111111111111 x) 1.0))
6.0ms	(* (* 3.0 (sqrt x)) y)
17.0ms	(* 3.0 (* (sqrt x) (- (/ 0.1111111111111111 x) 1.0)))
5.0ms	(* 3.0 (sqrt x))

series240.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (sqrt x) (- (/ 0.1111111111111111 x) 1.0))
57.0ms	(* (* 3.0 (sqrt x)) y)
78.0ms	(* 3.0 (* (sqrt x) (- (/ 0.1111111111111111 x) 1.0)))
39.0ms	(* 3.0 (sqrt x))

simplify60.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	451	670
1	2117	584
2	5001	568

prune168.0ms

Filtered

111 candidates to 66 candidates (59.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	110	13	123

Merged error: 0.0b

Counts

123 → 13

regimes136.0ms

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	16	9
1	16	9

end0.0ms

sample1.0s

Algorithm

intervals

Results

368.0ms	8546×	body	80	valid
365.0ms	8626×	body	80	nan