Details

sample41.0ms

Algorithm

intervals

Results

15.0ms	358×	body	80	nan
12.0ms	275×	body	80	valid

simplify107.0ms

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

localize10.0ms

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))

rewrite31.0ms

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))
7.0ms	(* 3.0 (sqrt x))

series214.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ y (/ 1.0 (* x 9.0)))
111.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
19.0ms	(/ 1.0 (* x 9.0))
58.0ms	(* 3.0 (sqrt x))

simplify65.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	508	558
1	2557	503
2	5001	501

prune206.0ms

Filtered

96 candidates to 64 candidates (66.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	85	11	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	11	97

Merged error: 0.0b

Counts

97 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 133

Calls

4 calls:

12.0ms	(+ y (/ (/ 1.0 x) 9.0))
6.0ms	(/ (/ 1.0 x) 9.0)
20.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
5.0ms	(* 3.0 (sqrt x))

series207.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ y (/ (/ 1.0 x) 9.0))
15.0ms	(/ (/ 1.0 x) 9.0)
112.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
55.0ms	(* 3.0 (sqrt x))

simplify80.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	730	924
1	3357	863
2	5001	863

prune304.0ms

Filtered

145 candidates to 107 candidates (73.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	146	10	156

Merged error: 0.0b

Counts

156 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 147

Calls

4 calls:

21.0ms	(+ y (/ (/ 1.0 x) 9.0))
22.0ms	(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
9.0ms	(/ (/ 1.0 x) 9.0)
37.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

series253.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ y (/ (/ 1.0 x) 9.0))
95.0ms	(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
16.0ms	(/ (/ 1.0 x) 9.0)
117.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

simplify77.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	752	1152
1	3141	1078
2	5003	1078

prune287.0ms

Filtered

159 candidates to 112 candidates (70.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	159	10	169

Merged error: 0.0b

Counts

169 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (sqrt x))
0.3b	(/ (sqrt (/ 1.0 x)) (sqrt 9.0))
0.3b	(/ (sqrt (/ 1.0 x)) (sqrt 9.0))
0.5b	(* (/ (sqrt (/ 1.0 x)) (sqrt 9.0)) (/ (sqrt (/ 1.0 x)) (sqrt 9.0)))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

1162×	`times-frac`
1006×	`sqrt-prod`
869×	`add-sqr-sqrt`
551×	`add-cube-cbrt` `*-un-lft-identity`
148×	`swap-sqr`
106×	`associate-r`
103×	`associate-l`
51×	`unswap-sqr`
48×	`div-inv`
32×	`associate-/l*`
22×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
12×	`associate-/r*`
6×	`cbrt-undiv` `sqrt-undiv` `div-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`frac-2neg` `sqrt-div` `pow-prod-down` `clear-num` `*-commutative` `associate-/l/`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `rem-square-sqrt` `pow-sqr` `pow-prod-up`

Counts

4 → 709

Calls

4 calls:

5.0ms	(* 3.0 (sqrt x))
8.0ms	(/ (sqrt (/ 1.0 x)) (sqrt 9.0))
9.0ms	(/ (sqrt (/ 1.0 x)) (sqrt 9.0))
142.0ms	(* (/ (sqrt (/ 1.0 x)) (sqrt 9.0)) (/ (sqrt (/ 1.0 x)) (sqrt 9.0)))

series450.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* 3.0 (sqrt x))
121.0ms	(/ (sqrt (/ 1.0 x)) (sqrt 9.0))
116.0ms	(/ (sqrt (/ 1.0 x)) (sqrt 9.0))
152.0ms	(* (/ (sqrt (/ 1.0 x)) (sqrt 9.0)) (/ (sqrt (/ 1.0 x)) (sqrt 9.0)))

simplify130.0ms

Algorithm

egg-herbie

Counts

721 → 721

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1953	10532
1	5002	9854

prune1.5s

Filtered

721 candidates to 385 candidates (53.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	721	0	721
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	721	10	731

Merged error: 0.0b

Counts

731 → 10

regimes132.0ms

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	15	7
1	15	7

end0.0ms

sample990.0ms

Algorithm

intervals

Results

375.0ms	8558×	body	80	valid
363.0ms	8595×	body	80	nan

Details

sample41.0ms

simplify107.0ms

prune2.0ms

localize10.0ms

rewrite31.0ms

series214.0ms

simplify65.0ms

prune206.0ms

localize10.0ms

rewrite51.0ms

series207.0ms

simplify80.0ms

prune304.0ms

localize18.0ms

rewrite100.0ms

series253.0ms

simplify77.0ms

prune287.0ms

localize14.0ms

rewrite234.0ms

series450.0ms

simplify130.0ms

prune1.5s

regimes132.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample990.0ms

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