Details

analyze50.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
12.5%	62.4%	25.1%	5
31.2%	31.2%	37.6%	6
37.5%	25%	37.6%	7
40.6%	15.6%	43.8%	8
42.9%	11.7%	45.4%	9
44.1%	7.4%	48.5%	10
45.1%	5.7%	49.3%	11
45.6%	3.6%	50.8%	12
46%	2.8%	51.2%	13
46.2%	1.8%	52%	14

sample18.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
0.0ms	6×	body	80	nan
0.0ms	3×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	372	14
1	372	14

prune9.0ms

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: 0.3b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

8.0ms	(+ y (- (/ 1.0 (* x 9.0)) 1.0))
13.0ms	(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
11.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))
4.0ms	(/ 1.0 (* x 9.0))

series28.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ y (- (/ 1.0 (* x 9.0)) 1.0))
10.0ms	(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
12.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))
2.0ms	(/ 1.0 (* x 9.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4970	1229
1	4970	1229

prune167.0ms

Filtered

72 candidates to 101 candidates (-40.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	89	12	101
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	90	13	103

Merged error: 0.0b

Counts

103 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

10.0ms	(* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0))
10.0ms	(* 3.0 (* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0)))
5.0ms	(* 3.0 (* (sqrt x) y))
4.0ms	(/ 1.0 (* x 9.0))

series26.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0))
7.0ms	(* 3.0 (* (sqrt x) (- (/ 1.0 (* x 9.0)) 1.0)))
11.0ms	(* 3.0 (* (sqrt x) y))
2.0ms	(/ 1.0 (* x 9.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5432	1175

prune180.0ms

Filtered

70 candidates to 103 candidates (-47.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	104	12	116

Merged error: 0.0b

Counts

116 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

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

series31.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* 9.0 (sqrt x))
9.0ms	(* 3.0 (+ (/ 1.0 (* 9.0 (sqrt x))) (* 1.0 (neg (sqrt x)))))
7.0ms	(/ 1.0 (* 9.0 (sqrt x)))
11.0ms	(* 3.0 (* (sqrt x) y))

simplify41.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5114	1003

prune162.0ms

Filtered

74 candidates to 96 candidates (-29.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	95	13	108

Merged error: 0.0b

Counts

108 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt x) y)
0.3b	(* 3.0 (+ (/ (/ 1.0 9.0) (sqrt x)) (* 1.0 (neg (sqrt x)))))
0.3b	(* 3.0 (* (sqrt x) y))
0.4b	(/ (/ 1.0 9.0) (sqrt x))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
93×	`add-sqr-sqrt`
87×	`add-cube-cbrt` `*-un-lft-identity`
46×	`sqrt-prod`
18×	`add-exp-log` `add-cbrt-cube`
13×	`pow1` `associate-/l*`
12×	`associate-l`
8×	`div-inv`
7×	`associate-r`
6×	`associate-/r*`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative` `unswap-sqr`
2×	`associate-*r/`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `clear-num` `flip-+` `associate-/l/`

Counts

4 → 174

Calls

4 calls:

4.0ms	(* (sqrt x) y)
22.0ms	(* 3.0 (+ (/ (/ 1.0 9.0) (sqrt x)) (* 1.0 (neg (sqrt x)))))
5.0ms	(* 3.0 (* (sqrt x) y))
7.0ms	(/ (/ 1.0 9.0) (sqrt x))

series40.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (sqrt x) y)
14.0ms	(* 3.0 (+ (/ (/ 1.0 9.0) (sqrt x)) (* 1.0 (neg (sqrt x)))))
11.0ms	(* 3.0 (* (sqrt x) y))
7.0ms	(/ (/ 1.0 9.0) (sqrt x))

simplify67.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4971	2346
1	4971	2346

prune240.0ms

Filtered

128 candidates to 186 candidates (-45.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	184	2	186
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	187	12	199

Merged error: 0.0b

Counts

199 → 12

regimes219.0ms

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	30	21
1	30	21

end0.0ms

analyze46.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
12.5%	62.4%	25.1%	5
31.2%	31.2%	37.6%	6
37.5%	25%	37.6%	7
40.6%	15.6%	43.8%	8
42.9%	11.7%	45.4%	9
44.1%	7.4%	48.5%	10
45.1%	5.7%	49.3%	11
45.6%	3.6%	50.8%	12
46%	2.8%	51.2%	13
46.2%	1.8%	52%	14

sample462.0ms

Algorithm

intervals

Results

328.0ms	8000×	body	80	valid
6.0ms	143×	body	80	nan
3.0ms	74×	body	80	invalid

Details

analyze50.0ms

sample18.0ms

simplify7.0ms

prune9.0ms

localize9.0ms

rewrite39.0ms

series28.0ms

simplify48.0ms

prune167.0ms

localize13.0ms

rewrite32.0ms

series26.0ms

simplify48.0ms

prune180.0ms

localize15.0ms

rewrite25.0ms

series31.0ms

simplify41.0ms

prune162.0ms

localize15.0ms

rewrite45.0ms

series40.0ms

simplify67.0ms

prune240.0ms

regimes219.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze46.0ms

sample462.0ms

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