Details

analyze51.0ms

Algorithm: search

sample22.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
0.0ms	4×	body	80	nan
0.0ms	2×	body	80	invalid

simplify111.0ms

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

prune3.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

11.0ms	(* (* 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))

series18.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify63.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	456	491
1	2404	431
2	5001	429

prune134.0ms

Filtered

53 candidates to 81 candidates (-52.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	71	10	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	10	82

Merged error: 0.0b

Counts

82 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 86

Calls

3 calls:

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

series26.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(/ 1.0 (* x 9.0))
10.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
14.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	478	719
1	2120	644
2	5002	644

prune160.0ms

Filtered

58 candidates to 95 candidates (-63.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	90	5	95
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	94	11	105

Merged error: 0.0b

Counts

105 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

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

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

series20.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify51.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	369	418
1	1831	372
2	5002	364

prune136.0ms

Filtered

65 candidates to 95 candidates (-46.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	95	11	106

Merged error: 0.0b

Counts

106 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (* x 9.0))
0.2b	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
0.5b	(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 143

Calls

4 calls:

4.0ms	(/ 1.0 (* x 9.0))
11.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
18.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
12.0ms	(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1.0 (* x 9.0))
10.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
18.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
17.0ms	(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify90.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	807	1792
1	3240	1420
2	5001	1358

prune185.0ms

Filtered

78 candidates to 155 candidates (-98.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	154	1	155
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	155	11	166

Merged error: 0b

Counts

166 → 11

regimes237.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

analyze82.0ms

Algorithm: search

sample461.0ms

Algorithm

intervals

Results

331.0ms	8000×	body	80	valid
5.0ms	121×	body	80	nan
3.0ms	76×	body	80	invalid

Details

analyze51.0ms

sample22.0ms

simplify111.0ms

prune3.0ms

localize9.0ms

rewrite22.0ms

series18.0ms

simplify63.0ms

prune134.0ms

localize9.0ms

rewrite28.0ms

series26.0ms

simplify59.0ms

prune160.0ms

localize11.0ms

rewrite21.0ms

series20.0ms

simplify51.0ms

prune136.0ms

localize15.0ms

rewrite50.0ms

series47.0ms

simplify90.0ms

prune185.0ms

regimes237.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze82.0ms

sample461.0ms

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