Details

sample44.0ms

Algorithm

intervals

Results

14.0ms	273×	body	80	valid
13.0ms	266×	body	80	nan

simplify111.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	65	7
2	190	7
3	412	7
4	644	7
5	1083	7
6	1628	7
7	2273	7
8	3723	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

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 3.0 (sqrt x))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.8b	(/ 1.0 (* x 9.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
24×	`prod-diff`
23×	`add-cube-cbrt`
15×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
12×	`associate-r`
10×	`pow1`
7×	`distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `sqrt-prod`
3×	`expm1-log1p-u` `times-frac` `log1p-expm1-u` `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` `difference-of-squares`

Counts

3 → 102

Calls

3 calls:

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

series117.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* 3.0 (sqrt x))
59.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
19.0ms	(/ 1.0 (* x 9.0))

simplify70.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	539	1055
1	2716	802
2	5001	796

prune178.0ms

Filtered

111 candidates to 59 candidates (53.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	99	12	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	12	112

Merged error: 0.0b

Counts

112 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

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)))
0.8b	(/ 1.0 (* x 9.0))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

92×	`*-un-lft-identity`
75×	`distribute-rgt-in` `distribute-lft-in`
72×	`prod-diff`
57×	`add-sqr-sqrt`
51×	`add-cube-cbrt`
19×	`distribute-lft-out`
15×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`associate-l`
7×	`associate-r`
6×	`sub-neg` `associate-*r/` `associate--l+`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `sqrt-prod`
3×	`expm1-log1p-u` `times-frac` `log1p-expm1-u` `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` `difference-of-squares`

Counts

3 → 164

Calls

3 calls:

13.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
18.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
4.0ms	(/ 1.0 (* x 9.0))

series167.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
66.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
16.0ms	(/ 1.0 (* x 9.0))

simplify79.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	578	2329
1	2491	1678
2	5001	1672

prune244.0ms

Filtered

173 candidates to 68 candidates (39.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	168	5	173
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	174	11	185

Merged error: 0.0b

Counts

185 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x))
0.3b	(* 3.0 (* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x)))
0.3b	(* 3.0 (* y (sqrt x)))
0.8b	(/ 1.0 (* x 9.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
16×	`pow1`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt` `associate-l`
8×	`associate-r` `prod-exp` `cbrt-unprod`
7×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-*l/` `sqrt-prod` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `flip3--` `associate-*r/` `div-exp` `flip--` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 93

Calls

4 calls:

14.0ms	(* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x))
11.0ms	(* 3.0 (* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x)))
5.0ms	(* 3.0 (* y (sqrt x)))
6.0ms	(/ 1.0 (* x 9.0))

series204.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x))
73.0ms	(* 3.0 (* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x)))
52.0ms	(* 3.0 (* y (sqrt x)))
16.0ms	(/ 1.0 (* x 9.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	465	644
1	1939	554
2	5001	543

prune210.0ms

Filtered

105 candidates to 72 candidates (68.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	105	11	116

Merged error: 0.0b

Counts

116 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (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))))
0.4b	(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.8b	(/ 1.0 (* x 9.0))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

255×	`distribute-rgt-in` `distribute-lft-in`
198×	`*-un-lft-identity`
168×	`prod-diff`
115×	`add-sqr-sqrt`
109×	`add-cube-cbrt`
43×	`distribute-lft-out`
37×	`add-exp-log`
32×	`pow1`
25×	`add-cbrt-cube`
20×	`prod-exp` `cbrt-unprod`
19×	`pow-prod-down`
14×	`sub-neg` `associate--l+`
13×	`associate-l`
12×	`associate-*r/`
8×	`associate-r`
4×	`expm1-log1p-u` `sqrt-prod` `log1p-expm1-u` `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` `difference-of-squares`

Counts

4 → 319

Calls

4 calls:

12.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
23.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
14.0ms	(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
4.0ms	(/ 1.0 (* x 9.0))

series299.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
95.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
135.0ms	(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
16.0ms	(/ 1.0 (* x 9.0))

simplify175.0ms

Algorithm

egg-herbie

Counts

331 → 331

Iterations

Useful iterations: 2 (115.0ms)

Iter	Nodes	Cost
0	1322	6660
1	4267	4385
2	5001	4369

prune270.0ms

Filtered

331 candidates to 96 candidates (29.0%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	330	1	331
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	331	11	342

Merged error: 0b

Counts

342 → 11

regimes143.0ms

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	20	10
1	20	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

364.0ms	8522×	body	80	valid
353.0ms	8565×	body	80	nan