Details

sample39.0ms

Algorithm

intervals

Results

11.0ms	276×	body	80	valid
9.0ms	249×	body	80	nan

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	47	7
2	73	7
3	92	7
4	105	7
5	128	7
6	161	7
7	210	7
8	244	7
9	244	7

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))
0.5b	(/ 1.0 (* x 9.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

9.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
8.0ms	(/ y (* 3.0 (sqrt x)))
5.0ms	(* 3.0 (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))

series279.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
97.0ms	(/ y (* 3.0 (sqrt x)))
71.0ms	(* 3.0 (sqrt x))
19.0ms	(/ 1.0 (* x 9.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	528	590
1	2266	548
2	5001	546

prune477.0ms

Filtered

97 candidates to 71 candidates (26.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	85	12	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	12	98

Merged error: 0.0b

Counts

98 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 134

Calls

4 calls:

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

series283.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
106.0ms	(/ y (* 3.0 (sqrt x)))
19.0ms	(/ (/ 1.0 x) 9.0)
74.0ms	(* 3.0 (sqrt x))

simplify79.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	752	956
1	3127	906
2	5002	906

prune1.3s

Filtered

146 candidates to 113 candidates (22.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	146	12	158

Merged error: 0.0b

Counts

158 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.3b	(/ (/ y 3.0) (sqrt x))
0.5b	(/ 1.0 (* x 9.0))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
98×	`add-sqr-sqrt`
87×	`*-un-lft-identity`
82×	`add-cube-cbrt`
44×	`sqrt-prod`
16×	`associate-/l*`
13×	`add-exp-log` `add-cbrt-cube`
9×	`div-inv`
8×	`add-log-exp`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `difference-of-squares`
3×	`pow1` `diff-log` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `frac-2neg` `associate--l+` `clear-num` `frac-sub` `flip--`
1×	`associate--l-` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

3 → 158

Calls

3 calls:

37.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
7.0ms	(/ (/ y 3.0) (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))

series210.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
103.0ms	(/ (/ y 3.0) (sqrt x))
20.0ms	(/ 1.0 (* x 9.0))

simplify74.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	764	1441
1	2994	1367
2	5001	1367

prune1.0s

Filtered

167 candidates to 112 candidates (32.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	167	12	179

Merged error: 0.0b

Counts

179 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (* (/ 1 x) (/ 1.0 9.0))) (/ y (* 3.0 (sqrt x))))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))
0.4b	(* (/ 1 x) (/ 1.0 9.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
33×	`add-exp-log`
28×	`times-frac`
27×	`*-un-lft-identity`
23×	`add-cube-cbrt` `add-cbrt-cube`
19×	`associate-r`
16×	`associate-l`
10×	`div-exp` `prod-exp`
9×	`add-log-exp`
8×	`pow1` `unswap-sqr`
6×	`cbrt-undiv` `cbrt-unprod`
4×	`sqrt-prod`
3×	`diff-log` `div-inv` `associate-/l*`
2×	`sub-neg` `rec-exp` `flip3--` `1-exp` `pow-prod-down` `associate--l+` `*-commutative` `frac-sub` `flip--`
1×	`associate--l-` `frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/r*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 119

Calls

4 calls:

7.0ms	(- (- 1.0 (* (/ 1 x) (/ 1.0 9.0))) (/ y (* 3.0 (sqrt x))))
5.0ms	(/ y (* 3.0 (sqrt x)))
5.0ms	(* 3.0 (sqrt x))
11.0ms	(* (/ 1 x) (/ 1.0 9.0))

series279.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- (- 1.0 (* (/ 1 x) (/ 1.0 9.0))) (/ y (* 3.0 (sqrt x))))
100.0ms	(/ y (* 3.0 (sqrt x)))
73.0ms	(* 3.0 (sqrt x))
23.0ms	(* (/ 1 x) (/ 1.0 9.0))

simplify84.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	755	826
1	3512	727
2	5001	720

prune748.0ms

Filtered

131 candidates to 94 candidates (28.2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	131	12	143

Merged error: 0.0b

Counts

143 → 12

regimes237.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

351.0ms	8525×	body	80	valid
323.0ms	8527×	body	80	nan

Details

sample39.0ms

simplify15.0ms

prune3.0ms

localize9.0ms

rewrite29.0ms

series279.0ms

simplify53.0ms

prune477.0ms

localize9.0ms

rewrite40.0ms

series283.0ms

simplify79.0ms

prune1.3s

localize9.0ms

rewrite56.0ms

series210.0ms

simplify74.0ms

prune1.0s

localize10.0ms

rewrite31.0ms

series279.0ms

simplify84.0ms

prune748.0ms

regimes237.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling