Details

sample39.0ms

Algorithm

intervals

Results

13.0ms	278×	body	80	nan
11.0ms	279×	body	80	valid

simplify18.0ms

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

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: 0.2b

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
56×	`prod-diff`
42×	`add-cube-cbrt`
30×	`times-frac`
23×	`associate--l+`
16×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-lft-out--`
10×	`div-inv`
9×	`add-log-exp` `difference-of-squares`
6×	`pow1` `associate-r` `associate-/l*`
5×	`fma-neg`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `sqrt-prod` `log1p-expm1-u`
3×	`diff-log` `associate-l` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `flip3--` `frac-2neg` `clear-num` `associate-/r*` `frac-sub` `flip--` `unswap-sqr`
1×	`associate--l-` `pow-prod-down` `*-commutative`

Counts

4 → 154

Calls

4 calls:

13.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
5.0ms	(/ y (* 3.0 (sqrt x)))
5.0ms	(* 3.0 (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))

series159.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
58.0ms	(/ y (* 3.0 (sqrt x)))
41.0ms	(* 3.0 (sqrt x))
16.0ms	(/ 1.0 (* x 9.0))

simplify91.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	768	2009
1	3077	1504
2	5002	1453

prune337.0ms

Filtered

166 candidates to 109 candidates (65.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	156	10	166
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	157	10	167

Merged error: 0.0b

Counts

167 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* 3.0 (sqrt x)) y)
0.3b	(* 3.0 (sqrt x))
0.4b	(/ 1.0 (* x 9.0))
0.8b	(/ 1 (/ (* 3.0 (sqrt x)) y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac`
37×	`add-exp-log`
31×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-cbrt-cube`
16×	`div-exp`
11×	`associate-/r*`
9×	`cbrt-undiv`
7×	`pow1` `div-inv` `associate-/l*`
6×	`associate-r` `prod-exp`
4×	`expm1-log1p-u` `sqrt-prod` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-flip` `pow-prod-down` `associate-/r/` `*-commutative` `inv-pow`

Counts

4 → 128

Calls

4 calls:

5.0ms	(/ (* 3.0 (sqrt x)) y)
5.0ms	(* 3.0 (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))
7.0ms	(/ 1 (/ (* 3.0 (sqrt x)) y))

series186.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ (* 3.0 (sqrt x)) y)
42.0ms	(* 3.0 (sqrt x))
16.0ms	(/ 1.0 (* x 9.0))
59.0ms	(/ 1 (/ (* 3.0 (sqrt x)) y))

simplify69.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	630	778
1	2976	667
2	5001	623

prune251.0ms

Filtered

140 candidates to 86 candidates (61.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	142	8	150

Merged error: 0.0b

Counts

150 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
69×	`times-frac`
63×	`*-un-lft-identity`
56×	`add-cube-cbrt`
33×	`add-exp-log`
26×	`prod-diff`
24×	`sqrt-prod`
23×	`associate--l+` `add-cbrt-cube`
22×	`associate-r`
13×	`associate-l`
11×	`div-exp`
9×	`prod-exp` `add-log-exp` `unswap-sqr`
7×	`cbrt-undiv` `associate-/r*` `div-inv`
6×	`pow1` `frac-sub` `associate-/l*`
5×	`fma-neg` `cbrt-unprod`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`frac-times` `diff-log` `associate-r/` `associate-l/`
2×	`sub-neg` `rec-exp` `frac-2neg` `1-exp` `clear-num` `distribute-lft-out--` `difference-of-squares`
1×	`associate--l-` `pow-prod-down` `*-commutative`

Counts

4 → 189

Calls

4 calls:

11.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
4.0ms	(/ y (sqrt x))
14.0ms	(* (/ 1 3.0) (/ y (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))

series169.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
46.0ms	(/ y (sqrt x))
61.0ms	(* (/ 1 3.0) (/ y (sqrt x)))
16.0ms	(/ 1.0 (* x 9.0))

simplify102.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	900	1708
1	4081	1417
2	5001	1396

prune435.0ms

Filtered

201 candidates to 148 candidates (73.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	200	1	201
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	201	8	209

Merged error: 0b

Counts

209 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

89×	`add-sqr-sqrt`
70×	`times-frac`
64×	`*-un-lft-identity`
56×	`add-cube-cbrt`
35×	`add-exp-log`
26×	`prod-diff`
25×	`sqrt-prod`
23×	`associate--l+` `add-cbrt-cube`
22×	`associate-r`
13×	`associate-l`
12×	`div-exp`
10×	`unswap-sqr`
9×	`prod-exp` `add-log-exp`
8×	`pow1` `frac-sub`
7×	`cbrt-undiv` `associate-/r*` `div-inv`
6×	`associate-/l*`
5×	`flip3--` `fma-neg` `flip--` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`frac-times` `rec-exp` `pow-flip` `diff-log` `1-exp` `associate-r/` `associate-l/` `un-div-inv`
2×	`sub-neg` `frac-2neg` `clear-num` `distribute-lft-out--` `difference-of-squares`
1×	`associate--l-` `sqrt-pow1` `pow1/2` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 199

Calls

4 calls:

11.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ y 3.0) (/ 1 (sqrt x))))
4.0ms	(/ 1 (sqrt x))
15.0ms	(* (/ y 3.0) (/ 1 (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))

series152.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ y 3.0) (/ 1 (sqrt x))))
27.0ms	(/ 1 (sqrt x))
63.0ms	(* (/ y 3.0) (/ 1 (sqrt x)))
17.0ms	(/ 1.0 (* x 9.0))

simplify111.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	982	1766
1	4529	1459
2	5001	1444

prune395.0ms

Filtered

211 candidates to 144 candidates (68.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	210	1	211
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	212	7	219

Merged error: 0b

Counts

219 → 7

regimes58.0ms

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	16	8
1	16	8

end0.0ms

sample1.0s

Algorithm

intervals

Results

371.0ms	8537×	body	80	valid
345.0ms	8590×	body	80	nan

Details

sample39.0ms

simplify18.0ms

prune2.0ms

localize9.0ms

rewrite34.0ms

series159.0ms

simplify91.0ms

prune337.0ms

localize10.0ms

rewrite25.0ms

series186.0ms

simplify69.0ms

prune251.0ms

localize10.0ms

rewrite41.0ms

series169.0ms

simplify102.0ms

prune435.0ms

localize10.0ms

rewrite45.0ms

series152.0ms

simplify111.0ms

prune395.0ms

regimes58.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.0s

Profiling