Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

365×

body

valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	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: 4.4b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b	(/ y (* z 3.0))
0.2b	(* (* z 3.0) y)
6.8b	(/ t (* (* z 3.0) y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
23×	`add-exp-log` `add-cube-cbrt` `associate-+l+` `add-cbrt-cube`
21×	`prod-diff`
15×	`times-frac`
9×	`pow1` `add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-/l*`
5×	`cbrt-undiv` `fma-def` `div-exp` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/r*` `sum-log` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `associate-l` `*-commutative` `flip--` `flip-+` `difference-of-squares`

Counts

4 → 115

Calls

4 calls:

13.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
4.0ms	(/ y (* z 3.0))
8.0ms	(* (* z 3.0) y)
6.0ms	(/ t (* (* z 3.0) y))

series147.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
23.0ms	(/ y (* z 3.0))
20.0ms	(* (* z 3.0) y)
29.0ms	(/ t (* (* z 3.0) y))

simplify78.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	500	905
1	2477	746
2	5001	698

prune315.0ms

Filtered

127 candidates to 95 candidates (74.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	119	8	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	8	128

Merged error: 0.0b

Counts

128 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b	(/ y (* z 3.0))
0.2b	(/ t (* z 3.0))
4.1b	(/ (/ t (* z 3.0)) y)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

48×	`times-frac`
45×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
23×	`add-exp-log` `associate-+l+` `add-cbrt-cube`
21×	`prod-diff`
13×	`associate-/l*`
10×	`div-inv`
9×	`cbrt-undiv` `div-exp` `add-log-exp`
5×	`fma-def` `associate-/r*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod`
2×	`frac-add` `sum-log` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+` `associate-/l/` `difference-of-squares`

Counts

4 → 143

Calls

4 calls:

18.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
4.0ms	(/ y (* z 3.0))
4.0ms	(/ t (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

series151.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
19.0ms	(/ y (* z 3.0))
19.0ms	(/ t (* z 3.0))
33.0ms	(/ (/ t (* z 3.0)) y)

simplify73.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	577	1093
1	2337	935
2	5001	887

prune377.0ms

Filtered

155 candidates to 121 candidates (78.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	153	2	155
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	155	8	163

Merged error: 0b

Counts

163 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
0.2b	(/ (/ y z) 3.0)
0.2b	(/ t (* z 3.0))
4.1b	(/ (/ t (* z 3.0)) y)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

312×	`times-frac`
222×	`add-sqr-sqrt`
220×	`*-un-lft-identity`
213×	`add-cube-cbrt`
131×	`associate-+l+`
129×	`prod-diff`
23×	`add-exp-log` `add-cbrt-cube` `div-inv` `associate-/l*`
10×	`cbrt-undiv` `div-exp`
9×	`add-log-exp`
7×	`fma-def` `associate-/r*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `clear-num` `difference-of-squares`
2×	`frac-add` `prod-exp` `sum-log` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+`

Counts

4 → 302

Calls

4 calls:

37.0ms	(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
6.0ms	(/ (/ y z) 3.0)
4.0ms	(/ t (* z 3.0))
7.0ms	(/ (/ t (* z 3.0)) y)

series147.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
24.0ms	(/ (/ y z) 3.0)
19.0ms	(/ t (* z 3.0))
29.0ms	(/ (/ t (* z 3.0)) y)

simplify76.0ms

Algorithm

egg-herbie

Counts

314 → 314

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1289	4253
1	5001	3918

prune1.1s

Filtered

314 candidates to 274 candidates (87.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	314	0	314
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	314	8	322

Merged error: 0b

Counts

322 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (* z 3.0)))
0.2b	(/ (/ t z) 3.0)
0.2b	(/ y (* z 3.0))
4.1b	(/ (/ (/ t z) 3.0) y)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
248×	`add-sqr-sqrt` `*-un-lft-identity`
246×	`add-cube-cbrt`
59×	`associate-/l*`
26×	`div-inv`
23×	`add-exp-log` `add-cbrt-cube`
21×	`prod-diff`
11×	`cbrt-undiv` `div-exp`
7×	`associate-/r*`
6×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `fma-neg` `clear-num`
2×	`associate-/l/`
1×	`sub-neg` `flip3--` `diff-log` `prod-exp` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 329

Calls

4 calls:

6.0ms	(- x (/ y (* z 3.0)))
6.0ms	(/ (/ t z) 3.0)
4.0ms	(/ y (* z 3.0))
13.0ms	(/ (/ (/ t z) 3.0) y)

series115.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- x (/ y (* z 3.0)))
20.0ms	(/ (/ t z) 3.0)
20.0ms	(/ y (* z 3.0))
36.0ms	(/ (/ (/ t z) 3.0) y)

simplify128.0ms

Algorithm

egg-herbie

Counts

341 → 341

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1341	2948
1	4955	2706
2	5001	2706

prune1.1s

Filtered

341 candidates to 276 candidates (80.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	341	0	341
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	341	8	349

Merged error: 0b

Counts

349 → 8

regimes192.0ms

Accuracy

0% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms

sample633.0ms

Algorithm

intervals

Results

366.0ms

11119×

body

valid

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7