Details

sample37.0ms

Algorithm

intervals

Results

17.0ms

383×

body

valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

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: 4.4b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b	(* (* z 3.0) y)
0.5b	(/ y (* z 3.0))
6.5b	(/ t (* (* z 3.0) y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
14×	`*-un-lft-identity`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`times-frac` `associate-/l*`
5×	`cbrt-undiv` `div-exp`
3×	`associate-r` `pow-prod-down`
2×	`associate-+l+` `frac-2neg` `frac-add` `clear-num` `associate-/r*` `sum-log` `div-inv` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `associate-l` `*-commutative` `flip--` `flip-+` `distribute-lft-out--`

Counts

4 → 81

Calls

4 calls:

10.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
5.0ms	(* (* z 3.0) y)
4.0ms	(/ y (* z 3.0))
6.0ms	(/ t (* (* z 3.0) y))

series32.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
6.0ms	(* (* z 3.0) y)
3.0ms	(/ y (* z 3.0))
6.0ms	(/ t (* (* z 3.0) y))

simplify53.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	405	532
1	2039	469
2	5001	469

prune142.0ms

Filtered

93 candidates to 62 candidates (33.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	83	10	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	10	94

Merged error: 0.0b

Counts

94 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.5b	(/ y (* z 3.0))
0.5b	(/ t (* z 3.0))
3.3b	(/ (/ t (* z 3.0)) y)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac`
29×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
9×	`cbrt-undiv` `div-exp` `add-log-exp`
7×	`div-inv`
5×	`associate-/r*`
4×	`pow1`
3×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod`
2×	`associate-+l+` `frac-add` `sum-log` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+` `associate-/l/` `distribute-lft-out--`

Counts

4 → 109

Calls

4 calls:

15.0ms	(+ (- 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)

series31.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
3.0ms	(/ y (* z 3.0))
3.0ms	(/ t (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

simplify49.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	482	721
1	1906	657
2	5001	657

prune152.0ms

Filtered

121 candidates to 87 candidates (28.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	117	4	121
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	123	8	131

Merged error: 0b

Counts

131 → 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)
0.5b	(/ t (* z 3.0))
3.3b	(/ (/ t (* z 3.0)) y)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

111×	`times-frac`
69×	`*-un-lft-identity`
64×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
11×	`div-inv`
10×	`cbrt-undiv` `div-exp`
9×	`add-log-exp`
7×	`associate-/r*`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`associate-+l+` `frac-add` `prod-exp` `sum-log` `cbrt-unprod` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+` `distribute-lft-out--`

Counts

4 → 158

Calls

4 calls:

25.0ms	(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
6.0ms	(/ (/ y z) 3.0)
4.0ms	(/ t (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

series29.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
3.0ms	(/ (/ y z) 3.0)
3.0ms	(/ t (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

simplify66.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	728	1085
1	2934	1019
2	5002	1019

prune200.0ms

Filtered

170 candidates to 131 candidates (22.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	170	8	178

Merged error: 0b

Counts

178 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (* (/ 1 z) (/ y 3.0))) (/ (/ t (* z 3.0)) y))
0.3b	(* (/ 1 z) (/ y 3.0))
0.5b	(/ t (* z 3.0))
3.3b	(/ (/ t (* z 3.0)) y)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

61×	`times-frac`
53×	`add-sqr-sqrt`
40×	`add-exp-log` `*-un-lft-identity`
36×	`add-cube-cbrt`
30×	`add-cbrt-cube`
15×	`div-exp`
13×	`associate-r` `associate-l`
11×	`cbrt-undiv`
10×	`prod-exp` `associate-/l*`
9×	`add-log-exp`
8×	`div-inv`
6×	`pow1` `cbrt-unprod` `unswap-sqr`
4×	`associate-/r*`
2×	`rec-exp` `associate-+l+` `frac-2neg` `1-exp` `frac-add` `clear-num` `sum-log`
1×	`+-commutative` `frac-times` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `flip-+` `associate-/l/` `distribute-lft-out`

Counts

4 → 143

Calls

4 calls:

10.0ms	(+ (- x (* (/ 1 z) (/ y 3.0))) (/ (/ t (* z 3.0)) y))
10.0ms	(* (/ 1 z) (/ y 3.0))
4.0ms	(/ t (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

series32.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (- x (* (/ 1 z) (/ y 3.0))) (/ (/ t (* z 3.0)) y))
3.0ms	(* (/ 1 z) (/ y 3.0))
3.0ms	(/ t (* z 3.0))
8.0ms	(/ (/ t (* z 3.0)) y)

simplify74.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	738	956
1	3458	851
2	5001	841

prune163.0ms

Filtered

155 candidates to 111 candidates (28.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	154	1	155
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	155	8	163

Merged error: 0b

Counts

163 → 8

regimes361.0ms

Accuracy

41.3% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	24
1	39	24

end0.0ms

sample999.0ms

Algorithm

intervals

Results

498.0ms

11139×

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

Details

sample37.0ms

simplify38.0ms

prune4.0ms

localize9.0ms

rewrite26.0ms

series32.0ms

simplify53.0ms

prune142.0ms

localize9.0ms

rewrite32.0ms

series31.0ms

simplify49.0ms

prune152.0ms

localize10.0ms

rewrite50.0ms

series29.0ms

simplify66.0ms

prune200.0ms

localize11.0ms

rewrite36.0ms

series32.0ms

simplify74.0ms

prune163.0ms

regimes361.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample999.0ms

Profiling

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