Details

sample30.0ms

Algorithm

intervals

Results

17.0ms

353×

body

valid

simplify42.0ms

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: 2.9b

Counts

2 → 1

localize13.0ms

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))
0.3b	(* (* z 3.0) y)
5.5b	(/ t (* (* z 3.0) y))

rewrite31.0ms

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)))
4.0ms	(/ y (* z 3.0))
5.0ms	(* (* z 3.0) y)
10.0ms	(/ t (* (* z 3.0) y))

series136.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
17.0ms	(/ y (* z 3.0))
21.0ms	(* (* z 3.0) y)
27.0ms	(/ t (* (* z 3.0) y))

simplify53.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

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

prune180.0ms

Filtered

93 candidates to 62 candidates (66.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	81	12	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	12	94

Merged error: 0.0b

Counts

94 → 12

localize9.0ms

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))
0.3b	(/ t (* z 3.0))
4.9b	(/ (/ t (* z 3.0)) y)

rewrite35.0ms

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:

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)

series150.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
18.0ms	(/ y (* z 3.0))
27.0ms	(/ t (* z 3.0))
33.0ms	(/ (/ t (* z 3.0)) y)

simplify50.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	482	721
1	1906	657
2	5002	657

prune229.0ms

Filtered

121 candidates to 87 candidates (71.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	118	3	121
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	122	11	133

Merged error: 0b

Counts

133 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ (/ (/ t z) 3.0) y))
0.2b	(/ (/ t z) 3.0)
0.2b	(/ y (* z 3.0))
4.9b	(/ (/ (/ t z) 3.0) y)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 302

Calls

4 calls:

42.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ (/ t z) 3.0) y))
6.0ms	(/ (/ t z) 3.0)
4.0ms	(/ y (* z 3.0))
16.0ms	(/ (/ (/ t z) 3.0) y)

series138.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ (/ t z) 3.0) y))
22.0ms	(/ (/ t z) 3.0)
18.0ms	(/ y (* z 3.0))
28.0ms	(/ (/ (/ t z) 3.0) y)

simplify119.0ms

Algorithm

egg-herbie

Counts

314 → 314

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1281	2639
1	4805	2558
2	5002	2558

prune755.0ms

Filtered

314 candidates to 262 candidates (83.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	314	0	314
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	314	11	325

Merged error: 0b

Counts

325 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (* (/ t (* z 3.0)) (/ 1 y)))
0.2b	(/ y (* z 3.0))
0.3b	(/ t (* z 3.0))
5.0b	(* (/ t (* z 3.0)) (/ 1 y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-exp-log`
35×	`add-cbrt-cube`
24×	`add-sqr-sqrt`
20×	`times-frac`
18×	`*-un-lft-identity` `div-exp` `prod-exp`
17×	`add-cube-cbrt`
13×	`associate-r`
11×	`cbrt-undiv`
10×	`cbrt-unprod`
9×	`add-log-exp`
8×	`frac-add`
7×	`associate-l`
6×	`pow1` `associate-/l*`
4×	`flip3--` `flip--` `div-inv`
3×	`frac-times` `rec-exp` `1-exp` `associate-r/` `associate-l/` `un-div-inv` `unswap-sqr`
2×	`associate-+l+` `frac-2neg` `clear-num` `associate-/r*` `sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `*-commutative` `flip-+`

Counts

4 → 119

Calls

4 calls:

8.0ms	(+ (- x (/ y (* z 3.0))) (* (/ t (* z 3.0)) (/ 1 y)))
4.0ms	(/ y (* z 3.0))
4.0ms	(/ t (* z 3.0))
14.0ms	(* (/ t (* z 3.0)) (/ 1 y))

series135.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ (- x (/ y (* z 3.0))) (* (/ t (* z 3.0)) (/ 1 y)))
22.0ms	(/ y (* z 3.0))
17.0ms	(/ t (* z 3.0))
27.0ms	(* (/ t (* z 3.0)) (/ 1 y))

simplify79.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	650	911
1	3102	801
2	5002	786

prune206.0ms

Filtered

131 candidates to 84 candidates (64.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	1	8	9
Picked	0	1	1
Done	1	0	1
Total	132	10	142

Merged error: 0b

Counts

142 → 10

regimes204.0ms

Accuracy

54.2% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	25
1	34	25

end0.0ms

sample746.0ms

Algorithm

intervals

Results

454.0ms

11090×

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