Details

sample27.0ms

Algorithm

intervals

Results

14.0ms

354×

body

valid

simplify40.0ms

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

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: 3.4b

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	(/ y (* z 3.0))
0.2b	(* (* z 3.0) y)
7.1b	(/ t (* (* z 3.0) y))

rewrite25.0ms

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:

9.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
4.0ms	(/ y (* z 3.0))
5.0ms	(* (* z 3.0) y)
5.0ms	(/ t (* (* z 3.0) y))

series142.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
17.0ms	(/ y (* z 3.0))
19.0ms	(* (* z 3.0) y)
31.0ms	(/ 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

prune174.0ms

Filtered

93 candidates to 62 candidates (66.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	86	7	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	7	94

Merged error: 0.0b

Counts

94 → 7

localize13.0ms

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))
4.4b	(/ (/ t (* z 3.0)) y)

rewrite31.0ms

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:

14.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
4.0ms	(/ t (* z 3.0))
4.0ms	(/ y (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

series141.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(+ (- 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)

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

prune217.0ms

Filtered

121 candidates to 88 candidates (72.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	118	3	121
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	121	7	128

Merged error: 0b

Counts

128 → 7

localize14.0ms

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))
4.4b	(/ (/ (/ t z) 3.0) y)

rewrite84.0ms

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:

45.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ (/ t z) 3.0) y))
6.0ms	(/ (/ t z) 3.0)
4.0ms	(/ y (* z 3.0))
12.0ms	(/ (/ (/ t z) 3.0) y)

series144.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ (/ t z) 3.0) y))
18.0ms	(/ (/ t z) 3.0)
23.0ms	(/ y (* z 3.0))
27.0ms	(/ (/ (/ t z) 3.0) y)

simplify105.0ms

Algorithm

egg-herbie

Counts

314 → 314

Iterations

Useful iterations: 1 (26.0ms)

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

prune905.0ms

Filtered

314 candidates to 263 candidates (83.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	314	0	314
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	314	7	321

Merged error: 0b

Counts

321 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ (* (/ 1 z) (/ t 3.0)) y))
0.2b	(/ y (* z 3.0))
0.3b	(* (/ 1 z) (/ t 3.0))
4.4b	(/ (* (/ 1 z) (/ t 3.0)) y)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-exp-log`
39×	`add-sqr-sqrt` `add-cbrt-cube`
31×	`times-frac`
29×	`*-un-lft-identity`
27×	`div-exp`
22×	`add-cube-cbrt`
17×	`prod-exp`
15×	`cbrt-undiv`
13×	`associate-r` `associate-l`
9×	`cbrt-unprod` `add-log-exp`
6×	`pow1` `unswap-sqr`
4×	`rec-exp` `1-exp` `associate-/r` `div-inv` `associate-/l`
3×	`associate-/l/`
2×	`frac-times` `associate-+l+` `frac-2neg` `associate-r/` `associate-l/` `frac-add` `clear-num` `sum-log` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `pow-prod-down` `*-commutative` `flip--` `flip-+` `distribute-lft-out--`

Counts

4 → 130

Calls

4 calls:

9.0ms	(+ (- x (/ y (* z 3.0))) (/ (* (/ 1 z) (/ t 3.0)) y))
4.0ms	(/ y (* z 3.0))
10.0ms	(* (/ 1 z) (/ t 3.0))
8.0ms	(/ (* (/ 1 z) (/ t 3.0)) y)

series133.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(+ (- x (/ y (* z 3.0))) (/ (* (/ 1 z) (/ t 3.0)) y))
21.0ms	(/ y (* z 3.0))
15.0ms	(* (/ 1 z) (/ t 3.0))
26.0ms	(/ (* (/ 1 z) (/ t 3.0)) y)

simplify72.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	697	857
1	3211	724
2	5001	717

prune215.0ms

Filtered

142 candidates to 89 candidates (62.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	142	7	149

Merged error: 0b

Counts

149 → 7

regimes159.0ms

Accuracy

72.3% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.7b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	17
1	35	17

end0.0ms

sample763.0ms

Algorithm

intervals

Results

472.0ms

11159×

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

sample27.0ms

simplify40.0ms

prune2.0ms

localize9.0ms

rewrite25.0ms

series142.0ms

simplify53.0ms

prune174.0ms

localize13.0ms

rewrite31.0ms

series141.0ms

simplify50.0ms

prune217.0ms

localize14.0ms

rewrite84.0ms

series144.0ms

simplify105.0ms

prune905.0ms

localize13.0ms

rewrite35.0ms

series133.0ms

simplify72.0ms

prune215.0ms

regimes159.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample763.0ms

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