Details

sample31.0ms

Algorithm

intervals

Results

17.0ms

338×

body

valid

simplify53.0ms

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: 2.5b

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	(* (* z 3.0) y)
0.5b	(/ y (* z 3.0))
7.4b	(/ t (* (* z 3.0) y))

rewrite33.0ms

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)))
5.0ms	(* (* z 3.0) y)
4.0ms	(/ y (* z 3.0))
6.0ms	(/ t (* (* z 3.0) y))

series151.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
20.0ms	(* (* z 3.0) y)
22.0ms	(/ y (* z 3.0))
29.0ms	(/ t (* (* z 3.0) y))

simplify76.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (65.0ms)

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

prune314.0ms

Filtered

127 candidates to 95 candidates (74.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	120	7	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	7	128

Merged error: 0.0b

Counts

128 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.3b	(/ t (* z 3.0))
0.5b	(/ y (* z 3.0))
4.1b	(/ (/ t (* z 3.0)) y)

rewrite43.0ms

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:

19.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
4.0ms	(/ t (* z 3.0))
4.0ms	(/ y (* z 3.0))
7.0ms	(/ (/ t (* z 3.0)) y)

series146.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
19.0ms	(/ t (* z 3.0))
19.0ms	(/ y (* z 3.0))
29.0ms	(/ (/ t (* z 3.0)) y)

simplify70.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (57.0ms)

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

prune360.0ms

Filtered

155 candidates to 120 candidates (77.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	152	3	155
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	155	7	162

Merged error: 0b

Counts

162 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ (* 0.3333333333333333 (/ t z)) y))
0.2b	(* 0.3333333333333333 (/ t z))
0.5b	(/ y (* z 3.0))
4.1b	(/ (* 0.3333333333333333 (/ t z)) y)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 130

Calls

4 calls:

12.0ms	(+ (- x (/ y (* z 3.0))) (/ (* 0.3333333333333333 (/ t z)) y))
7.0ms	(* 0.3333333333333333 (/ t z))
4.0ms	(/ y (* z 3.0))
6.0ms	(/ (* 0.3333333333333333 (/ t z)) y)

series149.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (- x (/ y (* z 3.0))) (/ (* 0.3333333333333333 (/ t z)) y))
19.0ms	(* 0.3333333333333333 (/ t z))
19.0ms	(/ y (* z 3.0))
33.0ms	(/ (* 0.3333333333333333 (/ t z)) y)

simplify81.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	589	960
1	2606	803
2	5001	749

prune327.0ms

Filtered

142 candidates to 106 candidates (74.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	142	7	149

Merged error: 0b

Counts

149 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma 0.3333333333333333 (/ t (* z y)) (- x (* 0.3333333333333333 (/ y z))))
0.2b	(* 0.3333333333333333 (/ y z))
7.4b	(/ t (* z y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-r*` `add-cbrt-cube`
5×	`pow1`
3×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-l` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative` `fma-udef`

Counts

3 → 67

Calls

3 calls:

1.0ms	(fma 0.3333333333333333 (/ t (* z y)) (- x (* 0.3333333333333333 (/ y z))))
7.0ms	(* 0.3333333333333333 (/ y z))
4.0ms	(/ t (* z y))

series139.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(fma 0.3333333333333333 (/ t (* z y)) (- x (* 0.3333333333333333 (/ y z))))
19.0ms	(* 0.3333333333333333 (/ y z))
24.0ms	(/ t (* z y))

simplify40.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	284	329
1	1177	286
2	5002	286

prune162.0ms

Filtered

76 candidates to 56 candidates (73.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	76	7	83

Merged error: 0b

Counts

83 → 7

regimes223.0ms

Accuracy

79.4% (0.4b remaining)

Error of 0.4b 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	36	16
1	36	16

end0.0ms

sample791.0ms

Algorithm

intervals

Results

481.0ms

11043×

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