Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

345×

body

valid

simplify48.0ms

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: 2.6b

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)
0.2b	(/ y (* z 3.0))
5.8b	(/ t (* (* z 3.0) y))

rewrite32.0ms

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))

series150.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
21.0ms	(* (* z 3.0) y)
19.0ms	(/ y (* z 3.0))
33.0ms	(/ t (* (* z 3.0) y))

simplify73.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (63.0ms)

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

prune316.0ms

Filtered

127 candidates to 95 candidates (74.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	118	9	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	119	9	128

Merged error: 0.0b

Counts

128 → 9

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))
3.8b	(/ (/ t (* z 3.0)) y)

rewrite42.0ms

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:

22.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
4.0ms	(/ y (* z 3.0))
4.0ms	(/ t (* 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	(/ y (* z 3.0))
19.0ms	(/ t (* z 3.0))
29.0ms	(/ (/ t (* z 3.0)) y)

simplify72.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (55.0ms)

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

prune354.0ms

Filtered

155 candidates to 120 candidates (77.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	153	2	155
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	155	9	164

Merged error: 0b

Counts

164 → 9

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))
0.2b	(/ y (* z 3.0))
3.8b	(/ (* 0.3333333333333333 (/ t z)) y)

rewrite38.0ms

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)

series147.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ (- x (/ y (* z 3.0))) (/ (* 0.3333333333333333 (/ t z)) y))
19.0ms	(* 0.3333333333333333 (/ t z))
19.0ms	(/ y (* z 3.0))
29.0ms	(/ (* 0.3333333333333333 (/ t z)) y)

simplify78.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (66.0ms)

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

prune323.0ms

Filtered

142 candidates to 106 candidates (74.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	142	9	151

Merged error: 0b

Counts

151 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ t (* z 3.0))) (cbrt (/ t (* z 3.0))))
10.6b	(cbrt (/ t (* z 3.0)))
10.6b	(cbrt (/ t (* z 3.0)))
10.6b	(cbrt (/ t (* z 3.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

53×	`cbrt-prod`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
21×	`times-frac`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 111

Calls

4 calls:

13.0ms	(* (cbrt (/ t (* z 3.0))) (cbrt (/ t (* z 3.0))))
3.0ms	(cbrt (/ t (* z 3.0)))
3.0ms	(cbrt (/ t (* z 3.0)))
4.0ms	(cbrt (/ t (* z 3.0)))

series424.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (cbrt (/ t (* z 3.0))) (cbrt (/ t (* z 3.0))))
95.0ms	(cbrt (/ t (* z 3.0)))
94.0ms	(cbrt (/ t (* z 3.0)))
96.0ms	(cbrt (/ t (* z 3.0)))

simplify123.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	227	881
1	788	822
2	4055	777
3	5001	772

prune344.0ms

Filtered

123 candidates to 97 candidates (78.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	123	9	132

Merged error: 0b

Counts

132 → 9

regimes217.0ms

Accuracy

0% (1.5b remaining)

Error of 1.6b 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	16	7
1	16	7

end0.0ms

sample659.0ms

Algorithm

intervals

Results

373.0ms

11250×

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