Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

351×

body

valid

simplify63.0ms

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

prune3.0ms

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: 3.0b

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)
0.2b	(/ y (* z 3.0))
8.2b	(/ t (* (* z 3.0) y))

rewrite37.0ms

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:

17.0ms	(+ (- 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))

series157.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
21.0ms	(* (* z 3.0) y)
20.0ms	(/ y (* z 3.0))
31.0ms	(/ t (* (* z 3.0) y))

simplify84.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (72.0ms)

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

prune339.0ms

Filtered

127 candidates to 95 candidates (74.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	117	10	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	118	10	128

Merged error: 0.0b

Counts

128 → 10

localize15.0ms

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)
8.2b	(/ t (* (* z 3.0) y))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

279×	`times-frac`
207×	`add-sqr-sqrt`
205×	`*-un-lft-identity`
198×	`add-cube-cbrt`
131×	`associate-+l+`
129×	`prod-diff`
23×	`add-exp-log` `add-cbrt-cube`
18×	`div-inv`
16×	`associate-/l*`
9×	`pow1` `add-log-exp`
7×	`fma-def`
6×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
3×	`associate-r` `pow-prod-down` `difference-of-squares`
2×	`frac-2neg` `frac-add` `clear-num` `sum-log` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `associate-l` `*-commutative` `flip--` `flip-+` `associate-/l/`

Counts

4 → 274

Calls

4 calls:

32.0ms	(+ (- x (/ (/ y z) 3.0)) (/ t (* (* z 3.0) y)))
5.0ms	(* (* z 3.0) y)
7.0ms	(/ (/ y z) 3.0)
6.0ms	(/ t (* (* z 3.0) y))

series163.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ (- x (/ (/ y z) 3.0)) (/ t (* (* z 3.0) y)))
22.0ms	(* (* z 3.0) y)
21.0ms	(/ (/ y z) 3.0)
32.0ms	(/ t (* (* z 3.0) y))

simplify81.0ms

Algorithm

egg-herbie

Counts

286 → 286

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1210	4066
1	5002	3730

prune968.0ms

Filtered

286 candidates to 247 candidates (86.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	285	1	286
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	287	9	296

Merged error: 0.0b

Counts

296 → 9

localize11.0ms

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))
8.2b	(/ t (* z (* 3.0 y)))

rewrite38.0ms

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-l` `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-r` `*-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))
5.0ms	(/ y (* z 3.0))
11.0ms	(/ t (* z (* 3.0 y)))

series159.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* z (* 3.0 y))))
27.0ms	(* z (* 3.0 y))
20.0ms	(/ y (* z 3.0))
32.0ms	(/ t (* z (* 3.0 y)))

simplify79.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	509	903
1	2165	744
2	5001	696

prune305.0ms

Filtered

127 candidates to 95 candidates (74.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	128	8	136

Merged error: 0.0b

Counts

136 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (* z 3.0)))
0.0b	(+ (- x (/ y (* z 3.0))) (/ (/ t z) (* 3.0 y)))
0.2b	(/ y (* z 3.0))
4.5b	(/ (/ t z) (* 3.0 y))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
52×	`add-sqr-sqrt` `times-frac`
48×	`add-cube-cbrt`
42×	`prod-diff`
23×	`associate-+l+`
21×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/l*`
11×	`add-log-exp`
10×	`div-inv`
8×	`cbrt-undiv` `div-exp`
5×	`fma-def`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`fma-neg` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `frac-add` `clear-num` `associate-/r*` `sum-log` `flip--` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `associate-/l/`

Counts

4 → 158

Calls

4 calls:

6.0ms	(- x (/ y (* z 3.0)))
16.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t z) (* 3.0 y)))
4.0ms	(/ y (* z 3.0))
7.0ms	(/ (/ t z) (* 3.0 y))

series173.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- x (/ y (* z 3.0)))
85.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t z) (* 3.0 y)))
20.0ms	(/ y (* z 3.0))
32.0ms	(/ (/ t z) (* 3.0 y))

simplify94.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	679	1460
1	2463	1167
2	5002	1080

prune377.0ms

Filtered

170 candidates to 119 candidates (70.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	169	1	170
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	170	8	178

Merged error: 0b

Counts

178 → 8

regimes237.0ms

Accuracy

44.5% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	24
1	38	24

end0.0ms

sample700.0ms

Algorithm

intervals

Results

392.0ms

11041×

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