Details

sample48.0ms

Algorithm

intervals

Results

24.0ms

345×

body

valid

simplify65.0ms

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

prune4.0ms

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

localize14.0ms

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))

rewrite27.0ms

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

series147.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
20.0ms	(* (* z 3.0) y)
18.0ms	(/ y (* z 3.0))
32.0ms	(/ t (* (* z 3.0) y))

simplify60.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (14.0ms)

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

prune193.0ms

Filtered

93 candidates to 62 candidates (66.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	84	9	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	9	94

Merged error: 0.0b

Counts

94 → 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)

rewrite38.0ms

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:

15.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
8.0ms	(/ y (* z 3.0))
4.0ms	(/ t (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

series141.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
22.0ms	(/ y (* z 3.0))
18.0ms	(/ t (* z 3.0))
28.0ms	(/ (/ t (* z 3.0)) y)

simplify56.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 1 (12.0ms)

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

prune221.0ms

Filtered

121 candidates to 88 candidates (72.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	121	9	130

Merged error: 0.0b

Counts

130 → 9

localize10.0ms

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)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

9.0ms	(+ (- x (/ y (* z 3.0))) (/ (* 0.3333333333333333 (/ t z)) y))
6.0ms	(* 0.3333333333333333 (/ t z))
4.0ms	(/ y (* z 3.0))
9.0ms	(/ (* 0.3333333333333333 (/ t z)) y)

series140.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ (- x (/ y (* z 3.0))) (/ (* 0.3333333333333333 (/ t z)) y))
22.0ms	(* 0.3333333333333333 (/ t z))
18.0ms	(/ y (* z 3.0))
28.0ms	(/ (* 0.3333333333333333 (/ t z)) y)

simplify61.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	494	588
1	2190	525
2	5001	525

prune184.0ms

Filtered

108 candidates to 73 candidates (67.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	108	9	117

Merged error: 0.0b

Counts

117 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ t (* 3.0 (* z y))))
0.2b	(* 3.0 (* z y))
0.2b	(/ y (* z 3.0))
5.8b	(/ t (* 3.0 (* z y)))

rewrite27.0ms

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-l` `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-r` `*-commutative` `flip--` `flip-+` `distribute-lft-out--`

Counts

4 → 81

Calls

4 calls:

10.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* 3.0 (* z y))))
5.0ms	(* 3.0 (* z y))
4.0ms	(/ y (* z 3.0))
6.0ms	(/ t (* 3.0 (* z y)))

series145.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* 3.0 (* z y))))
19.0ms	(* 3.0 (* z y))
21.0ms	(/ y (* z 3.0))
28.0ms	(/ t (* 3.0 (* z y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	408	530
1	1597	467
2	5002	461

prune136.0ms

Filtered

93 candidates to 60 candidates (64.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	94	8	102

Merged error: 0.0b

Counts

102 → 8

regimes166.0ms

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

sample655.0ms

Algorithm

intervals

Results

376.0ms

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