Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

338×

body

valid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) z)
0.0b	(+ (* x y) (* (- 1.0 x) z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

6.0ms	(* (- 1.0 x) z)
4.0ms	(+ (* x y) (* (- 1.0 x) z))

series69.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* (- 1.0 x) z)
33.0ms	(+ (* x y) (* (- 1.0 x) z))

simplify117.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	185	183
1	776	166
2	4093	166
3	5001	166

prune75.0ms

Filtered

39 candidates to 28 candidates (71.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0b

Counts

40 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (- 1.0 x) z) (* (- 1.0 x) z))
0.3b	(* (* x y) (* x y))
2.6b	(- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))
26.6b	(/ (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))) (- (* x y) (* (- 1.0 x) z)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
14×	`associate-*l/`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
9×	`flip3--` `flip--`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`frac-times` `pow-plus` `associate-/l*`
3×	`associate-/r*`
2×	`pow2` `associate-r/` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 125

Calls

4 calls:

13.0ms	(* (* (- 1.0 x) z) (* (- 1.0 x) z))
7.0ms	(* (* x y) (* x y))
7.0ms	(- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))
12.0ms	(/ (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))) (- (* x y) (* (- 1.0 x) z)))

series295.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* (- 1.0 x) z) (* (- 1.0 x) z))
38.0ms	(* (* x y) (* x y))
85.0ms	(- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))
134.0ms	(/ (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))) (- (* x y) (* (- 1.0 x) z)))

simplify102.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	559	1312
1	2878	1117
2	5002	1095

prune216.0ms

Filtered

137 candidates to 73 candidates (53.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	137	3	140

Merged error: 0b

Counts

140 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* (- 1.0 x) z))
0.0b	(sqrt (+ (* x y) (* (- 1.0 x) z)))
0.0b	(sqrt (+ (* x y) (* (- 1.0 x) z)))
0.2b	(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

4.0ms	(+ (* x y) (* (- 1.0 x) z))
3.0ms	(sqrt (+ (* x y) (* (- 1.0 x) z)))
4.0ms	(sqrt (+ (* x y) (* (- 1.0 x) z)))
15.0ms	(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

series315.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* x y) (* (- 1.0 x) z))
125.0ms	(sqrt (+ (* x y) (* (- 1.0 x) z)))
124.0ms	(sqrt (+ (* x y) (* (- 1.0 x) z)))
33.0ms	(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

simplify53.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	276	960
1	1042	864
2	5001	832

prune191.0ms

Filtered

110 candidates to 62 candidates (56.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	110	3	113

Merged error: 0b

Counts

113 → 3

regimes71.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample468.0ms

Algorithm

intervals

Results

261.0ms

10079×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4