Details

sample25.0ms

Algorithm

intervals

Results

14.0ms

315×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	29	6
2	38	6
3	45	6
4	51	6
5	54	6
6	54	6

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: 0.9b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b	(/ (+ x 4.0) y)
2.4b	(* (/ x y) z)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`times-frac`
20×	`add-cube-cbrt`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`associate-r` `associate-l/` `associate-/r`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

3 → 79

Calls

3 calls:

8.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
5.0ms	(/ (+ x 4.0) y)
6.0ms	(* (/ x y) z)

series106.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
38.0ms	(/ (+ x 4.0) y)
27.0ms	(* (/ x y) z)

simplify114.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	341	425
1	1212	395
2	4978	394
3	5002	394

prune183.0ms

Filtered

88 candidates to 63 candidates (71.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	82	6	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	6	89

Merged error: 0b

Counts

89 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.7b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
9×	`pow1` `cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-l`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`frac-times` `times-frac` `associate-r/` `associate-r` `-commutative` `div-inv`

Counts

4 → 82

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
17.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series559.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt x)
171.0ms	(cbrt x)
185.0ms	(cbrt x)
22.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify62.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	406	967
1	2218	639
2	5001	524

prune183.0ms

Filtered

94 candidates to 54 candidates (57.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	94	6	100

Merged error: 0b

Counts

100 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ x 4.0))
0.0b	(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
0.1b	(/ 1 (/ y (+ x 4.0)))
2.4b	(* (/ x y) z)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 174

Calls

4 calls:

5.0ms	(/ y (+ x 4.0))
19.0ms	(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
8.0ms	(/ 1 (/ y (+ x 4.0)))
9.0ms	(* (/ x y) z)

series127.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ y (+ x 4.0))
42.0ms	(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
28.0ms	(/ 1 (/ y (+ x 4.0)))
21.0ms	(* (/ x y) z)

simplify73.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	641	1180
1	3132	953
2	5002	947

prune263.0ms

Filtered

186 candidates to 103 candidates (55.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	186	6	192

Merged error: 0b

Counts

192 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* x (/ z y)))
5.4b	(* x (/ z y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`times-frac`
20×	`add-cube-cbrt`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`associate-r/` `associate-l` `associate-/r`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

3 → 79

Calls

3 calls:

5.0ms	(/ (+ x 4.0) y)
8.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
6.0ms	(* x (/ z y))

series90.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (+ x 4.0) y)
42.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
22.0ms	(* x (/ z y))

simplify39.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	349	430
1	1432	403
2	5001	403

prune146.0ms

Filtered

88 candidates to 61 candidates (69.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	88	6	94

Merged error: 0b

Counts

94 → 6

regimes73.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	16
1	19	16

end0.0ms

sample649.0ms

Algorithm

intervals

Results

414.0ms

10118×

body

valid