Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

329×

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: 2.4b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
4.5b	(* (/ x y) z)

rewrite23.0ms

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:

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

series94.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (+ x 4.0) y)
47.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
21.0ms	(* (/ x y) z)

simplify118.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (32.0ms)

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

prune180.0ms

Filtered

88 candidates to 63 candidates (71.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	83	5	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	6	89

Merged error: 0b

Counts

89 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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:

19.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series540.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))
174.0ms	(cbrt y)
171.0ms	(cbrt y)
174.0ms	(cbrt y)

simplify64.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	406	967
1	2208	635
2	5002	488

prune191.0ms

Filtered

94 candidates to 53 candidates (56.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	94	6	100

Merged error: 0b

Counts

100 → 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)))
5.8b	(* x (/ z y))

rewrite23.0ms

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)))
7.0ms	(* x (/ z y))

series90.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (+ x 4.0) y)
45.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
19.0ms	(* x (/ z y))

simplify42.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (10.0ms)

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

prune157.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

3.8b	(/ (- (+ x 4.0) (* x z)) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

7.0ms

(/ (- (+ x 4.0) (* x z)) y)

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(/ (- (+ x 4.0) (* x z)) y)

simplify63.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	166	252
1	579	234
2	2446	234
3	5002	234

prune63.0ms

Filtered

33 candidates to 26 candidates (78.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	33	6	39

Merged error: 0b

Counts

39 → 6

regimes131.0ms

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

sample497.0ms

Algorithm

intervals

Results

298.0ms

10115×

body

valid