Details

sample22.0ms

Algorithm

intervals

Results

12.0ms

318×

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: 1.9b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
3.3b	(* (/ 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:

6.0ms	(/ (+ x 4.0) y)
9.0ms	(- (/ (+ 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)
43.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
25.0ms	(* (/ x y) z)

simplify144.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (44.0ms)

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

prune176.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

3.1b	(/ (- (+ 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)

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify62.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (6.0ms)

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

prune73.0ms

Filtered

33 candidates to 26 candidates (78.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	34	5	39

Merged error: 0b

Counts

39 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (/ y (- (+ x 4.0) (* x z))))
3.1b	(/ y (- (+ x 4.0) (* x z)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 113

Calls

2 calls:

9.0ms	(/ 1 (/ y (- (+ x 4.0) (* x z))))
7.0ms	(/ y (- (+ x 4.0) (* x z)))

series95.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ 1 (/ y (- (+ x 4.0) (* x z))))
56.0ms	(/ y (- (+ x 4.0) (* x z)))

simplify71.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	471	1204
1	2349	1088
2	5002	1002

prune164.0ms

Filtered

119 candidates to 66 candidates (55.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	119	5	124

Merged error: 0b

Counts

124 → 5

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)))
5.6b	(* 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))

series87.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (+ x 4.0) y)
40.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
22.0ms	(* x (/ z y))

simplify45.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (9.0ms)

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

prune144.0ms

Filtered

88 candidates to 62 candidates (70.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	88	5	93

Merged error: 0b

Counts

93 → 5

regimes165.0ms

Accuracy

86.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.7b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	22
1	26	22

end0.0ms

sample611.0ms

Algorithm

intervals

Results

386.0ms

10089×

body

valid