Details

sample33.0ms

Algorithm

intervals

Results

17.0ms

324×

body

valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

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: 1.2b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
2.8b	(* (/ x y) z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r` `associate-*l/`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `div-inv` `sub-div`

Counts

2 → 46

Calls

2 calls:

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

series65.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
20.0ms	(* (/ x y) z)

simplify83.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	243	262
1	882	237
2	3831	236
3	5003	236

prune120.0ms

Filtered

52 candidates to 38 candidates (73.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	4	53

Merged error: 0.0b

Counts

53 → 4

localize7.0ms

Local error

Found 1 expressions with local error:

2.2b	(/ (- (+ x 4.0) (* x z)) y)

rewrite12.0ms

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:

11.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify97.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (8.0ms)

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

prune140.0ms

Filtered

33 candidates to 26 candidates (78.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	32	5	37

Merged error: 0b

Counts

37 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (/ y (- (+ x 4.0) (* x z))))
2.2b	(/ y (- (+ x 4.0) (* x z)))

rewrite22.0ms

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:

10.0ms	(/ 1 (/ y (- (+ x 4.0) (* x z))))
7.0ms	(/ y (- (+ x 4.0) (* x z)))

series101.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ 1 (/ y (- (+ x 4.0) (* x z))))
60.0ms	(/ y (- (+ x 4.0) (* x z)))

simplify60.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (47.0ms)

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

prune209.0ms

Filtered

119 candidates to 66 candidates (55.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	119	5	124

Merged error: 0b

Counts

124 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ (+ x 4.0) y) (* x (/ z y)))
7.1b	(* x (/ z y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r/` `associate-l*`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `div-inv` `sub-div`

Counts

2 → 46

Calls

2 calls:

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

series63.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
23.0ms	(* x (/ z y))

simplify124.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	258	267
1	1081	245
2	4985	245
3	5001	245

prune154.0ms

Filtered

52 candidates to 36 candidates (69.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	52	5	57

Merged error: 0b

Counts

57 → 5

regimes145.0ms

Accuracy

94.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.7b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	22
1	26	22

end0.0ms

sample510.0ms

Algorithm

intervals

Results

303.0ms

10099×

body

valid