Details

sample30.0ms

Algorithm

intervals

Results

17.0ms

401×

body

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	7
1	55	7
2	101	7
3	182	7
4	335	7
5	731	7
6	1828	7
7	5001	7

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: 25.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
4.5b	(- (+ (* x x) (* y y)) (* z z))
23.2b	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`times-frac` `associate-/l*`
3×	`pow1` `difference-of-squares`
2×	`cbrt-undiv` `flip3--` `diff-log` `div-exp` `sum-log` `flip--` `associate-/l/`
1×	`+-commutative` `sub-neg` `frac-2neg` `flip3-+` `div-sub` `prod-exp` `associate--l+` `clear-num` `associate-/r*` `cbrt-unprod` `flip-+` `div-inv`

Counts

3 → 52

Calls

3 calls:

4.0ms	(+ (* x x) (* y y))
6.0ms	(- (+ (* x x) (* y y)) (* z z))
9.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series147.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (* x x) (* y y))
42.0ms	(- (+ (* x x) (* y y)) (* z z))
78.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	337	520
1	1492	454
2	5001	446

prune131.0ms

Filtered

61 candidates to 46 candidates (75.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	3	62

Merged error: 10.5b

Counts

62 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

8.4b	(/ (pow x 2) y)
9.8b	(/ (pow z 2) y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

48×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
16×	`associate-/l*`
12×	`add-exp-log`
8×	`unpow2` `sqr-pow`
6×	`div-exp` `associate-/r*` `add-cbrt-cube`
2×	`pow1` `cbrt-undiv` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `div-inv` `add-log-exp`

Counts

2 → 98

Calls

2 calls:

5.0ms	(/ (pow x 2) y)
5.0ms	(/ (pow z 2) y)

series41.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(/ (pow x 2) y)
23.0ms	(/ (pow z 2) y)

simplify42.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	270	482
1	962	422
2	5002	415

prune221.0ms

Filtered

104 candidates to 66 candidates (63.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	100	4	104
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	103	4	107

Merged error: 0.8b

Counts

107 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x (/ x y))
9.8b	(/ (pow z 2) y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

34×	`times-frac`
32×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
12×	`add-exp-log` `unpow-prod-down`
9×	`add-cbrt-cube`
8×	`associate-/l*`
4×	`pow1` `div-exp` `unpow2` `sqr-pow`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`pow-to-exp` `frac-2neg` `associate-r/` `pow-prod-down` `pow-exp` `clear-num` `-commutative`

Counts

2 → 81

Calls

2 calls:

7.0ms	(* x (/ x y))
5.0ms	(/ (pow z 2) y)

series36.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(* x (/ x y))
18.0ms	(/ (pow z 2) y)

simplify42.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	291	374
1	1250	323
2	5001	320

prune159.0ms

Filtered

87 candidates to 56 candidates (64.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	88	3	91

Merged error: 0b

Counts

91 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x (/ x y))
0.2b	(* z (/ z y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`associate-r`
20×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-l`
4×	`prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

2 → 64

Calls

2 calls:

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

series39.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(* x (/ x y))
18.0ms	(* z (/ z y))

simplify45.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	299	266
1	1482	224
2	5002	224

prune105.0ms

Filtered

70 candidates to 46 candidates (65.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	70	3	73

Merged error: 0b

Counts

73 → 3

regimes50.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample878.0ms

Algorithm

intervals

Results

583.0ms

13562×

body

valid