Details

sample32.0ms

Algorithm

intervals

Results

18.0ms

457×

body

valid

simplify54.0ms

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: 29.5b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
4.0b	(- (+ (* x x) (* y y)) (* z z))
27.5b	(/ (- (+ (* 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))

series150.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ (* x x) (* y y))
44.0ms	(- (+ (* x x) (* y y)) (* z z))
80.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify39.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (33.0ms)

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

prune133.0ms

Filtered

61 candidates to 46 candidates (75.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	55	6	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	6	62

Merged error: 10.2b

Counts

62 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
0.0b	(+ y (/ (pow x 2) y))
9.2b	(/ (pow z 2) y)
9.5b	(/ (pow x 2) y)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

52×	`times-frac`
50×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
38×	`add-cube-cbrt`
25×	`unpow-prod-down`
16×	`associate-/l*`
14×	`add-exp-log`
11×	`add-log-exp`
9×	`unpow2` `sqr-pow`
8×	`add-cbrt-cube`
6×	`div-exp` `associate-/r*`
5×	`difference-of-squares`
4×	`pow1`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `flip3-+` `diff-log` `pow-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 133

Calls

4 calls:

19.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
9.0ms	(+ y (/ (pow x 2) y))
5.0ms	(/ (pow z 2) y)
7.0ms	(/ (pow x 2) y)

series103.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
26.0ms	(+ y (/ (pow x 2) y))
22.0ms	(/ (pow z 2) y)
18.0ms	(/ (pow x 2) y)

simplify46.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	419	838
1	1459	771
2	5002	759

prune314.0ms

Filtered

145 candidates to 92 candidates (63.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	139	6	145
Fresh	4	1	5
Picked	1	0	1
Done	0	0	0
Total	144	7	151

Merged error: 1.0b

Counts

151 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y (/ (pow x 2) y)) (* z (/ z y)))
0.0b	(+ y (/ (pow x 2) y))
0.1b	(* z (/ z y))
9.5b	(/ (pow x 2) y)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt` `times-frac`
31×	`*-un-lft-identity`
29×	`add-cube-cbrt`
14×	`add-exp-log`
13×	`associate-r`
12×	`unpow-prod-down`
11×	`add-cbrt-cube` `add-log-exp`
8×	`associate-/l*`
6×	`pow1`
4×	`div-exp` `unpow2` `sqr-pow`
3×	`associate-r/` `associate-l` `associate-/r`
2×	`cbrt-undiv` `flip3-+` `diff-log` `prod-exp` `sum-log` `frac-sub` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `pow-prod-down` `pow-exp` `associate--l+` `clear-num` `*-commutative` `flip--` `distribute-lft-out`

Counts

4 → 109

Calls

4 calls:

11.0ms	(- (+ y (/ (pow x 2) y)) (* z (/ z y)))
9.0ms	(+ y (/ (pow x 2) y))
9.0ms	(* z (/ z y))
5.0ms	(/ (pow x 2) y)

series102.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (+ y (/ (pow x 2) y)) (* z (/ z y)))
29.0ms	(+ y (/ (pow x 2) y))
18.0ms	(* z (/ z y))
18.0ms	(/ (pow x 2) y)

simplify55.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	428	638
1	1829	584
2	5001	581

prune229.0ms

Filtered

121 candidates to 79 candidates (65.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	122	6	128

Merged error: 0.0b

Counts

128 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y (* x (/ x y))) (* z (/ z y)))
0.0b	(+ y (* x (/ x y)))
0.1b	(* z (/ z y))
0.2b	(* x (/ x y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
26×	`associate-r`
20×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
8×	`pow1`
6×	`associate-l`
4×	`associate-*r/` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-undiv` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `sum-log` `*-commutative` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 91

Calls

4 calls:

5.0ms	(- (+ y (* x (/ x y))) (* z (/ z y)))
3.0ms	(+ y (* x (/ x y)))
6.0ms	(* z (/ z y))
7.0ms	(* x (/ x y))

series104.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (+ y (* x (/ x y))) (* z (/ z y)))
26.0ms	(+ y (* x (/ x y)))
21.0ms	(* z (/ z y))
19.0ms	(* x (/ x y))

simplify62.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	439	527
1	2154	482
2	5002	482

prune158.0ms

Filtered

103 candidates to 69 candidates (67.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	102	7	109

Merged error: 0b

Counts

109 → 7

regimes137.0ms

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

sample845.0ms

Algorithm

intervals

Results

568.0ms

13747×

body

valid