Details

sample31.0ms

Algorithm

intervals

Results

18.0ms

462×

body

valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 28.1b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

3.9b	(- (+ (* x x) (* y y)) (* z z))
26.1b	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

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

series122.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(- (+ (* x x) (* y y)) (* z z))
79.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify32.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	275	450
1	1168	388
2	5001	380

prune105.0ms

Filtered

47 candidates to 35 candidates (74.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	43	4	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	4	48

Merged error: 11.1b

Counts

48 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
8.3b	(/ (pow z 2) y)
9.0b	(/ (pow x 2) y)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 121

Calls

3 calls:

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

series78.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify44.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	410	766
1	1420	699
2	5002	687

prune268.0ms

Filtered

130 candidates to 82 candidates (63.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	125	5	130
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	127	7	134

Merged error: 1.0b

Counts

134 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
0.2b	(/ x (/ y x))
8.3b	(/ (pow z 2) y)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

103×	`times-frac`
74×	`add-sqr-sqrt`
67×	`*-un-lft-identity`
62×	`add-cube-cbrt`
16×	`associate-/r*`
13×	`add-exp-log` `unpow-prod-down`
11×	`associate-/l*`
10×	`add-cbrt-cube`
8×	`add-log-exp`
6×	`div-exp` `div-inv`
5×	`unpow2` `difference-of-squares` `sqr-pow`
4×	`cbrt-undiv`
3×	`pow1`
2×	`frac-2neg` `diff-log` `clear-num` `frac-sub` `distribute-lft-out--`
1×	`pow-to-exp` `sub-neg` `flip3--` `flip3-+` `pow-exp` `associate--l+` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

3 → 142

Calls

3 calls:

22.0ms	(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
6.0ms	(/ x (/ y x))
5.0ms	(/ (pow z 2) y)

series74.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify78.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	596	977
1	2666	897
2	5001	891

prune312.0ms

Filtered

151 candidates to 103 candidates (68.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	148	3	151
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	151	7	158

Merged error: 0b

Counts

158 → 7

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

85×	`times-frac`
58×	`add-sqr-sqrt`
53×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `associate-r` `associate-/r*` `add-cbrt-cube`
8×	`add-log-exp`
6×	`div-inv`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r/` `associate-l` `associate-/l`
2×	`diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `pow-prod-down` `associate--l+` `clear-num` `sum-log` `associate-/r/` `*-commutative` `flip--` `flip-+`

Counts

3 → 118

Calls

3 calls:

15.0ms	(- (+ y (/ x (/ y x))) (* z (/ z y)))
6.0ms	(* z (/ z y))
6.0ms	(/ x (/ y x))

series79.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- (+ y (/ x (/ y x))) (* z (/ z y)))
18.0ms	(* z (/ z y))
18.0ms	(/ x (/ y x))

simplify76.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	589	777
1	2948	714
2	5001	707

prune210.0ms

Filtered

127 candidates to 88 candidates (69.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	127	7	134

Merged error: 0b

Counts

134 → 7

regimes202.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms

sample973.0ms

Algorithm

intervals

Results

663.0ms

13721×

body

valid