Details

sample27.0ms

Algorithm

intervals

Results

14.0ms

443×

body

valid

simplify56.0ms

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: 24.2b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

3.7b	(- (+ (* x x) (* y y)) (* z z))
22.5b	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite15.0ms

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))

series121.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- (+ (* x x) (* y y)) (* z z))
80.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify35.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (29.0ms)

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

prune102.0ms

Filtered

47 candidates to 35 candidates (74.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	42	5	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	5	48

Merged error: 8.8b

Counts

48 → 5

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
9.7b	(/ (pow x 2) y)
10.0b	(/ (pow z 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 x 2) y)
5.0ms	(/ (pow z 2) y)

series78.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
18.0ms	(/ (pow x 2) y)
18.0ms	(/ (pow z 2) y)

simplify44.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (34.0ms)

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

prune255.0ms

Filtered

130 candidates to 82 candidates (63.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	124	6	130
Fresh	3	1	4
Picked	1	0	1
Done	0	0	0
Total	128	7	135

Merged error: 1.0b

Counts

135 → 7

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ y (/ (pow x 2) y)) (* z (/ z y)))
0.2b	(* z (/ z y))
9.7b	(/ (pow x 2) y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 97

Calls

3 calls:

11.0ms	(- (+ y (/ (pow x 2) y)) (* z (/ z y)))
6.0ms	(* z (/ z y))
5.0ms	(/ (pow x 2) y)

series78.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- (+ y (/ (pow x 2) y)) (* z (/ z y)))
18.0ms	(* z (/ z y))
18.0ms	(/ (pow x 2) y)

simplify51.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	418	566
1	1789	512
2	5001	509

prune190.0ms

Filtered

106 candidates to 69 candidates (65.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	103	3	106
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	106	7	113

Merged error: 0b

Counts

113 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

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

series77.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- (+ y (* x (/ x y))) (* z (/ z y)))
18.0ms	(* z (/ z y))
21.0ms	(* x (/ x y))

simplify55.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	429	458
1	2102	413
2	5001	413

prune131.0ms

Filtered

89 candidates to 58 candidates (65.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	89	7	96

Merged error: 0b

Counts

96 → 7

regimes109.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample746.0ms

Algorithm

intervals

Results

467.0ms

13756×

body

valid