Details

sample26.0ms

Algorithm

intervals

Results

13.0ms

428×

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.6b

localize9.0ms

Local error

Found 2 expressions with local error:

3.5b	(- (+ (* x x) (* y y)) (* z z))
25.9b	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite51.0ms

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:

20.0ms	(- (+ (* x x) (* y y)) (* z z))
31.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series123.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- (+ (* x x) (* y y)) (* z z))
83.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify33.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (27.0ms)

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

prune122.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 10.4b

localize10.0ms

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))
8.9b	(/ (pow z 2) y)
11.4b	(/ (pow x 2) y)

rewrite148.0ms

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:

120.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
12.0ms	(+ y (/ (pow x 2) y))
4.0ms	(/ (pow z 2) y)
7.0ms	(/ (pow x 2) y)

series110.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
32.0ms	(+ y (/ (pow x 2) y))
18.0ms	(/ (pow z 2) y)
20.0ms	(/ (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

prune337.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ x (/ y x)))
0.0b	(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
0.2b	(/ x (/ y x))
8.9b	(/ (pow z 2) y)

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 154

Calls

4 calls:

16.0ms	(+ y (/ x (/ y x)))
169.0ms	(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
5.0ms	(/ x (/ y x))
4.0ms	(/ (pow z 2) y)

series113.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ y (/ x (/ y x)))
46.0ms	(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
20.0ms	(/ x (/ y x))
20.0ms	(/ (pow z 2) y)

simplify73.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	605	1049
1	2708	969
2	5001	963

prune399.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 130

Calls

4 calls:

17.0ms	(+ y (/ x (/ y x)))
161.0ms	(- (+ y (/ x (/ y x))) (* z (/ z y)))
7.0ms	(* z (/ z y))
5.0ms	(/ x (/ y x))

series111.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ y (/ x (/ y x)))
44.0ms	(- (+ y (/ x (/ y x))) (* z (/ z y)))
19.0ms	(* z (/ z y))
20.0ms	(/ x (/ y x))

simplify80.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	599	849
1	2991	786
2	5002	779

prune316.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes91.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	8
1	18	8

end0.0ms

sample704.0ms

Algorithm

intervals

Results

436.0ms

13521×

body

valid