Details

sample27.0ms

Algorithm

intervals

Results

15.0ms

446×

body

valid

simplify51.0ms

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: 29.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
5.0b	(- (+ (* x x) (* y y)) (* z z))
27.4b	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite50.0ms

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:

2.0ms	(+ (* x x) (* y y))
18.0ms	(- (+ (* x x) (* y y)) (* z z))
29.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series147.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (* x x) (* y y))
43.0ms	(- (+ (* x x) (* y y)) (* z z))
77.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify38.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (32.0ms)

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

prune148.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 11.6b

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))
10.6b	(/ (pow z 2) y)
11.8b	(/ (pow x 2) y)

rewrite134.0ms

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:

110.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
10.0ms	(+ y (/ (pow x 2) y))
4.0ms	(/ (pow z 2) y)
6.0ms	(/ (pow x 2) y)

series121.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
37.0ms	(+ y (/ (pow x 2) y))
27.0ms	(/ (pow z 2) y)
19.0ms	(/ (pow x 2) y)

simplify50.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (37.0ms)

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

prune337.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.9b

localize13.0ms

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))
10.6b	(/ (pow z 2) y)

rewrite191.0ms

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:

15.0ms	(+ y (/ x (/ y x)))
161.0ms	(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
4.0ms	(/ x (/ y x))
4.0ms	(/ (pow z 2) y)

series105.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ y (/ x (/ y x)))
41.0ms	(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
18.0ms	(/ x (/ y x))
20.0ms	(/ (pow z 2) y)

simplify75.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (62.0ms)

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

prune391.0ms

Pruning

5 alts after pruning (5 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))

rewrite176.0ms

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:

15.0ms	(+ y (/ x (/ y x)))
146.0ms	(- (+ y (/ x (/ y x))) (* z (/ z y)))
7.0ms	(* z (/ z y))
4.0ms	(/ x (/ y x))

series103.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ y (/ x (/ y x)))
40.0ms	(- (+ y (/ x (/ y x))) (* z (/ z y)))
18.0ms	(* z (/ z y))
18.0ms	(/ x (/ y x))

simplify73.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (64.0ms)

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

prune288.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample752.0ms

Algorithm

intervals

Results

470.0ms

13676×

body

valid