Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

299×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	22	4
3	22	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (/ x 2.0) (* y x)) z)
0.0b	(+ (/ x 2.0) (* y x))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

38.0ms	(+ (+ (/ x 2.0) (* y x)) z)
8.0ms	(+ (/ x 2.0) (* y x))

series70.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (+ (/ x 2.0) (* y x)) z)
42.0ms	(+ (/ x 2.0) (* y x))

simplify51.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	163	180
1	542	168
2	1917	162
3	5001	160

prune58.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x (+ y 0.5)) z)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`associate-+l+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

5.0ms

(+ (* x (+ y 0.5)) z)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(+ (* x (+ y 0.5)) z)

simplify45.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	98	85
1	310	75
2	1699	73
3	5001	73

prune28.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (/ x 2.0) (* y x)) z)) (cbrt (+ (+ (/ x 2.0) (* y x)) z)))
0.6b	(cbrt (+ (+ (/ x 2.0) (* y x)) z))
0.6b	(cbrt (+ (+ (/ x 2.0) (* y x)) z))
0.6b	(cbrt (+ (+ (/ x 2.0) (* y x)) z))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

178.0ms	(* (cbrt (+ (+ (/ x 2.0) (* y x)) z)) (cbrt (+ (+ (/ x 2.0) (* y x)) z)))
24.0ms	(cbrt (+ (+ (/ x 2.0) (* y x)) z))
21.0ms	(cbrt (+ (+ (/ x 2.0) (* y x)) z))
22.0ms	(cbrt (+ (+ (/ x 2.0) (* y x)) z))

series602.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(* (cbrt (+ (+ (/ x 2.0) (* y x)) z)) (cbrt (+ (+ (/ x 2.0) (* y x)) z)))
121.0ms	(cbrt (+ (+ (/ x 2.0) (* y x)) z))
121.0ms	(cbrt (+ (+ (/ x 2.0) (* y x)) z))
123.0ms	(cbrt (+ (+ (/ x 2.0) (* y x)) z))

simplify54.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	385	1491
1	1367	1408
2	5002	1277

prune272.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ (/ x 2.0) (* y x)) z))
0.6b	(cbrt (- (+ (/ x 2.0) (* y x)) z))
2.6b	(- (* (+ (/ x 2.0) (* y x)) (+ (/ x 2.0) (* y x))) (* z z))
30.9b	(cbrt (- (* (+ (/ x 2.0) (* y x)) (+ (/ x 2.0) (* y x))) (* z z)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
11×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--` `difference-of-squares`
2×	`associate--l+`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `diff-log` `flip-+` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 58

Calls

4 calls:

25.0ms	(cbrt (+ (+ (/ x 2.0) (* y x)) z))
22.0ms	(cbrt (- (+ (/ x 2.0) (* y x)) z))
17.0ms	(- (* (+ (/ x 2.0) (* y x)) (+ (/ x 2.0) (* y x))) (* z z))
18.0ms	(cbrt (- (* (+ (/ x 2.0) (* y x)) (+ (/ x 2.0) (* y x))) (* z z)))

series566.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (+ (+ (/ x 2.0) (* y x)) z))
149.0ms	(cbrt (- (+ (/ x 2.0) (* y x)) z))
103.0ms	(- (* (+ (/ x 2.0) (* y x)) (+ (/ x 2.0) (* y x))) (* z z))
187.0ms	(cbrt (- (* (+ (/ x 2.0) (* y x)) (+ (/ x 2.0) (* y x))) (* z z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	499	999
1	1516	921
2	5002	890

prune324.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes66.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

end0.0ms

sample415.0ms

Algorithm

intervals

Results

222.0ms	9179×	body	80	valid
0.0ms	2×	body	1280	valid