Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

291×

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

6.0ms	(+ (/ x 2.0) (* y x))
8.0ms	(+ (+ (/ x 2.0) (* y x)) z)

series71.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (/ x 2.0) (* y x))
32.0ms	(+ (+ (/ x 2.0) (* y x)) z)

simplify49.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (46.0ms)

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

prune61.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

9.0ms	(+ (* x (+ y 0.5)) z)
6.0ms	(* x (+ y 0.5))

series61.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (* x (+ y 0.5)) z)
32.0ms	(* x (+ y 0.5))

simplify88.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	195	166
1	755	151
2	3673	149
3	5002	149

prune76.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

15.0ms	(* (cbrt (+ (/ x 2.0) (* y x))) (cbrt (+ (/ x 2.0) (* y x))))
6.0ms	(cbrt (+ (/ x 2.0) (* y x)))
6.0ms	(cbrt (+ (/ x 2.0) (* y x)))
6.0ms	(cbrt (+ (/ x 2.0) (* y x)))

series541.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (+ (/ x 2.0) (* y x))) (cbrt (+ (/ x 2.0) (* y x))))
136.0ms	(cbrt (+ (/ x 2.0) (* y x)))
122.0ms	(cbrt (+ (/ x 2.0) (* y x)))
127.0ms	(cbrt (+ (/ x 2.0) (* y x)))

simplify54.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	410	1303
1	1335	1228
2	5001	1098

prune297.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ y 0.5))
0.0b	(sqrt (+ y 0.5))
0.3b	(* x (sqrt (+ y 0.5)))
0.4b	(* (* x (sqrt (+ y 0.5))) (sqrt (+ y 0.5)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`sqrt-div`
17×	`add-sqr-sqrt` `sqrt-prod`
14×	`associate-r`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

3.0ms	(sqrt (+ y 0.5))
3.0ms	(sqrt (+ y 0.5))
7.0ms	(* x (sqrt (+ y 0.5)))
12.0ms	(* (* x (sqrt (+ y 0.5))) (sqrt (+ y 0.5)))

series172.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sqrt (+ y 0.5))
38.0ms	(sqrt (+ y 0.5))
61.0ms	(* x (sqrt (+ y 0.5)))
40.0ms	(* (* x (sqrt (+ y 0.5))) (sqrt (+ y 0.5)))

simplify41.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	326	583
1	1369	506
2	5001	488

prune207.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes63.0ms

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

sample438.0ms

Algorithm

intervals

Results

246.0ms	9179×	body	80	valid
0.0ms	1×	body	640	valid