Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

317×

body

valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	5
1	47	5
2	138	5
3	317	5
4	611	5
5	1239	5
6	1919	5
7	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (* 4.0 (- (- x y) (* z 0.5))) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `associate-/l/`
1×	`pow1` `flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

10.0ms

(/ (* 4.0 (- (- x y) (* z 0.5))) z)

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(/ (* 4.0 (- (- x y) (* z 0.5))) z)

simplify95.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	187	192
1	790	156
2	4301	156
3	5001	156

prune54.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 4.0 (/ (- x y) z)) (- 2.0))
0.0b	(/ (- x y) z)
0.0b	(* 4.0 (/ (- x y) z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
5×	`pow1` `associate-/l*`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `sum-log` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `neg-sub0` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `unsub-neg` `pow-prod-down` `neg-log` `clear-num` `-commutative` `flip--` `flip-+`

Counts

3 → 91

Calls

3 calls:

8.0ms	(+ (* 4.0 (/ (- x y) z)) (- 2.0))
6.0ms	(/ (- x y) z)
12.0ms	(* 4.0 (/ (- x y) z))

series97.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (* 4.0 (/ (- x y) z)) (- 2.0))
29.0ms	(/ (- x y) z)
39.0ms	(* 4.0 (/ (- x y) z))

simplify48.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	363	514
1	1659	474
2	5001	471

prune190.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (/ (- x y) z))
0.3b	(* (* 4.0 (/ (- x y) z)) (* 4.0 (/ (- x y) z)))
0.3b	(pow (* 4.0 (/ (- x y) z)) 3)
22.1b	(/ (- (pow (* 4.0 (/ (- x y) z)) 3) (pow 2.0 3)) (+ (+ (* (* 4.0 (/ (- x y) z)) (* 4.0 (/ (- x y) z))) (* 2.0 2.0)) (* (* 4.0 (/ (- x y) z)) 2.0)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-sqr-sqrt`
55×	`times-frac`
53×	`add-exp-log` `add-cbrt-cube`
48×	`pow1`
47×	`*-un-lft-identity`
35×	`difference-of-squares`
33×	`add-cube-cbrt`
25×	`prod-exp` `cbrt-unprod` `sqr-pow`
20×	`associate-r`
19×	`pow-prod-down`
13×	`associate-/l*`
9×	`cbrt-undiv` `unpow-prod-down` `cube-prod` `associate-*r/` `div-exp`
7×	`distribute-lft-out--`
4×	`difference-cubes` `associate-l` `associate-/r/` `pow-sqr` `pow-prod-up` `add-log-exp`
3×	`pow-unpow` `associate-l/` `pow-exp` `associate-/r` `rem-cube-cbrt`
2×	`pow-pow` `flip3-+` `pow-plus` `frac-add` `*-commutative` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`cube-div` `pow2` `cube-mult` `frac-times` `pow-to-exp` `flip3--` `frac-2neg` `unpow3` `div-sub` `swap-sqr` `clear-num` `flip--`

Counts

4 → 184

Calls

4 calls:

9.0ms	(* 4.0 (/ (- x y) z))
17.0ms	(* (* 4.0 (/ (- x y) z)) (* 4.0 (/ (- x y) z)))
7.0ms	(pow (* 4.0 (/ (- x y) z)) 3)
28.0ms	(/ (- (pow (* 4.0 (/ (- x y) z)) 3) (pow 2.0 3)) (+ (+ (* (* 4.0 (/ (- x y) z)) (* 4.0 (/ (- x y) z))) (* 2.0 2.0)) (* (* 4.0 (/ (- x y) z)) 2.0)))

series283.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* 4.0 (/ (- x y) z))
35.0ms	(* (* 4.0 (/ (- x y) z)) (* 4.0 (/ (- x y) z)))
52.0ms	(pow (* 4.0 (/ (- x y) z)) 3)
154.0ms	(/ (- (pow (* 4.0 (/ (- x y) z)) 3) (pow 2.0 3)) (+ (+ (* (* 4.0 (/ (- x y) z)) (* 4.0 (/ (- x y) z))) (* 2.0 2.0)) (* (* 4.0 (/ (- x y) z)) 2.0)))

simplify161.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	891	3376
1	4732	3104
2	5002	3104

prune535.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes61.0ms

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	12	5
1	12	5

end0.0ms

sample478.0ms

Algorithm

intervals

Results

282.0ms

10118×

body

valid