Details

sample30.0ms

Algorithm

intervals

Results

18.0ms

310×

body

valid

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (42.0ms)

Iter	Nodes	Cost
0	22	6
1	46	6
2	111	6
3	237	6
4	405	6
5	595	6
6	919	6
7	2627	5
8	5001	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.25 (/ (- x z) y))
0.0b	(/ (- x z) y)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 51

Calls

2 calls:

12.0ms	(+ 0.25 (/ (- x z) y))
7.0ms	(/ (- x z) y)

series44.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+ 0.25 (/ (- x z) y))
28.0ms	(/ (- x z) y)

simplify63.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	225	276
1	650	261
2	2623	261
3	5002	261

prune133.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.25 (/ x y))
0.0b	(- (+ 0.25 (/ x y)) (/ z y))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
7×	`add-sqr-sqrt`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3-+` `diff-log` `sum-log` `frac-sub` `add-cbrt-cube` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `times-frac` `associate--l+` `flip--`

Counts

2 → 32

Calls

2 calls:

6.0ms	(+ 0.25 (/ x y))
57.0ms	(- (+ 0.25 (/ x y)) (/ z y))

series28.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+ 0.25 (/ x y))
16.0ms	(- (+ 0.25 (/ x y)) (/ z y))

simplify55.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	170	232
1	542	222
2	2011	218
3	5002	218

prune92.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

2.8b	(* (+ (pow 0.25 3) (pow (/ x y) 3)) y)
3.2b	(+ (* (- z) (+ (* (/ x y) (- (/ x y) 0.25)) (* 0.25 0.25))) (* (+ (pow 0.25 3) (pow (/ x y) 3)) y))
4.1b	(* (- z) (+ (* (/ x y) (- (/ x y) 0.25)) (* 0.25 0.25)))
14.6b	(/ (+ (* (- z) (+ (* (/ x y) (- (/ x y) 0.25)) (* 0.25 0.25))) (* (+ (pow 0.25 3) (pow (/ x y) 3)) y)) (* y (+ (* (/ x y) (- (/ x y) 0.25)) (* 0.25 0.25))))

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
19×	`associate-l`
16×	`add-sqr-sqrt`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
12×	`add-cube-cbrt` `associate-*r/`
10×	`associate-*l/`
8×	`pow1` `frac-add`
6×	`associate-r` `associate-/l/` `add-log-exp`
5×	`distribute-lft-out`
4×	`unpow-prod-down` `cube-prod`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `times-frac` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`+-commutative` `distribute-lft-neg-out` `neg-mul-1` `frac-2neg` `clear-num` `associate-/r*` `sum-log` `sum-cubes` `div-inv`

Counts

4 → 102

Calls

4 calls:

113.0ms	(* (+ (pow 0.25 3) (pow (/ x y) 3)) y)
22.0ms	(+ (* (- z) (+ (* (/ x y) (- (/ x y) 0.25)) (* 0.25 0.25))) (* (+ (pow 0.25 3) (pow (/ x y) 3)) y))
49.0ms	(* (- z) (+ (* (/ x y) (- (/ x y) 0.25)) (* 0.25 0.25)))
75.0ms	(/ (+ (* (- z) (+ (* (/ x y) (- (/ x y) 0.25)) (* 0.25 0.25))) (* (+ (pow 0.25 3) (pow (/ x y) 3)) y)) (* y (+ (* (/ x y) (- (/ x y) 0.25)) (* 0.25 0.25))))

series469.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (+ (pow 0.25 3) (pow (/ x y) 3)) y)
165.0ms	(+ (* (- z) (+ (* (/ x y) (- (/ x y) 0.25)) (* 0.25 0.25))) (* (+ (pow 0.25 3) (pow (/ x y) 3)) y))
71.0ms	(* (- z) (+ (* (/ x y) (- (/ x y) 0.25)) (* 0.25 0.25)))
146.0ms	(/ (+ (* (- z) (+ (* (/ x y) (- (/ x y) 0.25)) (* 0.25 0.25))) (* (+ (pow 0.25 3) (pow (/ x y) 3)) y)) (* y (+ (* (/ x y) (- (/ x y) 0.25)) (* 0.25 0.25))))

simplify129.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (110.0ms)

Iter	Nodes	Cost
0	722	1964
1	3912	1769
2	5001	1767

prune486.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample820.0ms

Algorithm

intervals

Results

602.0ms

10127×

body

valid