Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

289×

body

valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	20	3
2	28	3
3	36	3
4	54	3
5	101	3
6	150	3
7	167	3
8	242	3
9	468	3
10	1547	3
11	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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:

15.0ms	(+ (+ (* x y) x) y)
3.0ms	(+ (* x y) x)

series45.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (+ (* x y) x) y)
31.0ms	(+ (* x y) x)

simplify50.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	143	138
1	451	129
2	1660	127
3	5001	126

prune48.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (+ (* x y) x) 3)
1.4b	(+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y))
3.9b	(+ (pow (+ (* x y) x) 3) (pow y 3))
39.3b	(/ (+ (pow (+ (* x y) x) 3) (pow y 3)) (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

71×	`*-un-lft-identity`
27×	`times-frac`
25×	`distribute-lft-out`
23×	`unpow-prod-down` `cube-prod`
21×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`associate-/l*`
8×	`add-log-exp`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+l+`
5×	`pow1` `flip3-+` `sum-cubes` `flip-+`
3×	`distribute-rgt-in` `pow-unpow` `distribute-lft-in` `associate-/r*`
2×	`+-commutative` `cube-div` `sub-neg` `associate--l+` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `unpow3` `div-exp` `pow-exp` `clear-num` `div-inv` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 114

Calls

4 calls:

5.0ms	(pow (+ (* x y) x) 3)
21.0ms	(+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y))
39.0ms	(+ (pow (+ (* x y) x) 3) (pow y 3))
123.0ms	(/ (+ (pow (+ (* x y) x) 3) (pow y 3)) (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(pow (+ (* x y) x) 3)
45.0ms	(+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y))
93.0ms	(+ (pow (+ (* x y) x) 3) (pow y 3))
145.0ms	(/ (+ (pow (+ (* x y) x) 3) (pow y 3)) (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))

simplify84.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	490	1781
1	2351	1665
2	5002	1657

prune268.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (pow y 2))
27.4b	(sqrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))
27.4b	(sqrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))
27.4b	(/ (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (pow y 2)) (sqrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y))))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-exp-log` `associate-+l+` `sqrt-div` `associate-/r*` `add-cbrt-cube` `add-log-exp`
5×	`flip3-+` `flip-+`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-/l*`
2×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate--l+` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 90

Calls

4 calls:

23.0ms	(+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (pow y 2))
28.0ms	(sqrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))
29.0ms	(sqrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))
86.0ms	(/ (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (pow y 2)) (sqrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y))))

series312.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (pow y 2))
87.0ms	(sqrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))
86.0ms	(sqrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))
89.0ms	(/ (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (pow y 2)) (sqrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y))))

simplify48.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	324	1943
1	1202	1624
2	5002	1605

prune298.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

5.4b	(+ (* (* x y) (+ (* x y) x)) (+ (* (- x y) (+ (* x y) x)) (pow y 2)))
27.4b	(sqrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))
27.4b	(sqrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))
27.4b	(/ (+ (* (* x y) (+ (* x y) x)) (+ (* (- x y) (+ (* x y) x)) (pow y 2))) (sqrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y))))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `sqrt-prod`
13×	`flip3-+` `flip-+`
9×	`add-log-exp`
8×	`associate-*r/` `frac-add`
6×	`pow1` `add-exp-log` `sqrt-div` `associate-/r*` `add-cbrt-cube` `associate-/l/`
3×	`sum-log` `associate-/l*`
2×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `associate-+r+` `frac-2neg` `distribute-lft-in` `div-exp` `clear-num` `div-inv`

Counts

4 → 96

Calls

4 calls:

34.0ms	(+ (* (* x y) (+ (* x y) x)) (+ (* (- x y) (+ (* x y) x)) (pow y 2)))
30.0ms	(sqrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))
28.0ms	(sqrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))
129.0ms	(/ (+ (* (* x y) (+ (* x y) x)) (+ (* (- x y) (+ (* x y) x)) (pow y 2))) (sqrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y))))

series321.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (* (* x y) (+ (* x y) x)) (+ (* (- x y) (+ (* x y) x)) (pow y 2)))
89.0ms	(sqrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))
86.0ms	(sqrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))
99.0ms	(/ (+ (* (* x y) (+ (* x y) x)) (+ (* (- x y) (+ (* x y) x)) (pow y 2))) (sqrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y))))

simplify95.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	542	2480
1	2865	1986
2	5002	1958

prune367.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes41.0ms

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	8	3
1	8	3

end0.0ms

sample293.0ms

Algorithm

intervals

Results

156.0ms	9124×	body	80	valid
0.0ms	1×	body	1280	valid