Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

294×

body

valid

simplify112.0ms

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

rewrite10.0ms

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:

4.0ms	(+ (* x y) x)
6.0ms	(+ (+ (* x y) x) y)

series48.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* x y) x)
15.0ms	(+ (+ (* x y) x) y)

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	5002	126

prune50.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (+ (* x y) x) 3)
1.4b	(+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y))
3.7b	(+ (pow (+ (* x y) x) 3) (pow y 3))
38.4b	(/ (+ (pow (+ (* x y) x) 3) (pow y 3)) (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))

rewrite61.0ms

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)
12.0ms	(+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y))
14.0ms	(+ (pow (+ (* x y) x) 3) (pow y 3))
27.0ms	(/ (+ (pow (+ (* x y) x) 3) (pow y 3)) (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))

series318.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(pow (+ (* x y) x) 3)
50.0ms	(+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y))
95.0ms	(+ (pow (+ (* x y) x) 3) (pow y 3))
143.0ms	(/ (+ (pow (+ (* x y) x) 3) (pow y 3)) (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))

simplify80.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (64.0ms)

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

prune291.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

14.0b	(/ (/ (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (pow y 2)) (cbrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))) (cbrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y))))
27.8b	(cbrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))
27.8b	(cbrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))
27.8b	(cbrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

270×	`times-frac`
148×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
147×	`cbrt-prod`
24×	`associate-/l*`
22×	`cbrt-div`
16×	`associate-/r/`
11×	`flip3-+` `flip-+`
9×	`add-exp-log`
8×	`div-inv`
6×	`associate-/r*` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 230

Calls

4 calls:

46.0ms	(/ (/ (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (pow y 2)) (cbrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))) (cbrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y))))
12.0ms	(cbrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))
12.0ms	(cbrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))
12.0ms	(cbrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))

series632.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(/ (/ (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (pow y 2)) (cbrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))) (cbrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y))))
115.0ms	(cbrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))
113.0ms	(cbrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))
291.0ms	(cbrt (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))

simplify142.0ms

Algorithm

egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	869	11197
1	3545	10390
2	5001	10191

prune737.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

3.7b	(+ (pow (+ (* x y) x) 3) (pow y 3))
38.4b	(/ (+ (pow (+ (* x y) x) 3) (pow y 3)) (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))
38.4b	(/ (+ (pow (+ (* x y) x) 3) (pow y 3)) (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))
38.4b	(/ (+ (pow (+ (* x y) x) 3) (pow y 3)) (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

176×	`*-un-lft-identity`
81×	`times-frac`
65×	`distribute-lft-out`
52×	`unpow-prod-down` `cube-prod`
46×	`add-sqr-sqrt` `add-cube-cbrt`
27×	`associate-/l*`
13×	`sum-cubes`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r*`
7×	`flip3-+` `flip-+`
6×	`associate-/r/` `associate-/l/` `add-log-exp`
4×	`pow1`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sum-log`

Counts

4 → 182

Calls

4 calls:

14.0ms	(+ (pow (+ (* x y) x) 3) (pow y 3))
44.0ms	(/ (+ (pow (+ (* x y) x) 3) (pow y 3)) (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))
28.0ms	(/ (+ (pow (+ (* x y) x) 3) (pow y 3)) (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))
28.0ms	(/ (+ (pow (+ (* x y) x) 3) (pow y 3)) (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))

series510.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(+ (pow (+ (* x y) x) 3) (pow y 3))
138.0ms	(/ (+ (pow (+ (* x y) x) 3) (pow y 3)) (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))
137.0ms	(/ (+ (pow (+ (* x y) x) 3) (pow y 3)) (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))
142.0ms	(/ (+ (pow (+ (* x y) x) 3) (pow y 3)) (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	307	3929
1	1410	3740
2	5001	3726

prune524.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes54.0ms

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

sample312.0ms

Algorithm

intervals

Results

168.0ms	9161×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid