Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

296×

body

valid

simplify111.0ms

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

prune1.0ms

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)

rewrite41.0ms

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:

32.0ms	(+ (+ (* x y) x) y)
8.0ms	(+ (* x y) x)

series43.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+ (+ (* x y) x) y)
30.0ms	(+ (* 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

prune52.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
0.5b	(cbrt (+ (* x y) x))
0.5b	(cbrt (+ (* x y) x))
0.5b	(cbrt (+ (* x y) x))

rewrite268.0ms

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:

248.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
5.0ms	(cbrt (+ (* x y) x))
6.0ms	(cbrt (+ (* x y) x))
6.0ms	(cbrt (+ (* x y) x))

series248.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
57.0ms	(cbrt (+ (* x y) x))
60.0ms	(cbrt (+ (* x y) x))
60.0ms	(cbrt (+ (* x y) x))

simplify43.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	346	1018
1	1249	963
2	5001	888

prune252.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`cbrt-prod`
9×	`flip3-+` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 59

Calls

4 calls:

5.0ms	(cbrt (+ (* x y) x))
5.0ms	(cbrt (+ (* x y) x))
6.0ms	(cbrt (cbrt (+ (* x y) x)))
19.0ms	(cbrt (* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x))))

series248.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(cbrt (+ (* x y) x))
62.0ms	(cbrt (+ (* x y) x))
59.0ms	(cbrt (cbrt (+ (* x y) x)))
69.0ms	(cbrt (* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x))))

simplify109.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	404	865
1	1149	821
2	4357	735
3	5001	735

prune274.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (+ (* x y) x) 3)
2.4b	(+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y))
4.2b	(+ (pow (+ (* x y) x) 3) (pow y 3))
39.2b	(/ (+ (pow (+ (* x y) x) 3) (pow y 3)) (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))

rewrite416.0ms

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:

12.0ms	(pow (+ (* x y) x) 3)
52.0ms	(+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y))
106.0ms	(+ (pow (+ (* x y) x) 3) (pow y 3))
243.0ms	(/ (+ (pow (+ (* x y) x) 3) (pow y 3)) (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))

series276.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(pow (+ (* x y) x) 3)
40.0ms	(+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y))
83.0ms	(+ (pow (+ (* x y) x) 3) (pow y 3))
125.0ms	(/ (+ (pow (+ (* x y) x) 3) (pow y 3)) (+ (* (+ (* x y) x) (- (+ (* x y) x) y)) (* y y)))

simplify85.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (65.0ms)

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

prune279.0ms

Pruning

4 alts after pruning (0 fresh and 4 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

sample343.0ms

Algorithm

intervals

Results

148.0ms	9256×	body	80	valid
0.0ms	2×	body	640	valid