Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

292×

body

valid

simplify115.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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)

series49.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (+ (* x y) x) y)
35.0ms	(+ (* x y) x)

simplify52.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (49.0ms)

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

prune54.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) x)
0.0b	(sqrt (+ (* x y) x))
0.0b	(sqrt (+ (* x y) x))
0.2b	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

3.0ms	(+ (* x y) x)
4.0ms	(sqrt (+ (* x y) x))
4.0ms	(sqrt (+ (* x y) x))
24.0ms	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* x y) x)
46.0ms	(sqrt (+ (* x y) x))
41.0ms	(sqrt (+ (* x y) x))
34.0ms	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

simplify206.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	218	606
1	822	544
2	4811	524
3	5002	524

prune198.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (fabs (cbrt (+ (* x y) x))) (sqrt (+ (* x y) x))) (sqrt (cbrt (+ (* x y) x))))
0.2b	(* (fabs (cbrt (+ (* x y) x))) (sqrt (+ (* x y) x)))
0.6b	(cbrt (+ (* x y) x))
0.6b	(cbrt (+ (* x y) x))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`associate-r`
14×	`sqrt-div`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`cbrt-div` `associate-*r/` `sqrt-prod`
9×	`cbrt-prod` `flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`pow1/3` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

31.0ms	(* (* (fabs (cbrt (+ (* x y) x))) (sqrt (+ (* x y) x))) (sqrt (cbrt (+ (* x y) x))))
13.0ms	(* (fabs (cbrt (+ (* x y) x))) (sqrt (+ (* x y) x)))
3.0ms	(cbrt (+ (* x y) x))
3.0ms	(cbrt (+ (* x y) x))

series275.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (* (fabs (cbrt (+ (* x y) x))) (sqrt (+ (* x y) x))) (sqrt (cbrt (+ (* x y) x))))
46.0ms	(* (fabs (cbrt (+ (* x y) x))) (sqrt (+ (* x y) x)))
69.0ms	(cbrt (+ (* x y) x))
67.0ms	(cbrt (+ (* x y) x))

simplify64.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	562	1328
1	2263	1218
2	5002	1178

prune348.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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:

3.0ms	(cbrt (+ (* x y) x))
3.0ms	(cbrt (+ (* x y) x))
9.0ms	(cbrt (* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x))))
3.0ms	(cbrt (cbrt (+ (* x y) x)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(cbrt (+ (* x y) x))
61.0ms	(cbrt (+ (* x y) x))
80.0ms	(cbrt (* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x))))
68.0ms	(cbrt (cbrt (+ (* x y) x)))

simplify109.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (28.0ms)

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

prune574.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes53.0ms

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

sample288.0ms

Algorithm

intervals

Results

154.0ms	9140×	body	80	valid
0.0ms	1×	body	1280	valid