Details

sample12.0ms

Algorithm

intervals

Results

4.0ms

294×

body

valid

simplify109.0ms

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)

rewrite39.0ms

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:

31.0ms	(+ (+ (* x y) x) y)
7.0ms	(+ (* x y) x)

series41.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+ (+ (* x y) x) y)
28.0ms	(+ (* x y) x)

simplify49.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (46.0ms)

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

prune45.0ms

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

rewrite67.0ms

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:

48.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
5.0ms	(cbrt (+ (* x y) x))
5.0ms	(cbrt (+ (* x y) x))
5.0ms	(cbrt (+ (* x y) x))

series250.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
57.0ms	(cbrt (+ (* x y) x))
62.0ms	(cbrt (+ (* x y) x))
60.0ms	(cbrt (+ (* x y) x))

simplify46.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (36.0ms)

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

prune247.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
10×	`cbrt-prod`
9×	`flip3-+` `flip-+`
7×	`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 → 56

Calls

4 calls:

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

series240.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(cbrt (+ (* x y) x))
55.0ms	(cbrt (+ (* x y) x))
58.0ms	(cbrt (+ (* x y) x))
70.0ms	(cbrt (* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x))))

simplify88.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	314	815
1	875	773
2	3396	671
3	5001	671

prune246.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes43.0ms

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

sample325.0ms

Algorithm

intervals

Results

144.0ms

9115×

body

valid