Details

sample23.0ms

Algorithm

intervals

Results

11.0ms	237×	body	80	valid
2.0ms	7×	body	1280	valid
1.0ms	4×	body	640	valid
1.0ms	4×	body	320	valid
0.0ms	4×	body	160	valid

simplify298.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	5
1	64	4
2	203	4
3	327	4
4	339	4
5	345	4
6	413	4
7	516	4
8	561	4
9	700	4
10	909	4
11	1271	4
12	3921	4
13	5001	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ x y) y) x)
0.0b	(+ (+ x y) y)
0.0b	(+ (+ (+ (+ (+ x y) y) x) z) x)

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity` `add-log-exp`
24×	`sum-log` `distribute-lft-out`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

3 → 53

Calls

3 calls:

58.0ms	(+ (+ (+ x y) y) x)
15.0ms	(+ (+ x y) y)
1000.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)

series82.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (+ (+ x y) y) x)
24.0ms	(+ (+ x y) y)
26.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)

simplify33.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	249	320
1	929	288
2	5001	270

prune107.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 3 x) (+ z (* 2 y)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

6.0ms

(+ (* 3 x) (+ z (* 2 y)))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(+ (* 3 x) (+ z (* 2 y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	111	103
1	430	94
2	2103	94
3	5001	94

prune36.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite378.0ms

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity`
78×	`distribute-lft-out`
70×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`swap-sqr`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `associate-r` `associate-l` `flip-+`
6×	`add-exp-log`
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 → 117

Calls

4 calls:

271.0ms	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
32.0ms	(cbrt (+ (+ (+ x y) y) x))
36.0ms	(cbrt (+ (+ (+ x y) y) x))
33.0ms	(cbrt (+ (+ (+ x y) y) x))

series921.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
225.0ms	(cbrt (+ (+ (+ x y) y) x))
218.0ms	(cbrt (+ (+ (+ x y) y) x))
221.0ms	(cbrt (+ (+ (+ x y) y) x))

simplify49.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	304	1356
1	1020	1291
2	5002	1100

prune481.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* (cbrt (* 4 (* (+ x y) (+ x y)))) (cbrt (+ (+ (+ x y) y) x))) z) x)
0.3b	(* (cbrt (* 4 (* (+ x y) (+ x y)))) (cbrt (+ (+ (+ x y) y) x)))
0.6b	(cbrt (+ (+ (+ x y) y) x))
30.6b	(cbrt (* 4 (* (+ x y) (+ x y))))

rewrite458.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-div`
42×	`associate-*r/`
35×	`flip3-+` `flip-+`
32×	`frac-times`
28×	`*-un-lft-identity`
16×	`associate-*l/`
15×	`cbrt-prod`
13×	`distribute-lft-out`
12×	`add-sqr-sqrt`
9×	`associate-r` `add-log-exp`
8×	`add-cube-cbrt`
6×	`pow1` `add-exp-log`
4×	`pow1/3` `associate-l` `add-cbrt-cube`
3×	`sum-log`
2×	`pow-prod-down` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

253.0ms	(+ (+ (* (cbrt (* 4 (* (+ x y) (+ x y)))) (cbrt (+ (+ (+ x y) y) x))) z) x)
149.0ms	(* (cbrt (* 4 (* (+ x y) (+ x y)))) (cbrt (+ (+ (+ x y) y) x)))
35.0ms	(cbrt (+ (+ (+ x y) y) x))
16.0ms	(cbrt (* 4 (* (+ x y) (+ x y))))

series767.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(+ (+ (* (cbrt (* 4 (* (+ x y) (+ x y)))) (cbrt (+ (+ (+ x y) y) x))) z) x)
215.0ms	(* (cbrt (* 4 (* (+ x y) (+ x y)))) (cbrt (+ (+ (+ x y) y) x)))
214.0ms	(cbrt (+ (+ (+ x y) y) x))
177.0ms	(cbrt (* 4 (* (+ x y) (+ x y))))

simplify67.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	624	1637
1	2122	1567
2	5001	1557

prune350.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes68.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample641.0ms

Algorithm

intervals

Results

359.0ms	7383×	body	80	valid
42.0ms	179×	body	1280	valid
33.0ms	184×	body	640	valid
18.0ms	133×	body	320	valid
12.0ms	37×	body	2560	valid
8.0ms	89×	body	160	valid