Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	235×	body	80	valid
0.0ms	7×	body	640	valid
0.0ms	5×	body	1280	valid
0.0ms	5×	body	320	valid
0.0ms	4×	body	160	valid

simplify308.0ms

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

prune5.0ms

Pruning

2 alts after pruning (2 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)

rewrite2.0s

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:

110.0ms	(+ (+ (+ x y) y) x)
26.0ms	(+ (+ x y) y)
1.8s	(+ (+ (+ (+ (+ x y) y) x) z) x)

series80.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (+ (+ x y) y) x)
24.0ms	(+ (+ x y) y)
25.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)

simplify31.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (26.0ms)

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

prune101.0ms

Pruning

5 alts after pruning (5 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)))

rewrite15.0ms

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:

15.0ms

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

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

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

simplify55.0ms

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

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
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 → 105

Calls

4 calls:

128.0ms	(* (cbrt (+ (+ x y) y)) (cbrt (+ (+ x y) y)))
15.0ms	(cbrt (+ (+ x y) y))
18.0ms	(cbrt (+ (+ x y) y))
15.0ms	(cbrt (+ (+ x y) y))

series638.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(* (cbrt (+ (+ x y) y)) (cbrt (+ (+ x y) y)))
164.0ms	(cbrt (+ (+ x y) y))
149.0ms	(cbrt (+ (+ x y) y))
152.0ms	(cbrt (+ (+ x y) y))

simplify122.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	281	989
1	875	938
2	4114	827
3	5003	822

prune285.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* 3 x) (+ z (* 2 y))))
0.5b	(cbrt (+ (* 3 x) (+ z (* 2 y))))
0.5b	(cbrt (+ (* 3 x) (+ z (* 2 y))))
0.6b	(* (cbrt (+ (* 3 x) (+ z (* 2 y)))) (cbrt (+ (* 3 x) (+ z (* 2 y)))))

rewrite127.0ms

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:

11.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
11.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
11.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
93.0ms	(* (cbrt (+ (* 3 x) (+ z (* 2 y)))) (cbrt (+ (* 3 x) (+ z (* 2 y)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

250.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
282.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
246.0ms	(cbrt (+ (* 3 x) (+ z (* 2 y))))
311.0ms	(* (cbrt (+ (* 3 x) (+ z (* 2 y)))) (cbrt (+ (* 3 x) (+ z (* 2 y)))))

simplify138.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	302	1268
1	986	1183
2	4785	1102
3	5001	1095

prune278.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes106.0ms

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

sample391.0ms

Algorithm

intervals

Results

145.0ms	7414×	body	80	valid
21.0ms	181×	body	1280	valid
13.0ms	188×	body	640	valid
7.0ms	136×	body	320	valid
3.0ms	75×	body	160	valid
2.0ms	21×	body	2560	valid