Details

sample16.0ms

Algorithm

intervals

Results

5.0ms	241×	body	80	valid
0.0ms	6×	body	640	valid
0.0ms	4×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	2560	valid

simplify321.0ms

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: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

1.8s	(+ (+ (+ (+ (+ x y) y) x) z) x)
26.0ms	(+ (+ x y) y)
112.0ms	(+ (+ (+ x y) y) x)

series81.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
23.0ms	(+ (+ x y) y)
34.0ms	(+ (+ (+ x y) y) x)

simplify34.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	249	320
1	929	288
2	5002	270

prune109.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
3×	`associate-+l+`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

71.0ms	(+ (+ (* 2 (+ x y)) x) z)
16.0ms	(+ (* 2 (+ x y)) x)

series53.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (+ (* 2 (+ x y)) x) z)
31.0ms	(+ (* 2 (+ x y)) x)

simplify78.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	165	183
1	588	174
2	2960	170
3	5001	170

prune74.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 2 (+ x y)) (* 2 (+ x y)))
0.0b	(- (* 2 (+ x y)) x)
9.5b	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
27.9b	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)) (- (* 2 (+ x y)) x))

rewrite329.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
18×	`add-exp-log` `add-cbrt-cube`
17×	`pow-prod-down`
14×	`associate-*r/`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`prod-exp` `cbrt-unprod` `add-log-exp`
6×	`flip3-+` `associate--l+` `flip-+`
5×	`difference-of-squares`
4×	`frac-times` `flip3--` `pow-sqr` `pow-prod-up` `flip--` `associate-/l*`
3×	`associate-/r*`
2×	`sub-neg` `pow-plus` `diff-log` `associate-*l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

4 → 113

Calls

4 calls:

60.0ms	(* (* 2 (+ x y)) (* 2 (+ x y)))
14.0ms	(- (* 2 (+ x y)) x)
74.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
176.0ms	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)) (- (* 2 (+ x y)) x))

series156.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (* 2 (+ x y)) (* 2 (+ x y)))
23.0ms	(- (* 2 (+ x y)) x)
31.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x))
82.0ms	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* x x)) (- (* 2 (+ x y)) x))

simplify92.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	516	1135
1	2849	969
2	5001	949

prune279.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* 2 (+ x y)) x)) (cbrt (- (* 2 (+ x y)) x)))
0.5b	(cbrt (- (* 2 (+ x y)) x))
0.5b	(cbrt (- (* 2 (+ x y)) x))
0.5b	(cbrt (- (* 2 (+ x y)) x))

rewrite153.0ms

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:

108.0ms	(* (cbrt (- (* 2 (+ x y)) x)) (cbrt (- (* 2 (+ x y)) x)))
13.0ms	(cbrt (- (* 2 (+ x y)) x))
13.0ms	(cbrt (- (* 2 (+ x y)) x))
15.0ms	(cbrt (- (* 2 (+ x y)) x))

series609.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(* (cbrt (- (* 2 (+ x y)) x)) (cbrt (- (* 2 (+ x y)) x)))
141.0ms	(cbrt (- (* 2 (+ x y)) x))
144.0ms	(cbrt (- (* 2 (+ x y)) x))
142.0ms	(cbrt (- (* 2 (+ x y)) x))

simplify47.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	284	1052
1	1017	987
2	5002	920

prune314.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes90.0ms

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	17	4
1	19	4
2	19	4

end0.0ms

sample412.0ms

Algorithm

intervals

Results

156.0ms	7420×	body	80	valid
15.0ms	178×	body	1280	valid
13.0ms	189×	body	640	valid
7.0ms	127×	body	320	valid
3.0ms	34×	body	2560	valid
2.0ms	66×	body	160	valid