Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

450×

body

valid

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	27	3
2	66	3
3	113	3
4	145	3
5	165	3
6	182	3
7	184	3
8	184	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 42

Calls

1 calls:

8.0ms

(* (+ x y) (+ x y))

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(* (+ x y) (+ x y))

simplify40.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	194	221
1	953	194
2	5002	180

prune60.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y))))
5.7b	(cbrt (* (+ x y) (+ x y)))
5.7b	(cbrt (* (+ x y) (+ x y)))
5.7b	(cbrt (* (+ x y) (+ x y)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

168×	`cbrt-div`
148×	`frac-times`
126×	`flip3-+` `flip-+`
50×	`associate-r/` `associate-l/`
12×	`add-sqr-sqrt`
11×	`pow1` `cbrt-prod`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 173

Calls

4 calls:

10.0ms	(* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y))))
7.0ms	(cbrt (* (+ x y) (+ x y)))
7.0ms	(cbrt (* (+ x y) (+ x y)))
7.0ms	(cbrt (* (+ x y) (+ x y)))

series536.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y))))
121.0ms	(cbrt (* (+ x y) (+ x y)))
161.0ms	(cbrt (* (+ x y) (+ x y)))
122.0ms	(cbrt (* (+ x y) (+ x y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	404	2873
1	1339	2798
2	5001	2755

prune360.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
5.7b	(cbrt (* (+ x y) (+ x y)))
5.7b	(cbrt (* (+ x y) (+ x y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-div`
14×	`flip3-+` `flip-+`
10×	`cbrt-prod` `*-un-lft-identity`
8×	`frac-times`
6×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `associate-r/` `associate-l/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`distribute-lft-out`

Counts

4 → 70

Calls

4 calls:

3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
7.0ms	(cbrt (* (+ x y) (+ x y)))
7.0ms	(cbrt (* (+ x y) (+ x y)))

series515.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (+ x y))
136.0ms	(cbrt (+ x y))
124.0ms	(cbrt (* (+ x y) (+ x y)))
125.0ms	(cbrt (* (+ x y) (+ x y)))

simplify107.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	262	556
1	895	524
2	3845	516
3	5001	516

prune256.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- x y) (- x y))
0.2b	(* (- (* x x) (* y y)) (- (* x x) (* y y)))
34.6b	(/ (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
24×	`flip3--` `flip--`
23×	`add-cube-cbrt`
20×	`prod-diff`
19×	`add-exp-log` `add-cbrt-cube`
17×	`pow1`
16×	`frac-times`
14×	`distribute-rgt-in` `distribute-lft-in`
11×	`swap-sqr`
9×	`associate-r` `associate-l`
8×	`associate-r/` `associate-l/` `associate-/r/` `associate-/l/` `difference-of-squares`
6×	`prod-exp` `cbrt-unprod` `distribute-lft-out--`
4×	`cbrt-undiv` `sub-neg` `div-exp`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

3 → 148

Calls

3 calls:

10.0ms	(* (- x y) (- x y))
10.0ms	(* (- (* x x) (* y y)) (- (* x x) (* y y)))
17.0ms	(/ (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)))

series105.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* (- x y) (- x y))
46.0ms	(* (- (* x x) (* y y)) (- (* x x) (* y y)))
40.0ms	(/ (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)))

simplify148.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (133.0ms)

Iter	Nodes	Cost
0	613	1617
1	3948	1203
2	5001	1191

prune257.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

regimes30.0ms

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	4
1	8	4

end0.0ms

sample402.0ms

Algorithm

intervals

Results

197.0ms

14249×

body

valid