Details

sample18.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	4
1	28	4
2	43	4
3	56	4
4	72	4
5	133	4
6	214	4
7	265	4
8	297	4
9	297	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (- 2.0 (+ x y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
30×	`times-frac`
19×	`distribute-lft-out--`
14×	`add-cube-cbrt`
13×	`difference-of-squares`
6×	`associate-/r*` `distribute-lft-out`
5×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-sub` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 60

Calls

1 calls:

21.0ms

(/ (- x y) (- 2.0 (+ x y)))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(/ (- x y) (- 2.0 (+ x y)))

simplify131.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	283	498
1	886	475
2	4321	474
3	5001	474

prune119.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 2.0 (+ x y)) (- x y))
0.1b	(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

292×	`*-un-lft-identity`
258×	`times-frac`
214×	`add-sqr-sqrt`
100×	`add-cube-cbrt`
83×	`distribute-lft-out--`
57×	`difference-of-squares`
41×	`associate-/r*`
26×	`distribute-lft-out`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube` `associate-/l*`
8×	`div-exp`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

2 → 230

Calls

2 calls:

29.0ms	(/ (- 2.0 (+ x y)) (- x y))
28.0ms	(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

series169.0ms

Counts

2 → 6

Calls

2 calls:

114.0ms	(/ (- 2.0 (+ x y)) (- x y))
55.0ms	(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

simplify94.0ms

Algorithm

egg-herbie

Counts

236 → 236

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	658	2336
1	3150	2130
2	5001	1941

prune282.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 109

Calls

4 calls:

20.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
2.0ms	(cbrt (- x y))
2.0ms	(cbrt (- x y))
2.0ms	(cbrt (- x y))

series605.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
157.0ms	(cbrt (- x y))
155.0ms	(cbrt (- x y))
161.0ms	(cbrt (- x y))

simplify170.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (160.0ms)

Iter	Nodes	Cost
0	270	790
1	950	753
2	4639	700
3	5001	694

prune307.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
28.8b	(/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y))))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
41×	`times-frac`
30×	`associate-l`
29×	`add-cube-cbrt`
20×	`difference-of-squares`
12×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-r` `distribute-lft-out` `distribute-lft-out--`
8×	`flip3-+` `flip-+`
6×	`frac-times` `swap-sqr`
5×	`associate-/l*`
4×	`associate-r/` `associate-/r` `associate-/r/`
3×	`expm1-log1p-u` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `associate-/l/`
1×	`pow2` `frac-2neg` `pow-plus` `div-sub` `clear-num` `pow-sqr` `pow-prod-up`

Counts

3 → 145

Calls

3 calls:

17.0ms	(* (+ x y) (+ x y))
53.0ms	(* (/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
12.0ms	(/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y))))

series190.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(* (+ x y) (+ x y))
93.0ms	(* (/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
81.0ms	(/ (- x y) (- (* 2.0 2.0) (* (+ x y) (+ x y))))

simplify134.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	828	1506
1	4402	1381
2	5001	1381

prune312.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes56.0ms

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

sample483.0ms

Algorithm

intervals

Results

346.0ms	7998×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid