Details

sample12.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	9	3
2	9	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

25.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	169	288
1	510	274
2	1435	270
3	5001	270

prune81.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x y) (- x y))
0.0b	(/ (+ x y) (- x y))
0.0b	(/ (+ x y) (- x y))
0.0b	(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

321×	`*-un-lft-identity`
190×	`times-frac`
183×	`add-sqr-sqrt`
160×	`cbrt-prod`
89×	`add-cube-cbrt`
56×	`distribute-lft-out`
51×	`swap-sqr`
47×	`distribute-lft-out--`
35×	`difference-of-squares`
29×	`associate-r` `associate-l`
15×	`associate-/r*`
14×	`associate-/r/`
12×	`add-exp-log` `associate-/l*`
11×	`pow1`
10×	`add-cbrt-cube`
9×	`unswap-sqr`
7×	`flip3--` `flip--` `div-inv`
6×	`pow1/3` `associate-/l/`
4×	`cbrt-div` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 274

Calls

4 calls:

27.0ms	(/ (+ x y) (- x y))
26.0ms	(/ (+ x y) (- x y))
28.0ms	(/ (+ x y) (- x y))
98.0ms	(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))

series297.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (+ x y) (- x y))
58.0ms	(/ (+ x y) (- x y))
58.0ms	(/ (+ x y) (- x y))
124.0ms	(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))

simplify68.0ms

Algorithm

egg-herbie

Counts

286 → 286

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	352	2815
1	1244	2735
2	5002	2540

prune603.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-r`
15×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/r*`
4×	`div-exp` `associate-l` `prod-exp` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `flip3--` `flip3-+` `1-exp` `associate-*l/` `flip--` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `distribute-lft-out` `inv-pow`

Counts

2 → 90

Calls

2 calls:

13.0ms	(/ 1 (- x y))
48.0ms	(* (+ x y) (/ 1 (- x y)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ 1 (- x y))
60.0ms	(* (+ x y) (/ 1 (- x y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	288	480
1	1398	418
2	5001	364

prune135.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (/ 1 (- x y))) (cbrt (/ (+ x y) (- x y))))
0.3b	(* (* (cbrt (/ 1 (- x y))) (cbrt (/ (+ x y) (- x y)))) (cbrt (+ x y)))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (/ 1 (- x y)))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

93×	`cbrt-prod`
88×	`add-sqr-sqrt`
74×	`*-un-lft-identity`
60×	`times-frac`
37×	`add-cube-cbrt`
36×	`associate-r`
27×	`cbrt-div`
25×	`associate-l`
12×	`unswap-sqr`
11×	`pow1` `add-exp-log`
10×	`frac-times` `distribute-lft-out--` `difference-of-squares`
7×	`pow1/3` `pow-prod-down` `associate-*l/` `distribute-lft-out`
6×	`associate-*r/` `associate-/r/`
5×	`flip3-+` `add-cbrt-cube` `flip-+`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`flip3--` `flip--` `div-inv`
2×	`*-commutative`

Counts

4 → 158

Calls

4 calls:

80.0ms	(* (cbrt (/ 1 (- x y))) (cbrt (/ (+ x y) (- x y))))
102.0ms	(* (* (cbrt (/ 1 (- x y))) (cbrt (/ (+ x y) (- x y)))) (cbrt (+ x y)))
4.0ms	(cbrt (+ x y))
7.0ms	(cbrt (/ 1 (- x y)))

series502.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (cbrt (/ 1 (- x y))) (cbrt (/ (+ x y) (- x y))))
121.0ms	(* (* (cbrt (/ 1 (- x y))) (cbrt (/ (+ x y) (- x y)))) (cbrt (+ x y)))
119.0ms	(cbrt (+ x y))
131.0ms	(cbrt (/ 1 (- x y)))

simplify63.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	621	1721
1	2065	1658
2	5002	1606

prune487.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.1b 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	10	14
1	10	14

end0.0ms

sample306.0ms

Algorithm

intervals

Results

143.0ms

8000×

body

valid