Details

Time bar (total: 3.7s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293

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))

rewrite13.0ms

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:
11.0ms
(/ (+ x y) (- x y))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(/ (+ x y) (- x y))

simplify42.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0169288
1510274
21435270
35001270

prune76.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite112.0ms

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:
59.0ms
(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))
11.0ms
(/ (+ x y) (- x y))
14.0ms
(/ (+ x y) (- x y))
11.0ms
(/ (+ x y) (- x y))

series340.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))
68.0ms
(/ (+ x y) (- x y))
60.0ms
(/ (+ x y) (- x y))
66.0ms
(/ (+ x y) (- x y))

simplify58.0ms

Algorithm
egg-herbie
Counts
286 → 286
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03522815
112442735
250012540

prune606.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

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
(pow (/ (+ x y) (- x y)) 3)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
160×*-un-lft-identity
104×add-sqr-sqrt
100×times-frac
58×add-cube-cbrt
28×distribute-lft-out
26×unpow-prod-down cube-prod
23×distribute-lft-out-- difference-of-squares
15×associate-/r*
13×add-exp-log add-cbrt-cube
12×associate-/l*
10×associate-/r/
6×associate-/l/
5×pow1 flip3-- flip-- div-inv
4×cbrt-undiv div-exp add-log-exp
3×pow-unpow frac-2neg flip3-+ clear-num flip-+
2×pow-exp rem-cube-cbrt
1×cube-div cube-mult pow-to-exp pow-pow unpow3 sqr-pow
Counts
4 → 207
Calls
4 calls:
14.0ms
(/ (+ x y) (- x y))
11.0ms
(/ (+ x y) (- x y))
11.0ms
(/ (+ x y) (- x y))
13.0ms
(pow (/ (+ x y) (- x y)) 3)

series264.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(/ (+ x y) (- x y))
64.0ms
(/ (+ x y) (- x y))
60.0ms
(/ (+ x y) (- x y))
73.0ms
(pow (/ (+ x y) (- x y)) 3)

simplify62.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04331433
119281352
250031335

prune538.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 60
Calls
4 calls:
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))

series619.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(cbrt (- x y))
160.0ms
(cbrt (- x y))
164.0ms
(cbrt (- x y))
144.0ms
(cbrt (- x y))

simplify116.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 4 (105.0ms)

IterNodesCost
0144428
1307408
2839396
32856372
45001364

prune344.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes63.0ms

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)

IterNodesCost
01516
11516

end0.0ms

sample271.0ms

Algorithm
intervals
Results
149.0ms8000×body80valid