Details

Time bar (total: 3.9s)

sample11.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
083
193
293

prune2.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 47
Calls
1 calls:
11.0ms
(/ (+ x y) (- x y))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(/ (+ x y) (- x y))

simplify50.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0174296
1526282
21532278
35001278

prune90.0ms

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))

rewrite120.0ms

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×expm1-log1p-u cbrt-div log1p-expm1-u 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 → 282
Calls
4 calls:
63.0ms
(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))
11.0ms
(/ (+ x y) (- x y))
11.0ms
(/ (+ x y) (- x y))
12.0ms
(/ (+ x y) (- x y))

series323.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))
64.0ms
(/ (+ x y) (- x y))
63.0ms
(/ (+ x y) (- x y))
61.0ms
(/ (+ x y) (- x y))

simplify66.0ms

Algorithm
egg-herbie
Counts
294 → 294
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03612859
112682779
250012584

prune630.0ms

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)

rewrite60.0ms

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 expm1-log1p-u div-exp log1p-expm1-u 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 → 215
Calls
4 calls:
11.0ms
(/ (+ x y) (- x y))
14.0ms
(/ (+ x y) (- x y))
11.0ms
(/ (+ x y) (- x y))
12.0ms
(pow (/ (+ x y) (- x y)) 3)

series274.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(/ (+ x y) (- x y))
61.0ms
(/ (+ x y) (- x y))
68.0ms
(/ (+ x y) (- x y))
78.0ms
(pow (/ (+ x y) (- x y)) 3)

simplify66.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04421467
119511384
250011367

prune588.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

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))

rewrite14.0ms

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 expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 68
Calls
4 calls:
2.0ms
(cbrt (- x y))
5.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))

series595.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (- x y))
151.0ms
(cbrt (- x y))
150.0ms
(cbrt (- x y))
150.0ms
(cbrt (- x y))

simplify109.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 4 (103.0ms)

IterNodesCost
0150452
1330432
2926420
33139392
45002380

prune413.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes60.0ms

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

sample261.0ms

Algorithm
intervals
Results
143.0ms8000×body80valid