Details

Time bar (total: 3.5s)

sample18.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify5.0ms

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

localize7.0ms

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))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(/ (+ x y) (- x y))

simplify47.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0169288
1510274
21435270
35001270

prune74.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
16×*-un-lft-identity
14×add-sqr-sqrt
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 59
Calls
4 calls:
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))

series592.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(cbrt (+ x y))
150.0ms
(cbrt (- x y))
151.0ms
(cbrt (- x y))
151.0ms
(cbrt (- x y))

simplify53.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0217408
1516388
21664377
35001365

prune232.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

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))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube 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 → 95
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))

series564.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
134.0ms
(cbrt (+ x y))
128.0ms
(cbrt (+ x y))
139.0ms
(cbrt (+ x y))

simplify139.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (126.0ms)

IterNodesCost
0246671
1881634
24190584
35001580

prune216.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (/ (+ x y) (sqrt (- x y))) (sqrt (- x y)))
0.2b
(/ (+ x y) (sqrt (- x y)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
624×times-frac
574×*-un-lft-identity
412×add-sqr-sqrt
400×sqrt-prod
252×add-cube-cbrt
81×distribute-lft-out
80×distribute-lft-out-- difference-of-squares
42×associate-/l*
22×sqrt-div associate-/r/
16×associate-/r*
11×flip3-- flip-- div-inv
9×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp
3×associate-/l/
2×pow1 frac-2neg clear-num add-log-exp
1×flip3-+ flip-+
Counts
2 → 427
Calls
2 calls:
33.0ms
(/ (/ (+ x y) (sqrt (- x y))) (sqrt (- x y)))
12.0ms
(/ (+ x y) (sqrt (- x y)))

series231.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ (/ (+ x y) (sqrt (- x y))) (sqrt (- x y)))
160.0ms
(/ (+ x y) (sqrt (- x y)))

simplify105.0ms

Algorithm
egg-herbie
Counts
433 → 433
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
08836304
132525637
250015597

prune476.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes49.0ms

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)

IterNodesCost
063
163

end0.0ms

sample501.0ms

Algorithm
intervals
Results
362.0ms8000×body80valid