Details

Time bar (total: 5.0s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0368
11528
25018
321538
450018

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 19.1b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.1b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.9b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
492×*-un-lft-identity
454×add-sqr-sqrt
448×associate-*l*
420×times-frac
238×associate-*r*
212×add-cube-cbrt
135×unswap-sqr
132×distribute-lft-out
104×swap-sqr
79×*-commutative
60×frac-times flip3-+ flip-+
35×associate-/r*
31×add-exp-log add-cbrt-cube
30×associate-*l/
26×associate-/r/
18×associate-*r/
15×pow1
13×prod-exp cbrt-unprod
12×associate-/l*
6×cbrt-undiv +-commutative distribute-rgt-in distribute-lft-in div-exp
4×associate-+l+ pow-prod-down
3×add-log-exp
1×pow2 frac-2neg pow-plus clear-num pow-sqr pow-prod-up div-inv
Counts
3 → 635
Calls
3 calls:
8.0ms
(* (+ x y) (+ x y))
20.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
36.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series228.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(* (+ x y) (+ x y))
46.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
168.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify131.0ms

Algorithm
egg-herbie
Counts
644 → 644
Iterations

Useful iterations: 1 (50.0ms)

IterNodesCost
024177586
150017417

prune695.0ms

Filtered
644 candidates to 301 candidates (46.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New63311644
Fresh000
Picked101
Done000
Total63411645

Merged error: 0.0b

Counts
645 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (cbrt x) (/ (fabs (+ x y)) (cbrt x)))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
258×times-frac
147×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
144×cbrt-prod
28×associate-/r*
15×add-cbrt-cube
12×associate-/r/
10×cbrt-undiv
9×add-exp-log associate-/l*
8×div-inv
4×pow1 add-log-exp
3×pow1/3 div-exp
2×frac-2neg clear-num
Counts
4 → 223
Calls
4 calls:
10.0ms
(/ (cbrt x) (/ (fabs (+ x y)) (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series657.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(/ (cbrt x) (/ (fabs (+ x y)) (cbrt x)))
179.0ms
(cbrt x)
181.0ms
(cbrt x)
187.0ms
(cbrt x)

simplify121.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
06722837
139912701
250022600

prune478.0ms

Filtered
235 candidates to 150 candidates (63.8%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New2323235
Fresh3710
Picked011
Done000
Total23511246

Merged error: 0.0b

Counts
246 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fabs (+ x y)))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt (fabs (+ x y)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series588.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(cbrt (fabs (+ x y)))
186.0ms
(cbrt x)
179.0ms
(cbrt x)
181.0ms
(cbrt x)

simplify43.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
059190
1125174
2298166
31072166
45001166

prune173.0ms

Filtered
56 candidates to 46 candidates (82.1%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New55156
Fresh189
Picked011
Done101
Total571067

Merged error: 0.0b

Counts
67 → 10

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (cbrt x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod
25×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
6×swap-sqr associate-*r* associate-*l*
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp unswap-sqr
1×*-commutative
Counts
4 → 71
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
6.0ms
(cbrt (* (cbrt x) (cbrt x)))
2.0ms
(cbrt (cbrt x))

series882.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
185.0ms
(cbrt x)
270.0ms
(cbrt (* (cbrt x) (cbrt x)))
244.0ms
(cbrt (cbrt x))

simplify57.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0150447
1450427
22195388
35001388

prune272.0ms

Filtered
83 candidates to 64 candidates (77.1%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New82183
Fresh088
Picked011
Done011
Total821193

Merged error: 0.0b

Counts
93 → 11

regimes90.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02124
12124

end0.0ms

sample349.0ms

Algorithm
intervals
Results
222.0ms8000×body80valid