Details

Time bar (total: 1.8s)

sample17.0ms

Algorithm
intervals
Results
7.0ms309×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1223
2333
3363
4423
5463
6543
72823
820723
950013

prune2.0ms

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: 10.5b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
9.8b
(/ (* x (+ y z)) z)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×pow1 associate-*r/ associate-*r*
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
6.0ms
(* x (+ y z))
6.0ms
(/ (* x (+ y z)) z)

series63.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* x (+ y z))
38.0ms
(/ (* x (+ y z)) z)

simplify37.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0226206
11099177
25001177

prune94.0ms

Filtered
52 candidates to 35 candidates (67.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New43952
Fresh000
Picked101
Done000
Total44953

Merged error: 0.0b

Counts
53 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
3.0b
(/ x (/ z (+ y z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 123
Calls
2 calls:
5.0ms
(/ z (+ y z))
8.0ms
(/ x (/ z (+ y z)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ z (+ y z))
43.0ms
(/ x (/ z (+ y z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0413869
11890835
25002832

prune209.0ms

Filtered
129 candidates to 91 candidates (70.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1263129
Fresh448
Picked011
Done000
Total1308138

Merged error: 0b

Counts
138 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ y z))
0.2b
(* z (/ 1 (+ y z)))
3.0b
(/ x (* z (/ 1 (+ y z))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
31×add-exp-log
30×add-sqr-sqrt
29×times-frac
23×add-cube-cbrt
19×add-cbrt-cube
18×associate-*r*
11×div-exp
8×prod-exp
7×distribute-lft-out
6×pow1 cbrt-undiv associate-/r/ associate-/l*
5×associate-/r*
4×cbrt-unprod
3×rec-exp 1-exp associate-*l* div-inv add-log-exp unswap-sqr
2×frac-2neg flip3-+ associate-*r/ clear-num un-div-inv flip-+
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 105
Calls
3 calls:
5.0ms
(/ 1 (+ y z))
14.0ms
(* z (/ 1 (+ y z)))
8.0ms
(/ x (* z (/ 1 (+ y z))))

series119.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ 1 (+ y z))
44.0ms
(* z (/ 1 (+ y z)))
43.0ms
(/ x (* z (/ 1 (+ y z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0328513
11523425
25001381

prune128.0ms

Filtered
114 candidates to 59 candidates (51.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh066
Picked011
Done011
Total1148122

Merged error: 0b

Counts
122 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
3.2b
(* x (/ (+ y z) z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-/l*
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 68
Calls
2 calls:
5.0ms
(/ (+ y z) z)
9.0ms
(* x (/ (+ y z) z))

series56.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ (+ y z) z)
39.0ms
(* x (/ (+ y z) z))

simplify87.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0233344
11013313
23962313
35001313

prune93.0ms

Filtered
74 candidates to 48 candidates (64.9%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New74074
Fresh055
Picked011
Done022
Total74882

Merged error: 0b

Counts
82 → 8

regimes103.0ms

Accuracy

13.3% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.9b

bsearch53.0ms

Steps
ItersRangePoint
8
5.727763748172352e-117
1.1322275647380475e-113
4.954200753475621e-114
7
-0.0013599480658119621
-7.74497267090904e-05
-8.826443052333155e-05

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0237
1237

end0.0ms

sample429.0ms

Algorithm
intervals
Results
235.0ms9563×body80valid