Details

Time bar (total: 1.8s)

sample17.0ms

Algorithm
intervals
Results
8.0ms309×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1223
2333
3363
4423
5463
6543
72823
820723
950023

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: 12.0b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
11.4b
(/ (* 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))
7.0ms
(/ (* x (+ y z)) z)

series59.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* x (+ y z))
35.0ms
(/ (* x (+ y z)) z)

simplify35.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0226206
11099177
25001177

prune79.0ms

Filtered
52 candidates to 35 candidates (67.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New46652
Fresh000
Picked101
Done000
Total47653

Merged error: 0.0b

Counts
53 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
2.9b
(/ 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)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ z (+ y z))
46.0ms
(/ x (/ z (+ y z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0413869
11890835
25001832

prune204.0ms

Filtered
129 candidates to 92 candidates (71.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1263129
Fresh325
Picked011
Done000
Total1296135

Merged error: 0b

Counts
135 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ y z))
0.2b
(* z (/ 1 (+ y z)))
2.9b
(/ x (* z (/ 1 (+ y z))))

rewrite28.0ms

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))
10.0ms
(* z (/ 1 (+ y z)))
9.0ms
(/ x (* z (/ 1 (+ y z))))

series115.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ 1 (+ y z))
41.0ms
(* z (/ 1 (+ y z)))
42.0ms
(/ x (* z (/ 1 (+ y z))))

simplify42.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0328511
11523423
25001379

prune117.0ms

Filtered
114 candidates to 59 candidates (51.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh044
Picked011
Done011
Total1146120

Merged error: 0b

Counts
120 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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)
12.0ms
(* x (/ (+ y z) z))

series51.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ (+ y z) z)
34.0ms
(* x (/ (+ y z) z))

simplify88.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0233344
11013313
23948313
35001313

prune97.0ms

Filtered
74 candidates to 50 candidates (67.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New74074
Fresh033
Picked011
Done022
Total74680

Merged error: 0b

Counts
80 → 6

regimes86.0ms

Accuracy

2.1% (2.9b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.0b

bsearch67.0ms

Steps
ItersRangePoint
10
-1.1094666815563289e-234
-2.2403839995114927e-252
-2.0185906828750142e-249
7
-1.3181218970597944e-126
-2.301907727632485e-128
-2.352586947984001e-127

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0227
1227

end0.0ms

sample461.0ms

Algorithm
intervals
Results
268.0ms9653×body80valid

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