Details

Time bar (total: 2.1s)

sample16.0ms

Algorithm
intervals
Results
7.0ms309×body80valid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1223
2423
3613
4863
5973
63883
729173
850013

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: 14.4b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.7b
(/ (* x (- y z)) y)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
6.0ms
(* x (- y z))
6.0ms
(/ (* x (- y z)) y)

series81.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* x (- y z))
48.0ms
(/ (* x (- y z)) y)

simplify33.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0219218
11044189
25001189

prune82.0ms

Filtered
55 candidates to 35 candidates (63.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New49655
Fresh000
Picked011
Done000
Total49756

Merged error: 0.0b

Counts
56 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.8b
(/ x (/ y (- y z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
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 → 139
Calls
2 calls:
5.0ms
(/ y (- y z))
8.0ms
(/ x (/ y (- y z)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ y (- y z))
49.0ms
(/ x (/ y (- y z)))

simplify58.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04721043
122201007
250011004

prune232.0ms

Filtered
145 candidates to 108 candidates (74.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1432145
Fresh235
Picked101
Done101
Total1475152

Merged error: 0b

Counts
152 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.2b
(* y (/ 1 (- y z)))
2.8b
(/ x (* y (/ 1 (- y z))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
35×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
8×prod-exp
7×distribute-lft-out-- difference-of-squares
6×pow1 cbrt-undiv associate-/r* associate-/r/ associate-/l*
4×cbrt-unprod
3×rec-exp 1-exp associate-*l* div-inv add-log-exp unswap-sqr
2×flip3-- frac-2neg associate-*r/ clear-num un-div-inv flip--
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 112
Calls
3 calls:
5.0ms
(/ 1 (- y z))
10.0ms
(* y (/ 1 (- y z)))
8.0ms
(/ x (* y (/ 1 (- y z))))

series130.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 1 (- y z))
48.0ms
(* y (/ 1 (- y z)))
46.0ms
(/ x (* y (/ 1 (- y z))))

simplify49.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0349563
11575471
25001419

prune137.0ms

Filtered
121 candidates to 66 candidates (54.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1210121
Fresh044
Picked011
Done000
Total1215126

Merged error: 0b

Counts
126 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
3.0b
(* x (/ (- y z) y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
5.0ms
(/ (- y z) y)
9.0ms
(* x (/ (- y z) y))

series100.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- y z) y)
51.0ms
(* x (/ (- y z) y))

simplify66.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0264396
11187365
25001364

prune137.0ms

Filtered
82 candidates to 57 candidates (69.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh033
Picked011
Done011
Total82587

Merged error: 0b

Counts
87 → 5

regimes120.0ms

Accuracy

89.6% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
02927
13227
23818
34118
44718
55818
66518
76618
86618

end0.0ms

sample597.0ms

Algorithm
intervals
Results
409.0ms9589×body80valid

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