Details

Time bar (total: 3.2s)

analyze443.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
15.6%84.2%0.2%8
28.1%71.7%0.2%9
37.4%62.4%0.2%10
41.7%58.1%0.2%11
53%46.8%0.2%12
64.1%35.6%0.3%13
66.7%32.8%0.5%14

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms17×body80invalid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1304
2654
31564
43024
54704
68654
712434
815454
917054
1017054

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.1b
(/ x (* (- y z) (- t z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
8.0ms
(* (- y z) (- t z))
8.0ms
(/ x (* (- y z) (- t z)))

series32.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (- y z) (- t z))
25.0ms
(/ x (* (- y z) (- t z)))

simplify37.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0300403
11371359
25001355

prune84.0ms

Filtered
51 candidates to 69 candidates (-35.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New64569
Fresh000
Picked011
Done000
Total64670

Merged error: 0.0b

Counts
70 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- t z))
0.0b
(/ 1 (- y z))
1.9b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×rec-exp 1-exp add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 150
Calls
3 calls:
5.0ms
(/ x (- t z))
5.0ms
(/ 1 (- y z))
19.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series54.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ x (- t z))
4.0ms
(/ 1 (- y z))
43.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0518907
12245796
25001756

prune141.0ms

Filtered
97 candidates to 159 candidates (-63.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1536159
Fresh224
Picked011
Done101
Total1569165

Merged error: 0b

Counts
165 → 9

localize6.0ms

Local error

Found 1 expressions with local error:

2.0b
(/ (/ x (- y z)) (- t z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
195×times-frac
157×add-sqr-sqrt *-un-lft-identity
77×add-cube-cbrt
40×distribute-lft-out-- difference-of-squares
21×associate-/l*
14×associate-/r/
7×flip3-- flip-- div-inv
6×add-exp-log add-cbrt-cube
5×associate-/r*
3×cbrt-undiv div-exp
1×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 148
Calls
1 calls:
12.0ms
(/ (/ x (- y z)) (- t z))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(/ (/ x (- y z)) (- t z))

simplify73.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
06191547
122641513
250011513

prune118.0ms

Filtered
99 candidates to 151 candidates (-52.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1510151
Fresh077
Picked011
Done011
Total1519160

Merged error: 0b

Counts
160 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- y z))
0.0b
(/ (- t z) x)
0.7b
(/ 1 (/ (- t z) x))
1.9b
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
292×times-frac
247×add-sqr-sqrt
211×*-un-lft-identity
136×add-cube-cbrt
104×add-exp-log
62×associate-*r*
52×div-exp
34×add-cbrt-cube
32×distribute-lft-out-- difference-of-squares
28×prod-exp
27×associate-/r*
21×associate-*l*
18×rec-exp 1-exp
15×unswap-sqr
14×cbrt-undiv
12×div-inv
11×associate-/l*
10×pow1
6×associate-/r/ cbrt-unprod
4×pow-flip inv-pow add-log-exp
3×flip3-- frac-2neg pow-prod-down clear-num flip--
2×associate-/l/
1×frac-times div-sub associate-*r/ associate-*l/ un-div-inv *-commutative
Counts
4 → 326
Calls
4 calls:
5.0ms
(/ 1 (- y z))
5.0ms
(/ (- t z) x)
8.0ms
(/ 1 (/ (- t z) x))
35.0ms
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

series135.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ 1 (- y z))
10.0ms
(/ (- t z) x)
11.0ms
(/ 1 (/ (- t z) x))
107.0ms
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

simplify117.0ms

Algorithm
egg-herbie
Counts
338 → 338
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
011012475
148592120
250012087

prune398.0ms

Filtered
192 candidates to 338 candidates (-76.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3353338
Fresh426
Picked101
Done022
Total3407347

Merged error: 0b

Counts
347 → 7

regimes345.0ms

Accuracy

45.9% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02923
12923

end0.0ms

analyze443.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
15.6%84.2%0.2%8
28.1%71.7%0.2%9
37.4%62.4%0.2%10
41.7%58.1%0.2%11
53%46.8%0.2%12
64.1%35.6%0.3%13
66.7%32.8%0.5%14

sample489.0ms

Algorithm
intervals
Results
259.0ms8000×body80valid
12.0ms414×body80invalid

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