Details

Time bar (total: 3.3s)

analyze878.0ms

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
0%99.8%0.2%8
0%99.8%0.2%9
13.2%86.5%0.2%10
17%82.8%0.2%11
18.2%81.5%0.2%12
21.7%78.1%0.2%13
32.9%66.9%0.2%14

sample29.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
1.0ms34×body80invalid

simplify127.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (126.0ms)

IterNodesCost
0490011
1490011

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 11.9b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
11.6b
(/ (- x (* y z)) (- t (* a z)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
flip3-- associate-/r* flip-- associate-/l*
pow1 associate-/r/ associate-/l/
cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 43
Calls
2 calls:
3.0ms
(- t (* a z))
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series26.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(- t (* a z))
19.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05930646

prune84.0ms

Filtered
41 candidates to 49 candidates (-19.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New42749
Fresh000
Picked101
Done000
Total43750

Merged error: 8.2b

Counts
50 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* z a))) (* y (/ z (- t (* z a)))))
2.9b
(* y (/ z (- t (* z a))))
3.0b
(/ x (- t (* z a)))
10.4b
(/ z (- t (* z a)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×add-cube-cbrt *-un-lft-identity times-frac
15×associate-*r*
13×add-exp-log add-cbrt-cube
pow1 associate-/r* associate-/r/ associate-/l* add-log-exp
flip3-- flip--
cbrt-undiv associate-*r/ div-exp associate-*l* div-inv
frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
sub-neg diff-log pow-prod-down *-commutative frac-sub sub-div
Counts
4 → 105
Calls
4 calls:
8.0ms
(- (/ x (- t (* z a))) (* y (/ z (- t (* z a)))))
8.0ms
(* y (/ z (- t (* z a))))
4.0ms
(/ x (- t (* z a)))
4.0ms
(/ z (- t (* z a)))

series63.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- (/ x (- t (* z a))) (* y (/ z (- t (* z a)))))
12.0ms
(* y (/ z (- t (* z a))))
13.0ms
(/ x (- t (* z a)))
10.0ms
(/ z (- t (* z a)))

simplify54.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
057971302

prune141.0ms

Filtered
92 candidates to 117 candidates (-27.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1143117
Fresh066
Picked101
Done000
Total1159124

Merged error: 2.0b

Counts
124 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* z a))
0.0b
(+ (/ x (- t (* z a))) (/ (neg y) (- (/ t z) a)))
3.0b
(/ x (- t (* z a)))
3.1b
(/ (neg y) (- (/ t z) a))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt
88×times-frac
86×*-un-lft-identity
44×add-cube-cbrt
23×distribute-rgt-neg-in
22×difference-of-squares
21×distribute-lft-neg-in
13×associate-/l* distribute-lft-out--
associate-/r*
add-exp-log add-cbrt-cube add-log-exp
neg-mul-1
distribute-lft-out
pow1 associate-/r/
flip3-- flip--
cbrt-undiv neg-sub0 frac-2neg div-sub distribute-frac-neg div-exp clear-num div-inv
+-commutative associate-+r- sub-neg flip3-+ diff-log unsub-neg frac-add sum-log flip-+
Counts
4 → 151
Calls
4 calls:
3.0ms
(- t (* z a))
48.0ms
(+ (/ x (- t (* z a))) (/ (neg y) (- (/ t z) a)))
4.0ms
(/ x (- t (* z a)))
10.0ms
(/ (neg y) (- (/ t z) a))

series55.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- t (* z a))
27.0ms
(+ (/ x (- t (* z a))) (/ (neg y) (- (/ t z) a)))
11.0ms
(/ x (- t (* z a)))
10.0ms
(/ (neg y) (- (/ t z) a))

simplify48.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
054542222

prune150.0ms

Filtered
117 candidates to 163 candidates (-39.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1621163
Fresh268
Picked011
Done000
Total1648172

Merged error: 2.0b

Counts
172 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* z a))) (* y (/ 1 (- (/ t z) a))))
0.5b
(/ 1 (- (/ t z) a))
2.9b
(* y (/ 1 (- (/ t z) a)))
3.0b
(/ x (- t (* z a)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
54×times-frac
49×*-un-lft-identity
34×add-cube-cbrt
24×associate-*r*
19×add-exp-log
14×difference-of-squares
13×add-cbrt-cube
associate-/r*
pow1 distribute-lft-out--
associate-/r/ associate-/l* add-log-exp
div-exp
flip3-- prod-exp flip--
cbrt-undiv associate-*l* div-inv unswap-sqr
rec-exp frac-2neg 1-exp associate-*r/ clear-num un-div-inv frac-sub cbrt-unprod
sub-neg pow-flip diff-log pow-prod-down *-commutative inv-pow
Counts
4 → 134
Calls
4 calls:
9.0ms
(- (/ x (- t (* z a))) (* y (/ 1 (- (/ t z) a))))
8.0ms
(/ 1 (- (/ t z) a))
14.0ms
(* y (/ 1 (- (/ t z) a)))
4.0ms
(/ x (- t (* z a)))

series61.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(- (/ x (- t (* z a))) (* y (/ 1 (- (/ t z) a))))
15.0ms
(/ 1 (- (/ t z) a))
11.0ms
(* y (/ 1 (- (/ t z) a)))
11.0ms
(/ x (- t (* z a)))

simplify56.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
054171595

prune118.0ms

Filtered
96 candidates to 146 candidates (-52.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1451146
Fresh066
Picked011
Done011
Total1459154

Merged error: 2.0b

Counts
154 → 9

regimes420.0ms

Accuracy

0% (1.6b remaining)

Error of 3.0b against oracle of 1.4b and baseline of 3.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05615
15615

end0.0ms

sample714.0ms

Algorithm
intervals
Results
361.0ms8000×body80valid
39.0ms743×body80invalid

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