Details

Time bar (total: 3.5s)

analyze891.0ms

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

sample28.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms24×body80invalid

simplify112.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (110.0ms)

IterNodesCost
0490011
1490011

prune8.0ms

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: 6.9b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* y z))
6.7b
(/ (- x (* y z)) (- t (* a z)))

rewrite9.0ms

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

series26.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(- x (* y z))
19.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05427646

prune96.0ms

Filtered
40 candidates to 49 candidates (-22.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New40949
Fresh000
Picked011
Done000
Total401050

Merged error: 3.7b

Counts
50 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* z a))) (* y (/ z (- t (* z a)))))
2.1b
(/ x (- t (* z a)))
2.2b
(* y (/ z (- t (* z a))))
4.8b
(/ z (- t (* z a)))

rewrite26.0ms

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
6×pow1 associate-/r* associate-/r/ associate-/l* add-log-exp
4×flip3-- flip--
3×cbrt-undiv associate-*r/ div-exp associate-*l* div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg diff-log pow-prod-down *-commutative frac-sub sub-div
Counts
4 → 105
Calls
4 calls:
7.0ms
(- (/ x (- t (* z a))) (* y (/ z (- t (* z a)))))
4.0ms
(/ x (- t (* z a)))
7.0ms
(* y (/ z (- 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)))))
11.0ms
(/ x (- t (* z a)))
13.0ms
(* y (/ z (- t (* z a))))
12.0ms
(/ z (- t (* z a)))

simplify56.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
057971302

prune144.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1152117
Fresh358
Picked101
Done011
Total1198127

Merged error: 1.3b

Counts
127 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t z) a)
0.0b
(+ (/ x (- t (* z a))) (/ (neg y) (- (/ t z) a)))
2.1b
(/ x (- t (* z a)))
2.4b
(/ (neg y) (- (/ t z) a))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
104×add-sqr-sqrt
89×times-frac
88×*-un-lft-identity
44×add-cube-cbrt
24×difference-of-squares
23×distribute-rgt-neg-in
21×distribute-lft-neg-in
14×distribute-lft-out--
13×associate-/l*
9×associate-/r*
8×add-exp-log add-cbrt-cube add-log-exp
7×neg-mul-1
5×distribute-lft-out
4×pow1 associate-/r/
3×flip3-- flip--
2×cbrt-undiv neg-sub0 frac-2neg div-sub distribute-frac-neg div-exp clear-num div-inv
1×+-commutative associate-+r- sub-neg flip3-+ diff-log unsub-neg frac-add sum-log flip-+
Counts
4 → 154
Calls
4 calls:
7.0ms
(- (/ t z) a)
48.0ms
(+ (/ x (- t (* z a))) (/ (neg y) (- (/ t z) a)))
4.0ms
(/ x (- t (* z a)))
9.0ms
(/ (neg y) (- (/ t z) a))

series54.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (/ t z) a)
26.0ms
(+ (/ x (- t (* z a))) (/ (neg y) (- (/ t z) a)))
11.0ms
(/ x (- t (* z a)))
11.0ms
(/ (neg y) (- (/ t z) a))

simplify48.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
055782259

prune154.0ms

Filtered
118 candidates to 166 candidates (-40.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1651166
Fresh156
Picked011
Done011
Total1668174

Merged error: 1.3b

Counts
174 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x (- t (* z a))) (/ -1 (/ (- (/ t z) a) y)))
0.5b
(/ -1 (/ (- (/ t z) a) y))
2.1b
(/ x (- t (* z a)))
2.5b
(/ (- (/ t z) a) y)

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
183×times-frac
166×add-sqr-sqrt
124×*-un-lft-identity
86×add-cube-cbrt
32×difference-of-squares
28×associate-/r*
16×distribute-lft-out--
13×add-exp-log add-cbrt-cube
12×associate-/l*
7×div-inv
6×add-log-exp
5×cbrt-undiv div-exp
4×pow1
3×frac-2neg clear-num associate-/r/
2×flip3-- flip-- associate-/l/ distribute-lft-out
1×+-commutative flip3-+ div-sub frac-add sum-log flip-+
Counts
4 → 191
Calls
4 calls:
51.0ms
(+ (/ x (- t (* z a))) (/ -1 (/ (- (/ t z) a) y)))
11.0ms
(/ -1 (/ (- (/ t z) a) y))
4.0ms
(/ x (- t (* z a)))
9.0ms
(/ (- (/ t z) a) y)

series72.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (/ x (- t (* z a))) (/ -1 (/ (- (/ t z) a) y)))
27.0ms
(/ -1 (/ (- (/ t z) a) y))
11.0ms
(/ x (- t (* z a)))
10.0ms
(/ (- (/ t z) a) y)

simplify59.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050633046

prune197.0ms

Filtered
158 candidates to 203 candidates (-28.5%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2030203
Fresh055
Picked011
Done022
Total2038211

Merged error: 1.3b

Counts
211 → 8

regimes512.0ms

Accuracy

0% (1.3b remaining)

Error of 2.9b against oracle of 1.6b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05615
15615

end0.0ms

sample726.0ms

Algorithm
intervals
Results
368.0ms8000×body80valid
35.0ms743×body80invalid

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