Details

Time bar (total: 4.1s)

analyze899.0ms

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

sample44.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (112.0ms)

IterNodesCost
0490011
1490011

prune11.0ms

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: 11.1b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
10.8b
(/ (- x (* y z)) (- t (* a z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 associate-/r* associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 54
Calls
3 calls:
3.0ms
(- t (* a z))
3.0ms
(- x (* y z))
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series32.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- t (* a z))
6.0ms
(- x (* y z))
19.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05502755

prune113.0ms

Filtered
52 candidates to 63 candidates (-21.2%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New521163
Fresh000
Picked011
Done000
Total521264

Merged error: 5.7b

Counts
64 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* z a))) (* y (/ z (- t (* z a)))))
2.9b
(/ x (- t (* z a)))
5.3b
(* y (/ z (- t (* z a))))
8.5b
(/ z (- t (* z a)))

rewrite29.0ms

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:
8.0ms
(- (/ x (- t (* z a))) (* y (/ z (- t (* z a)))))
4.0ms
(/ x (- t (* z a)))
8.0ms
(* y (/ z (- t (* z a))))
6.0ms
(/ z (- t (* z a)))

series62.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- (/ x (- t (* z a))) (* y (/ z (- t (* z a)))))
10.0ms
(/ x (- t (* z a)))
12.0ms
(* y (/ z (- t (* z a))))
11.0ms
(/ z (- t (* z a)))

simplify53.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
057971302

prune199.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1152117
Fresh6410
Picked101
Done011
Total1227129

Merged error: 1.4b

Counts
129 → 7

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)))
2.9b
(/ x (- t (* z a)))
5.3b
(/ (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--
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 → 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)))
9.0ms
(/ (neg y) (- (/ t z) a))

series53.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- t (* z a))
23.0ms
(+ (/ x (- t (* z a))) (/ (neg y) (- (/ t z) a)))
13.0ms
(/ x (- t (* z a)))
10.0ms
(/ (neg y) (- (/ t z) a))

simplify47.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
054542222

prune146.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1621163
Fresh055
Picked011
Done011
Total1628170

Merged error: 1.4b

Counts
170 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x (- t (* z a))) (/ -1 (/ (- (/ t z) a) y)))
0.6b
(/ -1 (/ (- (/ t z) a) y))
2.9b
(/ x (- t (* z a)))
5.2b
(/ (- (/ t z) a) y)

rewrite82.0ms

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)))
8.0ms
(/ (- (/ t z) a) y)

series69.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (/ x (- t (* z a))) (/ -1 (/ (- (/ t z) a) y)))
23.0ms
(/ -1 (/ (- (/ t z) a) y))
13.0ms
(/ x (- t (* z a)))
9.0ms
(/ (- (/ t z) a) y)

simplify53.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
050633046

prune183.0ms

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: 1.4b

Counts
211 → 8

regimes501.0ms

Accuracy

93.3% (0.1b remaining)

Error of 1.5b against oracle of 1.4b and baseline of 3.0b

bsearch31.0ms

Steps
ItersRangePoint
5
9.322325819939548
27.053824863423053
10.275809148984232
5
-2.292885570961693e-48
-8.407441993071599e-49
-1.2583693790391414e-48

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08135
18135

end0.0ms

sample1.3s

Algorithm
intervals
Results
267.0ms8000×body80valid

Profiling

Loading profile data...