Details

Time bar (total: 3.1s)

analyze835.0ms

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

sample22.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms18×body80invalid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (112.0ms)

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: 11.2b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* y z))
10.9b
(/ (- x (* y z)) (- t (* a z)))

rewrite10.0ms

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

series31.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(- x (* y z))
24.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05427646

prune81.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New42749
Fresh000
Picked101
Done000
Total43750

Merged error: 6.5b

Counts
50 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* z a))) (* y (/ z (- t (* z a)))))
3.4b
(* y (/ z (- t (* z a))))
3.8b
(/ x (- t (* z a)))
8.9b
(/ z (- t (* z a)))

rewrite30.0ms

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)))))
9.0ms
(* y (/ z (- t (* z a))))
4.0ms
(/ x (- t (* z a)))
6.0ms
(/ z (- t (* z a)))

series76.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- (/ x (- t (* z a))) (* y (/ z (- t (* z a)))))
23.0ms
(* y (/ z (- t (* z a))))
12.0ms
(/ x (- t (* z a)))
11.0ms
(/ z (- t (* z a)))

simplify57.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
057971302

prune145.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1134117
Fresh336
Picked011
Done000
Total1168124

Merged error: 2.8b

Counts
124 → 8

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)))
3.5b
(/ (neg y) (- (/ t z) a))
3.8b
(/ x (- t (* z a)))

rewrite84.0ms

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*
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 → 154
Calls
4 calls:
7.0ms
(- (/ t z) a)
52.0ms
(+ (/ x (- t (* z a))) (/ (neg y) (- (/ t z) a)))
11.0ms
(/ (neg y) (- (/ t z) a))
4.0ms
(/ x (- t (* z a)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (/ t z) a)
24.0ms
(+ (/ x (- t (* z a))) (/ (neg y) (- (/ t z) a)))
11.0ms
(/ (neg y) (- (/ t z) a))
11.0ms
(/ x (- t (* z a)))

simplify48.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
055782259

prune146.0ms

Filtered
117 candidates to 166 candidates (-41.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1642166
Fresh156
Picked011
Done011
Total1659174

Merged error: 2.8b

Counts
174 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.4b
(/ 1 (- t (* z a)))
10.6b
(* (- x (* y z)) (/ 1 (- t (* z a))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
pow1
flip3-- flip-- add-log-exp
div-exp prod-exp associate-/r/
associate-*l* associate-/r* associate-/l* unswap-sqr
cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 86
Calls
3 calls:
3.0ms
(- x (* y z))
5.0ms
(/ 1 (- t (* z a)))
10.0ms
(* (- x (* y z)) (/ 1 (- t (* z a))))

series39.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- x (* y z))
13.0ms
(/ 1 (- t (* z a)))
20.0ms
(* (- x (* y z)) (/ 1 (- t (* z a))))

simplify45.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
057361043

prune76.0ms

Filtered
62 candidates to 95 candidates (-53.2%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New94195
Fresh066
Picked011
Done022
Total9410104

Merged error: 2.8b

Counts
104 → 10

regimes498.0ms

Accuracy

77.7% (0.3b remaining)

Error of 1.9b against oracle of 1.6b and baseline of 3.0b

bsearch21.0ms

Steps
ItersRangePoint
8
6.653105490520594e-99
1.7450375364100872e-94
1.787817391526903e-96
2
-2.0034838894817618e+20
-1.703400428316683e+20
-1.7409108609623183e+20

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08437
18437

end0.0ms

sample574.0ms

Algorithm
intervals
Results
302.0ms8000×body80valid
24.0ms696×body80invalid

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