Details

Time bar (total: 24.9s)

analyze2.2s

Algorithm
search
Search
TrueOtherFalseIter
0%99.5%0.5%0
0%99.5%0.5%1
0%99.5%0.5%2
0%99.5%0.5%3
0%99.5%0.5%4
0%99.5%0.5%5
0%99.5%0.5%6
0%99.5%0.5%7
0%99.5%0.5%8
0%99.5%0.5%9
0%99.5%0.5%10
0%99.5%0.5%11
0%99.5%0.5%12
0%99.5%0.5%13
0%99.5%0.5%14

sample77.0ms

Algorithm
intervals
Results
22.0ms260×body80invalid
21.0ms256×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
049429
149429

prune20.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.2b
(* (* j 27.0) k)
4.5b
(* (* (* x 18.0) y) z)
5.9b
(* (* (* (* x 18.0) y) z) t)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-exp-log add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
12×associate-*r*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-*l* *-commutative add-log-exp
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (* x 18.0) y)
4.0ms
(* (* j 27.0) k)
6.0ms
(* (* (* x 18.0) y) z)
9.0ms
(* (* (* (* x 18.0) y) z) t)

series27.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* x 18.0) y)
3.0ms
(* (* j 27.0) k)
7.0ms
(* (* (* x 18.0) y) z)
14.0ms
(* (* (* (* x 18.0) y) z) t)

simplify47.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05551678

prune152.0ms

Filtered
52 candidates to 93 candidates (-78.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New88593
Fresh011
Picked101
Done000
Total89695

Merged error: 0.0b

Counts
95 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
0.2b
(* (* j 27.0) k)
4.9b
(* (* x 18.0) (* y z))
5.9b
(* (* (* x 18.0) (* y z)) t)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
39×pow1 add-exp-log add-cbrt-cube
24×pow-prod-down prod-exp cbrt-unprod
18×add-log-exp
8×diff-log
7×associate-*r*
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×associate-*l* associate--l+ *-commutative
2×sub-neg sum-log
1×associate--l- flip3-- flip--
Counts
4 → 84
Calls
4 calls:
14.0ms
(- (- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
4.0ms
(* (* j 27.0) k)
6.0ms
(* (* x 18.0) (* y z))
9.0ms
(* (* (* x 18.0) (* y z)) t)

series2.3s

Counts
4 → 12
Calls
4 calls:
2.3s
(- (- (+ (- (* (* (* x 18.0) (* y z)) t) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
3.0ms
(* (* j 27.0) k)
7.0ms
(* (* x 18.0) (* y z))
13.0ms
(* (* (* x 18.0) (* y z)) t)

simplify34.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
050481206

prune156.0ms

Filtered
52 candidates to 96 candidates (-84.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New94296
Fresh055
Picked011
Done000
Total948102

Merged error: 0.0b

Counts
102 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt k)
0.6b
(cbrt k)
4.5b
(* (* (* x 18.0) y) z)
5.9b
(* (* (* (* x 18.0) y) z) t)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
27×pow1 add-exp-log add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod associate-*r*
4×add-log-exp
2×pow1/3 associate-*l* *-commutative
Counts
4 → 67
Calls
4 calls:
1.0ms
(cbrt k)
1.0ms
(cbrt k)
7.0ms
(* (* (* x 18.0) y) z)
11.0ms
(* (* (* (* x 18.0) y) z) t)

series61.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt k)
22.0ms
(cbrt k)
7.0ms
(* (* (* x 18.0) y) z)
11.0ms
(* (* (* (* x 18.0) y) z) t)

simplify53.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04951534
14951534

prune152.0ms

Filtered
49 candidates to 79 candidates (-61.2%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New77279
Fresh066
Picked011
Done011
Total771087

Merged error: 0.0b

Counts
87 → 10

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* j (* 27.0 k))
0.2b
(* 18.0 (* y (* z t)))
4.7b
(* x (* 18.0 (* y (* z t))))
6.0b
(* y (* z t))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-exp-log add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
12×associate-*l*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-*r* *-commutative add-log-exp
Counts
4 → 81
Calls
4 calls:
4.0ms
(* j (* 27.0 k))
6.0ms
(* 18.0 (* y (* z t)))
9.0ms
(* x (* 18.0 (* y (* z t))))
5.0ms
(* y (* z t))

series28.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* j (* 27.0 k))
7.0ms
(* 18.0 (* y (* z t)))
12.0ms
(* x (* 18.0 (* y (* z t))))
6.0ms
(* y (* z t))

simplify51.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05545670

prune98.0ms

Filtered
53 candidates to 93 candidates (-75.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New91293
Fresh167
Picked101
Done022
Total9310103

Merged error: 0.0b

Counts
103 → 10

regimes2.9s

Accuracy

64.3% (2.0b remaining)

Error of 2.4b against oracle of 0.3b and baseline of 6.1b

bsearch11.8s

Steps
ItersRangePoint
9
2.337172164506063e+18
9.572792272138501e+25
3.8491752161081206e+21
9
-4.1765403253586265e+129
-1.0267403942708938e+121
-2.334183086254314e+121

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078108
178108

end0.0ms

analyze2.2s

Algorithm
search
Search
TrueOtherFalseIter
0%99.5%0.5%0
0%99.5%0.5%1
0%99.5%0.5%2
0%99.5%0.5%3
0%99.5%0.5%4
0%99.5%0.5%5
0%99.5%0.5%6
0%99.5%0.5%7
0%99.5%0.5%8
0%99.5%0.5%9
0%99.5%0.5%10
0%99.5%0.5%11
0%99.5%0.5%12
0%99.5%0.5%13
0%99.5%0.5%14

sample2.3s

Algorithm
intervals
Results
726.0ms8245×body80invalid
707.0ms8000×body80valid

Profiling

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