Details

Time bar (total: 11.3s)

analyze2.4s

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

sample85.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
22.0ms272×body80invalid

simplify280.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (278.0ms)

IterNodesCost
0311429
1311429

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: 1.1b

Counts
2 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 18.0 (* y (* z t)))
0.3b
(* j (* 27.0 k))
5.5b
(* y (* z t))
5.9b
(* x (* 18.0 (* y (* z t))))

rewrite29.0ms

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:
6.0ms
(* 18.0 (* y (* z t)))
4.0ms
(* j (* 27.0 k))
5.0ms
(* y (* z t))
12.0ms
(* x (* 18.0 (* y (* z t))))

series27.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* 18.0 (* y (* z t)))
3.0ms
(* j (* 27.0 k))
6.0ms
(* y (* z t))
11.0ms
(* x (* 18.0 (* y (* z t))))

simplify52.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05545670

prune163.0ms

Filtered
47 candidates to 93 candidates (-97.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New831093
Fresh011
Picked101
Done000
Total841195

Merged error: 0.0b

Counts
95 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 18.0 (* (* y z) t))
0.3b
(* j (* 27.0 k))
4.9b
(* (* y z) t)
5.9b
(* x (* 18.0 (* (* y z) t)))

rewrite28.0ms

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

series27.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* 18.0 (* (* y z) t))
3.0ms
(* j (* 27.0 k))
6.0ms
(* (* y z) t)
11.0ms
(* x (* 18.0 (* (* y z) t)))

simplify45.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04997673
14997673

prune150.0ms

Filtered
48 candidates to 93 candidates (-93.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New91293
Fresh2810
Picked101
Done000
Total9410104

Merged error: 0.0b

Counts
104 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* x 18.0) (* (* y z) t)) (- (* b c) (+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i))))))
0.3b
(* j (* 27.0 k))
4.9b
(* (* y z) t)
5.7b
(* (* x 18.0) (* (* y z) t))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
35×pow1 add-exp-log add-cbrt-cube
21×pow-prod-down prod-exp cbrt-unprod
13×add-log-exp
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×associate-*r* associate-*l*
4×sum-log
3×*-commutative
2×diff-log
1×+-commutative associate-+r- sub-neg associate-+r+ flip3-+ flip-+
Counts
4 → 79
Calls
4 calls:
14.0ms
(+ (* (* x 18.0) (* (* y z) t)) (- (* b c) (+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i))))))
4.0ms
(* j (* 27.0 k))
4.0ms
(* (* y z) t)
8.0ms
(* (* x 18.0) (* (* y z) t))

series2.2s

Counts
4 → 12
Calls
4 calls:
2.2s
(+ (* (* x 18.0) (* (* y z) t)) (- (* b c) (+ (* j (* 27.0 k)) (* 4.0 (+ (* t a) (* x i))))))
3.0ms
(* j (* 27.0 k))
8.0ms
(* (* y z) t)
11.0ms
(* (* x 18.0) (* (* y z) t))

simplify61.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
050351101

prune161.0ms

Filtered
47 candidates to 91 candidates (-93.6%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New88391
Fresh279
Picked011
Done000
Total9011101

Merged error: 0.0b

Counts
101 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 18.0 (* y (* z t)))
0.2b
(* (* j 27.0) k)
5.5b
(* y (* z t))
5.9b
(* x (* 18.0 (* y (* z t))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-exp-log add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
10×associate-*l*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×*-commutative add-log-exp
Counts
4 → 81
Calls
4 calls:
8.0ms
(* 18.0 (* y (* z t)))
5.0ms
(* (* j 27.0) k)
5.0ms
(* y (* z t))
9.0ms
(* x (* 18.0 (* y (* z t))))

series26.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* 18.0 (* y (* z t)))
3.0ms
(* (* j 27.0) k)
6.0ms
(* y (* z t))
11.0ms
(* x (* 18.0 (* y (* z t))))

simplify43.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05019671

prune104.0ms

Filtered
47 candidates to 93 candidates (-97.9%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New91293
Fresh189
Picked101
Done011
Total9311104

Merged error: 0.0b

Counts
104 → 11

regimes2.9s

Accuracy

82.3% (1.1b remaining)

Error of 1.5b against oracle of 0.4b and baseline of 6.6b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0262117
1262117

end0.0ms

sample2.3s

Algorithm
intervals
Results
722.0ms8188×body80invalid
702.0ms8000×body80valid

Profiling

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