Details

Time bar (total: 3.9s)

analyze603.0ms

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
16.4%83.4%0.2%9
21.4%78.4%0.2%10
25.1%74.7%0.2%11
28%70.2%1.9%12
39.6%55.8%4.6%13
43.9%50.4%5.8%14

sample21.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms67×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0679
1679

prune10.0ms

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: 0.1b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
7.7b
(* (- y x) (/ z t))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
3.0ms
(+ x (* (- y x) (/ z t)))
8.0ms
(* (- y x) (/ z t))

series22.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ x (* (- y x) (/ z t)))
12.0ms
(* (- y x) (/ z t))

simplify47.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04999557
14999557

prune81.0ms

Filtered
38 candidates to 55 candidates (-44.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New48755
Fresh101
Picked011
Done000
Total49857

Merged error: 0.0b

Counts
57 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
3.6b
(* (* (- y x) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down associate-*l/
4×add-log-exp
3×cbrt-undiv pow1/3 div-exp
2×frac-times flip3-- flip--
1×associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 84
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
15.0ms
(* (* (- y x) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

series82.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt z)
21.0ms
(cbrt z)
21.0ms
(cbrt z)
19.0ms
(* (* (- y x) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

simplify58.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04944738
14944738

prune100.0ms

Filtered
60 candidates to 96 candidates (-60.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New94296
Fresh156
Picked011
Done011
Total959104

Merged error: 0.0b

Counts
104 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

3.6b
(cbrt (/ (cbrt z) t))
3.6b
(cbrt (/ (cbrt z) t))
3.6b
(cbrt (/ (cbrt z) t))
4.2b
(* (- y x) (* (pow (cbrt z) 2) (* (cbrt (/ (cbrt z) t)) (cbrt (/ (cbrt z) t)))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
93×cbrt-prod
54×times-frac
46×add-sqr-sqrt *-un-lft-identity
44×add-cube-cbrt
25×add-exp-log
16×prod-exp
15×cbrt-div associate-*r/
11×add-cbrt-cube
9×frac-times
6×pow1 cbrt-unprod
5×associate-*l* associate-*l/
4×flip3-- flip-- add-log-exp
3×pow1/3 div-inv
2×pow-to-exp pow-exp
1×associate-*r* pow-prod-down *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 129
Calls
4 calls:
3.0ms
(cbrt (/ (cbrt z) t))
3.0ms
(cbrt (/ (cbrt z) t))
3.0ms
(cbrt (/ (cbrt z) t))
19.0ms
(* (- y x) (* (pow (cbrt z) 2) (* (cbrt (/ (cbrt z) t)) (cbrt (/ (cbrt z) t)))))

series175.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (/ (cbrt z) t))
32.0ms
(cbrt (/ (cbrt z) t))
31.0ms
(cbrt (/ (cbrt z) t))
81.0ms
(* (- y x) (* (pow (cbrt z) 2) (* (cbrt (/ (cbrt z) t)) (cbrt (/ (cbrt z) t)))))

simplify72.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049141782
149141782

prune186.0ms

Filtered
106 candidates to 141 candidates (-33.0%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1410141
Fresh066
Picked011
Done022
Total1419150

Merged error: 0.0b

Counts
150 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt z))
0.6b
(cbrt (cbrt z))
0.6b
(cbrt (cbrt z))
3.8b
(* (* (- y x) (* (pow (cbrt z) 2) (* (cbrt (cbrt z)) (cbrt (cbrt z))))) (/ (cbrt (cbrt z)) t))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
72×add-exp-log
54×cbrt-prod
48×prod-exp
31×associate-*r*
29×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
28×add-cbrt-cube
27×times-frac
20×cbrt-unprod
9×pow1
8×div-exp
6×associate-*l/
4×cbrt-undiv pow-to-exp pow-exp add-log-exp
3×pow1/3 pow-prod-down
2×frac-times flip3-- flip--
1×associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 113
Calls
4 calls:
2.0ms
(cbrt (cbrt z))
1.0ms
(cbrt (cbrt z))
1.0ms
(cbrt (cbrt z))
20.0ms
(* (* (- y x) (* (pow (cbrt z) 2) (* (cbrt (cbrt z)) (cbrt (cbrt z))))) (/ (cbrt (cbrt z)) t))

series103.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (cbrt z))
28.0ms
(cbrt (cbrt z))
31.0ms
(cbrt (cbrt z))
16.0ms
(* (* (- y x) (* (pow (cbrt z) 2) (* (cbrt (cbrt z)) (cbrt (cbrt z))))) (/ (cbrt (cbrt z)) t))

simplify68.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049341225
149341225

prune123.0ms

Filtered
81 candidates to 125 candidates (-54.3%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1241125
Fresh055
Picked011
Done033
Total12410134

Merged error: 0.0b

Counts
134 → 10

regimes337.0ms

Accuracy

13.4% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.0b

bsearch475.0ms

Steps
ItersRangePoint
9
2.0963310610740952e-59
7.988886746257704e-54
9.934223099722942e-57

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03048
13048

end0.0ms

analyze604.0ms

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
16.4%83.4%0.2%9
21.4%78.4%0.2%10
25.1%74.7%0.2%11
28%70.2%1.9%12
39.6%55.8%4.6%13
43.9%50.4%5.8%14

sample539.0ms

Algorithm
intervals
Results
243.0ms8000×body80valid
64.0ms2154×body80invalid

Profiling

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