Details

Time bar (total: 4.6s)

analyze899.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%74.8%25.2%5
0%74.8%25.2%6
0%74.8%25.2%7
0%74.8%25.2%8
0%74.8%25.2%9
0%62.3%37.7%10
0%56.1%43.9%11
0%56.1%43.9%12
1.6%54.5%43.9%13
2.4%53.7%43.9%14

sample38.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
2.0ms43×body80invalid
2.0ms33×body80nan

simplify223.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (221.0ms)

IterNodesCost
0371716
1371716

prune15.0ms

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

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- a 0.5) b)
0.0b
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.1b
(- (+ (+ x y) z) (* z (log t)))
0.3b
(* z (log t))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
27×add-log-exp
18×add-sqr-sqrt
14×*-un-lft-identity
12×add-cube-cbrt log-prod
10×sum-log
9×pow1
8×add-exp-log associate-*l* add-cbrt-cube
7×associate-*r*
6×distribute-rgt-in flip3-- distribute-lft-in diff-log associate-*l/ flip-- associate--r+
4×frac-add
2×sub-neg associate-+l+ pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod unswap-sqr
1×+-commutative associate-+l- flip3-+ log-pow flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 88
Calls
4 calls:
6.0ms
(* (- a 0.5) b)
13.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
9.0ms
(- (+ (+ x y) z) (* z (log t)))
4.0ms
(* z (log t))

series59.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (- a 0.5) b)
38.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
11.0ms
(- (+ (+ x y) z) (* z (log t)))
7.0ms
(* z (log t))

simplify42.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
049981309
149981309

prune153.0ms

Filtered
71 candidates to 100 candidates (-40.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New928100
Fresh011
Picked101
Done000
Total939102

Merged error: 0.0b

Counts
102 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (+ z (- (* (- a 0.5) b) (* z (log t)))))
0.0b
(* (- a 0.5) b)
0.1b
(+ z (- (* (- a 0.5) b) (* z (log t))))
0.3b
(* z (log t))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×add-log-exp
16×add-sqr-sqrt
10×add-cube-cbrt
9×pow1
8×add-exp-log associate-*l* add-cbrt-cube
7×associate-*r* sum-log
6×log-prod
4×distribute-lft-out
3×distribute-rgt-in associate-+r- distribute-lft-in
2×+-commutative associate-+r+ flip3-+ diff-log pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
1×sub-neg flip3-- log-pow flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 79
Calls
4 calls:
9.0ms
(+ y (+ z (- (* (- a 0.5) b) (* z (log t)))))
6.0ms
(* (- a 0.5) b)
7.0ms
(+ z (- (* (- a 0.5) b) (* z (log t))))
4.0ms
(* z (log t))

series48.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ y (+ z (- (* (- a 0.5) b) (* z (log t)))))
4.0ms
(* (- a 0.5) b)
15.0ms
(+ z (- (* (- a 0.5) b) (* z (log t))))
7.0ms
(* z (log t))

simplify52.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04964933
14964933

prune122.0ms

Filtered
59 candidates to 91 candidates (-54.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New91091
Fresh088
Picked011
Done000
Total919100

Merged error: 0.0b

Counts
100 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (log (cbrt t)))
0.2b
(* z (* -2 (log (cbrt t))))
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
24×cbrt-prod
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
12×pow1
11×add-exp-log add-cbrt-cube
6×associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×log-pow *-commutative
1×unswap-sqr
Counts
4 → 96
Calls
4 calls:
5.0ms
(* z (log (cbrt t)))
6.0ms
(* z (* -2 (log (cbrt t))))
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series82.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* z (log (cbrt t)))
20.0ms
(* z (* -2 (log (cbrt t))))
20.0ms
(cbrt t)
23.0ms
(cbrt t)

simplify62.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05021903

prune131.0ms

Filtered
60 candidates to 108 candidates (-80.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1062108
Fresh167
Picked101
Done011
Total1089117

Merged error: 0.0b

Counts
117 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (* -2 (log (cbrt t))))
0.4b
(* z 1/3)
0.4b
(* (* z 1/3) (log t))
0.6b
(cbrt t)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
30×log-prod
27×distribute-rgt-in distribute-lft-in
21×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
17×pow1
16×add-exp-log add-cbrt-cube
15×cbrt-prod
8×associate-*r*
7×associate-*l* pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×*-commutative
1×pow1/3 log-pow unswap-sqr
Counts
4 → 96
Calls
4 calls:
6.0ms
(* z (* -2 (log (cbrt t))))
3.0ms
(* z 1/3)
5.0ms
(* (* z 1/3) (log t))
1.0ms
(cbrt t)

series53.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* z (* -2 (log (cbrt t))))
2.0ms
(* z 1/3)
8.0ms
(* (* z 1/3) (log t))
23.0ms
(cbrt t)

simplify67.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04885857
14885857

prune90.0ms

Filtered
57 candidates to 108 candidates (-89.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh077
Picked011
Done011
Total1089117

Merged error: 0.0b

Counts
117 → 9

regimes1.3s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08226
18226

end0.0ms

sample929.0ms

Algorithm
intervals
Results
459.0ms7994×body80valid
69.0ms1209×body80invalid
53.0ms1125×body80nan
1.0ms4×body640valid
0.0ms2×body320valid

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