Details

Time bar (total: 5.3s)

analyze902.0ms

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

sample71.0ms

Algorithm
intervals
Results
16.0ms255×body80valid
0.0ms1×body2560valid

simplify216.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (214.0ms)

IterNodesCost
0371716
1371716

prune16.0ms

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

localize13.0ms

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))

rewrite33.0ms

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)
12.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
9.0ms
(- (+ (+ x y) z) (* z (log t)))
4.0ms
(* z (log t))

series64.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (- a 0.5) b)
39.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
11.0ms
(- (+ (+ x y) z) (* z (log t)))
9.0ms
(* z (log t))

simplify43.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049981309
149981309

prune163.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New937100
Fresh011
Picked101
Done000
Total948102

Merged error: 0.0b

Counts
102 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
32×add-log-exp
24×*-un-lft-identity
16×sum-log
10×add-sqr-sqrt distribute-lft-out
8×add-cube-cbrt
7×pow1
6×add-exp-log associate-+r- log-prod add-cbrt-cube
4×associate-*r*
3×+-commutative distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ diff-log associate-*l* flip-+
1×sub-neg pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
Counts
4 → 76
Calls
4 calls:
12.0ms
(+ x (+ y (+ z (- (* (- a 0.5) b) (* z (log t))))))
11.0ms
(+ y (+ z (- (* (- a 0.5) b) (* z (log t)))))
7.0ms
(+ z (- (* (- a 0.5) b) (* z (log t))))
5.0ms
(* z (log t))

series84.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ x (+ y (+ z (- (* (- a 0.5) b) (* z (log t))))))
23.0ms
(+ y (+ z (- (* (- a 0.5) b) (* z (log t)))))
15.0ms
(+ z (- (* (- a 0.5) b) (* z (log t))))
8.0ms
(* z (log t))

simplify42.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
051441193

prune124.0ms

Filtered
61 candidates to 88 candidates (-44.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New87188
Fresh257
Picked011
Done000
Total89796

Merged error: 0.0b

Counts
96 → 7

localize19.0ms

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)

series87.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* z (log (cbrt t)))
21.0ms
(* z (* -2 (log (cbrt t))))
22.0ms
(cbrt t)
24.0ms
(cbrt t)

simplify64.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05021903

prune125.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1071108
Fresh145
Picked101
Done011
Total1096115

Merged error: 0.0b

Counts
115 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×pow1
14×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
12×log-prod
10×associate-*l*
9×cbrt-prod associate-*r*
6×distribute-rgt-in distribute-lft-in
5×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×log-pow *-commutative
2×pow1/3 unswap-sqr
Counts
4 → 80
Calls
4 calls:
5.0ms
(* z (log (cbrt t)))
5.0ms
(* z (* (log t) -2/3))
4.0ms
(* (log t) -2/3)
1.0ms
(cbrt t)

series66.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* z (log (cbrt t)))
8.0ms
(* z (* (log t) -2/3))
13.0ms
(* (log t) -2/3)
25.0ms
(cbrt t)

simplify85.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
04849579
14849579

prune97.0ms

Filtered
58 candidates to 92 candidates (-58.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh044
Picked011
Done011
Total92698

Merged error: 0.0b

Counts
98 → 6

regimes1.1s

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
05416
15416

end0.0ms

sample1.8s

Algorithm
intervals
Results
419.0ms7998×body80valid
0.0ms1×body2560valid
0.0ms1×body1280valid

Profiling

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