Details

Time bar (total: 4.2s)

analyze898.0ms

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

sample40.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
3.0ms55×body80nan
2.0ms43×body80invalid

simplify212.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (210.0ms)

IterNodesCost
0371716
1371716

prune14.0ms

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

localize14.0ms

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)))
0.2b
(* 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)
11.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
9.0ms
(- (+ (+ x y) z) (* z (log t)))
4.0ms
(* z (log t))

series62.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (- a 0.5) b)
37.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
13.0ms
(- (+ (+ x y) z) (* z (log t)))
7.0ms
(* z (log t))

simplify42.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049981309
149981309

prune140.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New946100
Fresh011
Picked101
Done000
Total957102

Merged error: 0.0b

Counts
102 → 7

localize13.0ms

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) (* z (log t)))
0.1b
(+ z (- (* (- a 0.5) b) (* z (log t))))
0.2b
(* z (log t))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
17×*-un-lft-identity
12×add-sqr-sqrt log-prod
10×add-cube-cbrt
7×pow1 sum-log
6×add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube associate--r+
4×associate-*r* distribute-lft-out
3×associate-+r- diff-log associate-*l*
2×+-commutative sub-neg associate-+r+ flip3-+ flip-+
1×flip3-- pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod unswap-sqr
Counts
4 → 74
Calls
4 calls:
9.0ms
(+ y (+ z (- (* (- a 0.5) b) (* z (log t)))))
7.0ms
(- (* (- a 0.5) b) (* z (log t)))
7.0ms
(+ z (- (* (- a 0.5) b) (* z (log t))))
5.0ms
(* z (log t))

series57.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ y (+ z (- (* (- a 0.5) b) (* z (log t)))))
12.0ms
(- (* (- a 0.5) b) (* z (log t)))
16.0ms
(+ z (- (* (- a 0.5) b) (* z (log t))))
7.0ms
(* z (log t))

simplify40.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
050221065

prune134.0ms

Filtered
61 candidates to 86 candidates (-41.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New85186
Fresh156
Picked011
Done000
Total86793

Merged error: 0.0b

Counts
93 → 7

localize22.0ms

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)

series83.0ms

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

simplify62.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05021903

prune122.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1044108
Fresh325
Picked101
Done011
Total1087115

Merged error: 0b

Counts
115 → 7

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (cbrt t))
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 47
Calls
4 calls:
1.0ms
(cbrt (cbrt t))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series93.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (cbrt t))
24.0ms
(cbrt t)
20.0ms
(cbrt t)
21.0ms
(cbrt t)

simplify34.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
04926241
14926241

prune79.0ms

Filtered
43 candidates to 59 candidates (-37.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh055
Picked011
Done011
Total59766

Merged error: 0b

Counts
66 → 7

regimes917.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05416
15416

end0.0ms

sample976.0ms

Algorithm
intervals
Results
479.0ms7997×body80valid
73.0ms1230×body80invalid
61.0ms1187×body80nan
0.0ms2×body320valid
0.0ms1×body640valid

Profiling

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