Details

Time bar (total: 5.3s)

analyze943.0ms

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

sample34.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
2.0ms42×body80nan
2.0ms33×body80invalid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0308
1858
22738
38008
421238
550018

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize16.0ms

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))

rewrite31.0ms

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
3×associate-+l+
2×sub-neg 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 → 90
Calls
4 calls:
6.0ms
(* (- a 0.5) b)
11.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
8.0ms
(- (+ (+ x y) z) (* z (log t)))
4.0ms
(* z (log t))

series62.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (- a 0.5) b)
37.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
11.0ms
(- (+ (+ x y) z) (* z (log t)))
7.0ms
(* z (log t))

simplify84.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0557780
12647719
25002707

prune156.0ms

Filtered
72 candidates to 102 candidates (-41.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New993102
Fresh000
Picked101
Done000
Total1003103

Merged error: 0.0b

Counts
103 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- a 0.5) b)
0.0b
(+ (+ x y) (- z (* z (log t))))
0.2b
(* z (log t))
0.2b
(- z (* z (log t)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×add-sqr-sqrt add-log-exp
12×add-cube-cbrt log-prod
9×pow1
8×add-exp-log associate-*l* add-cbrt-cube
7×associate-*r*
6×distribute-rgt-in distribute-lft-in sum-log associate--r+
4×flip3-- frac-add flip--
3×flip3-+ diff-log flip-+ distribute-lft-out
2×sub-neg associate-+r+ pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative associate-+r- associate-+l+ log-pow distribute-lft-out-- difference-of-squares
Counts
4 → 89
Calls
4 calls:
6.0ms
(* (- a 0.5) b)
7.0ms
(+ (+ x y) (- z (* z (log t))))
4.0ms
(* z (log t))
3.0ms
(- z (* z (log t)))

series39.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (- a 0.5) b)
14.0ms
(+ (+ x y) (- z (* z (log t))))
9.0ms
(* z (log t))
9.0ms
(- z (* z (log t)))

simplify192.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (182.0ms)

IterNodesCost
0537597
12240554
25003529

prune114.0ms

Filtered
66 candidates to 101 candidates (-53.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1010101
Fresh022
Picked011
Done000
Total1013104

Merged error: 0.0b

Counts
104 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt t) (cbrt t))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series92.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt t) (cbrt t))
24.0ms
(cbrt t)
22.0ms
(cbrt t)
22.0ms
(cbrt t)

simplify72.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune92.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done011
Total85388

Merged error: 0.0b

Counts
88 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* z (log (cbrt t)))
0.3b
(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
5.0ms
(* z (log (cbrt t)))
9.0ms
(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series87.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* z (log (cbrt t)))
21.0ms
(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
22.0ms
(cbrt t)
24.0ms
(cbrt t)

simplify47.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0358765
11328673
25002593

prune123.0ms

Filtered
86 candidates to 114 candidates (-32.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1131114
Fresh000
Picked011
Done022
Total1134117

Merged error: 0b

Counts
117 → 4

regimes931.0ms

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 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

analyze981.0ms

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

sample1.0s

Algorithm
intervals
Results
521.0ms7997×body80valid
69.0ms1136×body80invalid
62.0ms1112×body80nan
0.0ms1×body1280valid
0.0ms1×body320valid
0.0ms1×body160valid

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