Details

Time bar (total: 4.6s)

analyze390.0ms

Algorithm
search

sample40.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
7.0ms109×body80nan

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0279
1599
21539
33609
48139
516399
631439
750019

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (log (+ x y)) (log z)) t)
0.1b
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.2b
(* (- a 0.5) (log t))
0.6b
(+ (log (+ x y)) (log z))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
19×log-prod
18×add-sqr-sqrt
15×pow1
14×add-log-exp
12×add-cube-cbrt
9×associate-+r+ log-pow distribute-lft-out
7×associate-+l+
6×add-exp-log distribute-rgt-in flip3-- distribute-lft-in associate-*l/ sum-log add-cbrt-cube flip-- distribute-lft-out--
5×associate-+l- associate-*l*
4×log-div flip3-+ diff-log associate-*r* frac-add flip-+
2×+-commutative associate--l- sub-neg associate--l+ difference-of-squares
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 102
Calls
4 calls:
7.0ms
(- (+ (log (+ x y)) (log z)) t)
13.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
6.0ms
(* (- a 0.5) (log t))
6.0ms
(+ (log (+ x y)) (log z))

series103.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- (+ (log (+ x y)) (log z)) t)
48.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
9.0ms
(* (- a 0.5) (log t))
13.0ms
(+ (log (+ x y)) (log z))

simplify60.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
06811040
12483977
25001932

prune172.0ms

Filtered
80 candidates to 114 candidates (-42.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New10410114
Fresh000
Picked101
Done000
Total10510115

Merged error: 0.0b

Counts
115 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log z) t)
0.1b
(+ (- (log z) t) (* (- a 0.5) (log t)))
0.2b
(* (- a 0.5) (log t))
0.2b
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
22×log-prod
19×add-sqr-sqrt
14×add-log-exp
13×add-cube-cbrt
9×pow1 associate-+l+
7×associate-+r+ sum-log
6×add-exp-log distribute-rgt-in flip3-- distribute-lft-in associate-*l/ associate--l+ add-cbrt-cube flip--
5×associate-*l*
4×associate-+l- associate-*r* frac-add
3×flip3-+ diff-log log-pow flip-+ distribute-lft-out distribute-lft-out--
2×+-commutative sub-neg log-div difference-of-squares
1×associate-+r- pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 98
Calls
4 calls:
4.0ms
(- (log z) t)
8.0ms
(+ (- (log z) t) (* (- a 0.5) (log t)))
6.0ms
(* (- a 0.5) (log t))
12.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

series88.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (log z) t)
22.0ms
(+ (- (log z) t) (* (- a 0.5) (log t)))
9.0ms
(* (- a 0.5) (log t))
48.0ms
(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

simplify60.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0714955
12569887
25002837

prune154.0ms

Filtered
79 candidates to 110 candidates (-39.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1091110
Fresh369
Picked011
Done000
Total1128120

Merged error: 0.0b

Counts
120 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(+ (log (+ x y)) (log z))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
9×cbrt-prod add-sqr-sqrt add-cube-cbrt
8×pow1
7×log-prod
5×distribute-lft-out
4×add-exp-log associate-+l+ log-pow add-cbrt-cube add-log-exp
3×associate-+r+ pow1/3
2×associate-+l- log-div flip3-+ flip-+
1×+-commutative sum-log
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
6.0ms
(+ (log (+ x y)) (log z))

series76.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt t)
22.0ms
(cbrt t)
20.0ms
(cbrt t)
14.0ms
(+ (log (+ x y)) (log z))

simplify95.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (24.0ms)

IterNodesCost
0214321
1443296
2938255
33244246
45001246

prune121.0ms

Filtered
52 candidates to 69 candidates (-32.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New68169
Fresh066
Picked101
Done011
Total69877

Merged error: 0.0b

Counts
77 → 8

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(+ (log (+ x y)) (log z))
5.0b
(pow t 1/3)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
9×pow1
7×log-prod
6×cbrt-prod
5×add-exp-log distribute-lft-out
4×associate-+l+ log-pow add-cbrt-cube add-log-exp
3×unpow-prod-down pow-unpow associate-+r+
2×associate-+l- log-div flip3-+ pow1/3 flip-+
1×+-commutative pow-to-exp pow-pow unpow1/3 pow-exp sum-log sqr-pow
Counts
4 → 64
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
8.0ms
(+ (log (+ x y)) (log z))
2.0ms
(pow t 1/3)

series74.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt t)
20.0ms
(cbrt t)
14.0ms
(+ (log (+ x y)) (log z))
19.0ms
(pow t 1/3)

simplify66.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0266322
1713288
22280240
35002240

prune113.0ms

Filtered
54 candidates to 76 candidates (-40.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh066
Picked011
Done011
Total76884

Merged error: 0.0b

Counts
84 → 8

regimes1.1s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199
1199

end0.0ms

analyze378.0ms

Algorithm
search

sample1.3s

Algorithm
intervals
Results
622.0ms8000×body80valid
285.0ms4294×body80nan
2.0ms30×body80invalid

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