Details

Time bar (total: 4.2s)

analyze356.0ms

Algorithm
search

sample41.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
8.0ms130×body80nan
0.0msbody80invalid

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

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

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
associate-+r+ log-pow distribute-lft-out
associate-+l+
add-exp-log distribute-rgt-in flip3-- distribute-lft-in associate-*l/ sum-log add-cbrt-cube flip-- distribute-lft-out--
associate-+l- associate-*l*
log-div flip3-+ diff-log associate-*r* frac-add flip-+
+-commutative associate--l- sub-neg associate--l+ difference-of-squares
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 102
Calls
4 calls:
7.0ms
(- (+ (log (+ x y)) (log z)) t)
6.0ms
(* (- a 0.5) (log t))
14.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
7.0ms
(+ (log (+ x y)) (log z))

series104.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- (+ (log (+ x y)) (log z)) t)
12.0ms
(* (- a 0.5) (log t))
48.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
14.0ms
(+ (log (+ x y)) (log z))

simplify62.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06811040
12483977
25001932

prune177.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1077114
Fresh000
Picked101
Done000
Total1087115

Merged error: 0.0b

Counts
115 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
13×pow1
cbrt-prod
add-sqr-sqrt add-cube-cbrt
log-pow distribute-lft-out
log-prod
add-exp-log associate-+l+ add-cbrt-cube add-log-exp
pow1/3
associate-+l- log-div flip3-+ pow-prod-down flip-+
+-commutative associate-+r+ sum-log
Counts
4 → 57
Calls
4 calls:
11.0ms
(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series100.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
23.0ms
(cbrt z)
21.0ms
(cbrt z)
21.0ms
(cbrt z)

simplify45.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
0221414
1508383
21559342
35001335

prune108.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New69069
Fresh066
Picked011
Done000
Total69776

Merged error: 0.0b

Counts
76 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
cbrt-prod add-sqr-sqrt add-cube-cbrt
pow1
log-prod
distribute-lft-out
add-exp-log associate-+l+ log-pow add-cbrt-cube add-log-exp
associate-+r+ pow1/3
associate-+l- log-div flip3-+ flip-+
+-commutative sum-log
Counts
4 → 57
Calls
4 calls:
8.0ms
(+ (log (+ x y)) (log z))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series79.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ (log (+ x y)) (log z))
21.0ms
(cbrt t)
22.0ms
(cbrt t)
22.0ms
(cbrt t)

simplify99.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
0214321
1443296
2938255
33244246
45001246

prune112.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New68169
Fresh145
Picked101
Done011
Total70676

Merged error: 0.0b

Counts
76 → 6

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (log (+ x y)) (log z))
0.6b
(cbrt t)
0.6b
(cbrt t)
4.9b
(pow t 1/3)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
pow1
log-prod
cbrt-prod
add-exp-log distribute-lft-out
associate-+l+ log-pow add-cbrt-cube add-log-exp
unpow-prod-down pow-unpow associate-+r+
associate-+l- log-div flip3-+ pow1/3 flip-+
+-commutative pow-to-exp pow-pow unpow1/3 pow-exp sum-log sqr-pow
Counts
4 → 64
Calls
4 calls:
7.0ms
(+ (log (+ x y)) (log z))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
2.0ms
(pow t 1/3)

series79.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ (log (+ x y)) (log z))
21.0ms
(cbrt t)
23.0ms
(cbrt t)
21.0ms
(pow t 1/3)

simplify66.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0266322
1713288
22280240
35002240

prune115.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh044
Picked011
Done011
Total76682

Merged error: 0.0b

Counts
82 → 6

regimes878.0ms

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
02817
12817

end0.0ms

analyze351.0ms

Algorithm
search

sample1.2s

Algorithm
intervals
Results
576.0ms8000×body80valid
277.0ms4274×body80nan
2.0ms25×body80invalid

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