Details

Time bar (total: 8.3s)

sample183.0ms

Algorithm
intervals
Results
85.0ms1336×body80nan
18.0ms256×body80valid

simplify56.0ms

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

localize17.0ms

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)))
0.1b
(* (- 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
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)
12.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
7.0ms
(* (- a 0.5) (log t))
6.0ms
(+ (log (+ x y)) (log z))

series107.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- (+ (log (+ x y)) (log z)) t)
53.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
9.0ms
(* (- a 0.5) (log t))
14.0ms
(+ (log (+ x y)) (log z))

simplify62.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06811040
12483977
25001932

prune199.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New10311114
Fresh000
Picked101
Done000
Total10411115

Merged error: 0.0b

Counts
115 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b
(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.6b
(+ (log (+ x y)) (log z))
0.7b
(cbrt t)
0.7b
(cbrt t)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
43×log-prod
30×distribute-rgt-in distribute-lft-in
28×associate-+l+
26×*-un-lft-identity
24×cbrt-prod
20×add-sqr-sqrt add-cube-cbrt
15×associate-+r+
pow1 associate-*l/
distribute-lft-out add-log-exp
add-exp-log flip3-- frac-add log-pow add-cbrt-cube flip--
flip3-+ flip-+
+-commutative associate-+l- log-div pow1/3 sum-log
Counts
4 → 98
Calls
4 calls:
15.0ms
(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
6.0ms
(+ (log (+ x y)) (log z))
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series95.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
14.0ms
(+ (log (+ x y)) (log z))
22.0ms
(cbrt t)
21.0ms
(cbrt t)

simplify58.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0637941
12068825
25001778

prune215.0ms

Filtered
95 candidates to 110 candidates (-15.8%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1064110
Fresh3710
Picked101
Done000
Total11011121

Merged error: 0.0b

Counts
121 → 11

localize30.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt t)
0.7b
(cbrt t)
0.7b
(cbrt t)
0.7b
(cbrt t)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series88.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t)
22.0ms
(cbrt t)
22.0ms
(cbrt t)
23.0ms
(cbrt t)

simplify122.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (23.0ms)

IterNodesCost
059204
1101188
2205148
3559144
42707128
55001128

prune135.0ms

Filtered
44 candidates to 56 candidates (-27.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New55156
Fresh1910
Picked101
Done000
Total571067

Merged error: 0b

Counts
67 → 10

localize36.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt t)
0.7b
(cbrt t)
0.7b
(cbrt t)
4.9b
(pow t 1/3)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log
add-cbrt-cube add-log-exp
unpow-prod-down pow-unpow pow1/3
pow-to-exp pow-pow unpow1/3 pow-exp sqr-pow
Counts
4 → 51
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
2.0ms
(pow t 1/3)

series85.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t)
21.0ms
(cbrt t)
23.0ms
(cbrt t)
19.0ms
(pow t 1/3)

simplify49.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0112202
1358174
21387129
35002129

prune112.0ms

Filtered
45 candidates to 63 candidates (-40.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New63063
Fresh099
Picked011
Done000
Total631073

Merged error: 0b

Counts
73 → 10

regimes1.2s

Accuracy

0% (0.3b 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
03623
13623

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.7s42725×body80nan
584.0ms8033×body80valid

Profiling

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