Details

Time bar (total: 10.1s)

sample244.0ms

Algorithm
intervals
Results
110.0ms1835×body80nan
18.0ms258×body80valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0279
1599
21539
33609
48139
516399
631439
750019

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

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

rewrite36.0ms

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))
7.0ms
(+ (log (+ x y)) (log z))

series109.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- (+ (log (+ x y)) (log z)) t)
53.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
10.0ms
(* (- a 0.5) (log t))
14.0ms
(+ (log (+ x y)) (log z))

simplify64.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06811040
12483977
25001932

prune187.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1068114
Fresh000
Picked101
Done000
Total1078115

Merged error: 0.0b

Counts
115 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
45×*-un-lft-identity
31×log-prod
26×add-sqr-sqrt
21×add-log-exp
20×pow1 associate-*l/ frac-add
18×add-cube-cbrt
16×flip3-- flip--
15×distribute-lft-out
14×log-pow
12×distribute-rgt-in distribute-lft-in associate-*r* sum-log sqrt-prod
10×associate-*l*
add-exp-log add-cbrt-cube
associate-+l+ distribute-lft-out--
flip3-+ flip-+
associate-+r+ diff-log
associate-+l-
+-commutative log-div sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
sub-neg associate--l+
Counts
4 → 137
Calls
4 calls:
19.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (+ (* (- a 0.5) (log (sqrt t))) (* (- a 0.5) (log (sqrt t)))))
9.0ms
(* (- a 0.5) (log (sqrt t)))
8.0ms
(* (- a 0.5) (log (sqrt t)))
6.0ms
(+ (log (+ x y)) (log z))

series95.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (+ (* (- a 0.5) (log (sqrt t))) (* (- a 0.5) (log (sqrt t)))))
7.0ms
(* (- a 0.5) (log (sqrt t)))
7.0ms
(* (- a 0.5) (log (sqrt t)))
14.0ms
(+ (log (+ x y)) (log z))

simplify151.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (133.0ms)

IterNodesCost
08882050
143031740
250011714

prune212.0ms

Filtered
95 candidates to 149 candidates (-56.8%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1454149
Fresh257
Picked011
Done000
Total14710157

Merged error: 0.0b

Counts
157 → 10

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)

rewrite11.0ms

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:
6.0ms
(+ (log (+ x y)) (log z))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series83.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ (log (+ x y)) (log z))
22.0ms
(cbrt t)
22.0ms
(cbrt t)
24.0ms
(cbrt t)

simplify100.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
0214321
1443296
2938255
33244246
45001246

prune124.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New68169
Fresh268
Picked101
Done011
Total71879

Merged error: 0.0b

Counts
79 → 8

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (log (+ x y)) (log z))
0.6b
(cbrt t)
0.6b
(cbrt t)
5.1b
(pow t 1/3)

rewrite12.0ms

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:
6.0ms
(+ (log (+ x y)) (log z))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
2.0ms
(pow t 1/3)

series80.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ (log (+ x y)) (log z))
22.0ms
(cbrt t)
24.0ms
(cbrt t)
20.0ms
(pow t 1/3)

simplify65.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0266322
1713288
22280240
35002240

prune117.0ms

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

regimes958.0ms

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
02817
12817

end0.0ms

sample7.3s

Algorithm
intervals
Results
3.4s56320×body80nan
567.0ms8025×body80valid

Profiling

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