Details

Time bar (total: 2.9s)

analyze228.0ms

Algorithm
search

sample22.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
0.0msbody80invalid

simplify138.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0216
1616
21926
36496
416026
527206
636676
743876
847116
949386
1050026

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
19×*-un-lft-identity
14×add-sqr-sqrt
12×log-prod
10×add-cube-cbrt
pow1
add-exp-log distribute-rgt-in distribute-lft-in diff-log add-cbrt-cube associate--r+
associate-*r* associate-*l* sum-log
sub-neg distribute-lft-out
associate-+l- associate-+l+ flip3-- flip3-+ associate-*l/ flip-- flip-+ distribute-lft-out--
+-commutative associate--l- pow-prod-down prod-exp associate--l+ log-pow *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 81
Calls
4 calls:
7.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
3.0ms
(- x (* (+ y 0.5) (log y)))
5.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
6.0ms
(* (+ y 0.5) (log y))

series58.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
9.0ms
(- x (* (+ y 0.5) (log y)))
11.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
20.0ms
(* (+ y 0.5) (log y))

simplify48.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0475684
11731613
25002594

prune121.0ms

Filtered
67 candidates to 93 candidates (-38.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New88593
Fresh000
Picked011
Done000
Total88694

Merged error: 0.0b

Counts
94 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
49×distribute-rgt-in distribute-lft-in
48×log-prod
30×cbrt-prod
25×*-un-lft-identity
24×associate-+l+
23×add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log add-cbrt-cube
flip3-+ associate-*l/ flip-+ add-log-exp
associate-*r/ associate-*l* frac-add
pow-prod-down prod-exp cbrt-unprod
associate-+r+ pow1/3
+-commutative associate-*r* sum-log *-commutative distribute-lft-out
Counts
4 → 108
Calls
4 calls:
8.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
13.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series212.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
108.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
21.0ms
(cbrt y)
22.0ms
(cbrt y)

simplify73.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06921152
124321025
25003966

prune160.0ms

Filtered
87 candidates to 120 candidates (-37.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1173120
Fresh224
Picked011
Done011
Total1197126

Merged error: 0b

Counts
126 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (log (cbrt y)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
0.2b
(* (log (cbrt y)) (+ y (* (+ y 0.5) 2)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1
add-exp-log cbrt-prod add-cbrt-cube add-log-exp
associate-*l*
pow1/3 associate-*r*
distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ log-pow flip-+
+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
4 → 60
Calls
4 calls:
6.0ms
(+ (* (log (cbrt y)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
5.0ms
(* (log (cbrt y)) (+ y (* (+ y 0.5) 2)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series208.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(+ (* (log (cbrt y)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
61.0ms
(* (log (cbrt y)) (+ y (* (+ y 0.5) 2)))
21.0ms
(cbrt y)
21.0ms
(cbrt y)

simplify48.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0371570
11416499
25002438

prune105.0ms

Filtered
54 candidates to 72 candidates (-33.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh044
Picked011
Done022
Total72779

Merged error: 0b

Counts
79 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(* (cbrt y) (cbrt y))
0.6b
(cbrt (cbrt y))
0.6b
(cbrt (* (cbrt y) (cbrt y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt y)
6.0ms
(* (cbrt y) (cbrt y))
2.0ms
(cbrt (cbrt y))
4.0ms
(cbrt (* (cbrt y) (cbrt y)))

series111.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
24.0ms
(* (cbrt y) (cbrt y))
29.0ms
(cbrt (cbrt y))
36.0ms
(cbrt (* (cbrt y) (cbrt y)))

simplify88.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0213411
1616381
22725316
35001301

prune113.0ms

Filtered
59 candidates to 86 candidates (-45.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New85186
Fresh123
Picked101
Done033
Total87693

Merged error: 0b

Counts
93 → 6

regimes294.0ms

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
0136
1136

end0.0ms

analyze229.0ms

Algorithm
search

sample506.0ms

Algorithm
intervals
Results
341.0ms8000×body80valid
1.0ms36×body80invalid

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