Details

Time bar (total: 3.2s)

sample43.0ms

Algorithm
intervals
Results
11.0ms249×body80nan
11.0ms257×body80valid

simplify135.0ms

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 3 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×add-log-exp
16×*-un-lft-identity
11×add-sqr-sqrt
7×add-cube-cbrt
6×pow1 log-prod
5×add-exp-log diff-log add-cbrt-cube
4×associate-*r* associate-*l* sum-log
3×distribute-rgt-in distribute-lft-in distribute-lft-out
2×associate-+l- sub-neg associate-+l+ flip3-+ associate-*l/ flip-+ distribute-lft-out--
1×+-commutative associate--l- flip3-- pow-prod-down prod-exp associate--l+ log-pow *-commutative flip-- cbrt-unprod difference-of-squares unswap-sqr
Counts
3 → 63
Calls
3 calls:
7.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
5.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
6.0ms
(* (+ y 0.5) (log y))

series49.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
11.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
21.0ms
(* (+ y 0.5) (log y))

simplify40.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0399541
11444477
25002456

prune118.0ms

Filtered
50 candidates to 72 candidates (-44.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New63972
Fresh000
Picked101
Done000
Total64973

Merged error: 0.0b

Counts
73 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×add-log-exp
12×*-un-lft-identity
9×add-sqr-sqrt
6×pow1
5×add-exp-log add-cube-cbrt diff-log add-cbrt-cube
4×associate-*r* associate-*l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ sum-log flip-- distribute-lft-out associate--r+ distribute-lft-out--
1×associate--l- associate-+r- flip3-+ pow-prod-down prod-exp associate--l+ log-pow *-commutative cbrt-unprod flip-+ difference-of-squares unswap-sqr
Counts
3 → 57
Calls
3 calls:
7.0ms
(- (+ x (- y (* (log y) (+ y 0.5)))) z)
3.0ms
(- y (* (log y) (+ y 0.5)))
6.0ms
(* (log y) (+ y 0.5))

series74.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(- (+ x (- y (* (log y) (+ y 0.5)))) z)
37.0ms
(- y (* (log y) (+ y 0.5)))
21.0ms
(* (log y) (+ y 0.5))

simplify41.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0379472
11494421
25001410

prune103.0ms

Filtered
47 candidates to 66 candidates (-40.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New65166
Fresh178
Picked011
Done000
Total66975

Merged error: 0.0b

Counts
75 → 9

localize14.0ms

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)

rewrite28.0ms

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
9×pow1 add-exp-log add-cbrt-cube
6×flip3-+ associate-*l/ flip-+ add-log-exp
4×associate-*r/ associate-*l* frac-add
3×pow-prod-down prod-exp cbrt-unprod
2×associate-+r+ pow1/3
1×+-commutative associate-*r* sum-log *-commutative distribute-lft-out
Counts
4 → 108
Calls
4 calls:
9.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
12.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series224.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
109.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
23.0ms
(cbrt y)
26.0ms
(cbrt y)

simplify74.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06921152
124321025
25003966

prune181.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1182120
Fresh257
Picked101
Done011
Total1218129

Merged error: 0.0b

Counts
129 → 8

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt (cbrt y))
0.7b
(cbrt (* (cbrt y) (cbrt y)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(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)
22.0ms
(cbrt y)
33.0ms
(cbrt (cbrt y))
35.0ms
(cbrt (* (cbrt y) (cbrt y)))

simplify202.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
0147266
1289242
2847200
34355187
45001187

prune87.0ms

Filtered
45 candidates to 57 candidates (-26.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New57057
Fresh066
Picked011
Done011
Total57865

Merged error: 0.0b

Counts
65 → 8

regimes355.0ms

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

sample1.2s

Algorithm
intervals
Results
346.0ms8037×body80valid
285.0ms8276×body80nan
0.0ms1×body1280valid

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