Details

Time bar (total: 6.3s)

sample33.0ms

Algorithm
intervals
Results
11.0ms257×body80valid
8.0ms239×body80nan

simplify141.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0216
1616
21926
36496
416026
527206
636676
743876
847116
949566
1050016

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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)))
0.1b
(+ (- x (* (+ y 0.5) (log y))) y)
0.2b
(* (+ y 0.5) (log y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
12×log-prod
11×add-sqr-sqrt
10×add-log-exp
9×add-cube-cbrt
6×pow1 distribute-rgt-in distribute-lft-in associate--r+
5×add-exp-log add-cbrt-cube
4×associate-*r* associate-*l*
2×sub-neg associate-+l+ flip3-+ diff-log associate-*l/ sum-log flip-+ distribute-lft-out
1×+-commutative associate-+l- flip3-- pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 62
Calls
3 calls:
3.0ms
(- x (* (+ y 0.5) (log y)))
8.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
7.0ms
(* (+ y 0.5) (log y))

series325.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- x (* (+ y 0.5) (log y)))
43.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
241.0ms
(* (+ y 0.5) (log y))

simplify41.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0364458
11327419
25002408

prune153.0ms

Filtered
71 candidates to 53 candidates (74.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New65671
Fresh000
Picked011
Done000
Total65772

Merged error: 0.0b

Counts
72 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite32.0ms

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))))
16.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.6s

Counts
4 → 12
Calls
4 calls:
461.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
766.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
175.0ms
(cbrt y)
178.0ms
(cbrt y)

simplify72.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06401104
12507971
25003939

prune330.0ms

Filtered
120 candidates to 91 candidates (75.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1173120
Fresh235
Picked101
Done011
Total1207127

Merged error: 0.0b

Counts
127 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.6b
(cbrt (cbrt y))
0.6b
(cbrt (cbrt y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(cbrt (cbrt y))
2.0ms
(cbrt (cbrt y))

series1.1s

Counts
4 → 12
Calls
4 calls:
214.0ms
(cbrt y)
209.0ms
(cbrt y)
468.0ms
(cbrt (cbrt y))
235.0ms
(cbrt (cbrt y))

simplify57.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
071226
1141210
2357202
31377202
45001202

prune264.0ms

Filtered
62 candidates to 57 candidates (91.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh055
Picked011
Done011
Total62769

Merged error: 0.0b

Counts
69 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (log (pow y 1/3)) (+ 1.5 (* 3 y))))
0.1b
(+ (- x (* (log (pow y 1/3)) (+ 1.5 (* 3 y)))) y)
0.3b
(* (log (pow y 1/3)) (+ 1.5 (* 3 y)))
5.1b
(pow y 1/3)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×add-log-exp
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
7×pow1 add-exp-log
6×add-cbrt-cube
4×associate-*l*
3×unpow-prod-down pow-unpow associate-*r*
2×distribute-rgt-in sub-neg associate-+l+ distribute-lft-in flip3-+ diff-log associate-*r/ sum-log flip-+ associate--r+
1×+-commutative pow-to-exp associate-+l- flip3-- pow-pow unpow1/3 pow-prod-down pow-exp prod-exp log-pow *-commutative flip-- cbrt-unprod distribute-lft-out unswap-sqr sqr-pow
Counts
4 → 71
Calls
4 calls:
3.0ms
(- x (* (log (pow y 1/3)) (+ 1.5 (* 3 y))))
5.0ms
(+ (- x (* (log (pow y 1/3)) (+ 1.5 (* 3 y)))) y)
6.0ms
(* (log (pow y 1/3)) (+ 1.5 (* 3 y)))
6.0ms
(pow y 1/3)

series733.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- x (* (log (pow y 1/3)) (+ 1.5 (* 3 y))))
74.0ms
(+ (- x (* (log (pow y 1/3)) (+ 1.5 (* 3 y)))) y)
420.0ms
(* (log (pow y 1/3)) (+ 1.5 (* 3 y)))
171.0ms
(pow y 1/3)

simplify56.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0431598
11861545
25002534

prune174.0ms

Filtered
83 candidates to 60 candidates (72.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New82183
Fresh134
Picked011
Done022
Total83790

Merged error: 0.0b

Counts
90 → 7

regimes168.0ms

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

sample944.0ms

Algorithm
intervals
Results
342.0ms8039×body80valid
276.0ms8057×body80nan
0.0ms1×body640valid