Details

Time bar (total: 7.2s)

sample35.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
9.0ms259×body80nan

simplify139.0ms

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

rewrite21.0ms

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:
8.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
5.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
6.0ms
(* (+ y 0.5) (log y))

series323.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
40.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
229.0ms
(* (+ y 0.5) (log y))

simplify39.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0375512
11297467
25001453

prune136.0ms

Filtered
72 candidates to 50 candidates (69.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New67572
Fresh000
Picked011
Done000
Total67673

Merged error: 0.0b

Counts
73 → 6

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)))
0.6b
(cbrt y)
0.6b
(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:
12.0ms
(* (+ 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)

series1.6s

Counts
4 → 12
Calls
4 calls:
459.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
761.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
175.0ms
(cbrt y)
173.0ms
(cbrt y)

simplify74.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06401101
12507971
25003939

prune344.0ms

Filtered
120 candidates to 91 candidates (75.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1182120
Fresh224
Picked011
Done011
Total1206126

Merged error: 0b

Counts
126 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
0.2b
(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
0.6b
(cbrt y)
4.9b
(pow y 1/3)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
7×pow1 add-exp-log
6×add-cbrt-cube add-log-exp
4×associate-*l*
3×cbrt-prod unpow-prod-down pow-unpow associate-*r*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-to-exp pow-pow unpow1/3 pow1/3 pow-prod-down pow-exp prod-exp sum-log log-pow *-commutative cbrt-unprod unswap-sqr sqr-pow
Counts
4 → 65
Calls
4 calls:
7.0ms
(+ (* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
5.0ms
(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series1.6s

Counts
4 → 12
Calls
4 calls:
865.0ms
(+ (* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
427.0ms
(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
182.0ms
(cbrt y)
171.0ms
(pow y 1/3)

simplify62.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0391537
11772452
25002434

prune248.0ms

Filtered
77 candidates to 60 candidates (77.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New77077
Fresh033
Picked011
Done022
Total77683

Merged error: 0b

Counts
83 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (* 2 (log (cbrt y)))))
0.4b
(* (sqrt (+ y 0.5)) (* 2 (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
96×distribute-rgt-in distribute-lft-in
72×log-prod
42×cbrt-prod
38×*-un-lft-identity
34×add-sqr-sqrt add-cube-cbrt
18×pow1 add-exp-log add-cbrt-cube
14×sqrt-div associate-*l*
10×associate-*l/
9×pow-prod-down prod-exp cbrt-unprod
8×sqrt-prod
7×flip3-+ flip-+
4×frac-times add-log-exp
2×pow1/3 associate-*r/ associate-*r* *-commutative distribute-lft-out
Counts
4 → 151
Calls
4 calls:
16.0ms
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (* 2 (log (cbrt y)))))
10.0ms
(* (sqrt (+ y 0.5)) (* 2 (log (cbrt y))))
1.0ms
(cbrt y)
2.0ms
(cbrt y)

series918.0ms

Counts
4 → 12
Calls
4 calls:
458.0ms
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (* 2 (log (cbrt y)))))
101.0ms
(* (sqrt (+ y 0.5)) (* 2 (log (cbrt y))))
175.0ms
(cbrt y)
183.0ms
(cbrt y)

simplify68.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05981639
119961467
250011379

prune319.0ms

Filtered
163 candidates to 78 candidates (47.9%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1630163
Fresh022
Picked011
Done033
Total1636169

Merged error: 0b

Counts
169 → 6

regimes145.0ms

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

sample999.0ms

Algorithm
intervals
Results
357.0ms8028×body80valid
286.0ms7929×body80nan
0.0ms1×body1280valid
0.0ms1×body640valid