Details

Time bar (total: 3.1s)

sample44.0ms

Algorithm
intervals
Results
11.0ms258×body80valid
10.0ms279×body80nan

simplify153.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize14.0ms

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))

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:
7.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
5.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
7.0ms
(* (+ y 0.5) (log y))

series48.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
11.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
21.0ms
(* (+ y 0.5) (log y))

simplify47.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0399541
11444477
25002456

prune106.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New66672
Fresh000
Picked101
Done000
Total67673

Merged error: 0.0b

Counts
73 → 6

localize18.0ms

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)

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
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)
2.0ms
(cbrt y)

series216.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
111.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
21.0ms
(cbrt y)
22.0ms
(cbrt y)

simplify76.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06921152
124321025
25003966

prune176.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1182120
Fresh145
Picked011
Done000
Total1197126

Merged error: 0b

Counts
126 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (* (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)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×pow1
6×add-exp-log cbrt-prod add-cbrt-cube add-log-exp
5×associate-*l*
3×pow1/3 associate-*r*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ log-pow flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
4 → 60
Calls
4 calls:
8.0ms
(+ (* (log (cbrt y)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
6.0ms
(* (log (cbrt y)) (+ y (* (+ y 0.5) 2)))
1.0ms
(cbrt y)
2.0ms
(cbrt y)

series215.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(+ (* (log (cbrt y)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
61.0ms
(* (log (cbrt y)) (+ y (* (+ y 0.5) 2)))
24.0ms
(cbrt y)
22.0ms
(cbrt y)

simplify50.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0371570
11416499
25002438

prune113.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh055
Picked011
Done011
Total72779

Merged error: 0b

Counts
79 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ y 0.5))
0.1b
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
0.4b
(* (sqrt (+ y 0.5)) (log y))
0.4b
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
21×add-sqr-sqrt
18×log-prod
16×add-cube-cbrt sqrt-div
15×distribute-rgt-in distribute-lft-in
14×associate-*l*
13×pow1 sqrt-prod
11×add-exp-log add-cbrt-cube
10×associate-*l/
9×flip3-+ flip-+ add-log-exp
5×associate-*r*
4×frac-times pow-prod-down prod-exp cbrt-unprod distribute-lft-out
2×associate-+l+ associate-*r/ sum-log *-commutative unswap-sqr
1×+-commutative associate-+l- sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log log-pow
Counts
4 → 106
Calls
4 calls:
3.0ms
(sqrt (+ y 0.5))
5.0ms
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
7.0ms
(* (sqrt (+ y 0.5)) (log y))
13.0ms
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (+ y 0.5))
11.0ms
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
14.0ms
(* (sqrt (+ y 0.5)) (log y))
21.0ms
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))

simplify78.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
07471109
12897962
25002926

prune172.0ms

Filtered
78 candidates to 118 candidates (-51.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1171118
Fresh134
Picked011
Done022
Total1187125

Merged error: 0b

Counts
125 → 7

regimes199.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02313
12313

end0.0ms

sample1.2s

Algorithm
intervals
Results
360.0ms8036×body80valid
291.0ms8096×body80nan

Profiling

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