Details

Time bar (total: 3.3s)

sample41.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
9.0ms270×body80nan

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

Filtered
1 candidates to 0 candidates (100.0%)
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 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
19×*-un-lft-identity
14×add-sqr-sqrt
12×log-prod
10×add-cube-cbrt
7×pow1
6×add-exp-log distribute-rgt-in distribute-lft-in diff-log add-cbrt-cube associate--r+
4×associate-*r* associate-*l* sum-log
3×sub-neg distribute-lft-out
2×associate-+l- associate-+l+ flip3-- flip3-+ associate-*l/ flip-- flip-+ distribute-lft-out--
1×+-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:
3.0ms
(- x (* (+ y 0.5) (log y)))
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))

series59.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- x (* (+ y 0.5) (log y)))
16.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
11.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
23.0ms
(* (+ y 0.5) (log y))

simplify49.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0475684
11731613
25002594

prune123.0ms

Filtered
93 candidates to 67 candidates (28.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New87693
Fresh000
Picked011
Done000
Total87794

Merged error: 0.0b

Counts
94 → 7

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)

rewrite27.0ms

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:
8.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
11.0ms
(+ (* (+ 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:
63.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
104.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
24.0ms
(cbrt y)
21.0ms
(cbrt y)

simplify71.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06921152
124321025
25003966

prune171.0ms

Filtered
120 candidates to 87 candidates (27.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1173120
Fresh235
Picked101
Done011
Total1207127

Merged error: 0b

Counts
127 → 7

localize25.0ms

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)))

rewrite11.0ms

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)))

series108.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
24.0ms
(cbrt y)
29.0ms
(cbrt (cbrt y))
34.0ms
(cbrt (* (cbrt y) (cbrt y)))

simplify201.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
0147266
1289242
2847200
34355187
45001187

prune105.0ms

Filtered
57 candidates to 45 candidates (21.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New57057
Fresh055
Picked011
Done011
Total57764

Merged error: 0b

Counts
64 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sqrt y)) (cbrt (sqrt y)))
0.6b
(cbrt y)
0.6b
(cbrt (sqrt y))
0.6b
(cbrt (sqrt y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
55×cbrt-prod
43×add-sqr-sqrt
26×sqrt-prod
21×add-cube-cbrt *-un-lft-identity
11×pow1 swap-sqr
9×pow1/3 associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
7.0ms
(* (cbrt (sqrt y)) (cbrt (sqrt y)))
1.0ms
(cbrt y)
2.0ms
(cbrt (sqrt y))
2.0ms
(cbrt (sqrt y))

series70.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (cbrt (sqrt y)) (cbrt (sqrt y)))
21.0ms
(cbrt y)
17.0ms
(cbrt (sqrt y))
16.0ms
(cbrt (sqrt y))

simplify153.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (146.0ms)

IterNodesCost
0258686
1856639
24521560
35001554

prune112.0ms

Filtered
107 candidates to 65 candidates (39.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh044
Picked011
Done022
Total1077114

Merged error: 0b

Counts
114 → 7

regimes332.0ms

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
347.0ms8029×body80valid
295.0ms8257×body80nan
0.0ms1×body640valid

Profiling

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