Details

Time bar (total: 15.2s)

sample180.0ms

Algorithm
intervals
Results
56.0ms848×body80nan
22.0ms298×body80valid
0.0ms2×body320valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03811
110111
242811
3151411
4462011
5500111

prune8.0ms

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

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.0b
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.1b
(* (- b 0.5) (log c))
0.3b
(* x (log y))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
38×add-log-exp
25×sum-log
20×add-sqr-sqrt
18×log-prod
16×*-un-lft-identity
14×add-cube-cbrt
10×pow1
9×distribute-rgt-in distribute-lft-in
8×add-exp-log associate-*r* associate-*l* add-cbrt-cube
6×associate-+r+ associate-*l/
4×flip3-+ frac-add flip-+
3×flip3-- flip--
2×+-commutative associate-+l+ pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
4 → 95
Calls
4 calls:
15.0ms
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
13.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
6.0ms
(* (- b 0.5) (log c))
4.0ms
(* x (log y))

series932.0ms

Counts
4 → 12
Calls
4 calls:
561.0ms
(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
253.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
68.0ms
(* (- b 0.5) (log c))
49.0ms
(* x (log y))

simplify66.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06471027
12625970
25001952

prune682.0ms

Filtered
107 candidates to 74 candidates (30.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1025107
Fresh000
Picked101
Done000
Total1035108

Merged error: 0.0b

Counts
108 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* 2 (log (cbrt y))))
0.3b
(* x (log (cbrt y)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
24×cbrt-prod
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
12×pow1
11×add-exp-log add-cbrt-cube
6×associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×log-pow *-commutative
1×unswap-sqr
Counts
4 → 96
Calls
4 calls:
6.0ms
(* x (* 2 (log (cbrt y))))
5.0ms
(* x (log (cbrt y)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series616.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(* x (* 2 (log (cbrt y))))
108.0ms
(* x (log (cbrt y)))
197.0ms
(cbrt y)
193.0ms
(cbrt y)

simplify43.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0291642
11173565
25001541

prune1.2s

Filtered
108 candidates to 68 candidates (37.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1071108
Fresh044
Picked101
Done000
Total1085113

Merged error: 0.0b

Counts
113 → 5

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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)
4.0ms
(cbrt (* (cbrt y) (cbrt y)))
2.0ms
(cbrt (cbrt y))

series980.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(cbrt y)
198.0ms
(cbrt y)
311.0ms
(cbrt (* (cbrt y) (cbrt y)))
269.0ms
(cbrt (cbrt y))

simplify107.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 4 (103.0ms)

IterNodesCost
0106215
1236195
2753185
33141185
45001180

prune1.3s

Filtered
57 candidates to 50 candidates (12.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New57057
Fresh044
Picked011
Done000
Total57562

Merged error: 0.0b

Counts
62 → 5

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.3b
(* x (log y))
0.6b
(cbrt c)
0.6b
(cbrt c)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
42×log-prod
33×distribute-rgt-in distribute-lft-in
24×cbrt-prod add-sqr-sqrt associate-+l+
22×add-cube-cbrt *-un-lft-identity
12×associate-+r+
8×associate-*l/
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
4×flip3-- associate-*r* frac-add flip--
3×associate-*l*
2×pow1/3
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 99
Calls
4 calls:
13.0ms
(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
4.0ms
(* x (log y))
1.0ms
(cbrt c)
1.0ms
(cbrt c)

series643.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
50.0ms
(* x (log y))
198.0ms
(cbrt c)
199.0ms
(cbrt c)

simplify69.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0549851
12155729
25003698

prune1.3s

Filtered
111 candidates to 94 candidates (15.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1101111
Fresh033
Picked011
Done011
Total1106116

Merged error: 0.0b

Counts
116 → 6

regimes1.4s

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
04726
14726

end0.0ms

sample5.4s

Algorithm
intervals
Results
1.8s27691×body80nan
679.0ms9233×body80valid
1.0ms2×body640valid
1.0ms1×body1280valid
0.0ms2×body320valid

Profiling

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