Details

Time bar (total: 4.3s)

sample19.0ms

Algorithm
intervals
Results
7.0ms258×body80valid
4.0ms251×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
042
142

prune1.0ms

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: 0.3b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×add-cube-cbrt *-un-lft-identity
4×pow1 associate-*r*
3×add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
1×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
5.0ms
(* x (log x))

series174.0ms

Counts
1 → 3
Calls
1 calls:
174.0ms
(* x (log x))

simplify184.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
093115
134699
2104492
3425392
4500292

prune42.0ms

Filtered
28 candidates to 16 candidates (57.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New21728
Fresh000
Picked101
Done000
Total22729

Merged error: 0.0b

Counts
29 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (sqrt x))
0.0b
(log (sqrt x))
0.3b
(* x (log (sqrt x)))
0.3b
(* x (log (sqrt x)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
24×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
18×sqrt-prod
16×pow1
12×distribute-rgt-in distribute-lft-in associate-*r* log-pow
10×add-exp-log
8×add-cbrt-cube
6×associate-*l*
4×sqrt-pow1 pow1/2 add-log-exp
2×rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 100
Calls
4 calls:
2.0ms
(log (sqrt x))
2.0ms
(log (sqrt x))
6.0ms
(* x (log (sqrt x)))
6.0ms
(* x (log (sqrt x)))

series325.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(log (sqrt x))
64.0ms
(log (sqrt x))
98.0ms
(* x (log (sqrt x)))
99.0ms
(* x (log (sqrt x)))

simplify85.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0183618
1645544
22901510
35001510

prune165.0ms

Filtered
112 candidates to 70 candidates (62.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1084112
Fresh336
Picked011
Done000
Total1118119

Merged error: 0.0b

Counts
119 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (sqrt x)))
0.3b
(+ (* x (* 2 (log (cbrt (sqrt x))))) (* x (log (cbrt (sqrt x)))))
0.6b
(cbrt (sqrt x))
0.6b
(cbrt (sqrt x))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
66×log-prod
51×distribute-rgt-in distribute-lft-in
48×cbrt-prod
36×associate-+l+
34×add-sqr-sqrt
32×add-cube-cbrt *-un-lft-identity
30×sqrt-prod
18×associate-+r+
8×pow1
6×add-exp-log associate-*r* add-cbrt-cube add-log-exp
3×associate-*l* log-pow
2×pow1/3
1×+-commutative sqrt-pow1 flip3-+ pow1/2 pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 127
Calls
4 calls:
6.0ms
(* x (log (sqrt x)))
13.0ms
(+ (* x (* 2 (log (cbrt (sqrt x))))) (* x (log (cbrt (sqrt x)))))
2.0ms
(cbrt (sqrt x))
2.0ms
(cbrt (sqrt x))

series701.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(* x (log (sqrt x)))
298.0ms
(+ (* x (* 2 (log (cbrt (sqrt x))))) (* x (log (cbrt (sqrt x)))))
149.0ms
(cbrt (sqrt x))
148.0ms
(cbrt (sqrt x))

simplify65.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05061123
11938983
25001898

prune381.0ms

Filtered
139 candidates to 104 candidates (74.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1390139
Fresh066
Picked011
Done011
Total1398147

Merged error: 0.0b

Counts
147 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
5.0ms
(* x (log (cbrt x)))
10.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
462.0ms
(* x (log (cbrt x)))
345.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
190.0ms
(cbrt x)
192.0ms
(cbrt x)

simplify53.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0342729
11457633
25001547

prune230.0ms

Filtered
114 candidates to 94 candidates (82.5%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1113114
Fresh235
Picked011
Done022
Total1139122

Merged error: 0b

Counts
122 → 9

regimes31.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
167

end0.0ms

sample532.0ms

Algorithm
intervals
Results
207.0ms8049×body80valid
145.0ms8166×body80nan

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