Details

Time bar (total: 7.5s)

sample98.0ms

Algorithm
intervals
Results
37.0ms844×body80nan
9.0ms31×body640valid
9.0ms184×body80valid
6.0ms11×body1280valid
3.0ms15×body320valid
2.0ms17×body160valid

simplify23.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1307
2397
3457
4607
5887
61257
71767
82087
92257
102937
112937

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: 9.3b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (log (- 1.0 y)))
0.2b
(* x (log y))
6.7b
(log (- 1.0 y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
21×log-prod
18×*-un-lft-identity
12×add-cube-cbrt
10×pow1
8×add-exp-log distribute-rgt-in distribute-lft-in associate-*r*
7×add-cbrt-cube
6×associate-*l*
3×log-pow distribute-lft-out-- add-log-exp difference-of-squares
2×log-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×flip3-- rem-log-exp flip--
Counts
3 → 70
Calls
3 calls:
6.0ms
(* z (log (- 1.0 y)))
4.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

series142.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(* z (log (- 1.0 y)))
35.0ms
(* x (log y))
44.0ms
(log (- 1.0 y))

simplify107.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0332423
11192372
24968355
35001355

prune202.0ms

Filtered
79 candidates to 51 candidates (64.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New71879
Fresh000
Picked101
Done000
Total72880

Merged error: 0.1b

Counts
80 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.0b
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.2b
(* x (log y))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
80×times-frac
78×associate-*r*
56×unpow-prod-down
53×*-un-lft-identity
50×add-cube-cbrt
31×add-exp-log
24×log-prod unpow2 sqr-pow
19×unswap-sqr
16×distribute-rgt-in distribute-lft-in
13×add-cbrt-cube
12×pow1 prod-exp associate--l+
10×associate-+r+
9×div-exp associate-*l*
6×pow-to-exp associate-+l+ pow-exp add-log-exp
4×sub-neg cbrt-unprod
3×associate-*r/ pow-prod-down *-commutative
2×log-pow distribute-lft-out--
1×cbrt-undiv +-commutative flip3-- flip3-+ sum-log flip-- flip-+ div-inv difference-of-squares
Counts
4 → 195
Calls
4 calls:
6.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
19.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
9.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
4.0ms
(* x (log y))

series319.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
48.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
100.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
42.0ms
(* x (log y))

simplify96.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
08711525
136701354
250011353

prune697.0ms

Filtered
207 candidates to 133 candidates (64.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2016207
Fresh437
Picked101
Done000
Total2069215

Merged error: 0.0b

Counts
215 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.7b
(cbrt y)
0.7b
(cbrt y)

rewrite25.0ms

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 y)))
10.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series540.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* x (log (cbrt y)))
100.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
173.0ms
(cbrt y)
176.0ms
(cbrt y)

simplify58.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0345729
11431634
25001547

prune563.0ms

Filtered
114 candidates to 92 candidates (80.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1113114
Fresh268
Picked101
Done000
Total1149123

Merged error: 0.0b

Counts
123 → 9

localize32.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt y)
0.7b
(cbrt y)
0.7b
(cbrt y)
0.7b
(cbrt y)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×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 → 44
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series721.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt y)
175.0ms
(cbrt y)
181.0ms
(cbrt y)
185.0ms
(cbrt y)

simplify126.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
040156
181144
2193136
3696136
44103136
55002136

prune362.0ms

Filtered
56 candidates to 48 candidates (85.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New55156
Fresh178
Picked101
Done000
Total57865

Merged error: 0.0b

Counts
65 → 8

regimes190.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04828
14828

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.1s24041×body80nan
464.0ms894×body640valid
281.0ms5540×body80valid
228.0ms389×body1280valid
131.0ms759×body320valid
51.0ms447×body160valid