Details

Time bar (total: 4.3s)

analyze304.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%74.9%25.1%3
0%74.9%25.1%4
0%74.9%25.1%5
0%62.4%37.6%6
0%31.2%68.8%7
0%31.2%68.8%8
0%31.2%68.8%9
0%28.1%71.9%10
6%20.5%73.5%11
6.1%20.4%73.5%12
7.7%18.8%73.5%13
9.1%16.6%74.3%14

sample53.0ms

Algorithm
intervals
Results
12.0ms36×body640valid
12.0ms18×body1280valid
10.0ms167×body80valid
5.0ms22×body320valid
2.0ms13×body160valid
1.0ms11×body80nan
0.0ms1×body80invalid

simplify21.0ms

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

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.4b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b
(* z (log (- 1.0 y)))
0.3b
(* x (log y))
6.0b
(log (- 1.0 y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
21×log-prod *-un-lft-identity
13×add-cube-cbrt
11×pow1
9×add-exp-log add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×associate-*l*
4×distribute-lft-out-- difference-of-squares
3×log-pow
2×log-div flip3-- diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
1×sub-neg rem-log-exp associate--l+ sum-log
Counts
4 → 86
Calls
4 calls:
6.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
6.0ms
(* z (log (- 1.0 y)))
4.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

series39.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
8.0ms
(* z (log (- 1.0 y)))
10.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

simplify46.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0458643
11650563
25002529

prune187.0ms

Filtered
66 candidates to 98 candidates (-48.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New91798
Fresh000
Picked101
Done000
Total92799

Merged error: 0.1b

Counts
99 → 7

localize138.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))
0.0b
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.3b
(* x (log y))
8.4b
(* z (pow y 2))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
18×log-prod
15×add-cube-cbrt *-un-lft-identity add-log-exp
12×associate-*r*
11×add-exp-log
9×distribute-rgt-in distribute-lft-in
8×associate-+r+ add-cbrt-cube
7×pow1
6×associate-+l+ associate-*l* associate--l+
5×sum-log unswap-sqr
4×unpow-prod-down prod-exp
2×+-commutative flip3-+ diff-log *-commutative cbrt-unprod flip-+ unpow2 sqr-pow
1×pow-to-exp associate-+r- sub-neg pow-prod-down pow-exp log-pow
Counts
4 → 91
Calls
4 calls:
12.0ms
(+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))
5.0ms
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
4.0ms
(* x (log y))
5.0ms
(* z (pow y 2))

series56.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))
17.0ms
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
7.0ms
(* x (log y))
6.0ms
(* z (pow y 2))

simplify57.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0455843
11850758
25001734

prune206.0ms

Filtered
70 candidates to 103 candidates (-47.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1012103
Fresh156
Picked011
Done000
Total1028110

Merged error: 0.1b

Counts
110 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (log y)) (- (* z (log 1.0)) (* z (+ (* (pow y 2) 0.5) (* y 1.0)))))
0.0b
(* (pow y 2) 0.5)
0.0b
(* z (+ (* (pow y 2) 0.5) (* y 1.0)))
0.3b
(* x (log y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
18×log-prod
17×add-cube-cbrt *-un-lft-identity
14×associate-*l*
13×add-exp-log
10×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
9×pow1 add-log-exp
8×associate-+r+
6×associate-+l+ associate--l+ unswap-sqr
5×prod-exp
4×unpow-prod-down
3×*-commutative cbrt-unprod
2×flip3-+ associate-*r/ pow-prod-down sum-log flip-+ unpow2 sqr-pow
1×+-commutative pow-to-exp associate-+r- sub-neg diff-log pow-exp log-pow
Counts
4 → 101
Calls
4 calls:
9.0ms
(+ (* x (log y)) (- (* z (log 1.0)) (* z (+ (* (pow y 2) 0.5) (* y 1.0)))))
5.0ms
(* (pow y 2) 0.5)
7.0ms
(* z (+ (* (pow y 2) 0.5) (* y 1.0)))
4.0ms
(* x (log y))

series48.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (* x (log y)) (- (* z (log 1.0)) (* z (+ (* (pow y 2) 0.5) (* y 1.0)))))
3.0ms
(* (pow y 2) 0.5)
14.0ms
(* z (+ (* (pow y 2) 0.5) (* y 1.0)))
7.0ms
(* x (log y))

simplify61.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0478746
12000665
25001649

prune196.0ms

Filtered
76 candidates to 113 candidates (-48.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1112113
Fresh156
Picked011
Done011
Total1129121

Merged error: 0.1b

Counts
121 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (pow y 2) 0.5)
0.2b
(* (* z (sqrt (+ (* (pow y 2) 0.5) (* y 1.0)))) (sqrt (+ (* (pow y 2) 0.5) (* y 1.0))))
0.3b
(* z (sqrt (+ (* (pow y 2) 0.5) (* y 1.0))))
0.3b
(* x (log y))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
19×associate-*r*
18×add-exp-log
16×add-cube-cbrt *-un-lft-identity
15×associate-*l* add-cbrt-cube
14×pow1 sqrt-div
10×associate-*r/
8×prod-exp
7×flip3-+ sqrt-prod flip-+ unswap-sqr
6×log-prod cbrt-unprod
5×pow-prod-down
4×frac-times unpow-prod-down *-commutative add-log-exp
3×distribute-rgt-in distribute-lft-in
2×associate-*l/ unpow2 sqr-pow
1×pow-to-exp pow-exp log-pow
Counts
4 → 105
Calls
4 calls:
5.0ms
(* (pow y 2) 0.5)
13.0ms
(* (* z (sqrt (+ (* (pow y 2) 0.5) (* y 1.0)))) (sqrt (+ (* (pow y 2) 0.5) (* y 1.0))))
7.0ms
(* z (sqrt (+ (* (pow y 2) 0.5) (* y 1.0))))
4.0ms
(* x (log y))

series39.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (pow y 2) 0.5)
14.0ms
(* (* z (sqrt (+ (* (pow y 2) 0.5) (* y 1.0)))) (sqrt (+ (* (pow y 2) 0.5) (* y 1.0))))
15.0ms
(* z (sqrt (+ (* (pow y 2) 0.5) (* y 1.0))))
7.0ms
(* x (log y))

simplify66.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0524946
12207808
25001790

prune230.0ms

Filtered
72 candidates to 117 candidates (-62.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1161117
Fresh066
Picked011
Done112
Total1179126

Merged error: 0.1b

Counts
126 → 9

regimes664.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03015
13015

end0.0ms

analyze296.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%74.9%25.1%3
0%74.9%25.1%4
0%74.9%25.1%5
0%62.4%37.6%6
0%31.2%68.8%7
0%31.2%68.8%8
0%31.2%68.8%9
0%28.1%71.9%10
6%20.5%73.5%11
6.1%20.4%73.5%12
7.7%18.8%73.5%13
9.1%16.6%74.3%14

sample1.4s

Algorithm
intervals
Results
356.0ms5498×body80valid
297.0ms861×body640valid
276.0ms415×body1280valid
166.0ms778×body320valid
59.0ms448×body160valid
18.0ms272×body80nan
3.0ms35×body80invalid

Profiling

Loading profile data...