Details

Time bar (total: 2.4s)

analyze122.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%68.7%6.3%6
25%53.1%22%7
25%46.8%28.2%8
25%33.6%41.5%9
28.1%18%54%10
31.6%12.1%56.3%11
33.4%5.9%60.8%12
35.2%3.8%61%13
36.1%2.9%61%14

sample23.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
0505429

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.1b
(* (* a a) (- 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.5b
(* (* b b) (+ 3.0 a))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt *-un-lft-identity
associate-*r*
add-cube-cbrt
pow-prod-down prod-exp cbrt-unprod add-log-exp
associate-*r/
distribute-rgt-in unpow-prod-down pow-unpow distribute-lft-in
sub-neg associate-+r+ flip3-+ associate-*l* *-commutative flip-+ unswap-sqr
+-commutative pow-to-exp flip3-- pow-pow pow-exp sum-log flip-- distribute-lft-out distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 79
Calls
4 calls:
8.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
8.0ms
(* (* a a) (- 1.0 a))
5.0ms
(pow (+ (* a a) (* b b)) 2.0)
8.0ms
(* (* b b) (+ 3.0 a))

series57.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
6.0ms
(* (* a a) (- 1.0 a))
21.0ms
(pow (+ (* a a) (* b b)) 2.0)
6.0ms
(* (* b b) (+ 3.0 a))

simplify32.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
056661201

prune153.0ms

Filtered
64 candidates to 91 candidates (-42.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New86591
Fresh000
Picked101
Done000
Total87592

Merged error: 0.0b

Counts
92 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* b b) (+ 3.0 a))
19.8b
(cbrt (pow (+ (* b b) (* a a)) 2.0))
19.8b
(cbrt (pow (+ (* b b) (* a a)) 2.0))
19.8b
(cbrt (pow (+ (* b b) (* a a)) 2.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
13×*-un-lft-identity
12×add-sqr-sqrt
11×add-cube-cbrt
pow1 add-exp-log unpow-prod-down add-cbrt-cube
associate-*r* add-log-exp
pow1/3 pow-prod-down prod-exp cbrt-unprod sqr-pow
associate-*r/
distribute-rgt-in distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
4 → 69
Calls
4 calls:
7.0ms
(* (* b b) (+ 3.0 a))
5.0ms
(cbrt (pow (+ (* b b) (* a a)) 2.0))
4.0ms
(cbrt (pow (+ (* b b) (* a a)) 2.0))
5.0ms
(cbrt (pow (+ (* b b) (* a a)) 2.0))

series105.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (* b b) (+ 3.0 a))
33.0ms
(cbrt (pow (+ (* b b) (* a a)) 2.0))
33.0ms
(cbrt (pow (+ (* b b) (* a a)) 2.0))
35.0ms
(cbrt (pow (+ (* b b) (* a a)) 2.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049181043
149181043

prune209.0ms

Filtered
61 candidates to 81 candidates (-32.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New80181
Fresh044
Picked011
Done000
Total80686

Merged error: 0.0b

Counts
86 → 6

localize26.0ms

Local error

Found 4 expressions with local error:

11.9b
(sqrt (pow (+ (* b b) (* a a)) 2.0))
11.9b
(sqrt (pow (+ (* b b) (* a a)) 2.0))
19.8b
(cbrt (pow (+ (* b b) (* a a)) 2.0))
19.8b
(cbrt (pow (+ (* b b) (* a a)) 2.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×cbrt-prod unpow-prod-down sqrt-prod
12×add-cube-cbrt *-un-lft-identity
rem-sqrt-square sqr-pow
pow1 add-exp-log add-cbrt-cube add-log-exp
sqrt-pow1 pow1/2 pow1/3
Counts
4 → 68
Calls
4 calls:
5.0ms
(sqrt (pow (+ (* b b) (* a a)) 2.0))
5.0ms
(sqrt (pow (+ (* b b) (* a a)) 2.0))
5.0ms
(cbrt (pow (+ (* b b) (* a a)) 2.0))
5.0ms
(cbrt (pow (+ (* b b) (* a a)) 2.0))

series134.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(sqrt (pow (+ (* b b) (* a a)) 2.0))
31.0ms
(sqrt (pow (+ (* b b) (* a a)) 2.0))
38.0ms
(cbrt (pow (+ (* b b) (* a a)) 2.0))
34.0ms
(cbrt (pow (+ (* b b) (* a a)) 2.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
047461062
147461062

prune283.0ms

Filtered
66 candidates to 80 candidates (-21.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New80080
Fresh044
Picked011
Done011
Total80686

Merged error: 0.0b

Counts
86 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (pow b 4) (+ (* (* b b) (* (* a a) 2)) (pow a 4)))
0.0b
(* (* a a) 2)
1.7b
(* (* b b) (* (* a a) 2))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log add-cbrt-cube
18×pow-prod-down prod-exp cbrt-unprod
add-log-exp
*-un-lft-identity
add-sqr-sqrt
add-cube-cbrt associate-*r*
sum-log
associate-*l* *-commutative
+-commutative associate-+r+ flip3-+ flip-+ distribute-lft-out unswap-sqr
Counts
3 → 61
Calls
3 calls:
14.0ms
(+ (pow b 4) (+ (* (* b b) (* (* a a) 2)) (pow a 4)))
5.0ms
(* (* a a) 2)
10.0ms
(* (* b b) (* (* a a) 2))

series22.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ (pow b 4) (+ (* (* b b) (* (* a a) 2)) (pow a 4)))
3.0ms
(* (* a a) 2)
7.0ms
(* (* b b) (* (* a a) 2))

simplify62.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05036767

prune69.0ms

Filtered
37 candidates to 70 candidates (-89.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New70070
Fresh033
Picked011
Done022
Total70676

Merged error: 0.0b

Counts
76 → 6

regimes160.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04752
14752

end0.0ms

sample608.0ms

Algorithm
intervals
Results
482.0ms8000×body80valid
0.0msbody80invalid

Profiling

Loading profile data...