Details

Time bar (total: 2.5s)

analyze392.0ms

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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
31.2%68.6%0.1%9
35.9%55.4%8.7%10
42.9%47.6%9.5%11
51.5%38.2%10.3%12
55%30%15%13
59.5%25.3%15.3%14

sample23.0ms

Algorithm
intervals
Results
9.0ms237×body80valid
1.0ms6×body640valid
1.0ms19×body80invalid
1.0ms3×body1280valid
0.0ms5×body320valid
0.0ms5×body160valid

simplify44.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
0500713

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* 6.0 (- (/ 2.0 3.0) z))
0.0b
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.1b
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-exp-log sub-neg add-cbrt-cube
10×associate-*r/
9×distribute-rgt-in distribute-lft-in
8×flip3-- associate-*l* flip-- add-log-exp
7×add-cube-cbrt associate-*r*
5×difference-of-squares
4×frac-times associate-+r+ pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out--
2×times-frac associate-*l/ *-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 86
Calls
4 calls:
7.0ms
(- (/ 2.0 3.0) z)
9.0ms
(* 6.0 (- (/ 2.0 3.0) z))
5.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
13.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series28.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(- (/ 2.0 3.0) z)
3.0ms
(* 6.0 (- (/ 2.0 3.0) z))
14.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
9.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
051171200

prune174.0ms

Filtered
70 candidates to 98 candidates (-40.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New881098
Fresh011
Picked101
Done000
Total8911100

Merged error: 0.0b

Counts
100 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y))))
0.0b
(* z (- x y))
0.0b
(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y)))))
0.3b
(* 6.0 (* z (- x y)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
34×associate-*r/
11×pow1 add-exp-log add-sqr-sqrt flip3-- *-un-lft-identity add-cbrt-cube flip-- add-log-exp
10×sub-neg frac-add
9×distribute-rgt-in distribute-lft-in
7×add-cube-cbrt
6×associate-*r* associate-*l*
5×associate-+r+
4×frac-times pow-prod-down associate-*l/ prod-exp sum-log cbrt-unprod
2×+-commutative flip3-+ *-commutative flip-+
1×distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 87
Calls
4 calls:
12.0ms
(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y))))
6.0ms
(* z (- x y))
13.0ms
(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y)))))
7.0ms
(* 6.0 (* z (- x y)))

series40.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y))))
7.0ms
(* z (- x y))
13.0ms
(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* 6.0 (* z (- x y)))))
8.0ms
(* 6.0 (* z (- x y)))

simplify34.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
051601545

prune159.0ms

Filtered
70 candidates to 99 candidates (-41.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New99099
Fresh01010
Picked011
Done000
Total9911110

Merged error: 0.0b

Counts
110 → 11

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 4.0 (* 6.0 z))
0.0b
(+ x (* (- y x) (- 4.0 (* 6.0 z))))
0.1b
(* (- y x) (- 4.0 (* 6.0 z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×flip3-- *-un-lft-identity flip-- add-log-exp
5×pow1 add-exp-log add-cube-cbrt sub-neg associate-*l* add-cbrt-cube
4×frac-times
3×associate-*r*
2×distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/ associate-*l/
1×+-commutative flip3-+ diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 54
Calls
3 calls:
3.0ms
(- 4.0 (* 6.0 z))
4.0ms
(+ x (* (- y x) (- 4.0 (* 6.0 z))))
8.0ms
(* (- y x) (- 4.0 (* 6.0 z)))

series25.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- 4.0 (* 6.0 z))
13.0ms
(+ x (* (- y x) (- 4.0 (* 6.0 z))))
9.0ms
(* (- y x) (- 4.0 (* 6.0 z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05011804

prune117.0ms

Filtered
48 candidates to 63 candidates (-31.3%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New59463
Fresh459
Picked011
Done011
Total631174

Merged error: 0.0b

Counts
74 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* (- y x) 6.0)
0.0b
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.3b
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube
10×associate-*l/
9×associate-*r*
8×flip3-- flip-- add-log-exp
7×add-cube-cbrt
6×associate-*l*
5×sub-neg difference-of-squares
4×frac-times pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out--
2×distribute-rgt-in associate-+r+ distribute-lft-in times-frac associate-*r/ *-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 80
Calls
4 calls:
7.0ms
(- (/ 2.0 3.0) z)
6.0ms
(* (- y x) 6.0)
5.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
14.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series30.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(- (/ 2.0 3.0) z)
4.0ms
(* (- y x) 6.0)
12.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
11.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify42.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049951089
149951089

prune115.0ms

Filtered
66 candidates to 92 candidates (-39.4%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh088
Picked011
Done022
Total9211103

Merged error: 0.0b

Counts
103 → 11

regimes430.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08419
18419

end0.0ms

sample596.0ms

Algorithm
intervals
Results
284.0ms7275×body80valid
36.0ms275×body640valid
27.0ms146×body1280valid
21.0ms578×body80invalid
19.0ms189×body320valid
8.0ms115×body160valid

Profiling

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