Details

Time bar (total: 3.8s)

analyze293.0ms

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
43.3%48%8.7%10
49.7%40.8%9.5%11
55.7%34%10.3%12
61.3%23.7%15%13
65%19.8%15.3%14

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms31×body80invalid

simplify23.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
05659
15659

prune9.0ms

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: 0.0b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (* 6.0 z)))
0.2b
(* (- y x) (* 6.0 z))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*l*
4×add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×+-commutative flip3-- flip3-+ associate-*r* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 33
Calls
2 calls:
3.0ms
(+ x (* (- y x) (* 6.0 z)))
7.0ms
(* (- y x) (* 6.0 z))

series20.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ x (* (- y x) (* 6.0 z)))
10.0ms
(* (- y x) (* 6.0 z))

simplify26.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
05378376

prune49.0ms

Filtered
24 candidates to 39 candidates (-62.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh011
Picked011
Done000
Total36541

Merged error: 0.0b

Counts
41 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y x) 6.0) z))
0.0b
(* (- y x) 6.0)
0.2b
(* (* (- y x) 6.0) z)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt associate-*r* associate-*l* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 53
Calls
3 calls:
3.0ms
(+ x (* (* (- y x) 6.0) z))
6.0ms
(* (- y x) 6.0)
7.0ms
(* (* (- y x) 6.0) z)

series22.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ x (* (* (- y x) 6.0) z))
4.0ms
(* (- y x) 6.0)
8.0ms
(* (* (- y x) 6.0) z)

simplify28.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
05384521

prune60.0ms

Filtered
39 candidates to 62 candidates (-59.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New61162
Fresh213
Picked011
Done011
Total63467

Merged error: 0.0b

Counts
67 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (+ y x))
0.2b
(* (- y x) (* 6.0 (* z (+ y x))))
0.3b
(* 6.0 (* z (+ y x)))
18.6b
(/ (* (- y x) (* 6.0 (* z (+ y x)))) (+ y x))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log associate-*r/ add-cbrt-cube
20×pow1
18×*-un-lft-identity
17×distribute-rgt-in distribute-lft-in
16×prod-exp cbrt-unprod
14×add-sqr-sqrt
11×associate-*l*
10×add-cube-cbrt pow-prod-down
9×flip3-+ flip-+
8×frac-times associate-/l/
6×flip3-- associate-*r* flip--
4×cbrt-undiv times-frac div-exp associate-*l/ associate-/r* add-log-exp
3×*-commutative distribute-lft-out
2×associate-/r/
1×frac-2neg clear-num div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 123
Calls
4 calls:
6.0ms
(* z (+ y x))
12.0ms
(* (- y x) (* 6.0 (* z (+ y x))))
7.0ms
(* 6.0 (* z (+ y x)))
17.0ms
(/ (* (- y x) (* 6.0 (* z (+ y x)))) (+ y x))

series35.0ms

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

simplify59.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049741478
149741478

prune116.0ms

Filtered
80 candidates to 135 candidates (-68.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1332135
Fresh101
Picked101
Done022
Total1354139

Merged error: 0b

Counts
139 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ (/ 1 z) 6.0) (- y x))))
0.3b
(/ (/ (/ 1 z) 6.0) (- y x))
0.3b
(/ (/ 1 z) 6.0)
0.4b
(/ 1 (/ (/ (/ 1 z) 6.0) (- y x)))

rewrite352.0ms

Algorithm
rewrite-expression-head
Rules
3529×times-frac
1833×*-un-lft-identity
1830×add-sqr-sqrt
1398×add-cube-cbrt
229×associate-/r*
216×distribute-lft-out-- difference-of-squares
116×div-inv
82×add-exp-log
62×div-exp
59×associate-/l*
32×add-cbrt-cube
19×cbrt-undiv
11×rec-exp 1-exp associate-/r/
6×add-log-exp
5×pow1 flip3-- flip--
3×frac-2neg clear-num
2×associate-/l/ distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ inv-pow
Counts
4 → 1291
Calls
4 calls:
144.0ms
(+ x (/ 1 (/ (/ (/ 1 z) 6.0) (- y x))))
17.0ms
(/ (/ (/ 1 z) 6.0) (- y x))
6.0ms
(/ (/ 1 z) 6.0)
48.0ms
(/ 1 (/ (/ (/ 1 z) 6.0) (- y x)))

series26.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ x (/ 1 (/ (/ (/ 1 z) 6.0) (- y x))))
7.0ms
(/ (/ (/ 1 z) 6.0) (- y x))
2.0ms
(/ (/ 1 z) 6.0)
8.0ms
(/ 1 (/ (/ (/ 1 z) 6.0) (- y x)))

simplify211.0ms

Algorithm
egg-herbie
Counts
1303 → 1303
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
0502225659

prune1.8s

Filtered
611 candidates to 1303 candidates (-113.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New130211303
Fresh101
Picked011
Done112
Total130431307

Merged error: 0b

Counts
1307 → 3

regimes123.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1219

end0.0ms

sample412.0ms

Algorithm
intervals
Results
215.0ms8000×body80valid
18.0ms614×body80invalid

Profiling

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