Details

Time bar (total: 2.0s)

analyze280.0ms

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
31.2%68.6%0.1%8
35.9%60.8%3.3%9
44.1%48%7.9%10
54.8%36.9%8.3%11
57.6%31.5%10.9%12
61.9%24%14.1%13
67.2%18.6%14.2%14

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms16×body80invalid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
07339
17339

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: 2.4b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
2.3b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×sub-neg flip3-- associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-rgt-in distribute-lft-in distribute-lft-out-- difference-of-squares
Counts
2 → 44
Calls
2 calls:
6.0ms
(* (- 1.0 y) z)
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series18.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (- 1.0 y) z)
11.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify36.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04969430
14969430

prune98.0ms

Filtered
36 candidates to 50 candidates (-38.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New401050
Fresh000
Picked101
Done000
Total411051

Merged error: 2.2b

Counts
51 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 1.0) (* x (* z (- y 1.0))))
0.0b
(* z (- y 1.0))
2.3b
(* x (* z (- y 1.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-sqr-sqrt sub-neg add-cbrt-cube
9×distribute-rgt-in distribute-lft-in
8×*-un-lft-identity
6×add-cube-cbrt associate-*r/ associate-*r* associate-*l*
5×add-log-exp
4×associate-+r+ pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
4.0ms
(+ (* x 1.0) (* x (* z (- y 1.0))))
6.0ms
(* z (- y 1.0))
7.0ms
(* x (* z (- y 1.0)))

series24.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ (* x 1.0) (* x (* z (- y 1.0))))
4.0ms
(* z (- y 1.0))
8.0ms
(* x (* z (- y 1.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04997615
14997615

prune93.0ms

Filtered
46 candidates to 73 candidates (-58.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New70373
Fresh549
Picked101
Done000
Total76783

Merged error: 0.0b

Counts
83 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
3.2b
(* (* x z) (- y 1.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*r*
4×sub-neg add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 37
Calls
2 calls:
4.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
7.0ms
(* (* x z) (- y 1.0))

series19.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
8.0ms
(* (* x z) (- y 1.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04963415
14963415

prune65.0ms

Filtered
30 candidates to 43 candidates (-43.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New41243
Fresh246
Picked011
Done000
Total43750

Merged error: 0.0b

Counts
50 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.3b
(cbrt (- y 1.0))
1.3b
(* x (* z (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))))
1.3b
(* (* x (* z (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))) (cbrt (- y 1.0)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
74×associate-*r/
70×cbrt-div
35×flip3-- flip--
32×frac-times
27×pow1 add-exp-log
19×add-cbrt-cube
16×pow-prod-down associate-*l/ prod-exp cbrt-unprod
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
9×add-cube-cbrt associate-*r*
4×associate-*l* add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative
Counts
4 → 114
Calls
4 calls:
3.0ms
(cbrt (- y 1.0))
3.0ms
(cbrt (- y 1.0))
14.0ms
(* x (* z (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))))
19.0ms
(* (* x (* z (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))) (cbrt (- y 1.0)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(cbrt (- y 1.0))
7.0ms
(cbrt (- y 1.0))
32.0ms
(* x (* z (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))))
12.0ms
(* (* x (* z (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))) (cbrt (- y 1.0)))

simplify74.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049192124
149192124

prune193.0ms

Filtered
78 candidates to 126 candidates (-61.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1251126
Fresh055
Picked011
Done011
Total1258133

Merged error: 0.0b

Counts
133 → 8

regimes343.0ms

Accuracy

91.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07041
17041

end0.0ms

sample404.0ms

Algorithm
intervals
Results
221.0ms8000×body80valid
21.0ms695×body80invalid

Profiling

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