Details

Time bar (total: 1.8s)

analyze278.0ms

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

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms23×body80invalid

simplify27.0ms

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: 4.6b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
4.3b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite15.0ms

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)
8.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- 1.0 y) z)
11.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify34.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
04969430
14969430

prune83.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New42850
Fresh000
Picked101
Done000
Total43851

Merged error: 4.4b

Counts
51 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 1.0) (* x (* z (- y 1.0))))
0.0b
(* z (- y 1.0))
4.3b
(* x (* z (- y 1.0)))

rewrite22.0ms

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:
5.0ms
(+ (* x 1.0) (* x (* z (- y 1.0))))
6.0ms
(* z (- y 1.0))
9.0ms
(* x (* z (- y 1.0)))

series23.0ms

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)))

simplify46.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04997615
14997615

prune88.0ms

Filtered
47 candidates to 73 candidates (-55.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New70373
Fresh437
Picked011
Done000
Total74781

Merged error: 0.0b

Counts
81 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
3.4b
(* (* x z) (- y 1.0))

rewrite13.0ms

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))

simplify44.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04963415
14963415

prune60.0ms

Filtered
29 candidates to 43 candidates (-48.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New43043
Fresh055
Picked011
Done011
Total43750

Merged error: 0.0b

Counts
50 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(* z (* (- y 1.0) (cbrt x)))
3.1b
(* (* (cbrt x) (cbrt x)) (* z (* (- y 1.0) (cbrt x))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1 add-exp-log
21×add-cbrt-cube
18×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod associate-*r/
4×associate-*l* associate-*l/ add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 72
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
9.0ms
(* z (* (- y 1.0) (cbrt x)))
14.0ms
(* (* (cbrt x) (cbrt x)) (* z (* (- y 1.0) (cbrt x))))

series82.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt x)
21.0ms
(cbrt x)
25.0ms
(* z (* (- y 1.0) (cbrt x)))
12.0ms
(* (* (cbrt x) (cbrt x)) (* z (* (- y 1.0) (cbrt x))))

simplify56.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04995575
14995575

prune68.0ms

Filtered
50 candidates to 84 candidates (-68.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New83184
Fresh044
Picked011
Done022
Total83891

Merged error: 0b

Counts
91 → 8

regimes269.0ms

Accuracy

82.6% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.6b

bsearch24.0ms

Steps
ItersRangePoint
8
7.49133652003611e-26
3.674910031909298e-22
4.3948627298946285e-24
6
-2.7946511439311146e+96
-4.745954523498581e+95
-5.009911976276657e+95

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03831
13831

end0.0ms

sample423.0ms

Algorithm
intervals
Results
224.0ms8000×body80valid
19.0ms733×body80invalid

Profiling

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