Details

Time bar (total: 2.5s)

sample20.0ms

Algorithm
intervals
Results
9.0ms277×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1375
2615
3915
41155
51215
61215

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

3.3b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.8b
(* y (+ 1.0 (* z z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*r/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 70
Calls
2 calls:
11.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.0ms
(* y (+ 1.0 (* z z)))

series113.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
53.0ms
(* y (+ 1.0 (* z z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0409511
11963443
25001443

prune163.0ms

Filtered
76 candidates to 56 candidates (73.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New70676
Fresh000
Picked101
Done000
Total71677

Merged error: 6.2b

Counts
77 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1 (* y (+ 1.0 (* z z))))
3.1b
(* (/ 1.0 x) (/ 1 (* y (+ 1.0 (* z z)))))
4.8b
(* y (+ 1.0 (* z z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×add-cbrt-cube
24×prod-exp
23×add-sqr-sqrt
19×div-exp
16×add-cube-cbrt *-un-lft-identity times-frac associate-*l*
12×associate-*r*
10×pow1 cbrt-unprod
9×cbrt-undiv
7×associate-*r/
6×rec-exp 1-exp
4×associate-/r/
3×flip3-+ pow-prod-down flip-+ div-inv associate-/l* add-log-exp unswap-sqr
2×pow-flip *-commutative
1×distribute-rgt-in frac-times frac-2neg distribute-lft-in associate-*l/ clear-num associate-/r* un-div-inv inv-pow
Counts
3 → 109
Calls
3 calls:
6.0ms
(/ 1 (* y (+ 1.0 (* z z))))
12.0ms
(* (/ 1.0 x) (/ 1 (* y (+ 1.0 (* z z)))))
5.0ms
(* y (+ 1.0 (* z z)))

series170.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ 1 (* y (+ 1.0 (* z z))))
60.0ms
(* (/ 1.0 x) (/ 1 (* y (+ 1.0 (* z z)))))
57.0ms
(* y (+ 1.0 (* z z)))

simplify79.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0544773
13059634
25001624

prune165.0ms

Filtered
118 candidates to 70 candidates (59.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1144118
Fresh415
Picked101
Done000
Total1195124

Merged error: 6.2b

Counts
124 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

3.1b
(* (/ 1.0 x) (/ (/ 1 y) (+ 1.0 (* z z))))
4.9b
(/ (/ 1 y) (+ 1.0 (* z z)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
164×times-frac
114×add-sqr-sqrt
88×*-un-lft-identity
86×add-cube-cbrt
46×add-exp-log
45×associate-*r*
28×add-cbrt-cube
23×div-exp
13×associate-*l* associate-/l*
12×cbrt-undiv
10×prod-exp div-inv
8×unswap-sqr
6×cbrt-unprod
4×pow1 associate-/r/
3×rec-exp 1-exp associate-/r*
2×flip3-+ flip-+ add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 168
Calls
2 calls:
22.0ms
(* (/ 1.0 x) (/ (/ 1 y) (+ 1.0 (* z z))))
13.0ms
(/ (/ 1 y) (+ 1.0 (* z z)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* (/ 1.0 x) (/ (/ 1 y) (+ 1.0 (* z z))))
57.0ms
(/ (/ 1 y) (+ 1.0 (* z z)))

simplify99.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
08891622
143571445
250021360

prune271.0ms

Filtered
174 candidates to 110 candidates (63.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1731174
Fresh134
Picked011
Done000
Total1745179

Merged error: 6.2b

Counts
179 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1.0 (* y (+ 1.0 (* z z))))
3.0b
(/ (/ 1.0 (* y (+ 1.0 (* z z)))) x)
4.8b
(* y (+ 1.0 (* z z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
27×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
12×associate-*r/ associate-/l*
10×associate-/r/
7×cbrt-undiv div-exp
6×flip3-+ flip-+ div-inv
5×pow1
4×associate-/r*
3×associate-*r* associate-*l* prod-exp cbrt-unprod add-log-exp
2×frac-2neg clear-num
1×distribute-rgt-in distribute-lft-in pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 101
Calls
3 calls:
5.0ms
(/ 1.0 (* y (+ 1.0 (* z z))))
9.0ms
(/ (/ 1.0 (* y (+ 1.0 (* z z)))) x)
5.0ms
(* y (+ 1.0 (* z z)))

series178.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ 1.0 (* y (+ 1.0 (* z z))))
66.0ms
(/ (/ 1.0 (* y (+ 1.0 (* z z)))) x)
56.0ms
(* y (+ 1.0 (* z z)))

simplify68.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0519841
12748759
25001758

prune187.0ms

Filtered
110 candidates to 85 candidates (77.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh033
Picked011
Done011
Total1105115

Merged error: 6.2b

Counts
115 → 5

regimes150.0ms

Accuracy

0% (1.5b remaining)

Error of 6.4b against oracle of 4.9b and baseline of 6.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample483.0ms

Algorithm
intervals
Results
303.0ms8615×body80valid

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