Details

Time bar (total: 2.7s)

sample18.0ms

Algorithm
intervals
Results
8.0ms276×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

localize8.0ms

Local error

Found 2 expressions with local error:

3.7b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.2b
(* y (+ 1.0 (* z z)))

rewrite20.0ms

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:
12.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
6.0ms
(* y (+ 1.0 (* z z)))

series131.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
61.0ms
(* y (+ 1.0 (* z z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0409511
11963443
25001443

prune194.0ms

Filtered
76 candidates to 56 candidates (73.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New67976
Fresh000
Picked101
Done000
Total68977

Merged error: 5.2b

Counts
77 → 9

localize9.0ms

Local error

Found 2 expressions with local error:

3.0b
(* (/ 1 y) (/ (/ 1.0 x) (+ 1.0 (* z z))))
5.7b
(/ (/ 1.0 x) (+ 1.0 (* z z)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
116×add-sqr-sqrt
89×*-un-lft-identity
86×add-cube-cbrt
46×add-exp-log
45×associate-*r*
28×add-cbrt-cube
21×div-exp
13×associate-*l* associate-/l*
12×cbrt-undiv prod-exp
10×div-inv
9×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 → 169
Calls
2 calls:
27.0ms
(* (/ 1 y) (/ (/ 1.0 x) (+ 1.0 (* z z))))
8.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

series142.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(* (/ 1 y) (/ (/ 1.0 x) (+ 1.0 (* z z))))
73.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

simplify118.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
09221637
145381473
250031467

prune400.0ms

Filtered
175 candidates to 133 candidates (76.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1723175
Fresh268
Picked101
Done000
Total1759184

Merged error: 5.2b

Counts
184 → 9

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1.0 (* (+ 1.0 (* z z)) x))
3.0b
(* (/ 1 y) (/ 1.0 (* (+ 1.0 (* z z)) x)))
5.5b
(* (+ 1.0 (* z z)) x)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-cbrt-cube
25×add-sqr-sqrt
18×prod-exp
17×*-un-lft-identity times-frac
16×add-cube-cbrt div-exp associate-*l*
12×associate-*r*
10×cbrt-unprod
9×cbrt-undiv
7×pow1 associate-*l/
4×associate-/r/ unswap-sqr
3×rec-exp flip3-+ 1-exp flip-+ div-inv associate-/l* add-log-exp
2×pow-prod-down *-commutative
1×frac-times frac-2neg associate-*r/ clear-num associate-/r*
Counts
3 → 98
Calls
3 calls:
6.0ms
(/ 1.0 (* (+ 1.0 (* z z)) x))
14.0ms
(* (/ 1 y) (/ 1.0 (* (+ 1.0 (* z z)) x)))
6.0ms
(* (+ 1.0 (* z z)) x)

series167.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ 1.0 (* (+ 1.0 (* z z)) x))
74.0ms
(* (/ 1 y) (/ 1.0 (* (+ 1.0 (* z z)) x)))
39.0ms
(* (+ 1.0 (* z z)) x)

simplify83.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0531783
12989643
25002637

prune199.0ms

Filtered
107 candidates to 71 candidates (66.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1052107
Fresh178
Picked011
Done000
Total10610116

Merged error: 5.2b

Counts
116 → 10

localize11.0ms

Local error

Found 2 expressions with local error:

3.0b
(/ (/ 1.0 y) (* (+ 1.0 (* z z)) x))
5.5b
(* (+ 1.0 (* z z)) x)

rewrite17.0ms

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-*l/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 68
Calls
2 calls:
9.0ms
(/ (/ 1.0 y) (* (+ 1.0 (* z z)) x))
6.0ms
(* (+ 1.0 (* z z)) x)

series112.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(/ (/ 1.0 y) (* (+ 1.0 (* z z)) x))
39.0ms
(* (+ 1.0 (* z z)) x)

simplify55.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0408524
11864453
25002453

prune138.0ms

Filtered
74 candidates to 54 candidates (73.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh088
Picked011
Done011
Total741084

Merged error: 5.2b

Counts
84 → 10

regimes317.0ms

Accuracy

0% (1.7b remaining)

Error of 6.8b against oracle of 5.1b and baseline of 6.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample421.0ms

Algorithm
intervals
Results
248.0ms8620×body80valid

Profiling

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