Details

Time bar (total: 3.9s)

sample16.0ms

Algorithm
intervals
Results
7.0ms276×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: 6.4b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

3.6b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.5b
(* y (+ 1.0 (* z z)))

rewrite15.0ms

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:
8.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.0ms
(* y (+ 1.0 (* z z)))

series108.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
54.0ms
(* y (+ 1.0 (* z z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0409511
11963443
25001443

prune154.0ms

Filtered
76 candidates to 56 candidates (73.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New68876
Fresh000
Picked101
Done000
Total69877

Merged error: 5.0b

Counts
77 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 y) x)
6.3b
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
56×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 frac-2neg clear-num associate-/r/ associate-/l/ add-log-exp
1×flip3-+ flip-+
Counts
2 → 264
Calls
2 calls:
6.0ms
(/ (/ 1.0 y) x)
14.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

series76.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (/ 1.0 y) x)
58.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify108.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
011322994
145722919
250022919

prune702.0ms

Filtered
270 candidates to 233 candidates (86.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2673270
Fresh527
Picked011
Done000
Total2726278

Merged error: 5.0b

Counts
278 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

2.6b
(* (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))))
4.1b
(/ (/ 1 x) (+ 1.0 (* z z)))

rewrite41.0ms

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:
25.0ms
(* (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))))
7.0ms
(/ (/ 1 x) (+ 1.0 (* z z)))

series108.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(* (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))))
51.0ms
(/ (/ 1 x) (+ 1.0 (* z z)))

simplify88.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
08881623
143251446
250021361

prune305.0ms

Filtered
174 candidates to 109 candidates (62.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1722174
Fresh224
Picked011
Done011
Total1746180

Merged error: 5.0b

Counts
180 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ 1.0 y) (sqrt (+ 1.0 (* z z))))
0.8b
(* (/ (/ 1.0 y) (sqrt (+ 1.0 (* z z)))) (/ (/ (sqrt 1) x) (sqrt (+ 1.0 (* z z)))))
17.0b
(sqrt (+ 1.0 (* z z)))
17.0b
(sqrt (+ 1.0 (* z z)))

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
637×times-frac
481×add-sqr-sqrt
285×*-un-lft-identity
275×add-cube-cbrt
265×sqrt-prod
138×associate-*r*
84×associate-*l*
45×add-exp-log add-cbrt-cube unswap-sqr
22×div-inv
21×cbrt-undiv div-exp
13×associate-/l*
10×sqrt-div
9×prod-exp cbrt-unprod
8×pow1
6×associate-/r* associate-/r/
5×flip3-+ flip-+
4×add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 441
Calls
4 calls:
9.0ms
(/ (/ 1.0 y) (sqrt (+ 1.0 (* z z))))
162.0ms
(* (/ (/ 1.0 y) (sqrt (+ 1.0 (* z z)))) (/ (/ (sqrt 1) x) (sqrt (+ 1.0 (* z z)))))
2.0ms
(sqrt (+ 1.0 (* z z)))
3.0ms
(sqrt (+ 1.0 (* z z)))

series231.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(/ (/ 1.0 y) (sqrt (+ 1.0 (* z z))))
67.0ms
(* (/ (/ 1.0 y) (sqrt (+ 1.0 (* z z)))) (/ (/ (sqrt 1) x) (sqrt (+ 1.0 (* z z)))))
42.0ms
(sqrt (+ 1.0 (* z z)))
50.0ms
(sqrt (+ 1.0 (* z z)))

simplify99.0ms

Algorithm
egg-herbie
Counts
453 → 453
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
018986733
150026184

prune1.0s

Filtered
453 candidates to 264 candidates (58.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New4530453
Fresh033
Picked011
Done022
Total4536459

Merged error: 5.0b

Counts
459 → 6

regimes133.0ms

Accuracy

0% (1.5b remaining)

Error of 6.2b against oracle of 4.7b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample401.0ms

Algorithm
intervals
Results
236.0ms8635×body80valid