Details

Time bar (total: 3.5s)

sample19.0ms

Algorithm
intervals
Results
9.0ms283×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: 8.0b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

4.3b
(* y (+ 1.0 (* z z)))
4.4b
(/ (/ 1.0 x) (* 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:
5.0ms
(* y (+ 1.0 (* z z)))
8.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series108.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* y (+ 1.0 (* z z)))
59.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify48.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0409511
11963443
25001443

prune144.0ms

Filtered
76 candidates to 56 candidates (73.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New69776
Fresh000
Picked011
Done000
Total69877

Merged error: 6.0b

Counts
77 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

3.1b
(* (/ 1 y) (/ (/ 1.0 x) (+ 1.0 (* z z))))
5.2b
(/ (/ 1.0 x) (+ 1.0 (* z z)))

rewrite40.0ms

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

series124.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(* (/ 1 y) (/ (/ 1.0 x) (+ 1.0 (* z z))))
55.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

simplify103.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
09221637
145381473
250031467

prune335.0ms

Filtered
175 candidates to 134 candidates (76.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1732175
Fresh156
Picked101
Done101
Total1767183

Merged error: 6.0b

Counts
183 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

3.0b
(/ (/ (/ 1.0 x) (+ 1.0 (* z z))) y)
5.2b
(/ (/ 1.0 x) (+ 1.0 (* z z)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
474×times-frac
230×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
58×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
10×associate-/r/
9×cbrt-undiv div-exp
6×associate-/r*
5×flip3-+ flip-+
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
2 → 272
Calls
2 calls:
14.0ms
(/ (/ (/ 1.0 x) (+ 1.0 (* z z))) y)
7.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

series124.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ (/ (/ 1.0 x) (+ 1.0 (* z z))) y)
60.0ms
(/ (/ 1.0 x) (+ 1.0 (* z z)))

simplify58.0ms

Algorithm
egg-herbie
Counts
278 → 278
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
012443345
150013259

prune806.0ms

Filtered
278 candidates to 243 candidates (87.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2771278
Fresh156
Picked011
Done000
Total2787285

Merged error: 6.0b

Counts
285 → 7

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)))

series78.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (/ 1.0 y) x)
59.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify113.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
011322994
145722919
250022919

prune567.0ms

Filtered
270 candidates to 233 candidates (86.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2691270
Fresh145
Picked011
Done011
Total2707277

Merged error: 6.0b

Counts
277 → 7

regimes190.0ms

Accuracy

0% (1.4b remaining)

Error of 6.0b against oracle of 4.6b and baseline of 6.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample470.0ms

Algorithm
intervals
Results
292.0ms8631×body80valid