Details

Time bar (total: 7.5s)

sample23.0ms

Algorithm
intervals
Results
8.0ms269×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1375
2615
3915
41155
51215
61215

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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
(* y (+ 1.0 (* z z)))
3.9b
(/ (/ 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))))

series27.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(* y (+ 1.0 (* z z)))
18.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify48.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0409511
11963443
25001443

prune240.0ms

Filtered
76 candidates to 56 candidates (26.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New71576
Fresh000
Picked101
Done000
Total72577

Merged error: 5.1b

Counts
77 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 y) x)
6.0b
(/ (/ (/ 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)))

series21.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (/ 1.0 y) x)
17.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify113.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011322994
145722919
250012919

prune2.4s

Filtered
270 candidates to 233 candidates (13.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2673270
Fresh224
Picked011
Done000
Total2696275

Merged error: 5.1b

Counts
275 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (/ 1.0 y) x)
0.2b
(/ 1 (+ 1.0 (* z z)))
5.8b
(* (/ (/ 1.0 y) x) (/ 1 (+ 1.0 (* z z))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
125×add-sqr-sqrt
98×*-un-lft-identity
95×add-cube-cbrt
51×add-exp-log
43×associate-*l*
31×add-cbrt-cube
23×div-exp
16×associate-/l*
15×associate-*r*
13×cbrt-undiv
12×prod-exp
11×div-inv
9×unswap-sqr
6×pow1 associate-/r* cbrt-unprod
4×rec-exp 1-exp associate-/r/
3×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative associate-/l/ inv-pow
Counts
3 → 201
Calls
3 calls:
6.0ms
(/ (/ 1.0 y) x)
4.0ms
(/ 1 (+ 1.0 (* z z)))
25.0ms
(* (/ (/ 1.0 y) x) (/ 1 (+ 1.0 (* z z))))

series24.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ (/ 1.0 y) x)
3.0ms
(/ 1 (+ 1.0 (* z z)))
17.0ms
(* (/ (/ 1.0 y) x) (/ 1 (+ 1.0 (* z z))))

simplify97.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
09391559
144821380
250011354

prune1.2s

Filtered
210 candidates to 151 candidates (28.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2100210
Fresh044
Picked011
Done011
Total2106216

Merged error: 5.1b

Counts
216 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))
1.8b
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
4.2b
(* (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) y) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
192×times-frac
134×add-sqr-sqrt
121×cbrt-prod
110×add-cube-cbrt *-un-lft-identity
54×associate-*r*
27×add-exp-log
19×add-cbrt-cube
16×associate-/l*
12×div-inv
8×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
7×associate-*l*
6×pow1
4×associate-/r/ add-log-exp
3×cbrt-div associate-/r*
2×flip3-+ pow1/3 flip-+
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 219
Calls
4 calls:
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))
7.0ms
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
29.0ms
(* (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) y) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))

series137.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(cbrt (/ 1.0 x))
27.0ms
(cbrt (/ 1.0 x))
40.0ms
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
26.0ms
(* (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) y) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))

simplify110.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
09192794
145002591
250012499

prune2.0s

Filtered
231 candidates to 195 candidates (15.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2292231
Fresh033
Picked011
Done022
Total2298237

Merged error: 3.8b

Counts
237 → 8

regimes457.0ms

Accuracy

0% (2.1b remaining)

Error of 6.5b against oracle of 4.4b and baseline of 6.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample560.0ms

Algorithm
intervals
Results
274.0ms8602×body80valid

Profiling

Loading profile data...