Details

Time bar (total: 2.8s)

sample18.0ms

Algorithm
intervals
Results
9.0ms274×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: 5.4b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

2.7b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.0b
(* 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:
7.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.0ms
(* y (+ 1.0 (* z z)))

series118.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
53.0ms
(* y (+ 1.0 (* z z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0409511
11963443
25001443

prune145.0ms

Filtered
76 candidates to 56 candidates (73.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New70676
Fresh000
Picked011
Done000
Total70777

Merged error: 4.5b

Counts
77 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 y) x)
5.1b
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

rewrite39.0ms

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)
13.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

series72.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (/ 1.0 y) x)
53.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify108.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
011322994
145722919
250012919

prune563.0ms

Filtered
270 candidates to 233 candidates (86.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2691270
Fresh055
Picked011
Done011
Total2698277

Merged error: 4.5b

Counts
277 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (/ 1.0 y) x)
0.7b
(/ 1 (+ 1.0 (* z z)))
4.8b
(* (/ (/ 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)))
24.0ms
(* (/ (/ 1.0 y) x) (/ 1 (+ 1.0 (* z z))))

series118.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (/ 1.0 y) x)
40.0ms
(/ 1 (+ 1.0 (* z z)))
60.0ms
(* (/ (/ 1.0 y) x) (/ 1 (+ 1.0 (* z z))))

simplify107.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
09391559
144821380
250011354

prune345.0ms

Filtered
210 candidates to 151 candidates (71.9%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2100210
Fresh055
Picked011
Done022
Total2108218

Merged error: 4.5b

Counts
218 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ 1.0 (* (* y (+ 1.0 (* z z))) x))
2.6b
(* (* y (+ 1.0 (* z z))) x)
5.0b
(* y (+ 1.0 (* z z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
10×pow1 add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×associate-*r/ associate-*r*
4×associate-*l* pow-prod-down associate-*l/
3×cbrt-undiv flip3-+ times-frac div-exp flip-+ associate-/l* add-log-exp
2×associate-/r/ *-commutative
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r* div-inv unswap-sqr
Counts
3 → 67
Calls
3 calls:
7.0ms
(/ 1.0 (* (* y (+ 1.0 (* z z))) x))
6.0ms
(* (* y (+ 1.0 (* z z))) x)
5.0ms
(* y (+ 1.0 (* z z)))

series171.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(/ 1.0 (* (* y (+ 1.0 (* z z))) x))
50.0ms
(* (* y (+ 1.0 (* z z))) x)
54.0ms
(* y (+ 1.0 (* z z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0367480
12077394
25002394

prune102.0ms

Filtered
76 candidates to 51 candidates (67.1%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New75176
Fresh134
Picked011
Done033
Total76884

Merged error: 4.5b

Counts
84 → 8

regimes246.0ms

Accuracy

0% (1.8b remaining)

Error of 7.0b against oracle of 5.2b and baseline of 7.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample462.0ms

Algorithm
intervals
Results
286.0ms8645×body80valid

Profiling

Loading profile data...