Details

Time bar (total: 2.4s)

analyze217.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
25%74.9%0.1%6
25%74.9%0.1%7
43.7%56.2%0.1%8
62.4%37.4%0.1%9
65.5%34.3%0.1%10
71.8%27.7%0.5%11
79.2%19.7%1.1%12
80.2%18.7%1.1%13
82.8%15%2.2%14

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms11×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08211
18211

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.1b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

3.3b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
3.8b
(* y (+ 1.0 (* z z)))

rewrite16.0ms

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)))

series26.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
9.0ms
(* y (+ 1.0 (* z z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04985885
14985885

prune127.0ms

Filtered
56 candidates to 76 candidates (-35.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New661076
Fresh101
Picked101
Done000
Total681078

Merged error: 4.3b

Counts
78 → 10

localize9.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1.0 (* y x))
5.3b
(/ (/ 1.0 (* y x)) (+ 1.0 (* z z)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
10×associate-/l*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/r*
2×pow1 frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod add-log-exp
1×flip3-+ flip-+ associate-/l/
Counts
2 → 71
Calls
2 calls:
4.0ms
(/ 1.0 (* y x))
7.0ms
(/ (/ 1.0 (* y x)) (+ 1.0 (* z z)))

series20.0ms

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

simplify45.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
053141021

prune117.0ms

Filtered
59 candidates to 77 candidates (-30.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New75277
Fresh459
Picked011
Done000
Total79887

Merged error: 4.3b

Counts
87 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 y) x)
5.3b
(/ (/ (/ 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:
5.0ms
(/ (/ 1.0 y) x)
13.0ms
(/ (/ (/ 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)))

simplify77.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049865243
149865243

prune424.0ms

Filtered
234 candidates to 270 candidates (-15.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2682270
Fresh156
Picked101
Done011
Total2708278

Merged error: 4.3b

Counts
278 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (+ 1.0 (* z z)))
0.2b
(/ (/ 1.0 y) x)
5.3b
(* (/ (/ 1.0 y) x) (/ 1 (+ 1.0 (* z z))))

rewrite39.0ms

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:
4.0ms
(/ 1 (+ 1.0 (* z z)))
5.0ms
(/ (/ 1.0 y) x)
20.0ms
(* (/ (/ 1.0 y) x) (/ 1 (+ 1.0 (* z z))))

series26.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ 1 (+ 1.0 (* z z)))
3.0ms
(/ (/ 1.0 y) x)
19.0ms
(* (/ (/ 1.0 y) x) (/ 1 (+ 1.0 (* z z))))

simplify55.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
049792545
149792545

prune232.0ms

Filtered
156 candidates to 210 candidates (-34.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2100210
Fresh066
Picked011
Done011
Total2108218

Merged error: 4.3b

Counts
218 → 8

regimes389.0ms

Accuracy

68.2% (0.6b remaining)

Error of 5.8b against oracle of 5.2b and baseline of 7.1b

bsearch23.0ms

Steps
ItersRangePoint
6
1.125066298356605e-193
5.63971487695594e-193
4.9431509416741565e-193
7
-2.5038822074791356e-83
-9.010700309214668e-85
-2.4731925580585136e-83

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03145
13145

end0.0ms

sample440.0ms

Algorithm
intervals
Results
272.0ms8000×body80valid
15.0ms458×body80invalid

Profiling

Loading profile data...