Details

Time bar (total: 14.3s)

analyze239.0ms

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

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms17×body80invalid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1375
2615
3915
41155
51215
61215

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

4.0b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.1b
(* y (+ 1.0 (* z z)))

rewrite14.0ms

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)))

series28.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
10.0ms
(* y (+ 1.0 (* z z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0409511
11963443
25001443

prune139.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New71576
Fresh000
Picked101
Done000
Total72577

Merged error: 5.2b

Counts
77 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 y) x)
6.7b
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

rewrite73.0ms

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:
10.0ms
(/ (/ 1.0 y) x)
25.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

series38.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (/ 1.0 y) x)
32.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify133.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
011322994
145722919
250012919

prune455.0ms

Filtered
233 candidates to 270 candidates (-15.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2682270
Fresh134
Picked101
Done000
Total2705275

Merged error: 5.2b

Counts
275 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ (/ (/ 1.0 y) x) (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
3.2b
(/ (/ (/ 1.0 y) x) (sqrt (+ 1.0 (* z z))))
13.6b
(sqrt (+ 1.0 (* z z)))
13.6b
(sqrt (+ 1.0 (* z z)))

rewrite359.0ms

Algorithm
rewrite-expression-head
Rules
6882×times-frac
2950×add-sqr-sqrt
2948×add-cube-cbrt *-un-lft-identity
1836×sqrt-prod
307×associate-/l*
205×div-inv
27×add-exp-log add-cbrt-cube
22×sqrt-div
18×associate-/r/
16×cbrt-undiv div-exp
12×associate-/r*
11×flip3-+ flip-+
6×pow1
4×add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 2231
Calls
4 calls:
75.0ms
(/ (/ (/ (/ 1.0 y) x) (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
17.0ms
(/ (/ (/ 1.0 y) x) (sqrt (+ 1.0 (* z z))))
2.0ms
(sqrt (+ 1.0 (* z z)))
2.0ms
(sqrt (+ 1.0 (* z z)))

series47.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (/ (/ (/ 1.0 y) x) (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
23.0ms
(/ (/ (/ 1.0 y) x) (sqrt (+ 1.0 (* z z))))
3.0ms
(sqrt (+ 1.0 (* z z)))
4.0ms
(sqrt (+ 1.0 (* z z)))

simplify598.0ms

Algorithm
egg-herbie
Counts
2243 → 2243
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
0500151298

prune10.8s

Filtered
1495 candidates to 2243 candidates (-50.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New224302243
Fresh044
Picked011
Done000
Total224352248

Merged error: 5.2b

Counts
2248 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1.0 (* x y))
6.7b
(/ (/ 1.0 (* x y)) (+ 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 (* x y))
7.0ms
(/ (/ 1.0 (* x y)) (+ 1.0 (* z z)))

series22.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ 1.0 (* x y))
19.0ms
(/ (/ 1.0 (* x y)) (+ 1.0 (* z z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0355570
11615514
25001514

prune86.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh033
Picked011
Done011
Total77582

Merged error: 5.2b

Counts
82 → 5

regimes356.0ms

Accuracy

47% (0.8b remaining)

Error of 5.9b against oracle of 5.1b and baseline of 6.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02417
12417

end0.0ms

analyze253.0ms

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

sample467.0ms

Algorithm
intervals
Results
284.0ms8000×body80valid
18.0ms445×body80invalid

Profiling

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