Details

Time bar (total: 4.2s)

analyze869.0ms

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
0%99.9%0.1%6
0%99.9%0.1%7
0%99.9%0.1%8
12.5%85.8%1.7%9
16.4%79.2%4.4%10
20.7%72.4%7%11
32.6%53.3%14.1%12
36%45.5%18.5%13
38.3%41.1%20.6%14

sample30.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
5.0ms101×body80invalid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0227
1557
21017
31827
43357
57317
618287
750017

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.4b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

4.1b
(- (+ (* x x) (* y y)) (* z z))
27.4b
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-sqr-sqrt add-cbrt-cube add-log-exp
4×add-cube-cbrt *-un-lft-identity times-frac associate-/l*
3×difference-of-squares
2×pow1 cbrt-undiv flip3-- diff-log div-exp flip-- associate-/l/
1×sub-neg frac-2neg div-sub prod-exp associate--l+ clear-num associate-/r* sum-log cbrt-unprod div-inv
Counts
2 → 41
Calls
2 calls:
5.0ms
(- (+ (* x x) (* y y)) (* z z))
9.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series30.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(- (+ (* x x) (* y y)) (* z z))
19.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify33.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0275450
11168388
25001380

prune83.0ms

Filtered
35 candidates to 47 candidates (-34.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New41647
Fresh000
Picked101
Done000
Total42648

Merged error: 11.8b

Counts
48 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
0.0b
(+ y (/ (pow x 2) y))
8.5b
(/ (pow z 2) y)
10.9b
(/ (pow x 2) y)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
50×add-sqr-sqrt
45×*-un-lft-identity
38×add-cube-cbrt
25×unpow-prod-down
16×associate-/l*
14×add-exp-log
11×add-log-exp
9×unpow2 sqr-pow
8×add-cbrt-cube
6×div-exp associate-/r*
5×difference-of-squares
4×pow1
2×cbrt-undiv pow-to-exp frac-2neg flip3-+ diff-log pow-exp clear-num sum-log frac-sub flip-+ div-inv distribute-lft-out distribute-lft-out--
1×+-commutative sub-neg flip3-- associate--l+ flip--
Counts
4 → 133
Calls
4 calls:
19.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
8.0ms
(+ y (/ (pow x 2) y))
4.0ms
(/ (pow z 2) y)
5.0ms
(/ (pow x 2) y)

series27.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
6.0ms
(+ y (/ (pow x 2) y))
6.0ms
(/ (pow z 2) y)
3.0ms
(/ (pow x 2) y)

simplify48.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0419838
11459771
25002759

prune279.0ms

Filtered
92 candidates to 145 candidates (-57.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1378145
Fresh415
Picked101
Done000
Total1429151

Merged error: 0.8b

Counts
151 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
0.0b
(+ y (/ x (/ y x)))
0.2b
(/ x (/ y x))
8.5b
(/ (pow z 2) y)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
103×times-frac
75×add-sqr-sqrt
70×*-un-lft-identity
63×add-cube-cbrt
16×associate-/r*
14×add-exp-log
13×unpow-prod-down
11×add-cbrt-cube associate-/l* add-log-exp
6×div-exp div-inv
5×unpow2 difference-of-squares sqr-pow
4×pow1 cbrt-undiv
2×frac-2neg flip3-+ diff-log clear-num sum-log frac-sub flip-+ distribute-lft-out distribute-lft-out--
1×+-commutative pow-to-exp sub-neg flip3-- pow-exp associate--l+ associate-/r/ flip--
Counts
4 → 154
Calls
4 calls:
26.0ms
(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
24.0ms
(+ y (/ x (/ y x)))
9.0ms
(/ x (/ y x))
8.0ms
(/ (pow z 2) y)

series28.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
6.0ms
(+ y (/ x (/ y x)))
3.0ms
(/ x (/ y x))
3.0ms
(/ (pow z 2) y)

simplify74.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06051049
12708969
25002963

prune210.0ms

Filtered
112 candidates to 166 candidates (-48.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1642166
Fresh268
Picked101
Done000
Total1678175

Merged error: 0b

Counts
175 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ y (/ x (/ y x))) (* z (/ z y)))
0.0b
(+ y (/ x (/ y x)))
0.1b
(* z (/ z y))
0.2b
(/ x (/ y x))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
85×times-frac
59×add-sqr-sqrt
56×*-un-lft-identity
54×add-cube-cbrt
14×add-exp-log add-cbrt-cube
13×associate-*r* associate-/r*
11×add-log-exp
6×pow1 div-inv
4×cbrt-undiv div-exp
3×associate-*r/ associate-*l* associate-/l*
2×flip3-+ diff-log prod-exp sum-log frac-sub cbrt-unprod flip-+ unswap-sqr
1×+-commutative sub-neg flip3-- frac-2neg pow-prod-down associate--l+ clear-num associate-/r/ *-commutative flip-- distribute-lft-out
Counts
4 → 130
Calls
4 calls:
14.0ms
(- (+ y (/ x (/ y x))) (* z (/ z y)))
14.0ms
(+ y (/ x (/ y x)))
6.0ms
(* z (/ z y))
5.0ms
(/ x (/ y x))

series24.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(- (+ y (/ x (/ y x))) (* z (/ z y)))
6.0ms
(+ y (/ x (/ y x)))
3.0ms
(* z (/ z y))
3.0ms
(/ x (/ y x))

simplify79.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0599849
12991786
25002779

prune158.0ms

Filtered
101 candidates to 142 candidates (-40.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1420142
Fresh077
Picked011
Done000
Total1428150

Merged error: 0b

Counts
150 → 8

regimes501.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

analyze680.0ms

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
0%99.9%0.1%6
0%99.9%0.1%7
0%99.9%0.1%8
12.5%85.8%1.7%9
16.4%79.2%4.4%10
20.7%72.4%7%11
32.6%53.3%14.1%12
36%45.5%18.5%13
38.3%41.1%20.6%14

sample792.0ms

Algorithm
intervals
Results
390.0ms8000×body80valid
148.0ms3025×body80invalid

Profiling

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