Details

Time bar (total: 3.8s)

sample39.0ms

Algorithm
intervals
Results
13.0ms86×body1280valid
8.0ms48×body640valid
4.0ms22×body2560valid
2.0ms73×body80valid
2.0ms19×body320valid
0.0ms8×body160valid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0185
1435
2915
31945
43215
55795
610885
713055
813055

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: 44.5b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) z)
10.8b
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
7×*-un-lft-identity
4×add-sqr-sqrt sum-log
3×diff-log
2×pow1 add-exp-log add-cube-cbrt add-cbrt-cube distribute-lft-out--
1×+-commutative sub-neg flip3-- flip3-+ flip-- flip-+ distribute-lft-out associate--r+ difference-of-squares
Counts
2 → 29
Calls
2 calls:
4.0ms
(+ (* x y) z)
8.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series63.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ (* x y) z)
38.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0178220
1602204
22697203
35001203

prune72.0ms

Filtered
35 candidates to 24 candidates (68.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New29635
Fresh000
Picked011
Done000
Total29736

Merged error: 44.0b

Counts
36 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

8.6b
(cbrt (+ (* x y) z))
8.6b
(cbrt (+ (* x y) z))
8.6b
(cbrt (+ (* x y) z))
34.5b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-log-exp
7×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log add-cbrt-cube
3×flip3-+ pow1/3 flip-+
2×diff-log
1×sub-neg flip3-- sum-log flip-- associate--r+ distribute-lft-out-- difference-of-squares
Counts
4 → 55
Calls
4 calls:
4.0ms
(cbrt (+ (* x y) z))
4.0ms
(cbrt (+ (* x y) z))
4.0ms
(cbrt (+ (* x y) z))
5.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series357.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(cbrt (+ (* x y) z))
104.0ms
(cbrt (+ (* x y) z))
106.0ms
(cbrt (+ (* x y) z))
42.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify58.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0238686
1653594
22161559
35002520

prune251.0ms

Filtered
67 candidates to 59 candidates (88.1%)
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New531467
Fresh145
Picked011
Done011
Total542074

Merged error: 43.9b

Counts
74 → 20

localize18.0ms

Local error

Found 4 expressions with local error:

8.6b
(cbrt (+ (* x y) z))
34.5b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
34.5b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
34.5b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
11×add-sqr-sqrt *-un-lft-identity
6×diff-log
5×add-cube-cbrt
4×pow1 add-exp-log add-cbrt-cube
3×cbrt-prod sub-neg flip3-- sum-log flip-- associate--r+ distribute-lft-out-- difference-of-squares
2×cbrt-div
1×flip3-+ pow1/3 flip-+
Counts
4 → 61
Calls
4 calls:
4.0ms
(cbrt (+ (* x y) z))
5.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
5.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
5.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series224.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(cbrt (+ (* x y) z))
41.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
37.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
40.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify61.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
02381186
1653966
22161909
35002808

prune299.0ms

Filtered
73 candidates to 57 candidates (78.1%)
Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New69473
Fresh31417
Picked011
Done022
Total722193

Merged error: 43.9b

Counts
93 → 21

localize17.0ms

Local error

Found 4 expressions with local error:

8.6b
(cbrt (+ (* x y) z))
8.6b
(cbrt (+ (* x y) z))
8.6b
(cbrt (+ (* x y) z))
35.5b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-log-exp
7×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log add-cbrt-cube
3×flip3-+ pow1/3 flip-+
2×diff-log
1×sub-neg flip3-- sum-log flip-- associate--r+ distribute-lft-out-- difference-of-squares
Counts
4 → 55
Calls
4 calls:
4.0ms
(cbrt (+ (* x y) z))
4.0ms
(cbrt (+ (* x y) z))
4.0ms
(cbrt (+ (* x y) z))
5.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

series362.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(cbrt (+ (* x y) z))
106.0ms
(cbrt (+ (* x y) z))
112.0ms
(cbrt (+ (* x y) z))
39.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

simplify72.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0246916
1704846
22508828
35001822

prune240.0ms

Filtered
67 candidates to 58 candidates (86.6%)
Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New59867
Fresh21517
Picked101
Done033
Total622688

Merged error: 43.9b

Counts
88 → 26

regimes466.0ms

Accuracy

0% (0.7b remaining)

Error of 44.9b against oracle of 44.2b and baseline of 44.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample1.0s

Algorithm
intervals
Results
385.0ms2588×body1280valid
189.0ms1595×body640valid
114.0ms624×body2560valid
72.0ms2125×body80valid
66.0ms699×body320valid
22.0ms369×body160valid

Profiling

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