Details

Time bar (total: 3.8s)

sample38.0ms

Algorithm
intervals
Results
13.0ms88×body1280valid
6.0ms48×body640valid
4.0ms25×body2560valid
2.0ms66×body80valid
2.0ms22×body320valid
0.0ms7×body160valid

simplify29.0ms

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: 45.5b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) z)
9.9b
(- (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)))

series59.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ (* x y) z)
38.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0178220
1602204
22697203
35001203

prune80.0ms

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: 45.0b

Counts
36 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

8.3b
(cbrt (+ (* x y) z))
8.3b
(cbrt (+ (* x y) z))
8.3b
(cbrt (+ (* x y) z))
32.3b
(- (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)))))

series351.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(cbrt (+ (* x y) z))
103.0ms
(cbrt (+ (* x y) z))
109.0ms
(cbrt (+ (* x y) z))
36.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0238686
1653594
22161559
35002523

prune254.0ms

Filtered
67 candidates to 59 candidates (88.1%)
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New541367
Fresh055
Picked011
Done011
Total542074

Merged error: 44.9b

Counts
74 → 20

localize19.0ms

Local error

Found 4 expressions with local error:

8.3b
(cbrt (+ (* x y) z))
32.3b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
32.3b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
32.3b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite20.0ms

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)))))

series218.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(cbrt (+ (* x y) z))
40.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
36.0ms
(- (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)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
02381186
1653966
22161909
35002809

prune294.0ms

Filtered
73 candidates to 57 candidates (78.1%)
Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New69473
Fresh21517
Picked011
Done022
Total712293

Merged error: 44.9b

Counts
93 → 22

localize20.0ms

Local error

Found 4 expressions with local error:

8.3b
(cbrt (+ (* x y) z))
8.3b
(cbrt (+ (* x y) z))
8.3b
(cbrt (+ (* x y) z))
31.4b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (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 (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))) (cbrt (+ (* x y) z)))))

series355.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(cbrt (+ (* x y) z))
109.0ms
(cbrt (+ (* x y) z))
103.0ms
(cbrt (+ (* x y) z))
38.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))) (cbrt (+ (* x y) z)))))

simplify70.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
0247939
1680849
22445771
35002646

prune228.0ms

Filtered
67 candidates to 59 candidates (88.1%)
Pruning

28 alts after pruning (24 fresh and 4 done)

PrunedKeptTotal
New61667
Fresh01818
Picked011
Done033
Total612889

Merged error: 44.9b

Counts
89 → 28

regimes492.0ms

Accuracy

0% (0.7b remaining)

Error of 45.5b against oracle of 44.8b and baseline of 45.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample1.1s

Algorithm
intervals
Results
406.0ms2651×body1280valid
201.0ms1609×body640valid
111.0ms599×body2560valid
72.0ms2055×body80valid
70.0ms738×body320valid
27.0ms348×body160valid

Profiling

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