Details

Time bar (total: 2.7s)

analyze361.0ms

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
12.5%87.4%0.1%7
26.5%73.3%0.1%8
33.5%66.3%0.1%9
49.1%50.7%0.1%10
56.9%42.9%0.1%11
60.8%39%0.1%12
69%30.9%0.1%13
72.5%27.3%0.1%14

sample38.0ms

Algorithm
intervals
Results
15.0ms91×body1280valid
5.0ms42×body640valid
3.0ms20×body2560valid
2.0ms70×body80valid
2.0ms20×body320valid
1.0ms13×body160valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
052212
152212

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 44.0b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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 → 28
Calls
2 calls:
4.0ms
(+ (* x y) z)
8.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+ (* x y) z)
9.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify31.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
04788439
14788439

prune66.0ms

Filtered
24 candidates to 34 candidates (-41.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New27734
Fresh000
Picked101
Done000
Total28735

Merged error: 43.4b

Counts
35 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
36×add-log-exp
21×*-un-lft-identity
12×sum-log
10×add-sqr-sqrt
9×diff-log
6×distribute-lft-out--
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube distribute-lft-out
3×sub-neg flip3-- flip-- associate--r+ difference-of-squares
1×+-commutative associate-+r+ flip3-+ flip-+
Counts
4 → 65
Calls
4 calls:
5.0ms
(+ z (+ 1.0 (* x y)))
7.0ms
(- (fma x y z) (+ z (+ 1.0 (* x y))))
7.0ms
(- (fma x y z) (+ z (+ 1.0 (* x y))))
7.0ms
(- (fma x y z) (+ z (+ 1.0 (* x y))))

series33.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ z (+ 1.0 (* x y)))
9.0ms
(- (fma x y z) (+ z (+ 1.0 (* x y))))
9.0ms
(- (fma x y z) (+ z (+ 1.0 (* x y))))
9.0ms
(- (fma x y z) (+ z (+ 1.0 (* x y))))

simplify41.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049461149
149461149

prune127.0ms

Filtered
48 candidates to 77 candidates (-60.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New77077
Fresh066
Picked011
Done000
Total77784

Merged error: 43.4b

Counts
84 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

8.4b
(cbrt (+ z (* x y)))
8.4b
(cbrt (+ z (* x y)))
8.4b
(cbrt (+ z (* x y)))
33.0b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y)))) (cbrt (+ z (* x y))))))

rewrite14.0ms

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 → 54
Calls
4 calls:
2.0ms
(cbrt (+ z (* x y)))
2.0ms
(cbrt (+ z (* x y)))
3.0ms
(cbrt (+ z (* x y)))
5.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y)))) (cbrt (+ z (* x y))))))

series95.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (+ z (* x y)))
28.0ms
(cbrt (+ z (* x y)))
30.0ms
(cbrt (+ z (* x y)))
10.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y)))) (cbrt (+ z (* x y))))))

simplify42.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05030812

prune138.0ms

Filtered
52 candidates to 66 candidates (-26.9%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New541266
Fresh235
Picked101
Done011
Total571673

Merged error: 43.3b

Counts
73 → 16

localize17.0ms

Local error

Found 4 expressions with local error:

8.4b
(cbrt (+ z (* x y)))
8.4b
(cbrt (+ z (* x y)))
8.4b
(cbrt (+ z (* x y)))
32.7b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y)))) (* (* (cbrt (cbrt (+ z (* x y)))) (cbrt (cbrt (+ z (* x y))))) (cbrt (cbrt (+ z (* x y))))))))

rewrite15.0ms

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 → 54
Calls
4 calls:
3.0ms
(cbrt (+ z (* x y)))
3.0ms
(cbrt (+ z (* x y)))
3.0ms
(cbrt (+ z (* x y)))
6.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y)))) (* (* (cbrt (cbrt (+ z (* x y)))) (cbrt (cbrt (+ z (* x y))))) (cbrt (cbrt (+ z (* x y))))))))

series95.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (+ z (* x y)))
27.0ms
(cbrt (+ z (* x y)))
29.0ms
(cbrt (+ z (* x y)))
10.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ z (* x y))) (cbrt (+ z (* x y)))) (* (* (cbrt (cbrt (+ z (* x y)))) (cbrt (cbrt (+ z (* x y))))) (cbrt (cbrt (+ z (* x y))))))))

simplify44.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04995800
14995800

prune82.0ms

Filtered
52 candidates to 66 candidates (-26.9%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New62466
Fresh11314
Picked101
Done011
Total641882

Merged error: 43.3b

Counts
82 → 18

regimes359.0ms

Accuracy

0% (0.7b remaining)

Error of 44.8b against oracle of 44.1b and baseline of 44.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07441
17441

end0.0ms

sample1.0s

Algorithm
intervals
Results
397.0ms2675×body1280valid
184.0ms1555×body640valid
104.0ms590×body2560valid
79.0ms2138×body80valid
62.0ms701×body320valid
21.0ms341×body160valid

Profiling

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