Details

Time bar (total: 2.5s)

sample43.0ms

Algorithm
intervals
Results
13.0ms76×body1280valid
6.0ms45×body640valid
4.0ms20×body2560valid
3.0ms29×body320valid
3.0ms77×body80valid
1.0ms9×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

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 42.8b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) z)
10.6b
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite15.0ms

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:
7.0ms
(+ (* 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)
10.0ms
(- (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

prune70.0ms

Filtered
35 candidates to 24 candidates (31.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New27835
Fresh000
Picked101
Done000
Total28836

Merged error: 42.3b

Counts
36 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) 1.0)
0.0b
(+ z (+ (* x y) 1.0))
10.6b
(- (fma x y z) (+ z (+ (* x y) 1.0)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×*-un-lft-identity
7×sum-log
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt diff-log add-cbrt-cube
2×+-commutative flip3-+ flip-+ distribute-lft-out distribute-lft-out--
1×sub-neg associate-+r+ flip3-- flip-- associate--r+ difference-of-squares
Counts
3 → 43
Calls
3 calls:
4.0ms
(+ (* x y) 1.0)
5.0ms
(+ z (+ (* x y) 1.0))
8.0ms
(- (fma x y z) (+ z (+ (* x y) 1.0)))

series19.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ (* x y) 1.0)
6.0ms
(+ z (+ (* x y) 1.0))
9.0ms
(- (fma x y z) (+ z (+ (* x y) 1.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0217291
1696280
22809279
35001279

prune97.0ms

Filtered
52 candidates to 34 candidates (34.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New49352
Fresh167
Picked101
Done000
Total51960

Merged error: 26.5b

Counts
60 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
1.4b
(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
1.9b
(- (fma x y z) z)
10.3b
(- (- (fma x y z) z) (+ (* x y) 1.0))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
22×add-sqr-sqrt
18×cbrt-prod add-log-exp
16×distribute-lft-out--
12×cube-div unpow-prod-down cube-prod frac-sub
10×add-cube-cbrt flip3-- flip--
7×diff-log
6×cbrt-div flip3-+ flip-+ difference-of-squares
5×pow1 add-exp-log add-cbrt-cube
3×sub-neg pow-unpow
2×cube-mult unpow3 associate--l+ sum-log sqr-pow
1×associate--l- pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube associate--r+ rem-cube-cbrt
Counts
4 → 108
Calls
4 calls:
10.0ms
(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
12.0ms
(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
3.0ms
(- (fma x y z) z)
9.0ms
(- (- (fma x y z) z) (+ (* x y) 1.0))

series76.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
9.0ms
(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
5.0ms
(- (fma x y z) z)
9.0ms
(- (- (fma x y z) z) (+ (* x y) 1.0))

simplify79.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
05851293
127031238
250021229

prune171.0ms

Filtered
120 candidates to 68 candidates (43.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1155120
Fresh448
Picked101
Done000
Total1209129

Merged error: 14.3b

Counts
129 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
1.4b
(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
1.9b
(- (fma x y z) z)
9.4b
(- (- (fma x y z) z) (* x y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
16×cbrt-prod
11×add-log-exp
10×add-cube-cbrt unpow-prod-down cube-prod
5×pow1 add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
4×cube-div flip3-- diff-log flip--
3×sub-neg pow-unpow
2×cube-mult cbrt-div unpow3 associate--l+ sqr-pow
1×associate--l- pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 86
Calls
4 calls:
9.0ms
(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
9.0ms
(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
3.0ms
(- (fma x y z) z)
6.0ms
(- (- (fma x y z) z) (* x y))

series72.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
9.0ms
(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
7.0ms
(- (fma x y z) z)
8.0ms
(- (- (fma x y z) z) (* x y))

simplify54.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0430820
11762777
25001771

prune99.0ms

Filtered
98 candidates to 54 candidates (44.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New96298
Fresh808
Picked101
Done000
Total1052107

Merged error: 8.5b

Counts
107 → 2

regimes121.0ms

Accuracy

0% (0.0b remaining)

Error of 8.1b against oracle of 8.1b and baseline of 8.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample1.3s

Algorithm
intervals
Results
458.0ms2681×body1280valid
215.0ms1567×body640valid
120.0ms587×body2560valid
78.0ms2086×body80valid
76.0ms743×body320valid
24.0ms336×body160valid

Profiling

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