Details

Time bar (total: 3.0s)

sample41.0ms

Algorithm
intervals
Results
11.0ms71×body1280valid
7.0ms53×body640valid
4.0ms20×body2560valid
3.0ms33×body320valid
2.0ms67×body80valid
1.0ms12×body160valid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0185
1435
2915
31945
43215
55795
610885
713055
813055

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 45.7b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) z)
9.6b
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
*-un-lft-identity
add-sqr-sqrt sum-log
diff-log
pow1 add-exp-log add-cube-cbrt add-cbrt-cube distribute-lft-out--
+-commutative sub-neg flip3-- flip3-+ flip-- flip-+ distribute-lft-out associate--r+ difference-of-squares
Counts
2 → 29
Calls
2 calls:
3.0ms
(+ (* x y) z)
7.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ (* x y) z)
9.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify58.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0178220
1602204
22697203
35001203

prune52.0ms

Filtered
24 candidates to 35 candidates (-45.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New30535
Fresh000
Picked011
Done000
Total30636

Merged error: 45.1b

Counts
36 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

6.8b
(cbrt (+ (* x y) z))
6.8b
(cbrt (+ (* x y) z))
6.8b
(cbrt (+ (* x y) z))
32.8b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod add-sqr-sqrt *-un-lft-identity add-log-exp
add-cube-cbrt
cbrt-div
pow1 add-exp-log add-cbrt-cube
flip3-+ pow1/3 flip-+
diff-log
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)))))

series104.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt (+ (* x y) z))
33.0ms
(cbrt (+ (* x y) z))
31.0ms
(cbrt (+ (* x y) z))
10.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify51.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0245719
1642627
21964598
35001556

prune155.0ms

Filtered
56 candidates to 67 candidates (-19.6%)
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New551267
Fresh044
Picked011
Done011
Total551873

Merged error: 44.9b

Counts
73 → 18

localize17.0ms

Local error

Found 4 expressions with local error:

6.8b
(cbrt (+ (* x y) z))
6.8b
(cbrt (+ (* x y) z))
6.8b
(cbrt (+ (* x y) z))
36.9b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod add-sqr-sqrt *-un-lft-identity add-log-exp
add-cube-cbrt
cbrt-div
pow1 add-exp-log add-cbrt-cube
flip3-+ pow1/3 flip-+
diff-log
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 (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

series105.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt (+ (* x y) z))
32.0ms
(cbrt (+ (* x y) z))
32.0ms
(cbrt (+ (* x y) z))
10.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

simplify66.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
0253972
1696850
22351773
35002679

prune172.0ms

Filtered
56 candidates to 67 candidates (-19.6%)
Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New61667
Fresh21315
Picked011
Done022
Total632285

Merged error: 44.8b

Counts
85 → 22

localize32.0ms

Local error

Found 4 expressions with local error:

6.8b
(cbrt (+ (* x y) z))
36.9b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))
36.9b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))
36.9b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
11×add-sqr-sqrt *-un-lft-identity
diff-log
add-cube-cbrt
pow1 add-exp-log add-cbrt-cube
cbrt-prod sub-neg flip3-- sum-log flip-- associate--r+ distribute-lft-out-- difference-of-squares
cbrt-div
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 (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (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 (cbrt (+ (* x y) z)))) (cbrt (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 (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

series63.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (+ (* x y) z))
12.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))
10.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))
10.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

simplify71.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
02531956
16961646
223511447
350021189

prune141.0ms

Filtered
56 candidates to 73 candidates (-30.4%)
Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New70373
Fresh11718
Picked011
Done033
Total712495

Merged error: 44.8b

Counts
95 → 24

regimes602.0ms

Accuracy

0% (0.7b remaining)

Error of 44.9b against oracle of 44.3b and baseline of 44.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample1.1s

Algorithm
intervals
Results
398.0ms2643×body1280valid
183.0ms1558×body640valid
111.0ms619×body2560valid
74.0ms2103×body80valid
68.0ms716×body320valid
22.0ms361×body160valid

Profiling

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