Details

Time bar (total: 4.0s)

sample34.0ms

Algorithm
intervals
Results
10.0ms80×body1280valid
6.0ms18×body2560valid
5.0ms52×body640valid
2.0ms26×body320valid
2.0ms68×body80valid
1.0ms12×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

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) z)
11.3b
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite28.0ms

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)
24.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series62.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ (* x y) z)
37.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0178220
1602204
22697203
35001203

prune87.0ms

Filtered
35 candidates to 24 candidates (68.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 44.1b

localize15.0ms

Local error

Found 4 expressions with local error:

7.9b
(cbrt (+ (* x y) z))
7.9b
(cbrt (+ (* x y) z))
7.9b
(cbrt (+ (* x y) z))
32.6b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite15.0ms

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:
3.0ms
(cbrt (+ (* x y) z))
3.0ms
(cbrt (+ (* x y) z))
3.0ms
(cbrt (+ (* x y) z))
6.0ms
(- (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:
109.0ms
(cbrt (+ (* x y) z))
105.0ms
(cbrt (+ (* x y) z))
104.0ms
(cbrt (+ (* x y) z))
38.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0238686
1653594
22161559
35002523

prune280.0ms

Filtered
67 candidates to 59 candidates (88.1%)
Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 44.0b

localize21.0ms

Local error

Found 4 expressions with local error:

7.9b
(cbrt (+ (* x y) z))
7.9b
(cbrt (+ (* x y) z))
7.9b
(cbrt (+ (* x y) z))
36.4b
(- (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)))))))

rewrite15.0ms

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:
3.0ms
(cbrt (+ (* x y) z))
3.0ms
(cbrt (+ (* x y) z))
3.0ms
(cbrt (+ (* x y) z))
6.0ms
(- (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)))))))

series358.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(cbrt (+ (* x y) z))
109.0ms
(cbrt (+ (* x y) z))
104.0ms
(cbrt (+ (* x y) z))
38.0ms
(- (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)))))))

simplify70.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
0246939
1707817
22552734
35003646

prune339.0ms

Filtered
67 candidates to 59 candidates (88.1%)
Pruning

23 alts after pruning (20 fresh and 3 done)

Merged error: 44.0b

localize26.0ms

Local error

Found 4 expressions with local error:

7.9b
(cbrt (+ (* x y) z))
7.9b
(cbrt (+ (* x y) z))
7.9b
(cbrt (+ (* x y) z))
36.4b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))) (cbrt (cbrt (+ (* x y) z)))))))

rewrite15.0ms

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:
3.0ms
(cbrt (+ (* x y) z))
3.0ms
(cbrt (+ (* x y) z))
3.0ms
(cbrt (+ (* x y) z))
6.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))) (cbrt (cbrt (+ (* x y) z)))))))

series365.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(cbrt (+ (* x y) z))
106.0ms
(cbrt (+ (* x y) z))
107.0ms
(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 (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))) (cbrt (cbrt (+ (* x y) z)))))))

simplify72.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
02521192
17161098
22642987
35001767

prune311.0ms

Filtered
67 candidates to 59 candidates (88.1%)
Pruning

26 alts after pruning (22 fresh and 4 done)

Merged error: 44.0b

regimes470.0ms

Accuracy

0% (0.7b remaining)

Error of 45.0b against oracle of 44.3b and baseline of 45.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample891.0ms

Algorithm
intervals
Results
329.0ms2583×body1280valid
166.0ms1603×body640valid
90.0ms607×body2560valid
59.0ms727×body320valid
58.0ms2117×body80valid
19.0ms363×body160valid