Details

Time bar (total: 2.5s)

analyze382.0ms

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

sample37.0ms

Algorithm
intervals
Results
13.0ms87×body1280valid
6.0ms50×body640valid
3.0ms20×body2560valid
2.0ms68×body80valid
2.0ms18×body320valid
1.0ms13×body160valid

simplify18.0ms

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: 44.5b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) z)
10.1b
(- (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 → 28
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)))

simplify32.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (28.0ms)

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: 43.9b

Counts
35 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) z)
10.1b
(- (- (fma x y z) 1.0) (+ (* x y) z))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×add-log-exp
7×*-un-lft-identity
6×diff-log
4×add-sqr-sqrt frac-sub
3×flip3-- flip3-+ sum-log flip-- flip-+ distribute-lft-out--
2×pow1 add-exp-log add-cube-cbrt sub-neg add-cbrt-cube
1×+-commutative associate--l- associate--l+ associate--r+ difference-of-squares
Counts
2 → 35
Calls
2 calls:
4.0ms
(+ (* x y) z)
9.0ms
(- (- (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))

simplify32.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05015708

prune80.0ms

Filtered
29 candidates to 41 candidates (-41.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New37441
Fresh066
Picked011
Done000
Total371148

Merged error: 43.8b

Counts
48 → 11

localize8.0ms

Local error

Found 2 expressions with local error:

1.0b
(- (- (fma x y z) (+ 1.0 (* x y))) z)
9.8b
(- (fma x y z) (+ 1.0 (* x y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×add-log-exp
9×*-un-lft-identity
7×diff-log
6×add-sqr-sqrt
4×distribute-lft-out--
3×sub-neg
2×pow1 add-exp-log add-cube-cbrt flip3-- sum-log add-cbrt-cube flip-- difference-of-squares
1×associate--l- associate--l+ associate--r+
Counts
2 → 33
Calls
2 calls:
8.0ms
(- (- (fma x y z) (+ 1.0 (* x y))) z)
5.0ms
(- (fma x y z) (+ 1.0 (* x y)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(- (- (fma x y z) (+ 1.0 (* x y))) z)
7.0ms
(- (fma x y z) (+ 1.0 (* x y)))

simplify33.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
04876589
14876589

prune102.0ms

Filtered
26 candidates to 39 candidates (-50.0%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New32739
Fresh099
Picked101
Done011
Total331750

Merged error: 43.7b

Counts
50 → 17

localize12.0ms

Local error

Found 4 expressions with local error:

9.8b
(- (fma x y z) (+ 1.0 (* x y)))
9.8b
(- (fma x y z) (+ 1.0 (* x y)))
9.8b
(- (fma x y z) (+ 1.0 (* x y)))
18.1b
(- (* (* (cbrt (- (fma x y z) (+ 1.0 (* x y)))) (cbrt (- (fma x y z) (+ 1.0 (* x y))))) (cbrt (- (fma x y z) (+ 1.0 (* x y))))) z)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
21×add-log-exp
10×add-sqr-sqrt *-un-lft-identity
7×diff-log
4×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- add-cbrt-cube flip--
3×sum-log associate--r+ distribute-lft-out-- difference-of-squares
Counts
4 → 56
Calls
4 calls:
7.0ms
(- (fma x y z) (+ 1.0 (* x y)))
5.0ms
(- (fma x y z) (+ 1.0 (* x y)))
5.0ms
(- (fma x y z) (+ 1.0 (* x y)))
21.0ms
(- (* (* (cbrt (- (fma x y z) (+ 1.0 (* x y)))) (cbrt (- (fma x y z) (+ 1.0 (* x y))))) (cbrt (- (fma x y z) (+ 1.0 (* x y))))) z)

series32.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- (fma x y z) (+ 1.0 (* x y)))
7.0ms
(- (fma x y z) (+ 1.0 (* x y)))
7.0ms
(- (fma x y z) (+ 1.0 (* x y)))
10.0ms
(- (* (* (cbrt (- (fma x y z) (+ 1.0 (* x y)))) (cbrt (- (fma x y z) (+ 1.0 (* x y))))) (cbrt (- (fma x y z) (+ 1.0 (* x y))))) z)

simplify59.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04890976
14890976

prune101.0ms

Filtered
46 candidates to 68 candidates (-47.8%)
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New65368
Fresh11415
Picked011
Done011
Total661985

Merged error: 43.7b

Counts
85 → 19

regimes346.0ms

Accuracy

0% (0.9b remaining)

Error of 44.7b against oracle of 43.9b and baseline of 44.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06112
16112

end0.0ms

sample1.0s

Algorithm
intervals
Results
394.0ms2620×body1280valid
197.0ms1629×body640valid
105.0ms583×body2560valid
74.0ms2164×body80valid
63.0ms685×body320valid
21.0ms319×body160valid

Profiling

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