Details

Time bar (total: 2.4s)

analyze375.0ms

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
15.0ms100×body1280valid
6.0ms47×body640valid
4.0ms20×body2560valid
2.0ms61×body80valid
2.0ms18×body320valid
1.0ms10×body160valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
052212
152212

prune8.0ms

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: 46.4b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

8.6b
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
6×*-un-lft-identity
3×add-sqr-sqrt diff-log sum-log
2×distribute-lft-out--
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- add-cbrt-cube flip-- distribute-lft-out associate--r+ difference-of-squares
Counts
1 → 17
Calls
1 calls:
11.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify23.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
05081330

prune29.0ms

Filtered
14 candidates to 20 candidates (-42.9%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New19120
Fresh000
Picked101
Done000
Total20121

Merged error: 46.4b

Counts
21 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

8.6b
(- (- (fma x y z) 1.0) (+ (* x y) z))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
6×*-un-lft-identity diff-log
4×frac-sub
3×add-sqr-sqrt flip3-- flip-- distribute-lft-out--
2×sub-neg flip3-+ sum-log flip-+
1×pow1 add-exp-log associate--l- add-cube-cbrt associate--l+ add-cbrt-cube associate--r+ difference-of-squares
Counts
1 → 24
Calls
1 calls:
12.0ms
(- (- (fma x y z) 1.0) (+ (* x y) z))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(- (- (fma x y z) 1.0) (+ (* x y) z))

simplify31.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
04929599
14929599

prune52.0ms

Filtered
19 candidates to 27 candidates (-42.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New23427
Fresh000
Picked011
Done000
Total23528

Merged error: 46.1b

Counts
28 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.7b
(- (- (fma x y z) (+ 1.0 (* x y))) z)
8.6b
(- (fma x y z) (+ 1.0 (* x y)))

rewrite14.0ms

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)))

simplify39.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05240589

prune85.0ms

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

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New33639
Fresh033
Picked011
Done011
Total331144

Merged error: 45.9b

Counts
44 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

8.6b
(- (fma x y z) (+ 1.0 (* x y)))
8.6b
(- (fma x y z) (+ 1.0 (* x y)))
8.6b
(- (fma x y z) (+ 1.0 (* x y)))
16.7b
(- (* (* (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)

rewrite38.0ms

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:
5.0ms
(- (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)))
22.0ms
(- (* (* (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)

series31.0ms

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)

simplify45.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04973976
14973976

prune106.0ms

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

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New64468
Fresh178
Picked011
Done022
Total651479

Merged error: 45.9b

Counts
79 → 14

regimes300.0ms

Accuracy

0% (0.5b remaining)

Error of 44.9b against oracle of 44.4b and baseline of 44.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010212
110212

end0.0ms

sample1.0s

Algorithm
intervals
Results
395.0ms2651×body1280valid
191.0ms1566×body640valid
105.0ms590×body2560valid
74.0ms2120×body80valid
68.0ms736×body320valid
27.0ms337×body160valid

Profiling

Loading profile data...