Details

Time bar (total: 3.2s)

analyze418.0ms

Algorithm
search

sample42.0ms

Algorithm
intervals
Results
15.0ms89×body1280valid
7.0ms51×body640valid
3.0ms15×body2560valid
2.0ms64×body80valid
2.0ms22×body320valid
1.0ms15×body160valid

simplify32.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0185
1435
2915
31945
43215
55795
610885
713055
813055

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 45.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:
4.0ms
(+ (* x y) z)
8.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+ (* x y) z)
11.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify69.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0178220
1602204
22697203
35001203

prune73.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New28735
Fresh000
Picked101
Done000
Total29736

Merged error: 44.4b

Counts
36 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) z)
10.5b
(- (- (fma x y z) 1.0) (+ (* x y) z))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×add-log-exp
*-un-lft-identity
diff-log
add-sqr-sqrt frac-sub
flip3-- flip3-+ sum-log flip-- flip-+ distribute-lft-out--
pow1 add-exp-log add-cube-cbrt sub-neg associate--l+ add-cbrt-cube
+-commutative associate--l- associate--r+ difference-of-squares
Counts
2 → 37
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)
10.0ms
(- (- (fma x y z) 1.0) (+ (* x y) z))

simplify37.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0281361
11187349
25001338

prune85.0ms

Filtered
28 candidates to 43 candidates (-53.6%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New39443
Fresh066
Picked011
Done000
Total391150

Merged error: 44.3b

Counts
50 → 11

localize9.0ms

Local error

Found 2 expressions with local error:

1.6b
(- (- (- (fma x y z) 1.0) (* x y)) z)
9.7b
(- (- (fma x y z) 1.0) (* x y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×add-log-exp
diff-log
associate--l+
sub-neg
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log associate--l- add-cube-cbrt flip3-- add-cbrt-cube flip--
distribute-lft-out-- difference-of-squares
Counts
2 → 37
Calls
2 calls:
9.0ms
(- (- (- (fma x y z) 1.0) (* x y)) z)
9.0ms
(- (- (fma x y z) 1.0) (* x y))

series17.0ms

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

simplify56.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0162275
1515264
22224259
35001259

prune114.0ms

Filtered
26 candidates to 43 candidates (-65.4%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New34943
Fresh279
Picked101
Done011
Total371754

Merged error: 44.2b

Counts
54 → 17

localize13.0ms

Local error

Found 4 expressions with local error:

1.6b
(- (- (- (fma x y z) 1.0) (* x y)) z)
9.7b
(- (- (fma x y z) 1.0) (* x y))
9.7b
(- (- (fma x y z) 1.0) (* x y))
9.7b
(- (- (fma x y z) 1.0) (* x y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
28×add-log-exp
15×diff-log
12×associate--l+
sub-neg
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log associate--l- add-cube-cbrt flip3-- add-cbrt-cube flip--
distribute-lft-out-- difference-of-squares
Counts
4 → 69
Calls
4 calls:
9.0ms
(- (- (- (fma x y z) 1.0) (* x y)) z)
7.0ms
(- (- (fma x y z) 1.0) (* x y))
7.0ms
(- (- (fma x y z) 1.0) (* x y))
6.0ms
(- (- (fma x y z) 1.0) (* x y))

series31.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (- (- (fma x y z) 1.0) (* x y)) z)
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))

simplify58.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0162487
1515476
22224469
35001469

prune127.0ms

Filtered
53 candidates to 81 candidates (-52.8%)
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New81081
Fresh01515
Picked011
Done011
Total811798

Merged error: 44.2b

Counts
98 → 17

regimes347.0ms

Accuracy

0% (0.7b remaining)

Error of 45.1b against oracle of 44.4b and baseline of 45.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01420
11420

end0.0ms

analyze395.0ms

Algorithm
search

sample1.2s

Algorithm
intervals
Results
449.0ms2623×body1280valid
225.0ms1654×body640valid
121.0ms602×body2560valid
78.0ms2074×body80valid
74.0ms718×body320valid
23.0ms329×body160valid

Profiling

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