Details

Time bar (total: 2.0s)

sample43.0ms

Algorithm
intervals
Results
13.0ms86×body1280valid
7.0ms55×body640valid
5.0ms25×body2560valid
2.0ms23×body320valid
2.0ms58×body80valid
1.0ms9×body160valid

simplify30.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0185
1435
2915
31945
43215
55795
610885
713055
813055

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 47.7b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

12.3b
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite8.0ms

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 → 18
Calls
1 calls:
7.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0115163
1404152
22160152
35001152

prune29.0ms

Filtered
21 candidates to 14 candidates (33.3%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New20121
Fresh000
Picked101
Done000
Total21122

Merged error: 47.7b

Counts
22 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

12.3b
(- (fma x y z) (+ z (+ (* x y) 1.0)))

rewrite8.0ms

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 → 18
Calls
1 calls:
8.0ms
(- (fma x y z) (+ z (+ (* x y) 1.0)))

series9.0ms

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

simplify41.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0106163
1340152
21784152
35001152

prune30.0ms

Filtered
21 candidates to 12 candidates (42.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New20121
Fresh000
Picked011
Done000
Total20222

Merged error: 31.9b

Counts
22 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
1.8b
(- (fma x y z) z)
2.7b
(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
11.1b
(- (- (fma x y z) z) (+ (* x y) 1.0))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
22×add-sqr-sqrt
18×cbrt-prod add-log-exp
16×distribute-lft-out--
12×cube-div unpow-prod-down cube-prod frac-sub
10×add-cube-cbrt flip3-- flip--
7×diff-log
6×cbrt-div flip3-+ flip-+ difference-of-squares
5×pow1 add-exp-log add-cbrt-cube
3×sub-neg pow-unpow
2×cube-mult unpow3 associate--l+ sum-log sqr-pow
1×associate--l- pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube associate--r+ rem-cube-cbrt
Counts
4 → 108
Calls
4 calls:
10.0ms
(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
3.0ms
(- (fma x y z) z)
10.0ms
(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
9.0ms
(- (- (fma x y z) z) (+ (* x y) 1.0))

series72.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
5.0ms
(- (fma x y z) z)
9.0ms
(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
11.0ms
(- (- (fma x y z) z) (+ (* x y) 1.0))

simplify80.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05851293
127031238
250021229

prune165.0ms

Filtered
120 candidates to 67 candidates (44.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1146120
Fresh000
Picked101
Done011
Total1157122

Merged error: 17.6b

Counts
122 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
1.8b
(- (fma x y z) z)
2.7b
(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
10.9b
(- (- (fma x y z) z) (* x y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
16×cbrt-prod
11×add-log-exp
10×add-cube-cbrt unpow-prod-down cube-prod
5×pow1 add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
4×cube-div flip3-- diff-log flip--
3×sub-neg pow-unpow
2×cube-mult cbrt-div unpow3 associate--l+ sqr-pow
1×associate--l- pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 86
Calls
4 calls:
9.0ms
(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
3.0ms
(- (fma x y z) z)
9.0ms
(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
6.0ms
(- (- (fma x y z) z) (* x y))

series71.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
5.0ms
(- (fma x y z) z)
9.0ms
(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
7.0ms
(- (- (fma x y z) z) (* x y))

simplify55.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0430824
11762779
25001771

prune105.0ms

Filtered
98 candidates to 54 candidates (44.9%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New97198
Fresh505
Picked101
Done101
Total1041105

Merged error: 9.8b

Counts
105 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample1.1s

Algorithm
intervals
Results
406.0ms2609×body1280valid
199.0ms1574×body640valid
115.0ms587×body2560valid
75.0ms738×body320valid
73.0ms2099×body80valid
25.0ms393×body160valid

Profiling

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