Details

Time bar (total: 3.1s)

sample38.0ms

Algorithm
intervals
Results
11.0ms79×body1280valid
6.0ms54×body640valid
3.0ms18×body2560valid
2.0ms68×body80valid
2.0ms25×body320valid
1.0ms12×body160valid

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 44.3b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) z)
11.1b
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite14.0ms

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 → 29
Calls
2 calls:
7.0ms
(+ (* x y) z)
7.0ms
(- (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)))

simplify59.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0178220
1602204
22697203
35001203

prune54.0ms

Filtered
35 candidates to 24 candidates (31.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New30535
Fresh000
Picked011
Done000
Total30636

Merged error: 43.8b

Counts
36 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

9.4b
(cbrt (+ (* x y) z))
9.4b
(cbrt (+ (* x y) z))
9.4b
(cbrt (+ (* x y) z))
30.9b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-log-exp
7×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log add-cbrt-cube
3×flip3-+ pow1/3 flip-+
2×diff-log
1×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))
5.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series99.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (+ (* x y) z))
31.0ms
(cbrt (+ (* x y) z))
30.0ms
(cbrt (+ (* x y) z))
9.0ms
(- (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 (48.0ms)

IterNodesCost
0245719
1642627
21964598
35001556

prune161.0ms

Filtered
67 candidates to 56 candidates (16.4%)
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New531467
Fresh044
Picked011
Done011
Total532073

Merged error: 43.6b

Counts
73 → 20

localize17.0ms

Local error

Found 4 expressions with local error:

9.4b
(cbrt (+ (* x y) z))
9.4b
(cbrt (+ (* x y) z))
9.4b
(cbrt (+ (* x y) z))
31.2b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-log-exp
7×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log add-cbrt-cube
3×flip3-+ pow1/3 flip-+
2×diff-log
1×sub-neg flip3-- sum-log flip-- associate--r+ distribute-lft-out-- difference-of-squares
Counts
4 → 55
Calls
4 calls:
4.0ms
(cbrt (+ (* x y) z))
4.0ms
(cbrt (+ (* x y) z))
4.0ms
(cbrt (+ (* x y) z))
5.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

series100.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (+ (* x y) z))
29.0ms
(cbrt (+ (* x y) z))
29.0ms
(cbrt (+ (* x y) z))
12.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

simplify71.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
0253949
1693879
22307867
35001858

prune179.0ms

Filtered
67 candidates to 55 candidates (17.9%)
Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New59867
Fresh41317
Picked101
Done022
Total642387

Merged error: 43.6b

Counts
87 → 23

localize20.0ms

Local error

Found 4 expressions with local error:

9.4b
(cbrt (+ (* x y) z))
9.4b
(cbrt (+ (* x y) z))
20.3b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (/ (cbrt (- (* (* x y) (* x y)) (* z z))) (cbrt (- (* x y) z))))))
28.7b
(cbrt (- (* (* x y) (* x y)) (* z z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
9×add-sqr-sqrt *-un-lft-identity add-log-exp
7×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
2×flip3-- flip3-+ diff-log flip-- flip-+ difference-of-squares
1×sub-neg sum-log associate--r+ distribute-lft-out--
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt (+ (* x y) z))
3.0ms
(cbrt (+ (* x y) z))
4.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (/ (cbrt (- (* (* x y) (* x y)) (* z z))) (cbrt (- (* x y) z))))))
6.0ms
(cbrt (- (* (* x y) (* x y)) (* z z)))

series141.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt (+ (* x y) z))
29.0ms
(cbrt (+ (* x y) z))
52.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (/ (cbrt (- (* (* x y) (* x y)) (* z z))) (cbrt (- (* x y) z))))))
29.0ms
(cbrt (- (* (* x y) (* x y)) (* z z)))

simplify124.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (115.0ms)

IterNodesCost
0412974
11208904
24743883
35001874

prune100.0ms

Filtered
68 candidates to 58 candidates (14.7%)
Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New571168
Fresh71320
Picked101
Done022
Total652691

Merged error: 43.5b

Counts
91 → 26

regimes619.0ms

Accuracy

0% (0.8b remaining)

Error of 44.4b against oracle of 43.7b and baseline of 44.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1125

end0.0ms

sample1.1s

Algorithm
intervals
Results
385.0ms2558×body1280valid
191.0ms1611×body640valid
107.0ms584×body2560valid
81.0ms2188×body80valid
64.0ms705×body320valid
26.0ms354×body160valid

Profiling

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