Details

Time bar (total: 8.4s)

sample34.0ms

Algorithm
intervals
Results
9.0ms73×body1280valid
5.0ms49×body640valid
4.0ms24×body2560valid
2.0ms72×body80valid
2.0ms25×body320valid
1.0ms13×body160valid

simplify560.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11812
24312
38712
418112
529712
638912
745912
852112
done52112

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.7b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) z)
9.6b
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite58.0ms

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)
49.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series64.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ (* x y) z)
42.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify1.0s

Counts
35 → 35
Iterations

Useful iterations: 3 (371.0ms)

IterNodesCost
065500
1176483
2564449
32547447
done5000447

prune77.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 43.0b

localize13.0ms

Local error

Found 4 expressions with local error:

7.4b
(cbrt (+ (* x y) z))
7.4b
(cbrt (+ (* x y) z))
7.4b
(cbrt (+ (* x y) z))
29.6b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite32.0ms

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:
5.0ms
(cbrt (+ (* x y) z))
5.0ms
(cbrt (+ (* x y) z))
5.0ms
(cbrt (+ (* x y) z))
15.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series372.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(cbrt (+ (* x y) z))
113.0ms
(cbrt (+ (* x y) z))
109.0ms
(cbrt (+ (* x y) z))
39.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify800.0ms

Counts
67 → 67
Iterations

Useful iterations: done (798.0ms)

IterNodesCost
0951308
12401261
2621916
31739835
done5000823

prune246.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 42.9b

localize19.0ms

Local error

Found 4 expressions with local error:

7.4b
(cbrt (+ (* x y) z))
7.4b
(cbrt (+ (* x y) z))
7.4b
(cbrt (+ (* x y) z))
30.2b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))) (cbrt (+ (* x y) z)))))

rewrite34.0ms

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:
5.0ms
(cbrt (+ (* x y) z))
5.0ms
(cbrt (+ (* x y) z))
8.0ms
(cbrt (+ (* x y) z))
14.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))) (cbrt (+ (* x y) z)))))

series370.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(cbrt (+ (* x y) z))
110.0ms
(cbrt (+ (* x y) z))
109.0ms
(cbrt (+ (* x y) z))
40.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))) (cbrt (+ (* x y) z)))))

simplify1.2s

Counts
67 → 67
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0981692
12481629
26431504
320031486
done50001474

prune323.0ms

Pruning

22 alts after pruning (20 fresh and 2 done)

Merged error: 42.8b

localize26.0ms

Local error

Found 4 expressions with local error:

7.4b
(cbrt (+ (* x y) z))
7.4b
(cbrt (+ (* x y) z))
7.4b
(cbrt (+ (* x y) z))
34.5b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

rewrite32.0ms

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:
5.0ms
(cbrt (+ (* x y) z))
5.0ms
(cbrt (+ (* x y) z))
5.0ms
(cbrt (+ (* x y) z))
14.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

series371.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(cbrt (+ (* x y) z))
109.0ms
(cbrt (+ (* x y) z))
108.0ms
(cbrt (+ (* x y) z))
44.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

simplify1.2s

Counts
67 → 67
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0992100
12542020
27011567
323261486
done50011363

prune295.0ms

Pruning

23 alts after pruning (20 fresh and 3 done)

Merged error: 42.8b

regimes407.0ms

Accuracy

0% (0.7b remaining)

Error of 44.7b against oracle of 44.0b and baseline of 44.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11212
done1212

end0.0ms

sample979.0ms

Algorithm
intervals
Results
338.0ms2613×body1280valid
157.0ms1515×body640valid
95.0ms613×body2560valid
65.0ms2170×body80valid
56.0ms735×body320valid
21.0ms354×body160valid