Details

Time bar (total: 15.0s)

sample81.0ms

Algorithm
intervals
Results
30.0ms94×body1280valid
13.0ms50×body640valid
7.0ms18×body2560valid
4.0ms66×body80valid
4.0ms22×body320valid
1.0ms6×body160valid

simplify921.0ms

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: 45.5b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite106.0ms

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:
17.0ms
(+ (* x y) z)
86.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series121.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ (* x y) z)
74.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify1.6s

Counts
35 → 35
Iterations

Useful iterations: 3 (590.0ms)

IterNodesCost
065500
1176483
2564449
32547447
done5000447

prune91.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 45.0b

localize32.0ms

Local error

Found 4 expressions with local error:

9.6b
(cbrt (+ (* x y) z))
9.6b
(cbrt (+ (* x y) z))
9.6b
(cbrt (+ (* x y) z))
35.8b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite70.0ms

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:
11.0ms
(cbrt (+ (* x y) z))
11.0ms
(cbrt (+ (* x y) z))
11.0ms
(cbrt (+ (* x y) z))
33.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series614.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(cbrt (+ (* x y) z))
188.0ms
(cbrt (+ (* x y) z))
205.0ms
(cbrt (+ (* x y) z))
58.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify1.3s

Counts
67 → 67
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0951308
12401261
2621916
31739835
done5000823

prune406.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 44.9b

localize47.0ms

Local error

Found 4 expressions with local error:

9.6b
(cbrt (+ (* x y) z))
9.6b
(cbrt (+ (* x y) z))
9.6b
(cbrt (+ (* x y) z))
36.5b
(- (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)))))))

rewrite67.0ms

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:
12.0ms
(cbrt (+ (* x y) z))
12.0ms
(cbrt (+ (* x y) z))
11.0ms
(cbrt (+ (* x y) z))
28.0ms
(- (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)))))))

series590.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt (+ (* x y) z))
161.0ms
(cbrt (+ (* x y) z))
169.0ms
(cbrt (+ (* x y) z))
78.0ms
(- (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)))))))

simplify2.1s

Counts
67 → 67
Iterations

Useful iterations: done (2.1s)

IterNodesCost
0971692
12481629
26701504
320671486
done50011474

prune513.0ms

Pruning

24 alts after pruning (22 fresh and 2 done)

Merged error: 44.9b

localize53.0ms

Local error

Found 4 expressions with local error:

9.6b
(cbrt (+ (* x y) z))
9.6b
(cbrt (+ (* x y) z))
9.6b
(cbrt (+ (* x y) z))
36.5b
(- (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 (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))))

rewrite68.0ms

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:
7.0ms
(cbrt (+ (* x y) z))
11.0ms
(cbrt (+ (* x y) z))
11.0ms
(cbrt (+ (* x y) z))
37.0ms
(- (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 (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))))

series534.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(cbrt (+ (* x y) z))
163.0ms
(cbrt (+ (* x y) z))
166.0ms
(cbrt (+ (* x y) z))
48.0ms
(- (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 (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))))

simplify1.7s

Counts
67 → 67
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0992100
12512020
26731567
320871486
done50001363

prune592.0ms

Pruning

24 alts after pruning (21 fresh and 3 done)

Merged error: 44.9b

regimes662.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11212
done1212

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.3s2635×body1280valid
500.0ms1583×body640valid
173.0ms588×body2560valid
164.0ms2112×body80valid
155.0ms766×body320valid
32.0ms316×body160valid