Details

Time bar (total: 6.7s)

sample32.0ms

Algorithm
intervals
Results
11.0ms91×body1280valid
5.0ms50×body640valid
3.0ms20×body2560valid
2.0ms66×body80valid
2.0ms22×body320valid
0.0ms7×body160valid

simplify528.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0912
11812
24212
38212
416012
528112
650912
764012
865412
done65412

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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:
3.0ms
(+ (* x y) z)
22.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series61.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ (* x y) z)
41.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify632.0ms

Counts
35 → 35
Iterations

Useful iterations: 3 (164.0ms)

IterNodesCost
065500
1177483
2517449
31961447
done5001447

prune87.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 45.4b

localize12.0ms

Local error

Found 4 expressions with local error:

8.6b
(cbrt (+ (* x y) z))
8.6b
(cbrt (+ (* x y) z))
8.6b
(cbrt (+ (* x y) z))
34.6b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite14.0ms

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:
2.0ms
(cbrt (+ (* x y) z))
2.0ms
(cbrt (+ (* x y) z))
2.0ms
(cbrt (+ (* x y) z))
6.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series355.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(cbrt (+ (* x y) z))
104.0ms
(cbrt (+ (* x y) z))
106.0ms
(cbrt (+ (* x y) z))
40.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify599.0ms

Counts
67 → 67
Iterations

Useful iterations: 3 (195.0ms)

IterNodesCost
0951308
12401261
2605916
31713835
done5000835

prune258.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 45.3b

localize17.0ms

Local error

Found 4 expressions with local error:

8.6b
(cbrt (+ (* x y) z))
8.6b
(cbrt (+ (* x y) z))
8.6b
(cbrt (+ (* x y) z))
37.8b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

rewrite14.0ms

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:
2.0ms
(cbrt (+ (* x y) z))
2.0ms
(cbrt (+ (* x y) z))
2.0ms
(cbrt (+ (* x y) z))
6.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

series354.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(cbrt (+ (* x y) z))
104.0ms
(cbrt (+ (* x y) z))
108.0ms
(cbrt (+ (* x y) z))
38.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

simplify768.0ms

Counts
67 → 67
Iterations

Useful iterations: 3 (227.0ms)

IterNodesCost
0971716
12481652
26571231
32065835
done5000835

prune305.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 45.3b

localize17.0ms

Local error

Found 4 expressions with local error:

8.6b
(cbrt (+ (* x y) z))
8.6b
(cbrt (+ (* x y) z))
8.6b
(cbrt (+ (* x y) z))
36.4b
(- (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)))))))

rewrite14.0ms

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:
2.0ms
(cbrt (+ (* x y) z))
2.0ms
(cbrt (+ (* x y) z))
2.0ms
(cbrt (+ (* x y) z))
6.0ms
(- (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)))))))

series353.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(cbrt (+ (* x y) z))
104.0ms
(cbrt (+ (* x y) z))
103.0ms
(cbrt (+ (* x y) z))
41.0ms
(- (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)))))))

simplify729.0ms

Counts
67 → 67
Iterations

Useful iterations: 3 (211.0ms)

IterNodesCost
0971692
12481629
26541504
320361486
done50011486

prune259.0ms

Pruning

24 alts after pruning (22 fresh and 2 done)

Merged error: 45.3b

regimes409.0ms

Accuracy

0% (0.7b remaining)

Error of 45.4b against oracle of 44.7b and baseline of 45.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11212
done1212

end0.0ms

sample893.0ms

Algorithm
intervals
Results
341.0ms2671×body1280valid
165.0ms1637×body640valid
89.0ms584×body2560valid
55.0ms2062×body80valid
53.0ms703×body320valid
17.0ms343×body160valid