Details

Time bar (total: 8.0s)

sample36.0ms

Algorithm
intervals
Results
9.0ms76×body1280valid
6.0ms19×body2560valid
6.0ms57×body640valid
2.0ms29×body320valid
2.0ms65×body80valid
1.0ms10×body160valid

simplify555.0ms

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: 45.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) z)
10.1b
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite55.0ms

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)
47.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series67.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ (* x y) z)
40.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify989.0ms

Counts
35 → 35
Iterations

Useful iterations: 3 (366.0ms)

IterNodesCost
065500
1176483
2564449
32547447
done5000447

prune76.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 45.1b

localize12.0ms

Local error

Found 4 expressions with local error:

7.9b
(cbrt (+ (* x y) z))
7.9b
(cbrt (+ (* x y) z))
7.9b
(cbrt (+ (* x y) z))
31.9b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite31.0ms

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)))))

series374.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(cbrt (+ (* x y) z))
110.0ms
(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)))))

simplify783.0ms

Counts
67 → 67
Iterations

Useful iterations: done (781.0ms)

IterNodesCost
0951308
12401261
2621916
31739835
done5000823

prune244.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 44.9b

localize17.0ms

Local error

Found 4 expressions with local error:

7.9b
(cbrt (+ (* x y) z))
7.9b
(cbrt (+ (* x y) z))
7.9b
(cbrt (+ (* x y) z))
34.4b
(- (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)))))))

rewrite33.0ms

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))
8.0ms
(cbrt (+ (* x y) z))
5.0ms
(cbrt (+ (* x y) z))
13.0ms
(- (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)))))))

series388.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(cbrt (+ (* x y) z))
115.0ms
(cbrt (+ (* x y) z))
116.0ms
(cbrt (+ (* x y) z))
42.0ms
(- (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)))))))

simplify965.0ms

Counts
67 → 67
Iterations

Useful iterations: done (962.0ms)

IterNodesCost
0971692
12481629
26701504
320671486
done50011474

prune323.0ms

Pruning

22 alts after pruning (20 fresh and 2 done)

Merged error: 44.9b

localize22.0ms

Local error

Found 4 expressions with local error:

7.9b
(cbrt (+ (* x y) z))
7.9b
(cbrt (+ (* x y) z))
7.9b
(cbrt (+ (* x y) z))
34.4b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (* (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

rewrite33.0ms

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))
16.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (* (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

series392.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(cbrt (+ (* x y) z))
115.0ms
(cbrt (+ (* x y) z))
114.0ms
(cbrt (+ (* x y) z))
43.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (* (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

simplify957.0ms

Counts
67 → 67
Iterations

Useful iterations: done (955.0ms)

IterNodesCost
01002076
12551997
26811840
320961822
done50011810

prune303.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 44.9b

regimes376.0ms

Accuracy

0% (0.7b remaining)

Error of 44.9b against oracle of 44.2b and baseline of 44.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11212
done1212

end0.0ms

sample912.0ms

Algorithm
intervals
Results
314.0ms2619×body1280valid
150.0ms1584×body640valid
81.0ms559×body2560valid
62.0ms2118×body80valid
56.0ms750×body320valid
20.0ms370×body160valid