Details

Time bar (total: 20.1s)

sample69.0ms

Algorithm
intervals
Results
23.0ms83×body1280valid
14.0ms57×body640valid
7.0ms18×body2560valid
4.0ms67×body80valid
3.0ms19×body320valid
1.0ms12×body160valid

simplify3.8s

Counts
1 → 1
Iterations
IterNodes
done5001
114929
104459
94008
83078
71616
6629
5284
4166
380
241
118
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.8b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (+ (* x y) z))
0.0b
(+ (* x y) z)
11.3b
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×*-un-lft-identity
7×sum-log
5×add-sqr-sqrt
3×pow1 add-cbrt-cube diff-log add-exp-log add-cube-cbrt
2×+-commutative flip3-+ flip-+ distribute-lft-out distribute-lft-out--
1×associate-+r+ sub-neg flip3-- flip-- associate--r+ difference-of-squares
Counts
3 → 43
Calls
3 calls:
28.0ms
(+ 1.0 (+ (* x y) z))
13.0ms
(+ (* x y) z)
59.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series141.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ 1.0 (+ (* x y) z))
25.0ms
(+ (* x y) z)
78.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify2.3s

Counts
52 → 52
Iterations
IterNodes
done5004
33171
2796
1224
078

prune333.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 10.3b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×add-sqr-sqrt *-un-lft-identity
2×pow1 sum-log add-cbrt-cube diff-log add-exp-log add-cube-cbrt
1×+-commutative sub-neg flip3-+ flip3-- flip-+ flip-- associate--r+ distribute-lft-out-- difference-of-squares
Counts
2 → 27
Calls
2 calls:
12.0ms
(+ (* x y) z)
22.0ms
(- (fma x y z) (+ (* x y) z))

series77.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ (* x y) z)
39.0ms
(- (fma x y z) (+ (* x y) z))

simplify2.9s

Counts
33 → 33
Iterations
IterNodes
done5000
44212
31218
2425
1149
054

prune174.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 10.3b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) z)
0.1b
(* (+ 1.0 (+ (* x y) z)) (+ 1.0 (+ (* x y) z)))
0.2b
(* (fma x y z) (fma x y z))
30.9b
(- (* (fma x y z) (fma x y z)) (* (+ 1.0 (+ (* x y) z)) (+ 1.0 (+ (* x y) z))))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
18×pow1
16×add-sqr-sqrt
12×add-cube-cbrt
9×swap-sqr
8×add-cbrt-cube add-exp-log add-log-exp
7×flip3-+ associate-*r* associate-*l* flip-+
6×distribute-lft-out
4×frac-times
2×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down associate-*l/ prod-exp associate-*r/ pow-sqr *-commutative pow-prod-up cbrt-unprod associate--r+ unswap-sqr
1×+-commutative sum-log sub-neg flip3-- diff-log flip-- difference-of-squares
Counts
4 → 91
Calls
4 calls:
6.0ms
(+ (* x y) z)
173.0ms
(* (+ 1.0 (+ (* x y) z)) (+ 1.0 (+ (* x y) z)))
6.0ms
(* (fma x y z) (fma x y z))
6.0ms
(- (* (fma x y z) (fma x y z)) (* (+ 1.0 (+ (* x y) z)) (+ 1.0 (+ (* x y) z))))

series302.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (* x y) z)
79.0ms
(* (+ 1.0 (+ (* x y) z)) (+ 1.0 (+ (* x y) z)))
10.0ms
(* (fma x y z) (fma x y z))
177.0ms
(- (* (fma x y z) (fma x y z)) (* (+ 1.0 (+ (* x y) z)) (+ 1.0 (+ (* x y) z))))

simplify1.7s

Counts
103 → 103
Iterations
IterNodes
done5002
22164
1507
0145

prune507.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 10.3b

localize93.0ms

Local error

Found 4 expressions with local error:

9.8b
(cbrt (fma x y z))
9.8b
(cbrt (fma x y z))
20.2b
(/ (- (* (* (* (cbrt (fma x y z)) (cbrt (fma x y z))) (* (cbrt (fma x y z)) (cbrt (fma x y z)))) (* (cbrt (fma x y z)) (cbrt (fma x y z)))) (* (+ 1.0 (+ (* x y) z)) (+ 1.0 (+ (* x y) z)))) (+ (fma x y z) (+ 1.0 (+ (* x y) z))))
42.4b
(- (* (* (* (cbrt (fma x y z)) (cbrt (fma x y z))) (* (cbrt (fma x y z)) (cbrt (fma x y z)))) (* (cbrt (fma x y z)) (cbrt (fma x y z)))) (* (+ 1.0 (+ (* x y) z)) (+ 1.0 (+ (* x y) z))))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
16×add-sqr-sqrt add-cube-cbrt
15×times-frac
12×distribute-lft-out
6×cbrt-prod add-cbrt-cube add-exp-log add-log-exp
5×associate-/r*
4×pow1
3×associate-/l*
2×flip3-- pow1/3 associate-/r/ flip-- associate--r+ associate-/l/
1×distribute-rgt-in cbrt-undiv clear-num sub-neg frac-2neg distribute-lft-in flip3-+ diff-log div-sub div-exp flip-+ div-inv
Counts
4 → 76
Calls
4 calls:
1.0ms
(cbrt (fma x y z))
1.0ms
(cbrt (fma x y z))
924.0ms
(/ (- (* (* (* (cbrt (fma x y z)) (cbrt (fma x y z))) (* (cbrt (fma x y z)) (cbrt (fma x y z)))) (* (cbrt (fma x y z)) (cbrt (fma x y z)))) (* (+ 1.0 (+ (* x y) z)) (+ 1.0 (+ (* x y) z)))) (+ (fma x y z) (+ 1.0 (+ (* x y) z))))
214.0ms
(- (* (* (* (cbrt (fma x y z)) (cbrt (fma x y z))) (* (cbrt (fma x y z)) (cbrt (fma x y z)))) (* (cbrt (fma x y z)) (cbrt (fma x y z)))) (* (+ 1.0 (+ (* x y) z)) (+ 1.0 (+ (* x y) z))))

series495.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(cbrt (fma x y z))
63.0ms
(cbrt (fma x y z))
206.0ms
(/ (- (* (* (* (cbrt (fma x y z)) (cbrt (fma x y z))) (* (cbrt (fma x y z)) (cbrt (fma x y z)))) (* (cbrt (fma x y z)) (cbrt (fma x y z)))) (* (+ 1.0 (+ (* x y) z)) (+ 1.0 (+ (* x y) z)))) (+ (fma x y z) (+ 1.0 (+ (* x y) z))))
175.0ms
(- (* (* (* (cbrt (fma x y z)) (cbrt (fma x y z))) (* (cbrt (fma x y z)) (cbrt (fma x y z)))) (* (cbrt (fma x y z)) (cbrt (fma x y z)))) (* (+ 1.0 (+ (* x y) z)) (+ 1.0 (+ (* x y) z))))

simplify2.2s

Counts
88 → 88
Iterations
IterNodes
done5000
22160
1439
0151

prune490.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 10.3b

regimes207.0ms

Accuracy

0% (0.0b remaining)

Error of 8.3b against oracle of 8.3b and baseline of 8.3b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done13
113
011

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.0s2610×body1280valid
795.0ms1655×body640valid
233.0ms573×body2560valid
202.0ms773×body320valid
122.0ms2058×body80valid
37.0ms331×body160valid