Details

Time bar (total: 15.9s)

sample81.0ms

Algorithm
intervals
Results
40.0ms354×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
01717
13517
29216
325716
460116
5128416
done500116

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x 2.0) (* (* (* y 9.0) z) t))
0.1b
(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
0.7b
(* (* y 9.0) z)
5.2b
(* (* (* y 9.0) z) t)

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* add-log-exp
4×expm1-log1p-u log1p-expm1-u
2×associate-*l* *-commutative
1×sub-neg flip3-- fma-neg diff-log prod-diff flip-- fma-udef
Counts
4 → 69
Calls
4 calls:
15.0ms
(- (* x 2.0) (* (* (* y 9.0) z) t))
1.0ms
(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
31.0ms
(* (* y 9.0) z)
97.0ms
(* (* (* y 9.0) z) t)

series426.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(- (* x 2.0) (* (* (* y 9.0) z) t))
244.0ms
(fma (* a 27.0) b (- (* x 2.0) (* (* (* y 9.0) z) t)))
30.0ms
(* (* y 9.0) z)
40.0ms
(* (* (* y 9.0) z) t)

simplify1.8s

Counts
81 → 81
Iterations

Useful iterations: 2 (328.0ms)

IterNodesCost
0125997
1315954
21867823
done5000823

prune531.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 2.0 x) (* 9.0 (* t (* z y))))
0.1b
(fma (* a 27.0) b (- (* 2.0 x) (* 9.0 (* t (* z y)))))
0.3b
(* 9.0 (* t (* z y)))
4.9b
(* t (* z y))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* add-log-exp
4×expm1-log1p-u log1p-expm1-u
2×associate-*r* *-commutative
1×sub-neg flip3-- fma-neg diff-log prod-diff flip-- fma-udef
Counts
4 → 69
Calls
4 calls:
17.0ms
(- (* 2.0 x) (* 9.0 (* t (* z y))))
1.0ms
(fma (* a 27.0) b (- (* 2.0 x) (* 9.0 (* t (* z y)))))
71.0ms
(* 9.0 (* t (* z y)))
27.0ms
(* t (* z y))

series460.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(- (* 2.0 x) (* 9.0 (* t (* z y))))
251.0ms
(fma (* a 27.0) b (- (* 2.0 x) (* 9.0 (* t (* z y)))))
51.0ms
(* 9.0 (* t (* z y)))
39.0ms
(* t (* z y))

simplify1.3s

Counts
81 → 81
Iterations

Useful iterations: 2 (223.0ms)

IterNodesCost
0114987
1279948
21204817
done5000817

prune555.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (fma 27.0 (* a b) (* 2.0 x)) (* 9.0 (* t (* z y))))
0.1b
(fma 27.0 (* a b) (* 2.0 x))
0.3b
(* 9.0 (* t (* z y)))
4.9b
(* t (* z y))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*l* add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×fma-neg prod-diff
2×associate-*r* *-commutative fma-udef
1×sub-neg flip3-- diff-log associate--l+ flip--
Counts
4 → 74
Calls
4 calls:
13.0ms
(- (fma 27.0 (* a b) (* 2.0 x)) (* 9.0 (* t (* z y))))
0.0ms
(fma 27.0 (* a b) (* 2.0 x))
68.0ms
(* 9.0 (* t (* z y)))
25.0ms
(* t (* z y))

series368.0ms

Counts
4 → 12
Calls
4 calls:
224.0ms
(- (fma 27.0 (* a b) (* 2.0 x)) (* 9.0 (* t (* z y))))
57.0ms
(fma 27.0 (* a b) (* 2.0 x))
45.0ms
(* 9.0 (* t (* z y)))
42.0ms
(* t (* z y))

simplify1.0s

Counts
86 → 86
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01141121
12781082
21203931
done5002912

prune675.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 2.0 x) (* (* 9.0 t) (* z y)))
0.1b
(fma (* a 27.0) b (- (* 2.0 x) (* (* 9.0 t) (* z y))))
5.3b
(* (* 9.0 t) (* z y))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
5×add-log-exp
3×add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u
1×sub-neg flip3-- fma-neg diff-log associate-*r* associate-*l* prod-diff *-commutative flip-- fma-udef
Counts
3 → 50
Calls
3 calls:
16.0ms
(- (* 2.0 x) (* (* 9.0 t) (* z y)))
1.0ms
(fma (* a 27.0) b (- (* 2.0 x) (* (* 9.0 t) (* z y))))
58.0ms
(* (* 9.0 t) (* z y))

series419.0ms

Counts
3 → 9
Calls
3 calls:
120.0ms
(- (* 2.0 x) (* (* 9.0 t) (* z y)))
252.0ms
(fma (* a 27.0) b (- (* 2.0 x) (* (* 9.0 t) (* z y))))
46.0ms
(* (* 9.0 t) (* z y))

simplify1.5s

Counts
59 → 59
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0102849
1266812
21235698
done5001696

prune347.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes1.2s

Accuracy

80.8% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.8b

bsearch233.0ms

Steps
ItersRangePoint
6
1.6196536200123455e-49
8.387934641084478e-49
6.181421035970573e-49
10
-7.372900721031947e+37
-2.3940999761798816e+21
-2.1150978170932987e+23

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03156
14156
done4156

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.5s11072×body80valid