Details

Time bar (total: 1.1m)

sample205.0ms

Algorithm
intervals
Results
121.0ms513×body80valid

simplify10.6s

Counts
1 → 1
Iterations
IterNodes
done5000
54982
42301
3721
2217
167
028

prune54.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.1b

localize121.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 4.0) i)
0.2b
(* (* x 18.0) y)
4.5b
(* (* (* x 18.0) y) z)
6.4b
(* (* (* (* x 18.0) y) z) t)

rewrite580.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-exp-log add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
12×associate-*r*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
4 → 89
Calls
4 calls:
37.0ms
(* (* x 4.0) i)
41.0ms
(* (* x 18.0) y)
112.0ms
(* (* (* x 18.0) y) z)
383.0ms
(* (* (* (* x 18.0) y) z) t)

series290.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(* (* x 4.0) i)
66.0ms
(* (* x 18.0) y)
54.0ms
(* (* (* x 18.0) y) z)
89.0ms
(* (* (* (* x 18.0) y) z) t)

simplify4.2s

Counts
101 → 101
Iterations
IterNodes
done5000
21347
1371
0141

prune1.8s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.3b

localize103.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* j 27.0) k)
0.2b
(* (* x 4.0) i)
4.5b
(* (* 18.0 (* x y)) z)
6.4b
(* (* (* 18.0 (* x y)) z) t)

rewrite601.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-exp-log add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
12×associate-*r*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
4 → 89
Calls
4 calls:
39.0ms
(* (* j 27.0) k)
52.0ms
(* (* x 4.0) i)
98.0ms
(* (* 18.0 (* x y)) z)
342.0ms
(* (* (* 18.0 (* x y)) z) t)

series695.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (* j 27.0) k)
61.0ms
(* (* x 4.0) i)
57.0ms
(* (* 18.0 (* x y)) z)
366.0ms
(* (* (* 18.0 (* x y)) z) t)

simplify5.1s

Counts
101 → 101
Iterations
IterNodes
done5001
21678
1445
0167

prune2.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.3b

localize102.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* y x) 18.0)
0.3b
(* 27.0 (* k j))
3.4b
(fma (* (* (* y x) 18.0) t) z (- (* b c) (fma 4.0 (fma t a (* i x)) (* 27.0 (* k j)))))
3.8b
(* (* (* y x) 18.0) t)

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r*
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
1×fma-udef
Counts
4 → 73
Calls
4 calls:
37.0ms
(* (* y x) 18.0)
33.0ms
(* 27.0 (* k j))
1.0ms
(fma (* (* (* y x) 18.0) t) z (- (* b c) (fma 4.0 (fma t a (* i x)) (* 27.0 (* k j)))))
125.0ms
(* (* (* y x) 18.0) t)

series5.1s

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (* y x) 18.0)
40.0ms
(* 27.0 (* k j))
4.9s
(fma (* (* (* y x) 18.0) t) z (- (* b c) (fma 4.0 (fma t a (* i x)) (* 27.0 (* k j)))))
97.0ms
(* (* (* y x) 18.0) t)

simplify6.9s

Counts
85 → 85
Iterations
IterNodes
done5000
34588
21119
1319
0135

prune2.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.6b

localize352.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* b c) (fma 4.0 (fma t a (* i x)) (* 27.0 (* k j))))
0.3b
(* 27.0 (* k j))
3.4b
(fma (* (* y x) (* 18.0 t)) z (- (* b c) (fma 4.0 (fma t a (* i x)) (* 27.0 (* k j)))))
3.8b
(* (* y x) (* 18.0 t))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1 add-exp-log add-cbrt-cube
11×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
4×expm1-log1p-u associate-*l* log1p-expm1-u
3×prod-diff
2×associate-*r* *-commutative fma-udef
1×sub-neg flip3-- fma-neg diff-log flip-- associate--r+
Counts
4 → 73
Calls
4 calls:
27.0ms
(- (* b c) (fma 4.0 (fma t a (* i x)) (* 27.0 (* k j))))
35.0ms
(* 27.0 (* k j))
1.0ms
(fma (* (* y x) (* 18.0 t)) z (- (* b c) (fma 4.0 (fma t a (* i x)) (* 27.0 (* k j)))))
56.0ms
(* (* y x) (* 18.0 t))

series4.6s

Counts
4 → 12
Calls
4 calls:
568.0ms
(- (* b c) (fma 4.0 (fma t a (* i x)) (* 27.0 (* k j))))
57.0ms
(* 27.0 (* k j))
3.9s
(fma (* (* y x) (* 18.0 t)) z (- (* b c) (fma 4.0 (fma t a (* i x)) (* 27.0 (* k j)))))
103.0ms
(* (* y x) (* 18.0 t))

simplify2.9s

Counts
85 → 85
Iterations
IterNodes
done5000
21345
1397
0166

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

regimes5.5s

Accuracy

44.6% (2.6b remaining)

Error of 2.7b against oracle of 0.1b and baseline of 4.8b

bsearch591.0ms

Steps
ItersRangePoint
9
1.311814387936794e-169
1.835842643712574e-164
1.8068831272582442e-164
8
-1.5133775762134652e+24
-2.2897742511483079e+21
-7.702228306921126e+21

simplify32.0ms

Iterations
IterNodes
done79
179
054

end0.0ms

sample7.9s

Algorithm
intervals
Results
6.1s16178×body80valid