Details

Time bar (total: 8.9s)

sample38.0ms

Algorithm
intervals
Results
15.0ms263×body80valid

simplify82.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04816
110216
229216
380316
4214316
5361616
6416616
7500216
done500216

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* (+ y a) y) b) y)
29.4b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite245.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
12×add-exp-log add-cbrt-cube
10×pow1
9×times-frac associate-*r* associate-*l*
6×associate-*l/
5×flip3-+ flip-+
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp associate-/r* *-commutative cbrt-unprod associate-/l* unswap-sqr
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 99
Calls
4 calls:
27.0ms
(* (+ (* x y) z) y)
53.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
41.0ms
(* (+ (* (+ y a) y) b) y)
121.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series494.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (+ (* x y) z) y)
59.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
37.0ms
(* (+ (* (+ y a) y) b) y)
362.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify65.0ms

Counts
111 → 111
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05341179
121481042
250011024
done50011024

prune596.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 28.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.3b
(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
29.3b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

rewrite255.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
24×prod-exp
22×add-cbrt-cube
19×add-sqr-sqrt
13×pow1 add-cube-cbrt *-un-lft-identity associate-*r*
12×1-exp div-exp
9×associate-*l*
7×cbrt-unprod
6×rec-exp times-frac associate-*l/
4×cbrt-undiv expm1-log1p-u flip3-+ pow-prod-down flip-+ log1p-expm1-u add-log-exp
3×*-commutative associate-/l* unswap-sqr
2×frac-times pow-flip div-inv
1×frac-2neg associate-*r/ clear-num associate-/r* un-div-inv inv-pow
Counts
4 → 118
Calls
4 calls:
26.0ms
(* (+ (* x y) z) y)
50.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
11.0ms
(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
165.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

series505.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (+ (* x y) z) y)
57.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
62.0ms
(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
350.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

simplify64.0ms

Counts
130 → 130
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05451168
12207978
25001910
done5001910

prune569.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 28.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* (+ y a) y) b) y)
0.3b
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
29.4b
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite323.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
64×add-sqr-sqrt
60×add-cube-cbrt *-un-lft-identity
21×add-exp-log
18×associate-/r*
15×add-cbrt-cube
11×associate-/r/
9×pow1
8×flip3-+ div-exp flip-+
6×associate-*r* associate-*l* div-inv associate-/l*
4×cbrt-undiv expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/ unswap-sqr
1×pow-flip inv-pow
Counts
4 → 163
Calls
4 calls:
49.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
41.0ms
(* (+ (* (+ y a) y) b) y)
108.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
120.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1.1s

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
41.0ms
(* (+ (* (+ y a) y) b) y)
460.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
527.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify97.0ms

Counts
175 → 175
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
07093452
132383037
250012877
done50012877

prune702.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 28.9b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
0.1b
(* (+ (* (+ y a) y) b) y)
0.3b
(/ 1 (* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1))))
29.3b
(* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1)))

rewrite308.0ms

Algorithm
rewrite-expression-head
Rules
124×add-exp-log
65×prod-exp
46×div-exp
35×1-exp
29×add-cbrt-cube
23×rec-exp
15×add-sqr-sqrt
11×pow1 add-cube-cbrt *-un-lft-identity
10×associate-*r*
9×cbrt-unprod
8×cbrt-undiv
6×times-frac associate-*l* associate-*l/ associate-/r/
5×flip3-+ flip-+
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×pow-prod-down associate-/l*
2×pow-flip associate-*r/ un-div-inv *-commutative div-inv unswap-sqr
1×frac-2neg clear-num associate-/r* fma-udef inv-pow
Counts
4 → 138
Calls
4 calls:
0.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
41.0ms
(* (+ (* (+ y a) y) b) y)
130.0ms
(/ 1 (* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1))))
131.0ms
(* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1)))

series1.1s

Counts
4 → 12
Calls
4 calls:
59.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
43.0ms
(* (+ (* (+ y a) y) b) y)
471.0ms
(/ 1 (* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1))))
555.0ms
(* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (* (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) 1)))

simplify72.0ms

Counts
150 → 150
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06421913
124731381
250011354
done50011354

prune524.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 28.9b

regimes644.0ms

Accuracy

74.7% (0.3b remaining)

Error of 28.3b against oracle of 28.0b and baseline of 29.1b

bsearch8.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05531
15731
25731
done5731

end0.0ms

sample989.0ms

Algorithm
intervals
Results
503.0ms8241×body80valid