Details

Time bar (total: 22.5s)

sample73.0ms

Algorithm
intervals
Results
33.0ms266×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
02633
14826
210226
330226
496326
5390226
done500026

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 31.2b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b
(* (+ (* (+ y a) y) b) y)
30.4b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite398.0ms

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:
53.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
116.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
55.0ms
(* (+ (* (+ y a) y) b) y)
172.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series651.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
105.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
38.0ms
(* (+ (* (+ y a) y) b) y)
443.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.8s

Counts
111 → 111
Iterations

Useful iterations: 2 (442.0ms)

IterNodesCost
02052813
15402269
225352069
done50012069

prune831.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 30.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.4b
(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
30.2b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)))

rewrite445.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
21×add-exp-log
20×times-frac
19×associate-*r*
15×add-cbrt-cube
11×pow1
9×associate-*l*
6×associate-*l/ prod-exp
5×unswap-sqr
4×expm1-log1p-u flip3-+ div-exp cbrt-unprod flip-+ log1p-expm1-u add-log-exp
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp div-inv
1×pow-flip frac-2neg associate-*r/ clear-num un-div-inv inv-pow
Counts
4 → 119
Calls
4 calls:
65.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
131.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
9.0ms
(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
235.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)))

series754.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
138.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
97.0ms
(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
451.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)))

simplify2.6s

Counts
131 → 131
Iterations

Useful iterations: done (2.6s)

IterNodesCost
02043312
15132754
228782488
done50012486

prune836.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 30.2b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
30.4b
(/ (+ (* (+ (* (* (fma (fma x y z) y 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite309.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 72
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
304.0ms
(/ (+ (* (+ (* (* (fma (fma x y z) y 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.3s

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt y)
238.0ms
(cbrt y)
231.0ms
(cbrt y)
548.0ms
(/ (+ (* (+ (* (* (fma (fma x y z) y 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify601.0ms

Counts
84 → 84
Iterations

Useful iterations: done (597.0ms)

IterNodesCost
01152113
12751855
29071529
done50001377

prune700.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 30.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma (+ y a) y b) y c)
0.1b
(fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)
0.4b
(/ 1 (/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)))
30.5b
(/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×add-exp-log
16×associate-/r*
11×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num fma-udef
1×pow-flip associate-/r/ inv-pow
Counts
4 → 127
Calls
4 calls:
1.0ms
(fma (fma (+ y a) y b) y c)
1.0ms
(fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)
28.0ms
(/ 1 (/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)))
5.0ms
(/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))

series1.7s

Counts
4 → 12
Calls
4 calls:
99.0ms
(fma (fma (+ y a) y b) y c)
138.0ms
(fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)
700.0ms
(/ 1 (/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)))
808.0ms
(/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))

simplify1.2s

Counts
139 → 139
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01985167
14424947
217684574
done50014511

prune756.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 30.2b

regimes854.0ms

Accuracy

0% (1.2b remaining)

Error of 29.5b against oracle of 28.4b and baseline of 29.5b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02532
13732
done3732

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.8s8255×body80valid