Details

Time bar (total: 35.8s)

sample107.0ms

Algorithm
intervals
Results
60.0ms265×body80valid

simplify9.2s

Counts
1 → 1
Iterations
IterNodes
done5000
84575
74282
63462
51942
4856
3302
2102
148
026

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite449.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×*-un-lft-identity add-cube-cbrt
12×add-cbrt-cube add-exp-log
10×pow1
9×times-frac associate-*r* associate-*l*
6×associate-*l/
5×flip3-+ flip-+
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* pow-prod-down prod-exp *-commutative cbrt-unprod associate-/l* unswap-sqr
2×associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 103
Calls
4 calls:
83.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
143.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
45.0ms
(* (+ (* (+ y a) y) b) y)
176.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series710.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
117.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
42.0ms
(* (+ (* (+ y a) y) b) y)
458.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.3s

Counts
115 → 115
Iterations
IterNodes
done5001
22021
1536
0208

prune1.2s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 28.7b

localize74.0ms

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

rewrite404.0ms

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-+ insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* pow-prod-down *-commutative associate-/l*
2×frac-times cbrt-undiv rec-exp 1-exp div-inv
1×clear-num frac-2neg associate-*r/ un-div-inv pow-flip inv-pow
Counts
4 → 123
Calls
4 calls:
69.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
118.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
4.0ms
(/ 1 (fma (fma (fma y (+ y a) b) y c) y i))
211.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma (fma y (+ y a) b) y c) y i)))

series669.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
107.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
80.0ms
(/ 1 (fma (fma (fma y (+ y a) b) y c) y i))
391.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma (fma y (+ y a) b) y c) y i)))

simplify2.5s

Counts
135 → 135
Iterations
IterNodes
done5005
21743
1512
0208

prune1.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 28.7b

localize94.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
29.3b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (fma y (+ y a) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×cbrt-prod times-frac
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* pow1/3 associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 76
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
233.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (fma y (+ y a) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

series1.7s

Counts
4 → 12
Calls
4 calls:
264.0ms
(cbrt y)
276.0ms
(cbrt y)
289.0ms
(cbrt y)
906.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (fma y (+ y a) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

simplify2.9s

Counts
88 → 88
Iterations
IterNodes
done5000
33962
2870
1278
0118

prune984.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 28.7b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t)
0.0b
(fma (fma y (+ y a) b) y c)
0.3b
(/ 1 (/ (fma y (fma (fma y (+ y a) b) y c) i) (fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t)))
29.4b
(/ (fma y (fma (fma y (+ y a) b) y c) i) (fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
54×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×add-exp-log
16×associate-/r*
11×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×pow1
4×expm1-log1p-u cbrt-undiv insert-posit16 log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg 1-exp fma-udef
1×associate-/r/ pow-flip inv-pow
Counts
4 → 131
Calls
4 calls:
0.0ms
(fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t)
0.0ms
(fma (fma y (+ y a) b) y c)
14.0ms
(/ 1 (/ (fma y (fma (fma y (+ y a) b) y c) i) (fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t)))
6.0ms
(/ (fma y (fma (fma y (+ y a) b) y c) i) (fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t))

series1.7s

Counts
4 → 12
Calls
4 calls:
157.0ms
(fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t)
107.0ms
(fma (fma y (+ y a) b) y c)
686.0ms
(/ 1 (/ (fma y (fma (fma y (+ y a) b) y c) i) (fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t)))
725.0ms
(/ (fma y (fma (fma y (+ y a) b) y c) i) (fma y (fma y (fma y (fma y x z) 27464.7644705) 230661.510616) t))

simplify2.8s

Counts
143 → 143
Iterations
IterNodes
done5001
33066
21010
1439
0202

prune1.4s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 28.6b

regimes1.6s

Accuracy

0% (0.8b remaining)

Error of 28.7b against oracle of 27.9b and baseline of 28.7b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done42
142
028

end0.0ms

sample3.2s

Algorithm
intervals
Results
2.1s8250×body80valid