Details

Time bar (total: 30.9s)

sample80.0ms

Algorithm
intervals
Results
53.0ms265×body80valid

simplify4.9s

Counts
1 → 1
Iterations
IterNodes
done5001
64295
52405
4921
3302
2102
148
026

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize62.0ms

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))

rewrite310.0ms

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:
81.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
71.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
35.0ms
(* (+ (* (+ 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))

series726.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
115.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
59.0ms
(* (+ (* (+ y a) y) b) y)
453.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.2s

Counts
115 → 115
Iterations
IterNodes
done5000
22089
1536
0208

prune1.2s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 28.7b

localize60.0ms

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

rewrite307.0ms

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:
47.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
91.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
5.0ms
(/ 1 (fma y (fma (fma (+ y a) y b) y c) i))
162.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma y (fma (fma (+ y a) y b) y c) i)))

series710.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
121.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
73.0ms
(/ 1 (fma y (fma (fma (+ y a) y b) y c) i))
431.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma y (fma (fma (+ y a) y b) y c) i)))

simplify2.4s

Counts
135 → 135
Iterations
IterNodes
done5006
21829
1512
0208

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 28.7b

localize110.0ms

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) (+ (* (+ (* (* (* (cbrt y) (cbrt y)) (fma (+ y a) y b)) (cbrt y)) c) y) i))

rewrite267.0ms

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)
265.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (* (cbrt y) (cbrt y)) (fma (+ y a) y b)) (cbrt y)) c) y) i))

series1.4s

Counts
4 → 12
Calls
4 calls:
257.0ms
(cbrt y)
280.0ms
(cbrt y)
317.0ms
(cbrt y)
506.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (* (cbrt y) (cbrt y)) (fma (+ y a) y b)) (cbrt y)) c) y) i))

simplify3.1s

Counts
88 → 88
Iterations
IterNodes
done5000
34269
2879
1278
0118

prune1.1s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 28.7b

localize101.0ms

Local error

Found 4 expressions with local error:

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

rewrite425.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
18×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×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 → 85
Calls
4 calls:
1.0ms
(cbrt (cbrt y))
1.0ms
(cbrt (cbrt y))
1.0ms
(cbrt (cbrt y))
421.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (* (cbrt y) (cbrt y)) (fma (+ y a) y b)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) c) y) i))

series1.6s

Counts
4 → 12
Calls
4 calls:
346.0ms
(cbrt (cbrt y))
389.0ms
(cbrt (cbrt y))
384.0ms
(cbrt (cbrt y))
484.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (* (cbrt y) (cbrt y)) (fma (+ y a) y b)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)))) c) y) i))

simplify2.9s

Counts
97 → 97
Iterations
IterNodes
done5000
33996
2887
1291
0128

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 28.7b

regimes1.3s

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

sample3.3s

Algorithm
intervals
Results
2.7s8250×body80valid