Details

Time bar (total: 26.3s)

sample61.0ms

Algorithm
intervals
Results
29.0ms263×body80valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
02633
14826
210226
330226
496326
5390226
done500026

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.1b

localize40.0ms

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)
26.5b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite312.0ms

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:
26.0ms
(* (+ (* x y) z) y)
57.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
54.0ms
(* (+ (* (+ y a) y) b) y)
170.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series731.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (+ (* x y) z) y)
82.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
47.0ms
(* (+ (* (+ y a) y) b) y)
546.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.0s

Counts
111 → 111
Iterations

Useful iterations: 2 (529.0ms)

IterNodesCost
02012585
15352103
224871921
done50021921

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 26.2b

localize44.0ms

Local error

Found 4 expressions with local error:

18.1b
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
18.1b
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
18.1b
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
26.5b
(/ (+ (* (+ (* (* (cbrt (* (fma (fma x y z) y 27464.7644705) y)) (cbrt (* (fma (fma x y z) y 27464.7644705) y))) (cbrt (* (fma (fma x y z) y 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite257.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod 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 → 66
Calls
4 calls:
3.0ms
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
4.0ms
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
3.0ms
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
245.0ms
(/ (+ (* (+ (* (* (cbrt (* (fma (fma x y z) y 27464.7644705) y)) (cbrt (* (fma (fma x y z) y 27464.7644705) y))) (cbrt (* (fma (fma x y z) y 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.5s

Counts
4 → 12
Calls
4 calls:
284.0ms
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
279.0ms
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
306.0ms
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
626.0ms
(/ (+ (* (+ (* (* (cbrt (* (fma (fma x y z) y 27464.7644705) y)) (cbrt (* (fma (fma x y z) y 27464.7644705) y))) (cbrt (* (fma (fma x y z) y 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.6s

Counts
78 → 78
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01533316
13683055
210901957
346731780
done50001777

prune860.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 26.2b

localize61.0ms

Local error

Found 4 expressions with local error:

25.6b
(cbrt (* y (fma (+ y a) y b)))
25.6b
(cbrt (* y (fma (+ y a) y b)))
25.6b
(cbrt (* y (fma (+ y a) y b)))
26.5b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* y (fma (+ y a) y b))) (cbrt (* y (fma (+ y a) y b)))) (cbrt (* y (fma (+ y a) y b)))) c) y) i))

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod 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 → 66
Calls
4 calls:
7.0ms
(cbrt (* y (fma (+ y a) y b)))
7.0ms
(cbrt (* y (fma (+ y a) y b)))
4.0ms
(cbrt (* y (fma (+ y a) y b)))
187.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* y (fma (+ y a) y b))) (cbrt (* y (fma (+ y a) y b)))) (cbrt (* y (fma (+ y a) y b)))) c) y) i))

series1.1s

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (* y (fma (+ y a) y b)))
158.0ms
(cbrt (* y (fma (+ y a) y b)))
174.0ms
(cbrt (* y (fma (+ y a) y b)))
597.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* y (fma (+ y a) y b))) (cbrt (* y (fma (+ y a) y b)))) (cbrt (* y (fma (+ y a) y b)))) c) y) i))

simplify2.5s

Counts
78 → 78
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01133052
12672755
28221765
338221610
done50001610

prune674.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 26.2b

localize71.0ms

Local error

Found 4 expressions with local error:

2.7b
(cbrt (/ (fma (+ 230661.510616 (* (fma (fma x y z) y 27464.7644705) y)) y t) (fma (fma (fma (+ y a) y b) y c) y i)))
26.5b
(/ (fma (+ 230661.510616 (* (fma (fma x y z) y 27464.7644705) y)) y t) (fma (fma (fma (+ y a) y b) y c) y i))
26.5b
(/ (fma (+ 230661.510616 (* (fma (fma x y z) y 27464.7644705) y)) y t) (fma (fma (fma (+ y a) y b) y c) y i))
26.5b
(/ (fma (+ 230661.510616 (* (fma (fma x y z) y 27464.7644705) y)) y t) (fma (fma (fma (+ y a) y b) y c) y i))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×cbrt-prod
10×add-exp-log add-cbrt-cube
9×associate-/r* associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv frac-2neg div-exp clear-num
1×cbrt-div pow1/3
Counts
4 → 111
Calls
4 calls:
2.0ms
(cbrt (/ (fma (+ 230661.510616 (* (fma (fma x y z) y 27464.7644705) y)) y t) (fma (fma (fma (+ y a) y b) y c) y i)))
5.0ms
(/ (fma (+ 230661.510616 (* (fma (fma x y z) y 27464.7644705) y)) y t) (fma (fma (fma (+ y a) y b) y c) y i))
5.0ms
(/ (fma (+ 230661.510616 (* (fma (fma x y z) y 27464.7644705) y)) y t) (fma (fma (fma (+ y a) y b) y c) y i))
5.0ms
(/ (fma (+ 230661.510616 (* (fma (fma x y z) y 27464.7644705) y)) y t) (fma (fma (fma (+ y a) y b) y c) y i))

series2.4s

Counts
4 → 12
Calls
4 calls:
908.0ms
(cbrt (/ (fma (+ 230661.510616 (* (fma (fma x y z) y 27464.7644705) y)) y t) (fma (fma (fma (+ y a) y b) y c) y i)))
510.0ms
(/ (fma (+ 230661.510616 (* (fma (fma x y z) y 27464.7644705) y)) y t) (fma (fma (fma (+ y a) y b) y c) y i))
467.0ms
(/ (fma (+ 230661.510616 (* (fma (fma x y z) y 27464.7644705) y)) y t) (fma (fma (fma (+ y a) y b) y c) y i))
527.0ms
(/ (fma (+ 230661.510616 (* (fma (fma x y z) y 27464.7644705) y)) y t) (fma (fma (fma (+ y a) y b) y c) y i))

simplify952.0ms

Counts
123 → 123
Iterations

Useful iterations: done (944.0ms)

IterNodesCost
01134801
11774766
23774236
313294228
done50004221

prune1.3s

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 26.2b

regimes894.0ms

Accuracy

0% (1.0b remaining)

Error of 29.0b against oracle of 27.9b and baseline of 29.0b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02633
14133
done4133

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.8s8242×body80valid