Details

Time bar (total: 24.1s)

sample58.0ms

Algorithm
intervals
Results
26.0ms263×body80valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
02633
14826
210226
330226
496326
5390226
done500026

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.1b

localize36.0ms

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))

rewrite255.0ms

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:
33.0ms
(* (+ (* x y) z) y)
52.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
41.0ms
(* (+ (* (+ y a) y) b) y)
125.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series677.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (+ (* x y) z) y)
80.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
51.0ms
(* (+ (* (+ y a) y) b) y)
500.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.7s

Counts
111 → 111
Iterations

Useful iterations: 2 (495.0ms)

IterNodesCost
02012585
15352103
224871921
done50021921

prune706.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 26.2b

localize40.0ms

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))

rewrite203.0ms

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))
3.0ms
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
3.0ms
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
190.0ms
(/ (+ (* (+ (* (* (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))

series1.3s

Counts
4 → 12
Calls
4 calls:
293.0ms
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
239.0ms
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
237.0ms
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
533.0ms
(/ (+ (* (+ (* (* (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))

simplify2.3s

Counts
78 → 78
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01533316
13683055
210901957
346731780
done50001777

prune682.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 26.2b

localize43.0ms

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))

rewrite167.0ms

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 (* y (fma (+ y a) y b)))
4.0ms
(cbrt (* y (fma (+ y a) y b)))
3.0ms
(cbrt (* y (fma (+ y a) y b)))
155.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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))

series775.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(cbrt (* y (fma (+ y a) y b)))
121.0ms
(cbrt (* y (fma (+ y a) y b)))
114.0ms
(cbrt (* y (fma (+ y a) y b)))
421.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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))

simplify1.8s

Counts
78 → 78
Iterations

Useful iterations: 3 (684.0ms)

IterNodesCost
01133052
12672755
28221765
338221610
done50001610

prune852.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 26.2b

localize61.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

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 (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (fma (fma (fma (+ y a) y b) y c) y i)))
5.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (fma (fma (fma (+ y a) y b) y c) y i))
5.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (fma (fma (fma (+ y a) y b) y c) y i))
10.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (fma (fma (fma (+ y a) y b) y c) y i))

series2.5s

Counts
4 → 12
Calls
4 calls:
894.0ms
(cbrt (/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (fma (fma (fma (+ y a) y b) y c) y i)))
453.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (fma (fma (fma (+ y a) y b) y c) y i))
610.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (fma (fma (fma (+ y a) y b) y c) y i))
529.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (fma (fma (fma (+ y a) y b) y c) y i))

simplify1.2s

Counts
123 → 123
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01124637
11764602
23714236
313594228
done50004221

prune1.1s

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 26.2b

regimes980.0ms

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

sample2.9s

Algorithm
intervals
Results
2.0s8242×body80valid