Details

Time bar (total: 23.9s)

sample80.0ms

Algorithm
intervals
Results
32.0ms266×body80valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
02633
14826
210226
330226
496326
5390226
done500026

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b
(* (+ (* (+ y a) y) b) y)
0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
29.4b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite558.0ms

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:
142.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
84.0ms
(* (+ (* (+ y a) y) b) y)
143.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
186.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series837.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
65.0ms
(* (+ (* (+ y a) y) b) y)
112.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
544.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.3s

Counts
111 → 111
Iterations

Useful iterations: 2 (589.0ms)

IterNodesCost
02042875
15342309
224682121
done50002121

prune926.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 29.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma (+ y a) y b) y c)
0.1b
(fma (fma (fma (+ y a) y b) y c) y i)
0.3b
(/ 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)))
29.4b
(/ (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))

rewrite21.0ms

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:
0.0ms
(fma (fma (+ y a) y b) y c)
0.0ms
(fma (fma (fma (+ y a) y b) y c) y i)
10.0ms
(/ 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)))
6.0ms
(/ (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:
85.0ms
(fma (fma (+ y a) y b) y c)
151.0ms
(fma (fma (fma (+ y a) y b) y c) y i)
618.0ms
(/ 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)))
806.0ms
(/ (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))

simplify1.3s

Counts
139 → 139
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01955152
14364931
219554572
done50024498

prune853.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 29.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma (+ y a) y b) y c)
0.1b
(fma (fma (fma (+ y a) y b) y c) y i)
0.3b
(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
29.1b
(* (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)) (fma y (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) t))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
13×associate-*l*
11×add-cbrt-cube
7×pow1
4×expm1-log1p-u div-exp prod-exp fma-udef log1p-expm1-u add-log-exp
3×associate-*r* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×distribute-rgt-in pow-flip frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
4 → 92
Calls
4 calls:
1.0ms
(fma (fma (+ y a) y b) y c)
1.0ms
(fma (fma (fma (+ y a) y b) y c) y i)
11.0ms
(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
32.0ms
(* (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)) (fma y (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) t))

series936.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(fma (fma (+ y a) y b) y c)
124.0ms
(fma (fma (fma (+ y a) y b) y c) y i)
91.0ms
(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
631.0ms
(* (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)) (fma y (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) t))

simplify988.0ms

Counts
104 → 104
Iterations

Useful iterations: done (979.0ms)

IterNodesCost
01392480
13022350
214802070
done50022066

prune787.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 29.0b

localize64.0ms

Local error

Found 4 expressions with local error:

27.0b
(cbrt (* y (fma (+ y a) y b)))
27.0b
(cbrt (* y (fma (+ y a) y b)))
27.0b
(cbrt (* y (fma (+ y a) y b)))
29.4b
(/ (+ (* (+ (* (+ (* (+ (* 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))

rewrite286.0ms

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)))
6.0ms
(cbrt (* y (fma (+ y a) y b)))
3.0ms
(cbrt (* y (fma (+ y a) y b)))
266.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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:
144.0ms
(cbrt (* y (fma (+ y a) y b)))
157.0ms
(cbrt (* y (fma (+ y a) y b)))
167.0ms
(cbrt (* y (fma (+ y a) y b)))
598.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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))

simplify2.8s

Counts
78 → 78
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01133052
12672755
28221765
338221610
done50001610

prune648.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 29.0b

regimes980.0ms

Accuracy

0% (1.1b remaining)

Error of 28.8b against oracle of 27.6b and baseline of 28.8b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02128
12528
done2528

end0.0ms

sample3.0s

Algorithm
intervals
Results
2.0s8258×body80valid