Details

Time bar (total: 33.3s)

sample51.0ms

Algorithm
intervals
Results
24.0ms262×body80valid

simplify9.1s

Counts
1 → 1
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
02633
14826
210226
329226
475126
5185626
6288326
7329226
8381326
done500126

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 30.9b

localize70.0ms

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) c) y)
30.1b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite402.0ms

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:
47.0ms
(* (+ (* x y) z) y)
67.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
98.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
185.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series860.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (+ (* x y) z) y)
100.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
101.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
587.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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: done (1.9s)

IterNodesCost
02022701
15302167
219411993
done50001989

prune1.0s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 29.7b

localize81.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
30.1b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (fma (fma (+ y a) y b) y c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

rewrite746.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×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 → 72
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
2.0ms
(cbrt y)
738.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (fma (fma (+ y a) y b) y c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

series1.5s

Counts
4 → 12
Calls
4 calls:
279.0ms
(cbrt y)
277.0ms
(cbrt y)
331.0ms
(cbrt y)
634.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (fma (fma (+ y a) y b) y c) (* (cbrt y) (cbrt y))) (cbrt y)) i))

simplify2.8s

Counts
84 → 84
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
01152113
12701855
28791388
340011377
done50001377

prune730.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 29.7b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
0.1b
(fma (fma x y z) y 27464.7644705)
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)))
30.2b
(/ (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))

rewrite40.0ms

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:
1.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
1.0ms
(fma (fma x y z) y 27464.7644705)
20.0ms
(/ 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)))
10.0ms
(/ (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:
97.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
60.0ms
(fma (fma x y z) y 27464.7644705)
652.0ms
(/ 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)))
898.0ms
(/ (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))

simplify2.1s

Counts
139 → 139
Iterations

Useful iterations: 3 (777.0ms)

IterNodesCost
02005094
13894873
28044464
323604442
done50004442

prune927.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 29.7b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma x y z) y 27464.7644705)
0.3b
(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) (/ 1 (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))))
0.3b
(/ 1 (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))
30.1b
(* (fma (fma (fma (+ y a) y b) y c) y i) (/ 1 (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
29×add-sqr-sqrt
23×*-un-lft-identity times-frac
22×add-cube-cbrt
20×div-exp add-cbrt-cube
16×prod-exp
13×associate-*r*
10×pow1 rec-exp 1-exp
6×cbrt-undiv associate-/l*
4×expm1-log1p-u associate-/r* cbrt-unprod log1p-expm1-u add-log-exp
3×pow-flip associate-*l* div-inv unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r/ un-div-inv inv-pow
1×*-commutative fma-udef
Counts
4 → 123
Calls
4 calls:
0.0ms
(fma (fma x y z) y 27464.7644705)
19.0ms
(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) (/ 1 (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))))
10.0ms
(/ 1 (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))
46.0ms
(* (fma (fma (fma (+ y a) y b) y c) y i) (/ 1 (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)))

series1.7s

Counts
4 → 12
Calls
4 calls:
50.0ms
(fma (fma x y z) y 27464.7644705)
691.0ms
(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) (/ 1 (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))))
189.0ms
(/ 1 (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))
813.0ms
(* (fma (fma (fma (+ y a) y b) y c) y i) (/ 1 (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)))

simplify2.8s

Counts
135 → 135
Iterations

Useful iterations: 2 (163.0ms)

IterNodesCost
01603675
13263381
28042867
326202867
done50012867

prune626.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 29.7b

regimes1.2s

Accuracy

0% (1.1b remaining)

Error of 29.6b against oracle of 28.6b and baseline of 29.6b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02633
14133
done4133

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.8s8235×body80valid