Details

Time bar (total: 7.8s)

sample40.0ms

Algorithm
intervals
Results
16.0ms268×body80valid

simplify88.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04816
110216
229216
380316
4214316
5361616
6416616
7500216
done500216

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* x y) z) 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))

rewrite230.0ms

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) 27464.7644705) y)
25.0ms
(* (+ (* x y) z) y)
39.0ms
(* (+ (* (+ y a) y) b) y)
116.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series483.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
38.0ms
(* (+ (* x y) z) y)
36.0ms
(* (+ (* (+ y a) y) b) y)
355.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify65.0ms

Counts
111 → 111
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05341179
121481042
250031024
done50031024

prune569.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 29.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
0.1b
(* (+ (* (+ y a) y) b) y)
29.3b
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
9×times-frac
8×pow1
6×associate-*r* associate-*l*
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×flip3-+ associate-/r* flip-+ associate-/l*
2×pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod unswap-sqr
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
4 → 85
Calls
4 calls:
67.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
39.0ms
(* (+ (* (+ y a) y) b) y)
46.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series511.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
59.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
36.0ms
(* (+ (* (+ y a) y) b) y)
345.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify51.0ms

Counts
97 → 97
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0399954
11509865
25001854
done5001854

prune488.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 29.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
0.1b
(* (+ (* (+ y a) y) b) y)
0.2b
(/ 1 (/ (+ (* (+ (* (+ (* (+ 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
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
58×add-sqr-sqrt
56×add-cube-cbrt *-un-lft-identity
19×add-exp-log
16×associate-/r*
13×add-cbrt-cube
8×div-exp
7×pow1
6×div-inv associate-/l*
4×cbrt-undiv expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×rec-exp frac-2neg flip3-+ 1-exp associate-*l/ clear-num flip-+ associate-/l/
1×pow-flip pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod fma-udef inv-pow unswap-sqr
Counts
4 → 141
Calls
4 calls:
0.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
39.0ms
(* (+ (* (+ y a) y) b) y)
35.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)))
67.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))

series1.1s

Counts
4 → 12
Calls
4 calls:
60.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
36.0ms
(* (+ (* (+ y a) y) b) y)
447.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)))
513.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))

simplify74.0ms

Counts
153 → 153
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05402509
123832248
250012142
done50012142

prune577.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 29.1b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite264.0ms

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:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
260.0ms
(/ (+ (* (+ (* (+ (* (* (* (fma x y z) (cbrt y)) (cbrt y)) (cbrt y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series923.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt y)
185.0ms
(cbrt y)
175.0ms
(cbrt y)
385.0ms
(/ (+ (* (+ (* (+ (* (* (* (fma x y z) (cbrt y)) (cbrt y)) (cbrt y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify100.0ms

Counts
84 → 84
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
02701113
18921006
23963984
35001973
done5001973

prune449.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 29.1b

regimes448.0ms

Accuracy

0% (1.2b remaining)

Error of 29.0b against oracle of 27.7b and baseline of 29.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03313
13313
done3313

end0.0ms

sample1.0s

Algorithm
intervals
Results
518.0ms8269×body80valid