Details

Time bar (total: 29.8s)

sample445.0ms

Algorithm
halfpoints

simplify1.1s

Counts
1 → 1
Iterations
IterNodes
done5000
61025
5247
4128
383
248
130
016

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.5b

localize57.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (- (exp x) (exp (- x))) (/ (sin y) 2.0))
58.4b
(- (exp x) (exp (- x)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×*-un-lft-identity
17×add-cube-cbrt
13×associate-*r*
10×times-frac
9×prod-diff
7×add-cbrt-cube add-exp-log
5×associate-*l*
4×pow1 add-log-exp
3×flip3-- fma-neg flip--
2×expm1-log1p-u frac-times associate-*l/ prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- difference-of-squares unswap-sqr
1×cbrt-undiv sub-neg diff-log div-exp pow-prod-down associate-*r/ *-commutative div-inv
Counts
2 → 68
Calls
2 calls:
92.0ms
(* (- (exp x) (exp (- x))) (/ (sin y) 2.0))
25.0ms
(- (exp x) (exp (- x)))

series178.0ms

Counts
2 → 6
Calls
2 calls:
111.0ms
(* (- (exp x) (exp (- x))) (/ (sin y) 2.0))
67.0ms
(- (exp x) (exp (- x)))

simplify1.2s

Counts
74 → 74
Iterations
IterNodes
done5001
21901
1369
0151

prune381.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5))))
0.1b
(* 1/60 (pow x 5))
0.1b
(fma 1/3 (pow x 3) (* 1/60 (pow x 5)))
0.1b
(* (fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5)))) (/ (sin y) 2.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×associate-*r*
15×*-un-lft-identity add-cube-cbrt
14×add-exp-log
11×add-cbrt-cube
10×times-frac
6×pow1 associate-*l*
5×prod-exp unswap-sqr
4×expm1-log1p-u unpow-prod-down log1p-expm1-u add-log-exp
3×cbrt-unprod
2×*-commutative fma-udef sqr-pow
1×pow-to-exp cbrt-undiv div-exp pow-prod-down pow-exp associate-*r/ div-inv
Counts
4 → 81
Calls
4 calls:
0.0ms
(fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5))))
10.0ms
(* 1/60 (pow x 5))
0.0ms
(fma 1/3 (pow x 3) (* 1/60 (pow x 5)))
18.0ms
(* (fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5)))) (/ (sin y) 2.0))

series451.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5))))
68.0ms
(* 1/60 (pow x 5))
156.0ms
(fma 1/3 (pow x 3) (* 1/60 (pow x 5)))
145.0ms
(* (fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5)))) (/ (sin y) 2.0))

simplify1.2s

Counts
93 → 93
Iterations
IterNodes
done5001
21849
1349
0153

prune729.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1/3 (pow x 3) (* 2 x))
0.3b
(* (/ (fma (pow x 5) 1/60 (fma 1/3 (pow x 3) (* 2 x))) (sqrt 2.0)) (/ (sin y) (sqrt 2.0)))
0.4b
(/ (sin y) (sqrt 2.0))
0.5b
(/ (fma (pow x 5) 1/60 (fma 1/3 (pow x 3) (* 2 x))) (sqrt 2.0))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
84×times-frac
60×*-un-lft-identity add-cube-cbrt
48×sqrt-prod
22×associate-*r* associate-*l*
20×add-cbrt-cube add-exp-log
12×associate-/r*
9×unswap-sqr
6×pow1 cbrt-undiv div-exp associate-/l*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
2×clear-num frac-2neg
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative fma-udef
Counts
4 → 167
Calls
4 calls:
0.0ms
(fma 1/3 (pow x 3) (* 2 x))
40.0ms
(* (/ (fma (pow x 5) 1/60 (fma 1/3 (pow x 3) (* 2 x))) (sqrt 2.0)) (/ (sin y) (sqrt 2.0)))
8.0ms
(/ (sin y) (sqrt 2.0))
9.0ms
(/ (fma (pow x 5) 1/60 (fma 1/3 (pow x 3) (* 2 x))) (sqrt 2.0))

series736.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(fma 1/3 (pow x 3) (* 2 x))
309.0ms
(* (/ (fma (pow x 5) 1/60 (fma 1/3 (pow x 3) (* 2 x))) (sqrt 2.0)) (/ (sin y) (sqrt 2.0)))
118.0ms
(/ (sin y) (sqrt 2.0))
175.0ms
(/ (fma (pow x 5) 1/60 (fma 1/3 (pow x 3) (* 2 x))) (sqrt 2.0))

simplify1.5s

Counts
179 → 179
Iterations
IterNodes
done5000
23444
1607
0232

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (/ (fma (pow x 5) 1/60 (fma 1/3 (pow x 3) (* 2 x))) (sqrt 2.0)) (sqrt (sqrt 2.0))) (/ (sin y) (sqrt (sqrt 2.0))))
0.3b
(/ (sin y) (sqrt (sqrt 2.0)))
0.3b
(/ (/ (fma (pow x 5) 1/60 (fma 1/3 (pow x 3) (* 2 x))) (sqrt 2.0)) (sqrt (sqrt 2.0)))
0.5b
(/ (fma (pow x 5) 1/60 (fma 1/3 (pow x 3) (* 2 x))) (sqrt 2.0))

rewrite359.0ms

Algorithm
rewrite-expression-head
Rules
900×times-frac
729×sqrt-prod
613×add-sqr-sqrt
443×*-un-lft-identity add-cube-cbrt
202×associate-*l*
40×unswap-sqr
34×add-cbrt-cube add-exp-log
31×associate-*r*
28×associate-/l*
24×associate-/r* div-inv
14×cbrt-undiv div-exp
6×pow1 prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×clear-num frac-2neg
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 639
Calls
4 calls:
224.0ms
(* (/ (/ (fma (pow x 5) 1/60 (fma 1/3 (pow x 3) (* 2 x))) (sqrt 2.0)) (sqrt (sqrt 2.0))) (/ (sin y) (sqrt (sqrt 2.0))))
18.0ms
(/ (sin y) (sqrt (sqrt 2.0)))
28.0ms
(/ (/ (fma (pow x 5) 1/60 (fma 1/3 (pow x 3) (* 2 x))) (sqrt 2.0)) (sqrt (sqrt 2.0)))
5.0ms
(/ (fma (pow x 5) 1/60 (fma 1/3 (pow x 3) (* 2 x))) (sqrt 2.0))

series968.0ms

Counts
4 → 12
Calls
4 calls:
269.0ms
(* (/ (/ (fma (pow x 5) 1/60 (fma 1/3 (pow x 3) (* 2 x))) (sqrt 2.0)) (sqrt (sqrt 2.0))) (/ (sin y) (sqrt (sqrt 2.0))))
180.0ms
(/ (sin y) (sqrt (sqrt 2.0)))
327.0ms
(/ (/ (fma (pow x 5) 1/60 (fma 1/3 (pow x 3) (* 2 x))) (sqrt 2.0)) (sqrt (sqrt 2.0)))
192.0ms
(/ (fma (pow x 5) 1/60 (fma 1/3 (pow x 3) (* 2 x))) (sqrt 2.0))

simplify996.0ms

Counts
651 → 651
Iterations
IterNodes
done5001
11655
0568

prune4.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes202.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done18
118
016

end0.0ms

sample12.8s

Algorithm
halfpoints