Details

Time bar (total: 23.5s)

sample453.0ms

Algorithm
halfpoints

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done2148
82148
71410
6468
5192
4123
380
248
130
016

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 44.4b

localize102.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
59.4b
(- (exp x) (exp (- x)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
27×*-un-lft-identity
19×associate-*l* add-cube-cbrt
16×times-frac
9×prod-diff
7×add-cbrt-cube add-exp-log
4×pow1 distribute-lft-out-- add-log-exp difference-of-squares
3×fma-neg associate-*r*
2×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative div-inv flip--
Counts
2 → 70
Calls
2 calls:
62.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
21.0ms
(- (exp x) (exp (- x)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
44.0ms
(- (exp x) (exp (- x)))

simplify1.1s

Counts
76 → 76
Iterations
IterNodes
done2000
32000
2997
1361
0147

prune406.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize121.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (fma (pow x 5) 1/60 (fma x (* (* x x) 1/3) (+ x x))) 2) (sin y))
0.2b
(* (* x x) 1/3)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
14×associate-*l*
12×add-cbrt-cube add-exp-log
11×*-un-lft-identity add-cube-cbrt
10×times-frac
9×pow1
6×associate-*r*
5×prod-exp cbrt-unprod
4×pow-prod-down
3×unswap-sqr
2×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv div-exp associate-*l/ div-inv
Counts
2 → 57
Calls
2 calls:
18.0ms
(* (/ (fma (pow x 5) 1/60 (fma x (* (* x x) 1/3) (+ x x))) 2) (sin y))
22.0ms
(* (* x x) 1/3)

series142.0ms

Counts
2 → 6
Calls
2 calls:
102.0ms
(* (/ (fma (pow x 5) 1/60 (fma x (* (* x x) 1/3) (+ x x))) 2) (sin y))
40.0ms
(* (* x x) 1/3)

simplify1.1s

Counts
63 → 63
Iterations
IterNodes
done2001
32001
21000
1304
0123

prune570.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize144.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (/ (fma (pow x 5) 1/60 (fma x (* (* 1/3 x) x) (+ x x))) 2) (sin y))
0.1b
(* (* 1/3 x) x)
0.3b
(* 1/3 x)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
17×associate-*l*
15×add-cbrt-cube add-exp-log
14×*-un-lft-identity add-cube-cbrt
12×pow1
10×times-frac
9×associate-*r*
6×prod-exp cbrt-unprod
5×pow-prod-down
3×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
1×cbrt-undiv div-exp associate-*l/ div-inv
Counts
3 → 77
Calls
3 calls:
13.0ms
(* (/ (fma (pow x 5) 1/60 (fma x (* (* 1/3 x) x) (+ x x))) 2) (sin y))
19.0ms
(* (* 1/3 x) x)
5.0ms
(* 1/3 x)

series204.0ms

Counts
3 → 9
Calls
3 calls:
134.0ms
(* (/ (fma (pow x 5) 1/60 (fma x (* (* 1/3 x) x) (+ x x))) 2) (sin y))
43.0ms
(* (* 1/3 x) x)
26.0ms
(* 1/3 x)

simplify1.2s

Counts
86 → 86
Iterations
IterNodes
done2001
32001
21016
1326
0137

prune679.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize139.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1 (sqrt 2)) (/ (fma (pow x 5) 1/60 (* x (+ 2 (* (* 1/3 x) x)))) (/ (sqrt 2) (sin y))))
0.3b
(* 1/3 x)
0.5b
(/ (sqrt 2) (sin y))
1.0b
(/ 1 (sqrt 2))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
215×times-frac
186×add-sqr-sqrt
119×*-un-lft-identity
111×add-cube-cbrt
74×associate-*r*
73×sqrt-prod
51×add-exp-log
31×add-cbrt-cube
25×associate-*l*
21×div-exp unswap-sqr
13×prod-exp
11×cbrt-undiv
10×pow1
9×associate-/r* associate-/l*
7×cbrt-unprod div-inv
4×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u add-log-exp
3×pow-flip
2×clear-num frac-2neg pow-prod-down *-commutative
1×frac-times sqrt-pow1 pow1/2 associate-*l/ associate-*r/ associate-/r/ inv-pow
Counts
4 → 257
Calls
4 calls:
26.0ms
(* (/ 1 (sqrt 2)) (/ (fma (pow x 5) 1/60 (* x (+ 2 (* (* 1/3 x) x)))) (/ (sqrt 2) (sin y))))
9.0ms
(* 1/3 x)
10.0ms
(/ (sqrt 2) (sin y))
9.0ms
(/ 1 (sqrt 2))

series370.0ms

Counts
4 → 10
Calls
4 calls:
297.0ms
(* (/ 1 (sqrt 2)) (/ (fma (pow x 5) 1/60 (* x (+ 2 (* (* 1/3 x) x)))) (/ (sqrt 2) (sin y))))
17.0ms
(* 1/3 x)
56.0ms
(/ (sqrt 2) (sin y))
0.0ms
(/ 1 (sqrt 2))

simplify1.3s

Counts
267 → 267
Iterations
IterNodes
done2002
22002
11192
0386

prune1.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes168.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done29
129
024

end0.0ms

sample12.0s

Algorithm
halfpoints