Details

Time bar (total: 34.5s)

sample542.0ms

Algorithm
halfpoints

simplify4.4s

Counts
1 → 1
Iterations
IterNodes
done5000
94994
82879
71410
6468
5192
4123
380
248
130
016

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.7b

localize76.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.1b
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
58.4b
(- (exp x) (exp (- x)))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
31×*-un-lft-identity
21×add-cube-cbrt
19×associate-*l*
16×times-frac
9×prod-diff
8×add-cbrt-cube add-exp-log
7×add-log-exp
5×pow1
4×distribute-lft-out-- difference-of-squares
3×expm1-log1p-u fma-def fma-neg associate-*r* insert-posit16 log1p-expm1-u
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative sum-log sub-neg flip3-+ flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-+ div-inv flip-- distribute-lft-out
Counts
3 → 88
Calls
3 calls:
13.0ms
(+ (exp x) (exp (- x)))
55.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
24.0ms
(- (exp x) (exp (- x)))

series170.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (exp x) (exp (- x)))
93.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
40.0ms
(- (exp x) (exp (- x)))

simplify2.8s

Counts
97 → 97
Iterations
IterNodes
done5000
34356
21255
1417
0169

prune610.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize120.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×associate-*l*
18×*-un-lft-identity
16×add-cube-cbrt
14×add-exp-log
11×add-cbrt-cube
10×times-frac
6×pow1 associate-*r* add-log-exp
5×prod-exp unswap-sqr
4×expm1-log1p-u unpow-prod-down insert-posit16 log1p-expm1-u
3×fma-def cbrt-unprod
2×*-commutative sqr-pow
1×pow-to-exp cbrt-undiv +-commutative sum-log flip3-+ div-exp pow-prod-down associate-*l/ pow-exp flip-+ fma-udef div-inv distribute-lft-out
Counts
4 → 92
Calls
4 calls:
16.0ms
(+ (exp x) (exp (- x)))
0.0ms
(fma 1/3 (* x x) 2)
11.0ms
(* (pow x 5) 1/60)
24.0ms
(* (/ (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) 2) (sin y))

series281.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (exp x) (exp (- x)))
71.0ms
(fma 1/3 (* x x) 2)
63.0ms
(* (pow x 5) 1/60)
120.0ms
(* (/ (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) 2) (sin y))

simplify2.4s

Counts
104 → 104
Iterations
IterNodes
done5000
34573
21281
1421
0183

prune814.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize132.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) (sqrt 2)) (sin y))
0.4b
(* (/ 1 (sqrt 2)) (* (/ (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) (sqrt 2)) (sin y)))
0.4b
(/ (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) (sqrt 2))
1.0b
(/ 1 (sqrt 2))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
74×times-frac
69×add-sqr-sqrt
61×*-un-lft-identity add-cube-cbrt
54×add-exp-log
44×associate-*l*
43×sqrt-prod
34×add-cbrt-cube
22×prod-exp
14×div-exp
13×pow1
12×associate-/r* cbrt-unprod
8×cbrt-undiv
6×associate-/l*
4×expm1-log1p-u rec-exp 1-exp associate-*r* pow-prod-down associate-*l/ insert-posit16 log1p-expm1-u div-inv add-log-exp
3×pow-flip unswap-sqr
2×clear-num frac-2neg *-commutative
1×frac-times sqrt-pow1 pow1/2 associate-*r/ inv-pow
Counts
4 → 192
Calls
4 calls:
33.0ms
(* (/ (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) (sqrt 2)) (sin y))
84.0ms
(* (/ 1 (sqrt 2)) (* (/ (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) (sqrt 2)) (sin y)))
10.0ms
(/ (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) (sqrt 2))
10.0ms
(/ 1 (sqrt 2))

series611.0ms

Counts
4 → 10
Calls
4 calls:
203.0ms
(* (/ (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) (sqrt 2)) (sin y))
254.0ms
(* (/ 1 (sqrt 2)) (* (/ (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) (sqrt 2)) (sin y)))
154.0ms
(/ (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) (sqrt 2))
0.0ms
(/ 1 (sqrt 2))

simplify2.1s

Counts
202 → 202
Iterations
IterNodes
done5000
21904
1646
0256

prune1.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize149.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) (sqrt 2)) (sin y))
0.4b
(* (cbrt (/ 1/2 (sqrt 2))) (* (/ (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) (sqrt 2)) (sin y)))
0.4b
(/ (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) (sqrt 2))
1.0b
(/ 1/2 (sqrt 2))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
74×times-frac
70×add-sqr-sqrt
62×*-un-lft-identity add-cube-cbrt
47×associate-*l*
43×sqrt-prod
22×cbrt-prod add-exp-log
19×add-cbrt-cube
12×associate-/r*
11×pow1
7×prod-exp cbrt-unprod
6×associate-/l*
4×expm1-log1p-u cbrt-undiv div-exp associate-*r* pow-prod-down associate-*l/ insert-posit16 log1p-expm1-u div-inv add-log-exp
3×unswap-sqr
2×cbrt-div clear-num frac-2neg *-commutative
1×frac-times associate-*r/
Counts
4 → 177
Calls
4 calls:
40.0ms
(* (/ (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) (sqrt 2)) (sin y))
97.0ms
(* (cbrt (/ 1/2 (sqrt 2))) (* (/ (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) (sqrt 2)) (sin y)))
11.0ms
(/ (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) (sqrt 2))
10.0ms
(/ 1/2 (sqrt 2))

series1.2s

Counts
4 → 10
Calls
4 calls:
231.0ms
(* (/ (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) (sqrt 2)) (sin y))
803.0ms
(* (cbrt (/ 1/2 (sqrt 2))) (* (/ (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) (sqrt 2)) (sin y)))
141.0ms
(/ (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) (sqrt 2))
0.0ms
(/ 1/2 (sqrt 2))

simplify2.2s

Counts
187 → 187
Iterations
IterNodes
done5000
22057
1632
0273

prune1.6s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes189.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done27
127
023

end0.0ms

sample12.1s

Algorithm
halfpoints