Details

Time bar (total: 34.5s)

sample452.0ms

Algorithm
halfpoints

simplify1.1s

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 41.7b

localize66.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b
(+ (exp x) (exp (- x)))
0.2b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
58.3b
(- (exp x) (exp (- x)))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
47×*-un-lft-identity
35×associate-*l*
31×add-cube-cbrt
29×times-frac
14×add-cbrt-cube add-exp-log
9×prod-diff
8×pow1 add-log-exp
6×associate-*r*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
3×fma-def fma-neg
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative sum-log sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
4 → 122
Calls
4 calls:
41.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
11.0ms
(+ (exp x) (exp (- x)))
42.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
13.0ms
(- (exp x) (exp (- x)))

series256.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
25.0ms
(+ (exp x) (exp (- x)))
91.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
41.0ms
(- (exp x) (exp (- x)))

simplify1.8s

Counts
134 → 134
Iterations
IterNodes
done5000
22815
1582
0231

prune819.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize118.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (pow x 5) 1/60 (* x (* (* x x) 1/3)))
0.1b
(* x (* (* x x) 1/3))
0.1b
(* (/ (fma 2 x (fma (pow x 5) 1/60 (* x (* (* x x) 1/3)))) 2.0) (sin y))
0.2b
(* (* x x) 1/3)

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube add-exp-log
20×add-sqr-sqrt pow1
17×associate-*l*
14×*-un-lft-identity add-cube-cbrt
11×prod-exp cbrt-unprod
10×times-frac pow-prod-down
7×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative unswap-sqr
1×cbrt-undiv div-exp associate-*l/ fma-udef div-inv
Counts
4 → 88
Calls
4 calls:
0.0ms
(fma (pow x 5) 1/60 (* x (* (* x x) 1/3)))
38.0ms
(* x (* (* x x) 1/3))
21.0ms
(* (/ (fma 2 x (fma (pow x 5) 1/60 (* x (* (* x x) 1/3)))) 2.0) (sin y))
19.0ms
(* (* x x) 1/3)

series368.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(fma (pow x 5) 1/60 (* x (* (* x x) 1/3)))
59.0ms
(* x (* (* x x) 1/3))
100.0ms
(* (/ (fma 2 x (fma (pow x 5) 1/60 (* x (* (* x x) 1/3)))) 2.0) (sin y))
37.0ms
(* (* x x) 1/3)

simplify1.9s

Counts
100 → 100
Iterations
IterNodes
done5002
22252
1382
0157

prune948.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize137.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (fma 2 x (fma (pow x 5) 1/60 (* x (* (* x x) 1/3)))) (sqrt 2.0)) (sin y))
0.3b
(* (/ 1 (sqrt 2.0)) (* (/ (fma 2 x (fma (pow x 5) 1/60 (* x (* (* x x) 1/3)))) (sqrt 2.0)) (sin y)))
0.4b
(/ (fma 2 x (fma (pow x 5) 1/60 (* x (* (* x x) 1/3)))) (sqrt 2.0))
1.0b
(/ 1 (sqrt 2.0))

rewrite106.0ms

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/ 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 → 188
Calls
4 calls:
29.0ms
(* (/ (fma 2 x (fma (pow x 5) 1/60 (* x (* (* x x) 1/3)))) (sqrt 2.0)) (sin y))
61.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 2 x (fma (pow x 5) 1/60 (* x (* (* x x) 1/3)))) (sqrt 2.0)) (sin y)))
5.0ms
(/ (fma 2 x (fma (pow x 5) 1/60 (* x (* (* x x) 1/3)))) (sqrt 2.0))
5.0ms
(/ 1 (sqrt 2.0))

series660.0ms

Counts
4 → 10
Calls
4 calls:
225.0ms
(* (/ (fma 2 x (fma (pow x 5) 1/60 (* x (* (* x x) 1/3)))) (sqrt 2.0)) (sin y))
270.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (fma 2 x (fma (pow x 5) 1/60 (* x (* (* x x) 1/3)))) (sqrt 2.0)) (sin y)))
165.0ms
(/ (fma 2 x (fma (pow x 5) 1/60 (* x (* (* x x) 1/3)))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify2.9s

Counts
198 → 198
Iterations
IterNodes
done5001
23881
1666
0254

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize149.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (/ (fma 2 x (fma (pow x 5) 1/60 (* x (* (* x x) 1/3)))) (sqrt 2.0)) (sin y)))
0.4b
(/ (fma 2 x (fma (pow x 5) 1/60 (* x (* (* x x) 1/3)))) (sqrt 2.0))
1.0b
(/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
1.0b
(/ 1 (sqrt (sqrt 2.0)))

rewrite343.0ms

Algorithm
rewrite-expression-head
Rules
1128×sqrt-prod
1116×times-frac
592×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
283×associate-*l*
79×add-exp-log
49×add-cbrt-cube
37×associate-/l*
32×div-exp
25×prod-exp
24×associate-/r*
23×pow1 div-inv
20×sqrt-pow1
17×cbrt-undiv
15×cbrt-unprod
14×pow-flip
10×pow1/2 pow-div
5×rec-exp 1-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×clear-num frac-2neg pow-prod-down associate-*l/
2×inv-pow
1×frac-times associate-*r* associate-*r/ *-commutative associate-/l/
Counts
4 → 773
Calls
4 calls:
179.0ms
(* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (/ (fma 2 x (fma (pow x 5) 1/60 (* x (* (* x x) 1/3)))) (sqrt 2.0)) (sin y)))
10.0ms
(/ (fma 2 x (fma (pow x 5) 1/60 (* x (* (* x x) 1/3)))) (sqrt 2.0))
42.0ms
(/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
15.0ms
(/ 1 (sqrt (sqrt 2.0)))

series971.0ms

Counts
4 → 8
Calls
4 calls:
753.0ms
(* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (/ (fma 2 x (fma (pow x 5) 1/60 (* x (* (* x x) 1/3)))) (sqrt 2.0)) (sin y)))
218.0ms
(/ (fma 2 x (fma (pow x 5) 1/60 (* x (* (* x x) 1/3)))) (sqrt 2.0))
0.0ms
(/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
0.0ms
(/ 1 (sqrt (sqrt 2.0)))

simplify2.5s

Counts
781 → 781
Iterations
IterNodes
done5000
11817
0614

prune4.9s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes183.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done30
130
025

end0.0ms

sample12.0s

Algorithm
halfpoints