Details

Time bar (total: 1.0m)

sample525.0ms

Algorithm
halfpoints

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
82293
71238
6470
5194
4122
378
246
130
016

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 43.1b

localize136.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.1b
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
57.6b
(- (exp x) (exp (- x)))

rewrite184.0ms

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:
17.0ms
(+ (exp x) (exp (- x)))
66.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
74.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
23.0ms
(- (exp x) (exp (- x)))

series338.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ (exp x) (exp (- x)))
77.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
143.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
72.0ms
(- (exp x) (exp (- x)))

simplify5.6s

Counts
134 → 134
Iterations
IterNodes
35549
21733
1572
0228

prune1.9s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize171.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.1b
(* x (* x 1/3))
0.1b
(* (/ (fma (pow x 5) 1/60 (* x (+ (* x (* x 1/3)) 2))) 2) (sin y))
0.4b
(* x 1/3)

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
35×associate-*l*
30×*-un-lft-identity
24×add-cube-cbrt
23×times-frac
21×add-cbrt-cube add-exp-log
15×pow1
10×associate-*r*
8×prod-exp cbrt-unprod
6×pow-prod-down
5×unswap-sqr
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
3×distribute-lft-out
2×cbrt-undiv div-exp associate-*l/ div-inv
Counts
4 → 111
Calls
4 calls:
70.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
21.0ms
(* x (* x 1/3))
11.0ms
(* (/ (fma (pow x 5) 1/60 (* x (+ (* x (* x 1/3)) 2))) 2) (sin y))
5.0ms
(* x 1/3)

series259.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
37.0ms
(* x (* x 1/3))
125.0ms
(* (/ (fma (pow x 5) 1/60 (* x (+ (* x (* x 1/3)) 2))) 2) (sin y))
28.0ms
(* x 1/3)

simplify4.7s

Counts
123 → 123
Iterations
IterNodes
35622
21611
1497
0210

prune2.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize109.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (fma (fma 1/3 (* x x) 2) x (* 1/60 (pow x 5))) (sin y))
0.3b
(/ (* (fma (fma 1/3 (* x x) 2) x (* 1/60 (pow x 5))) (sin y)) (sqrt 2))
0.3b
(* (/ 1 (sqrt 2)) (/ (* (fma (fma 1/3 (* x x) 2) x (* 1/60 (pow x 5))) (sin y)) (sqrt 2)))
1.0b
(/ 1 (sqrt 2))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
54×add-exp-log
52×times-frac
43×*-un-lft-identity
41×add-cube-cbrt
34×add-cbrt-cube
32×sqrt-prod
25×associate-*l*
18×div-exp prod-exp
13×associate-*r*
12×associate-/r*
10×pow1 cbrt-undiv cbrt-unprod
6×unswap-sqr
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u div-inv associate-/l* 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/ inv-pow
Counts
4 → 165
Calls
4 calls:
7.0ms
(* (fma (fma 1/3 (* x x) 2) x (* 1/60 (pow x 5))) (sin y))
11.0ms
(/ (* (fma (fma 1/3 (* x x) 2) x (* 1/60 (pow x 5))) (sin y)) (sqrt 2))
36.0ms
(* (/ 1 (sqrt 2)) (/ (* (fma (fma 1/3 (* x x) 2) x (* 1/60 (pow x 5))) (sin y)) (sqrt 2)))
9.0ms
(/ 1 (sqrt 2))

series628.0ms

Counts
4 → 10
Calls
4 calls:
103.0ms
(* (fma (fma 1/3 (* x x) 2) x (* 1/60 (pow x 5))) (sin y))
224.0ms
(/ (* (fma (fma 1/3 (* x x) 2) x (* 1/60 (pow x 5))) (sin y)) (sqrt 2))
300.0ms
(* (/ 1 (sqrt 2)) (/ (* (fma (fma 1/3 (* x x) 2) x (* 1/60 (pow x 5))) (sin y)) (sqrt 2)))
0.0ms
(/ 1 (sqrt 2))

simplify964.0ms

Counts
175 → 175
Iterations
IterNodes
22054
1627
0241

prune4.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize137.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
1164×sqrt-prod
1149×times-frac
659×add-sqr-sqrt
593×*-un-lft-identity
584×add-cube-cbrt
283×associate-*l*
82×add-exp-log
52×add-cbrt-cube
38×div-exp
35×associate-/l*
25×div-inv
24×associate-/r*
23×unswap-sqr
21×cbrt-undiv prod-exp
20×pow1 sqrt-pow1
14×pow-flip
13×cbrt-unprod
10×pow1/2 associate-*r* pow-div
5×rec-exp 1-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×clear-num frac-2neg
2×inv-pow
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 792
Calls
4 calls:
12.0ms
(/ (* (fma (fma 1/3 (* x x) 2) x (* 1/60 (pow x 5))) (sin y)) (sqrt 2))
52.0ms
(* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) (/ (* (fma (fma 1/3 (* x x) 2) x (* 1/60 (pow x 5))) (sin y)) (sqrt 2)))
6.0ms
(/ 1 (sqrt (sqrt 2)))
11.0ms
(/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))

series514.0ms

Counts
4 → 8
Calls
4 calls:
215.0ms
(/ (* (fma (fma 1/3 (* x x) 2) x (* 1/60 (pow x 5))) (sin y)) (sqrt 2))
299.0ms
(* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) (/ (* (fma (fma 1/3 (* x x) 2) x (* 1/60 (pow x 5))) (sin y)) (sqrt 2)))
0.0ms
(/ 1 (sqrt (sqrt 2)))
0.0ms
(/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))

simplify5.3s

Counts
800 → 800
Iterations
IterNodes
25151
11757
0612

prune19.7s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes249.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
231
131
024

end0.0ms

sample12.3s

Algorithm
halfpoints