Details

Time bar (total: 29.1s)

sample555.0ms

Algorithm
halfpoints

simplify1.4s

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 43.9b

localize74.0ms

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))
58.7b
(- (exp x) (exp (- x)))

rewrite123.0ms

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 insert-posit16 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 → 126
Calls
4 calls:
19.0ms
(+ (exp x) (exp (- x)))
50.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
38.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
12.0ms
(- (exp x) (exp (- x)))

series296.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ (exp x) (exp (- x)))
80.0ms
(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
112.0ms
(* (/ (- (exp x) (exp (- x))) 2) (sin y))
65.0ms
(- (exp x) (exp (- x)))

simplify1.8s

Counts
138 → 138
Iterations
IterNodes
done2000
32000
21872
1582
0232

prune823.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize104.0ms

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

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1
23×add-cbrt-cube add-exp-log
20×add-sqr-sqrt
15×associate-*l*
14×*-un-lft-identity add-cube-cbrt
11×prod-exp cbrt-unprod
10×times-frac pow-prod-down
9×associate-*r*
6×pow-plus pow-prod-up
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative unswap-sqr
2×pow2 pow-sqr
1×cbrt-undiv div-exp pow3 associate-*l/ fma-udef div-inv
Counts
4 → 101
Calls
4 calls:
0.0ms
(fma (pow x 5) 1/60 (* (* (* x x) x) 1/3))
22.0ms
(* (* x x) x)
64.0ms
(* (* (* x x) x) 1/3)
19.0ms
(* (/ (fma x 2 (fma (pow x 5) 1/60 (* (* (* x x) x) 1/3))) 2) (sin y))

series420.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(fma (pow x 5) 1/60 (* (* (* x x) x) 1/3))
55.0ms
(* (* x x) x)
58.0ms
(* (* (* x x) x) 1/3)
115.0ms
(* (/ (fma x 2 (fma (pow x 5) 1/60 (* (* (* x x) x) 1/3))) 2) (sin y))

simplify1.5s

Counts
113 → 113
Iterations
IterNodes
done2001
32001
21013
1353
0158

prune928.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize150.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
20.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series652.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
155.0ms
(cbrt (sin y))
155.0ms
(cbrt (sin y))
151.0ms
(cbrt (sin y))

simplify1.5s

Counts
97 → 97
Iterations
IterNodes
done2006
42006
31352
2474
1182
081

prune1.1s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize217.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma x 2 (fma (pow x 5) 1/60 (* (* (* x x) x) 1/3)))) (cbrt (fma x 2 (fma (pow x 5) 1/60 (* (* (* x x) x) 1/3)))))
0.7b
(cbrt (fma x 2 (fma (pow x 5) 1/60 (* (* (* x x) x) 1/3))))
0.7b
(cbrt (fma x 2 (fma (pow x 5) 1/60 (* (* (* x x) x) 1/3))))
0.7b
(cbrt (fma x 2 (fma (pow x 5) 1/60 (* (* (* x x) x) 1/3))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
16.0ms
(* (cbrt (fma x 2 (fma (pow x 5) 1/60 (* (* (* x x) x) 1/3)))) (cbrt (fma x 2 (fma (pow x 5) 1/60 (* (* (* x x) x) 1/3)))))
1.0ms
(cbrt (fma x 2 (fma (pow x 5) 1/60 (* (* (* x x) x) 1/3))))
1.0ms
(cbrt (fma x 2 (fma (pow x 5) 1/60 (* (* (* x x) x) 1/3))))
1.0ms
(cbrt (fma x 2 (fma (pow x 5) 1/60 (* (* (* x x) x) 1/3))))

series948.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(* (cbrt (fma x 2 (fma (pow x 5) 1/60 (* (* (* x x) x) 1/3)))) (cbrt (fma x 2 (fma (pow x 5) 1/60 (* (* (* x x) x) 1/3)))))
208.0ms
(cbrt (fma x 2 (fma (pow x 5) 1/60 (* (* (* x x) x) 1/3))))
259.0ms
(cbrt (fma x 2 (fma (pow x 5) 1/60 (* (* (* x x) x) 1/3))))
254.0ms
(cbrt (fma x 2 (fma (pow x 5) 1/60 (* (* (* x x) x) 1/3))))

simplify1.3s

Counts
97 → 97
Iterations
IterNodes
done2002
32002
2783
1320
0142

prune1.2s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes370.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done29
129
024

end0.0ms

sample13.4s

Algorithm
halfpoints