Details

Time bar (total: 15.0s)

sample104.0ms

Algorithm
intervals
Results
29.0ms391×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
82218
7715
6284
5149
4102
378
237
115
08

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
0.0b
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.2b
(* 0.12900613773279798 (* x x))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-cbrt-cube add-exp-log
9×add-sqr-sqrt
6×*-un-lft-identity associate-*l* add-cube-cbrt
5×add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×sub-neg insert-posit16
2×distribute-rgt-in distribute-lft-in flip3-- associate-*r/ *-commutative flip-- unswap-sqr
1×diff-log
Counts
3 → 58
Calls
3 calls:
5.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
12.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
28.0ms
(* 0.12900613773279798 (* x x))

series258.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
144.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
42.0ms
(* 0.12900613773279798 (* x x))

simplify1.5s

Counts
67 → 67
Iterations
IterNodes
33093
2666
1222
088

prune421.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
0.0b
(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
0.1b
(* (* 0.12900613773279798 x) x)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×*-un-lft-identity associate-*r* add-cube-cbrt
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
3×sub-neg insert-posit16
2×distribute-rgt-in distribute-lft-in flip3-- associate-*r/ *-commutative flip--
1×diff-log unswap-sqr
Counts
3 → 57
Calls
3 calls:
8.0ms
(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
26.0ms
(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
27.0ms
(* (* 0.12900613773279798 x) x)

series308.0ms

Counts
3 → 9
Calls
3 calls:
104.0ms
(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
157.0ms
(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
47.0ms
(* (* 0.12900613773279798 x) x)

simplify1.2s

Counts
66 → 66
Iterations
IterNodes
32693
2663
1207
087

prune528.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 0.12900613773279798 x) x)
0.2b
(* (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (* (* 0.12900613773279798 x) x)))
22.1b
(sqrt (* (* 0.12900613773279798 x) x))
22.1b
(sqrt (* (* 0.12900613773279798 x) x))

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-sqr-sqrt add-cbrt-cube add-exp-log pow-sqr
9×*-un-lft-identity add-cube-cbrt
7×associate-*r*
6×sqrt-prod
5×associate-*l*
4×swap-sqr prod-exp cbrt-unprod insert-posit16 add-log-exp
2×*-commutative
1×pow2 rem-square-sqrt pow-plus sqrt-unprod unswap-sqr
Counts
4 → 112
Calls
4 calls:
27.0ms
(* (* 0.12900613773279798 x) x)
134.0ms
(* (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (* (* 0.12900613773279798 x) x)))
19.0ms
(sqrt (* (* 0.12900613773279798 x) x))
24.0ms
(sqrt (* (* 0.12900613773279798 x) x))

series276.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (* 0.12900613773279798 x) x)
114.0ms
(* (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (* (* 0.12900613773279798 x) x)))
65.0ms
(sqrt (* (* 0.12900613773279798 x) x))
53.0ms
(sqrt (* (* 0.12900613773279798 x) x))

simplify1.4s

Counts
124 → 124
Iterations
IterNodes
32475
2632
1198
084

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))
0.0b
(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
0.2b
(* (sqrt 0.12900613773279798) (* x x))
0.2b
(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-cbrt-cube add-exp-log
15×associate-*l*
14×add-sqr-sqrt
10×*-un-lft-identity pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
7×sqrt-prod
6×add-log-exp
5×associate-*r*
4×insert-posit16
3×sub-neg *-commutative unswap-sqr
2×distribute-rgt-in distribute-lft-in flip3-- associate-*r/ flip--
1×diff-log
Counts
4 → 87
Calls
4 calls:
6.0ms
(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))
25.0ms
(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
34.0ms
(* (sqrt 0.12900613773279798) (* x x))
80.0ms
(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

series630.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))
246.0ms
(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
89.0ms
(* (sqrt 0.12900613773279798) (* x x))
111.0ms
(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))

simplify2.6s

Counts
99 → 99
Iterations
IterNodes
34378
2863
1267
0112

prune859.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes88.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
210
110
07

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.3s12085×body80valid