Details

Time bar (total: 12.2s)

sample281.0ms

Algorithm
intervals
Results
96.0ms284×body80nan
39.0ms256×body80valid

simplify85.0ms

Counts
1 → 1
Iterations
IterNodes
done23
323
221
118
09

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b
(atan (sqrt (/ (- 1 x) (+ 1 x))))
0.0b
(sqrt (/ (- 1 x) (+ 1 x)))
0.0b
(/ (- 1 x) (+ 1 x))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
79×*-un-lft-identity
56×add-sqr-sqrt
49×times-frac
30×sqrt-prod
26×add-cube-cbrt
18×difference-of-squares
13×distribute-lft-out
9×distribute-lft-out--
6×associate-/l*
5×add-cbrt-cube add-exp-log
4×pow1 associate-/r* associate-/r/
3×insert-posit16 add-log-exp
2×rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
1×cbrt-undiv clear-num frac-2neg sqrt-pow1 flip3-- pow1/2 sqrt-div div-sub div-exp flip--
Counts
3 → 103
Calls
3 calls:
1.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))
19.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
33.0ms
(/ (- 1 x) (+ 1 x))

series154.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))
76.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
70.0ms
(/ (- 1 x) (+ 1 x))

simplify1.0s

Counts
112 → 112
Iterations
IterNodes
done2000
32000
2768
1341
0168

prune819.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
0.0b
(/ x (+ 1 x))
0.0b
(/ 1 (+ 1 x))
0.0b
(- (/ 1 (+ 1 x)) (/ x (+ 1 x)))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
109×*-un-lft-identity
66×times-frac
62×add-sqr-sqrt
27×add-cube-cbrt
23×sqrt-prod
18×distribute-lft-out
16×distribute-lft-out--
14×div-inv
12×distribute-rgt-out-- associate-/r/ difference-of-squares
10×add-exp-log
8×associate-/r* add-cbrt-cube
6×pow1 flip3-+ flip-+ associate-/l* add-log-exp
4×sqrt-div insert-posit16
3×div-exp
2×cbrt-undiv clear-num frac-2neg flip3-- frac-sub flip-- sub-div
1×rem-sqrt-square rec-exp sub-neg sqrt-pow1 pow1/2 diff-log 1-exp pow-flip inv-pow
Counts
4 → 145
Calls
4 calls:
65.0ms
(sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
9.0ms
(/ x (+ 1 x))
8.0ms
(/ 1 (+ 1 x))
61.0ms
(- (/ 1 (+ 1 x)) (/ x (+ 1 x)))

series202.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))
23.0ms
(/ x (+ 1 x))
21.0ms
(/ 1 (+ 1 x))
64.0ms
(- (/ 1 (+ 1 x)) (/ x (+ 1 x)))

simplify1.3s

Counts
157 → 157
Iterations
IterNodes
done2014
32014
21135
1432
0210

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 1 x) (+ 1 x))
0.0b
(* (+ 1 x) (+ 1 x))
0.0b
(+ (/ (/ x (+ 1 x)) (+ 1 x)) (+ (/ 1 (* (+ 1 x) (+ 1 x))) (* (/ x (+ 1 x)) (/ x (+ 1 x)))))
0.1b
(* (* (/ x (+ 1 x)) (/ x (+ 1 x))) (/ x (+ 1 x)))

rewrite303.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
49×add-cbrt-cube add-exp-log
37×pow1
27×add-sqr-sqrt
26×associate-*r*
20×prod-exp add-cube-cbrt cbrt-unprod
16×distribute-lft-out
15×flip3-+ flip-+
14×frac-times
13×cbrt-undiv times-frac div-exp
12×swap-sqr
10×associate-*l/
9×associate-*l* add-log-exp
8×pow-plus frac-add associate-*r/ pow-prod-up
5×pow-prod-down
4×pow2 pow-sqr insert-posit16 unswap-sqr
3×sum-log *-commutative
2×distribute-rgt-in distribute-lft-in associate-/r/
1×+-commutative associate-+r+ pow3 div-inv
Counts
4 → 170
Calls
4 calls:
33.0ms
(* (+ 1 x) (+ 1 x))
21.0ms
(* (+ 1 x) (+ 1 x))
157.0ms
(+ (/ (/ x (+ 1 x)) (+ 1 x)) (+ (/ 1 (* (+ 1 x) (+ 1 x))) (* (/ x (+ 1 x)) (/ x (+ 1 x)))))
87.0ms
(* (* (/ x (+ 1 x)) (/ x (+ 1 x))) (/ x (+ 1 x)))

series174.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (+ 1 x) (+ 1 x))
20.0ms
(* (+ 1 x) (+ 1 x))
82.0ms
(+ (/ (/ x (+ 1 x)) (+ 1 x)) (+ (/ 1 (* (+ 1 x) (+ 1 x))) (* (/ x (+ 1 x)) (/ x (+ 1 x)))))
52.0ms
(* (* (/ x (+ 1 x)) (/ x (+ 1 x))) (/ x (+ 1 x)))

simplify1.3s

Counts
182 → 182
Iterations
IterNodes
done2007
22007
1844
0233

prune2.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done27
127
019

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.2s8057×body80nan
818.0ms8000×body80valid