Details

Time bar (total: 10.6s)

sample753.0ms

Algorithm
intervals
Results
45.0ms256×body80valid
33.0ms284×body80nan

simplify38.0ms

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 109
Calls
3 calls:
Slowest
34.0ms
(/ (- 1 x) (+ 1 x))
20.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
1.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

series120.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
66.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
48.0ms
(/ (- 1 x) (+ 1 x))
6.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify723.0ms

Counts
118 → 118

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
96×add-sqr-sqrt
91×*-un-lft-identity
61×times-frac
50×difference-of-squares
42×add-cube-cbrt
36×associate-*l*
18×prod-diff
12×distribute-lft-out--
11×distribute-rgt-in distribute-lft-in add-cbrt-cube add-exp-log
9×pow1
7×flip3-- flip--
6×associate-*r* associate-/l*
5×associate-/r* sqrt-div
4×expm1-log1p-u frac-times associate-*r/ associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv sub-neg sqrt-pow1 div-exp pow-prod-down associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×clear-num frac-2neg pow1/2 div-sub *-commutative sqrt-prod
Counts
4 → 177
Calls
4 calls:
Slowest
58.0ms
(* (/ (- 1 x) (- 1 (* x x))) (- 1 x))
22.0ms
(sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))
17.0ms
(/ (- 1 x) (- 1 (* x x)))
1.0ms
(atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x))))

series160.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
72.0ms
(sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))
51.0ms
(* (/ (- 1 x) (- 1 (* x x))) (- 1 x))
34.0ms
(/ (- 1 x) (- 1 (* x x)))
3.0ms
(atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x))))

simplify860.0ms

Counts
189 → 189

prune1.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
47×*-un-lft-identity
36×add-cube-cbrt
32×times-frac
24×associate-*l* sqrt-prod
18×prod-diff
16×difference-of-squares
11×distribute-rgt-in distribute-lft-in
9×add-exp-log
7×add-cbrt-cube
6×pow1 associate-*r*
5×associate-/r*
4×flip3-- associate-/r/ flip-- unswap-sqr
3×expm1-log1p-u sqrt-div insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×frac-times sub-neg div-exp associate-*r/ div-inv
1×cbrt-undiv rec-exp clear-num frac-2neg 1-exp pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod pow-flip distribute-lft-out-- inv-pow
Counts
3 → 129
Calls
3 calls:
Slowest
32.0ms
(* (sqrt (/ 1 (- 1 (* x x)))) (- 1 x))
8.0ms
(/ 1 (- 1 (* x x)))
1.0ms
(atan (* (sqrt (/ 1 (- 1 (* x x)))) (- 1 x)))

series138.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
82.0ms
(* (sqrt (/ 1 (- 1 (* x x)))) (- 1 x))
53.0ms
(/ 1 (- 1 (* x x)))
3.0ms
(atan (* (sqrt (/ 1 (- 1 (* x x)))) (- 1 x)))

simplify1.1s

Counts
138 → 138

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.0s8000×body80valid
841.0ms8133×body80nan