Details

Time bar (total: 11.1s)

sample178.0ms

Algorithm
intervals
Results
37.0ms256×body80valid
29.0ms284×body80nan

simplify61.0ms

Counts
1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize62.0ms

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))))

rewrite37.0ms

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:
Slowest
23.0ms
(/ (- 1 x) (+ 1 x))
10.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
1.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

series136.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
76.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
53.0ms
(/ (- 1 x) (+ 1 x))
6.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify2.2s

Counts
112 → 112

prune922.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize33.0ms

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))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt
79×*-un-lft-identity
61×times-frac
50×difference-of-squares
36×associate-*l*
30×add-cube-cbrt
12×distribute-lft-out--
11×add-cbrt-cube add-exp-log
9×pow1
7×flip3-- flip--
6×associate-*r* associate-/l*
5×associate-/r* sqrt-div
4×frac-times associate-*r/ associate-/r/ insert-posit16 add-log-exp
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in 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 → 151
Calls
4 calls:
Slowest
53.0ms
(* (/ (- 1 x) (- 1 (* x x))) (- 1 x))
21.0ms
(/ (- 1 x) (- 1 (* x x)))
11.0ms
(sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))
1.0ms
(atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x))))

series192.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
91.0ms
(sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))
55.0ms
(* (/ (- 1 x) (- 1 (* x x))) (- 1 x))
40.0ms
(/ (- 1 x) (- 1 (* x x)))
5.0ms
(atan (sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x))))

simplify789.0ms

Counts
163 → 163

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

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)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
35×*-un-lft-identity
32×times-frac
24×associate-*l* add-cube-cbrt sqrt-prod
16×difference-of-squares
9×add-exp-log
7×add-cbrt-cube
6×pow1 associate-*r*
5×associate-/r*
4×flip3-- associate-/r/ flip-- unswap-sqr
3×sqrt-div insert-posit16 associate-/l* add-log-exp
2×distribute-rgt-in frac-times sub-neg distribute-lft-in 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 → 105
Calls
3 calls:
Slowest
56.0ms
(* (sqrt (/ 1 (- 1 (* x x)))) (- 1 x))
8.0ms
(/ 1 (- 1 (* x x)))
2.0ms
(atan (* (sqrt (/ 1 (- 1 (* x x)))) (- 1 x)))

series141.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
79.0ms
(* (sqrt (/ 1 (- 1 (* x x)))) (- 1 x))
56.0ms
(/ 1 (- 1 (* x x)))
5.0ms
(atan (* (sqrt (/ 1 (- 1 (* x x)))) (- 1 x)))

simplify909.0ms

Counts
114 → 114

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.3s8133×body80nan
930.0ms8000×body80valid