Details

Time bar (total: 23.5s)

sample114.0ms

Algorithm
intervals
Results
21.0ms256×body80valid
15.0ms247×body80nan

simplify21.0ms

Counts
1 → 1
Iterations
IterNodes
421
321
219
116
09

prune38.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
55×add-sqr-sqrt
49×times-frac
30×sqrt-prod
25×add-cube-cbrt
18×difference-of-squares
13×distribute-lft-out
9×distribute-lft-out--
6×associate-/l*
4×associate-/r* add-cbrt-cube add-exp-log associate-/r/
3×pow1
2×expm1-log1p-u rem-sqrt-square flip3-+ flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg sqrt-pow1 flip3-- pow1/2 sqrt-div div-sub div-exp flip--
Counts
2 → 99
Calls
2 calls:
10.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
18.0ms
(/ (- 1 x) (+ 1 x))

series86.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
41.0ms
(/ (- 1 x) (+ 1 x))

simplify14.9s

Counts
105 → 105
Iterations
IterNodes
45876
31949
2688
1325
0159

prune978.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
87×add-sqr-sqrt
69×*-un-lft-identity
57×times-frac sqrt-prod
39×add-cube-cbrt
25×associate-*l*
20×difference-of-squares
10×pow1 distribute-lft-out--
8×add-cbrt-cube add-exp-log
6×associate-*r* associate-/l* unswap-sqr
4×expm1-log1p-u sqrt-pow1 pow1/2 insert-posit16 log1p-expm1-u add-log-exp
3×rem-sqrt-square associate-/r* pow-prod-down div-inv
2×sqrt-div associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-- sqrt-unprod div-sub div-exp associate-*l/ prod-exp *-commutative cbrt-unprod flip--
Counts
4 → 153
Calls
4 calls:
1.0ms
(sqrt (fma x x (- 1 x)))
25.0ms
(/ (- 1 x) (fma x (* x x) 1))
22.0ms
(* (sqrt (/ (- 1 x) (fma x (* x x) 1))) (sqrt (fma x x (- 1 x))))
7.0ms
(sqrt (/ (- 1 x) (fma x (* x x) 1)))

series320.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(sqrt (fma x x (- 1 x)))
60.0ms
(/ (- 1 x) (fma x (* x x) 1))
124.0ms
(* (sqrt (/ (- 1 x) (fma x (* x x) 1))) (sqrt (fma x x (- 1 x))))
91.0ms
(sqrt (/ (- 1 x) (fma x (* x x) 1)))

simplify2.3s

Counts
165 → 165
Iterations
IterNodes
32536
2995
1455
0227

prune2.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes195.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
211
111
09

end0.0ms

sample2.0s

Algorithm
intervals
Results
836.0ms8000×body80valid
830.0ms7973×body80nan