Details

Time bar (total: 57.2s)

sample178.0ms

Algorithm
intervals
Results
37.0ms256×body80valid
33.0ms250×body80nan

simplify34.0ms

Counts
1 → 1
Iterations
IterNodes
421
321
219
116
09

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

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
distribute-lft-out--
associate-/l*
associate-/r* add-cbrt-cube add-exp-log associate-/r/
pow1
rem-sqrt-square flip3-+ flip-+ insert-posit16 div-inv add-log-exp associate-/l/
cbrt-undiv clear-num frac-2neg sqrt-pow1 flip3-- pow1/2 sqrt-div div-sub div-exp flip--
Counts
2 → 95
Calls
2 calls:
21.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
37.0ms
(/ (- 1 x) (+ 1 x))

series103.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
45.0ms
(/ (- 1 x) (+ 1 x))

simplify37.7s

Counts
101 → 101
Iterations
IterNodes
46355
31780
2670
1310
0155

prune989.0ms

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

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
85×add-sqr-sqrt
80×*-un-lft-identity
61×times-frac
52×difference-of-squares
36×associate-*l*
30×add-cube-cbrt
12×distribute-lft-out--
11×add-cbrt-cube add-exp-log
pow1
flip3-- flip--
associate-*r* associate-/l* add-log-exp
associate-/r* sqrt-div
frac-times associate-*r/ associate-/r/ insert-posit16
sub-neg
distribute-rgt-in cbrt-undiv distribute-lft-in sqrt-pow1 div-exp pow-prod-down associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
clear-num frac-2neg pow1/2 diff-log div-sub *-commutative sqrt-prod
Counts
4 → 158
Calls
4 calls:
10.0ms
(- 1 (* x x))
14.0ms
(sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))
21.0ms
(/ (- 1 x) (- 1 (* x x)))
39.0ms
(* (/ (- 1 x) (- 1 (* x x))) (- 1 x))

series228.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(- 1 (* x x))
87.0ms
(sqrt (* (/ (- 1 x) (- 1 (* x x))) (- 1 x)))
36.0ms
(/ (- 1 x) (- 1 (* x x)))
54.0ms
(* (/ (- 1 x) (- 1 (* x x))) (- 1 x))

simplify10.0s

Counts
170 → 170
Iterations
IterNodes
36726
21586
1604
0231

prune1.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
153×*-un-lft-identity
106×add-sqr-sqrt
97×times-frac
90×sqrt-prod
66×exp-prod
52×add-cube-cbrt
34×log-pow difference-of-squares
25×distribute-lft-out
17×distribute-lft-out--
associate-/r/
pow1 add-cbrt-cube add-exp-log associate-/l*
add-log-exp
associate-/r* flip3-+ flip-+ insert-posit16 div-inv
log-prod
rem-sqrt-square associate-/l/
cbrt-undiv clear-num frac-2neg sqrt-pow1 flip3-- pow1/2 sqrt-div div-sub div-exp rem-log-exp flip-- rem-exp-log
Counts
4 → 183
Calls
4 calls:
22.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
47.0ms
(log (exp (sqrt (/ (- 1 x) (+ 1 x)))))
41.0ms
(exp (sqrt (/ (- 1 x) (+ 1 x))))
32.0ms
(/ (- 1 x) (+ 1 x))

series288.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
62.0ms
(log (exp (sqrt (/ (- 1 x) (+ 1 x)))))
142.0ms
(exp (sqrt (/ (- 1 x) (+ 1 x))))
26.0ms
(/ (- 1 x) (+ 1 x))

simplify1.8s

Counts
195 → 195
Iterations
IterNodes
32245
2886
1430
0235

prune2.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes102.0ms

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
213
113
011

end0.0ms

sample1.8s

Algorithm
intervals
Results
800.0ms8000×body80valid
729.0ms7967×body80nan