Details

Time bar (total: 13.9s)

sample149.0ms

Algorithm
intervals
Results
38.0ms256×body80valid
32.0ms286×body80nan

simplify80.0ms

Counts
1 → 1
Iterations
IterNodes
423
323
221
118
09

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (/ (- 1 x) (+ 1 x)))
0.0b
(/ (- 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×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:
19.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
32.0ms
(/ (- 1 x) (+ 1 x))
3.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

series116.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
26.0ms
(/ (- 1 x) (+ 1 x))
24.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify4.7s

Counts
112 → 112
Iterations
IterNodes
45485
31810
2692
1328
0168

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (+ 1 x))
0.0b
(cbrt (+ 1 x))
0.0b
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
0.0b
(/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
32×cbrt-prod
30×add-sqr-sqrt
28×cbrt-div
16×add-cube-cbrt
14×flip3-+ flip-+
11×pow1 add-exp-log
9×swap-sqr
8×frac-times pow1/3 associate-/r/ distribute-lft-out
7×add-cbrt-cube associate-*r* associate-*l*
6×times-frac associate-/l*
4×associate-*l/ associate-*r/ insert-posit16 add-log-exp difference-of-squares unswap-sqr
2×cbrt-undiv div-exp pow-prod-down prod-exp pow-sqr pow-prod-up cbrt-unprod distribute-lft-out-- associate-/l/
1×pow2 clear-num associate-/r* frac-2neg pow-plus flip3-- div-sub *-commutative div-inv flip--
Counts
4 → 123
Calls
4 calls:
2.0ms
(cbrt (+ 1 x))
2.0ms
(cbrt (+ 1 x))
22.0ms
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
24.0ms
(/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))

series220.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(cbrt (+ 1 x))
59.0ms
(cbrt (+ 1 x))
41.0ms
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
84.0ms
(/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))

simplify1.5s

Counts
135 → 135
Iterations
IterNodes
33363
21170
1471
0187

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
98×sqrt-prod
91×*-un-lft-identity
71×add-sqr-sqrt
63×times-frac
42×add-cube-cbrt
18×difference-of-squares
11×distribute-lft-out
9×associate-/l* distribute-lft-out--
8×sqrt-div
7×associate-/r*
6×pow1 add-cbrt-cube add-exp-log
4×insert-posit16 add-log-exp
2×rem-sqrt-square sqrt-pow1 flip3-+ flip3-- pow1/2 associate-/r/ flip-+ flip-- associate-/l/
1×cbrt-undiv sqrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 141
Calls
4 calls:
7.0ms
(sqrt (- 1 x))
4.0ms
(sqrt (+ 1 x))
15.0ms
(/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
9.0ms
(atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))

series127.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(sqrt (- 1 x))
25.0ms
(sqrt (+ 1 x))
55.0ms
(/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
4.0ms
(atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))

simplify796.0ms

Counts
153 → 153
Iterations
IterNodes
42415
31090
2580
1321
0189

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
216
116
012

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.1s8000×body80valid
806.0ms7862×body80nan