Details

Time bar (total: 22.6s)

sample208.0ms

Algorithm
intervals
Results
52.0ms286×body80nan
26.0ms256×body80valid

simplify118.0ms

Counts
1 → 1
Iterations
IterNodes
423
323
221
118
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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))))

rewrite41.0ms

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:
12.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
24.0ms
(/ (- 1 x) (+ 1 x))
2.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

series130.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
36.0ms
(/ (- 1 x) (+ 1 x))
18.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify11.6s

Counts
118 → 118
Iterations
IterNodes
45687
31955
2772
1350
0174

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize40.0ms

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))))

rewrite69.0ms

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×expm1-log1p-u associate-*l/ associate-*r/ insert-posit16 log1p-expm1-u 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 → 131
Calls
4 calls:
5.0ms
(cbrt (+ 1 x))
5.0ms
(cbrt (+ 1 x))
28.0ms
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
28.0ms
(/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))

series201.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(cbrt (+ 1 x))
59.0ms
(cbrt (+ 1 x))
45.0ms
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
62.0ms
(/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))

simplify1.7s

Counts
143 → 143
Iterations
IterNodes
33597
21269
1491
0193

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize40.0ms

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))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
98×sqrt-prod
92×*-un-lft-identity
75×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×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 flip3-+ flip3-- pow1/2 associate-/r/ flip-+ hypot-def flip-- associate-/l/
1×cbrt-undiv sqrt-undiv clear-num frac-2neg div-exp hypot-1-def div-inv
Counts
4 → 152
Calls
4 calls:
17.0ms
(sqrt (- 1 x))
9.0ms
(sqrt (+ 1 x))
31.0ms
(/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
15.0ms
(atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))

series128.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(sqrt (- 1 x))
36.0ms
(sqrt (+ 1 x))
45.0ms
(/ (sqrt (- 1 x)) (sqrt (+ 1 x)))
2.0ms
(atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))

simplify1.1s

Counts
164 → 164
Iterations
IterNodes
42839
31227
2620
1340
0197

prune1.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
216
116
012

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.3s7862×body80nan
964.0ms8000×body80valid