Details

Time bar (total: 13.1s)

sample406.0ms

Algorithm
intervals
Results
105.0ms276×body80nan
45.0ms256×body80valid

simplify50.0ms

Counts
1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

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))))

rewrite32.0ms

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
18.0ms
(/ (- 1 x) (+ 1 x))
10.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
1.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

series133.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
78.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
48.0ms
(/ (- 1 x) (+ 1 x))
6.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify660.0ms

Counts
112 → 112

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
378×times-frac
354×*-un-lft-identity
263×add-sqr-sqrt
155×add-cube-cbrt
95×sqrt-prod
66×difference-of-squares
49×distribute-lft-out
36×associate-/r*
33×distribute-lft-out--
18×associate-/r/
17×add-exp-log
11×add-cbrt-cube
10×div-inv
8×flip3-- div-exp flip--
7×pow1 associate-/l*
5×rem-sqrt-square
4×cbrt-undiv insert-posit16 add-log-exp
3×sqrt-pow1
2×rec-exp clear-num frac-2neg 1-exp pow-flip inv-pow associate-/l/
1×flip3-+ pow1/2 sqrt-div flip-+
Counts
4 → 317
Calls
4 calls:
Slowest
31.0ms
(/ 1 (/ (+ 1 x) (- 1 x)))
25.0ms
(/ (+ 1 x) (- 1 x))
15.0ms
(sqrt (/ 1 (/ (+ 1 x) (- 1 x))))
1.0ms
(atan (sqrt (/ 1 (/ (+ 1 x) (- 1 x)))))

series161.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
75.0ms
(sqrt (/ 1 (/ (+ 1 x) (- 1 x))))
43.0ms
(/ 1 (/ (+ 1 x) (- 1 x)))
40.0ms
(/ (+ 1 x) (- 1 x))
2.0ms
(atan (sqrt (/ 1 (/ (+ 1 x) (- 1 x)))))

simplify1.3s

Counts
329 → 329

prune3.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
71×*-un-lft-identity
51×add-sqr-sqrt
48×cbrt-prod
36×times-frac
27×add-cube-cbrt
16×difference-of-squares
10×distribute-lft-out
9×associate-/r*
8×cbrt-div distribute-lft-out--
6×add-exp-log
5×add-cbrt-cube
4×pow1 flip3-- insert-posit16 flip-- associate-/l* add-log-exp
3×pow1/3
2×associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ div-inv
Counts
4 → 117
Calls
4 calls:
Slowest
35.0ms
(/ (+ 1 x) (cbrt (- 1 x)))
6.0ms
(cbrt (- 1 x))
6.0ms
(cbrt (- 1 x))
6.0ms
(cbrt (- 1 x))

series212.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
77.0ms
(/ (+ 1 x) (cbrt (- 1 x)))
57.0ms
(cbrt (- 1 x))
42.0ms
(cbrt (- 1 x))
36.0ms
(cbrt (- 1 x))

simplify1.3s

Counts
129 → 129

prune1.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
941.0ms8000×body80valid
758.0ms7886×body80nan