Details

Time bar (total: 14.8s)

sample265.0ms

Algorithm
intervals
Results
37.0ms256×body80valid
35.0ms276×body80nan

simplify59.0ms

Counts
1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

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))))

rewrite57.0ms

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:
Slowest
38.0ms
(/ (- 1 x) (+ 1 x))
15.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
1.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

series145.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
78.0ms
(sqrt (/ (- 1 x) (+ 1 x)))
58.0ms
(/ (- 1 x) (+ 1 x))
9.0ms
(atan (sqrt (/ (- 1 x) (+ 1 x))))

simplify978.0ms

Counts
118 → 118

prune1.5s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize36.0ms

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)))))

rewrite94.0ms

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×expm1-log1p-u cbrt-undiv insert-posit16 log1p-expm1-u 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 → 325
Calls
4 calls:
Slowest
37.0ms
(/ 1 (/ (+ 1 x) (- 1 x)))
27.0ms
(/ (+ 1 x) (- 1 x))
13.0ms
(sqrt (/ 1 (/ (+ 1 x) (- 1 x))))
1.0ms
(atan (sqrt (/ 1 (/ (+ 1 x) (- 1 x)))))

series162.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
73.0ms
(sqrt (/ 1 (/ (+ 1 x) (- 1 x))))
47.0ms
(/ 1 (/ (+ 1 x) (- 1 x)))
39.0ms
(/ (+ 1 x) (- 1 x))
2.0ms
(atan (sqrt (/ 1 (/ (+ 1 x) (- 1 x)))))

simplify1.2s

Counts
337 → 337

prune4.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
50×cbrt-prod
44×add-sqr-sqrt
42×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
14×difference-of-squares
11×pow1 swap-sqr
9×flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 119
Calls
4 calls:
Slowest
45.0ms
(* (cbrt (- 1 x)) (cbrt (- 1 x)))
3.0ms
(cbrt (- 1 x))
3.0ms
(cbrt (- 1 x))
3.0ms
(cbrt (- 1 x))

series211.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
60.0ms
(cbrt (- 1 x))
57.0ms
(* (cbrt (- 1 x)) (cbrt (- 1 x)))
48.0ms
(cbrt (- 1 x))
45.0ms
(cbrt (- 1 x))

simplify1.6s

Counts
131 → 131

prune1.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.3s8000×body80valid
815.0ms7886×body80nan