Details

Time bar (total: 11.9s)

sample187.0ms

Algorithm
intervals
Results
51.0ms256×body80valid
14.0ms250×body80nan

simplify73.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
09308
116308
219308
321308
done21308

prune45.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize814.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b
(/ (- 1.0 x) (+ 1.0 x))
0.0b
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
45×add-sqr-sqrt
41×times-frac
26×sqrt-prod
24×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
5×add-cbrt-cube add-exp-log associate-/l*
4×pow1 associate-/r* associate-/r/
3×expm1-log1p-u 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 → 97
Calls
3 calls:
17.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
40.0ms
(/ (- 1.0 x) (+ 1.0 x))
2.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

series209.0ms

Counts
3 → 9
Calls
3 calls:
134.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
62.0ms
(/ (- 1.0 x) (+ 1.0 x))
12.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

simplify1.5s

Counts
106 → 106
Iterations

Useful iterations: done (1.5s)

IterNodesCost
016833508
137030194
2145929527
done500129487

prune524.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
0.0b
(cbrt (- 1.0 x))
0.0b
(cbrt (- 1.0 x))
0.0b
(cbrt (- 1.0 x))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube 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 → 109
Calls
4 calls:
38.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
7.0ms
(cbrt (- 1.0 x))
11.0ms
(cbrt (- 1.0 x))
6.0ms
(cbrt (- 1.0 x))

series536.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
149.0ms
(cbrt (- 1.0 x))
134.0ms
(cbrt (- 1.0 x))
115.0ms
(cbrt (- 1.0 x))

simplify1.4s

Counts
121 → 121
Iterations

Useful iterations: done (1.3s)

IterNodesCost
015245458
135736116
2129135851
done500035126

prune692.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (- 1.0 x))
0.0b
(cbrt (- 1.0 x))
0.0b
(cbrt (- 1.0 x))
0.0b
(cbrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-div
16×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
9×flip3-- flip--
7×add-cube-cbrt
4×expm1-log1p-u frac-times pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
3×distribute-lft-out-- difference-of-squares
2×associate-*l/ associate-*r/
Counts
4 → 70
Calls
4 calls:
6.0ms
(cbrt (- 1.0 x))
6.0ms
(cbrt (- 1.0 x))
6.0ms
(cbrt (- 1.0 x))
21.0ms
(cbrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))

series528.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(cbrt (- 1.0 x))
118.0ms
(cbrt (- 1.0 x))
119.0ms
(cbrt (- 1.0 x))
172.0ms
(cbrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))

simplify2.7s

Counts
82 → 82
Iterations

Useful iterations: done (2.7s)

IterNodesCost
015438721
132831724
296131554
3374430602
done500030527

prune732.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes206.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
015668
118668
done18668

end0.0ms

sample1.5s

Algorithm
intervals
Results
740.0ms8000×body80valid
439.0ms8142×body80nan