Details

Time bar (total: 6.6s)

sample271.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
7.0ms282×body80nan

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0911
11611
21911
32111
done2111

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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-exp-log add-cbrt-cube 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 flip3-- frac-2neg sqrt-pow1 pow1/2 sqrt-div div-sub div-exp clear-num flip--
Counts
3 → 97
Calls
3 calls:
0.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
11.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
15.0ms
(/ (- 1.0 x) (+ 1.0 x))

series144.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
91.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
49.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify1.2s

Counts
106 → 106
Iterations

Useful iterations: 3 (562.0ms)

IterNodesCost
01731505
13681422
29041333
324601320
done50011320

prune238.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3)))
0.0b
(/ (- 1.0 x) (+ x 1.0))
0.0b
(pow (/ (- 1.0 x) (+ x 1.0)) 3)
0.0b
(cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
209×*-un-lft-identity
145×add-sqr-sqrt
142×times-frac
122×cbrt-prod
80×unpow-prod-down cube-prod
79×add-cube-cbrt
61×sqrt-prod
36×distribute-lft-out
29×distribute-lft-out-- difference-of-squares
14×associate-/r/
9×add-exp-log add-cbrt-cube
7×rem-sqrt-square flip3-+ flip-+ div-inv
6×pow1
5×associate-/l*
4×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp sqr-pow
3×cube-div cube-mult pow-unpow unpow3
2×cbrt-undiv cbrt-div sqrt-pow1 pow1/3 div-exp pow-exp associate-/l/ rem-cube-cbrt
1×pow-to-exp flip3-- pow-pow frac-2neg pow1/2 sqrt-div div-sub clear-num flip-- rem-cbrt-cube
Counts
4 → 273
Calls
4 calls:
32.0ms
(sqrt (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3)))
15.0ms
(/ (- 1.0 x) (+ x 1.0))
13.0ms
(pow (/ (- 1.0 x) (+ x 1.0)) 3)
14.0ms
(cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))

series217.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(sqrt (cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3)))
35.0ms
(/ (- 1.0 x) (+ x 1.0))
57.0ms
(pow (/ (- 1.0 x) (+ x 1.0)) 3)
37.0ms
(cbrt (pow (/ (- 1.0 x) (+ x 1.0)) 3))

simplify913.0ms

Counts
285 → 285
Iterations

Useful iterations: 2 (405.0ms)

IterNodesCost
02885294
17144169
221313871
done50003871

prune472.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (pow (- 1.0 x) 3) (pow (+ x 1.0) 3))
0.0b
(pow (- 1.0 x) 3)
0.0b
(cbrt (/ (pow (- 1.0 x) 3) (pow (+ x 1.0) 3)))
0.1b
(pow (+ x 1.0) 3)

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
453×*-un-lft-identity
448×times-frac
317×add-sqr-sqrt
286×unpow-prod-down cube-prod
230×cbrt-prod
197×add-cube-cbrt
68×distribute-lft-out
64×cube-mult unpow3 sqr-pow
60×distribute-lft-out-- difference-of-squares
18×add-exp-log
16×associate-/l*
14×associate-/r*
10×cube-div
9×div-exp
8×pow-to-exp pow-exp add-cbrt-cube
6×pow1 pow-unpow
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×flip3-+ flip-+
2×flip3-- pow-pow flip-- div-inv associate-/l/ rem-cube-cbrt
1×cbrt-undiv cbrt-div frac-2neg pow1/3 clear-num
Counts
4 → 581
Calls
4 calls:
31.0ms
(/ (pow (- 1.0 x) 3) (pow (+ x 1.0) 3))
5.0ms
(pow (- 1.0 x) 3)
22.0ms
(cbrt (/ (pow (- 1.0 x) 3) (pow (+ x 1.0) 3)))
5.0ms
(pow (+ x 1.0) 3)

series166.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(/ (pow (- 1.0 x) 3) (pow (+ x 1.0) 3))
30.0ms
(pow (- 1.0 x) 3)
32.0ms
(cbrt (/ (pow (- 1.0 x) 3) (pow (+ x 1.0) 3)))
33.0ms
(pow (+ x 1.0) 3)

simplify1.3s

Counts
593 → 593
Iterations

Useful iterations: 2 (541.0ms)

IterNodesCost
044413548
181010892
2338410119
done500110119

prune683.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01316
11516
done1516

end0.0ms

sample722.0ms

Algorithm
intervals
Results
315.0ms8000×body80valid
217.0ms8246×body80nan