Details

Time bar (total: 4.9s)

sample35.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
8.0ms229×body80nan

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
176
2116
done116

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×sqrt-prod add-log-exp
3×pow1 add-cube-cbrt *-un-lft-identity
2×add-exp-log flip3-- sqrt-div add-cbrt-cube flip-- difference-of-squares
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
2 → 29
Calls
2 calls:
6.0ms
(sqrt (- 1.0 (* x x)))
7.0ms
(- 1.0 (* x x))

series167.0ms

Counts
2 → 6
Calls
2 calls:
99.0ms
(sqrt (- 1.0 (* x x)))
69.0ms
(- 1.0 (* x x))

simplify1.4s

Counts
35 → 35
Iterations

Useful iterations: done (1.4s)

IterNodesCost
076386
1168351
2466325
31613319
done5000316

prune110.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (cbrt (pow (- 1.0 (* x x)) 3)))
0.0b
(- 1.0 (* x x))
0.0b
(cbrt (pow (- 1.0 (* x x)) 3))
0.0b
(pow (- 1.0 (* x x)) 3)

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
25×add-sqr-sqrt
17×sqrt-prod
14×add-cube-cbrt *-un-lft-identity
13×unpow-prod-down cube-prod
7×difference-of-squares
6×pow1 cube-div add-log-exp
5×add-exp-log rem-sqrt-square add-cbrt-cube
4×cbrt-div flip3-- flip-- sqr-pow
3×cube-mult pow-unpow unpow3
2×sqrt-pow1 pow1/3 sqrt-div
1×pow-to-exp sub-neg pow-pow pow1/2 diff-log pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 99
Calls
4 calls:
34.0ms
(sqrt (cbrt (pow (- 1.0 (* x x)) 3)))
11.0ms
(- 1.0 (* x x))
14.0ms
(cbrt (pow (- 1.0 (* x x)) 3))
15.0ms
(pow (- 1.0 (* x x)) 3)

series302.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(sqrt (cbrt (pow (- 1.0 (* x x)) 3)))
51.0ms
(- 1.0 (* x x))
75.0ms
(cbrt (pow (- 1.0 (* x x)) 3))
90.0ms
(pow (- 1.0 (* x x)) 3)

simplify965.0ms

Counts
111 → 111
Iterations

Useful iterations: done (959.0ms)

IterNodesCost
01461504
13191105
29391037
done50001027

prune301.0ms

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
done89

end0.0ms

sample1.4s

Algorithm
intervals
Results
744.0ms7970×body80nan
316.0ms8000×body80valid