Details

Time bar (total: 3.9s)

sample38.0ms

Algorithm
intervals
Results
11.0ms243×body80nan
9.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
176
2116
3136
done136

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt sqrt-prod
2×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
1×add-exp-log expm1-log1p-u rem-sqrt-square flip3-- sqrt-pow1 pow1/2 add-cbrt-cube flip-- log1p-expm1-u add-log-exp difference-of-squares
Counts
1 → 18
Calls
1 calls:
11.0ms
(sqrt (- 1.0 (* x x)))

series100.0ms

Counts
1 → 3
Calls
1 calls:
100.0ms
(sqrt (- 1.0 (* x x)))

simplify542.0ms

Counts
21 → 21
Iterations

Useful iterations: done (541.0ms)

IterNodesCost
069260
1172230
2756214
done5000212

prune80.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 1/2 (/ (pow x 2) (sqrt 1.0)))
0.0b
(fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
56×times-frac
54×add-sqr-sqrt
52×associate-*r*
32×add-cube-cbrt *-un-lft-identity
28×sqrt-prod
20×unpow-prod-down
12×add-exp-log
9×unswap-sqr
8×unpow2 sqr-pow
7×add-cbrt-cube
4×pow1 prod-exp
3×div-exp associate-*l*
2×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
1×cbrt-undiv pow-to-exp associate-*r/ pow-prod-down pow-exp *-commutative fma-udef div-inv
Counts
2 → 92
Calls
2 calls:
52.0ms
(* 1/2 (/ (pow x 2) (sqrt 1.0)))
0.0ms
(fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))

series521.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(* 1/2 (/ (pow x 2) (sqrt 1.0)))
412.0ms
(fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))

simplify998.0ms

Counts
98 → 98
Iterations

Useful iterations: done (993.0ms)

IterNodesCost
01721307
14401157
218881023
done50001020

prune360.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes55.0ms

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
056
done56

end0.0ms

sample1.1s

Algorithm
intervals
Results
401.0ms8000×body80valid
320.0ms7917×body80nan