Details

Time bar (total: 5.5s)

sample39.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
8.0ms250×body80nan

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
176
2116
3136
done136

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:
8.0ms
(sqrt (- 1.0 (* x x)))

series76.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(sqrt (- 1.0 (* x x)))

simplify1.5s

Counts
21 → 21
Iterations

Useful iterations: done (1.5s)

IterNodesCost
069260
1163230
2461214
31546211
done5001208

prune104.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (fma x x 1.0))
0.0b
(/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (fma x x 1.0)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
75×sqrt-prod
54×times-frac
52×add-sqr-sqrt
37×add-cube-cbrt *-un-lft-identity
21×difference-of-squares
9×associate-/l*
7×unpow-prod-down sqr-pow
6×associate-/r*
4×add-exp-log add-cbrt-cube
3×pow1
2×expm1-log1p-u sqrt-div log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv rem-sqrt-square sqrt-undiv flip3-- frac-2neg sqrt-pow1 pow1/2 div-exp clear-num flip-- div-inv
Counts
2 → 101
Calls
2 calls:
3.0ms
(sqrt (fma x x 1.0))
67.0ms
(/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (fma x x 1.0)))

series252.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(sqrt (fma x x 1.0))
178.0ms
(/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (fma x x 1.0)))

simplify2.1s

Counts
107 → 107
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01942490
13622244
28882181
324722157
done50002152

prune407.0ms

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
01014
done1014

end0.0ms

sample858.0ms

Algorithm
intervals
Results
241.0ms8000×body80valid
219.0ms8070×body80nan