Details

Time bar (total: 3.8s)

sample17.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
4.0ms272×body80nan

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
056
176
2116
3136
done136

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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:
4.0ms
(sqrt (- 1.0 (* x x)))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(sqrt (- 1.0 (* x x)))

simplify977.0ms

Counts
21 → 21
Iterations

Useful iterations: 3 (283.0ms)

IterNodesCost
069260
1163230
2487214
31935211
done5001211

prune56.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (sqrt (- (pow 1.0 3) (pow x 6))) (sqrt (+ (pow x 4) (* (fma x x 1.0) 1.0))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
174×add-sqr-sqrt
172×sqrt-prod
114×times-frac
84×difference-of-squares
69×*-un-lft-identity
55×add-cube-cbrt
49×unpow-prod-down sqr-pow
21×cube-prod
19×associate-/l*
7×distribute-lft-out--
6×associate-/r*
4×sqrt-div
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u sqrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 158
Calls
1 calls:
38.0ms
(/ (sqrt (- (pow 1.0 3) (pow x 6))) (sqrt (+ (pow x 4) (* (fma x x 1.0) 1.0))))

series139.0ms

Counts
1 → 3
Calls
1 calls:
139.0ms
(/ (sqrt (- (pow 1.0 3) (pow x 6))) (sqrt (+ (pow x 4) (* (fma x x 1.0) 1.0))))

simplify1.6s

Counts
161 → 161
Iterations

Useful iterations: 3 (864.0ms)

IterNodesCost
02786384
14795757
211375389
338025334
done50005334

prune390.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes44.0ms

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
01520
11720
done1720

end0.0ms

sample446.0ms

Algorithm
intervals
Results
142.0ms8000×body80valid
131.0ms8067×body80nan