Details

Time bar (total: 3.3s)

sample17.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
4.0ms259×body80nan

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
056
176
2116
done116

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)))

rewrite3.0ms

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 rem-sqrt-square flip3-- sqrt-pow1 pow1/2 add-cbrt-cube flip-- add-log-exp difference-of-squares
Counts
1 → 16
Calls
1 calls:
3.0ms
(sqrt (- 1.0 (* x x)))

series63.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(sqrt (- 1.0 (* x x)))

simplify1.1s

Counts
19 → 19
Iterations

Useful iterations: 3 (266.0ms)

IterNodesCost
067246
1155220
2454206
31812202
done5000202

prune51.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
78×sqrt-prod
54×add-sqr-sqrt times-frac
37×add-cube-cbrt *-un-lft-identity
24×difference-of-squares
9×associate-/l*
8×unpow-prod-down sqr-pow
6×sqrt-div associate-/r*
4×add-exp-log add-cbrt-cube
3×pow1
2×flip3-- associate-/r/ flip-- associate-/l/ add-log-exp
1×cbrt-undiv rem-sqrt-square sqrt-undiv frac-2neg sqrt-pow1 flip3-+ pow1/2 div-exp clear-num flip-+ div-inv
Counts
2 → 104
Calls
2 calls:
8.0ms
(sqrt (- (* 1.0 1.0) (pow x 4)))
18.0ms
(/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))

series231.0ms

Counts
2 → 6
Calls
2 calls:
111.0ms
(sqrt (- (* 1.0 1.0) (pow x 4)))
120.0ms
(/ (sqrt (- (* 1.0 1.0) (pow x 4))) (sqrt (+ 1.0 (* x x))))

simplify1.1s

Counts
110 → 110
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02132813
14102538
211662472
done50012452

prune277.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

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

sample431.0ms

Algorithm
intervals
Results
139.0ms8000×body80valid
123.0ms8082×body80nan