Details

Time bar (total: 1.8s)

sample31.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
7.0ms238×body80nan

simplify2.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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 rem-sqrt-square flip3-- sqrt-pow1 pow1/2 add-cbrt-cube flip-- add-log-exp difference-of-squares
Counts
1 → 16
Calls
1 calls:
8.0ms
(sqrt (- 1.0 (* x x)))

series102.0ms

Counts
1 → 3
Calls
1 calls:
101.0ms
(sqrt (- 1.0 (* x x)))

simplify53.0ms

Counts
19 → 19

prune76.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 1/2 (/ (pow x 2) (sqrt 1.0)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
56×times-frac
53×add-sqr-sqrt
52×associate-*r*
31×add-cube-cbrt *-un-lft-identity
28×sqrt-prod
20×unpow-prod-down
11×add-exp-log
9×unswap-sqr
8×unpow2 sqr-pow
6×add-cbrt-cube
4×prod-exp
3×pow1 div-exp associate-*l*
2×cbrt-unprod
1×cbrt-undiv pow-to-exp associate-*r/ pow-prod-down pow-exp *-commutative div-inv add-log-exp
Counts
1 → 80
Calls
1 calls:
41.0ms
(* 1/2 (/ (pow x 2) (sqrt 1.0)))

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(* 1/2 (/ (pow x 2) (sqrt 1.0)))

simplify65.0ms

Counts
83 → 83

prune293.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample917.0ms

Algorithm
intervals
Results
311.0ms8000×body80valid
274.0ms8071×body80nan