Details

Time bar (total: 1.0s)

sample17.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
4.0ms273×body80nan

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
1113
2133
3133

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)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 add-cube-cbrt *-un-lft-identity sqrt-div
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)))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(sqrt (- 1.0 (* x x)))

simplify81.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0165131
1568128
22782126
35001123

prune48.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

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
unswap-sqr
unpow2 sqr-pow
add-cbrt-cube
prod-exp
pow1 div-exp associate-*l*
cbrt-unprod
cbrt-undiv expm1-log1p-u pow-to-exp associate-*r/ pow-prod-down pow-exp *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 82
Calls
1 calls:
22.0ms
(* 1/2 (/ (pow x 2) (sqrt 1.0)))

series65.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(* 1/2 (/ (pow x 2) (sqrt 1.0)))

simplify51.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0364505
11674442
25001442

prune195.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample442.0ms

Algorithm
intervals
Results
131.0ms8122×body80nan
129.0ms8000×body80valid