Details

Time bar (total: 1.8s)

sample42.0ms

Algorithm
intervals
Results
11.0ms235×body160nan
10.0ms485×body80nan
7.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1125
2125

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.9b

localize7.0ms

Local error

Found 1 expressions with local error:

29.7b
(sqrt (- (* x x) 1.0))

rewrite6.0ms

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:
6.0ms
(sqrt (- (* x x) 1.0))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(sqrt (- (* x x) 1.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0152121
1479117
21970116
35001115

prune58.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 0.5 (/ 1 x) (* 0.125 (/ 1 (pow x 3))))
0.3b
(/ 1 (pow x 3))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×unpow-prod-down cube-prod associate-/r*
11×add-exp-log
div-exp
cube-mult unpow3 add-cbrt-cube sqr-pow
pow-to-exp rec-exp 1-exp pow-exp associate-/l*
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
cbrt-undiv pow-flip frac-2neg clear-num fma-udef div-inv inv-pow
Counts
2 → 85
Calls
2 calls:
0.0ms
(fma 0.5 (/ 1 x) (* 0.125 (/ 1 (pow x 3))))
5.0ms
(/ 1 (pow x 3))

series118.0ms

Counts
2 → 6
Calls
2 calls:
83.0ms
(fma 0.5 (/ 1 x) (* 0.125 (/ 1 (pow x 3))))
35.0ms
(/ 1 (pow x 3))

simplify30.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0195397
1897304
25001304

prune131.0ms

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
0178
1178

end0.0ms

sample1.3s

Algorithm
intervals
Results
355.0ms7700×body160nan
342.0ms16498×body80nan
223.0ms8000×body80valid