Details

Time bar (total: 3.0s)

sample95.0ms

Algorithm
intervals
Results
26.0ms120×body2560nan
18.0ms576×body80nan
14.0ms89×body1280nan
10.0ms256×body80valid
4.0ms36×body640nan
3.0ms29×body320nan
1.0msbody160nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1115
2115

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.9b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

29.6b
(sqrt (- (* x x) 1.0))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 add-cube-cbrt *-un-lft-identity sqrt-div
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:
4.0ms
(sqrt (- (* x x) 1.0))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(sqrt (- (* x x) 1.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0142113
1438111
21809109
35001108

prune36.0ms

Filtered
16 candidates to 19 candidates (-18.8%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New18119
Fresh000
Picked101
Done000
Total19120

Merged error: 0b

Counts
20 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

0.6b
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×sqrt-prod
12×sqrt-div
*-un-lft-identity associate-*r*
associate-*l*
pow1 add-cube-cbrt
frac-times unswap-sqr
add-exp-log flip3-- flip3-+ pow-prod-down add-cbrt-cube flip-- flip-+
sqrt-pow1 pow1/2 associate-*r/ associate-*l/ difference-of-squares
sqrt-unprod prod-exp *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- add-log-exp
Counts
1 → 42
Calls
1 calls:
12.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

simplify107.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0258477
1965461
24426456
35002456

prune96.0ms

Filtered
31 candidates to 45 candidates (-45.2%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New45045
Fresh000
Picked011
Done000
Total45146

Merged error: 0b

Counts
46 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139
1139

end0.0ms

sample2.6s

Algorithm
intervals
Results
590.0ms3087×body2560nan
544.0ms16701×body80nan
391.0ms2478×body1280nan
315.0ms8000×body80valid
154.0ms1212×body640nan
62.0ms642×body320nan
21.0ms328×body160nan

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