Details

Time bar (total: 1.1s)

analyze120.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 24.298835%

Guaranteed chance to sample good point: 97.68828%

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms1×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.8b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

17.5b
(sqrt (+ (* x x) y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt sqrt-prod
2×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
1×add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ add-log-exp
Counts
1 → 15
Calls
1 calls:
4.0ms
(sqrt (+ (* x x) y))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(sqrt (+ (* x x) y))

simplify172.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
011494
134492
2103790
3476089
4500189

prune29.0ms

Filtered
15 candidates to 18 candidates (-20.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New15318
Fresh000
Picked011
Done000
Total15419

Merged error: 0b

Counts
19 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (sqrt (+ (* x x) y)))
0.5b
(* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
17.5b
(sqrt (+ (* x x) y))
17.5b
(sqrt (+ (* x x) y))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
82×sqrt-prod
54×add-sqr-sqrt
38×sqrt-pow1
32×sqrt-div
31×pow1
20×add-cube-cbrt *-un-lft-identity pow1/2
15×swap-sqr
9×flip3-+ associate-*r* associate-*l* pow-prod-up flip-+ unswap-sqr
6×add-exp-log add-cbrt-cube
5×pow-prod-down pow-sqr
4×frac-times rem-sqrt-square add-log-exp
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 134
Calls
4 calls:
4.0ms
(sqrt (sqrt (+ (* x x) y)))
16.0ms
(* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
4.0ms
(sqrt (+ (* x x) y))
4.0ms
(sqrt (+ (* x x) y))

series34.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(sqrt (sqrt (+ (* x x) y)))
6.0ms
(* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
6.0ms
(sqrt (+ (* x x) y))
6.0ms
(sqrt (+ (* x x) y))

simplify54.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0295915
11206858
25001835

prune102.0ms

Filtered
79 candidates to 146 candidates (-84.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1460146
Fresh022
Picked011
Done011
Total1464150

Merged error: 0b

Counts
150 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* -1/2 (/ y x))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
7.0ms
(* -1/2 (/ y x))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(* -1/2 (/ y x))

simplify66.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0164128
1727118
22950118
35001118

prune35.0ms

Filtered
24 candidates to 35 candidates (-45.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New35035
Fresh011
Picked011
Done022
Total35439

Merged error: 0b

Counts
39 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 1/2 (/ y x))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
6.0ms
(* 1/2 (/ y x))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(* 1/2 (/ y x))

simplify67.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0164128
1727118
22952118
35001118

prune31.0ms

Filtered
24 candidates to 35 candidates (-45.8%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New35035
Fresh000
Picked011
Done033
Total35439

Merged error: 0b

Counts
39 → 4

regimes317.0ms

bsearch0.0ms

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