Details

Time bar (total: 2.0s)

analyze2.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 25.048822%

Guaranteed chance to sample good point: 99.99593%

sample12.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
184

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ x (+ 1.0 (sqrt (+ x 1.0))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
9.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify40.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0320371
11436348
25001347

prune75.0ms

Filtered
27 candidates to 36 candidates (-33.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New32436
Fresh000
Picked011
Done000
Total32537

Merged error: 0b

Counts
37 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
0.1b
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
27×add-sqr-sqrt
26×times-frac
20×add-cube-cbrt
18×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out
5×pow1
4×div-exp prod-exp associate-/r* associate-/r/
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 78
Calls
2 calls:
8.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
14.0ms
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

series27.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
16.0ms
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

simplify68.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0549793
12824711
25001672

prune116.0ms

Filtered
46 candidates to 84 candidates (-82.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh033
Picked011
Done011
Total84589

Merged error: 0b

Counts
89 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ 1.0 (sqrt (+ x 1.0))))
0.0b
(sqrt (+ 1.0 (sqrt (+ x 1.0))))
0.4b
(/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))
0.4b
(/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
378×times-frac
306×*-un-lft-identity
232×sqrt-prod
192×add-sqr-sqrt
190×add-cube-cbrt
58×distribute-lft-out
30×associate-/l*
24×sqrt-div
20×associate-/r/
14×associate-/r*
12×flip3-+ flip-+
11×add-exp-log add-cbrt-cube
10×div-inv
6×pow1
4×cbrt-undiv div-exp add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×associate-/l/
Counts
4 → 317
Calls
4 calls:
6.0ms
(sqrt (+ 1.0 (sqrt (+ x 1.0))))
6.0ms
(sqrt (+ 1.0 (sqrt (+ x 1.0))))
8.0ms
(/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))
23.0ms
(/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))

series71.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(sqrt (+ 1.0 (sqrt (+ x 1.0))))
10.0ms
(sqrt (+ 1.0 (sqrt (+ x 1.0))))
29.0ms
(/ x (sqrt (+ 1.0 (sqrt (+ x 1.0)))))
21.0ms
(/ (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))

simplify128.0ms

Algorithm
egg-herbie
Counts
329 → 329
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
011265982
146615345
250025337

prune588.0ms

Filtered
145 candidates to 329 candidates (-126.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3290329
Fresh022
Picked011
Done022
Total3295334

Merged error: 0b

Counts
334 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
0.2b
(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
52×add-sqr-sqrt times-frac
36×add-cube-cbrt
35×sqrt-prod
30×associate-*r*
13×distribute-lft-out
9×add-exp-log add-cbrt-cube
6×associate-*l* associate-/l* unswap-sqr
4×pow1 associate-/r* associate-/r/
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 104
Calls
2 calls:
8.0ms
(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
17.0ms
(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

series44.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
18.0ms
(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

simplify87.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07211280
136871171
250011146

prune142.0ms

Filtered
64 candidates to 110 candidates (-71.9%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1100110
Fresh011
Picked011
Done033
Total1105115

Merged error: 0b

Counts
115 → 5

regimes100.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

analyze3.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 25.048822%

Guaranteed chance to sample good point: 99.99593%

sample288.0ms

Algorithm
intervals
Results
204.0ms7998×body80valid
0.0ms2×body1280valid

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