Details

Time bar (total: 1.9s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms87×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
184

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
13×add-sqr-sqrt
12×add-cube-cbrt times-frac
5×distribute-lft-out
4×add-exp-log associate-/r* sqrt-prod add-cbrt-cube
3×pow1 associate-/l*
2×flip3-+ sqrt-div associate-/r/ flip-+ add-log-exp
1×cbrt-undiv rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp clear-num div-inv
Counts
2 → 49
Calls
2 calls:
3.0ms
(sqrt (+ x 1.0))
7.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series19.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(sqrt (+ x 1.0))
15.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify46.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0412473
11774450
25002447

prune100.0ms

Filtered
55 candidates to 42 candidates (23.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New51455
Fresh000
Picked011
Done000
Total51556

Merged error: 0b

Counts
56 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.1b
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
0.2b
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
96×*-un-lft-identity
63×add-sqr-sqrt
62×add-cube-cbrt
19×associate-/r*
17×distribute-lft-out
16×add-exp-log
10×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
5×pow1
4×cbrt-undiv sqrt-prod
3×add-log-exp
2×rec-exp frac-2neg flip3-+ sqrt-div 1-exp clear-num flip-+ associate-/l/
1×rem-sqrt-square pow-flip sqrt-pow1 pow1/2 associate-/r/ inv-pow
Counts
3 → 137
Calls
3 calls:
3.0ms
(sqrt (+ x 1.0))
7.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
10.0ms
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

series28.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(sqrt (+ x 1.0))
9.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
16.0ms
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

simplify79.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
07231419
134391296
250021212

prune165.0ms

Filtered
146 candidates to 78 candidates (46.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1460146
Fresh033
Picked011
Done011
Total1465151

Merged error: 0b

Counts
151 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
55×add-sqr-sqrt
52×times-frac
39×sqrt-prod
38×add-cube-cbrt
30×associate-*r*
14×distribute-lft-out
10×add-exp-log add-cbrt-cube
6×pow1 associate-*l* associate-/l* unswap-sqr
4×associate-/r* associate-/r/
3×flip3-+ flip-+ add-log-exp
2×cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod div-inv
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num *-commutative
Counts
3 → 120
Calls
3 calls:
3.0ms
(sqrt (+ x 1.0))
8.0ms
(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
16.0ms
(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

series48.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(sqrt (+ x 1.0))
29.0ms
(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
15.0ms
(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

simplify93.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
08081382
140051273
250011249

prune179.0ms

Filtered
129 candidates to 80 candidates (38.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1290129
Fresh022
Picked011
Done022
Total1295134

Merged error: 0b

Counts
134 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (/ x (+ 1.0 (sqrt (+ x 1.0)))))
0.0b
(sqrt (+ x 1.0))
0.2b
(/ x (+ 1.0 (sqrt (+ x 1.0))))
3.5b
(exp (log (/ x (+ 1.0 (sqrt (+ x 1.0))))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
53×*-un-lft-identity
36×log-prod times-frac
32×add-sqr-sqrt
31×add-cube-cbrt
18×exp-sum
11×distribute-lft-out
9×add-exp-log
7×pow1
6×associate-/r/ add-cbrt-cube
4×exp-prod flip3-+ associate-/r* sqrt-prod flip-+ add-log-exp
3×div-inv associate-/l*
2×log-div sqrt-div div-exp rem-log-exp log-pow
1×cbrt-undiv rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 exp-diff clear-num rem-exp-log
Counts
4 → 109
Calls
4 calls:
7.0ms
(log (/ x (+ 1.0 (sqrt (+ x 1.0)))))
3.0ms
(sqrt (+ x 1.0))
7.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))
8.0ms
(exp (log (/ x (+ 1.0 (sqrt (+ x 1.0))))))

series80.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(log (/ x (+ 1.0 (sqrt (+ x 1.0)))))
3.0ms
(sqrt (+ x 1.0))
16.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))
19.0ms
(exp (log (/ x (+ 1.0 (sqrt (+ x 1.0))))))

simplify92.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
09081515
140751446
250011431

prune262.0ms

Filtered
121 candidates to 88 candidates (27.3%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1210121
Fresh011
Picked011
Done033
Total1215126

Merged error: 0b

Counts
126 → 5

regimes71.0ms

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
084
184

end0.0ms

sample448.0ms

Algorithm
intervals
Results
219.0ms7998×body80valid
69.0ms2686×body80nan
0.0ms2×body1280valid

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