Details

Time bar (total: 1.5s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms85×body80nan

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: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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))))

series26.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(sqrt (+ x 1.0))
22.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify43.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0412473
11774450
25002447

prune103.0ms

Filtered
42 candidates to 55 candidates (-31.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New53255
Fresh000
Picked011
Done000
Total53356

Merged error: 0b

Counts
56 → 3

localize7.0ms

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))))
17.0ms
(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

series52.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(sqrt (+ x 1.0))
32.0ms
(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
16.0ms
(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

simplify95.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
08081382
140051273
250011249

prune187.0ms

Filtered
81 candidates to 129 candidates (-59.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1290129
Fresh011
Picked011
Done011
Total1293132

Merged error: 0b

Counts
132 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
360×times-frac
284×*-un-lft-identity
190×sqrt-prod
185×add-sqr-sqrt
184×add-cube-cbrt
50×distribute-lft-out
34×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
9×div-inv
4×pow1 cbrt-undiv div-exp
3×add-log-exp
2×frac-2neg flip3-+ sqrt-div clear-num flip-+ associate-/l/
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/
Counts
3 → 281
Calls
3 calls:
3.0ms
(sqrt (+ x 1.0))
10.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))
14.0ms
(/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))

series33.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(sqrt (+ x 1.0))
13.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))
17.0ms
(/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))

simplify65.0ms

Algorithm
egg-herbie
Counts
290 → 290
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
010984070
150013678

prune286.0ms

Filtered
133 candidates to 290 candidates (-118.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2900290
Fresh000
Picked011
Done022
Total2903293

Merged error: 0b

Counts
293 → 3

regimes64.0ms

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

sample427.0ms

Algorithm
intervals
Results
207.0ms7999×body80valid
63.0ms2677×body80nan
0.0ms1×body1280valid

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