Details

Time bar (total: 2.8s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
1.0ms86×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
184

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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))))

series169.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(sqrt (+ x 1.0))
140.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify34.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0292385
11096351
25002346

prune99.0ms

Filtered
55 candidates to 40 candidates (72.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New51455
Fresh000
Picked101
Done000
Total52456

Merged error: 0b

Counts
56 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
30×add-sqr-sqrt
26×times-frac
22×add-cube-cbrt
18×associate-*r*
16×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out
7×pow1
4×div-exp prod-exp associate-/r* sqrt-prod associate-/r/
3×flip3-+ associate-*l* flip-+ associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp sqrt-div 1-exp cbrt-unprod div-inv
1×rem-sqrt-square pow-flip frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 94
Calls
3 calls:
3.0ms
(sqrt (+ x 1.0))
12.0ms
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))
8.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))

series273.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(sqrt (+ x 1.0))
143.0ms
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))
100.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))

simplify59.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0427723
11909623
25002584

prune135.0ms

Filtered
103 candidates to 60 candidates (58.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1030103
Fresh033
Picked011
Done000
Total1034107

Merged error: 0b

Counts
107 → 4

localize6.0ms

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))

rewrite30.0ms

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))
8.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
14.0ms
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

series267.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(sqrt (+ x 1.0))
89.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
148.0ms
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

simplify67.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05711316
125721174
250011087

prune171.0ms

Filtered
146 candidates to 77 candidates (52.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1451146
Fresh112
Picked101
Done011
Total1473150

Merged error: 0b

Counts
150 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
0.2b
(/ 1 (cbrt (pow (/ (+ 1.0 (sqrt (+ x 1.0))) x) 3)))
0.3b
(pow (/ (+ 1.0 (sqrt (+ x 1.0))) x) 3)
37.1b
(cbrt (pow (/ (+ 1.0 (sqrt (+ x 1.0))) x) 3))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
279×times-frac
241×*-un-lft-identity
190×cbrt-prod
161×add-sqr-sqrt add-cube-cbrt
96×unpow-prod-down cube-prod
44×associate-/r*
40×distribute-lft-out
14×div-inv
13×add-exp-log
10×add-cbrt-cube
7×associate-/l*
6×pow1 cube-mult unpow3 sqr-pow
4×div-exp add-log-exp
3×cbrt-undiv cube-div pow-unpow
2×cbrt-div pow-flip frac-2neg pow1/3 pow-exp clear-num associate-/l/ rem-cube-cbrt
1×pow-to-exp rec-exp pow-pow flip3-+ 1-exp associate-/r/ rem-cbrt-cube flip-+ inv-pow
Counts
4 → 318
Calls
4 calls:
8.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
17.0ms
(/ 1 (cbrt (pow (/ (+ 1.0 (sqrt (+ x 1.0))) x) 3)))
9.0ms
(pow (/ (+ 1.0 (sqrt (+ x 1.0))) x) 3)
10.0ms
(cbrt (pow (/ (+ 1.0 (sqrt (+ x 1.0))) x) 3))

series555.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
184.0ms
(/ 1 (cbrt (pow (/ (+ 1.0 (sqrt (+ x 1.0))) x) 3)))
176.0ms
(pow (/ (+ 1.0 (sqrt (+ x 1.0))) x) 3)
107.0ms
(cbrt (pow (/ (+ 1.0 (sqrt (+ x 1.0))) x) 3))

simplify129.0ms

Algorithm
egg-herbie
Counts
330 → 330
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
08683733
142442974
250012955

prune313.0ms

Filtered
330 candidates to 118 candidates (35.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New3300330
Fresh011
Picked011
Done011
Total3303333

Merged error: 0b

Counts
333 → 3

regimes18.0ms

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

sample319.0ms

Algorithm
intervals
Results
152.0ms7998×body80valid
49.0ms2703×body80nan
0.0ms2×body1280valid

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