Details

Time bar (total: 1.7s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms71×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
088
188

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

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
14×add-sqr-sqrt
13×add-cube-cbrt
12×times-frac
6×distribute-lft-out
5×add-exp-log add-cbrt-cube add-log-exp
4×pow1 associate-/r* sqrt-prod
3×flip3-+ flip-+ associate-/l*
2×sqrt-div associate-/r/
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp clear-num sum-log div-inv
Counts
3 → 61
Calls
3 calls:
3.0ms
(sqrt (+ x 1.0))
5.0ms
(+ 1.0 (sqrt (+ x 1.0)))
7.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series28.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(sqrt (+ x 1.0))
4.0ms
(+ 1.0 (sqrt (+ x 1.0)))
20.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify37.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
055491021

prune114.0ms

Filtered
52 candidates to 70 candidates (-34.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New67370
Fresh000
Picked101
Done000
Total68371

Merged error: 0b

Counts
71 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
31×add-sqr-sqrt
26×times-frac
23×add-cube-cbrt
18×associate-*r*
17×add-exp-log
11×add-cbrt-cube
9×distribute-lft-out
8×pow1
6×add-log-exp
4×flip3-+ div-exp prod-exp associate-/r* sqrt-prod associate-/r/ flip-+
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp sqrt-div 1-exp cbrt-unprod div-inv
1×+-commutative rem-sqrt-square pow-flip frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative inv-pow
Counts
4 → 106
Calls
4 calls:
3.0ms
(sqrt (+ x 1.0))
5.0ms
(+ 1.0 (sqrt (+ x 1.0)))
11.0ms
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))
7.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))

series36.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (+ x 1.0))
4.0ms
(+ 1.0 (sqrt (+ x 1.0)))
15.0ms
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))
13.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))

simplify45.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
054431663

prune175.0ms

Filtered
82 candidates to 118 candidates (-43.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1171118
Fresh112
Picked011
Done000
Total1183121

Merged error: 0b

Counts
121 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ 1 (+ 1.0 (sqrt (+ 1.0 x)))))
0.0b
(+ 1.0 (sqrt (+ 1.0 x)))
0.1b
(/ 1 (+ 1.0 (sqrt (+ 1.0 x))))
3.8b
(log (exp (/ 1 (+ 1.0 (sqrt (+ 1.0 x))))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
36×exp-prod times-frac
30×add-sqr-sqrt add-cube-cbrt
19×log-pow
11×distribute-lft-out
8×add-exp-log
7×add-log-exp
6×pow1 associate-/r/ add-cbrt-cube
4×flip3-+ associate-/r* flip-+
3×log-prod div-inv associate-/l*
2×div-exp
1×cbrt-undiv +-commutative rec-exp pow-flip frac-2neg 1-exp rem-log-exp clear-num sum-log rem-exp-log inv-pow
Counts
4 → 105
Calls
4 calls:
8.0ms
(exp (/ 1 (+ 1.0 (sqrt (+ 1.0 x)))))
7.0ms
(+ 1.0 (sqrt (+ 1.0 x)))
7.0ms
(/ 1 (+ 1.0 (sqrt (+ 1.0 x))))
9.0ms
(log (exp (/ 1 (+ 1.0 (sqrt (+ 1.0 x))))))

series47.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(exp (/ 1 (+ 1.0 (sqrt (+ 1.0 x)))))
4.0ms
(+ 1.0 (sqrt (+ 1.0 x)))
11.0ms
(/ 1 (+ 1.0 (sqrt (+ 1.0 x))))
11.0ms
(log (exp (/ 1 (+ 1.0 (sqrt (+ 1.0 x))))))

simplify58.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049672106
149672106

prune243.0ms

Filtered
84 candidates to 117 candidates (-39.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh011
Picked011
Done011
Total1173120

Merged error: 0b

Counts
120 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
56×add-sqr-sqrt
52×times-frac
39×add-cube-cbrt sqrt-prod
30×associate-*r*
15×distribute-lft-out
11×add-exp-log add-cbrt-cube
7×pow1
6×associate-*l* associate-/l* add-log-exp unswap-sqr
4×flip3-+ associate-/r* associate-/r/ flip-+
2×cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod div-inv
1×+-commutative rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
4 → 132
Calls
4 calls:
3.0ms
(sqrt (+ x 1.0))
8.0ms
(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
5.0ms
(+ 1.0 (sqrt (+ x 1.0)))
16.0ms
(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

series52.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (+ x 1.0))
26.0ms
(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
4.0ms
(+ 1.0 (sqrt (+ x 1.0)))
18.0ms
(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

simplify40.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
053792323

prune187.0ms

Filtered
93 candidates to 144 candidates (-54.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1440144
Fresh000
Picked011
Done022
Total1443147

Merged error: 0b

Counts
147 → 3

regimes28.0ms

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
01210
11210

end0.0ms

sample448.0ms

Algorithm
intervals
Results
219.0ms7997×body80valid
70.0ms2588×body80nan
0.0ms3×body1280valid

Profiling

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