Details

Time bar (total: 4.0s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms71×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 3 expressions with local error:

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

rewrite17.0ms

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:
5.0ms
(+ 1.0 (sqrt (+ x 1.0)))
3.0ms
(sqrt (+ x 1.0))
7.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series491.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(+ 1.0 (sqrt (+ x 1.0)))
55.0ms
(sqrt (+ x 1.0))
360.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify49.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0460585
11938554
25002551

prune140.0ms

Filtered
70 candidates to 55 candidates (78.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New68270
Fresh000
Picked011
Done000
Total68371

Merged error: 0b

Counts
71 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.2b
(/ x (+ 1.0 (sqrt (+ x 1.0))))
0.2b
(pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3)
31.5b
(cbrt (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
81×*-un-lft-identity
60×times-frac
47×add-sqr-sqrt add-cube-cbrt
42×cbrt-prod
36×unpow-prod-down cube-prod
17×distribute-lft-out
10×associate-/r/
9×add-exp-log add-cbrt-cube
6×flip3-+ flip-+ add-log-exp
5×pow1 div-inv
4×associate-/r*
3×pow-unpow associate-/l*
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×+-commutative pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num sum-log rem-cbrt-cube
Counts
4 → 153
Calls
4 calls:
5.0ms
(+ 1.0 (sqrt (+ x 1.0)))
7.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))
9.0ms
(pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3)
10.0ms
(cbrt (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3))

series1.7s

Counts
4 → 12
Calls
4 calls:
71.0ms
(+ 1.0 (sqrt (+ x 1.0)))
384.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))
897.0ms
(pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3)
397.0ms
(cbrt (pow (/ x (+ 1.0 (sqrt (+ x 1.0)))) 3))

simplify126.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09471761
147541643
250011643

prune277.0ms

Filtered
165 candidates to 91 candidates (55.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1650165
Fresh011
Picked011
Done011
Total1653168

Merged error: 0b

Counts
168 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.0b
(* (/ x (- (- (* 1.0 1.0) x) 1.0)) (- 1.0 (sqrt (+ x 1.0))))
3.8b
(- (- (* 1.0 1.0) x) 1.0)
3.8b
(- 1.0 (sqrt (+ x 1.0)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
29×*-un-lft-identity
21×associate-*l*
16×times-frac
15×add-cube-cbrt
11×add-log-exp
9×add-exp-log add-cbrt-cube
8×difference-of-squares
7×pow1
6×associate-*r* sqrt-prod distribute-lft-out--
5×sub-neg flip3-- flip--
4×diff-log
2×distribute-rgt-in frac-times distribute-lft-in sqrt-div associate-*r/ prod-exp associate--l+ associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv associate--l- rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 div-exp pow-prod-down associate-*l/ *-commutative flip-+ div-inv distribute-lft-out
Counts
4 → 100
Calls
4 calls:
3.0ms
(sqrt (+ x 1.0))
18.0ms
(* (/ x (- (- (* 1.0 1.0) x) 1.0)) (- 1.0 (sqrt (+ x 1.0))))
7.0ms
(- (- (* 1.0 1.0) x) 1.0)
6.0ms
(- 1.0 (sqrt (+ x 1.0)))

series296.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(sqrt (+ x 1.0))
135.0ms
(* (/ x (- (- (* 1.0 1.0) x) 1.0)) (- 1.0 (sqrt (+ x 1.0))))
12.0ms
(- (- (* 1.0 1.0) x) 1.0)
93.0ms
(- 1.0 (sqrt (+ x 1.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0503941
12150875
25001866

prune205.0ms

Filtered
112 candidates to 82 candidates (73.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1120112
Fresh000
Picked011
Done022
Total1123115

Merged error: 0b

Counts
115 → 3

regimes32.0ms

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

sample398.0ms

Algorithm
intervals
Results
212.0ms7995×body80valid
67.0ms2653×body80nan
1.0ms5×body1280valid

Profiling

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