Details

Time bar (total: 2.1s)

analyze2.0ms

Algorithm
search

sample12.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

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: 0.2b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
5.0ms
(+ 1.0 (sqrt (+ x 1.0)))
7.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series20.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ 1.0 (sqrt (+ x 1.0)))
16.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify45.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0405483
11775452
25003451

prune96.0ms

Filtered
40 candidates to 51 candidates (-27.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New49251
Fresh000
Picked011
Done000
Total49352

Merged error: 0b

Counts
52 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* 1.0 1.0) (+ x 1.0)) (* 1.0 (sqrt (+ x 1.0))))
0.2b
(/ x (/ (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (- (+ (* 1.0 1.0) (+ x 1.0)) (* 1.0 (sqrt (+ x 1.0))))))
0.2b
(pow (sqrt (+ x 1.0)) 3)
6.1b
(/ (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (- (+ (* 1.0 1.0) (+ x 1.0)) (* 1.0 (sqrt (+ x 1.0)))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
277×*-un-lft-identity
246×times-frac
113×add-sqr-sqrt add-cube-cbrt
82×distribute-lft-out
71×unpow-prod-down cube-prod
40×associate-/r*
31×associate-/r/
26×flip3-+ sqrt-div flip-+
24×associate-*r/ frac-sub
16×sum-cubes
13×add-log-exp
12×add-exp-log add-cbrt-cube associate-/l*
8×sqrt-prod
6×pow1 flip3-- flip-- div-inv
4×cbrt-undiv div-exp
3×pow-unpow pow-pow diff-log sum-log
2×cube-div frac-2neg clear-num associate-/l/
1×cube-mult pow-to-exp sub-neg sqrt-pow1 pow1/2 unpow3 pow-exp associate--l+ sqrt-pow2 rem-cube-cbrt sqr-pow
Counts
4 → 280
Calls
4 calls:
9.0ms
(- (+ (* 1.0 1.0) (+ x 1.0)) (* 1.0 (sqrt (+ x 1.0))))
28.0ms
(/ x (/ (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (- (+ (* 1.0 1.0) (+ x 1.0)) (* 1.0 (sqrt (+ x 1.0))))))
5.0ms
(pow (sqrt (+ x 1.0)) 3)
25.0ms
(/ (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (- (+ (* 1.0 1.0) (+ x 1.0)) (* 1.0 (sqrt (+ x 1.0)))))

series59.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (+ (* 1.0 1.0) (+ x 1.0)) (* 1.0 (sqrt (+ x 1.0))))
28.0ms
(/ x (/ (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (- (+ (* 1.0 1.0) (+ x 1.0)) (* 1.0 (sqrt (+ x 1.0))))))
9.0ms
(pow (sqrt (+ x 1.0)) 3)
18.0ms
(/ (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (- (+ (* 1.0 1.0) (+ x 1.0)) (* 1.0 (sqrt (+ x 1.0)))))

simplify92.0ms

Algorithm
egg-herbie
Counts
292 → 292
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
016906552
150016361

prune920.0ms

Filtered
174 candidates to 292 candidates (-67.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2920292
Fresh011
Picked011
Done011
Total2923295

Merged error: 0b

Counts
295 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (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)))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
65×*-un-lft-identity
53×add-sqr-sqrt
52×times-frac
37×add-cube-cbrt
35×sqrt-prod
30×associate-*r*
14×distribute-lft-out
10×add-exp-log add-cbrt-cube
6×associate-*l* associate-/l* unswap-sqr
5×pow1 add-log-exp
4×associate-/r* associate-/r/
3×flip3-+ flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv
1×+-commutative frac-2neg associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
3 → 116
Calls
3 calls:
5.0ms
(+ 1.0 (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:
4.0ms
(+ 1.0 (sqrt (+ x 1.0)))
27.0ms
(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
17.0ms
(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

simplify92.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
08041392
140011275
250011253

prune172.0ms

Filtered
79 candidates to 125 candidates (-58.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1250125
Fresh000
Picked011
Done022
Total1253128

Merged error: 0b

Counts
128 → 3

regimes63.0ms

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

analyze2.0ms

Algorithm
search

sample297.0ms

Algorithm
intervals
Results
210.0ms7997×body80valid
0.0ms3×body1280valid

Profiling

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