Details

Time bar (total: 1.4s)

analyze2.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
75%25%0%3
87.5%12.5%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14

sample10.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0435
1435

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
6.0ms
(+ x (/ 1.0 3.0))

series2.0ms

Counts
1 → 3
Calls
1 calls:
2.0ms
(+ x (/ 1.0 3.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
05036108

prune25.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316

Merged error: 0.0b

Counts
16 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x (/ 1.0 3.0)))
0.0b
(+ x (/ 1.0 3.0))
0.0b
(+ x (/ 1.0 3.0))
0.2b
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
30×sqrt-prod
26×add-sqr-sqrt
20×pow1
14×sqrt-div
13×add-cube-cbrt
11×swap-sqr
9×sqrt-pow1 flip3-+ pow1/2 flip-+ distribute-lft-out
8×add-log-exp
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-*r/ associate-*l/ sum-log
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
6.0ms
(sqrt (+ x (/ 1.0 3.0)))
6.0ms
(+ x (/ 1.0 3.0))
6.0ms
(+ x (/ 1.0 3.0))
17.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series10.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (+ x (/ 1.0 3.0)))
2.0ms
(+ x (/ 1.0 3.0))
2.0ms
(+ x (/ 1.0 3.0))
2.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify56.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049411003
149411003

prune145.0ms

Filtered
62 candidates to 114 candidates (-83.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1122114
Fresh011
Picked101
Done011
Total1134117

Merged error: 0b

Counts
117 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (+ x (/ 1.0 3.0))))
0.1b
(sqrt (sqrt (+ x (/ 1.0 3.0))))
0.1b
(* (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (sqrt (sqrt (+ x (/ 1.0 3.0)))))
0.3b
(pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
121×sqrt-prod
74×add-sqr-sqrt
39×*-un-lft-identity
36×sqrt-div
29×unpow-prod-down cube-prod
26×associate-*l*
25×add-cube-cbrt
24×unswap-sqr
12×pow1 sqrt-pow1
10×add-exp-log associate-*r*
9×flip3-+ flip-+
8×cube-div
7×add-cbrt-cube distribute-lft-out
6×pow1/2
5×pow-pow sqr-pow
4×frac-times rem-sqrt-square add-log-exp
3×pow-unpow prod-exp
2×cube-mult pow-to-exp unpow3 associate-*r/ associate-*l/ pow-exp
1×pow-plus *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 170
Calls
4 calls:
6.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
6.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
22.0ms
(* (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (sqrt (sqrt (+ x (/ 1.0 3.0)))))
11.0ms
(pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)

series26.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
6.0ms
(sqrt (sqrt (+ x (/ 1.0 3.0))))
2.0ms
(* (pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3) (sqrt (sqrt (+ x (/ 1.0 3.0)))))
12.0ms
(pow (sqrt (sqrt (+ x (/ 1.0 3.0)))) 3)

simplify77.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049122098
149122098

prune262.0ms

Filtered
87 candidates to 182 candidates (-109.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1820182
Fresh022
Picked011
Done011
Total1824186

Merged error: 0b

Counts
186 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0))))
0.0b
(- x (/ 1.0 3.0))
15.6b
(/ (- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0)))) (- x (/ 1.0 3.0)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
24×*-un-lft-identity
23×times-frac
14×add-cube-cbrt
10×difference-of-squares
7×add-log-exp
6×associate-/r*
5×add-exp-log add-cbrt-cube distribute-lft-out--
4×flip3-- flip--
3×pow1 associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 69
Calls
3 calls:
4.0ms
(- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0))))
8.0ms
(- x (/ 1.0 3.0))
11.0ms
(/ (- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0)))) (- x (/ 1.0 3.0)))

series13.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0))))
2.0ms
(- x (/ 1.0 3.0))
7.0ms
(/ (- (* x x) (* 1.0 (/ 1.0 (* 3.0 3.0)))) (- x (/ 1.0 3.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049811497
149811497

prune131.0ms

Filtered
61 candidates to 78 candidates (-27.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh011
Picked011
Done022
Total78482

Merged error: 0b

Counts
82 → 4

regimes67.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0225
1225

end0.0ms

sample334.0ms

Algorithm
intervals
Results
203.0ms8000×body80valid

Profiling

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