Details

Time bar (total: 1.5s)

analyze70.0ms (4.5%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
37.5%62.4%0.1%6
56.2%43.7%0.1%7
65.6%34.3%0.1%8
76.5%23.4%0.1%9
82%18%0.1%10
87.8%12.1%0.1%11
90.7%9.2%0.1%12
93.8%6.1%0.1%13
95.3%4.6%0.1%14

sample11.0ms (0.7%)

Algorithm
1×intervals
Results
4.0ms252×body80valid
0.0ms1×body2560valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms2×body80invalid
0.0ms1×body160valid

simplify7.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
01725
11725

prune4.0ms (0.3%)

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 (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(* 500.0 (- x y))

rewrite6.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
7×add-sqr-sqrt
5×*-un-lft-identity associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×distribute-rgt-in flip3-- distribute-lft-in pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 24
Calls

1 calls:

6.0ms
(* 500.0 (- x y))

series4.0ms (0.3%)

Counts
1 → 3
Calls

1 calls:

4.0ms
(* 500.0 (- x y))

simplify63.0ms (4.1%)

Algorithm
1×egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04952172
14952172

prune48.0ms (3.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New24327
Fresh000
Picked011
Done000
Total24428

Merged error: 0.0b

Counts
28 → 4

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.3b
(* (sqrt 500.0) (* (- x y) (sqrt 500.0)))
0.4b
(* (- x y) (sqrt 500.0))

rewrite19.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
13×add-sqr-sqrt
11×associate-*l*
9×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
7×add-cube-cbrt associate-*r* sqrt-prod
4×pow-prod-down associate-*l/ prod-exp cbrt-unprod
2×flip3-- associate-*r/ *-commutative flip-- add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls

2 calls:

11.0ms
(* (sqrt 500.0) (* (- x y) (sqrt 500.0)))
7.0ms
(* (- x y) (sqrt 500.0))

series16.0ms (1%)

Counts
2 → 6
Calls

2 calls:

9.0ms
(* (sqrt 500.0) (* (- x y) (sqrt 500.0)))
6.0ms
(* (- x y) (sqrt 500.0))

simplify34.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05254392

prune95.0ms (6.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New54155
Fresh022
Picked011
Done011
Total54559

Merged error: 0b

Counts
59 → 5

localize14.0ms (0.9%)

Local error

Found 3 expressions with local error:

0.0b
(* (- x y) (* (sqrt 500.0) (sqrt (cbrt 500.0))))
0.3b
(* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (* (- x y) (* (sqrt 500.0) (sqrt (cbrt 500.0)))))
1.0b
(* (cbrt 500.0) (cbrt 500.0))

rewrite35.0ms (2.2%)

Algorithm
1×rewrite-expression-head
Rules
24×pow1
23×add-sqr-sqrt
19×add-exp-log
17×add-cbrt-cube
16×cbrt-prod
15×*-un-lft-identity associate-*l*
13×add-cube-cbrt
11×pow-prod-down
10×prod-exp cbrt-unprod
8×associate-*r*
6×pow1/3 swap-sqr
4×associate-*l/ unswap-sqr
3×*-commutative add-log-exp
2×flip3-- associate-*r/ pow-sqr pow-prod-up flip--
1×pow2 pow-plus sqrt-prod distribute-lft-out-- difference-of-squares
Counts
3 → 86
Calls

3 calls:

16.0ms
(* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (* (- x y) (* (sqrt 500.0) (sqrt (cbrt 500.0)))))
10.0ms
(* (- x y) (* (sqrt 500.0) (sqrt (cbrt 500.0))))
5.0ms
(* (cbrt 500.0) (cbrt 500.0))

series31.0ms (2%)

Counts
3 → 7
Calls

3 calls:

17.0ms
(* (sqrt (* (cbrt 500.0) (cbrt 500.0))) (* (- x y) (* (sqrt 500.0) (sqrt (cbrt 500.0)))))
14.0ms
(* (- x y) (* (sqrt 500.0) (sqrt (cbrt 500.0))))
0.0ms
(* (cbrt 500.0) (cbrt 500.0))

simplify45.0ms (2.9%)

Algorithm
1×egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05303875

prune253.0ms (16.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New92193
Fresh202
Picked011
Done022
Total94498

Merged error: 0b

Counts
98 → 4

localize15.0ms (1%)

Local error

Found 3 expressions with local error:

0.0b
(* (- x y) (* (sqrt 500.0) (sqrt (cbrt 500.0))))
0.3b
(* (sqrt (pow 500.0 2/3)) (* (- x y) (* (sqrt 500.0) (sqrt (cbrt 500.0)))))
1.6b
(pow 500.0 2/3)

rewrite28.0ms (1.8%)

Algorithm
1×rewrite-expression-head
Rules
18×pow1 add-exp-log
17×add-cbrt-cube
15×associate-*l*
11×add-sqr-sqrt *-un-lft-identity
9×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
7×sqrt-prod
6×unpow-prod-down
4×associate-*l/
3×pow-unpow add-log-exp
2×flip3-- associate-*r/ associate-*r* *-commutative flip-- sqr-pow
1×pow-to-exp pow-pow pow-exp distribute-lft-out-- difference-of-squares
Counts
3 → 69
Calls

3 calls:

14.0ms
(* (sqrt (pow 500.0 2/3)) (* (- x y) (* (sqrt 500.0) (sqrt (cbrt 500.0)))))
11.0ms
(* (- x y) (* (sqrt 500.0) (sqrt (cbrt 500.0))))
2.0ms
(pow 500.0 2/3)

series46.0ms (3%)

Counts
3 → 7
Calls

3 calls:

33.0ms
(* (sqrt (pow 500.0 2/3)) (* (- x y) (* (sqrt 500.0) (sqrt (cbrt 500.0)))))
13.0ms
(* (- x y) (* (sqrt 500.0) (sqrt (cbrt 500.0))))
0.0ms
(pow 500.0 2/3)

simplify33.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
04955838
14955838

prune185.0ms (12%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New76076
Fresh000
Picked011
Done033
Total76480

Merged error: 0b

Counts
80 → 4

regimes159.0ms (10.3%)

Accuracy

Total 0.0b remaining (89%)

Threshold costs 0.0b (89%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0165
1165

end0.0ms (0%)

sample311.0ms (20.1%)

Algorithm
1×intervals
Results
163.0ms7964×body80valid
1.0ms69×body80invalid
1.0ms13×body1280valid
1.0ms5×body2560valid
0.0ms6×body640valid
0.0ms9×body320valid
0.0ms3×body160valid

Profiling

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