Details

Time bar (total: 5.5s)

analyze1.1s (19.8%)

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
0%99.9%0.1%5
0%99.9%0.1%6
0%99.9%0.1%7
0%99.9%0.1%8
0%96.7%3.3%9
16.4%74.9%8.7%10
17.6%71.8%10.7%11
26.3%59.5%14.2%12
30.7%45.7%23.5%13
31.7%43.5%24.7%14

sample46.0ms (0.8%)

Algorithm
1×intervals
Results
18.0ms256×body80valid
12.0ms182×body80invalid

simplify456.0ms (8.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
0564529

prune9.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 13.2b

Counts
2 → 1

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

2.5b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.7b
(* (* (* w w) r) r)
6.2b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
9.1b
(* (* w w) r)

rewrite66.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
92×add-exp-log add-cbrt-cube
57×prod-exp cbrt-unprod
50×pow1
33×pow-prod-down
13×add-sqr-sqrt
12×*-un-lft-identity
9×cbrt-undiv div-exp
8×add-cube-cbrt
7×associate-*r*
5×times-frac associate-/r*
4×associate-*r/ associate-*l/ add-log-exp
3×flip3-- associate-*l* *-commutative flip--
2×associate-/r/ associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 119
Calls

4 calls:

32.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
12.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
8.0ms
(* (* w w) r)
7.0ms
(* (* (* w w) r) r)

series63.0ms (1.1%)

Counts
4 → 12
Calls

4 calls:

23.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
22.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
11.0ms
(* (* w w) r)
6.0ms
(* (* (* w w) r) r)

simplify39.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
052421907

prune290.0ms (5.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1229131
Fresh000
Picked101
Done000
Total1239132

Merged error: 2.4b

Counts
132 → 9

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b
(* (fabs (* w r)) (fabs (* w r)))
0.8b
(/ 2.0 (* r r))
2.5b
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
6.2b
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite35.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
41×add-exp-log add-cbrt-cube
23×pow1
18×add-sqr-sqrt prod-exp cbrt-unprod
16×*-un-lft-identity
12×add-cube-cbrt
9×pow-prod-down
8×times-frac
7×cbrt-undiv div-exp
6×associate-/r*
4×associate-*r/ associate-*r* associate-*l* associate-*l/ associate-/l* add-log-exp
3×flip3-- swap-sqr flip--
2×frac-2neg clear-num associate-/r/ *-commutative div-inv associate-/l/ distribute-lft-out-- difference-of-squares
1×pow2 pow-plus pow-sqr pow-prod-up unswap-sqr
Counts
4 → 105
Calls

4 calls:

13.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))
9.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
4.0ms
(/ 2.0 (* r r))
3.0ms
(* (fabs (* w r)) (fabs (* w r)))

series41.0ms (0.7%)

Counts
4 → 12
Calls

4 calls:

22.0ms
(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))
13.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
3.0ms
(* (fabs (* w r)) (fabs (* w r)))
3.0ms
(/ 2.0 (* r r))

simplify30.0ms (0.5%)

Algorithm
1×egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
051611469

prune313.0ms (5.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New10512117
Fresh628
Picked101
Done000
Total11214126

Merged error: 0.0b

Counts
126 → 14

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(/ (pow (fabs (* w r)) 2) (- 1.0 v))
0.4b
(pow (fabs (* w r)) 2)
0.8b
(/ 2.0 (* r r))
4.5b
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

rewrite40.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
83×times-frac
82×add-sqr-sqrt *-un-lft-identity
48×add-cube-cbrt
46×associate-*r*
39×add-exp-log
36×unpow-prod-down
23×add-cbrt-cube
17×distribute-lft-out-- difference-of-squares
13×prod-exp
12×unpow2 sqr-pow
11×div-exp associate-/l*
10×pow1
7×cbrt-unprod
6×associate-/r*
5×cbrt-undiv associate-*r/
4×pow-to-exp flip3-- pow-exp associate-/r/ flip-- add-log-exp
3×pow-unpow pow-prod-down div-inv
2×frac-times frac-2neg associate-*l/ clear-num
1×pow-pow associate-*l* *-commutative
Counts
4 → 182
Calls

4 calls:

17.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))
9.0ms
(/ (pow (fabs (* w r)) 2) (- 1.0 v))
5.0ms
(/ 2.0 (* r r))
2.0ms
(pow (fabs (* w r)) 2)

series42.0ms (0.7%)

Counts
4 → 12
Calls

4 calls:

21.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))
14.0ms
(/ (pow (fabs (* w r)) 2) (- 1.0 v))
3.0ms
(pow (fabs (* w r)) 2)
3.0ms
(/ 2.0 (* r r))

simplify55.0ms (1%)

Algorithm
1×egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049752916
149752916

prune508.0ms (9.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1877194
Fresh7613
Picked101
Done000
Total19513208

Merged error: 0.0b

Counts
208 → 13

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(/ (pow (fabs (* w r)) 2) (- 1.0 v))
0.2b
(/ (/ 2.0 r) r)
0.4b
(pow (fabs (* w r)) 2)
4.5b
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

rewrite42.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
155×times-frac
122×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
46×associate-*r*
39×add-exp-log
36×unpow-prod-down
23×add-cbrt-cube
21×associate-/l*
17×distribute-lft-out-- difference-of-squares
12×div-exp prod-exp unpow2 sqr-pow
10×pow1
8×associate-/r*
7×div-inv
6×cbrt-undiv cbrt-unprod
5×associate-*r/
4×pow-to-exp flip3-- pow-exp associate-/r/ flip-- add-log-exp
3×pow-unpow pow-prod-down
2×frac-times frac-2neg associate-*l/ clear-num
1×pow-pow associate-*l* *-commutative associate-/l/
Counts
4 → 231
Calls

4 calls:

18.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))
7.0ms
(/ (pow (fabs (* w r)) 2) (- 1.0 v))
6.0ms
(/ (/ 2.0 r) r)
2.0ms
(pow (fabs (* w r)) 2)

series42.0ms (0.7%)

Counts
4 → 12
Calls

4 calls:

21.0ms
(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))
15.0ms
(/ (pow (fabs (* w r)) 2) (- 1.0 v))
3.0ms
(pow (fabs (* w r)) 2)
3.0ms
(/ (/ 2.0 r) r)

simplify50.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
243 → 243
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
053263509

prune664.0ms (12%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New2412243
Fresh11112
Picked011
Done000
Total24214256

Merged error: 0.0b

Counts
256 → 14

regimes390.0ms (7%)

Accuracy

Total 0.3b remaining (76.4%)

Threshold costs 0.3b (76.4%)

bsearch0.0ms (0%)

simplify10.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
038928
138928

end0.0ms (0%)

sample1.1s (20.6%)

Algorithm
1×intervals
Results
540.0ms8000×body80valid
324.0ms4909×body80invalid

Profiling

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