Details

Time bar (total: 7.6s)

analyze913.0ms (12.1%)

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
18.7%81.2%0.1%7
18.7%81.2%0.1%8
29.7%69.5%0.9%9
30.4%67.9%1.7%10
36.3%61.1%2.6%11
36.9%59.5%3.6%12
39.9%55.9%4.2%13
40.2%54.9%4.9%14

sample151.0ms (2%)

Algorithm
1×intervals
Results
88.0ms27×body2560valid
32.0ms55×body1280valid
9.0ms34×body640valid
7.0ms119×body80valid
2.0ms14×body320valid
1.0ms7×body160valid
0.0ms7×body80invalid

simplify482.0ms (6.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
067114
167114

prune8.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.0b

Counts
2 → 1

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.7b
(/ 1.0 (* F F))
3.5b
(* (/ 1.0 (* F F)) (tan (* PI l)))
31.6b
(tan (* PI l))

rewrite23.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
17×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*l*
8×pow1
7×times-frac
6×associate-*r* prod-exp cbrt-unprod
4×cbrt-undiv div-exp add-log-exp
3×tan-quot associate-/l* unswap-sqr
2×pow-prod-down *-commutative div-inv
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r*
Counts
4 → 77
Calls

4 calls:

9.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
4.0ms
(/ 1.0 (* F F))
3.0ms
(* PI l)
3.0ms
(tan (* PI l))

series64.0ms (0.8%)

Counts
4 → 12
Calls

4 calls:

40.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
18.0ms
(tan (* PI l))
3.0ms
(/ 1.0 (* F F))
2.0ms
(* PI l)

simplify55.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05076722

prune194.0ms (2.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New761389
Fresh000
Picked101
Done000
Total771390

Merged error: 12.3b

Counts
90 → 13

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.4b
(* (tan (* PI l)) (/ 1.0 F))
31.6b
(tan (* PI l))

rewrite19.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
25×add-sqr-sqrt
19×associate-*r*
16×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
10×pow1 times-frac
9×associate-*l*
4×prod-exp cbrt-unprod add-log-exp unswap-sqr
3×tan-quot pow-prod-down *-commutative
1×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ div-inv
Counts
4 → 78
Calls

4 calls:

8.0ms
(* (tan (* PI l)) (/ 1.0 F))
4.0ms
(* PI l)
3.0ms
(* PI l)
2.0ms
(tan (* PI l))

series32.0ms (0.4%)

Counts
4 → 12
Calls

4 calls:

18.0ms
(* (tan (* PI l)) (/ 1.0 F))
9.0ms
(tan (* PI l))
2.0ms
(* PI l)
2.0ms
(* PI l)

simplify46.0ms (0.6%)

Algorithm
1×egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04946657
14946657

prune197.0ms (2.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New82890
Fresh3912
Picked101
Done000
Total8617103

Merged error: 12.2b

Counts
103 → 17

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt l)
0.6b
(cbrt l)
0.6b
(cbrt l)
31.7b
(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

rewrite8.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×pow1/3
1×tan-quot
Counts
4 → 41
Calls

4 calls:

3.0ms
(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))
1.0ms
(cbrt l)
1.0ms
(cbrt l)
1.0ms
(cbrt l)

series86.0ms (1.1%)

Counts
4 → 12
Calls

4 calls:

26.0ms
(cbrt l)
25.0ms
(cbrt l)
23.0ms
(cbrt l)
12.0ms
(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

simplify34.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
04960241
14960241

prune141.0ms (1.9%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New51253
Fresh01616
Picked011
Done000
Total511970

Merged error: 12.2b

Counts
70 → 19

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt l))
0.6b
(cbrt (cbrt l))
0.6b
(cbrt (cbrt l))
31.4b
(tan (* (* PI (* (cbrt l) (cbrt l))) (* (* (cbrt (cbrt l)) (cbrt (cbrt l))) (cbrt (cbrt l)))))

rewrite12.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
27×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×pow1/3
1×tan-quot
Counts
4 → 50
Calls

4 calls:

5.0ms
(tan (* (* PI (* (cbrt l) (cbrt l))) (* (* (cbrt (cbrt l)) (cbrt (cbrt l))) (cbrt (cbrt l)))))
2.0ms
(cbrt (cbrt l))
2.0ms
(cbrt (cbrt l))
2.0ms
(cbrt (cbrt l))

series109.0ms (1.4%)

Counts
4 → 12
Calls

4 calls:

34.0ms
(cbrt (cbrt l))
32.0ms
(cbrt (cbrt l))
31.0ms
(cbrt (cbrt l))
12.0ms
(tan (* (* PI (* (cbrt l) (cbrt l))) (* (* (cbrt (cbrt l)) (cbrt (cbrt l))) (cbrt (cbrt l)))))

simplify50.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05038370

prune103.0ms (1.4%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New59362
Fresh21517
Picked011
Done101
Total621981

Merged error: 12.2b

Counts
81 → 19

regimes657.0ms (8.7%)

Accuracy

Total 0.6b remaining (4.7%)

Threshold costs 0.6b (4.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010532
110532

end0.0ms (0%)

sample4.1s (54.4%)

Algorithm
1×intervals
Results
2.4s797×body2560valid
967.0ms1653×body1280valid
264.0ms994×body640valid
200.0ms3937×body80valid
69.0ms388×body320valid
27.0ms231×body160valid
11.0ms194×body80invalid
3.0ms7×body5120exit
2.0ms1×body2560invalid
2.0ms4×body1280invalid

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