Details

Time bar (total: 6.0s)

sample152.0ms

Algorithm
intervals
Results
72.0ms29×body2560valid
39.0ms64×body1280valid
10.0ms31×body640valid
7.0ms131×body80valid
3.0ms16×body320valid
1.0ms5×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
011214
111214

prune22.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.9b

Counts
2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
2.6b
(/ (tan (* PI l)) (* F F))
32.4b
(tan (* PI l))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×add-exp-log add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
8×pow1
6×associate-*r* associate-*l*
4×add-log-exp
3×times-frac prod-exp cbrt-unprod associate-/l*
2×tan-quot cbrt-undiv div-exp pow-prod-down *-commutative unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv associate-/l/
Counts
4 → 66
Calls
4 calls:
4.0ms
(* PI l)
4.0ms
(* PI l)
7.0ms
(/ (tan (* PI l)) (* F F))
4.0ms
(tan (* PI l))

series47.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* PI l)
3.0ms
(* PI l)
22.0ms
(/ (tan (* PI l)) (* F F))
20.0ms
(tan (* PI l))

simplify52.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05070541

prune162.0ms

Filtered
53 candidates to 78 candidates (-47.2%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New611778
Fresh011
Picked101
Done000
Total621880

Merged error: 15.4b

Counts
80 → 18

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.3b
(* PI l)
0.3b
(* PI l)
32.4b
(tan (* PI l))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
9×times-frac
8×pow1
6×associate-*r* associate-*l*
4×add-log-exp
3×associate-/r* associate-/l*
2×tan-quot pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×cbrt-undiv frac-2neg div-exp clear-num div-inv associate-/l/
Counts
4 → 72
Calls
4 calls:
5.0ms
(/ (tan (* PI l)) F)
4.0ms
(* PI l)
4.0ms
(* PI l)
2.0ms
(tan (* PI l))

series34.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (tan (* PI l)) F)
3.0ms
(* PI l)
3.0ms
(* PI l)
9.0ms
(tan (* PI l))

simplify64.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05017594

prune150.0ms

Filtered
59 candidates to 84 candidates (-42.4%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New79584
Fresh21517
Picked101
Done000
Total8220102

Merged error: 15.4b

Counts
102 → 20

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.3b
(* PI l)
0.3b
(* PI l)
32.4b
(tan (* PI l))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
9×times-frac
8×pow1
6×associate-*r* associate-*l*
4×add-log-exp
3×associate-/r* associate-/l*
2×tan-quot pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×cbrt-undiv frac-2neg div-exp clear-num div-inv associate-/l/
Counts
4 → 72
Calls
4 calls:
5.0ms
(/ (tan (* PI l)) F)
4.0ms
(* PI l)
4.0ms
(* PI l)
2.0ms
(tan (* PI l))

series32.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (tan (* PI l)) F)
3.0ms
(* PI l)
3.0ms
(* PI l)
9.0ms
(tan (* PI l))

simplify65.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05017594

prune141.0ms

Filtered
59 candidates to 84 candidates (-42.4%)
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New84084
Fresh01919
Picked011
Done000
Total8420104

Merged error: 15.4b

Counts
104 → 20

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt F)
0.5b
(cbrt F)
0.5b
(cbrt F)
32.4b
(tan (* PI l))

rewrite8.0ms

Algorithm
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:
2.0ms
(cbrt F)
1.0ms
(cbrt F)
1.0ms
(cbrt F)
2.0ms
(tan (* PI l))

series85.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt F)
24.0ms
(cbrt F)
25.0ms
(cbrt F)
9.0ms
(tan (* PI l))

simplify40.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05205239

prune63.0ms

Filtered
39 candidates to 53 candidates (-35.9%)
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New51253
Fresh31518
Picked011
Done011
Total541973

Merged error: 15.4b

Counts
73 → 19

regimes656.0ms

Accuracy

0% (0.3b remaining)

Error of 12.6b against oracle of 12.4b and baseline of 12.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01616
11616

end0.0ms

sample4.1s

Algorithm
intervals
Results
2.1s870×body2560valid
1.1s1701×body1280valid
249.0ms924×body640valid
248.0ms4557×body80valid
70.0ms397×body320valid
23.0ms192×body160valid
2.0ms3×body5120exit

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