Details

Time bar (total: 6.6s)

sample353.0ms

Algorithm
intervals
Results
83.0ms28×body2560valid
31.0ms57×body1280valid
9.0ms27×body640valid
7.0ms133×body80valid
2.0ms14×body320valid
1.0ms10×body160valid

simplify469.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
067114
167114

prune12.0ms

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: 15.1b

Counts
2 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
4.2b
(/ (tan (* PI l)) (* F F))
31.3b
(tan (* PI l))

rewrite19.0ms

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:
3.0ms
(* PI l)
3.0ms
(* PI l)
6.0ms
(/ (tan (* PI l)) (* F F))
3.0ms
(tan (* PI l))

series44.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
20.0ms
(/ (tan (* PI l)) (* F F))
19.0ms
(tan (* PI l))

simplify51.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05225541

prune147.0ms

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

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New611778
Fresh101
Picked101
Done000
Total631780

Merged error: 10.7b

Counts
80 → 17

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.3b
(* PI l)
0.3b
(* PI l)
31.3b
(tan (* PI l))

rewrite14.0ms

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

series28.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(/ (tan (* PI l)) F)
2.0ms
(* PI l)
2.0ms
(* PI l)
8.0ms
(tan (* PI l))

simplify68.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04715594
14715594

prune138.0ms

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

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New78684
Fresh31316
Picked011
Done000
Total8120101

Merged error: 10.7b

Counts
101 → 20

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ F (tan (* PI l)))
0.3b
(* PI l)
0.3b
(* PI l)
31.3b
(tan (* PI l))

rewrite14.0ms

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 associate-/r/ div-inv
Counts
4 → 72
Calls
4 calls:
4.0ms
(/ F (tan (* PI l)))
3.0ms
(* PI l)
4.0ms
(* PI l)
2.0ms
(tan (* PI l))

series41.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ F (tan (* PI l)))
2.0ms
(* PI l)
2.0ms
(* PI l)
8.0ms
(tan (* PI l))

simplify59.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04709583
14709583

prune122.0ms

Filtered
60 candidates to 84 candidates (-40.0%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New83184
Fresh61218
Picked101
Done011
Total9014104

Merged error: 5.9b

Counts
104 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI (* l (* F -1/3)))
0.3b
(* F -1/3)
0.3b
(/ 1 (* F (+ (/ F (* PI l)) (* PI (* l (* F -1/3))))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
22×add-cbrt-cube
20×pow1
15×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity prod-exp
9×associate-*l* pow-prod-down cbrt-unprod
7×associate-*r*
4×div-exp add-log-exp
3×times-frac *-commutative associate-/l*
2×cbrt-undiv rec-exp pow-flip 1-exp associate-*r/ associate-/r/ unswap-sqr
1×frac-2neg flip3-+ clear-num associate-/r* flip-+ div-inv inv-pow
Counts
4 → 87
Calls
4 calls:
3.0ms
(* PI l)
7.0ms
(* PI (* l (* F -1/3)))
4.0ms
(* F -1/3)
11.0ms
(/ 1 (* F (+ (/ F (* PI l)) (* PI (* l (* F -1/3))))))

series30.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
5.0ms
(* PI (* l (* F -1/3)))
4.0ms
(* F -1/3)
19.0ms
(/ 1 (* F (+ (/ F (* PI l)) (* PI (* l (* F -1/3))))))

simplify51.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05194917

prune97.0ms

Filtered
59 candidates to 99 candidates (-67.8%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New92799
Fresh21012
Picked101
Done011
Total9518113

Merged error: 5.8b

Counts
113 → 18

regimes486.0ms

Accuracy

0% (0.5b remaining)

Error of 8.5b against oracle of 8.1b and baseline of 8.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07823
17823

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.5s846×body2560valid
959.0ms1680×body1280valid
250.0ms934×body640valid
220.0ms4523×body80valid
71.0ms419×body320valid
25.0ms219×body160valid
3.0ms8×body5120exit

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