Details

Time bar (total: 6.4s)

sample298.0ms

Algorithm
intervals
Results
48.0ms16×body2560valid
30.0ms56×body1280valid
10.0ms28×body640valid
8.0ms165×body80valid
2.0ms11×body320valid
0.0ms3×body160valid

simplify445.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
011214
111214

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: 15.7b

Counts
2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
5.8b
(/ (tan (* PI l)) (* F F))
26.6b
(tan (* PI l))

rewrite20.0ms

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)
7.0ms
(/ (tan (* PI l)) (* F F))
3.0ms
(tan (* PI l))

series49.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
19.0ms
(/ (tan (* PI l)) (* F F))
25.0ms
(tan (* PI l))

simplify61.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05070541

prune152.0ms

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

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New601878
Fresh011
Picked101
Done000
Total611980

Merged error: 9.7b

Counts
80 → 19

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.2b
(* PI l)
0.2b
(* PI l)
26.6b
(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)
3.0ms
(* PI l)
2.0ms
(tan (* PI l))

series29.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ (tan (* PI l)) F)
2.0ms
(* PI l)
2.0ms
(* PI l)
8.0ms
(tan (* PI l))

simplify78.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
05017594

prune134.0ms

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

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New80484
Fresh41418
Picked011
Done000
Total8419103

Merged error: 9.7b

Counts
103 → 19

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
0.5b
(/ 1 (* F (/ F (tan (* PI l)))))
26.6b
(tan (* PI l))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log
17×add-cbrt-cube
14×add-sqr-sqrt
11×pow1
10×add-cube-cbrt *-un-lft-identity
9×div-exp
8×prod-exp
6×associate-*r* associate-*l*
4×cbrt-undiv cbrt-unprod add-log-exp
3×rec-exp times-frac 1-exp pow-prod-down associate-/l*
2×pow-flip *-commutative unswap-sqr
1×tan-quot frac-2neg associate-*r/ clear-num associate-/r* associate-/r/ div-inv inv-pow
Counts
4 → 77
Calls
4 calls:
4.0ms
(* PI l)
3.0ms
(* PI l)
7.0ms
(/ 1 (* F (/ F (tan (* PI l)))))
2.0ms
(tan (* PI l))

series32.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
19.0ms
(/ 1 (* F (/ F (tan (* PI l)))))
8.0ms
(tan (* PI l))

simplify59.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04927592
14927592

prune116.0ms

Filtered
52 candidates to 89 candidates (-71.2%)
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New88189
Fresh11617
Picked011
Done011
Total8919108

Merged error: 9.7b

Counts
108 → 19

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (* F (/ F (tan (* (sqrt PI) (* l (sqrt PI)))))))
1.0b
(sqrt PI)
1.0b
(sqrt PI)
26.8b
(tan (* (sqrt PI) (* l (sqrt PI))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
13×add-cbrt-cube
10×add-sqr-sqrt
9×pow1 div-exp
8×add-cube-cbrt *-un-lft-identity
6×prod-exp sqrt-prod
4×cbrt-undiv add-log-exp
3×rec-exp times-frac 1-exp associate-/l*
2×rem-sqrt-square pow-flip sqrt-pow1 pow1/2 cbrt-unprod
1×tan-quot frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* associate-/r/ div-inv inv-pow
Counts
4 → 67
Calls
4 calls:
8.0ms
(/ 1 (* F (/ F (tan (* (sqrt PI) (* l (sqrt PI)))))))
1.0ms
(sqrt PI)
2.0ms
(sqrt PI)
3.0ms
(tan (* (sqrt PI) (* l (sqrt PI))))

series28.0ms

Counts
4 → 8
Calls
4 calls:
19.0ms
(/ 1 (* F (/ F (tan (* (sqrt PI) (* l (sqrt PI)))))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
8.0ms
(tan (* (sqrt PI) (* l (sqrt PI))))

simplify47.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04953530
14953530

prune67.0ms

Filtered
47 candidates to 75 candidates (-59.6%)
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New74175
Fresh01616
Picked011
Done022
Total742094

Merged error: 9.7b

Counts
94 → 20

regimes429.0ms

Accuracy

0% (0.3b remaining)

Error of 12.5b against oracle of 12.2b and baseline of 12.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
11214

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.5s826×body2560valid
981.0ms1743×body1280valid
249.0ms938×body640valid
219.0ms4498×body80valid
63.0ms372×body320valid
24.0ms207×body160valid
2.0ms5×body5120exit

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