Details

Time bar (total: 6.5s)

sample335.0ms

Algorithm
intervals
Results
224.0ms48×body1280valid
73.0ms25×body2560valid
8.0ms29×body640valid
8.0ms149×body80valid
3.0ms11×body160valid
2.0ms9×body320valid

simplify467.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
011214
111214

prune13.0ms

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: 15.8b

Counts
2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
4.6b
(/ (tan (* PI l)) (* F F))
27.9b
(tan (* PI l))

rewrite27.0ms

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))

series45.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
21.0ms
(/ (tan (* PI l)) (* F F))
20.0ms
(tan (* PI l))

simplify65.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05070541

prune149.0ms

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

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New631578
Fresh101
Picked101
Done000
Total651580

Merged error: 11.1b

Counts
80 → 15

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.2b
(* PI l)
0.2b
(* PI l)
27.9b
(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))

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))

simplify75.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
05017594

prune144.0ms

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

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New75984
Fresh6814
Picked011
Done000
Total811899

Merged error: 11.0b

Counts
99 → 18

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
0.4b
(/ 1 (* F (/ F (tan (* PI l)))))
27.9b
(tan (* PI l))

rewrite17.0ms

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:
3.0ms
(* 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))

simplify63.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04927592
14927592

prune125.0ms

Filtered
51 candidates to 89 candidates (-74.5%)
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New88189
Fresh11516
Picked011
Done011
Total8918107

Merged error: 11.0b

Counts
107 → 18

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ F (tan (* PI l)))
0.2b
(* PI l)
0.2b
(* PI l)
27.9b
(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)
3.0ms
(* PI l)
2.0ms
(tan (* PI l))

series39.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ F (tan (* PI l)))
2.0ms
(* PI l)
2.0ms
(* PI l)
8.0ms
(tan (* PI l))

simplify65.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04830583
14830583

prune92.0ms

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

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New81384
Fresh8715
Picked101
Done022
Total9012102

Merged error: 7.0b

Counts
102 → 12

regimes384.0ms

Accuracy

0% (0.4b remaining)

Error of 8.3b against oracle of 7.8b and baseline of 8.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02323
12323

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.5s816×body2560valid
947.0ms1617×body1280valid
260.0ms935×body640valid
236.0ms4562×body80valid
70.0ms396×body320valid
27.0ms229×body160valid
1.0ms3×body5120exit

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