Details

Time bar (total: 7.3s)

sample413.0ms

Algorithm
intervals
Results
104.0ms34×body2560valid
29.0ms51×body1280valid
10.0ms36×body640valid
9.0ms140×body80valid
2.0ms13×body320valid
0.0ms1×body160valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1397
2767
31147
41377
51447
61447

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.6b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(/ 1.0 (* F F))
5.1b
(* (/ 1.0 (* F F)) (tan (* PI l)))
30.8b
(tan (* PI l))

rewrite38.0ms

Algorithm
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:
4.0ms
(* PI l)
5.0ms
(/ 1.0 (* F F))
9.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms
(tan (* PI l))

series253.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI l)
24.0ms
(/ 1.0 (* F F))
137.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
73.0ms
(tan (* PI l))

simplify48.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0323443
11416374
25001374

prune213.0ms

Filtered
89 candidates to 61 candidates (68.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New781189
Fresh000
Picked101
Done000
Total791190

Merged error: 12.5b

Counts
90 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
0.3b
(* (/ 1.0 F) (tan (* PI l)))
30.8b
(tan (* PI l))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
19×associate-*l*
16×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
10×pow1 times-frac
9×associate-*r*
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:
3.0ms
(* PI l)
4.0ms
(* PI l)
7.0ms
(* (/ 1.0 F) (tan (* PI l)))
2.0ms
(tan (* PI l))

series232.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI l)
25.0ms
(* PI l)
122.0ms
(* (/ 1.0 F) (tan (* PI l)))
66.0ms
(tan (* PI l))

simplify88.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0277382
11009342
23834341
35001341

prune239.0ms

Filtered
90 candidates to 64 candidates (71.1%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New771390
Fresh3710
Picked101
Done000
Total8120101

Merged error: 12.4b

Counts
101 → 20

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
0.2b
(/ (tan (* PI l)) F)
30.8b
(tan (* PI l))

rewrite15.0ms

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

series209.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI l)
19.0ms
(* PI l)
103.0ms
(/ (tan (* PI l)) F)
67.0ms
(tan (* PI l))

simplify64.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203349
1665322
22215322
35001322

prune214.0ms

Filtered
84 candidates to 60 candidates (71.4%)
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New83184
Fresh11819
Picked011
Done000
Total8420104

Merged error: 12.4b

Counts
104 → 20

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(/ F (tan (* PI l)))
0.6b
(/ 1 (/ F (tan (* PI l))))
30.8b
(tan (* PI l))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
59×add-sqr-sqrt
57×add-cube-cbrt *-un-lft-identity
19×add-exp-log
17×associate-/r*
13×add-cbrt-cube
8×div-exp
7×pow1
6×tan-quot associate-/r/ div-inv associate-/l*
4×cbrt-undiv add-log-exp
3×associate-*r* associate-*l*
2×rec-exp frac-2neg 1-exp clear-num
1×pow-flip pow-prod-down prod-exp *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
4 → 134
Calls
4 calls:
4.0ms
(* PI l)
4.0ms
(/ F (tan (* PI l)))
7.0ms
(/ 1 (/ F (tan (* PI l))))
5.0ms
(tan (* PI l))

series338.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* PI l)
138.0ms
(/ F (tan (* PI l)))
115.0ms
(/ 1 (/ F (tan (* PI l))))
60.0ms
(tan (* PI l))

simplify49.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04461028
11852921
25001836

prune242.0ms

Filtered
146 candidates to 86 candidates (58.9%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1433146
Fresh71118
Picked101
Done011
Total15115166

Merged error: 8.0b

Counts
166 → 15

regimes281.0ms

Accuracy

0% (0.4b 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 (0.0ms)

IterNodesCost
02312
12312

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.5s817×body2560valid
1.0s1719×body1280valid
269.0ms965×body640valid
230.0ms4462×body80valid
71.0ms390×body320valid
26.0ms214×body160valid
3.0ms7×body5120exit

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