Details

Time bar (total: 11.1s)

sample2.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 2.746582%

Guaranteed chance to sample good point: 46.400778%

Results
100.0ms35×body2560valid
28.0ms45×body1280valid
9.0ms33×body640valid
6.0ms120×body80valid
2.0ms10×body320valid
2.0ms13×body160valid
0.0ms8×body80invalid

simplify362.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1397
2767
31147
41377
51447
61447

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.8b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.3b
(/ 1.0 (* F F))
3.6b
(* (/ 1.0 (* F F)) (tan (* PI l)))
31.8b
(tan (* PI l))

rewrite31.0ms

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:
3.0ms
(* PI l)
13.0ms
(/ 1.0 (* F F))
8.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms
(tan (* PI l))

series46.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
3.0ms
(/ 1.0 (* F F))
23.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
18.0ms
(tan (* PI l))

simplify41.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0323443
11416374
25001374

prune159.0ms

Filtered
61 candidates to 89 candidates (-45.9%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New731689
Fresh000
Picked101
Done000
Total741690

Merged error: 15.1b

Counts
90 → 16

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
0.4b
(* (/ 1.0 F) (tan (* PI l)))
31.8b
(tan (* PI l))

rewrite17.0ms

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)
3.0ms
(* PI l)
6.0ms
(* (/ 1.0 F) (tan (* PI l)))
2.0ms
(tan (* PI l))

series36.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
21.0ms
(* (/ 1.0 F) (tan (* PI l)))
10.0ms
(tan (* PI l))

simplify82.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0277382
11009342
23834341
35001341

prune168.0ms

Filtered
64 candidates to 90 candidates (-40.6%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New801090
Fresh51015
Picked101
Done000
Total8620106

Merged error: 15.0b

Counts
106 → 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)
31.8b
(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:
3.0ms
(* PI l)
3.0ms
(* PI l)
4.0ms
(/ (tan (* PI l)) F)
2.0ms
(tan (* PI l))

series31.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
18.0ms
(/ (tan (* PI l)) F)
8.0ms
(tan (* PI l))

simplify60.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203349
1665322
22201322
35001322

prune130.0ms

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

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New82284
Fresh31619
Picked101
Done000
Total8618104

Merged error: 15.0b

Counts
104 → 18

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(/ 1 (/ F (tan (* PI l))))
0.2b
(/ F (tan (* PI l)))
31.8b
(tan (* PI l))

rewrite20.0ms

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:
3.0ms
(* PI l)
6.0ms
(/ 1 (/ F (tan (* PI l))))
4.0ms
(/ F (tan (* PI l)))
2.0ms
(tan (* PI l))

series59.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
19.0ms
(/ 1 (/ F (tan (* PI l))))
29.0ms
(/ F (tan (* PI l)))
8.0ms
(tan (* PI l))

simplify46.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04461026
11852919
25001834

prune114.0ms

Filtered
85 candidates to 146 candidates (-71.8%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1433146
Fresh71017
Picked101
Done000
Total15113164

Merged error: 8.5b

Counts
164 → 13

regimes409.0ms

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
02312
12312

end0.0ms

sample6.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 2.746582%

Guaranteed chance to sample good point: 46.400778%

Results
2.5s840×body2560valid
988.0ms1698×body1280valid
250.0ms909×body640valid
201.0ms3921×body80valid
77.0ms439×body320valid
23.0ms193×body160valid
18.0ms352×body80invalid
3.0ms6×body1280invalid
2.0ms1×body2560invalid
1.0ms1×body5120exit

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