Details

Time bar (total: 10.4s)

sample2.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 48.248291%

Results
66.0ms21×body2560valid
33.0ms60×body1280valid
7.0ms150×body80valid
7.0ms27×body640valid
2.0ms9×body320valid
1.0ms8×body160valid

simplify370.0ms

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: 16.3b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.5b
(/ 1.0 (* F F))
4.9b
(* (/ 1.0 (* F F)) (tan (* PI l)))
29.3b
(tan (* PI l))

rewrite22.0ms

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

series67.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
3.0ms
(/ 1.0 (* F F))
22.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
39.0ms
(tan (* PI l))

simplify40.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0323443
11416374
25001374

prune152.0ms

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

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New771289
Fresh000
Picked101
Done000
Total781290

Merged error: 11.1b

Counts
90 → 12

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)))
29.3b
(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)
7.0ms
(* (/ 1.0 F) (tan (* PI l)))
2.0ms
(tan (* PI l))

series35.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
23.0ms
(* (/ 1.0 F) (tan (* PI l)))
8.0ms
(tan (* PI l))

simplify82.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0277382
11009342
23834341
35001341

prune156.0ms

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

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New771390
Fresh7411
Picked101
Done000
Total8517102

Merged error: 11.0b

Counts
102 → 17

localize16.0ms

Local error

Found 4 expressions with local error:

7.7b
(cbrt (* (/ 1.0 F) (tan (* PI l))))
29.3b
(tan (* PI l))
29.3b
(tan (* PI l))
29.3b
(tan (* PI l))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
5×tan-quot
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×cbrt-div
1×cbrt-prod frac-times pow1/3 associate-*r/ associate-*l/
Counts
4 → 36
Calls
4 calls:
4.0ms
(cbrt (* (/ 1.0 F) (tan (* PI l))))
2.0ms
(tan (* PI l))
2.0ms
(tan (* PI l))
2.0ms
(tan (* PI l))

series74.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(cbrt (* (/ 1.0 F) (tan (* PI l))))
8.0ms
(tan (* PI l))
8.0ms
(tan (* PI l))
8.0ms
(tan (* PI l))

simplify51.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0175301
1443275
21635267
35002259

prune145.0ms

Filtered
41 candidates to 48 candidates (-17.1%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New47148
Fresh01616
Picked011
Done000
Total471865

Merged error: 11.0b

Counts
65 → 18

localize20.0ms

Local error

Found 4 expressions with local error:

7.7b
(cbrt (* (/ 1.0 F) (tan (* PI l))))
29.3b
(tan (* PI l))
29.3b
(tan (* PI l))
29.3b
(tan (* PI l))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
5×tan-quot
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×cbrt-div
1×cbrt-prod frac-times pow1/3 associate-*r/ associate-*l/
Counts
4 → 36
Calls
4 calls:
5.0ms
(cbrt (* (/ 1.0 F) (tan (* PI l))))
2.0ms
(tan (* PI l))
2.0ms
(tan (* PI l))
2.0ms
(tan (* PI l))

series72.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(cbrt (* (/ 1.0 F) (tan (* PI l))))
8.0ms
(tan (* PI l))
8.0ms
(tan (* PI l))
8.0ms
(tan (* PI l))

simplify49.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0175301
1443275
21635267
35002259

prune94.0ms

Filtered
41 candidates to 48 candidates (-17.1%)
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New48048
Fresh01616
Picked011
Done011
Total481866

Merged error: 11.0b

Counts
66 → 18

regimes509.0ms

Accuracy

0% (0.4b remaining)

Error of 12.5b against oracle of 12.1b and baseline of 12.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02121
12121

end0.0ms

sample6.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 48.248291%

Results
2.3s784×body2560valid
988.0ms1712×body1280valid
263.0ms973×body640valid
229.0ms4525×body80valid
71.0ms416×body320valid
25.0ms211×body160valid
2.0ms4×body5120exit

Profiling

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