Details

Time bar (total: 5.6s)

sample326.0ms

Algorithm
intervals
Results
213.0ms46×body1280valid
58.0ms19×body2560valid
8.0ms149×body80valid
6.0ms24×body640valid
3.0ms19×body320valid
1.0ms7×body160valid

simplify276.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0187
1397
2767
31147
41377
51447
61447

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.3b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.4b
(/ 1.0 (* F F))
4.5b
(* (/ 1.0 (* F F)) (tan (* PI l)))
26.7b
(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))

series45.0ms

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)))
17.0ms
(tan (* PI l))

simplify50.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0323443
11416374
25001374

prune133.0ms

Filtered
89 candidates to 61 candidates (31.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New81889
Fresh000
Picked101
Done000
Total82890

Merged error: 7.5b

Counts
90 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
0.3b
(* (/ 1.0 F) (tan (* PI l)))
26.7b
(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)
20.0ms
(* (/ 1.0 F) (tan (* PI l)))
11.0ms
(tan (* PI l))

simplify84.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0277382
11009342
23834341
35001341

prune155.0ms

Filtered
90 candidates to 64 candidates (28.9%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New771390
Fresh347
Picked101
Done000
Total811798

Merged error: 7.4b

Counts
98 → 17

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.2b
(* PI l)
0.2b
(* PI l)
26.7b
(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))

series30.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (tan (* PI l)) F)
2.0ms
(* PI l)
2.0ms
(* PI l)
8.0ms
(tan (* PI l))

simplify62.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203349
1665322
22201322
35001322

prune128.0ms

Filtered
84 candidates to 60 candidates (28.6%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New81384
Fresh31316
Picked101
Done000
Total8516101

Merged error: 7.4b

Counts
101 → 16

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt F)
0.6b
(cbrt F)
0.6b
(cbrt F)
26.7b
(tan (* PI l))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×pow1/3
1×tan-quot
Counts
4 → 41
Calls
4 calls:
1.0ms
(cbrt F)
1.0ms
(cbrt F)
1.0ms
(cbrt F)
2.0ms
(tan (* PI l))

series75.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt F)
23.0ms
(cbrt F)
23.0ms
(cbrt F)
8.0ms
(tan (* PI l))

simplify95.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
0117208
1251191
2747161
32966158
45001158

prune59.0ms

Filtered
53 candidates to 42 candidates (20.8%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New52153
Fresh11415
Picked011
Done000
Total531669

Merged error: 7.4b

Counts
69 → 16

regimes470.0ms

Accuracy

0% (0.3b remaining)

Error of 8.7b against oracle of 8.4b and baseline of 8.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02013
12013

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.7s581×body2560valid
876.0ms1635×body1280valid
261.0ms995×body640valid
222.0ms4523×body80valid
81.0ms469×body320valid
28.0ms240×body160valid
2.0ms3×body5120exit

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