Details

Time bar (total: 8.1s)

analyze870.0ms

Algorithm
search

sample140.0ms

Algorithm
intervals
Results
76.0ms25×body2560valid
35.0ms54×body1280valid
8.0ms28×body640valid
6.0ms132×body80valid
2.0ms12×body320valid
1.0msbody160valid
0.0msbody80invalid

simplify380.0ms

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: 17.6b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.5b
(/ 1.0 (* F F))
4.1b
(* (/ 1.0 (* F F)) (tan (* PI l)))
29.0b
(tan (* PI l))

rewrite32.0ms

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*
pow1
times-frac
associate-*r* prod-exp cbrt-unprod
cbrt-undiv div-exp add-log-exp
tan-quot associate-/l* unswap-sqr
pow-prod-down *-commutative div-inv
frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r*
Counts
4 → 77
Calls
4 calls:
3.0ms
(* PI l)
14.0ms
(/ 1.0 (* F F))
9.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms
(tan (* PI l))

series49.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
3.0ms
(/ 1.0 (* F F))
25.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
19.0ms
(tan (* PI l))

simplify40.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0323443
11416374
25001374

prune164.0ms

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

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New751489
Fresh000
Picked101
Done000
Total761490

Merged error: 13.3b

Counts
90 → 14

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)))
29.0b
(tan (* PI l))

rewrite19.0ms

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
associate-*r*
prod-exp cbrt-unprod add-log-exp unswap-sqr
tan-quot pow-prod-down *-commutative
cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ div-inv
Counts
4 → 78
Calls
4 calls:
5.0ms
(* 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)
22.0ms
(* (/ 1.0 F) (tan (* PI l)))
8.0ms
(tan (* PI l))

simplify83.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0277382
11009342
23834341
35001341

prune172.0ms

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

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New801090
Fresh11213
Picked101
Done000
Total8222104

Merged error: 13.2b

Counts
104 → 22

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.2b
(* PI l)
0.2b
(* PI l)
29.0b
(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
times-frac
pow1
associate-*r* associate-*l*
add-log-exp
associate-/r* associate-/l*
tan-quot pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
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))

series31.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (tan (* PI l)) F)
2.0ms
(* PI l)
2.0ms
(* PI l)
9.0ms
(tan (* PI l))

simplify61.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0203349
1665322
22201322
35001322

prune158.0ms

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

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New81384
Fresh12021
Picked011
Done000
Total8224106

Merged error: 13.2b

Counts
106 → 24

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt F)
0.6b
(cbrt F)
0.6b
(cbrt F)
29.0b
(tan (* PI l))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log add-cbrt-cube add-log-exp
pow1/3
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))

series81.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt F)
22.0ms
(cbrt F)
25.0ms
(cbrt F)
9.0ms
(tan (* PI l))

simplify96.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
0117208
1251191
2747161
32966158
45001158

prune65.0ms

Filtered
42 candidates to 53 candidates (-26.2%)
Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New50353
Fresh22022
Picked011
Done011
Total522577

Merged error: 13.2b

Counts
77 → 25

regimes707.0ms

Accuracy

0% (0.3b remaining)

Error of 12.8b against oracle of 12.5b and baseline of 12.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0178
1178

end0.0ms

analyze658.0ms

Algorithm
search

sample4.2s

Algorithm
intervals
Results
2.4s812×body2560valid
966.0ms1670×body1280valid
262.0ms967×body640valid
196.0ms3991×body80valid
63.0ms356×body320valid
23.0ms204×body160valid
11.0ms210×body80invalid
7.0msbody2560invalid
3.0msbody1280invalid
2.0msbody5120exit

Profiling

Loading profile data...