Details

Time bar (total: 8.0s)

analyze863.0ms

Algorithm
search

sample158.0ms

Algorithm
intervals
Results
98.0ms31×body2560valid
28.0ms47×body1280valid
10.0ms37×body640valid
6.0ms119×body80valid
3.0ms17×body320valid
1.0ms5×body160valid
0.0ms8×body80invalid
0.0ms1×body1280invalid

simplify375.0ms

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: 18.3b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.3b
(/ 1.0 (* F F))
4.6b
(* (/ 1.0 (* F F)) (tan (* PI l)))
31.9b
(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))

series61.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
3.0ms
(/ 1.0 (* F F))
38.0ms
(* (/ 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

prune173.0ms

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

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New741589
Fresh000
Picked101
Done000
Total751590

Merged error: 13.4b

Counts
90 → 15

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)))
31.9b
(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))

series36.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
23.0ms
(* (/ 1.0 F) (tan (* PI l)))
9.0ms
(tan (* PI l))

simplify84.0ms

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

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New82890
Fresh31114
Picked101
Done000
Total8619105

Merged error: 13.3b

Counts
105 → 19

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
0.2b
(/ (tan (* PI l)) F)
31.9b
(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))

series30.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
16.0ms
(/ (tan (* PI l)) F)
8.0ms
(tan (* PI l))

simplify62.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0203349
1665322
22201322
35001322

prune143.0ms

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

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New81384
Fresh21618
Picked101
Done000
Total8419103

Merged error: 13.3b

Counts
103 → 19

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* PI l))
0.6b
(cbrt (* PI l))
0.6b
(cbrt (* PI l))
31.7b
(tan (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×cbrt-prod pow1/3
1×tan-quot
Counts
4 → 35
Calls
4 calls:
2.0ms
(cbrt (* PI l))
2.0ms
(cbrt (* PI l))
2.0ms
(cbrt (* PI l))
4.0ms
(tan (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

series85.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt (* PI l))
25.0ms
(cbrt (* PI l))
25.0ms
(cbrt (* PI l))
11.0ms
(tan (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

simplify96.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
0117292
1251255
2741223
32926217
45002217

prune66.0ms

Filtered
36 candidates to 47 candidates (-30.6%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New41647
Fresh11718
Picked101
Done000
Total432366

Merged error: 13.3b

Counts
66 → 23

regimes756.0ms

Accuracy

0% (0.9b remaining)

Error of 13.0b against oracle of 12.1b and baseline of 13.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02313
12313

end0.0ms

analyze656.0ms

Algorithm
search

sample4.1s

Algorithm
intervals
Results
2.4s810×body2560valid
944.0ms1652×body1280valid
260.0ms964×body640valid
191.0ms4012×body80valid
64.0ms382×body320valid
22.0ms180×body160valid
9.0ms165×body80invalid
6.0ms3×body2560invalid
2.0ms4×body1280invalid
1.0ms2×body5120exit

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