Details

Time bar (total: 7.5s)

sample434.0ms

Algorithm
intervals
Results
99.0ms33×body2560valid
27.0ms45×body1280valid
10.0ms29×body640valid
8.0ms158×body80valid
3.0ms14×body320valid
0.0ms3×body160valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0187
1397
2767
31147
41377
51447
61447

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.5b

Counts
2 → 1

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.6b
(/ 1.0 (* F F))
3.3b
(* (/ 1.0 (* F F)) (tan (* PI l)))
28.2b
(tan (* PI l))

rewrite24.0ms

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))

series253.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* PI l)
24.0ms
(/ 1.0 (* F F))
130.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
77.0ms
(tan (* PI l))

simplify42.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0323443
11416374
25001374

prune204.0ms

Filtered
89 candidates to 61 candidates (68.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New781189
Fresh000
Picked101
Done000
Total791190

Merged error: 13.1b

Counts
90 → 11

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)))
28.2b
(tan (* PI l))

rewrite21.0ms

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)
6.0ms
(* PI l)
7.0ms
(* (/ 1.0 F) (tan (* PI l)))
2.0ms
(tan (* PI l))

series221.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI l)
19.0ms
(* PI l)
124.0ms
(* (/ 1.0 F) (tan (* PI l)))
60.0ms
(tan (* PI l))

simplify88.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0277382
11009342
23834341
35001341

prune222.0ms

Filtered
90 candidates to 64 candidates (71.1%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New781290
Fresh2810
Picked101
Done000
Total8120101

Merged error: 13.0b

Counts
101 → 20

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.3b
(/ (* 1.0 (sin (* PI l))) (* F (cos (* PI l))))
27.7b
(cos (* PI l))
27.8b
(sin (* PI l))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×pow1 add-cube-cbrt *-un-lft-identity
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp add-log-exp
3×associate-*r* associate-*l*
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 53
Calls
4 calls:
4.0ms
(* PI l)
8.0ms
(/ (* 1.0 (sin (* PI l))) (* F (cos (* PI l))))
2.0ms
(cos (* PI l))
2.0ms
(sin (* PI l))

series174.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI l)
114.0ms
(/ (* 1.0 (sin (* PI l))) (* F (cos (* PI l))))
19.0ms
(cos (* PI l))
22.0ms
(sin (* PI l))

simplify44.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0335403
11657314
25001314

prune192.0ms

Filtered
65 candidates to 43 candidates (66.2%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New61465
Fresh31619
Picked101
Done000
Total652085

Merged error: 8.0b

Counts
85 → 20

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt l)
0.6b
(cbrt l)
27.8b
(sin (* PI l))
28.4b
(cos (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log add-cbrt-cube add-log-exp
2×pow1/3
Counts
4 → 36
Calls
4 calls:
1.0ms
(cbrt l)
1.0ms
(cbrt l)
2.0ms
(sin (* PI l))
4.0ms
(cos (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

series400.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt l)
173.0ms
(cbrt l)
22.0ms
(sin (* PI l))
31.0ms
(cos (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

simplify88.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0148217
1491191
22196187
35002182

prune146.0ms

Filtered
48 candidates to 40 candidates (83.3%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New47148
Fresh01919
Picked101
Done000
Total482068

Merged error: 8.0b

Counts
68 → 20

regimes505.0ms

Accuracy

84.9% (0.7b remaining)

Error of 8.6b against oracle of 7.9b and baseline of 12.7b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06844
16844

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.5s835×body2560valid
1.0s1691×body1280valid
268.0ms942×body640valid
250.0ms4565×body80valid
80.0ms427×body320valid
24.0ms192×body160valid
2.0ms4×body5120exit

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