Details

Time bar (total: 6.5s)

sample355.0ms

Algorithm
intervals
Results
220.0ms56×body1280valid
97.0ms29×body2560valid
11.0ms39×body640valid
7.0ms134×body80valid
2.0ms12×body320valid
1.0ms6×body160valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1397
2767
31147
41377
51447
61447

prune4.0ms

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: 18.8b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.5b
(/ 1.0 (* F F))
4.6b
(* (/ 1.0 (* F F)) (tan (* PI l)))
32.1b
(tan (* PI l))

rewrite23.0ms

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))
10.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms
(tan (* PI l))

series48.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* PI l)
3.0ms
(/ 1.0 (* F F))
24.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
17.0ms
(tan (* PI l))

simplify48.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0323443
11416374
25001374

prune159.0ms

Filtered
89 candidates to 61 candidates (31.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New771289
Fresh000
Picked101
Done000
Total781290

Merged error: 13.9b

Counts
90 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.3b
(* (/ 1.0 F) (tan (* PI l)))
32.1b
(tan (* PI l))

rewrite18.0ms

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)
21.0ms
(* (/ 1.0 F) (tan (* PI l)))
9.0ms
(tan (* PI l))

simplify83.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0277382
11009342
23834341
35001341

prune170.0ms

Filtered
90 candidates to 64 candidates (28.9%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New801090
Fresh2911
Picked101
Done000
Total8319102

Merged error: 13.8b

Counts
102 → 19

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))
0.3b
(* PI l)
0.3b
(* PI l)
32.1b
(tan (* PI l))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
29×add-cbrt-cube
22×prod-exp
19×add-sqr-sqrt associate-*l*
15×add-cube-cbrt *-un-lft-identity
13×pow1
12×cbrt-unprod
10×div-exp
9×times-frac
7×associate-*r*
5×cbrt-undiv pow-prod-down
4×add-log-exp
3×rec-exp 1-exp associate-*r/ *-commutative
2×unswap-sqr
1×tan-quot frac-times associate-*l/ div-inv
Counts
4 → 89
Calls
4 calls:
10.0ms
(* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))
3.0ms
(* PI l)
5.0ms
(* PI l)
2.0ms
(tan (* PI l))

series36.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))
2.0ms
(* PI l)
2.0ms
(* PI l)
9.0ms
(tan (* PI l))

simplify55.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0406553
12199441
25002434

prune149.0ms

Filtered
101 candidates to 61 candidates (39.6%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New992101
Fresh21618
Picked011
Done000
Total10119120

Merged error: 13.8b

Counts
120 → 19

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 F))
0.6b
(cbrt (/ 1 F))
0.6b
(cbrt (/ 1 F))
32.1b
(tan (* PI l))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×cbrt-div pow1/3 div-inv
1×tan-quot
Counts
4 → 74
Calls
4 calls:
2.0ms
(cbrt (/ 1 F))
2.0ms
(cbrt (/ 1 F))
3.0ms
(cbrt (/ 1 F))
2.0ms
(tan (* PI l))

series78.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt (/ 1 F))
24.0ms
(cbrt (/ 1 F))
24.0ms
(cbrt (/ 1 F))
9.0ms
(tan (* PI l))

simplify112.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 4 (106.0ms)

IterNodesCost
0163475
1370443
21028404
33566320
45001317

prune122.0ms

Filtered
86 candidates to 51 candidates (40.7%)
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New83386
Fresh11617
Picked101
Done011
Total8520105

Merged error: 13.7b

Counts
105 → 20

regimes597.0ms

Accuracy

0% (0.2b remaining)

Error of 12.4b against oracle of 12.2b and baseline of 12.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0178
1178

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.5s833×body2560valid
950.0ms1679×body1280valid
260.0ms969×body640valid
218.0ms4486×body80valid
68.0ms399×body320valid
23.0ms207×body160valid
2.0ms4×body5120exit

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