Details

Time bar (total: 6.7s)

sample405.0ms

Algorithm
intervals
Results
92.0ms30×body2560valid
23.0ms40×body1280valid
9.0ms164×body80valid
6.0ms23×body640valid
2.0ms16×body320valid
1.0ms5×body160valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1397
2767
31147
41377
51447
61447

prune5.0ms

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: 16.4b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.4b
(/ 1.0 (* F F))
4.6b
(* (/ 1.0 (* F F)) (tan (* PI l)))
26.1b
(tan (* PI l))

rewrite25.0ms

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))
11.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms
(tan (* PI l))

series266.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI l)
24.0ms
(/ 1.0 (* F F))
134.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
88.0ms
(tan (* PI l))

simplify45.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0323443
11416374
25001374

prune208.0ms

Filtered
89 candidates to 61 candidates (68.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New771289
Fresh000
Picked101
Done000
Total781290

Merged error: 11.8b

Counts
90 → 12

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)))
26.1b
(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))

series230.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI l)
24.0ms
(* PI l)
121.0ms
(* (/ 1.0 F) (tan (* PI l)))
65.0ms
(tan (* PI l))

simplify86.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0277382
11009342
23834341
35001341

prune215.0ms

Filtered
90 candidates to 64 candidates (71.1%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New81990
Fresh4711
Picked101
Done000
Total8616102

Merged error: 11.7b

Counts
102 → 16

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
0.3b
(/ (tan (* PI l)) F)
26.1b
(tan (* PI l))

rewrite18.0ms

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)
7.0ms
(* PI l)
4.0ms
(/ (tan (* PI l)) F)
2.0ms
(tan (* PI l))

series206.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI l)
19.0ms
(* PI l)
107.0ms
(/ (tan (* PI l)) F)
60.0ms
(tan (* PI l))

simplify64.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203349
1665322
22215322
35001322

prune189.0ms

Filtered
84 candidates to 60 candidates (71.4%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New84084
Fresh01515
Picked011
Done000
Total8416100

Merged error: 11.7b

Counts
100 → 16

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt PI) (* (sqrt PI) l))
1.0b
(sqrt PI)
1.0b
(sqrt PI)
26.3b
(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×add-exp-log sqrt-prod add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity
6×associate-*l*
4×add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×rem-sqrt-square sqrt-pow1 pow1/2
1×tan-quot associate-*r* *-commutative
Counts
4 → 55
Calls
4 calls:
7.0ms
(* (sqrt PI) (* (sqrt PI) l))
2.0ms
(sqrt PI)
1.0ms
(sqrt PI)
3.0ms
(tan (* (sqrt PI) (* (sqrt PI) l)))

series90.0ms

Counts
4 → 8
Calls
4 calls:
21.0ms
(* (sqrt PI) (* (sqrt PI) l))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
69.0ms
(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify156.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0150236
1482202
21448202
34933202
45002202

prune141.0ms

Filtered
63 candidates to 46 candidates (73.0%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New58563
Fresh31114
Picked101
Done011
Total621779

Merged error: 11.7b

Counts
79 → 17

regimes329.0ms

Accuracy

0% (0.3b remaining)

Error of 12.3b against oracle of 12.0b and baseline of 12.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0178
1178

end0.0ms

sample3.9s

Algorithm
intervals
Results
2.3s761×body2560valid
934.0ms1667×body1280valid
238.0ms959×body640valid
201.0ms4590×body80valid
65.0ms417×body320valid
25.0ms236×body160valid
2.0ms4×body10240exit

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