Details

Time bar (total: 8.2s)

sample421.0ms

Algorithm
intervals
Results
92.0ms30×body2560valid
41.0ms57×body1280valid
10.0ms132×body80valid
9.0ms27×body640valid
4.0ms17×body320valid
1.0ms8×body160valid

simplify17.0ms

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 (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.5b
(/ 1.0 (* F F))
3.9b
(* (/ 1.0 (* F F)) (tan (* PI l)))
32.0b
(tan (* PI l))

rewrite42.0ms

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)
3.0ms
(/ 1.0 (* F F))
16.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms
(tan (* PI l))

series252.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI l)
24.0ms
(/ 1.0 (* F F))
137.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
72.0ms
(tan (* PI l))

simplify44.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0323443
11416374
25001374

prune220.0ms

Filtered
89 candidates to 61 candidates (68.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 12.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.3b
(* (/ (sqrt 1.0) F) (tan (* PI l)))
32.0b
(tan (* PI l))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
28×associate-*l*
22×add-cube-cbrt *-un-lft-identity
20×times-frac
13×add-exp-log add-cbrt-cube
10×pow1 sqrt-prod
9×associate-*r*
5×unswap-sqr
4×prod-exp cbrt-unprod add-log-exp
3×tan-quot pow-prod-down *-commutative
1×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ div-inv
Counts
4 → 88
Calls
4 calls:
3.0ms
(* PI l)
3.0ms
(* PI l)
15.0ms
(* (/ (sqrt 1.0) F) (tan (* PI l)))
2.0ms
(tan (* PI l))

series268.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI l)
19.0ms
(* PI l)
165.0ms
(* (/ (sqrt 1.0) F) (tan (* PI l)))
65.0ms
(tan (* PI l))

simplify97.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0297498
11061455
24012454
35002454

prune304.0ms

Filtered
100 candidates to 70 candidates (70.0%)
Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 12.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.3b
(* PI l)
0.3b
(* PI l)
32.0b
(tan (* PI l))

rewrite12.0ms

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
(/ (tan (* PI l)) F)
3.0ms
(* PI l)
3.0ms
(* PI l)
2.0ms
(tan (* PI l))

series204.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(/ (tan (* PI l)) F)
19.0ms
(* PI l)
19.0ms
(* PI l)
66.0ms
(tan (* PI l))

simplify62.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203349
1665322
22215322
35001322

prune268.0ms

Filtered
84 candidates to 60 candidates (71.4%)
Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 12.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (sqrt 1.0) F) (tan (* (sqrt PI) (* (sqrt PI) l))))
1.0b
(sqrt PI)
1.0b
(sqrt PI)
31.7b
(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
22×associate-*l*
20×add-cube-cbrt *-un-lft-identity times-frac
16×sqrt-prod
9×add-exp-log add-cbrt-cube
8×pow1
4×add-log-exp
3×tan-quot associate-*r* unswap-sqr
2×rem-sqrt-square sqrt-pow1 pow1/2 prod-exp cbrt-unprod
1×cbrt-undiv frac-times associate-*r/ div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 78
Calls
4 calls:
22.0ms
(* (/ (sqrt 1.0) F) (tan (* (sqrt PI) (* (sqrt PI) l))))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)
5.0ms
(tan (* (sqrt PI) (* (sqrt PI) l)))

series233.0ms

Counts
4 → 8
Calls
4 calls:
166.0ms
(* (/ (sqrt 1.0) F) (tan (* (sqrt PI) (* (sqrt PI) l))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
67.0ms
(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify88.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0278650
1903588
23468585
35001582

prune267.0ms

Filtered
86 candidates to 63 candidates (73.3%)
Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 12.1b

regimes446.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02216
12216

end0.0ms

sample4.9s

Algorithm
intervals
Results
2.4s787×body2560valid
1.2s1718×body1280valid
346.0ms939×body640valid
311.0ms4542×body80valid
256.0ms11×body10240exit
89.0ms393×body320valid
36.0ms230×body160valid