Details

Time bar (total: 7.4s)

sample400.0ms

Algorithm
intervals
Results
88.0ms27×body2560valid
27.0ms53×body1280valid
10.0ms37×body640valid
8.0ms151×body80valid
2.0ms10×body320valid
1.0ms5×body160valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0197
1417
2827
31227
41477
51577
61597
71597

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: 16.6b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.7b
(/ 1.0 (* F F))
3.6b
(* (/ 1.0 (* F F)) (tan (* PI l)))
29.9b
(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 expm1-log1p-u div-exp log1p-expm1-u 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 → 85
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))

series274.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI l)
25.0ms
(/ 1.0 (* F F))
138.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
91.0ms
(tan (* PI l))

simplify48.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0334468
11442399
25001398

prune237.0ms

Filtered
97 candidates to 69 candidates (71.1%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New831497
Fresh000
Picked101
Done000
Total841498

Merged error: 12.6b

Counts
98 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.3b
(* (/ 1.0 F) (tan (* PI l)))
29.9b
(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×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u 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 → 86
Calls
4 calls:
3.0ms
(* PI l)
3.0ms
(* PI l)
10.0ms
(* (/ 1.0 F) (tan (* PI l)))
2.0ms
(tan (* PI l))

series231.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* PI l)
19.0ms
(* PI l)
130.0ms
(* (/ 1.0 F) (tan (* PI l)))
62.0ms
(tan (* PI l))

simplify91.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0286403
11032363
23928361
35001360

prune254.0ms

Filtered
98 candidates to 72 candidates (73.5%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New871198
Fresh4913
Picked101
Done000
Total9220112

Merged error: 12.5b

Counts
112 → 20

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1.0 F) (tan (* (sqrt PI) (* (sqrt PI) l))))
1.0b
(sqrt PI)
1.0b
(sqrt PI)
30.1b
(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
13×associate-*l*
10×times-frac
9×add-exp-log add-cbrt-cube
8×pow1
6×sqrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×tan-quot associate-*r*
2×rem-sqrt-square sqrt-pow1 pow1/2 prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv frac-times associate-*r/ div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 76
Calls
4 calls:
8.0ms
(* (/ 1.0 F) (tan (* (sqrt PI) (* (sqrt PI) l))))
1.0ms
(sqrt PI)
2.0ms
(sqrt PI)
3.0ms
(tan (* (sqrt PI) (* (sqrt PI) l)))

series200.0ms

Counts
4 → 8
Calls
4 calls:
132.0ms
(* (/ 1.0 F) (tan (* (sqrt PI) (* (sqrt PI) l))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
68.0ms
(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify79.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0266534
1877475
23404472
35001472

prune253.0ms

Filtered
84 candidates to 66 candidates (78.6%)
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New81384
Fresh21719
Picked011
Done000
Total8321104

Merged error: 12.5b

Counts
104 → 21

localize22.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(sqrt PI)
1.0b
(expm1 (log1p (sqrt PI)))
30.0b
(tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2
1×tan-quot expm1-log1p expm1-udef
Counts
4 → 51
Calls
4 calls:
1.0ms
(sqrt PI)
2.0ms
(sqrt PI)
1.0ms
(expm1 (log1p (sqrt PI)))
3.0ms
(tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l)))

series370.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
0.0ms
(expm1 (log1p (sqrt PI)))
370.0ms
(tan (* (sqrt PI) (* (expm1 (log1p (sqrt PI))) l)))

simplify125.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0106241
1245226
2803226
33953226
45001226

prune164.0ms

Filtered
57 candidates to 46 candidates (80.7%)
Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New55257
Fresh11819
Picked011
Done011
Total562278

Merged error: 12.5b

Counts
78 → 22

regimes478.0ms

Accuracy

0% (0.4b remaining)

Error of 12.4b against oracle of 12.0b and baseline of 12.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02211
12211

end0.0ms

sample4.0s

Algorithm
intervals
Results
2.4s791×body2560valid
924.0ms1670×body1280valid
239.0ms936×body640valid
201.0ms4604×body80valid
67.0ms431×body320valid
26.0ms195×body160valid
2.0ms5×body10240exit