Details

Time bar (total: 1.3m)

sample653.0ms

Algorithm
intervals
Results
461.0ms233×body10240exit
61.0ms288×body80valid
3.0ms8×body160valid

simplify269.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
268.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.9b

localize22.0ms

Local error

Found 4 expressions with local error:

5.3b
(/ (tan (* PI l)) (* F F))
3.7b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×add-cbrt-cube add-exp-log
10×*-un-lft-identity add-cube-cbrt
8×pow1
6×associate-*r* associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×times-frac prod-exp cbrt-unprod associate-/l*
2×cbrt-undiv div-exp pow-prod-down tan-quot *-commutative unswap-sqr
1×clear-num associate-/r* frac-2neg div-inv associate-/l/
Counts
4 → 78
Calls
4 calls:
Slowest
16.0ms
(tan (* PI l))
16.0ms
(/ (tan (* PI l)) (* F F))
11.0ms
(* PI l)
11.0ms
(* PI l)

series338.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
192.0ms
(/ (tan (* PI l)) (* F F))
101.0ms
(tan (* PI l))
22.0ms
(* PI l)
21.0ms
(* PI l)

simplify2.2s

Counts
43 → 90
Calls
43 calls:
Slowest
385.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
376.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) F) (* (* F F) F)))
329.0ms
(+ (/ (* PI l) (pow F 2)) (+ (* 2/15 (/ (* (pow PI 5) (pow l 5)) (pow F 2))) (* 1/3 (/ (* (pow PI 3) (pow l 3)) (pow F 2)))))
305.0ms
(* (* (* PI PI) PI) (* (* l l) l))
245.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune881.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.7b

localize36.0ms

Local error

Found 4 expressions with local error:

3.7b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(* (/ 1 F) (/ (tan (* PI l)) F))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
30×add-exp-log
25×times-frac
24×*-un-lft-identity
22×add-cube-cbrt
20×add-cbrt-cube
19×associate-*r* associate-*l*
10×pow1 prod-exp
8×div-exp unswap-sqr
6×cbrt-unprod
4×expm1-log1p-u cbrt-undiv insert-posit16 log1p-expm1-u add-log-exp
3×pow-prod-down *-commutative
2×rec-exp 1-exp div-inv
1×frac-times associate-*l/ tan-quot associate-*r/
Counts
4 → 112
Calls
4 calls:
Slowest
14.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
14.0ms
(tan (* PI l))
8.0ms
(* PI l)
6.0ms
(* PI l)

series295.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
153.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
80.0ms
(tan (* PI l))
37.0ms
(* PI l)
24.0ms
(* PI l)

simplify4.5s

Counts
82 → 124
Calls
82 calls:
Slowest
567.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (/ (tan (* PI l)) F) (/ (tan (* PI l)) F)) (/ (tan (* PI l)) F)))
357.0ms
(* (* (* PI PI) PI) (* (* l l) l))
286.0ms
(* (* (* PI PI) PI) (* (* l l) l))
222.0ms
(* (/ (* (* 1 1) 1) (* (* F F) F)) (/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F)))
196.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F)))

prune1.2s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.7b

localize30.0ms

Local error

Found 4 expressions with local error:

3.7b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(/ (/ (tan (* PI l)) F) F)

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
54×add-sqr-sqrt
50×*-un-lft-identity add-cube-cbrt
13×add-cbrt-cube add-exp-log associate-/l*
8×pow1
6×associate-*r* associate-*l*
5×div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv associate-/r* div-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×clear-num frac-2neg tan-quot associate-/l/
Counts
4 → 126
Calls
4 calls:
Slowest
21.0ms
(/ (/ (tan (* PI l)) F) F)
17.0ms
(tan (* PI l))
15.0ms
(* PI l)
12.0ms
(* PI l)

series337.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
167.0ms
(/ (/ (tan (* PI l)) F) F)
113.0ms
(tan (* PI l))
35.0ms
(* PI l)
21.0ms
(* PI l)

simplify5.2s

Counts
127 → 138
Calls
127 calls:
Slowest
431.0ms
(/ (/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F)) (* (* F F) F))
351.0ms
(* (* (* PI PI) PI) (* (* l l) l))
331.0ms
(* (* (* PI PI) PI) (* (* l l) l))
323.0ms
(+ (/ (* PI l) (pow F 2)) (+ (* 2/15 (/ (* (pow PI 5) (pow l 5)) (pow F 2))) (* 1/3 (/ (* (pow PI 3) (pow l 3)) (pow F 2)))))
297.0ms
(/ (* (* (/ (tan (* PI l)) F) (/ (tan (* PI l)) F)) (/ (tan (* PI l)) F)) (* (* F F) F))

prune1.4s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.7b

localize34.0ms

Local error

Found 4 expressions with local error:

3.7b
(tan (* PI l))
0.3b
(/ 1 (/ F (/ (tan (* PI l)) F)))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
396×times-frac
197×add-sqr-sqrt
193×*-un-lft-identity add-cube-cbrt
44×associate-/r*
29×add-exp-log
17×add-cbrt-cube div-inv
15×div-exp
9×pow1
6×cbrt-undiv associate-*r* associate-*l*
5×associate-/r/
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×rec-exp 1-exp associate-/l*
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×clear-num frac-2neg tan-quot pow-flip inv-pow
Counts
4 → 260
Calls
4 calls:
Slowest
18.0ms
(/ 1 (/ F (/ (tan (* PI l)) F)))
16.0ms
(tan (* PI l))
11.0ms
(* PI l)
11.0ms
(* PI l)

series338.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
170.0ms
(/ 1 (/ F (/ (tan (* PI l)) F)))
114.0ms
(tan (* PI l))
30.0ms
(* PI l)
23.0ms
(* PI l)

simplify38.2s

Counts
350 → 272
Calls
350 calls:
Slowest
861.0ms
(/ (sqrt 1) (/ 1 (/ (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (* (cbrt F) (cbrt F)))))
771.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt F) (cbrt F)) (/ (sqrt (tan (* PI l))) (sqrt F))))
665.0ms
(/ (* (* 1 1) 1) (/ (* (* F F) F) (* (* (/ (tan (* PI l)) F) (/ (tan (* PI l)) F)) (/ (tan (* PI l)) F))))
618.0ms
(/ (* (* 1 1) 1) (* (* (/ F (/ (tan (* PI l)) F)) (/ F (/ (tan (* PI l)) F))) (/ F (/ (tan (* PI l)) F))))
590.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt F) (cbrt F)) (/ (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) 1)))

prune2.9s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.7b

regimes381.0ms

Accuracy

0% (0.2b remaining)

Error of 0.8b against oracle of 0.5b and baseline of 0.8b

bsearch2.0ms

end0.0ms

sample20.2s

Algorithm
intervals
Results
17.7s7633×body10240exit
2.0s8895×body80valid
167.0ms267×body160valid