Details

Time bar (total: 1.5m)

sample596.0ms

Algorithm
intervals
Results
461.0ms243×body10240exit
61.0ms283×body80valid
4.0ms8×body160valid

simplify316.0ms

Calls
1 calls:
Slowest
315.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.6b

localize16.0ms

Local error

Found 4 expressions with local error:

8.1b
(/ (tan (* PI l)) (* F F))
3.3b
(tan (* PI l))
0.2b
(* PI l)
0.2b
(* PI l)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
45×times-frac
44×*-un-lft-identity add-cube-cbrt
18×associate-*r* associate-*l*
15×associate-/r*
13×add-cbrt-cube add-exp-log
12×swap-sqr
8×pow1
6×*-commutative unswap-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×prod-exp cbrt-unprod associate-/l*
2×cbrt-undiv div-exp pow-prod-down tan-quot
1×clear-num frac-2neg div-inv associate-/l/
Calls
4 calls:
Slowest
42.0ms
(/ (tan (* PI l)) (* F F))
9.0ms
(tan (* PI l))
6.0ms
(* PI l)
5.0ms
(* PI l)

series316.0ms

Calls
4 calls:
Slowest
172.0ms
(/ (tan (* PI l)) (* F F))
84.0ms
(tan (* PI l))
32.0ms
(* PI l)
28.0ms
(* PI l)

simplify4.5s

Calls
139 calls:
Slowest
582.0ms
(/ (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (* (* (cbrt F) (cbrt F)) (* (cbrt F) (cbrt F))))
392.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
385.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) F) (* (* F F) F)))
294.0ms
(+ (/ (* 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)))))
276.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune1.4s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.5b

localize23.0ms

Local error

Found 4 expressions with local error:

3.3b
(tan (* PI l))
0.2b
(/ (tan (* PI l)) F)
0.2b
(* PI l)
0.2b
(* PI l)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×*-un-lft-identity add-cube-cbrt
10×add-cbrt-cube add-exp-log
9×times-frac
8×pow1
6×associate-*r* associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* associate-/l*
2×pow-prod-down prod-exp tan-quot *-commutative cbrt-unprod unswap-sqr
1×cbrt-undiv clear-num frac-2neg div-exp div-inv associate-/l/
Calls
4 calls:
Slowest
12.0ms
(/ (tan (* PI l)) F)
11.0ms
(* PI l)
10.0ms
(tan (* PI l))
7.0ms
(* PI l)

series300.0ms

Calls
4 calls:
Slowest
153.0ms
(/ (tan (* PI l)) F)
100.0ms
(tan (* PI l))
25.0ms
(* PI l)
22.0ms
(* PI l)

simplify1.8s

Calls
55 calls:
Slowest
429.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
317.0ms
(* (* (* PI PI) PI) (* (* l l) l))
291.0ms
(* (* (* PI PI) PI) (* (* l l) l))
189.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))
158.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune921.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 4 expressions with local error:

3.3b
(tan (* PI l))
0.3b
(* (/ 1 F) (/ (tan (* PI l)) F))
0.2b
(/ (tan (* PI l)) F)
0.2b
(* PI l)

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
90×frac-times
89×add-sqr-sqrt
73×*-un-lft-identity
70×add-cube-cbrt
67×associate-/l*
66×associate-/r*
34×times-frac
30×add-exp-log
23×clear-num
22×frac-2neg
20×add-cbrt-cube
16×associate-*r* associate-*l*
12×tan-quot
11×associate-/l/
10×associate-*r/
9×div-exp associate-*l/ prod-exp
8×pow1
7×unswap-sqr
5×cbrt-undiv cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×div-inv
2×rec-exp 1-exp pow-prod-down un-div-inv *-commutative
Calls
4 calls:
Slowest
39.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
14.0ms
(/ (tan (* PI l)) F)
9.0ms
(tan (* PI l))
5.0ms
(* PI l)

series407.0ms

Calls
4 calls:
Slowest
151.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
127.0ms
(/ (tan (* PI l)) F)
96.0ms
(tan (* PI l))
33.0ms
(* PI l)

simplify13.0s

Calls
294 calls:
Slowest
477.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (/ (tan (* PI l)) F) (/ (tan (* PI l)) F)) (/ (tan (* PI l)) F)))
412.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
383.0ms
(* (/ 1 (sqrt F)) (/ (tan (* PI l)) (* (cbrt F) (cbrt F))))
371.0ms
(* (/ 1 (* (cbrt F) (cbrt F))) (/ (tan (* PI l)) (* (cbrt F) (cbrt F))))
339.0ms
(* (/ 1 (* (cbrt F) (cbrt F))) (/ (tan (* PI l)) F))

prune2.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.5b

localize33.0ms

Local error

Found 4 expressions with local error:

3.3b
(tan (* PI l))
0.2b
(/ (/ 1 F) (/ F (tan (* PI l))))
0.2b
(/ F (tan (* PI l)))
0.2b
(* PI l)

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
452×times-frac
223×add-sqr-sqrt
221×*-un-lft-identity add-cube-cbrt
31×div-inv
30×add-exp-log
24×associate-/r/
23×associate-/r*
22×associate-/l*
20×add-cbrt-cube
17×div-exp
16×tan-quot
9×cbrt-undiv associate-/l/
6×pow1
4×expm1-log1p-u clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×rec-exp 1-exp
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Calls
4 calls:
Slowest
21.0ms
(/ (/ 1 F) (/ F (tan (* PI l))))
19.0ms
(/ F (tan (* PI l)))
17.0ms
(tan (* PI l))
7.0ms
(* PI l)

series499.0ms

Calls
4 calls:
Slowest
238.0ms
(/ F (tan (* PI l)))
170.0ms
(/ (/ 1 F) (/ F (tan (* PI l))))
65.0ms
(tan (* PI l))
26.0ms
(* PI l)

simplify41.4s

Calls
463 calls:
Slowest
857.0ms
(/ (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (/ F (tan (* PI l))) (/ F (tan (* PI l)))) (/ F (tan (* PI l)))))
589.0ms
(/ (/ (* (* 1 1) 1) (* (* F F) F)) (* (* (/ F (tan (* PI l))) (/ F (tan (* PI l)))) (/ F (tan (* PI l)))))
564.0ms
(/ (/ 1 (* (cbrt F) (cbrt F))) (/ 1 (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))
537.0ms
(/ (/ (sqrt 1) (* (cbrt F) (cbrt F))) (/ (* (cbrt F) (cbrt F)) (sqrt (tan (* PI l)))))
515.0ms
(/ (/ (sqrt 1) 1) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))

prune3.3s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.5b

regimes359.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch3.0ms

end0.0ms

sample20.2s

Algorithm
intervals
Results
17.6s7869×body10240exit
2.1s8912×body80valid
221.0ms279×body160valid