Details

Time bar (total: 29.7s)

sample964.0ms

Algorithm
intervals
Results
842.0ms250×body10240exit
43.0ms290×body80valid
3.0ms7×body160valid

simplify186.0ms

Calls
1 calls:
Slowest
186.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.2b

localize16.0ms

Local error

Found 4 expressions with local error:

7.8b
(/ (tan (* PI l)) (* F F))
3.2b
(tan (* PI l))
0.2b
(* PI l)
0.2b
(* PI l)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×times-frac associate-/l*
2×tan-quot *-commutative
1×cbrt-undiv clear-num associate-/r* frac-2neg div-exp div-inv associate-/l/
Calls
4 calls:
Slowest
13.0ms
(/ (tan (* PI l)) (* F F))
2.0ms
(tan (* PI l))
0.0ms
(* PI l)
0.0ms
(* PI l)

series227.0ms

Calls
4 calls:
Slowest
91.0ms
(/ (tan (* PI l)) (* F F))
46.0ms
(tan (* PI l))
45.0ms
(* PI l)
45.0ms
(* PI l)

simplify921.0ms

Calls
23 calls:
Slowest
372.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
172.0ms
(+ (/ (* 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)))))
164.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))
43.0ms
(/ (sin (* PI l)) (* (pow F 2) (cos (* PI l))))
41.0ms
(- (log (tan (* PI l))) (log (* F F)))

prune712.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

Local error

Found 4 expressions with local error:

3.2b
(tan (* PI l))
0.2b
(* PI l)
0.2b
(* PI l)
0.2b
(/ (tan (* PI l)) F)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×associate-/l*
2×tan-quot *-commutative
1×clear-num frac-2neg div-inv associate-/l/
Calls
4 calls:
Slowest
6.0ms
(/ (tan (* PI l)) F)
4.0ms
(tan (* PI l))
0.0ms
(* PI l)
0.0ms
(* PI l)

series206.0ms

Calls
4 calls:
Slowest
89.0ms
(/ (tan (* PI l)) F)
47.0ms
(* PI l)
40.0ms
(tan (* PI l))
30.0ms
(* PI l)

simplify617.0ms

Calls
15 calls:
Slowest
274.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))
253.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))
16.0ms
(/ (sin (* PI l)) (* F (cos (* PI l))))
15.0ms
(/ (sin (* PI l)) (* F (cos (* PI l))))
9.0ms
(/ (sin (* PI l)) (cos (* PI l)))

prune670.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

Local error

Found 4 expressions with local error:

3.2b
(tan (* PI l))
0.2b
(* PI l)
0.2b
(* PI l)
0.2b
(* (/ 1 F) (/ (tan (* PI l)) F))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
4×expm1-log1p-u associate-*r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
2×div-inv
1×frac-times pow-prod-down associate-*l/ prod-exp tan-quot associate-*r/ cbrt-unprod
Calls
4 calls:
Slowest
11.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
4.0ms
(tan (* PI l))
0.0ms
(* PI l)
0.0ms
(* PI l)

series274.0ms

Calls
4 calls:
Slowest
127.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
61.0ms
(tan (* PI l))
45.0ms
(* PI l)
42.0ms
(* PI l)

simplify1.2s

Calls
24 calls:
Slowest
474.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (/ (tan (* PI l)) F) (/ (tan (* PI l)) F)) (/ (tan (* PI l)) F)))
177.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))
120.0ms
(+ (log (/ 1 F)) (log (/ (tan (* PI l)) F)))
95.0ms
(+ (/ (* PI l) (pow F 2)) (* 1/3 (/ (* (pow PI 3) (pow l 3)) (pow F 2))))
95.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))

prune743.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.4b

localize27.0ms

Local error

Found 4 expressions with local error:

3.2b
(tan (* PI l))
0.2b
(* PI l)
0.2b
(* PI l)
0.2b
(* (/ 1 F) (/ (log1p (expm1 (tan (* PI l)))) F))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
4×expm1-log1p-u associate-*r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
2×div-inv
1×frac-times pow-prod-down associate-*l/ prod-exp tan-quot associate-*r/ cbrt-unprod
Calls
4 calls:
Slowest
5.0ms
(* (/ 1 F) (/ (log1p (expm1 (tan (* PI l)))) F))
4.0ms
(tan (* PI l))
0.0ms
(* PI l)
0.0ms
(* PI l)

series288.0ms

Calls
4 calls:
Slowest
181.0ms
(* (/ 1 F) (/ (log1p (expm1 (tan (* PI l)))) F))
45.0ms
(tan (* PI l))
36.0ms
(* PI l)
26.0ms
(* PI l)

simplify1.2s

Calls
24 calls:
Slowest
428.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (/ (log1p (expm1 (tan (* PI l)))) F) (/ (log1p (expm1 (tan (* PI l)))) F)) (/ (log1p (expm1 (tan (* PI l)))) F)))
191.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))
151.0ms
(+ (log (/ 1 F)) (log (/ (log1p (expm1 (tan (* PI l)))) F)))
90.0ms
(* (/ 1 F) (/ (log1p (expm1 (tan (* PI l)))) F))
83.0ms
(+ (/ (* PI l) (pow F 2)) (* 1/3 (/ (* (pow PI 3) (pow l 3)) (pow F 2))))

prune720.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.4b

regimes368.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample20.4s

Algorithm
intervals
Results
17.5s7835×body10240exit
2.4s8961×body80valid
167.0ms254×body160valid