Details

Time bar (total: 28.6s)

sample986.0ms

Algorithm
intervals
Results
878.0ms231×body10240exit
55.0ms281×body80valid
4.0ms7×body160valid

simplify287.0ms

Calls
1 calls:
Slowest
287.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.0b

localize31.0ms

Local error

Found 4 expressions with local error:

7.9b
(/ (tan (* PI l)) (* F F))
2.7b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
4×pow1 insert-posit16 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
16.0ms
(/ (tan (* PI l)) (* F F))
2.0ms
(tan (* PI l))
0.0ms
(* PI l)
0.0ms
(* PI l)

series290.0ms

Calls
4 calls:
Slowest
148.0ms
(/ (tan (* PI l)) (* F F))
77.0ms
(tan (* PI l))
38.0ms
(* PI l)
27.0ms
(* PI l)

simplify1.0s

Calls
23 calls:
Slowest
355.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
314.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))
150.0ms
(+ (/ (* 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)))))
50.0ms
(- (log (tan (* PI l))) (log (* F F)))
30.0ms
(/ (sin (* PI l)) (* (pow F 2) (cos (* PI l))))

prune599.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

2.7b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(/ (tan (* PI l)) F)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×associate-/l*
2×tan-quot *-commutative
1×clear-num frac-2neg div-inv associate-/l/
Calls
4 calls:
Slowest
9.0ms
(/ (tan (* PI l)) F)
4.0ms
(tan (* PI l))
0.0ms
(* PI l)
0.0ms
(* PI l)

series287.0ms

Calls
4 calls:
Slowest
136.0ms
(/ (tan (* PI l)) F)
103.0ms
(tan (* PI l))
24.0ms
(* PI l)
24.0ms
(* PI l)

simplify607.0ms

Calls
15 calls:
Slowest
278.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))
240.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))
15.0ms
(/ (sin (* PI l)) (* F (cos (* PI l))))
15.0ms
(/ (sin (* PI l)) (* F (cos (* PI l))))
9.0ms
(/ (sin (* PI l)) (cos (* PI l)))

prune525.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

2.7b
(tan (* PI l))
0.7b
(/ 1 (/ F (tan (* PI l))))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt pow1 associate-/r* *-un-lft-identity add-exp-log add-cube-cbrt
4×add-cbrt-cube insert-posit16 add-log-exp
2×tan-quot associate-/r/ *-commutative div-inv
1×rec-exp clear-num frac-2neg pow-flip inv-pow
Calls
4 calls:
Slowest
4.0ms
(tan (* PI l))
3.0ms
(/ 1 (/ F (tan (* PI l))))
1.0ms
(* PI l)
0.0ms
(* PI l)

series325.0ms

Calls
4 calls:
Slowest
174.0ms
(/ 1 (/ F (tan (* PI l))))
85.0ms
(tan (* PI l))
37.0ms
(* PI l)
29.0ms
(* PI l)

simplify696.0ms

Calls
19 calls:
Slowest
341.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))
232.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (/ (* PI l) F))
20.0ms
(/ (sin (* PI l)) (* F (cos (* PI l))))
17.0ms
(/ 1 (tan (* PI l)))
15.0ms
(/ (sin (* PI l)) (* F (cos (* PI l))))

prune676.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 4 expressions with local error:

2.7b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(/ (tan (* PI l)) F)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×associate-/l*
2×tan-quot *-commutative
1×clear-num frac-2neg div-inv associate-/l/
Calls
4 calls:
Slowest
5.0ms
(/ (tan (* PI l)) F)
2.0ms
(tan (* PI l))
0.0ms
(* PI l)
0.0ms
(* PI l)

series293.0ms

Calls
4 calls:
Slowest
140.0ms
(/ (tan (* PI l)) F)
90.0ms
(tan (* PI l))
38.0ms
(* PI l)
25.0ms
(* PI l)

simplify721.0ms

Calls
15 calls:
Slowest
373.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))
266.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))
15.0ms
(/ (sin (* PI l)) (* F (cos (* PI l))))
15.0ms
(/ (sin (* PI l)) (* F (cos (* PI l))))
9.0ms
(* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))

prune502.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

regimes296.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample20.3s

Algorithm
intervals
Results
17.8s7836×body10240exit
2.0s8970×body80valid
141.0ms257×body160valid