Details

Time bar (total: 1.1m)

sample688.0ms

Algorithm
intervals
Results
514.0ms243×body10240exit
64.0ms283×body80valid
8.0ms8×body160valid

simplify255.0ms

Calls
1 calls:
Slowest
254.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.6b

localize21.0ms

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)

rewrite70.0ms

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×insert-posit16 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
25.0ms
(/ (tan (* PI l)) (* F F))
19.0ms
(tan (* PI l))
11.0ms
(* PI l)
10.0ms
(* PI l)

series363.0ms

Calls
4 calls:
Slowest
191.0ms
(/ (tan (* PI l)) (* F F))
114.0ms
(tan (* PI l))
36.0ms
(* PI l)
23.0ms
(* PI l)

simplify4.4s

Calls
139 calls:
Slowest
688.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
378.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) F) (* (* F F) F)))
275.0ms
(* (* (* PI PI) PI) (* (* l l) l))
273.0ms
(+ (/ (* 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)))))
224.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune1.3s

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)

rewrite32.0ms

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×insert-posit16 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)
9.0ms
(tan (* PI l))
5.0ms
(* PI l)
5.0ms
(* PI l)

series281.0ms

Calls
4 calls:
Slowest
132.0ms
(/ (tan (* PI l)) F)
98.0ms
(tan (* PI l))
29.0ms
(* PI l)
22.0ms
(* PI l)

simplify1.9s

Calls
55 calls:
Slowest
449.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
324.0ms
(* (* (* PI PI) PI) (* (* l l) l))
269.0ms
(* (* (* PI PI) PI) (* (* l l) l))
215.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))
145.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune895.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.5b

localize39.0ms

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)

rewrite122.0ms

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×insert-posit16 add-log-exp
3×div-inv
2×rec-exp 1-exp pow-prod-down un-div-inv *-commutative
Calls
4 calls:
Slowest
79.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
18.0ms
(tan (* PI l))
16.0ms
(/ (tan (* PI l)) F)
5.0ms
(* PI l)

series396.0ms

Calls
4 calls:
Slowest
137.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
124.0ms
(/ (tan (* PI l)) F)
102.0ms
(tan (* PI l))
32.0ms
(* PI l)

simplify12.8s

Calls
294 calls:
Slowest
457.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (/ (tan (* PI l)) F) (/ (tan (* PI l)) F)) (/ (tan (* PI l)) F)))
388.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
343.0ms
(* (/ 1 (* (cbrt F) (cbrt F))) (/ (tan (* PI l)) (* (cbrt F) (cbrt F))))
333.0ms
(* (/ 1 (sqrt F)) (/ (tan (* PI l)) (* (cbrt F) (cbrt F))))
312.0ms
(* (/ 1 (* (cbrt F) (cbrt F))) (/ (tan (* PI l)) F))

prune2.3s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
121×times-frac
99×add-sqr-sqrt
78×*-un-lft-identity
77×add-cube-cbrt
59×associate-*r*
30×associate-/r*
29×add-exp-log
17×add-cbrt-cube
16×associate-/r/
15×associate-*l*
10×div-exp associate-/l*
9×pow1 associate-*r/ unswap-sqr
7×prod-exp
6×tan-quot div-inv
5×cbrt-undiv *-commutative
4×clear-num insert-posit16 add-log-exp
3×rec-exp frac-2neg 1-exp cbrt-unprod
2×pow-prod-down un-div-inv pow-flip
1×inv-pow
Calls
4 calls:
Slowest
117.0ms
(/ 1 (* F (/ F (tan (* PI l)))))
13.0ms
(/ F (tan (* PI l)))
10.0ms
(* PI l)
9.0ms
(tan (* PI l))

series468.0ms

Calls
4 calls:
Slowest
210.0ms
(/ F (tan (* PI l)))
143.0ms
(/ 1 (* F (/ F (tan (* PI l)))))
93.0ms
(tan (* PI l))
22.0ms
(* PI l)

simplify15.0s

Calls
238 calls:
Slowest
695.0ms
(/ (* (* 1 1) 1) (* (* (* F (/ F (tan (* PI l)))) (* F (/ F (tan (* PI l))))) (* F (/ F (tan (* PI l))))))
623.0ms
(/ (* (* 1 1) 1) (* (* (* F F) F) (* (* (/ F (tan (* PI l))) (/ F (tan (* PI l)))) (/ F (tan (* PI l))))))
417.0ms
(/ (sqrt 1) (* F (/ (* (cbrt F) (cbrt F)) (sqrt (tan (* PI l))))))
371.0ms
(/ (* (cbrt 1) (cbrt 1)) (* F (/ (sqrt F) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))))))
368.0ms
(/ (* (* F F) F) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))))

prune2.1s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.5b

regimes919.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample20.8s

Algorithm
intervals
Results
18.2s7869×body10240exit
2.1s8912×body80valid
146.0ms279×body160valid