Details

Time bar (total: 39.3s)

sample552.0ms

Algorithm
intervals
Results
403.0ms231×body10240exit
79.0ms281×body80valid
3.0ms7×body160valid

simplify320.0ms

Calls
1 calls:
Slowest
319.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune22.0ms

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)

rewrite45.0ms

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×insert-posit16 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/
Calls
4 calls:
Slowest
24.0ms
(/ (tan (* PI l)) (* F F))
8.0ms
(tan (* PI l))
5.0ms
(* PI l)
5.0ms
(* PI l)

series337.0ms

Calls
4 calls:
Slowest
194.0ms
(/ (tan (* PI l)) (* F F))
87.0ms
(tan (* PI l))
32.0ms
(* PI l)
22.0ms
(* PI l)

simplify2.6s

Calls
43 calls:
Slowest
498.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))
441.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
380.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) F) (* (* F F) F)))
331.0ms
(+ (/ (* 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)))))
298.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune838.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

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)

rewrite31.0ms

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)
8.0ms
(tan (* PI l))
5.0ms
(* PI l)
5.0ms
(* PI l)

series252.0ms

Calls
4 calls:
Slowest
123.0ms
(/ (tan (* PI l)) F)
85.0ms
(tan (* PI l))
23.0ms
(* PI l)
22.0ms
(* PI l)

simplify1.9s

Calls
55 calls:
Slowest
425.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
350.0ms
(* (* (* PI PI) PI) (* (* l l) l))
287.0ms
(* (* (* PI PI) PI) (* (* l l) l))
235.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))
175.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune947.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

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)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
55×add-sqr-sqrt
51×*-un-lft-identity add-cube-cbrt
19×add-exp-log
14×associate-/r*
13×add-cbrt-cube
9×pow1
7×div-exp
6×associate-*r* associate-*l*
5×tan-quot associate-/r/ div-inv
4×insert-posit16 add-log-exp
3×cbrt-undiv associate-/l*
2×rec-exp 1-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×clear-num frac-2neg pow-flip inv-pow
Calls
4 calls:
Slowest
28.0ms
(/ 1 (/ F (tan (* PI l))))
16.0ms
(tan (* PI l))
8.0ms
(* PI l)
5.0ms
(* PI l)

series276.0ms

Calls
4 calls:
Slowest
141.0ms
(/ 1 (/ F (tan (* PI l))))
66.0ms
(tan (* PI l))
36.0ms
(* PI l)
33.0ms
(* PI l)

simplify6.7s

Calls
138 calls:
Slowest
488.0ms
(/ (* (* 1 1) 1) (* (* (/ F (tan (* PI l))) (/ F (tan (* PI l)))) (/ F (tan (* PI l)))))
312.0ms
(* (* (* PI PI) PI) (* (* l l) l))
312.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))
295.0ms
(/ (sqrt 1) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))
283.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune1.4s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

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)

rewrite54.0ms

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
17.0ms
(/ (tan (* PI l)) F)
16.0ms
(tan (* PI l))
10.0ms
(* PI l)
10.0ms
(* PI l)

series288.0ms

Calls
4 calls:
Slowest
155.0ms
(/ (tan (* PI l)) F)
74.0ms
(tan (* PI l))
31.0ms
(* PI l)
27.0ms
(* PI l)

simplify1.6s

Calls
55 calls:
Slowest
360.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
263.0ms
(* (* (* PI PI) PI) (* (* l l) l))
229.0ms
(* (* (* PI PI) PI) (* (* l l) l))
197.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))
138.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune828.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.1b

regimes374.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 0.7b

bsearch2.0ms

end0.0ms

sample19.8s

Algorithm
intervals
Results
16.6s7836×body10240exit
2.7s8970×body80valid
157.0ms257×body160valid