Details

Time bar (total: 45.8s)

sample1.6s

Algorithm
intervals
Results
1.3s225×body10240exit
141.0ms285×body80valid
3.0ms7×body160valid

simplify265.0ms

Calls
1 calls:
Slowest
265.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize22.0ms

Local error

Found 4 expressions with local error:

7.0b
(/ (tan (* PI l)) (* F F))
3.2b
(tan (* PI l))
0.2b
(* PI l)
0.2b
(* PI l)

rewrite59.0ms

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
22.0ms
(/ (tan (* PI l)) (* F F))
19.0ms
(tan (* PI l))
9.0ms
(* PI l)
6.0ms
(* PI l)

series322.0ms

Calls
4 calls:
Slowest
184.0ms
(/ (tan (* PI l)) (* F F))
84.0ms
(tan (* PI l))
33.0ms
(* PI l)
21.0ms
(* PI l)

simplify4.2s

Calls
139 calls:
Slowest
385.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
383.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) F) (* (* F F) F)))
342.0ms
(+ (/ (* 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)))))
279.0ms
(* (* (* PI PI) PI) (* (* l l) l))
265.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune1.5s

Pruning

17 alts after pruning (17 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)

rewrite57.0ms

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
20.0ms
(tan (* PI l))
14.0ms
(/ (tan (* PI l)) F)
11.0ms
(* PI l)
11.0ms
(* PI l)

series272.0ms

Calls
4 calls:
Slowest
126.0ms
(/ (tan (* PI l)) F)
77.0ms
(tan (* PI l))
39.0ms
(* PI l)
30.0ms
(* PI l)

simplify2.0s

Calls
55 calls:
Slowest
459.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
329.0ms
(* (* (* PI PI) PI) (* (* l l) l))
317.0ms
(* (* (* PI PI) PI) (* (* l l) l))
219.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))
171.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune1.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.4b

localize23.0ms

Local error

Found 4 expressions with local error:

3.2b
(tan (* PI l))
1.0b
(/ 1 (/ F (tan (* PI l))))
0.2b
(* PI l)
0.2b
(* PI l)

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
57×add-sqr-sqrt
54×*-un-lft-identity
53×add-cube-cbrt
19×add-exp-log
17×associate-/r*
13×add-cbrt-cube associate-/r/
9×pow1
7×div-exp associate-/l*
6×associate-*r* associate-*l*
5×tan-quot div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv clear-num
2×rec-exp frac-2neg 1-exp pow-prod-down prod-exp *-commutative cbrt-unprod remove-double-div unswap-sqr
1×pow-flip inv-pow
Calls
4 calls:
Slowest
38.0ms
(/ 1 (/ F (tan (* PI l))))
19.0ms
(tan (* PI l))
11.0ms
(* PI l)
11.0ms
(* PI l)

series341.0ms

Calls
4 calls:
Slowest
187.0ms
(/ 1 (/ F (tan (* PI l))))
93.0ms
(tan (* PI l))
35.0ms
(* PI l)
26.0ms
(* PI l)

simplify7.1s

Calls
146 calls:
Slowest
442.0ms
(/ (* (* 1 1) 1) (* (* (/ F (tan (* PI l))) (/ F (tan (* PI l)))) (/ F (tan (* PI l)))))
342.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))
342.0ms
(* (* (* PI PI) PI) (* (* l l) l))
339.0ms
(/ (sqrt 1) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))
303.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune1.6s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt
19×associate-*l*
17×add-exp-log
13×add-cbrt-cube
11×times-frac tan-quot
10×pow1
9×frac-times associate-*r* associate-*l/
6×associate-/r* prod-exp associate-/l*
5×unswap-sqr
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×pow-prod-down *-commutative
2×clear-num frac-2neg div-exp
1×cbrt-undiv rec-exp 1-exp associate-*r/ div-inv
Calls
4 calls:
Slowest
50.0ms
(* (/ 1 F) (tan (* PI l)))
10.0ms
(tan (* PI l))
8.0ms
(* PI l)
6.0ms
(* PI l)

series303.0ms

Calls
4 calls:
Slowest
169.0ms
(* (/ 1 F) (tan (* PI l)))
77.0ms
(tan (* PI l))
36.0ms
(* PI l)
22.0ms
(* PI l)

simplify3.3s

Calls
85 calls:
Slowest
477.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))))
379.0ms
(* (/ (* (* 1 1) 1) (* (* F F) F)) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))))
321.0ms
(* (* (* PI PI) PI) (* (* l l) l))
279.0ms
(* (* (* PI PI) PI) (* (* l l) l))
162.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune1.2s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.4b

regimes431.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample19.9s

Algorithm
intervals
Results
17.1s7878×body10240exit
2.4s8890×body80valid
132.0ms280×body160valid