Details

Time bar (total: 39.0s)

sample656.0ms

Algorithm
intervals
Results
487.0ms225×body10240exit
99.0ms293×body80valid
4.0ms6×body160valid

simplify276.0ms

Calls
1 calls:
Slowest
276.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.0b

localize22.0ms

Local error

Found 4 expressions with local error:

5.7b
(/ (tan (* PI l)) (* F F))
2.7b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite56.0ms

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
29.0ms
(/ (tan (* PI l)) (* F F))
15.0ms
(tan (* PI l))
5.0ms
(* PI l)
5.0ms
(* PI l)

series306.0ms

Calls
4 calls:
Slowest
165.0ms
(/ (tan (* PI l)) (* F F))
93.0ms
(tan (* PI l))
26.0ms
(* PI l)
22.0ms
(* PI l)

simplify2.6s

Calls
43 calls:
Slowest
487.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))
382.0ms
(/ (* (* (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)))
325.0ms
(* (* (* PI PI) PI) (* (* l l) l))
318.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune886.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.4b

localize33.0ms

Local error

Found 4 expressions with local error:

2.7b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(* (/ 1 F) (/ (tan (* PI l)) F))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
30×add-exp-log
25×times-frac
24×*-un-lft-identity
22×add-cube-cbrt
20×add-cbrt-cube
19×associate-*r* associate-*l*
10×pow1 prod-exp
8×div-exp unswap-sqr
6×cbrt-unprod
4×cbrt-undiv insert-posit16 add-log-exp
3×pow-prod-down *-commutative
2×rec-exp 1-exp div-inv
1×frac-times associate-*l/ tan-quot associate-*r/
Calls
4 calls:
Slowest
28.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
16.0ms
(tan (* PI l))
15.0ms
(* PI l)
11.0ms
(* PI l)

series328.0ms

Calls
4 calls:
Slowest
186.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
86.0ms
(tan (* PI l))
35.0ms
(* PI l)
21.0ms
(* PI l)

simplify4.3s

Calls
82 calls:
Slowest
560.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (/ (tan (* PI l)) F) (/ (tan (* PI l)) F)) (/ (tan (* PI l)) F)))
264.0ms
(* (* (* PI PI) PI) (* (* l l) l))
253.0ms
(* (/ (* (* 1 1) 1) (* (* F F) F)) (/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F)))
248.0ms
(* (* (* PI PI) PI) (* (* l l) l))
220.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F)))

prune1.2s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.3b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
19×associate-*l*
17×*-un-lft-identity add-exp-log
16×add-cube-cbrt
13×add-cbrt-cube
11×times-frac
10×pow1
9×associate-*r*
6×prod-exp
5×unswap-sqr
4×cbrt-unprod insert-posit16 add-log-exp
3×pow-prod-down tan-quot *-commutative
2×div-exp
1×frac-times cbrt-undiv rec-exp 1-exp associate-*l/ associate-*r/ div-inv
Calls
4 calls:
Slowest
54.0ms
(* (/ 1 F) (tan (* PI l)))
15.0ms
(tan (* PI l))
10.0ms
(* PI l)
6.0ms
(* PI l)

series294.0ms

Calls
4 calls:
Slowest
144.0ms
(* (/ 1 F) (tan (* PI l)))
90.0ms
(tan (* PI l))
39.0ms
(* PI l)
21.0ms
(* PI l)

simplify2.6s

Calls
61 calls:
Slowest
501.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))))
372.0ms
(* (/ (* (* 1 1) 1) (* (* F F) F)) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))))
280.0ms
(* (* (* PI PI) PI) (* (* l l) l))
261.0ms
(* (* (* PI PI) PI) (* (* l l) l))
204.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune993.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 4 expressions with local error:

2.7b
(tan (* PI l))
0.6b
(cbrt (/ 1 F))
0.6b
(cbrt (/ 1 F))
0.6b
(cbrt (/ 1 F))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×cbrt-div pow1/3 div-inv
1×tan-quot
Calls
4 calls:
Slowest
12.0ms
(tan (* PI l))
1.0ms
(cbrt (/ 1 F))
1.0ms
(cbrt (/ 1 F))
1.0ms
(cbrt (/ 1 F))

series907.0ms

Calls
4 calls:
Slowest
284.0ms
(cbrt (/ 1 F))
282.0ms
(cbrt (/ 1 F))
252.0ms
(cbrt (/ 1 F))
88.0ms
(tan (* PI l))

simplify1.2s

Calls
54 calls:
Slowest
144.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))
140.0ms
(* (cbrt -1) (pow (/ -1 F) 1/3))
112.0ms
(* (cbrt -1) (pow (/ -1 F) 1/3))
111.0ms
(* (cbrt -1) (pow (/ -1 F) 1/3))
46.0ms
(cbrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt F) (cbrt F))))

prune1.1s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.3b

regimes408.0ms

Accuracy

0% (0.5b remaining)

Error of 1.0b against oracle of 0.5b and baseline of 1.0b

bsearch3.0ms

end0.0ms

sample20.6s

Algorithm
intervals
Results
17.9s7655×body10240exit
2.2s8909×body80valid
159.0ms259×body160valid