Details

Time bar (total: 43.4s)

sample1.6s

Algorithm
intervals
Results
1.4s228×body10240exit
75.0ms268×body80valid
11.0ms15×body160valid

simplify243.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
242.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.8b

localize24.0ms

Local error

Found 4 expressions with local error:

6.1b
(/ (tan (* PI l)) (* F F))
5.8b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite64.0ms

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/
Counts
4 → 70
Calls
4 calls:
Slowest
27.0ms
(/ (tan (* PI l)) (* F F))
15.0ms
(tan (* PI l))
10.0ms
(* PI l)
9.0ms
(* PI l)

series342.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
212.0ms
(/ (tan (* PI l)) (* F F))
86.0ms
(tan (* PI l))
23.0ms
(* PI l)
21.0ms
(* PI l)

simplify2.2s

Counts
43 → 82
Calls
43 calls:
Slowest
403.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
384.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) F) (* (* F F) F)))
325.0ms
(* (* (* PI PI) PI) (* (* l l) l))
277.0ms
(* (* (* PI PI) PI) (* (* l l) l))
240.0ms
(+ (/ (* 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)))))

prune914.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.7b

localize32.0ms

Local error

Found 4 expressions with local error:

5.8b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(/ (tan (* PI l)) F)

rewrite68.0ms

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/
Counts
4 → 76
Calls
4 calls:
Slowest
23.0ms
(/ (tan (* PI l)) F)
22.0ms
(tan (* PI l))
11.0ms
(* PI l)
11.0ms
(* PI l)

series283.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
117.0ms
(/ (tan (* PI l)) F)
92.0ms
(tan (* PI l))
37.0ms
(* PI l)
36.0ms
(* PI l)

simplify1.7s

Counts
55 → 88
Calls
55 calls:
Slowest
418.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
294.0ms
(* (* (* PI PI) PI) (* (* l l) l))
210.0ms
(* (* (* PI PI) PI) (* (* l l) l))
199.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))
151.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune877.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.7b

localize19.0ms

Local error

Found 4 expressions with local error:

5.8b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(* (/ 1 F) (/ (tan (* PI l)) F))

rewrite60.0ms

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/
Counts
4 → 104
Calls
4 calls:
Slowest
33.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
10.0ms
(* PI l)
8.0ms
(tan (* PI l))
6.0ms
(* PI l)

series298.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
156.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
65.0ms
(tan (* PI l))
40.0ms
(* PI l)
37.0ms
(* PI l)

simplify4.1s

Counts
82 → 116
Calls
82 calls:
Slowest
532.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (/ (tan (* PI l)) F) (/ (tan (* PI l)) F)) (/ (tan (* PI l)) F)))
280.0ms
(* (* (* PI PI) PI) (* (* l l) l))
231.0ms
(* (* (* PI PI) PI) (* (* l l) l))
207.0ms
(* (/ (* (* 1 1) 1) (* (* F F) F)) (/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F)))
202.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F)))

prune1.3s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.7b

localize18.0ms

Local error

Found 4 expressions with local error:

5.8b
(tan (* PI l))
1.1b
(/ 1 (/ F (tan (* PI l))))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite52.0ms

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
Counts
4 → 128
Calls
4 calls:
Slowest
27.0ms
(/ 1 (/ F (tan (* PI l))))
12.0ms
(tan (* PI l))
6.0ms
(* PI l)
5.0ms
(* PI l)

series329.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
174.0ms
(/ 1 (/ F (tan (* PI l))))
77.0ms
(tan (* PI l))
41.0ms
(* PI l)
36.0ms
(* PI l)

simplify6.6s

Counts
138 → 140
Calls
138 calls:
Slowest
541.0ms
(/ (* (* 1 1) 1) (* (* (/ F (tan (* PI l))) (/ F (tan (* PI l)))) (/ F (tan (* PI l)))))
332.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))
268.0ms
(* (* (* PI PI) PI) (* (* l l) l))
259.0ms
(/ (sqrt 1) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))
239.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune1.6s

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.7b

regimes483.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample20.3s

Algorithm
intervals
Results
16.6s7716×body10240exit
2.8s8902×body80valid
507.0ms253×body160valid