Details

Time bar (total: 42.9s)

sample1.0s

Algorithm
intervals
Results
638.0ms252×body10240exit
76.0ms290×body80valid
2.0ms4×body160valid

simplify259.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
259.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.0b

localize24.0ms

Local error

Found 4 expressions with local error:

7.9b
(/ (tan (* PI l)) (* F F))
2.9b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite55.0ms

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
22.0ms
(/ (tan (* PI l)) (* F F))
15.0ms
(* PI l)
8.0ms
(tan (* PI l))
6.0ms
(* PI l)

series381.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
225.0ms
(/ (tan (* PI l)) (* F F))
103.0ms
(tan (* PI l))
29.0ms
(* PI l)
24.0ms
(* PI l)

simplify2.1s

Counts
43 → 82
Calls
43 calls:
Slowest
375.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
357.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) F) (* (* F F) F)))
286.0ms
(* (* (* PI PI) PI) (* (* l l) l))
283.0ms
(* (* (* PI PI) PI) (* (* l l) l))
281.0ms
(+ (/ (* 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)))))

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

2.9b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(/ (tan (* PI l)) F)

rewrite48.0ms

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
16.0ms
(tan (* PI l))
11.0ms
(/ (tan (* PI l)) F)
10.0ms
(* PI l)
10.0ms
(* PI l)

series278.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
119.0ms
(/ (tan (* PI l)) F)
100.0ms
(tan (* PI l))
37.0ms
(* PI l)
22.0ms
(* PI l)

simplify1.9s

Counts
55 → 88
Calls
55 calls:
Slowest
476.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
344.0ms
(* (* (* PI PI) PI) (* (* l l) l))
250.0ms
(* (* (* PI PI) PI) (* (* l l) l))
205.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))
121.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune858.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

2.9b
(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/
Counts
4 → 104
Calls
4 calls:
Slowest
32.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
16.0ms
(tan (* PI l))
11.0ms
(* PI l)
10.0ms
(* PI l)

series330.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
165.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
94.0ms
(tan (* PI l))
36.0ms
(* PI l)
34.0ms
(* PI l)

simplify4.2s

Counts
82 → 116
Calls
82 calls:
Slowest
402.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (/ (tan (* PI l)) F) (/ (tan (* PI l)) F)) (/ (tan (* PI l)) F)))
308.0ms
(* (* (* PI PI) PI) (* (* l l) l))
267.0ms
(* (* (* PI PI) PI) (* (* l l) l))
258.0ms
(* (/ (* (* 1 1) 1) (* (* F F) F)) (/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F)))
199.0ms
(+ (/ (* PI l) (pow F 2)) (* 1/3 (/ (* (pow PI 3) (pow l 3)) (pow F 2))))

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

2.9b
(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
29.0ms
(/ 1 (/ F (tan (* PI l))))
10.0ms
(tan (* PI l))
5.0ms
(* PI l)
5.0ms
(* PI l)

series287.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
150.0ms
(/ 1 (/ F (tan (* PI l))))
88.0ms
(tan (* PI l))
28.0ms
(* PI l)
22.0ms
(* PI l)

simplify6.9s

Counts
138 → 140
Calls
138 calls:
Slowest
551.0ms
(/ (* (* 1 1) 1) (* (* (/ F (tan (* PI l))) (/ F (tan (* PI l)))) (/ F (tan (* PI l)))))
366.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))
303.0ms
(/ (sqrt 1) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))
269.0ms
(* (* (* PI PI) PI) (* (* l l) l))
245.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

regimes340.0ms

Accuracy

0% (0.3b remaining)

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

bsearch2.0ms

end0.0ms

sample20.1s

Algorithm
intervals
Results
17.4s7628×body10240exit
2.1s8950×body80valid
118.0ms251×body160valid