Details

Time bar (total: 1.3m)

sample1.7s

Algorithm
intervals
Results
1.4s233×body10240exit
272.0ms288×body80valid
4.0ms8×body160valid

simplify340.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
339.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.9b

localize33.0ms

Local error

Found 4 expressions with local error:

5.3b
(/ (tan (* PI l)) (* F F))
3.7b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite49.0ms

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
18.0ms
(/ (tan (* PI l)) (* F F))
15.0ms
(* PI l)
8.0ms
(tan (* PI l))
6.0ms
(* PI l)

series307.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
200.0ms
(/ (tan (* PI l)) (* F F))
64.0ms
(tan (* PI l))
21.0ms
(* PI l)
21.0ms
(* PI l)

simplify2.1s

Counts
43 → 82
Calls
43 calls:
Slowest
365.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) F) (* (* F F) F)))
359.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
330.0ms
(* (* (* PI PI) PI) (* (* l l) l))
290.0ms
(* (* (* PI PI) PI) (* (* l l) l))
272.0ms
(+ (/ (* 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)))))

prune828.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.7b

localize26.0ms

Local error

Found 4 expressions with local error:

3.7b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(* (/ 1 F) (/ (tan (* PI l)) F))

rewrite44.0ms

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
21.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
9.0ms
(tan (* PI l))
6.0ms
(* PI l)
5.0ms
(* PI l)

series296.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
139.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
95.0ms
(tan (* PI l))
33.0ms
(* PI l)
28.0ms
(* PI l)

simplify4.4s

Counts
82 → 116
Calls
82 calls:
Slowest
480.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (/ (tan (* PI l)) F) (/ (tan (* PI l)) F)) (/ (tan (* PI l)) F)))
350.0ms
(* (* (* PI PI) PI) (* (* l l) l))
288.0ms
(* (* (* PI PI) PI) (* (* l l) l))
205.0ms
(* (/ (* (* 1 1) 1) (* (* F F) F)) (/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F)))
202.0ms
(+ (/ (* PI l) (pow F 2)) (* 1/3 (/ (* (pow PI 3) (pow l 3)) (pow F 2))))

prune1.3s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.7b

localize30.0ms

Local error

Found 4 expressions with local error:

3.7b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(/ (/ (tan (* PI l)) F) F)

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
54×add-sqr-sqrt
50×*-un-lft-identity add-cube-cbrt
13×add-cbrt-cube add-exp-log associate-/l*
8×pow1
6×associate-*r* associate-*l*
5×div-inv
4×insert-posit16 add-log-exp
3×cbrt-undiv associate-/r* div-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×clear-num frac-2neg tan-quot associate-/l/
Counts
4 → 118
Calls
4 calls:
Slowest
22.0ms
(/ (/ (tan (* PI l)) F) F)
16.0ms
(tan (* PI l))
15.0ms
(* PI l)
11.0ms
(* PI l)

series339.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
197.0ms
(/ (/ (tan (* PI l)) F) F)
81.0ms
(tan (* PI l))
38.0ms
(* PI l)
22.0ms
(* PI l)

simplify5.0s

Counts
127 → 130
Calls
127 calls:
Slowest
434.0ms
(/ (/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F)) (* (* F F) F))
332.0ms
(/ (* (* (/ (tan (* PI l)) F) (/ (tan (* PI l)) F)) (/ (tan (* PI l)) F)) (* (* F F) F))
310.0ms
(* (* (* PI PI) PI) (* (* l l) l))
302.0ms
(* (* (* PI PI) PI) (* (* l l) l))
296.0ms
(+ (/ (* 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

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.7b

localize20.0ms

Local error

Found 4 expressions with local error:

3.7b
(tan (* PI l))
0.3b
(/ 1 (/ F (/ (tan (* PI l)) F)))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
396×times-frac
197×add-sqr-sqrt
193×*-un-lft-identity add-cube-cbrt
44×associate-/r*
29×add-exp-log
17×add-cbrt-cube div-inv
15×div-exp
9×pow1
6×cbrt-undiv associate-*r* associate-*l*
5×associate-/r/
4×insert-posit16 add-log-exp
3×rec-exp 1-exp associate-/l*
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×clear-num frac-2neg tan-quot pow-flip inv-pow
Counts
4 → 252
Calls
4 calls:
Slowest
10.0ms
(/ 1 (/ F (/ (tan (* PI l)) F)))
9.0ms
(tan (* PI l))
6.0ms
(* PI l)
6.0ms
(* PI l)

series280.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
139.0ms
(/ 1 (/ F (/ (tan (* PI l)) F)))
87.0ms
(tan (* PI l))
33.0ms
(* PI l)
21.0ms
(* PI l)

simplify37.2s

Counts
350 → 264
Calls
350 calls:
Slowest
910.0ms
(/ (sqrt 1) (/ (* (cbrt F) (cbrt F)) (/ (sqrt (tan (* PI l))) (sqrt F))))
892.0ms
(/ (sqrt 1) (/ 1 (/ (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (* (cbrt F) (cbrt F)))))
641.0ms
(/ (* (* 1 1) 1) (/ (* (* F F) F) (* (* (/ (tan (* PI l)) F) (/ (tan (* PI l)) F)) (/ (tan (* PI l)) F))))
573.0ms
(/ (sqrt 1) (/ (* (cbrt F) (cbrt F)) (/ (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (sqrt F))))
568.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt F) (cbrt F)) (/ (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) 1)))

prune2.8s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.7b

regimes554.0ms

Accuracy

0% (0.2b remaining)

Error of 0.8b against oracle of 0.5b and baseline of 0.8b

bsearch4.0ms

end0.0ms

sample20.2s

Algorithm
intervals
Results
17.8s7633×body10240exit
1.9s8895×body80valid
159.0ms267×body160valid