Details

Time bar (total: 45.3s)

sample872.0ms

Algorithm
intervals
Results
638.0ms280×body10240exit
96.0ms269×body80valid
5.0ms10×body160valid

simplify312.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
312.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.0b

localize32.0ms

Local error

Found 4 expressions with local error:

7.4b
(/ (tan (* PI l)) (* F F))
2.8b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite79.0ms

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
30.0ms
(/ (tan (* PI l)) (* F F))
15.0ms
(tan (* PI l))
11.0ms
(* PI l)
10.0ms
(* PI l)

series358.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
194.0ms
(/ (tan (* PI l)) (* F F))
111.0ms
(tan (* PI l))
29.0ms
(* PI l)
23.0ms
(* PI l)

simplify3.8s

Counts
87 → 82
Calls
87 calls:
Slowest
644.0ms
(* (* (* PI l) (* PI l)) (* PI l))
402.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
386.0ms
(* (* (* PI PI) PI) (* (* l l) l))
377.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) F) (* (* F F) F)))
331.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune810.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.7b

localize19.0ms

Local error

Found 4 expressions with local error:

2.8b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(/ (tan (* PI l)) F)

rewrite33.0ms

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
11.0ms
(/ (tan (* PI l)) F)
8.0ms
(tan (* PI l))
5.0ms
(* PI l)
5.0ms
(* PI l)

series289.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
164.0ms
(/ (tan (* PI l)) F)
61.0ms
(tan (* PI l))
37.0ms
(* PI l)
26.0ms
(* PI l)

simplify3.1s

Counts
99 → 88
Calls
99 calls:
Slowest
459.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
407.0ms
(* (* (* PI PI) PI) (* (* l l) l))
293.0ms
(* (* (* PI PI) PI) (* (* l l) l))
249.0ms
(* (* (* PI l) (* PI l)) (* PI l))
239.0ms
(* (* (* PI l) (* PI l)) (* PI l))

prune948.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.6b

localize41.0ms

Local error

Found 4 expressions with local error:

2.7b
(sin (* PI l))
2.5b
(cos (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
6×associate-*r* associate-*l*
4×insert-posit16 add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 54
Calls
4 calls:
Slowest
16.0ms
(* PI l)
14.0ms
(sin (* PI l))
14.0ms
(cos (* PI l))
11.0ms
(* PI l)

series114.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
35.0ms
(* PI l)
32.0ms
(* PI l)
25.0ms
(sin (* PI l))
22.0ms
(cos (* PI l))

simplify2.0s

Counts
66 → 66
Calls
66 calls:
Slowest
378.0ms
(* (* (* PI PI) PI) (* (* l l) l))
338.0ms
(* (* (* PI PI) PI) (* (* l l) l))
236.0ms
(* (* (* PI l) (* PI l)) (* PI l))
215.0ms
(- (+ (* 1/24 (* (pow PI 4) (pow l 4))) 1) (* 1/2 (* (pow PI 2) (pow l 2))))
185.0ms
(- (+ (* 1/120 (* (pow PI 5) (pow l 5))) (* PI l)) (* 1/6 (* (pow PI 3) (pow l 3))))

prune803.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.6b

localize37.0ms

Local error

Found 4 expressions with local error:

2.8b
(tan (* PI l))
0.6b
(/ 1 (/ F (tan (* PI l))))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite68.0ms

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))))
16.0ms
(tan (* PI l))
10.0ms
(* PI l)
10.0ms
(* PI l)

series348.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
156.0ms
(/ 1 (/ F (tan (* PI l))))
114.0ms
(tan (* PI l))
39.0ms
(* PI l)
38.0ms
(* PI l)

simplify9.5s

Counts
183 → 140
Calls
183 calls:
Slowest
480.0ms
(/ (* (* 1 1) 1) (* (* (/ F (tan (* PI l))) (/ F (tan (* PI l)))) (/ F (tan (* PI l)))))
454.0ms
(* (* (/ 1 (/ F (tan (* PI l)))) (/ 1 (/ F (tan (* PI l))))) (/ 1 (/ F (tan (* PI l)))))
434.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))
387.0ms
(* (* (* PI PI) PI) (* (* l l) l))
349.0ms
(/ (sqrt 1) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))

prune1.4s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.6b

regimes497.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample19.8s

Algorithm
intervals
Results
17.0s7450×body10240exit
2.3s8907×body80valid
118.0ms237×body160valid