Details

Time bar (total: 41.3s)

sample672.0ms

Algorithm
intervals
Results
480.0ms290×body10240exit
50.0ms289×body80valid
2.0ms5×body160valid

simplify271.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
270.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.5b

localize34.0ms

Local error

Found 4 expressions with local error:

6.2b
(/ (tan (* PI l)) (* F F))
3.5b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite81.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 78
Calls
4 calls:
Slowest
38.0ms
(/ (tan (* PI l)) (* F F))
17.0ms
(tan (* PI l))
11.0ms
(* PI l)
11.0ms
(* PI l)

series772.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
432.0ms
(* PI l)
203.0ms
(/ (tan (* PI l)) (* F F))
115.0ms
(tan (* PI l))
21.0ms
(* PI l)

simplify2.1s

Counts
43 → 90
Calls
43 calls:
Slowest
383.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
351.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) F) (* (* F F) F)))
281.0ms
(* (* (* PI PI) PI) (* (* l l) l))
259.0ms
(+ (/ (* 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)))))
246.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune943.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.3b

localize30.0ms

Local error

Found 4 expressions with local error:

3.5b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(/ (tan (* PI l)) F)

rewrite57.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 84
Calls
4 calls:
Slowest
18.0ms
(/ (tan (* PI l)) F)
17.0ms
(tan (* PI l))
11.0ms
(* PI l)
11.0ms
(* PI l)

series290.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
155.0ms
(/ (tan (* PI l)) F)
75.0ms
(tan (* PI l))
31.0ms
(* PI l)
28.0ms
(* PI l)

simplify1.8s

Counts
55 → 96
Calls
55 calls:
Slowest
388.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
325.0ms
(* (* (* PI PI) PI) (* (* l l) l))
279.0ms
(* (* (* PI PI) PI) (* (* l l) l))
198.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))
168.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune953.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.3b

localize36.0ms

Local error

Found 4 expressions with local error:

3.5b
(tan (* PI l))
1.0b
(/ 1 (/ F (tan (* PI l))))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite42.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 136
Calls
4 calls:
Slowest
16.0ms
(tan (* PI l))
14.0ms
(/ 1 (/ F (tan (* PI l))))
5.0ms
(* PI l)
5.0ms
(* PI l)

series321.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
156.0ms
(/ 1 (/ F (tan (* PI l))))
96.0ms
(tan (* PI l))
39.0ms
(* PI l)
30.0ms
(* PI l)

simplify6.6s

Counts
138 → 148
Calls
138 calls:
Slowest
445.0ms
(/ (* (* 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))))))
282.0ms
(/ (sqrt 1) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))
272.0ms
(* (* (* PI PI) PI) (* (* l l) l))
248.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune1.7s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.3b

localize36.0ms

Local error

Found 4 expressions with local error:

3.5b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(* (/ 1 F) (tan (* PI l)))

rewrite100.0ms

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×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u 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
Counts
4 → 93
Calls
4 calls:
Slowest
55.0ms
(* (/ 1 F) (tan (* PI l)))
22.0ms
(tan (* PI l))
11.0ms
(* PI l)
10.0ms
(* PI l)

series313.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
153.0ms
(* (/ 1 F) (tan (* PI l)))
113.0ms
(tan (* PI l))
25.0ms
(* PI l)
22.0ms
(* PI l)

simplify2.7s

Counts
61 → 105
Calls
61 calls:
Slowest
491.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))))
398.0ms
(* (/ (* (* 1 1) 1) (* (* F F) F)) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))))
350.0ms
(* (* (* PI PI) PI) (* (* l l) l))
321.0ms
(* (* (* PI PI) PI) (* (* l l) l))
186.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune1.0s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.3b

regimes333.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample20.1s

Algorithm
intervals
Results
17.6s7664×body10240exit
1.9s8868×body80valid
115.0ms256×body160valid