Details

Time bar (total: 42.9s)

sample723.0ms

Algorithm
intervals
Results
526.0ms233×body10240exit
63.0ms267×body80valid
6.0ms12×body160valid

simplify262.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
261.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.1b

localize33.0ms

Local error

Found 4 expressions with local error:

5.7b
(/ (tan (* PI l)) (* F F))
5.1b
(tan (* PI l))
0.2b
(* PI l)
0.2b
(* PI l)

rewrite72.0ms

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
31.0ms
(/ (tan (* PI l)) (* F F))
17.0ms
(tan (* PI l))
11.0ms
(* PI l)
10.0ms
(* PI l)

series356.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
192.0ms
(/ (tan (* PI l)) (* F F))
86.0ms
(tan (* PI l))
39.0ms
(* PI l)
38.0ms
(* PI l)

simplify2.3s

Counts
43 → 90
Calls
43 calls:
Slowest
396.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) F) (* (* F F) F)))
373.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
299.0ms
(+ (/ (* 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)))))
288.0ms
(* (* (* PI PI) PI) (* (* l l) l))
271.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune902.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.4b

localize24.0ms

Local error

Found 4 expressions with local error:

5.1b
(tan (* PI l))
0.2b
(* PI l)
0.2b
(* PI l)
0.2b
(/ (tan (* PI l)) F)

rewrite55.0ms

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
16.0ms
(tan (* PI l))
15.0ms
(* PI l)
11.0ms
(/ (tan (* PI l)) F)
11.0ms
(* PI l)

series313.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
147.0ms
(/ (tan (* PI l)) F)
88.0ms
(tan (* PI l))
41.0ms
(* PI l)
37.0ms
(* PI l)

simplify1.8s

Counts
55 → 96
Calls
55 calls:
Slowest
392.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
334.0ms
(* (* (* PI PI) PI) (* (* l l) l))
256.0ms
(* (* (* PI PI) PI) (* (* l l) l))
189.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))
179.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune976.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.4b

localize27.0ms

Local error

Found 4 expressions with local error:

5.1b
(tan (* PI l))
0.7b
(/ 1 (/ F (tan (* PI l))))
0.2b
(* PI l)
0.2b
(* PI l)

rewrite77.0ms

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
34.0ms
(/ 1 (/ F (tan (* PI l))))
17.0ms
(tan (* PI l))
12.0ms
(* PI l)
11.0ms
(* PI l)

series343.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
182.0ms
(/ 1 (/ F (tan (* PI l))))
98.0ms
(tan (* PI l))
38.0ms
(* PI l)
25.0ms
(* PI l)

simplify6.7s

Counts
138 → 148
Calls
138 calls:
Slowest
526.0ms
(/ (* (* 1 1) 1) (* (* (/ F (tan (* PI l))) (/ F (tan (* PI l)))) (/ F (tan (* PI l)))))
305.0ms
(/ (sqrt 1) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))
304.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))
273.0ms
(* (* (* PI PI) PI) (* (* l l) l))
268.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune1.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.4b

localize36.0ms

Local error

Found 4 expressions with local error:

5.1b
(tan (* PI l))
0.2b
(* (/ 1 F) (/ (tan (* PI l)) F))
0.2b
(* PI l)
0.2b
(* PI l)

rewrite64.0ms

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×expm1-log1p-u cbrt-undiv insert-posit16 log1p-expm1-u 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 → 112
Calls
4 calls:
Slowest
29.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
16.0ms
(tan (* PI l))
11.0ms
(* PI l)
6.0ms
(* PI l)

series366.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
193.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
98.0ms
(tan (* PI l))
38.0ms
(* PI l)
37.0ms
(* PI l)

simplify4.7s

Counts
82 → 124
Calls
82 calls:
Slowest
688.0ms
(* (* (* PI PI) PI) (* (* l l) l))
447.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (/ (tan (* PI l)) F) (/ (tan (* PI l)) F)) (/ (tan (* PI l)) F)))
279.0ms
(* (* (* PI PI) PI) (* (* l l) l))
237.0ms
(* (/ (* (* 1 1) 1) (* (* F F) F)) (/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F)))
212.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F)))

prune1.1s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.4b

regimes471.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample19.7s

Algorithm
intervals
Results
16.8s7770×body10240exit
2.3s8922×body80valid
126.0ms252×body160valid