Details

Time bar (total: 37.6s)

sample813.0ms

Algorithm
intervals
Results
450.0ms263×body10240exit
80.0ms286×body80valid
3.0ms8×body160valid

simplify268.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
268.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.9b

localize20.0ms

Local error

Found 4 expressions with local error:

6.4b
(/ (tan (* PI l)) (* F F))
2.7b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite56.0ms

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
20.0ms
(* PI l)
15.0ms
(/ (tan (* PI l)) (* F F))
10.0ms
(* PI l)
8.0ms
(tan (* PI l))

series275.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
153.0ms
(/ (tan (* PI l)) (* F F))
67.0ms
(tan (* PI l))
30.0ms
(* PI l)
26.0ms
(* PI l)

simplify2.8s

Counts
43 → 90
Calls
43 calls:
Slowest
703.0ms
(+ (/ (* 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)))))
402.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
395.0ms
(* (* (* PI PI) PI) (* (* l l) l))
392.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) F) (* (* F F) F)))
384.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune861.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 4 expressions with local error:

2.7b
(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×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))
11.0ms
(/ (tan (* PI l)) F)
11.0ms
(* PI l)
9.0ms
(* PI l)

series302.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
147.0ms
(/ (tan (* PI l)) F)
80.0ms
(tan (* PI l))
38.0ms
(* PI l)
37.0ms
(* PI l)

simplify2.0s

Counts
55 → 96
Calls
55 calls:
Slowest
485.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
384.0ms
(* (* (* PI PI) PI) (* (* l l) l))
379.0ms
(* (* (* PI PI) PI) (* (* l l) l))
208.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))
206.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))

prune927.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.5b

localize36.0ms

Local error

Found 4 expressions with local error:

2.7b
(tan (* PI l))
0.3b
(* (tan (* PI l)) (/ 1 F))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
19×associate-*r*
17×*-un-lft-identity add-exp-log
16×add-cube-cbrt
13×add-cbrt-cube
11×times-frac
10×pow1
9×associate-*l*
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/ un-div-inv div-inv
Counts
4 → 94
Calls
4 calls:
Slowest
40.0ms
(* (tan (* PI l)) (/ 1 F))
17.0ms
(tan (* PI l))
8.0ms
(* PI l)
5.0ms
(* PI l)

series354.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
175.0ms
(* (tan (* PI l)) (/ 1 F))
97.0ms
(tan (* PI l))
43.0ms
(* PI l)
39.0ms
(* PI l)

simplify2.8s

Counts
61 → 106
Calls
61 calls:
Slowest
519.0ms
(* (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (/ 1 F) (/ 1 F)) (/ 1 F)))
349.0ms
(* (* (* PI PI) PI) (* (* l l) l))
348.0ms
(* (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (/ (* (* 1 1) 1) (* (* F F) F)))
313.0ms
(* (* (* PI PI) PI) (* (* l l) l))
243.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))

prune1.1s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.5b

localize39.0ms

Local error

Found 4 expressions with local error:

2.7b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(/ (tan (* PI l)) F)

rewrite63.0ms

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
23.0ms
(/ (tan (* PI l)) F)
17.0ms
(tan (* PI l))
11.0ms
(* PI l)
10.0ms
(* PI l)

series274.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
138.0ms
(/ (tan (* PI l)) F)
82.0ms
(tan (* PI l))
33.0ms
(* PI l)
21.0ms
(* PI l)

simplify2.1s

Counts
55 → 96
Calls
55 calls:
Slowest
477.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
358.0ms
(* (* (* PI PI) PI) (* (* l l) l))
329.0ms
(* (* (* PI PI) PI) (* (* l l) l))
210.0ms
(+ (* 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)))

prune1.0s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.5b

regimes468.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample20.7s

Algorithm
intervals
Results
18.2s7798×body10240exit
2.0s8897×body80valid
131.0ms271×body160valid