Details

Time bar (total: 37.4s)

sample1.0s

Algorithm
intervals
Results
674.0ms270×body10240exit
81.0ms291×body80valid
6.0ms9×body160valid

simplify750.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
749.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.6b

localize22.0ms

Local error

Found 4 expressions with local error:

9.1b
(/ (tan (* PI l)) (* F F))
4.0b
(tan (* PI l))
0.2b
(* PI l)
0.2b
(* PI l)

rewrite57.0ms

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
36.0ms
(/ (tan (* PI l)) (* F F))
8.0ms
(tan (* PI l))
5.0ms
(* PI l)
5.0ms
(* PI l)

series321.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
152.0ms
(/ (tan (* PI l)) (* F F))
105.0ms
(tan (* PI l))
39.0ms
(* PI l)
25.0ms
(* PI l)

simplify2.1s

Counts
43 → 82
Calls
43 calls:
Slowest
375.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) F) (* (* F F) F)))
344.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
315.0ms
(* (* (* PI PI) PI) (* (* l l) l))
263.0ms
(+ (/ (* 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)))))
244.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune920.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.5b

localize30.0ms

Local error

Found 4 expressions with local error:

4.0b
(tan (* PI l))
0.2b
(* PI l)
0.2b
(* PI l)
0.2b
(/ (tan (* PI l)) F)

rewrite67.0ms

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
23.0ms
(/ (tan (* PI l)) F)
16.0ms
(tan (* PI l))
16.0ms
(* PI l)
10.0ms
(* PI l)

series273.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
133.0ms
(/ (tan (* PI l)) F)
85.0ms
(tan (* PI l))
34.0ms
(* PI l)
21.0ms
(* PI l)

simplify1.7s

Counts
55 → 88
Calls
55 calls:
Slowest
390.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
276.0ms
(* (* (* PI PI) PI) (* (* l l) l))
275.0ms
(* (* (* PI PI) PI) (* (* l l) l))
193.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))
155.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune983.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.5b

localize30.0ms

Local error

Found 4 expressions with local error:

4.0b
(tan (* PI l))
0.2b
(* PI l)
0.2b
(* PI l)
0.2b
(/ (tan (* PI l)) F)

rewrite53.0ms

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
16.0ms
(tan (* PI l))
14.0ms
(/ (tan (* PI l)) F)
11.0ms
(* PI l)
11.0ms
(* PI l)

series246.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
139.0ms
(/ (tan (* PI l)) F)
61.0ms
(tan (* PI l))
25.0ms
(* PI l)
21.0ms
(* PI l)

simplify1.9s

Counts
55 → 88
Calls
55 calls:
Slowest
482.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
318.0ms
(* (* (* PI PI) PI) (* (* l l) l))
269.0ms
(* (* (* PI PI) PI) (* (* l l) l))
174.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))
155.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))

prune1.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.5b

localize33.0ms

Local error

Found 4 expressions with local error:

4.0b
(tan (* PI l))
0.3b
(* (tan (* PI l)) (/ 1 F))
0.2b
(* PI l)
0.2b
(* PI l)

rewrite75.0ms

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×cbrt-unprod insert-posit16 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 → 86
Calls
4 calls:
Slowest
48.0ms
(* (tan (* PI l)) (/ 1 F))
16.0ms
(tan (* PI l))
5.0ms
(* PI l)
5.0ms
(* PI l)

series289.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
127.0ms
(* (tan (* PI l)) (/ 1 F))
98.0ms
(tan (* PI l))
33.0ms
(* PI l)
31.0ms
(* PI l)

simplify2.8s

Counts
61 → 98
Calls
61 calls:
Slowest
486.0ms
(* (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (/ 1 F) (/ 1 F)) (/ 1 F)))
399.0ms
(* (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (/ (* (* 1 1) 1) (* (* F F) F)))
340.0ms
(* (* (* PI PI) PI) (* (* l l) l))
270.0ms
(* (* (* PI PI) PI) (* (* l l) l))
211.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))

prune937.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.5b

regimes704.0ms

Accuracy

0% (0.5b remaining)

Error of 0.9b against oracle of 0.5b and baseline of 0.9b

bsearch5.0ms

end0.0ms

sample21.0s

Algorithm
intervals
Results
17.8s7809×body10240exit
2.6s8929×body80valid
142.0ms292×body160valid