Details

Time bar (total: 39.3s)

sample720.0ms

Algorithm
intervals
Results
479.0ms251×body10240exit
103.0ms291×body80valid
4.0ms12×body160valid

simplify230.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
228.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.9b

localize34.0ms

Local error

Found 4 expressions with local error:

8.1b
(/ (tan (* PI l)) (* F F))
4.6b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite61.0ms

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
38.0ms
(/ (tan (* PI l)) (* F F))
9.0ms
(tan (* PI l))
6.0ms
(* PI l)
6.0ms
(* PI l)

series308.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
147.0ms
(/ (tan (* PI l)) (* F F))
76.0ms
(tan (* PI l))
44.0ms
(* PI l)
41.0ms
(* PI l)

simplify2.2s

Counts
43 → 82
Calls
43 calls:
Slowest
452.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) F) (* (* F F) F)))
398.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
310.0ms
(+ (/ (* 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)))))
281.0ms
(* (* (* PI PI) PI) (* (* l l) l))
252.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune1.2s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.8b

localize21.0ms

Local error

Found 4 expressions with local error:

4.6b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(/ (tan (* PI l)) F)

rewrite47.0ms

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
18.0ms
(tan (* PI l))
12.0ms
(/ (tan (* PI l)) F)
9.0ms
(* PI l)
8.0ms
(* PI l)

series284.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
128.0ms
(/ (tan (* PI l)) F)
76.0ms
(tan (* PI l))
43.0ms
(* PI l)
37.0ms
(* PI l)

simplify1.8s

Counts
55 → 88
Calls
55 calls:
Slowest
438.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
280.0ms
(* (* (* PI PI) PI) (* (* l l) l))
260.0ms
(* (* (* 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))))
177.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune879.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 0.7b

localize37.0ms

Local error

Found 4 expressions with local error:

4.6b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(* (/ 1 F) (/ (tan (* PI l)) F))

rewrite41.0ms

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×cbrt-undiv insert-posit16 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 → 104
Calls
4 calls:
Slowest
19.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
9.0ms
(tan (* PI l))
6.0ms
(* PI l)
6.0ms
(* PI l)

series314.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
161.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
99.0ms
(tan (* PI l))
33.0ms
(* PI l)
21.0ms
(* PI l)

simplify4.4s

Counts
82 → 116
Calls
82 calls:
Slowest
511.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (/ (tan (* PI l)) F) (/ (tan (* PI l)) F)) (/ (tan (* PI l)) F)))
260.0ms
(* (/ (* (* 1 1) 1) (* (* F F) F)) (/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F)))
254.0ms
(* (* (* PI PI) PI) (* (* l l) l))
243.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F)))
222.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune1.3s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 0.7b

localize26.0ms

Local error

Found 4 expressions with local error:

4.6b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.3b
(* (/ 1 F) (tan (* PI l)))

rewrite73.0ms

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×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/ div-inv
Counts
4 → 85
Calls
4 calls:
Slowest
39.0ms
(* (/ 1 F) (tan (* PI l)))
18.0ms
(tan (* PI l))
9.0ms
(* PI l)
5.0ms
(* PI l)

series295.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
133.0ms
(* (/ 1 F) (tan (* PI l)))
110.0ms
(tan (* PI l))
27.0ms
(* PI l)
25.0ms
(* PI l)

simplify2.6s

Counts
61 → 97
Calls
61 calls:
Slowest
510.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))))
397.0ms
(* (/ (* (* 1 1) 1) (* (* F F) F)) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))))
320.0ms
(* (* (* PI PI) PI) (* (* l l) l))
260.0ms
(* (* (* PI PI) PI) (* (* l l) l))
127.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune1.1s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 0.7b

regimes686.0ms

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
17.3s7882×body10240exit
2.8s8909×body80valid
149.0ms261×body160valid