Details

Time bar (total: 39.5s)

sample828.0ms

Algorithm
intervals
Results
658.0ms238×body10240exit
100.0ms292×body80valid
4.0ms7×body160valid

simplify291.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
290.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize41.0ms

Local error

Found 4 expressions with local error:

6.7b
(/ (tan (* PI l)) (* F F))
3.6b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite54.0ms

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))
10.0ms
(tan (* PI l))
6.0ms
(* PI l)
5.0ms
(* PI l)

series380.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
196.0ms
(/ (tan (* PI l)) (* F F))
107.0ms
(tan (* PI l))
39.0ms
(* PI l)
37.0ms
(* PI l)

simplify2.2s

Counts
43 → 90
Calls
43 calls:
Slowest
377.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) F) (* (* F F) F)))
375.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
350.0ms
(+ (/ (* 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)))))
276.0ms
(* (* (* PI PI) PI) (* (* l l) l))
262.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune1.0s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.6b

localize29.0ms

Local error

Found 4 expressions with local error:

3.6b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* 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×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
27.0ms
(/ (tan (* PI l)) F)
17.0ms
(tan (* PI l))
11.0ms
(* PI l)
11.0ms
(* PI l)

series228.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
120.0ms
(/ (tan (* PI l)) F)
60.0ms
(tan (* PI l))
29.0ms
(* PI l)
20.0ms
(* PI l)

simplify1.9s

Counts
55 → 96
Calls
55 calls:
Slowest
467.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
267.0ms
(* (* (* PI PI) PI) (* (* l l) l))
233.0ms
(* (* (* PI PI) PI) (* (* l l) l))
232.0ms
(+ (* 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)))

prune971.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.6b

localize17.0ms

Local error

Found 4 expressions with local error:

3.6b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(* (/ 1 F) (/ (tan (* PI l)) F))

rewrite46.0ms

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
18.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
10.0ms
(* PI l)
9.0ms
(* PI l)
8.0ms
(tan (* PI l))

series312.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
159.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
80.0ms
(tan (* PI l))
41.0ms
(* PI l)
32.0ms
(* PI l)

simplify4.3s

Counts
82 → 124
Calls
82 calls:
Slowest
493.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (/ (tan (* PI l)) F) (/ (tan (* PI l)) F)) (/ (tan (* PI l)) F)))
401.0ms
(/ (cbrt (tan (* PI l))) (cbrt F))
352.0ms
(* (* (* PI PI) PI) (* (* l l) l))
316.0ms
(* (* (* PI PI) PI) (* (* l l) l))
187.0ms
(* (/ (* (* 1 1) 1) (* (* F F) F)) (/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F)))

prune1.4s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.6b

localize17.0ms

Local error

Found 4 expressions with local error:

3.6b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.3b
(* (/ 1 F) (tan (* PI l)))

rewrite86.0ms

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
58.0ms
(* (/ 1 F) (tan (* PI l)))
10.0ms
(* PI l)
8.0ms
(tan (* PI l))
8.0ms
(* PI l)

series273.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
132.0ms
(* (/ 1 F) (tan (* PI l)))
86.0ms
(tan (* PI l))
33.0ms
(* PI l)
23.0ms
(* PI l)

simplify2.5s

Counts
61 → 105
Calls
61 calls:
Slowest
492.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))))
369.0ms
(* (/ (* (* 1 1) 1) (* (* F F) F)) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))))
281.0ms
(* (* (* PI PI) PI) (* (* l l) l))
262.0ms
(* (* (* PI PI) PI) (* (* l l) l))
184.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune1.1s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.6b

regimes546.0ms

Accuracy

0% (0.3b remaining)

Error of 0.8b against oracle of 0.5b and baseline of 0.8b

bsearch2.0ms

end0.0ms

sample20.8s

Algorithm
intervals
Results
18.1s7764×body10240exit
2.1s8843×body80valid
182.0ms273×body160valid