Details

Time bar (total: 36.5s)

sample951.0ms

Algorithm
intervals
Results
604.0ms270×body10240exit
97.0ms291×body80valid
5.0ms9×body160valid

simplify324.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
323.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.6b

localize16.0ms

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×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))
13.0ms
(tan (* PI l))
5.0ms
(* PI l)
5.0ms
(* PI l)

series352.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
198.0ms
(/ (tan (* PI l)) (* F F))
103.0ms
(tan (* PI l))
28.0ms
(* PI l)
22.0ms
(* PI l)

simplify2.8s

Counts
43 → 90
Calls
43 calls:
Slowest
728.0ms
(+ (/ (* 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)))))
425.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
406.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) F) (* (* F F) F)))
300.0ms
(* (* (* PI PI) PI) (* (* l l) l))
244.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune921.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

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)

rewrite39.0ms

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
14.0ms
(/ (tan (* PI l)) F)
10.0ms
(* PI l)
8.0ms
(tan (* PI l))
6.0ms
(* PI l)

series311.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
137.0ms
(/ (tan (* PI l)) F)
91.0ms
(tan (* PI l))
46.0ms
(* PI l)
38.0ms
(* PI l)

simplify1.9s

Counts
55 → 96
Calls
55 calls:
Slowest
480.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
299.0ms
(* (* (* PI PI) PI) (* (* l l) l))
275.0ms
(* (* (* PI PI) PI) (* (* l l) l))
210.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))
195.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))

prune899.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

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)

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
27.0ms
(/ (tan (* PI l)) F)
11.0ms
(* PI l)
8.0ms
(tan (* PI l))
8.0ms
(* PI l)

series342.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
173.0ms
(/ (tan (* PI l)) F)
87.0ms
(tan (* PI l))
46.0ms
(* PI l)
36.0ms
(* PI l)

simplify1.8s

Counts
55 → 96
Calls
55 calls:
Slowest
475.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
307.0ms
(* (* (* PI PI) PI) (* (* l l) l))
260.0ms
(* (* (* PI PI) PI) (* (* l l) l))
198.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))
176.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))

prune982.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.5b

localize32.0ms

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)

rewrite45.0ms

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
25.0ms
(* (tan (* PI l)) (/ 1 F))
8.0ms
(tan (* PI l))
5.0ms
(* PI l)
5.0ms
(* PI l)

series324.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
156.0ms
(* (tan (* PI l)) (/ 1 F))
89.0ms
(tan (* PI l))
42.0ms
(* PI l)
37.0ms
(* PI l)

simplify2.6s

Counts
61 → 106
Calls
61 calls:
Slowest
471.0ms
(* (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (/ 1 F) (/ 1 F)) (/ 1 F)))
323.0ms
(* (* (* PI PI) PI) (* (* l l) l))
318.0ms
(* (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (/ (* (* 1 1) 1) (* (* F F) F)))
286.0ms
(* (* (* PI PI) PI) (* (* l l) l))
219.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))

prune1.0s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.5b

regimes439.0ms

Accuracy

0% (0.3b remaining)

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

bsearch3.0ms

end0.0ms

sample20.2s

Algorithm
intervals
Results
17.6s7809×body10240exit
1.9s8929×body80valid
165.0ms292×body160valid