Details

Time bar (total: 39.5s)

sample825.0ms

Algorithm
intervals
Results
661.0ms279×body10240exit
66.0ms284×body80valid
5.0ms9×body160valid

simplify312.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
312.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.9b

localize16.0ms

Local error

Found 4 expressions with local error:

7.7b
(/ (tan (* PI l)) (* F F))
3.3b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite83.0ms

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
29.0ms
(/ (tan (* PI l)) (* F F))
23.0ms
(* PI l)
15.0ms
(tan (* PI l))
11.0ms
(* PI l)

series344.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
185.0ms
(/ (tan (* PI l)) (* F F))
110.0ms
(tan (* PI l))
25.0ms
(* PI l)
24.0ms
(* PI l)

simplify2.2s

Counts
43 → 82
Calls
43 calls:
Slowest
418.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) F) (* (* F F) F)))
379.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
308.0ms
(* (* (* PI PI) PI) (* (* l l) l))
308.0ms
(* (* (* PI PI) PI) (* (* l l) l))
272.0ms
(+ (/ (* 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)))))

prune766.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

3.3b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* 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×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)) F)
16.0ms
(tan (* PI l))
10.0ms
(* PI l)
10.0ms
(* PI l)

series320.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
148.0ms
(/ (tan (* PI l)) F)
98.0ms
(tan (* PI l))
37.0ms
(* PI l)
37.0ms
(* PI l)

simplify1.7s

Counts
55 → 88
Calls
55 calls:
Slowest
386.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
287.0ms
(* (* (* PI PI) PI) (* (* l l) l))
273.0ms
(* (* (* PI PI) PI) (* (* l l) l))
192.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))
137.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune791.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

3.3b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(/ (tan (* PI l)) F)

rewrite54.0ms

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))
15.0ms
(* PI l)
12.0ms
(/ (tan (* PI l)) F)
10.0ms
(* PI l)

series282.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
146.0ms
(/ (tan (* PI l)) F)
87.0ms
(tan (* PI l))
27.0ms
(* PI l)
23.0ms
(* PI l)

simplify1.8s

Counts
55 → 88
Calls
55 calls:
Slowest
411.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
289.0ms
(* (* (* PI PI) PI) (* (* l l) l))
254.0ms
(* (* (* 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)))

prune1.0s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 4 expressions with local error:

3.3b
(tan (* PI l))
0.5b
(/ 1 (/ F (tan (* PI l))))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
55×add-sqr-sqrt
51×*-un-lft-identity add-cube-cbrt
19×add-exp-log
14×associate-/r*
13×add-cbrt-cube
9×pow1
7×div-exp
6×associate-*r* associate-*l*
5×tan-quot associate-/r/ div-inv
4×insert-posit16 add-log-exp
3×cbrt-undiv associate-/l*
2×rec-exp 1-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×clear-num frac-2neg pow-flip inv-pow
Counts
4 → 128
Calls
4 calls:
Slowest
34.0ms
(/ 1 (/ F (tan (* PI l))))
16.0ms
(tan (* PI l))
10.0ms
(* PI l)
10.0ms
(* PI l)

series351.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
180.0ms
(/ 1 (/ F (tan (* PI l))))
119.0ms
(tan (* PI l))
28.0ms
(* PI l)
24.0ms
(* PI l)

simplify6.7s

Counts
138 → 140
Calls
138 calls:
Slowest
594.0ms
(/ (* (* 1 1) 1) (* (* (/ F (tan (* PI l))) (/ F (tan (* PI l)))) (/ F (tan (* PI l)))))
320.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))
284.0ms
(* (* (* PI PI) PI) (* (* l l) l))
266.0ms
(* (* (* PI PI) PI) (* (* l l) l))
257.0ms
(/ (sqrt 1) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))

prune1.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

regimes287.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch2.0ms

end0.0ms

sample20.2s

Algorithm
intervals
Results
17.9s7791×body10240exit
1.9s8963×body80valid
124.0ms271×body160valid