Details

Time bar (total: 40.6s)

sample1.2s

Algorithm
intervals
Results
1.0s290×body10240exit
106.0ms289×body80valid
2.0ms5×body160valid

simplify772.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
771.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.5b

localize17.0ms

Local error

Found 4 expressions with local error:

6.2b
(/ (tan (* PI l)) (* F F))
3.5b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite46.0ms

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
24.0ms
(/ (tan (* PI l)) (* F F))
11.0ms
(tan (* PI l))
5.0ms
(* PI l)
5.0ms
(* PI l)

series333.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
188.0ms
(/ (tan (* PI l)) (* F F))
94.0ms
(tan (* PI l))
28.0ms
(* PI l)
22.0ms
(* PI l)

simplify2.1s

Counts
43 → 82
Calls
43 calls:
Slowest
356.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
342.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) F) (* (* F F) F)))
291.0ms
(+ (/ (* 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)))))
260.0ms
(* (* (* PI PI) PI) (* (* l l) l))
258.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune772.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.3b

localize25.0ms

Local error

Found 4 expressions with local error:

3.5b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(/ (tan (* PI l)) F)

rewrite28.0ms

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
10.0ms
(/ (tan (* PI l)) F)
8.0ms
(tan (* PI l))
5.0ms
(* PI l)
5.0ms
(* PI l)

series236.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
122.0ms
(/ (tan (* PI l)) F)
65.0ms
(tan (* PI l))
28.0ms
(* PI l)
22.0ms
(* PI l)

simplify1.8s

Counts
55 → 88
Calls
55 calls:
Slowest
492.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
266.0ms
(* (* (* PI PI) PI) (* (* l l) l))
257.0ms
(* (* (* PI PI) PI) (* (* l l) l))
226.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))
130.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune823.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

3.5b
(tan (* PI l))
1.0b
(/ 1 (/ F (tan (* PI l))))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite49.0ms

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
20.0ms
(/ 1 (/ F (tan (* PI l))))
10.0ms
(* PI l)
8.0ms
(* PI l)
8.0ms
(tan (* PI l))

series239.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
125.0ms
(/ 1 (/ F (tan (* PI l))))
65.0ms
(tan (* PI l))
27.0ms
(* PI l)
22.0ms
(* PI l)

simplify6.6s

Counts
138 → 140
Calls
138 calls:
Slowest
454.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))
378.0ms
(/ (* (* 1 1) 1) (* (* (/ F (tan (* PI l))) (/ F (tan (* PI l)))) (/ F (tan (* PI l)))))
321.0ms
(* (* (* PI PI) PI) (* (* l l) l))
300.0ms
(* (* (* PI PI) PI) (* (* l l) l))
298.0ms
(/ (sqrt 1) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))

prune1.5s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

3.5b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(/ (tan (* PI l)) F)

rewrite50.0ms

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
27.0ms
(/ (tan (* PI l)) F)
9.0ms
(* PI l)
8.0ms
(tan (* PI l))
5.0ms
(* PI l)

series271.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
133.0ms
(/ (tan (* PI l)) F)
76.0ms
(tan (* PI l))
31.0ms
(* PI l)
31.0ms
(* PI l)

simplify1.7s

Counts
55 → 88
Calls
55 calls:
Slowest
431.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
274.0ms
(* (* (* PI PI) PI) (* (* l l) l))
266.0ms
(* (* (* 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))))
160.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune888.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.3b

regimes480.0ms

Accuracy

0% (0.3b remaining)

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

bsearch3.0ms

end0.0ms

sample20.6s

Algorithm
intervals
Results
17.8s7664×body10240exit
2.2s8868×body80valid
150.0ms256×body160valid