Details

Time bar (total: 39.6s)

sample729.0ms

Algorithm
intervals
Results
532.0ms278×body10240exit
56.0ms292×body80valid
3.0ms9×body160valid

simplify243.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
242.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.5b

localize33.0ms

Local error

Found 4 expressions with local error:

11.1b
(/ (tan (* PI l)) (* F F))
3.6b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite63.0ms

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))
19.0ms
(tan (* PI l))
5.0ms
(* PI l)
5.0ms
(* PI l)

series342.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
177.0ms
(/ (tan (* PI l)) (* F F))
91.0ms
(tan (* PI l))
37.0ms
(* PI l)
37.0ms
(* PI l)

simplify2.1s

Counts
43 → 90
Calls
43 calls:
Slowest
365.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
330.0ms
(+ (/ (* 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)))))
317.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) F) (* (* F F) F)))
311.0ms
(* (* (* PI PI) PI) (* (* l l) l))
254.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune938.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.6b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

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
17.0ms
(tan (* PI l))
14.0ms
(/ (tan (* PI l)) F)
5.0ms
(* PI l)
5.0ms
(* PI l)

series309.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
157.0ms
(/ (tan (* PI l)) F)
84.0ms
(tan (* PI l))
37.0ms
(* PI l)
30.0ms
(* PI l)

simplify1.9s

Counts
55 → 96
Calls
55 calls:
Slowest
428.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
294.0ms
(* (* (* PI PI) PI) (* (* l l) l))
283.0ms
(* (* (* PI PI) PI) (* (* l l) l))
187.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))
184.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune1.0s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.5b

localize31.0ms

Local error

Found 4 expressions with local error:

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

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
22.0ms
(/ (tan (* PI l)) F)
17.0ms
(tan (* PI l))
16.0ms
(* PI l)
10.0ms
(* PI l)

series246.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
133.0ms
(/ (tan (* PI l)) F)
70.0ms
(tan (* PI l))
22.0ms
(* PI l)
21.0ms
(* PI l)

simplify1.8s

Counts
55 → 96
Calls
55 calls:
Slowest
454.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
294.0ms
(* (* (* PI PI) PI) (* (* l l) l))
270.0ms
(* (* (* PI PI) PI) (* (* l l) l))
185.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))
173.0ms
(+ (* 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 (21 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 4 expressions with local error:

3.6b
(tan (* PI l))
1.1b
(/ 1 (/ F (tan (* PI l))))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite46.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 136
Calls
4 calls:
Slowest
26.0ms
(/ 1 (/ F (tan (* PI l))))
8.0ms
(tan (* PI l))
5.0ms
(* PI l)
5.0ms
(* PI l)

series300.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
139.0ms
(/ 1 (/ F (tan (* PI l))))
90.0ms
(tan (* PI l))
37.0ms
(* PI l)
34.0ms
(* PI l)

simplify6.7s

Counts
138 → 148
Calls
138 calls:
Slowest
672.0ms
(* (* (* PI PI) PI) (* (* l l) l))
456.0ms
(/ (* (* 1 1) 1) (* (* (/ F (tan (* PI l))) (/ F (tan (* PI l)))) (/ F (tan (* PI l)))))
298.0ms
(* (* (* PI PI) PI) (* (* l l) l))
287.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))
282.0ms
(/ (sqrt 1) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))

prune1.4s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.5b

regimes515.0ms

Accuracy

0% (0.6b remaining)

Error of 1.2b against oracle of 0.5b and baseline of 1.2b

bsearch2.0ms

end0.0ms

sample19.6s

Algorithm
intervals
Results
17.2s7714×body10240exit
1.9s8849×body80valid
134.0ms284×body160valid