Details

Time bar (total: 39.6s)

sample1.1s

Algorithm
intervals
Results
828.0ms278×body10240exit
126.0ms292×body80valid
5.0ms9×body160valid

simplify302.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
302.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune17.0ms

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)

rewrite49.0ms

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
23.0ms
(/ (tan (* PI l)) (* F F))
11.0ms
(* PI l)
8.0ms
(tan (* PI l))
5.0ms
(* PI l)

series325.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
150.0ms
(/ (tan (* PI l)) (* F F))
100.0ms
(tan (* PI l))
38.0ms
(* PI l)
37.0ms
(* PI l)

simplify2.1s

Counts
43 → 82
Calls
43 calls:
Slowest
407.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
316.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) F) (* (* F F) F)))
293.0ms
(* (* (* PI PI) PI) (* (* l l) l))
293.0ms
(+ (/ (* 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)))))
258.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune801.0ms

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

rewrite37.0ms

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
11.0ms
(/ (tan (* PI l)) F)
10.0ms
(* PI l)
8.0ms
(tan (* PI l))
6.0ms
(* PI l)

series316.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
154.0ms
(/ (tan (* PI l)) F)
86.0ms
(tan (* PI l))
39.0ms
(* PI l)
37.0ms
(* PI l)

simplify1.7s

Counts
55 → 88
Calls
55 calls:
Slowest
434.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
277.0ms
(* (* (* PI PI) PI) (* (* l l) l))
248.0ms
(* (* (* PI PI) PI) (* (* l l) l))
182.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))
126.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune970.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.5b

localize30.0ms

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)

rewrite59.0ms

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
22.0ms
(/ (tan (* PI l)) F)
15.0ms
(tan (* PI l))
10.0ms
(* PI l)
10.0ms
(* PI l)

series330.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
153.0ms
(/ (tan (* PI l)) F)
110.0ms
(tan (* PI l))
40.0ms
(* PI l)
26.0ms
(* PI l)

simplify1.7s

Counts
55 → 88
Calls
55 calls:
Slowest
451.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
288.0ms
(* (* (* PI PI) PI) (* (* l l) l))
261.0ms
(* (* (* PI PI) PI) (* (* l l) l))
164.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))
139.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune928.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 0.5b

localize41.0ms

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)

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
22.0ms
(/ 1 (/ F (tan (* PI l))))
15.0ms
(tan (* PI l))
5.0ms
(* PI l)
5.0ms
(* PI l)

series260.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
147.0ms
(/ 1 (/ F (tan (* PI l))))
65.0ms
(tan (* PI l))
26.0ms
(* PI l)
22.0ms
(* PI l)

simplify6.2s

Counts
138 → 140
Calls
138 calls:
Slowest
543.0ms
(/ (* (* 1 1) 1) (* (* (/ F (tan (* PI l))) (/ F (tan (* PI l)))) (/ F (tan (* PI l)))))
287.0ms
(* (* (* PI PI) PI) (* (* l l) l))
285.0ms
(/ (* (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))))))
237.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune1.3s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 0.5b

regimes585.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch3.0ms

end0.0ms

sample20.4s

Algorithm
intervals
Results
17.8s7714×body10240exit
2.0s8849×body80valid
135.0ms284×body160valid