Details

sample1.4s

Algorithm

intervals

Results

1.2s	249×	body	10240	exit
71.0ms	283×	body	80	valid
3.0ms	5×	body	160	valid

simplify304.0ms

Calls

1 calls:

Slowest

303.0ms

(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.0b

localize29.0ms

Local error

Found 4 expressions with local error:

8.1b	(/ (tan (* PI l)) (* F F))
3.6b	(tan (* PI l))
0.2b	(* PI l)
0.2b	(* PI l)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`tan-quot` `*-commutative`
1×	`cbrt-undiv` `clear-num` `associate-/r*` `frac-2neg` `div-exp` `div-inv` `associate-/l/`

Calls

4 calls:

Slowest

11.0ms	(/ (tan (* PI l)) (* F F))
3.0ms	(tan (* PI l))
0.0ms	(* PI l)
0.0ms	(* PI l)

series353.0ms

Calls

4 calls:

Slowest

194.0ms	(/ (tan (* PI l)) (* F F))
100.0ms	(tan (* PI l))
30.0ms	(* PI l)
28.0ms	(* PI l)

simplify981.0ms

Calls

23 calls:

Slowest

344.0ms	(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
284.0ms	(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))
132.0ms	(+ (/ (* 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)))))
51.0ms	(- (log (tan (* PI l))) (log (* F F)))
25.0ms	(/ (sin (* PI l)) (* (pow F 2) (cos (* PI l))))

prune569.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

3.6b	(tan (* PI l))
0.2b	(/ (tan (* PI l)) F)
0.2b	(* PI l)
0.2b	(* PI l)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`associate-/l*`
2×	`tan-quot` `*-commutative`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l/`

Calls

4 calls:

Slowest

5.0ms	(/ (tan (* PI l)) F)
2.0ms	(tan (* PI l))
0.0ms	(* PI l)
0.0ms	(* PI l)

series291.0ms

Calls

4 calls:

Slowest

145.0ms	(/ (tan (* PI l)) F)
99.0ms	(tan (* PI l))
26.0ms	(* PI l)
21.0ms	(* PI l)

simplify701.0ms

Calls

15 calls:

Slowest

351.0ms	(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))
235.0ms	(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))
31.0ms	(/ (sin (* PI l)) (* F (cos (* PI l))))
30.0ms	(/ (sin (* PI l)) (* F (cos (* PI l))))
7.0ms	(/ (sin (* PI l)) (cos (* PI l)))

prune542.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

3.6b	(tan (* PI l))
0.3b	(* (tan (* PI l)) (/ 1 F))
0.2b	(* PI l)
0.2b	(* PI l)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`associate-r` `insert-posit16` `add-log-exp`
3×	`associate-l` `tan-quot` `*-commutative`
1×	`frac-times` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `un-div-inv` `cbrt-unprod` `div-inv`

Calls

4 calls:

Slowest

13.0ms	(* (tan (* PI l)) (/ 1 F))
2.0ms	(tan (* PI l))
0.0ms	(* PI l)
0.0ms	(* PI l)

series277.0ms

Calls

4 calls:

Slowest

152.0ms	(* (tan (* PI l)) (/ 1 F))
83.0ms	(tan (* PI l))
21.0ms	(* PI l)
20.0ms	(* PI l)

simplify1.3s

Calls

24 calls:

Slowest

424.0ms	(* (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (/ 1 F) (/ 1 F)) (/ 1 F)))
305.0ms	(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))
279.0ms	(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))
80.0ms	(+ (log (tan (* PI l))) (log (/ 1 F)))
30.0ms	(/ (sin (* PI l)) (* F (cos (* PI l))))

prune695.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 4 expressions with local error:

3.6b	(tan (* PI l))
0.2b	(/ (tan (* PI l)) F)
0.2b	(* PI l)
0.2b	(* PI l)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`associate-/l*`
2×	`tan-quot` `*-commutative`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l/`

Calls

4 calls:

Slowest

5.0ms	(/ (tan (* PI l)) F)
2.0ms	(tan (* PI l))
0.0ms	(* PI l)
0.0ms	(* PI l)

series308.0ms

Calls

4 calls:

Slowest

172.0ms	(/ (tan (* PI l)) F)
84.0ms	(tan (* PI l))
30.0ms	(* PI l)
21.0ms	(* PI l)

simplify670.0ms

Calls

15 calls:

Slowest

299.0ms	(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))
292.0ms	(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))
25.0ms	(/ (sin (* PI l)) (* F (cos (* PI l))))
18.0ms	(/ (sin (* PI l)) (* F (cos (* PI l))))
4.0ms	(* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))

prune575.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.1b

regimes339.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample21.2s

Algorithm

intervals

Results

18.7s	7840×	body	10240	exit
2.0s	8884×	body	80	valid
128.0ms	259×	body	160	valid