Details

sample150.0ms

Algorithm

intervals

Results

73.0ms	267×	body	80	nan
52.0ms	256×	body	80	valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
4	4493
3	820
2	160
1	44
0	19

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b	(* -6 (* v v))
0.2b	(* (* v v) 5)
0.4b	(* t (sqrt (+ (* -6 (* v v)) 2)))
0.4b	(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

283×	`times-frac`
131×	`add-sqr-sqrt`
125×	`*-un-lft-identity`
107×	`add-cube-cbrt`
67×	`associate-/l*`
37×	`add-cbrt-cube` `add-exp-log`
36×	`difference-of-squares`
16×	`pow1`
14×	`associate-/r/`
12×	`cbrt-undiv` `div-exp`
10×	`associate-r` `prod-exp` `cbrt-unprod`
9×	`div-inv`
7×	`associate-l` `pow-prod-down`
6×	`flip3--` `flip--`
4×	`sqrt-div` `associate-*r/` `sqrt-prod` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`div-sub` `*-commutative`
2×	`flip3-+` `flip-+`
1×	`clear-num` `associate-/r*` `frac-2neg` `associate-/l/`

Counts

4 → 227

Calls

4 calls:

14.0ms	(* -6 (* v v))
15.0ms	(* (* v v) 5)
48.0ms	(* t (sqrt (+ (* -6 (* v v)) 2)))
45.0ms	(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))

series761.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* -6 (* v v))
29.0ms	(* (* v v) 5)
139.0ms	(* t (sqrt (+ (* -6 (* v v)) 2)))
547.0ms	(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))

simplify2.7s

Counts

239 → 239

Iterations

Iter	Nodes
2	4189
1	1476
0	596

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize106.0ms

Local error

Found 4 expressions with local error:

0.2b	(* -6 (* v v))
0.2b	(* -6 (* v v))
0.2b	(* -6 (* v v))
0.2b	(* v (* 5 v))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `*-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`

Counts

4 → 79

Calls

4 calls:

14.0ms	(* -6 (* v v))
21.0ms	(* -6 (* v v))
37.0ms	(* -6 (* v v))
28.0ms	(* v (* 5 v))

series166.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* -6 (* v v))
49.0ms	(* -6 (* v v))
34.0ms	(* -6 (* v v))
36.0ms	(* v (* 5 v))

simplify8.5s

Counts

91 → 91

Iterations

Iter	Nodes
4	7080
3	1939
2	505
1	162
0	64

prune735.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (sqrt (+ (* -6 (* v v)) 2)))
0.2b	(* -6 (* v v))
0.2b	(* (* v v) 5)
0.3b	(* (/ 1 t) (/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (sqrt (+ (* -6 (* v v)) 2))))

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

2267×	`times-frac`
1125×	`add-sqr-sqrt`
1045×	`*-un-lft-identity`
921×	`add-cube-cbrt`
414×	`sqrt-prod`
412×	`associate-r`
234×	`difference-of-squares`
83×	`add-exp-log`
82×	`associate-/r/`
67×	`associate-/l*`
55×	`add-cbrt-cube` `div-inv`
39×	`flip3--` `flip--`
38×	`div-exp`
23×	`unswap-sqr`
22×	`cbrt-undiv` `prod-exp`
17×	`associate-l`
16×	`pow1`
14×	`cbrt-unprod`
7×	`pow-prod-down`
6×	`associate-/r*`
4×	`rec-exp` `sqrt-div` `1-exp` `insert-posit16` `add-log-exp`
3×	`div-sub` `*-commutative`
2×	`flip3-+` `flip-+`
1×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `associate-r/` `associate-/l/`

Counts

4 → 1015

Calls

4 calls:

45.0ms	(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (sqrt (+ (* -6 (* v v)) 2)))
20.0ms	(* -6 (* v v))
19.0ms	(* (* v v) 5)
126.0ms	(* (/ 1 t) (/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (sqrt (+ (* -6 (* v v)) 2))))

series1.1s

Counts

4 → 12

Calls

4 calls:

444.0ms	(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (sqrt (+ (* -6 (* v v)) 2)))
65.0ms	(* -6 (* v v))
45.0ms	(* (* v v) 5)
503.0ms	(* (/ 1 t) (/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (sqrt (+ (* -6 (* v v)) 2))))

simplify7.2s

Counts

1027 → 1027

Iterations

Iter	Nodes
1	4592
0	1469

prune6.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.2b	(* -6 (* v v))
0.2b	(* (* v v) 5)
0.3b	(* (/ 1 t) (* (/ 1 (sqrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (sqrt (sqrt (+ (* -6 (* v v)) 2))))))
1.0b	(/ 1 (sqrt (sqrt (+ (* -6 (* v v)) 2))))

rewrite304.0ms

Algorithm

rewrite-expression-head

Rules

347×	`add-exp-log`
164×	`div-exp`
138×	`prod-exp`
109×	`add-cbrt-cube`
42×	`cbrt-undiv`
40×	`cbrt-unprod`
37×	`add-sqr-sqrt`
36×	`times-frac` `sqrt-prod`
35×	`*-un-lft-identity` `add-cube-cbrt`
34×	`rec-exp` `1-exp`
22×	`pow1`
17×	`associate-l`
9×	`associate-/r*` `pow-prod-down`
5×	`frac-times` `associate-r` `associate-*r/` `pow-flip`
4×	`sqrt-pow1` `sqrt-div` `insert-posit16` `add-log-exp`
3×	`associate-l/` `-commutative` `associate-/l*`
2×	`pow1/2` `associate-/r/` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `inv-pow`

Counts

4 → 220

Calls

4 calls:

26.0ms	(* -6 (* v v))
30.0ms	(* (* v v) 5)
188.0ms	(* (/ 1 t) (* (/ 1 (sqrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (sqrt (sqrt (+ (* -6 (* v v)) 2))))))
50.0ms	(/ 1 (sqrt (sqrt (+ (* -6 (* v v)) 2))))

series805.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* -6 (* v v))
40.0ms	(* (* v v) 5)
487.0ms	(* (/ 1 t) (* (/ 1 (sqrt (sqrt (+ (* -6 (* v v)) 2)))) (/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (sqrt (sqrt (+ (* -6 (* v v)) 2))))))
242.0ms	(/ 1 (sqrt (sqrt (+ (* -6 (* v v)) 2))))

simplify3.3s

Counts

232 → 232

Iterations

Iter	Nodes
2	3542
1	1141
0	438

prune966.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes157.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	41
1	41
0	31

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.4s	8000×	body	80	valid
1.5s	8217×	body	80	nan