Details

sample114.0ms

Algorithm

intervals

Results

46.0ms	256×	body	80	valid
42.0ms	241×	body	80	nan

simplify2.4s

Counts

1 → 1

Iterations

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

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite162.0ms

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:

15.0ms	(* (* v v) 5)
15.0ms	(* -6 (* v v))
49.0ms	(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))
76.0ms	(* t (sqrt (+ (* -6 (* v v)) 2)))

series644.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* v v) 5)
28.0ms	(* -6 (* v v))
474.0ms	(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))
112.0ms	(* t (sqrt (+ (* -6 (* v v)) 2)))

simplify2.5s

Counts

239 → 239

Iterations

Iter	Nodes
2	4323
1	1496
0	596

prune3.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

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

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

5538×	`times-frac`
2414×	`add-sqr-sqrt`
2412×	`*-un-lft-identity`
2187×	`add-cube-cbrt`
618×	`sqrt-prod`
450×	`difference-of-squares`
272×	`associate-/l*`
152×	`associate-/r/`
109×	`div-inv`
75×	`flip3--` `flip--`
37×	`add-cbrt-cube` `add-exp-log`
16×	`cbrt-undiv` `div-exp`
14×	`pow1`
9×	`associate-/r*`
7×	`div-sub`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `sqrt-div` `*-commutative` `unswap-sqr` `associate-/l/`
1×	`flip3-+` `flip-+`

Counts

4 → 1794

Calls

4 calls:

28.0ms	(* (* v v) 5)
27.0ms	(* -6 (* v v))
68.0ms	(/ (/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) t) (sqrt (+ (* -6 (* v v)) 2)))
44.0ms	(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) t)

series819.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* v v) 5)
34.0ms	(* -6 (* v v))
531.0ms	(/ (/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) t) (sqrt (+ (* -6 (* v v)) 2)))
223.0ms	(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) t)

simplify7.0s

Counts

1806 → 1806

Iterations

Iter	Nodes
1	5997
0	2832

prune30.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.2b	(* -6 (* v v))
0.4b	(/ (/ (/ (- 1 (log (exp (* (* v v) 5)))) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))
0.4b	(* t (sqrt (+ (* -6 (* v v)) 2)))
2.5b	(log (exp (* (* v v) 5)))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

583×	`times-frac`
333×	`*-un-lft-identity`
308×	`add-sqr-sqrt`
171×	`add-cube-cbrt`
144×	`difference-of-squares`
127×	`associate-/l*`
60×	`distribute-lft-out--`
42×	`pow1`
33×	`log-pow`
32×	`add-cbrt-cube` `add-exp-log`
14×	`associate-/r/`
12×	`cbrt-undiv` `div-exp`
9×	`div-inv`
7×	`associate-r` `prod-exp` `cbrt-unprod`
6×	`flip3--` `associate-l` `flip--`
5×	`add-log-exp`
4×	`sqrt-div` `pow-prod-down` `associate-*r/` `sqrt-prod` `insert-posit16`
3×	`log-prod` `div-sub` `unswap-sqr`
2×	`flip3-+` `*-commutative` `flip-+`
1×	`exp-prod` `clear-num` `associate-/r*` `frac-2neg` `exp-to-pow` `rem-log-exp` `associate-/l/`

Counts

4 → 342

Calls

4 calls:

27.0ms	(* -6 (* v v))
69.0ms	(/ (/ (/ (- 1 (log (exp (* (* v v) 5)))) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))
60.0ms	(* t (sqrt (+ (* -6 (* v v)) 2)))
3.0ms	(log (exp (* (* v v) 5)))

series678.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* -6 (* v v))
486.0ms	(/ (/ (/ (- 1 (log (exp (* (* v v) 5)))) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))
115.0ms	(* t (sqrt (+ (* -6 (* v v)) 2)))
34.0ms	(log (exp (* (* v v) 5)))

simplify2.9s

Counts

354 → 354

Iterations

Iter	Nodes
2	4853
1	1858
0	766

prune5.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b	(* -6 (* v v))
0.4b	(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) t)
0.5b	(* (/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) t) (/ 1 (sqrt (+ (* -6 (* v v)) 2))))
1.0b	(/ 1 (sqrt (+ (* -6 (* v v)) 2)))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

1240×	`times-frac`
654×	`add-sqr-sqrt`
583×	`*-un-lft-identity`
512×	`add-cube-cbrt`
208×	`associate-l`
126×	`difference-of-squares`
82×	`add-exp-log`
70×	`associate-/l*`
52×	`add-cbrt-cube`
46×	`associate-/r/`
40×	`div-exp`
32×	`div-inv`
29×	`sqrt-prod`
25×	`associate-r`
23×	`cbrt-undiv`
21×	`flip3--` `flip--` `unswap-sqr`
19×	`prod-exp`
13×	`pow1`
11×	`cbrt-unprod`
9×	`associate-/r*`
5×	`rec-exp` `1-exp`
4×	`sqrt-div` `pow-prod-down` `insert-posit16` `add-log-exp`
3×	`div-sub` `pow-flip`
2×	`clear-num` `frac-2neg` `flip3-+` `*-commutative` `flip-+`
1×	`frac-times` `sqrt-pow1` `pow1/2` `associate-l/` `associate-r/` `un-div-inv` `inv-pow` `associate-/l/`

Counts

4 → 645

Calls

4 calls:

27.0ms	(* -6 (* v v))
39.0ms	(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) t)
102.0ms	(* (/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) t) (/ 1 (sqrt (+ (* -6 (* v v)) 2))))
30.0ms	(/ 1 (sqrt (+ (* -6 (* v v)) 2)))

series731.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* -6 (* v v))
169.0ms	(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) t)
420.0ms	(* (/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) t) (/ 1 (sqrt (+ (* -6 (* v v)) 2))))
114.0ms	(/ 1 (sqrt (+ (* -6 (* v v)) 2)))

simplify4.5s

Counts

657 → 657

Iterations

Iter	Nodes
1	3331
0	1143

prune9.7s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes188.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	21
1	21
0	18

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.4s	8000×	body	80	nan
1.7s	8000×	body	80	valid