Details

sample149.0ms

Algorithm

intervals

Results

71.0ms	256×	body	80	valid
53.0ms	264×	body	80	nan

simplify2.5s

Counts

1 → 1

Iterations

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize37.0ms

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))))

rewrite167.0ms

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:

16.0ms	(* -6 (* v v))
15.0ms	(* (* v v) 5)
50.0ms	(* t (sqrt (+ (* -6 (* v v)) 2)))
76.0ms	(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))

series664.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* -6 (* v v))
30.0ms	(* (* v v) 5)
119.0ms	(* t (sqrt (+ (* -6 (* v v)) 2)))
473.0ms	(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))

simplify2.5s

Counts

239 → 239

Iterations

Iter	Nodes
2	4189
1	1476
0	596

prune3.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ (/ (/ (- 1 (* v (* 5 v))) (- 1 (* v v))) PI) (sqrt (+ 8 (* -216 (* (* (* v v) (* v v)) (* v v)))))) t)
0.2b	(* -6 (* v v))
0.2b	(* -6 (* v v))
0.2b	(* -6 (* v v))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

5424×	`times-frac`
2351×	`add-sqr-sqrt`
2348×	`*-un-lft-identity`
2132×	`add-cube-cbrt`
804×	`sqrt-prod`
432×	`difference-of-squares`
408×	`associate-/l*`
152×	`associate-/r/`
101×	`div-inv`
72×	`flip3--` `flip--`
33×	`add-cbrt-cube` `add-exp-log`
19×	`pow1`
10×	`cbrt-undiv` `div-exp`
9×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`sqrt-div`
4×	`flip3-+` `div-sub` `flip-+` `insert-posit16` `add-log-exp`
3×	`associate-/r` `associate-r` `-commutative` `unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 1716

Calls

4 calls:

60.0ms	(/ (/ (/ (/ (- 1 (* v (* 5 v))) (- 1 (* v v))) PI) (sqrt (+ 8 (* -216 (* (* (* v v) (* v v)) (* v v)))))) t)
13.0ms	(* -6 (* v v))
14.0ms	(* -6 (* v v))
27.0ms	(* -6 (* v v))

series487.0ms

Counts

4 → 12

Calls

4 calls:

331.0ms	(/ (/ (/ (/ (- 1 (* v (* 5 v))) (- 1 (* v v))) PI) (sqrt (+ 8 (* -216 (* (* (* v v) (* v v)) (* v v)))))) t)
47.0ms	(* -6 (* v v))
47.0ms	(* -6 (* v v))
61.0ms	(* -6 (* v v))

simplify9.9s

Counts

1728 → 1728

Iterations

Iter	Nodes
1	6551
0	2977

prune40.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize144.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (/ (- 1 (* (* v 5) v)) (- 1 (* (* (* v v) (* v v)) (* v v)))) (cbrt PI))
1.0b	(cbrt PI)
1.0b	(cbrt PI)
1.0b	(cbrt PI)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
88×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
57×	`cbrt-prod`
15×	`associate-/l*`
14×	`associate-/r/`
9×	`add-exp-log`
8×	`div-inv`
7×	`flip3--` `add-cbrt-cube` `flip--`
6×	`associate-/r*`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`div-sub`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 164

Calls

4 calls:

18.0ms	(/ (/ (- 1 (* (* v 5) v)) (- 1 (* (* (* v v) (* v v)) (* v v)))) (cbrt PI))
1.0ms	(cbrt PI)
1.0ms	(cbrt PI)
1.0ms	(cbrt PI)

series622.0ms

Counts

4 → 6

Calls

4 calls:

622.0ms	(/ (/ (- 1 (* (* v 5) v)) (- 1 (* (* (* v v) (* v v)) (* v v)))) (cbrt PI))
0.0ms	(cbrt PI)
0.0ms	(cbrt PI)
0.0ms	(cbrt PI)

simplify1.6s

Counts

170 → 170

Iterations

Iter	Nodes
2	2331
1	709
0	303

prune5.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

283×	`times-frac`
123×	`add-sqr-sqrt` `*-un-lft-identity`
105×	`add-cube-cbrt`
67×	`associate-/l*`
36×	`difference-of-squares`
25×	`add-cbrt-cube` `add-exp-log`
14×	`associate-/r/`
12×	`cbrt-undiv` `div-exp`
9×	`cbrt-prod` `div-inv`
6×	`flip3--` `flip--`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`pow1/3` `div-sub` `prod-exp` `cbrt-unprod`
2×	`sqrt-div` `associate-*r/`
1×	`clear-num` `associate-/r*` `frac-2neg` `flip3-+` `flip-+` `associate-/l/`

Counts

4 → 198

Calls

4 calls:

108.0ms	(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (* t (sqrt (+ (* (* (cbrt -6) (cbrt -6)) (* (cbrt -6) (* v v))) 2))))
1.0ms	(cbrt -6)
1.0ms	(cbrt -6)
1.0ms	(cbrt -6)

series575.0ms

Counts

4 → 6

Calls

4 calls:

575.0ms	(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (* t (sqrt (+ (* (* (cbrt -6) (cbrt -6)) (* (cbrt -6) (* v v))) 2))))
0.0ms	(cbrt -6)
0.0ms	(cbrt -6)
0.0ms	(cbrt -6)

simplify1.8s

Counts

204 → 204

Iterations

Iter	Nodes
2	3743
1	1322
0	531

prune2.9s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes218.0ms

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

sample4.2s

Algorithm

intervals

Results

2.1s	8000×	body	80	valid
1.6s	8080×	body	80	nan