Details

sample57.0ms

Algorithm

intervals

Results

19.0ms	244×	body	80	nan
17.0ms	256×	body	80	valid

simplify1.3s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 5.0 (* v v))
0.2b	(* PI t)
0.3b	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.5b	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log` `add-cbrt-cube`
18×	`associate-*r/`
16×	`pow1`
13×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`flip3--` `sqrt-div` `associate-r` `associate-/r/` `flip--`
7×	`associate-l` `pow-prod-down`
4×	`cbrt-undiv` `frac-times` `div-exp` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`associate-*l/` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `div-sub` `clear-num` `associate-/r*` `sqrt-prod` `div-inv`

Counts

4 → 94

Calls

4 calls:

27.0ms	(* 5.0 (* v v))
11.0ms	(* PI t)
155.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
71.0ms	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.1s

Counts

4 → 12

Calls

4 calls:

31.0ms	(* 5.0 (* v v))
24.0ms	(* PI t)
787.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
251.0ms	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.9s

Counts: 106 → 106

prune533.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 5.0 (* v v))
0.2b	(* PI t)
0.3b	(/ 1 (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.5b	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log`
25×	`add-cbrt-cube`
22×	`pow1`
16×	`prod-exp`
13×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `cbrt-unprod`
8×	`associate-r/` `associate-r*`
7×	`associate-l`
6×	`div-exp`
4×	`sqrt-div` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `pow-flip` `times-frac` `1-exp` `-commutative` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r*` `sqrt-prod` `div-inv` `inv-pow`

Counts

4 → 93

Calls

4 calls:

17.0ms	(* 5.0 (* v v))
14.0ms	(* PI t)
143.0ms	(/ 1 (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
40.0ms	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series788.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* 5.0 (* v v))
43.0ms	(* PI t)
380.0ms	(/ 1 (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
316.0ms	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify977.0ms

Counts: 105 → 105

prune407.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 5.0 (* v v))
0.2b	(* PI t)
0.3b	(/ 1 (* PI t))
0.5b	(/ (/ 1 (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

46×	`times-frac`
41×	`add-exp-log`
30×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-cbrt-cube`
15×	`div-exp`
14×	`pow1`
10×	`prod-exp` `associate-/l*`
8×	`sqrt-prod`
7×	`cbrt-undiv` `div-inv`
6×	`associate-l` `cbrt-unprod`
5×	`pow-prod-down` `associate-/r*`
4×	`rec-exp` `1-exp` `associate-r` `add-log-exp`
2×	`pow-flip` `frac-2neg` `sqrt-div` `associate-r/` `clear-num` `associate-/r/` `-commutative` `unswap-sqr`
1×	`flip3--` `flip--` `associate-/l/` `inv-pow`

Counts

4 → 127

Calls

4 calls:

32.0ms	(* 5.0 (* v v))
7.0ms	(* PI t)
11.0ms	(/ 1 (* PI t))
41.0ms	(/ (/ 1 (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series490.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* 5.0 (* v v))
41.0ms	(* PI t)
49.0ms	(/ 1 (* PI t))
369.0ms	(/ (/ 1 (* PI t)) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.1s

Counts: 139 → 139

prune471.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (* v v))
0.2b	(* 5.0 (* v v))
0.4b	(/ (/ 1 PI) t)
0.5b	(/ (/ (/ 1 PI) t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

577×	`times-frac`
269×	`add-sqr-sqrt`
267×	`add-cube-cbrt` `*-un-lft-identity`
56×	`associate-/l*`
44×	`sqrt-prod`
38×	`add-exp-log`
28×	`add-cbrt-cube`
26×	`div-inv`
17×	`div-exp`
14×	`pow1`
9×	`cbrt-undiv`
7×	`associate-/r*`
6×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`rec-exp` `frac-2neg` `sqrt-div` `1-exp` `associate-r/` `associate-r` `clear-num` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`flip3--` `flip--`

Counts

4 → 350

Calls

4 calls:

20.0ms	(* 3.0 (* v v))
29.0ms	(* 5.0 (* v v))
21.0ms	(/ (/ 1 PI) t)
52.0ms	(/ (/ (/ 1 PI) t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series515.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* 3.0 (* v v))
38.0ms	(* 5.0 (* v v))
46.0ms	(/ (/ 1 PI) t)
401.0ms	(/ (/ (/ 1 PI) t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify847.0ms

Counts: 362 → 362

prune2.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes178.0ms

Accuracy

-65% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify767.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.4s	8078×	body	80	nan
919.0ms	8000×	body	80	valid