Details

sample86.0ms

Algorithm

intervals

Results

34.0ms	246×	body	80	nan
24.0ms	256×	body	80	valid

simplify68.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (* v v))
0.3b	(* 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))))))

rewrite290.0ms

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	(* 3.0 (* v v))
12.0ms	(* PI t)
178.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
68.0ms	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

26.0ms	(* 3.0 (* v v))
28.0ms	(* PI t)
850.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
324.0ms	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify92.0ms

Counts: 106 → 106

prune488.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (* v v))
0.3b	(* PI t)
0.3b	(/ 1 (* (* (* 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))))))

rewrite392.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

26.0ms	(* 3.0 (* v v))
7.0ms	(* PI t)
315.0ms	(/ 1 (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
36.0ms	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series960.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* 3.0 (* v v))
21.0ms	(* PI t)
650.0ms	(/ 1 (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
249.0ms	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify90.0ms

Counts: 116 → 116

prune465.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite740.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

19.0ms	(* 3.0 (* v v))
14.0ms	(* PI t)
676.0ms	(/ 1 (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
26.0ms	(* (* PI t) (sqrt 2.0))

series749.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* 3.0 (* v v))
34.0ms	(* PI t)
568.0ms	(/ 1 (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
113.0ms	(* (* PI t) (sqrt 2.0))

simplify81.0ms

Counts: 121 → 121

prune522.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (* v v))
0.3b	(/ 1 (* (* (* PI (* t (sqrt 2.0))) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
0.3b	(* PI (* t (sqrt 2.0)))
0.4b	(* t (sqrt 2.0))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

32.0ms	(* 3.0 (* v v))
1.0s	(/ 1 (* (* (* PI (* t (sqrt 2.0))) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
37.0ms	(* PI (* t (sqrt 2.0)))
10.0ms	(* t (sqrt 2.0))

series845.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* 3.0 (* v v))
637.0ms	(/ 1 (* (* (* PI (* t (sqrt 2.0))) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
103.0ms	(* PI (* t (sqrt 2.0)))
71.0ms	(* t (sqrt 2.0))

simplify78.0ms

Counts: 122 → 122

prune478.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

regimes310.0ms

Accuracy

0.2% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify40.0ms

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.4s	8141×	body	80	nan
1.1s	8000×	body	80	valid