Details

sample56.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
16.0ms	240×	body	80	nan

simplify981.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 2.0 (* 6.0 (* v v))))
0.0b	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.2b	(* 6.0 (* v v))
1.0b	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite287.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
19×	`pow1`
16×	`associate-*r/`
15×	`prod-exp` `cbrt-unprod`
14×	`sqrt-div`
13×	`flip3--` `flip--`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow-prod-down`
8×	`frac-times` `associate-/r/`
7×	`associate-r`
6×	`sqrt-prod`
4×	`cbrt-undiv` `div-exp` `associate-l` `associate-*l/` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`*-commutative`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `associate-/r*` `div-inv` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

6.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
98.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
34.0ms	(* 6.0 (* v v))
141.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

139.0ms	(sqrt (- 2.0 (* 6.0 (* v v))))
414.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
49.0ms	(* 6.0 (* v v))
628.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify1.7s

Counts: 111 → 111

prune384.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
0.2b	(* 6.0 (* v v))
1.0b	(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
1.0b	(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

106×	`add-exp-log`
52×	`add-cbrt-cube`
50×	`prod-exp`
46×	`add-sqr-sqrt`
44×	`times-frac`
37×	`add-cube-cbrt` `*-un-lft-identity`
29×	`div-exp`
25×	`associate-r`
22×	`sqrt-prod`
20×	`cbrt-unprod`
17×	`pow1`
14×	`cbrt-undiv`
12×	`associate-l`
9×	`rec-exp` `1-exp`
8×	`associate-/r/`
7×	`pow-prod-down` `associate-/r*`
6×	`associate-/l*`
5×	`associate-*r/`
4×	`flip3--` `sqrt-div` `flip--` `div-inv` `add-log-exp` `unswap-sqr`
3×	`pow-flip`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`frac-times` `associate-*l/` `inv-pow`

Counts

4 → 171

Calls

4 calls:

64.0ms	(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
24.0ms	(* 6.0 (* v v))
220.0ms	(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
16.0ms	(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

136.0ms	(/ 1 (* (* 3.0 PI) (- 1.0 (* v v))))
36.0ms	(* 6.0 (* v v))
611.0ms	(* (/ 1 (* (* 3.0 PI) (- 1.0 (* v v)))) (/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v))))))
253.0ms	(/ 4.0 (sqrt (- 2.0 (* 6.0 (* v v)))))

simplify654.0ms

Counts: 183 → 183

prune634.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 6.0 (* v v))
0.2b	(* 6.0 (* v v))
0.2b	(* 6.0 (* v v))
1.0b	(* (/ 4.0 (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v))))))) (* (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))) (sqrt (+ 2.0 (* 6.0 (* v v))))))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

64×	`add-exp-log` `add-cbrt-cube`
36×	`prod-exp` `cbrt-unprod`
24×	`pow1` `associate-l`
20×	`frac-times` `associate-*r/`
18×	`sqrt-div`
12×	`add-sqr-sqrt` `flip3-+` `pow-prod-down` `flip-+`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`cbrt-undiv` `div-exp` `associate-/r/`
7×	`associate-*l/`
6×	`flip3--` `flip--`
4×	`associate-r` `*-commutative` `add-log-exp`
3×	`times-frac` `unswap-sqr`
1×	`div-inv`

Counts

4 → 120

Calls

4 calls:

29.0ms	(* 6.0 (* v v))
19.0ms	(* 6.0 (* v v))
24.0ms	(* 6.0 (* v v))
1.2s	(* (/ 4.0 (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v))))))) (* (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))) (sqrt (+ 2.0 (* 6.0 (* v v))))))

series850.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* 6.0 (* v v))
41.0ms	(* 6.0 (* v v))
39.0ms	(* 6.0 (* v v))
725.0ms	(* (/ 4.0 (* (* (* 3.0 PI) (- (pow 1.0 3) (pow (* v v) 3))) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v))))))) (* (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))) (sqrt (+ 2.0 (* 6.0 (* v v))))))

simplify710.0ms

Counts: 132 → 132

prune816.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

-25.4% (0.0b remaining)

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

bsearch0.0ms

simplify674.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.2s	8000×	body	80	valid
762.0ms	8064×	body	80	nan