Details

sample74.0ms

Algorithm

intervals

Results

25.0ms	256×	body	80	valid
25.0ms	288×	body	80	nan

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	20
1	32	20
2	90	20
3	268	20
4	633	20
5	1191	20
6	1478	20
7	1496	20
done	1496	20

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize34.0ms

Local error

Found 3 expressions with local error:

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))))))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log` `add-cbrt-cube`
17×	`pow1`
16×	`associate-*r/`
15×	`prod-exp` `cbrt-unprod`
12×	`flip3--` `sqrt-div` `flip--`
9×	`add-sqr-sqrt` `pow-prod-down`
8×	`frac-times` `add-cube-cbrt` `*-un-lft-identity` `associate-/r/`
7×	`associate-r`
4×	`cbrt-undiv` `div-exp` `associate-l` `associate-*l/`
3×	`expm1-log1p-u` `times-frac` `sqrt-prod` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`*-commutative`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `unswap-sqr`

Counts

3 → 90

Calls

3 calls:

104.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
31.0ms	(* 6.0 (* v v))
107.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series875.0ms

Counts

3 → 9

Calls

3 calls:

346.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
36.0ms	(* 6.0 (* v v))
493.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify2.0s

Counts

99 → 99

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	292	2543
1	828	2310
2	3450	2005
done	5000	2004

prune394.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ 4.0 (* 3.0 PI)) (- (pow 1.0 3) (pow v 6)))
0.0b	(+ (* (* v v) (* v v)) (* 1.0 (* v v)))
0.1b	(* (* v v) (* v v))
0.2b	(* 6.0 (* v v))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

184×	`add-sqr-sqrt`
163×	`times-frac`
120×	`pow1`
96×	`difference-of-squares`
63×	`*-un-lft-identity`
56×	`unpow-prod-down` `sqr-pow`
47×	`add-cube-cbrt`
36×	`pow-prod-up`
30×	`add-exp-log` `add-cbrt-cube`
26×	`pow-prod-down`
24×	`cube-prod`
22×	`pow-sqr`
18×	`pow-plus` `div-inv`
16×	`associate-/r*`
13×	`pow2`
12×	`prod-exp` `cbrt-unprod`
8×	`distribute-lft-out--`
7×	`associate-/l*`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
2×	`associate-r` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-out` `flip3--` `fma-def` `frac-2neg` `flip3-+` `swap-sqr` `clear-num` `sum-log` `flip--` `flip-+` `associate-/l/`

Counts

4 → 257

Calls

4 calls:

45.0ms	(/ (/ 4.0 (* 3.0 PI)) (- (pow 1.0 3) (pow v 6)))
37.0ms	(+ (* (* v v) (* v v)) (* 1.0 (* v v)))
31.0ms	(* (* v v) (* v v))
30.0ms	(* 6.0 (* v v))

series633.0ms

Counts

4 → 12

Calls

4 calls:

390.0ms	(/ (/ 4.0 (* 3.0 PI)) (- (pow 1.0 3) (pow v 6)))
140.0ms	(+ (* (* v v) (* v v)) (* 1.0 (* v v)))
71.0ms	(* (* v v) (* v v))
32.0ms	(* 6.0 (* v v))

simplify2.1s

Counts

269 → 269

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	412	5099
1	970	4398
2	3147	4198
done	5001	4137

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
0.2b	(* 6.0 (* v v))
1.0b	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
1.0b	(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

rewrite307.0ms

Algorithm

rewrite-expression-head

Rules

40×	`associate-*r/` `associate-/r/`
38×	`add-exp-log` `add-cbrt-cube`
36×	`cbrt-prod`
30×	`unpow-prod-down` `flip3--` `sqrt-div` `cube-prod` `flip--`
20×	`frac-times`
18×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
15×	`times-frac` `prod-exp` `cbrt-unprod`
10×	`pow1` `associate-*l/`
8×	`cbrt-undiv` `div-exp`
5×	`pow-exp` `div-inv` `rem-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-l` `pow-prod-down` `associate-/l*`
2×	`cube-div` `cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `associate-r` `clear-num` `associate-/r` `-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 162

Calls

4 calls:

51.0ms	(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
25.0ms	(* 6.0 (* v v))
86.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
137.0ms	(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

series2.7s

Counts

4 → 12

Calls

4 calls:

565.0ms	(cbrt (pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3))
51.0ms	(* 6.0 (* v v))
731.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
1.3s	(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

simplify979.0ms

Counts

174 → 174

Iterations

Useful iterations: done (965.0ms)

Iter	Nodes	Cost
0	400	5925
1	1163	5113
done	5001	4664

prune895.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	40
1	32	40
done	32	40

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
747.0ms	8051×	body	80	nan