Details

sample71.0ms

Algorithm

intervals

Results

30.0ms	256×	body	80	valid
18.0ms	243×	body	80	nan

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	27	19
2	70	19
3	181	19
4	384	19
5	753	19
6	1101	19
7	1364	19
8	1511	19
done	1511	19

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b	(* 3.0 (* v v))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
26×	`associate-l`
23×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
20×	`sqrt-prod`
18×	`frac-times` `sqrt-div`
17×	`pow1`
15×	`flip3--` `flip--`
11×	`associate-r`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 128

Calls

4 calls:

87.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
5.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
42.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
35.0ms	(* 3.0 (* v v))

series952.0ms

Counts

4 → 12

Calls

4 calls:

474.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
124.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
320.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
33.0ms	(* 3.0 (* v v))

simplify3.2s

Counts

140 → 140

Iterations

Useful iterations: 2 (1.3s)

Iter	Nodes	Cost
0	278	3102
1	848	2852
2	4863	2664
done	5001	2664

prune568.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (log (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b	(* 3.0 (* v v))

rewrite357.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
25×	`associate-l`
22×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
20×	`sqrt-prod`
18×	`pow1` `frac-times` `sqrt-div`
17×	`log-div` `exp-diff`
15×	`flip3--` `flip--`
14×	`add-exp-log` `add-cbrt-cube`
10×	`associate-*r/`
9×	`associate-*l/`
7×	`associate-r` `pow-prod-down` `unswap-sqr`
6×	`exp-prod`
5×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`log-pow`
2×	`*-commutative`
1×	`cbrt-undiv` `rem-sqrt-square` `log-prod` `sqrt-pow1` `pow1/2` `div-exp` `exp-sum` `div-inv` `rem-exp-log`

Counts

4 → 118

Calls

4 calls:

250.0ms	(exp (log (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
10.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
49.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
33.0ms	(* 3.0 (* v v))

series881.0ms

Counts

4 → 12

Calls

4 calls:

485.0ms	(exp (log (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))))
78.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
267.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
50.0ms	(* 3.0 (* v v))

simplify2.5s

Counts

130 → 130

Iterations

Useful iterations: 2 (726.0ms)

Iter	Nodes	Cost
0	333	2870
1	887	2550
2	4562	2432
done	5000	2432

prune706.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt 2.0) (pow v 4))
0.1b	(* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))
0.2b	(* (sqrt 2.0) (pow v 2))
0.2b	(* (sqrt 2.0) (* (pow v 2) (sqrt 1.0)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
40×	`add-exp-log`
26×	`associate-r`
22×	`add-cbrt-cube`
21×	`associate-l` `prod-exp`
19×	`sqrt-prod`
18×	`add-cube-cbrt` `*-un-lft-identity`
15×	`unswap-sqr`
10×	`unpow-prod-down`
9×	`cbrt-unprod`
8×	`pow1`
6×	`times-frac` `sqr-pow`
4×	`pow-to-exp` `div-exp` `pow-exp` `*-commutative` `add-log-exp`
3×	`unpow2`
2×	`cbrt-undiv` `pow-prod-down`
1×	`associate-*r/` `div-inv`

Counts

4 → 119

Calls

4 calls:

15.0ms	(* (sqrt 2.0) (pow v 4))
38.0ms	(* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))
17.0ms	(* (sqrt 2.0) (pow v 2))
29.0ms	(* (sqrt 2.0) (* (pow v 2) (sqrt 1.0)))

series458.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (sqrt 2.0) (pow v 4))
165.0ms	(* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))
64.0ms	(* (sqrt 2.0) (pow v 2))
139.0ms	(* (sqrt 2.0) (* (pow v 2) (sqrt 1.0)))

simplify3.0s

Counts

131 → 131

Iterations

Useful iterations: 2 (998.0ms)

Iter	Nodes	Cost
0	182	1489
1	455	1346
2	3468	1218
done	5001	1218

prune729.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	21
1	19	21
done	19	21

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.1s	7919×	body	80	nan
663.0ms	8000×	body	80	valid