Details

sample82.0ms

Algorithm

intervals

Results

31.0ms	283×	body	80	nan
25.0ms	256×	body	80	valid

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite282.0ms

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:

69.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
140.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
11.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
47.0ms	(* 3.0 (* v v))

series1.1s

Counts

4 → 12

Calls

4 calls:

376.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
554.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
144.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
50.0ms	(* 3.0 (* v v))

simplify3.9s

Counts

140 → 140

Iterations

Useful iterations: 2 (1.2s)

Iter	Nodes	Cost
0	278	3102
1	850	2852
2	4915	2662
done	5000	2662

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize59.0ms

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

rewrite319.0ms

Algorithm

rewrite-expression-head

Rules

32×	`frac-times`
28×	`add-exp-log` `add-cbrt-cube`
26×	`sqrt-div`
25×	`flip3--` `flip--`
21×	`pow1`
17×	`cube-div`
16×	`associate-r/` `associate-l/`
13×	`prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
9×	`pow-prod-down`
8×	`add-cube-cbrt` `*-un-lft-identity`
5×	`associate-r`
4×	`associate-l` `pow-exp` `add-log-exp` `rem-cube-cbrt`
3×	`pow-unpow` `pow-pow` `sqrt-prod`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `*-commutative`
1×	`cube-mult` `pow-to-exp` `unpow-prod-down` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `unpow3` `cube-prod` `difference-of-squares` `unswap-sqr` `sqr-pow`

Counts

4 → 120

Calls

4 calls:

136.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
11.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
39.0ms	(* 3.0 (* v v))
123.0ms	(pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3)

series2.2s

Counts

4 → 12

Calls

4 calls:

576.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
140.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
52.0ms	(* 3.0 (* v v))
1.5s	(pow (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))) 3)

simplify975.0ms

Counts

132 → 132

Iterations

Useful iterations: done (962.0ms)

Iter	Nodes	Cost
0	339	3735
1	1330	3305
done	5001	3145

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize93.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ (sqrt 2.0) 4.0) (/ (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))) (sqrt (+ 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
0.1b	(* (* 3.0 3.0) (pow v 4))
0.2b	(* 3.0 (* v v))
1.0b	(pow (* (* (/ (sqrt 2.0) 4.0) (/ (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))) (sqrt (+ 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) 3)

rewrite400.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-exp-log`
51×	`add-cbrt-cube`
30×	`prod-exp`
24×	`cbrt-unprod`
20×	`pow1`
18×	`frac-times`
13×	`add-sqr-sqrt`
12×	`associate-r` `associate-*l/`
11×	`cube-div`
10×	`associate-*r/`
9×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down`
8×	`cbrt-undiv` `flip3--` `div-exp` `pow-exp` `flip--`
6×	`rem-cube-cbrt`
5×	`unpow-prod-down` `associate-l`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `pow-unpow` `pow-pow` `*-commutative` `sqr-pow`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`cube-mult` `unpow3` `cube-prod` `difference-of-squares`

Counts

4 → 128

Calls

4 calls:

160.0ms	(* (* (/ (sqrt 2.0) 4.0) (/ (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))) (sqrt (+ 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
42.0ms	(* (* 3.0 3.0) (pow v 4))
31.0ms	(* 3.0 (* v v))
158.0ms	(pow (* (* (/ (sqrt 2.0) 4.0) (/ (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))) (sqrt (+ 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) 3)

series2.1s

Counts

4 → 12

Calls

4 calls:

598.0ms	(* (* (/ (sqrt 2.0) 4.0) (/ (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))) (sqrt (+ 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
89.0ms	(* (* 3.0 3.0) (pow v 4))
45.0ms	(* 3.0 (* v v))
1.3s	(pow (* (* (/ (sqrt 2.0) 4.0) (/ (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))) (sqrt (+ 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))) 3)

simplify861.0ms

Counts

140 → 140

Iterations

Useful iterations: done (851.0ms)

Iter	Nodes	Cost
0	350	4300
1	1268	3868
done	5001	3554

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	35
1	30	35
done	30	35

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.5s	8000×	body	80	valid
907.0ms	8122×	body	80	nan