Details

sample36.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
12.0ms	248×	body	80	nan

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
6	3640
5	1649
4	728
3	223
2	73
1	29
0	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.0b	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
0.0b	(- 1 (* 3 (* v v)))
0.1b	(* 3 (* v v))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
26×	`associate-l`
23×	`add-cbrt-cube` `add-exp-log`
22×	`*-un-lft-identity` `times-frac`
21×	`add-cube-cbrt`
18×	`frac-times`
17×	`sqrt-prod`
16×	`pow1` `sqrt-div`
15×	`flip3--` `flip--`
12×	`associate-r`
10×	`prod-exp` `associate-*r/` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
6×	`add-log-exp`
4×	`insert-posit16`
3×	`sub-neg` `*-commutative`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `div-exp` `difference-of-squares`
1×	`diff-log` `div-inv`

Counts

4 → 130

Calls

4 calls:

40.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
88.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
13.0ms	(- 1 (* 3 (* v v)))
13.0ms	(* 3 (* v v))

series741.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
339.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
105.0ms	(- 1 (* 3 (* v v)))
47.0ms	(* 3 (* v v))

simplify2.0s

Counts

142 → 142

Iterations

Iter	Nodes
done	5002
2	2997
1	792
0	260

prune693.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 3 (* v v))
0.1b	(* 3 (* v v))
0.1b	(* 3 (* v v))
1.0b	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

58×	`pow1`
55×	`add-cbrt-cube` `add-exp-log`
49×	`frac-times`
48×	`sqrt-div`
30×	`prod-exp` `cbrt-unprod`
29×	`associate-*r/`
26×	`pow-prod-down`
24×	`flip3--` `flip--`
17×	`associate-*l/`
10×	`add-sqr-sqrt` `associate-l`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-undiv` `div-exp`
4×	`associate-r` `pow-sqr` `*-commutative` `pow-prod-up` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 140

Calls

4 calls:

14.0ms	(* 3 (* v v))
25.0ms	(* 3 (* v v))
30.0ms	(* 3 (* v v))
109.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))

series435.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* 3 (* v v))
48.0ms	(* 3 (* v v))
56.0ms	(* 3 (* v v))
279.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))))

simplify2.0s

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
2	1724
1	525
0	177

prune808.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (* -3 (* v v)))
0.0b	(+ 1 (* -3 (* v v)))
0.1b	(* -3 (* v v))
0.1b	(* -3 (* v v))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `add-log-exp`
6×	`-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
4×	`insert-posit16`
2×	`+-commutative` `sum-log` `flip3-+` `associate-r` `*-commutative` `flip-+` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

9.0ms	(+ 1 (* -3 (* v v)))
7.0ms	(+ 1 (* -3 (* v v)))
22.0ms	(* -3 (* v v))
25.0ms	(* -3 (* v v))

series261.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(+ 1 (* -3 (* v v)))
109.0ms	(+ 1 (* -3 (* v v)))
30.0ms	(* -3 (* v v))
37.0ms	(* -3 (* v v))

simplify2.3s

Counts

76 → 76

Iterations

Iter	Nodes
done	5004
3	2364
2	575
1	167
0	59

prune500.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (* -3 (* v v)))
0.0b	(log (* (exp 1) (exp (* -3 (* v v)))))
0.1b	(* -3 (* v v))
0.1b	(* -3 (* v v))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1`
15×	`add-exp-log`
14×	`add-cbrt-cube`
8×	`add-sqr-sqrt` `pow-prod-down`
7×	`*-un-lft-identity` `prod-exp`
6×	`associate-l` `add-cube-cbrt` `cbrt-unprod` `add-log-exp`
4×	`insert-posit16`
3×	`log-pow`
2×	`rem-log-exp` `associate-r` `*-commutative` `unswap-sqr`
1×	`+-commutative` `log-prod` `exp-prod` `sum-log` `flip3-+` `flip-+`

Counts

4 → 66

Calls

4 calls:

6.0ms	(+ 1 (* -3 (* v v)))
13.0ms	(log (* (exp 1) (exp (* -3 (* v v)))))
34.0ms	(* -3 (* v v))
27.0ms	(* -3 (* v v))

series765.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ 1 (* -3 (* v v)))
620.0ms	(log (* (exp 1) (exp (* -3 (* v v)))))
29.0ms	(* -3 (* v v))
37.0ms	(* -3 (* v v))

simplify1.9s

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
3	1639
2	521
1	185
0	74

prune478.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes76.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	33
1	33
0	24

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.2s	8112×	body	80	nan
870.0ms	8000×	body	80	valid