Details

sample85.0ms

Algorithm

intervals

Results

38.0ms	256×	body	80	valid
20.0ms	245×	body	80	nan

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	1567
9	1567
8	1565
7	1415
6	1135
5	757
4	385
3	181
2	70
1	27
0	14

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
25×	`associate-l`
22×	`times-frac`
20×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
13×	`add-cbrt-cube` `add-exp-log`
11×	`pow1`
7×	`associate-r` `unswap-sqr`
6×	`sqrt-div`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down`
3×	`flip3--` `flip--` `add-log-exp`
2×	`frac-times` `associate-r/` `-commutative`
1×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `div-inv`

Counts

3 → 86

Calls

3 calls:

8.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
55.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
23.0ms	(* 3.0 (* v v))

series406.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
273.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
39.0ms	(* 3.0 (* v v))

simplify1.2s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	2367
1	491
0	190

prune481.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

25.0ms	(exp (log (/ (* (sqrt 2.0) (sqrt (- 1.0 (* v (* v 3.0))))) 4.0)))
16.0ms	(log (/ (* (sqrt 2.0) (sqrt (- 1.0 (* v (* v 3.0))))) 4.0))
31.0ms	(* (sqrt 2.0) (sqrt (- 1.0 (* v (* v 3.0)))))
24.0ms	(* v (* v 3.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

282.0ms	(exp (log (/ (* (sqrt 2.0) (sqrt (- 1.0 (* v (* v 3.0))))) 4.0)))
570.0ms	(log (/ (* (sqrt 2.0) (sqrt (- 1.0 (* v (* v 3.0))))) 4.0))
178.0ms	(* (sqrt 2.0) (sqrt (- 1.0 (* v (* v 3.0)))))
48.0ms	(* v (* v 3.0))

simplify1.1s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2475
1	523
0	226

prune569.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (sqrt 2.0)) (log (sqrt (- 1.0 (* v (* v 3.0))))))
0.1b	(* v (* v 3.0))
1.0b	(log (sqrt 2.0))
2.5b	(log (sqrt (- 1.0 (* v (* v 3.0)))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
19×	`pow1`
17×	`*-un-lft-identity`
14×	`log-pow`
13×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`sqrt-prod`
11×	`add-exp-log`
9×	`add-cbrt-cube`
6×	`associate-+l+` `associate-+r+` `distribute-lft-out`
4×	`log-div` `sqrt-pow1` `pow1/2` `sqrt-div` `add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+r-` `flip3--` `rem-log-exp` `flip--`
1×	`+-commutative` `sum-log` `flip3-+` `associate-r` `*-commutative` `flip-+`

Counts

4 → 85

Calls

4 calls:

27.0ms	(+ (log (sqrt 2.0)) (log (sqrt (- 1.0 (* v (* v 3.0))))))
17.0ms	(* v (* v 3.0))
2.0ms	(log (sqrt 2.0))
4.0ms	(log (sqrt (- 1.0 (* v (* v 3.0)))))

series750.0ms

Counts

4 → 10

Calls

4 calls:

398.0ms	(+ (log (sqrt 2.0)) (log (sqrt (- 1.0 (* v (* v 3.0))))))
49.0ms	(* v (* v 3.0))
0.0ms	(log (sqrt 2.0))
303.0ms	(log (sqrt (- 1.0 (* v (* v 3.0)))))

simplify788.0ms

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	1498
1	379
0	173

prune668.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	23
1	23
0	19

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.2s	8055×	body	80	nan
778.0ms	8000×	body	80	valid