Details

sample24.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
4.0ms	296×	pre	80	false
3.0ms	256×	pre	80	true

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	13
1	18	13
2	47	11
3	97	11
4	179	11
5	293	11
6	455	11
7	1416	11
done	5000	11

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
27.7b	(/ (* b b) (* a a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
4×	`cbrt-undiv` `add-sqr-sqrt` `div-exp` `prod-exp` `cbrt-unprod`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-log-exp`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `times-frac` `pow1/2` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

2 → 34

Calls

2 calls:

1.0ms	(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
8.0ms	(/ (* b b) (* a a))

series42.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
26.0ms	(/ (* b b) (* a a))

simplify3.0s

Counts

40 → 40

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	65	498
1	161	462
2	587	370
3	4452	355
done	5000	355

prune82.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fabs (- 1 (/ b (* (/ a b) a)))))
0.2b	(/ b (* (/ a b) a))
0.3b	(* (/ a b) a)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`add-exp-log` `add-cbrt-cube`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`times-frac` `associate-l`
6×	`pow1`
5×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`associate-r` `sqrt-prod` `associate-/l*` `add-log-exp`
2×	`associate-*l/` `div-inv` `unswap-sqr`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-prod-down` `clear-num` `associate-/r` `associate-/r/` `-commutative`

Counts

3 → 69

Calls

3 calls:

1.0ms	(sqrt (fabs (- 1 (/ b (* (/ a b) a)))))
5.0ms	(/ b (* (/ a b) a))
8.0ms	(* (/ a b) a)

series62.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(sqrt (fabs (- 1 (/ b (* (/ a b) a)))))
29.0ms	(/ b (* (/ a b) a))
18.0ms	(* (/ a b) a)

simplify3.0s

Counts

78 → 78

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	112	776
1	257	737
2	853	632
3	4816	616
done	5000	616

prune169.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fabs (- 1 (/ b (* (/ a b) a)))))
0.0b	(log (exp (sqrt (fabs (- 1 (/ b (* (/ a b) a)))))))
0.2b	(/ b (* (/ a b) a))
0.3b	(* (/ a b) a)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
13×	`times-frac` `associate-l`
8×	`pow1`
7×	`log-pow`
6×	`exp-prod` `sqrt-prod`
5×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`log-prod` `associate-r` `associate-/l*`
2×	`associate-*l/` `div-inv` `unswap-sqr`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `rem-log-exp` `pow-prod-down` `clear-num` `associate-/r` `associate-/r/` `-commutative`

Counts

4 → 87

Calls

4 calls:

1.0ms	(sqrt (fabs (- 1 (/ b (* (/ a b) a)))))
2.0ms	(log (exp (sqrt (fabs (- 1 (/ b (* (/ a b) a)))))))
5.0ms	(/ b (* (/ a b) a))
8.0ms	(* (/ a b) a)

series79.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sqrt (fabs (- 1 (/ b (* (/ a b) a)))))
14.0ms	(log (exp (sqrt (fabs (- 1 (/ b (* (/ a b) a)))))))
26.0ms	(/ b (* (/ a b) a))
20.0ms	(* (/ a b) a)

simplify3.4s

Counts

99 → 99

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	137	1135
1	287	1033
2	888	907
3	4839	891
done	5000	891

prune263.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ b (* (/ a b) a))
0.2b	(/ b (* (/ a b) a))
0.3b	(* (/ a b) a)
0.3b	(* (/ a b) a)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
32×	`add-exp-log` `add-cbrt-cube`
26×	`times-frac` `associate-l`
24×	`add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-undiv` `div-exp`
8×	`pow1` `prod-exp` `cbrt-unprod`
6×	`associate-r` `associate-/l*`
4×	`associate-*l/` `div-inv` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `associate-/r/` `-commutative`

Counts

4 → 112

Calls

4 calls:

5.0ms	(/ b (* (/ a b) a))
5.0ms	(/ b (* (/ a b) a))
10.0ms	(* (/ a b) a)
8.0ms	(* (/ a b) a)

series93.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ b (* (/ a b) a))
26.0ms	(/ b (* (/ a b) a))
18.0ms	(* (/ a b) a)
19.0ms	(* (/ a b) a)

simplify3.1s

Counts

124 → 124

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	93	1094
1	231	1072
2	820	880
3	4729	848
done	5000	848

prune411.0ms

Pruning

3 alts after pruning (0 fresh and 3 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

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	14	13
done	14	13

end0.0ms

sample604.0ms

Algorithm

intervals

Results

180.0ms	8000×	body	80	valid
97.0ms	8113×	pre	80	false
94.0ms	8000×	pre	80	true