Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
4.0ms	284×	pre	80	false
4.0ms	256×	pre	80	true

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	48	11
3	101	11
4	198	11
5	376	11
6	618	11
7	1653	11
done	5001	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
29.5b	(/ (* b b) (* a a))

rewrite32.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 38

Calls

2 calls:

3.0ms	(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
27.0ms	(/ (* b b) (* a a))

series59.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
42.0ms	(/ (* b b) (* a a))

simplify10.2s

Counts

44 → 44

Iterations

Useful iterations: 4 (9.0s)

Iter	Nodes	Cost
0	69	538
1	148	502
2	492	410
3	1862	395
4	4721	385
done	5000	385

prune180.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
0.4b	(* (/ b a) (/ b a))

rewrite453.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
40×	`times-frac`
31×	`add-cube-cbrt` `*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
13×	`swap-sqr` `associate-r` `associate-l`
10×	`pow1`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
3×	`sqrt-prod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `frac-times` `rem-sqrt-square` `sqrt-pow1` `pow-plus` `pow1/2` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

2 → 84

Calls

2 calls:

3.0ms	(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
37.0ms	(* (/ b a) (/ b a))

series71.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
50.0ms	(* (/ b a) (/ b a))

simplify4.3s

Counts

90 → 90

Iterations

Useful iterations: 3 (2.2s)

Iter	Nodes	Cost
0	132	1119
1	347	1003
2	1154	874
3	4969	763
done	5000	763

prune353.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fabs (- 1 (log (exp (pow (sqrt (/ b a)) 4))))))
0.1b	(sqrt (/ b a))
0.7b	(pow (sqrt (/ b a)) 4)
4.9b	(log (exp (pow (sqrt (/ b a)) 4)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

42×	`sqrt-prod`
35×	`add-sqr-sqrt`
32×	`unpow-prod-down`
31×	`add-cube-cbrt` `*-un-lft-identity`
28×	`times-frac`
21×	`log-pow`
20×	`exp-prod`
9×	`pow1`
5×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `pow-unpow` `log-prod` `pow-pow` `sqrt-pow1` `pow1/2` `div-inv`
2×	`sqr-pow`
1×	`pow-to-exp` `sqrt-div` `rem-log-exp` `pow-exp` `sqrt-pow2`

Counts

4 → 111

Calls

4 calls:

3.0ms	(sqrt (fabs (- 1 (log (exp (pow (sqrt (/ b a)) 4))))))
8.0ms	(sqrt (/ b a))
14.0ms	(pow (sqrt (/ b a)) 4)
49.0ms	(log (exp (pow (sqrt (/ b a)) 4)))

series396.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sqrt (fabs (- 1 (log (exp (pow (sqrt (/ b a)) 4))))))
53.0ms	(sqrt (/ b a))
129.0ms	(pow (sqrt (/ b a)) 4)
183.0ms	(log (exp (pow (sqrt (/ b a)) 4)))

simplify1.8s

Counts

123 → 123

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	222	1457
1	396	1210
2	880	1066
3	2395	1042
done	5000	1036

prune703.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11
done	10	11

end0.0ms

sample1.3s

Algorithm

intervals

Results

376.0ms	8000×	body	80	valid
213.0ms	8000×	pre	80	true
200.0ms	8081×	pre	80	false