Details

sample57.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
6.0ms	256×	pre	80	true
6.0ms	240×	pre	80	false

simplify973.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	8	13
1	18	13
2	47	11
3	100	11
4	319	11
5	1561	11
done	5000	11

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
30.8b	(/ (* b b) (* a a))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

1.0ms	(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
12.0ms	(/ (* b b) (* a a))

series85.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
55.0ms	(/ (* b b) (* a a))

simplify1.1s

Counts

40 → 40

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	65	498
1	192	462
2	1629	378
done	5001	370

prune120.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `pow1`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`add-cbrt-cube` `add-exp-log`
3×	`swap-sqr` `associate-r` `associate-l` `sqrt-prod`
2×	`add-log-exp`
1×	`pow2` `rem-sqrt-square` `sqrt-pow1` `pow-plus` `pow1/2` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

1.0ms	(sqrt (fabs (- 1 (* (fabs (/ b a)) (fabs (/ b a))))))
6.0ms	(* (fabs (/ b a)) (fabs (/ b a)))

series25.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(sqrt (fabs (- 1 (* (fabs (/ b a)) (fabs (/ b a))))))
9.0ms	(* (fabs (/ b a)) (fabs (/ b a)))

simplify1.0s

Counts

44 → 44

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	51	585
1	114	420
2	888	369
done	5000	363

prune185.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fabs (- 1 (log (exp (pow (fabs (/ b a)) 2))))))
0.4b	(pow (fabs (/ b a)) 2)
5.8b	(log (exp (pow (fabs (/ b a)) 2)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `log-pow` `add-cube-cbrt`
8×	`exp-prod`
6×	`pow1` `unpow-prod-down`
4×	`add-exp-log`
3×	`pow-unpow` `log-prod` `add-cbrt-cube` `sqrt-prod` `add-log-exp`
2×	`unpow2` `sqr-pow`
1×	`pow-to-exp` `rem-sqrt-square` `pow-pow` `sqrt-pow1` `pow1/2` `rem-log-exp` `pow-exp`

Counts

3 → 51

Calls

3 calls:

1.0ms	(sqrt (fabs (- 1 (log (exp (pow (fabs (/ b a)) 2))))))
2.0ms	(pow (fabs (/ b a)) 2)
6.0ms	(log (exp (pow (fabs (/ b a)) 2)))

series41.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(sqrt (fabs (- 1 (log (exp (pow (fabs (/ b a)) 2))))))
9.0ms	(pow (fabs (/ b a)) 2)
10.0ms	(log (exp (pow (fabs (/ b a)) 2)))

simplify775.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	82	674
1	156	533
2	403	485
3	1127	485
done	5000	485

prune347.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	12
1	14	12
done	14	12

end0.0ms

sample1.4s

Algorithm

intervals

Results

518.0ms	8000×	body	80	valid
163.0ms	8000×	pre	80	true
163.0ms	7853×	pre	80	false