Details

sample22.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true
2.0ms	217×	pre	80	false

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
28.6b	(/ (* b b) (* a a))

rewrite7.0ms

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

series45.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
27.0ms	(/ (* b b) (* a a))

simplify3.0s

Counts

40 → 40

Iterations

Useful iterations: 3 (1.4s)

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

prune76.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (fabs (- 1 (exp (* (log (/ b a)) 2)))))
4.1b	(exp (* (log (/ b a)) 2))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod` `add-log-exp`
2×	`add-exp-log` `add-cbrt-cube`
1×	`rem-sqrt-square` `exp-prod` `exp-to-pow` `sqrt-pow1` `pow1/2` `exp-lft-sqr` `rem-exp-log`

Counts

2 → 24

Calls

2 calls:

3.0ms	(sqrt (fabs (- 1 (exp (* (log (/ b a)) 2)))))
1.0ms	(exp (* (log (/ b a)) 2))

series31.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(sqrt (fabs (- 1 (exp (* (log (/ b a)) 2)))))
17.0ms	(exp (* (log (/ b a)) 2))

simplify1.8s

Counts

30 → 30

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	38	345
1	63	263
2	134	230
3	545	230
4	3382	228
done	5000	228

prune66.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fabs (- 1 (log (exp (pow (/ b a) 2))))))
0.4b	(pow (/ b a) 2)
5.5b	(log (exp (pow (/ b a) 2)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

26×	`unpow-prod-down`
22×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`log-pow`
18×	`exp-prod` `times-frac`
6×	`pow1` `add-exp-log`
3×	`pow-unpow` `log-prod` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
2×	`pow-exp` `div-inv` `unpow2` `sqr-pow`
1×	`pow-to-exp` `rem-sqrt-square` `pow-pow` `sqrt-pow1` `pow1/2` `div-exp` `rem-log-exp`

Counts

3 → 72

Calls

3 calls:

1.0ms	(sqrt (fabs (- 1 (log (exp (pow (/ b a) 2))))))
4.0ms	(pow (/ b a) 2)
13.0ms	(log (exp (pow (/ b a) 2)))

series49.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(sqrt (fabs (- 1 (log (exp (pow (/ b a) 2))))))
17.0ms	(pow (/ b a) 2)
17.0ms	(log (exp (pow (/ b a) 2)))

simplify797.0ms

Counts

81 → 81

Iterations

Useful iterations: done (795.0ms)

Iter	Nodes	Cost
0	148	864
1	261	684
2	570	612
3	1657	611
done	5000	590

prune216.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

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	11
1	13	11
done	13	11

end0.0ms

sample607.0ms

Algorithm

intervals

Results

195.0ms	8000×	body	80	valid
93.0ms	8109×	pre	80	false
91.0ms	8000×	pre	80	true