Details

sample60.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
7.0ms	255×	pre	80	false
6.0ms	256×	pre	80	true

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	48	11
3	103	11
4	330	11
5	1613	11
done	5000	11

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
31.5b	(/ (* 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))

series99.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
69.0ms	(/ (* b b) (* a a))

simplify1.3s

Counts

44 → 44

Iterations

Useful iterations: 2 (310.0ms)

Iter	Nodes	Cost
0	69	538
1	193	502
2	1676	410
done	5001	410

prune232.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

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)))))
49.0ms	(* (/ b a) (/ b a))

series76.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
45.0ms	(* (/ b a) (/ b a))

simplify2.8s

Counts

90 → 90

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	132	1119
1	416	1009
2	2822	912
done	5001	867

prune502.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fabs (- 1 (log (exp (* (/ b a) (/ b a)))))))
0.3b	(* (/ b a) (/ b a))
6.3b	(log (exp (* (/ b a) (/ b a))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 100

Calls

3 calls:

2.0ms	(sqrt (fabs (- 1 (log (exp (* (/ b a) (/ b a)))))))
43.0ms	(* (/ b a) (/ b a))
7.0ms	(log (exp (* (/ b a) (/ b a))))

series129.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(sqrt (fabs (- 1 (log (exp (* (/ b a) (/ b a)))))))
47.0ms	(* (/ b a) (/ b a))
54.0ms	(log (exp (* (/ b a) (/ b a))))

simplify3.0s

Counts

109 → 109

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	151	1376
1	440	1187
2	2922	1072
done	5001	1023

prune677.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ b a) (/ b a))
0.3b	(* (/ b a) (/ b a))
6.1b	(log (sqrt (exp (* (/ b a) (/ b a)))))
6.1b	(log (sqrt (exp (* (/ b a) (/ b a)))))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

88×	`add-sqr-sqrt`
80×	`times-frac`
64×	`add-cube-cbrt` `*-un-lft-identity`
30×	`add-exp-log`
28×	`add-cbrt-cube`
26×	`swap-sqr` `associate-r` `associate-l`
22×	`pow1`
12×	`log-prod`
10×	`log-pow`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
6×	`sqrt-pow1` `sqrt-prod` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow2` `frac-times` `exp-prod` `exp-to-pow` `pow-plus` `pow1/2` `associate-r/` `rem-log-exp` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 180

Calls

4 calls:

43.0ms	(* (/ b a) (/ b a))
42.0ms	(* (/ b a) (/ b a))
10.0ms	(log (sqrt (exp (* (/ b a) (/ b a)))))
19.0ms	(log (sqrt (exp (* (/ b a) (/ b a)))))

series308.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (/ b a) (/ b a))
44.0ms	(* (/ b a) (/ b a))
107.0ms	(log (sqrt (exp (* (/ b a) (/ b a)))))
114.0ms	(log (sqrt (exp (* (/ b a) (/ b a)))))

simplify2.8s

Counts

192 → 192

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	143	2378
1	428	2168
2	2871	1942
done	5001	1844

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes111.0ms

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	10	13
1	12	13
done	12	13

end0.0ms

sample1.6s

Algorithm

intervals

Results

435.0ms	8000×	body	80	valid
207.0ms	8000×	pre	80	true
201.0ms	7987×	pre	80	false