Details

sample154.0ms

Algorithm

intervals

Results

55.0ms	239×	body	160	nan
44.0ms	519×	body	80	nan
28.0ms	256×	body	80	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
8	2000
7	1825
6	472
5	156
4	60
3	35
2	19
1	16
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.8b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (sqrt (- (* x x) 1)))
0.2b	(log (+ x (sqrt (- (* x x) 1))))
30.5b	(sqrt (- (* x x) 1))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
6×	`sqrt-prod`
5×	`pow1` `add-cube-cbrt` `add-log-exp`
4×	`log-prod` `add-exp-log`
3×	`add-cbrt-cube` `insert-posit16`
2×	`log-div` `flip3-+` `sqrt-div` `flip-+` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `flip3--` `pow1/2` `difference-of-sqr-1` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 48

Calls

3 calls:

20.0ms	(+ x (sqrt (- (* x x) 1)))
13.0ms	(log (+ x (sqrt (- (* x x) 1))))
14.0ms	(sqrt (- (* x x) 1))

series300.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(+ x (sqrt (- (* x x) 1)))
193.0ms	(log (+ x (sqrt (- (* x x) 1))))
45.0ms	(sqrt (- (* x x) 1))

simplify955.0ms

Counts

57 → 57

Iterations

Iter	Nodes
done	2001
3	2001
2	743
1	300
0	135

prune246.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))
0.0b	(sqrt (+ x 1))
0.2b	(log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))))
0.5b	(* (sqrt (+ x 1)) (sqrt (- x 1)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`sqrt-prod`
17×	`*-un-lft-identity`
14×	`sqrt-div`
10×	`pow1` `associate-r` `add-cube-cbrt`
7×	`associate-l` `add-exp-log`
6×	`flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
4×	`frac-times` `insert-posit16` `unswap-sqr`
3×	`log-prod` `sqrt-pow1` `flip3--` `pow1/2` `pow-prod-down` `flip--`
2×	`log-div` `associate-l/` `associate-r/` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-unprod` `difference-of-sqr-1` `rem-log-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--`

Counts

4 → 88

Calls

4 calls:

9.0ms	(+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))
5.0ms	(sqrt (+ x 1))
3.0ms	(log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))))
38.0ms	(* (sqrt (+ x 1)) (sqrt (- x 1)))

series470.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))
35.0ms	(sqrt (+ x 1))
210.0ms	(log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))))
114.0ms	(* (sqrt (+ x 1)) (sqrt (- x 1)))

simplify970.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	2000
3	2000
2	994
1	412
0	185

prune356.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) (* x x))
0.2b	(/ 3/32 (* (* x x) (* x x)))
0.2b	(+ (log 2) (log x))
1.0b	(/ 1/4 (* x x))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

119×	`pow1`
39×	`add-cbrt-cube` `add-exp-log`
36×	`pow-prod-up`
23×	`pow-prod-down`
22×	`pow-sqr`
18×	`pow-plus`
17×	`prod-exp` `cbrt-unprod`
14×	`*-un-lft-identity`
13×	`pow2`
10×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`cbrt-undiv` `div-exp`
6×	`log-prod` `times-frac` `associate-/l*`
4×	`log-pow` `insert-posit16` `distribute-lft-out` `add-log-exp`
3×	`associate-+l+` `associate-+r+`
2×	`clear-num` `associate-/r*` `frac-2neg` `div-inv`
1×	`+-commutative` `sum-log` `flip3-+` `swap-sqr` `associate-r` `associate-l` `*-commutative` `flip-+` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

36.0ms	(* (* x x) (* x x))
21.0ms	(/ 3/32 (* (* x x) (* x x)))
17.0ms	(+ (log 2) (log x))
13.0ms	(/ 1/4 (* x x))

series445.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* x x) (* x x))
39.0ms	(/ 3/32 (* (* x x) (* x x)))
319.0ms	(+ (log 2) (log x))
49.0ms	(/ 1/4 (* x x))

simplify1.1s

Counts

148 → 148

Iterations

Iter	Nodes
done	2521
3	2521
2	1414
1	412
0	159

prune366.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	14
1	14
0	9

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.5s	16756×	body	80	nan
1.4s	8044×	body	160	nan
708.0ms	8000×	body	80	valid