Details

sample42.0ms

Algorithm

intervals

Results

14.0ms	283×	body	80	valid
12.0ms	299×	body	80	nan

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	4510
9	2947
8	1717
7	1207
6	890
5	546
4	246
3	112
2	57
1	26
0	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x 0.5 (* (- 1.0 (- z (log z))) y))
0.0b	(- 1.0 (- z (log z)))
0.1b	(* (- 1.0 (- z (log z))) y)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
30×	`prod-diff`
22×	`add-cube-cbrt`
16×	`distribute-lft-out--`
14×	`associate--r+`
13×	`pow1`
8×	`log-pow`
7×	`associate-l` `add-log-exp`
5×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
3×	`expm1-log1p-u` `fma-neg` `diff-log` `associate-r` `insert-posit16` `log1p-expm1-u`
2×	`sub-neg` `flip3--` `associate-*l/` `flip--`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `associate--r-` `unswap-sqr`

Counts

3 → 94

Calls

3 calls:

0.0ms	(fma x 0.5 (* (- 1.0 (- z (log z))) y))
23.0ms	(- 1.0 (- z (log z)))
56.0ms	(* (- 1.0 (- z (log z))) y)

series384.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(fma x 0.5 (* (- 1.0 (- z (log z))) y))
215.0ms	(- 1.0 (- z (log z)))
102.0ms	(* (- 1.0 (- z (log z))) y)

simplify3.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	2852
2	1020
1	414
0	178

prune474.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- z (log z)))
0.1b	(sqrt (- z (log z)))
0.2b	(* (- (sqrt 1.0) (sqrt (- z (log z)))) y)
0.3b	(* (+ (sqrt 1.0) (sqrt (- z (log z)))) (* (- (sqrt 1.0) (sqrt (- z (log z)))) y))

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
28×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-l`
17×	`pow1`
12×	`distribute-lft-out--`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-*l/`
9×	`add-cube-cbrt`
6×	`flip3--` `flip--` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `sqrt-div` `associate-r` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative`
1×	`unswap-sqr`

Counts

4 → 106

Calls

4 calls:

8.0ms	(sqrt (- z (log z)))
12.0ms	(sqrt (- z (log z)))
73.0ms	(* (- (sqrt 1.0) (sqrt (- z (log z)))) y)
168.0ms	(* (+ (sqrt 1.0) (sqrt (- z (log z)))) (* (- (sqrt 1.0) (sqrt (- z (log z)))) y))

series983.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(sqrt (- z (log z)))
38.0ms	(sqrt (- z (log z)))
186.0ms	(* (- (sqrt 1.0) (sqrt (- z (log z)))) y)
702.0ms	(* (+ (sqrt 1.0) (sqrt (- z (log z)))) (* (- (sqrt 1.0) (sqrt (- z (log z)))) y))

simplify5.1s

Counts

118 → 118

Iterations

Iter	Nodes
done	5002
2	3576
1	991
0	329

prune710.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (+ (sqrt 1.0) (sqrt (- z (log z)))))
0.2b	(* (- (sqrt 1.0) (sqrt (- z (log z)))) y)
0.3b	(* (sqrt (+ (sqrt 1.0) (sqrt (- z (log z))))) (* (- (sqrt 1.0) (sqrt (- z (log z)))) y))
0.4b	(* (sqrt (+ (sqrt 1.0) (sqrt (- z (log z))))) (* (sqrt (+ (sqrt 1.0) (sqrt (- z (log z))))) (* (- (sqrt 1.0) (sqrt (- z (log z)))) y)))

rewrite635.0ms

Algorithm

rewrite-expression-head

Rules

53×	`sqrt-prod`
47×	`*-un-lft-identity`
44×	`sqrt-div`
36×	`associate-*l/`
32×	`frac-times`
31×	`associate-l`
30×	`add-sqr-sqrt`
25×	`pow1`
22×	`flip3-+` `flip-+`
20×	`add-cbrt-cube` `add-exp-log`
16×	`associate-*r/`
13×	`flip3--` `flip--`
12×	`distribute-lft-out` `distribute-lft-out--`
11×	`add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-r`
4×	`expm1-log1p-u` `log-pow` `hypot-def` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`*-commutative`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `unswap-sqr`

Counts

4 → 150

Calls

4 calls:

39.0ms	(sqrt (+ (sqrt 1.0) (sqrt (- z (log z)))))
76.0ms	(* (- (sqrt 1.0) (sqrt (- z (log z)))) y)
123.0ms	(* (sqrt (+ (sqrt 1.0) (sqrt (- z (log z))))) (* (- (sqrt 1.0) (sqrt (- z (log z)))) y))
391.0ms	(* (sqrt (+ (sqrt 1.0) (sqrt (- z (log z))))) (* (sqrt (+ (sqrt 1.0) (sqrt (- z (log z))))) (* (- (sqrt 1.0) (sqrt (- z (log z)))) y)))

series2.4s

Counts

4 → 12

Calls

4 calls:

170.0ms	(sqrt (+ (sqrt 1.0) (sqrt (- z (log z)))))
146.0ms	(* (- (sqrt 1.0) (sqrt (- z (log z)))) y)
1.4s	(* (sqrt (+ (sqrt 1.0) (sqrt (- z (log z))))) (* (- (sqrt 1.0) (sqrt (- z (log z)))) y))
730.0ms	(* (sqrt (+ (sqrt 1.0) (sqrt (- z (log z))))) (* (sqrt (+ (sqrt 1.0) (sqrt (- z (log z))))) (* (- (sqrt 1.0) (sqrt (- z (log z)))) y)))

simplify4.7s

Counts

162 → 162

Iterations

Iter	Nodes
done	5001
1	1736
0	548

prune1.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- 1.0 (- z (log z)))) (cbrt (- 1.0 (- z (log z)))))
0.5b	(cbrt (- 1.0 (- z (log z))))
0.5b	(cbrt (- 1.0 (- z (log z))))
0.5b	(cbrt (- 1.0 (- z (log z))))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

112×	`*-un-lft-identity`
77×	`cbrt-prod`
65×	`distribute-lft-out--`
37×	`add-sqr-sqrt`
24×	`pow1`
22×	`swap-sqr`
18×	`cbrt-div`
15×	`add-cube-cbrt`
13×	`log-pow`
10×	`associate-r` `associate-l`
9×	`flip3--` `pow1/3` `flip--`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 135

Calls

4 calls:

161.0ms	(* (cbrt (- 1.0 (- z (log z)))) (cbrt (- 1.0 (- z (log z)))))
19.0ms	(cbrt (- 1.0 (- z (log z))))
19.0ms	(cbrt (- 1.0 (- z (log z))))
26.0ms	(cbrt (- 1.0 (- z (log z))))

series333.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (cbrt (- 1.0 (- z (log z)))) (cbrt (- 1.0 (- z (log z)))))
72.0ms	(cbrt (- 1.0 (- z (log z))))
66.0ms	(cbrt (- 1.0 (- z (log z))))
85.0ms	(cbrt (- 1.0 (- z (log z))))

simplify2.2s

Counts

147 → 147

Iterations

Iter	Nodes
done	5003
2	2237
1	695
0	253

prune889.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes208.0ms

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	11
1	11
0	10

end0.0ms

sample2.0s

Algorithm

intervals

Results

926.0ms	8830×	body	80	nan
668.0ms	9174×	body	80	valid