Details

sample155.0ms

Algorithm

intervals

Results

66.0ms	102×	body	1280	valid
31.0ms	239×	body	80	nan
29.0ms	81×	body	640	valid
10.0ms	41×	body	320	valid
4.0ms	25×	body	160	valid
1.0ms	7×	body	80	valid

simplify157.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	197
8	197
7	194
6	152
5	136
4	101
3	61
2	29
1	21
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1) (- 1 x))
7.8b	(log (/ (+ x 1) (- 1 x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
7×	`add-exp-log`
6×	`associate-/r*`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 97

Calls

2 calls:

21.0ms	(/ (+ x 1) (- 1 x))
6.0ms	(log (/ (+ x 1) (- 1 x)))

series115.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (+ x 1) (- 1 x))
84.0ms	(log (/ (+ x 1) (- 1 x)))

simplify2.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
3	3820
2	1036
1	387
0	166

prune366.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (fma (* 2/3 x) x 2))
0.3b	(* 2/3 x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

2 → 44

Calls

2 calls:

10.0ms	(* x (fma (* 2/3 x) x 2))
15.0ms	(* 2/3 x)

series132.0ms

Counts

2 → 6

Calls

2 calls:

113.0ms	(* x (fma (* 2/3 x) x 2))
19.0ms	(* 2/3 x)

simplify1.5s

Counts

50 → 50

Iterations

Iter	Nodes
done	5005
3	1680
2	423
1	155
0	69

prune203.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* (* 2/3 x) x) x)
0.1b	(* (* 2/3 x) x)
0.3b	(* 2/3 x)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `associate-r`
7×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-l`
3×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

3 → 66

Calls

3 calls:

55.0ms	(* (* (* 2/3 x) x) x)
20.0ms	(* (* 2/3 x) x)
8.0ms	(* 2/3 x)

series106.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* (* (* 2/3 x) x) x)
37.0ms	(* (* 2/3 x) x)
21.0ms	(* 2/3 x)

simplify2.7s

Counts

75 → 75

Iterations

Iter	Nodes
done	5003
3	2518
2	582
1	203
0	77

prune266.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (sqrt x))
0.0b	(/ (+ x 1) (- 1 (sqrt x)))
4.8b	(+ (- (log1p (sqrt x))) (log (/ (+ x 1) (- 1 (sqrt x)))))
6.6b	(log (/ (+ x 1) (- 1 (sqrt x))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

177×	`*-un-lft-identity`
141×	`add-sqr-sqrt`
108×	`times-frac`
84×	`log-prod`
52×	`difference-of-squares`
50×	`add-cube-cbrt`
42×	`associate-+r+`
39×	`sqrt-prod`
32×	`distribute-lft-out`
26×	`distribute-lft-out--`
10×	`fma-def`
9×	`associate-/r*` `add-exp-log`
7×	`pow1`
6×	`add-cbrt-cube` `associate-/r/` `add-log-exp`
5×	`expm1-log1p-u` `distribute-rgt-neg-in`
4×	`insert-posit16` `log1p-expm1-u` `associate-/l*`
3×	`distribute-lft-neg-in` `sum-log` `flip3--` `log-pow` `div-inv` `flip--`
2×	`log-div` `log1p-udef` `flip3-+` `div-exp` `rem-log-exp` `neg-log` `flip-+` `associate-/l/`
1×	`neg-sub0` `cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `neg-mul-1` `frac-2neg` `log1p-expm1` `associate-+l-`

Counts

4 → 210

Calls

4 calls:

1.0ms	(log1p (sqrt x))
34.0ms	(/ (+ x 1) (- 1 (sqrt x)))
18.0ms	(+ (- (log1p (sqrt x))) (log (/ (+ x 1) (- 1 (sqrt x)))))
7.0ms	(log (/ (+ x 1) (- 1 (sqrt x))))

series725.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(log1p (sqrt x))
85.0ms	(/ (+ x 1) (- 1 (sqrt x)))
299.0ms	(+ (- (log1p (sqrt x))) (log (/ (+ x 1) (- 1 (sqrt x)))))
188.0ms	(log (/ (+ x 1) (- 1 (sqrt x))))

simplify1.6s

Counts

222 → 222

Iterations

Iter	Nodes
done	5001
2	1617
1	628
0	261

prune841.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes18.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	20
1	20
0	14

end0.0ms

sample5.9s

Algorithm

intervals

Results

3.2s	3390×	body	1280	valid
1.2s	2482×	body	640	valid
649.0ms	8102×	body	80	nan
450.0ms	1276×	body	320	valid
113.0ms	629×	body	160	valid
17.0ms	223×	body	80	valid