Details

sample117.0ms

Algorithm

intervals

Results

23.0ms	862×	body	80	nan
9.0ms	256×	body	80	valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	9	7
done	9	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize47.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ 1.0 x) 1.0)
0.2b	(log (- (/ 1.0 x) 1.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
7×	`*-un-lft-identity`
6×	`log-prod`
4×	`add-log-exp` `difference-of-squares`
3×	`pow1` `add-exp-log` `add-cube-cbrt`
2×	`log-div` `times-frac` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `rem-log-exp` `log-pow`

Counts

2 → 32

Calls

2 calls:

15.0ms	(- (/ 1.0 x) 1.0)
13.0ms	(log (- (/ 1.0 x) 1.0))

series118.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- (/ 1.0 x) 1.0)
78.0ms	(log (- (/ 1.0 x) 1.0))

simplify1.8s

Counts

38 → 38

Iterations

Useful iterations: 3 (916.0ms)

Iter	Nodes	Cost
0	82	433
1	166	422
2	569	383
3	3519	379
done	5000	379

prune144.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt (- (/ 1.0 x) 1.0)))
0.0b	(log (sqrt (- (/ 1.0 x) 1.0)))
0.4b	(sqrt (- (/ 1.0 x) 1.0))
0.4b	(sqrt (- (/ 1.0 x) 1.0))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
24×	`sqrt-prod`
18×	`log-prod` `*-un-lft-identity`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div` `difference-of-squares`
6×	`add-exp-log` `log-pow`
4×	`log-div` `sqrt-pow1` `times-frac` `flip3--` `add-cbrt-cube` `pow1/2` `flip--` `distribute-lft-out--` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 80

Calls

4 calls:

13.0ms	(log (sqrt (- (/ 1.0 x) 1.0)))
21.0ms	(log (sqrt (- (/ 1.0 x) 1.0)))
26.0ms	(sqrt (- (/ 1.0 x) 1.0))
25.0ms	(sqrt (- (/ 1.0 x) 1.0))

series500.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(log (sqrt (- (/ 1.0 x) 1.0)))
178.0ms	(log (sqrt (- (/ 1.0 x) 1.0)))
89.0ms	(sqrt (- (/ 1.0 x) 1.0))
80.0ms	(sqrt (- (/ 1.0 x) 1.0))

simplify2.6s

Counts

92 → 92

Iterations

Useful iterations: 3 (784.0ms)

Iter	Nodes	Cost
0	109	1280
1	217	1200
2	700	1100
3	4302	1084
done	5001	1084

prune501.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 x) 1.0)
0.0b	(log (sqrt (- (/ 1.0 x) 1.0)))
0.2b	(log (- (/ 1.0 x) 1.0))
0.4b	(sqrt (- (/ 1.0 x) 1.0))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
15×	`log-prod`
12×	`sqrt-prod`
8×	`pow1` `add-cube-cbrt` `difference-of-squares`
6×	`add-exp-log` `add-log-exp`
4×	`log-div` `times-frac` `flip3--` `add-cbrt-cube` `sqrt-div` `log-pow` `flip--` `distribute-lft-out--`
2×	`sqrt-pow1` `pow1/2` `rem-log-exp`
1×	`rem-sqrt-square` `sub-neg` `diff-log`

Counts

4 → 72

Calls

4 calls:

18.0ms	(- (/ 1.0 x) 1.0)
10.0ms	(log (sqrt (- (/ 1.0 x) 1.0)))
10.0ms	(log (- (/ 1.0 x) 1.0))
31.0ms	(sqrt (- (/ 1.0 x) 1.0))

series421.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- (/ 1.0 x) 1.0)
204.0ms	(log (sqrt (- (/ 1.0 x) 1.0)))
84.0ms	(log (- (/ 1.0 x) 1.0))
61.0ms	(sqrt (- (/ 1.0 x) 1.0))

simplify644.0ms

Counts

84 → 84

Iterations

Useful iterations: done (640.0ms)

Iter	Nodes	Cost
0	157	1073
1	306	1022
2	1205	933
done	5001	921

prune354.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.4b	(sqrt (- (/ 1.0 x) 1.0))
0.4b	(sqrt (- (/ 1.0 x) 1.0))
0.4b	(sqrt (- (/ 1.0 x) 1.0))
0.5b	(* (sqrt (sqrt (- (/ 1.0 x) 1.0))) (sqrt (sqrt (- (/ 1.0 x) 1.0))))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

116×	`sqrt-prod`
87×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
35×	`sqrt-pow1`
30×	`pow1` `sqrt-div`
20×	`swap-sqr`
19×	`pow1/2` `add-cube-cbrt`
14×	`difference-of-squares`
12×	`associate-r` `associate-l`
9×	`flip3--` `pow-prod-up` `flip--` `distribute-lft-out--` `unswap-sqr`
7×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-down` `pow-sqr`
4×	`frac-times` `add-log-exp`
3×	`rem-sqrt-square`
2×	`associate-l/` `associate-r/`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 148

Calls

4 calls:

16.0ms	(sqrt (- (/ 1.0 x) 1.0))
32.0ms	(sqrt (- (/ 1.0 x) 1.0))
34.0ms	(sqrt (- (/ 1.0 x) 1.0))
105.0ms	(* (sqrt (sqrt (- (/ 1.0 x) 1.0))) (sqrt (sqrt (- (/ 1.0 x) 1.0))))

series328.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(sqrt (- (/ 1.0 x) 1.0))
83.0ms	(sqrt (- (/ 1.0 x) 1.0))
95.0ms	(sqrt (- (/ 1.0 x) 1.0))
90.0ms	(* (sqrt (sqrt (- (/ 1.0 x) 1.0))) (sqrt (sqrt (- (/ 1.0 x) 1.0))))

simplify1.4s

Counts

160 → 160

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	155	2912
1	310	1924
2	1267	1811
done	5001	1774

prune621.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes244.0ms

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	6	7
done	6	7

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	24038×	body	80	nan
925.0ms	8000×	body	80	valid