Details

sample37.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
3.0ms	89×	body	80	nan

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	162
1	8	162
done	8	162

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (sqrt (+ x 1.0)))
0.0b	(sqrt (+ x 1.0))
0.2b	(/ x (+ 1.0 (sqrt (+ x 1.0))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`times-frac`
6×	`distribute-lft-out`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`pow1` `associate-/r*` `sqrt-prod`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`sqrt-div` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `clear-num` `sum-log` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `div-inv`

Counts

3 → 61

Calls

3 calls:

24.0ms	(+ 1.0 (sqrt (+ x 1.0)))
11.0ms	(sqrt (+ x 1.0))
48.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

series278.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ 1.0 (sqrt (+ x 1.0)))
39.0ms	(sqrt (+ x 1.0))
188.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify1.4s

Counts

70 → 70

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	137	22020
1	316	17420
2	1080	16734
done	5001	16694

prune290.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (log (exp (sqrt (+ x 1.0)))))
0.0b	(/ x (+ 1.0 (log (exp (sqrt (+ x 1.0))))))
0.0b	(sqrt (+ x 1.0))
1.7b	(log (exp (sqrt (+ x 1.0))))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
19×	`add-cube-cbrt`
15×	`times-frac`
13×	`log-pow`
12×	`distribute-lft-out`
11×	`pow1`
8×	`sqrt-prod`
7×	`exp-prod`
6×	`log-prod` `add-cbrt-cube` `add-exp-log`
5×	`associate-/r*` `add-log-exp`
3×	`associate-+r+` `flip3-+` `flip-+` `associate-/l*`
2×	`sqrt-div` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `clear-num` `sum-log` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `rem-log-exp` `div-inv`

Counts

4 → 88

Calls

4 calls:

41.0ms	(+ 1.0 (log (exp (sqrt (+ x 1.0)))))
101.0ms	(/ x (+ 1.0 (log (exp (sqrt (+ x 1.0))))))
7.0ms	(sqrt (+ x 1.0))
23.0ms	(log (exp (sqrt (+ x 1.0))))

series386.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(+ 1.0 (log (exp (sqrt (+ x 1.0)))))
240.0ms	(/ x (+ 1.0 (log (exp (sqrt (+ x 1.0))))))
53.0ms	(sqrt (+ x 1.0))
33.0ms	(log (exp (sqrt (+ x 1.0))))

simplify1.6s

Counts

100 → 100

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	165	38593
1	357	23066
2	1151	22217
done	5000	22177

prune421.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ x (/ (- (* 1.0 1.0) (+ x 1.0)) (- 1.0 (sqrt (+ x 1.0)))))
0.2b	(/ (- (* 1.0 1.0) (+ x 1.0)) (- 1.0 (sqrt (+ x 1.0))))
2.6b	(- (* 1.0 1.0) (+ x 1.0))
2.6b	(- 1.0 (sqrt (+ x 1.0)))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

211×	`add-sqr-sqrt`
210×	`times-frac`
135×	`*-un-lft-identity`
91×	`add-cube-cbrt`
76×	`difference-of-squares`
36×	`associate-/r*`
22×	`sqrt-prod` `distribute-lft-out--`
11×	`add-cbrt-cube` `add-exp-log` `associate-/r/` `add-log-exp`
8×	`flip3--` `flip--`
7×	`associate-/l*`
6×	`div-inv`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`diff-log`
2×	`clear-num` `sub-neg` `frac-2neg` `associate-/l/`
1×	`sum-log` `div-sub` `associate--r+`

Counts

4 → 219

Calls

4 calls:

51.0ms	(/ x (/ (- (* 1.0 1.0) (+ x 1.0)) (- 1.0 (sqrt (+ x 1.0)))))
76.0ms	(/ (- (* 1.0 1.0) (+ x 1.0)) (- 1.0 (sqrt (+ x 1.0))))
19.0ms	(- (* 1.0 1.0) (+ x 1.0))
12.0ms	(- 1.0 (sqrt (+ x 1.0)))

series389.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(/ x (/ (- (* 1.0 1.0) (+ x 1.0)) (- 1.0 (sqrt (+ x 1.0)))))
208.0ms	(/ (- (* 1.0 1.0) (+ x 1.0)) (- 1.0 (sqrt (+ x 1.0))))
13.0ms	(- (* 1.0 1.0) (+ x 1.0))
65.0ms	(- 1.0 (sqrt (+ x 1.0)))

simplify3.1s

Counts

231 → 231

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	329	118988
1	921	108602
2	3310	103063
done	5040	102503

prune989.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 20.7b

bsearch37.0ms

Steps

Iters	Range		Point
9	0.1909160003853501	166131308.15705827	0.45824071693540197

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	633
1	18	633
done	18	633

end0.0ms

sample656.0ms

Algorithm

intervals

Results

358.0ms	7994×	body	80	valid
125.0ms	2676×	body	80	nan
1.0ms	6×	body	1280	valid