Details

sample82.0ms

Algorithm

intervals

Results

38.0ms	60×	body	1280	valid
20.0ms	58×	body	640	valid
5.0ms	31×	body	320	valid
3.0ms	96×	body	80	valid
2.0ms	70×	body	80	nan
1.0ms	11×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.7b

localize10.0ms

Local error

Found 1 expressions with local error:

3.5b	(log (+ x 1.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
1×	`flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

7.0ms

(log (+ x 1.0))

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

(log (+ x 1.0))

simplify658.0ms

Counts

18 → 18

Iterations

Iter	Nodes
done	5001
3	1359
2	384
1	123
0	59

prune86.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* (/ (* x x) 1.0) (/ -1/2 1.0)) (+ (log 1.0) (* x 1.0)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

6×	`frac-add`
5×	`add-log-exp`
4×	`flip3-+` `flip-+`
3×	`sum-log`
2×	`frac-times` `associate-l/` `associate-r/`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+r+` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`

Counts

1 → 19

Calls

1 calls:

34.0ms

(+ (* (/ (* x x) 1.0) (/ -1/2 1.0)) (+ (log 1.0) (* x 1.0)))

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(+ (* (/ (* x x) 1.0) (/ -1/2 1.0)) (+ (log 1.0) (* x 1.0)))

simplify890.0ms

Counts

22 → 22

Iterations

Iter	Nodes
done	5000
2	1766
1	292
0	77

prune102.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
3.5b	(log (sqrt (+ 1.0 x)))
3.5b	(log (sqrt (+ 1.0 x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`sqrt-prod`
14×	`log-prod`
12×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`log-div` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 72

Calls

4 calls:

7.0ms	(sqrt (+ 1.0 x))
6.0ms	(sqrt (+ 1.0 x))
5.0ms	(log (sqrt (+ 1.0 x)))
7.0ms	(log (sqrt (+ 1.0 x)))

series291.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sqrt (+ 1.0 x))
39.0ms	(sqrt (+ 1.0 x))
108.0ms	(log (sqrt (+ 1.0 x)))
109.0ms	(log (sqrt (+ 1.0 x)))

simplify1.3s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
3	3255
2	619
1	180
0	89

prune433.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
3.5b	(log (+ x 1.0))
3.5b	(log (sqrt (+ 1.0 x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`log-prod`
8×	`add-sqr-sqrt` `sqrt-prod`
7×	`pow1` `add-cube-cbrt`
5×	`add-exp-log`
4×	`log-div` `sqrt-div` `log-pow`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `rem-log-exp`
1×	`rem-sqrt-square`

Counts

3 → 51

Calls

3 calls:

7.0ms	(sqrt (+ 1.0 x))
4.0ms	(log (+ x 1.0))
5.0ms	(log (sqrt (+ 1.0 x)))

series232.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(sqrt (+ 1.0 x))
75.0ms	(log (+ x 1.0))
122.0ms	(log (sqrt (+ 1.0 x)))

simplify2.4s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
3	4299
2	923
1	269
0	133

prune301.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes69.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.4b

bsearch58.0ms

Steps

Iters	Range		Point
9	7.294142785006675e-07	13.800596953327334	6.379153737872092e-06

simplify7.0ms

Iterations

Iter	Nodes
done	28
1	28
0	22

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.0s	2332×	body	1280	valid
556.0ms	1637×	body	640	valid
236.0ms	843×	body	320	valid
104.0ms	2798×	body	80	valid
67.0ms	2683×	body	80	nan
40.0ms	390×	body	160	valid