Details

sample110.0ms

Algorithm

intervals

Results

55.0ms	77×	body	1280	valid
19.0ms	52×	body	640	valid
5.0ms	26×	body	320	valid
5.0ms	87×	body	80	valid
3.0ms	83×	body	80	nan
2.0ms	14×	body	160	valid

simplify15.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.8b

localize19.0ms

Local error

Found 1 expressions with local error:

3.4b	(log (+ 1.0 x))

rewrite11.0ms

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×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

10.0ms

(log (+ 1.0 x))

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(log (+ 1.0 x))

simplify5.5s

Counts

21 → 21

Iterations

Iter	Nodes
done	5002
4	2656
3	826
2	323
1	132
0	61

prune207.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize103.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

3.0ms

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

series59.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify4.4s

Counts

14 → 14

Iterations

Iter	Nodes
done	5016
4	1920
3	371
2	119
1	47
0	26

prune145.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 1 expressions with local error:

3.4b	(log (+ x 1.0))

rewrite15.0ms

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×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

13.0ms

(log (+ x 1.0))

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

(log (+ x 1.0))

simplify5.2s

Counts

21 → 21

Iterations

Iter	Nodes
done	5001
4	2564
3	833
2	323
1	132
0	62

prune189.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize90.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (log (+ x 1.0)))
3.4b	(log (+ x 1.0))
3.4b	(log (+ x 1.0))
3.4b	(log (+ x 1.0))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`log-prod`
8×	`add-sqr-sqrt` `pow1` `add-cube-cbrt`
7×	`add-exp-log`
6×	`log-div`
4×	`cbrt-prod` `expm1-log1p-u` `add-cbrt-cube` `log-pow` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`pow1/3`

Counts

4 → 69

Calls

4 calls:

3.0ms	(cbrt (log (+ x 1.0)))
11.0ms	(log (+ x 1.0))
12.0ms	(log (+ x 1.0))
20.0ms	(log (+ x 1.0))

series464.0ms

Counts

4 → 12

Calls

4 calls:

274.0ms	(cbrt (log (+ x 1.0)))
59.0ms	(log (+ x 1.0))
66.0ms	(log (+ x 1.0))
65.0ms	(log (+ x 1.0))

simplify6.8s

Counts

81 → 81

Iterations

Iter	Nodes
done	5009
3	3606
2	942
1	325
0	130

prune923.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

regimes149.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.9b

bsearch67.0ms

Steps

Iters	Range		Point
10	4.3052657707541446e-11	1.874259372897972	4.018374793923451e-06

simplify6.0ms

Iterations

Iter	Nodes
done	14
1	14
0	13

end0.0ms

sample3.8s

Algorithm

intervals

Results

2.2s	2188×	body	1280	valid
734.0ms	1682×	body	640	valid
201.0ms	841×	body	320	valid
167.0ms	2857×	body	80	valid
147.0ms	2800×	body	80	nan
62.0ms	432×	body	160	valid