Details

sample115.0ms

Algorithm

intervals

Results

75.0ms	89×	body	10240	exit
17.0ms	264×	body	80	valid
5.0ms	10×	body	640	valid
2.0ms	2×	body	1280	valid
1.0ms	5×	body	320	valid
0.0ms	2×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
2	21
1	14
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

0.1b	(log (+ 1 (exp x)))

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-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

8.0ms

(log (+ 1 (exp x)))

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

(log (+ 1 (exp x)))

simplify2.1s

Counts

19 → 19

Iterations

Iter	Nodes
done	5007
6	3322
5	1262
4	654
3	363
2	180
1	85
0	46

prune63.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

0.1b	(log (+ (exp x) 1))

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-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

7.0ms

(log (+ (exp x) 1))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(log (+ (exp x) 1))

simplify3.6s

Counts

19 → 19

Iterations

Iter	Nodes
done	5000
7	4797
6	2432
5	1292
4	719
3	376
2	177
1	82
0	44

prune96.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(log (+ (exp x) 1))
0.1b	(log (+ (exp x) 1))
0.8b	(* (log (+ (exp x) 1)) (log (+ (exp x) 1)))
0.8b	(cbrt (* (* (log (+ (exp x) 1)) (log (+ (exp x) 1))) (log (+ (exp x) 1))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
19×	`pow1`
16×	`log-prod`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
8×	`add-exp-log` `log-pow`
6×	`add-cbrt-cube` `swap-sqr`
4×	`distribute-rgt-in` `log-div` `distribute-lft-in` `associate-r` `associate-l` `insert-posit16` `distribute-lft-out` `add-log-exp`
2×	`flip3-+` `rem-log-exp` `flip-+`
1×	`cbrt-prod` `pow2` `pow-plus` `pow1/3` `pow3` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

13.0ms	(log (+ (exp x) 1))
10.0ms	(log (+ (exp x) 1))
28.0ms	(* (log (+ (exp x) 1)) (log (+ (exp x) 1)))
28.0ms	(cbrt (* (* (log (+ (exp x) 1)) (log (+ (exp x) 1))) (log (+ (exp x) 1))))

series285.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(log (+ (exp x) 1))
72.0ms	(log (+ (exp x) 1))
85.0ms	(* (log (+ (exp x) 1)) (log (+ (exp x) 1)))
64.0ms	(cbrt (* (* (log (+ (exp x) 1)) (log (+ (exp x) 1))) (log (+ (exp x) 1))))

simplify2.2s

Counts

94 → 94

Iterations

Iter	Nodes
done	5003
4	1936
3	1005
2	527
1	210
0	90

prune391.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(log (- 1 (* (exp x) (exp x))))
0.2b	(- (log (- 1 (* (exp x) (exp x)))) (log (- 1 (exp x))))
4.6b	(- 1 (* (exp x) (exp x)))
4.6b	(- 1 (exp x))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`log-prod`
11×	`difference-of-squares`
9×	`pow1`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`log-div` `flip3--` `flip--` `associate--r+` `distribute-lft-out--`
5×	`associate--l+` `add-exp-log` `log-pow`
4×	`add-cbrt-cube` `insert-posit16`
3×	`sub-neg` `diff-log`
2×	`associate--l-` `associate--r-`
1×	`rem-log-exp`

Counts

4 → 81

Calls

4 calls:

4.0ms	(log (- 1 (* (exp x) (exp x))))
29.0ms	(- (log (- 1 (* (exp x) (exp x)))) (log (- 1 (exp x))))
9.0ms	(- 1 (* (exp x) (exp x)))
13.0ms	(- 1 (exp x))

series301.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(log (- 1 (* (exp x) (exp x))))
177.0ms	(- (log (- 1 (* (exp x) (exp x)))) (log (- 1 (exp x))))
26.0ms	(- 1 (* (exp x) (exp x)))
22.0ms	(- 1 (exp x))

simplify1.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
3	2371
2	856
1	359
0	152

prune470.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes74.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample3.8s

Algorithm

intervals

Results

2.1s	2498×	body	10240	exit
1.1s	8348×	body	80	valid
136.0ms	145×	body	1280	valid
121.0ms	262×	body	640	valid
49.0ms	179×	body	320	valid
20.0ms	98×	body	160	valid