Details

sample126.0ms

Algorithm

intervals

Results

58.0ms	89×	body	10240	exit
26.0ms	264×	body	80	valid
4.0ms	10×	body	640	valid
2.0ms	5×	body	320	valid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	160	valid

simplify39.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	12
0	8

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 1 expressions with local error:

0.1b	(log (+ 1.0 (exp x)))

rewrite18.0ms

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:

17.0ms

(log (+ 1.0 (exp x)))

series172.0ms

Counts

1 → 3

Calls

1 calls:

172.0ms

(log (+ 1.0 (exp x)))

simplify6.9s

Counts

19 → 19

Iterations

Iter	Nodes
done	5019
5	4007
4	1268
3	534
2	219
1	103
0	53

prune231.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 1 expressions with local error:

0.1b	(log (+ (exp x) 1.0))

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

Counts

1 → 16

Calls

1 calls:

10.0ms

(log (+ (exp x) 1.0))

series168.0ms

Counts

1 → 3

Calls

1 calls:

168.0ms

(log (+ (exp x) 1.0))

simplify5.1s

Counts

19 → 19

Iterations

Iter	Nodes
done	5000
5	3216
4	1161
3	512
2	218
1	102
0	51

prune181.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize68.0ms

Local error

Found 4 expressions with local error:

0.1b	(log (+ (exp x) 1.0))
0.1b	(log (+ (exp x) 1.0))
0.8b	(* (log (+ (exp x) 1.0)) (log (+ (exp x) 1.0)))
0.8b	(cbrt (* (* (log (+ (exp x) 1.0)) (log (+ (exp x) 1.0))) (log (+ (exp x) 1.0))))

rewrite97.0ms

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:

10.0ms	(log (+ (exp x) 1.0))
19.0ms	(log (+ (exp x) 1.0))
37.0ms	(* (log (+ (exp x) 1.0)) (log (+ (exp x) 1.0)))
27.0ms	(cbrt (* (* (log (+ (exp x) 1.0)) (log (+ (exp x) 1.0))) (log (+ (exp x) 1.0))))

series678.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(log (+ (exp x) 1.0))
114.0ms	(log (+ (exp x) 1.0))
251.0ms	(* (log (+ (exp x) 1.0)) (log (+ (exp x) 1.0)))
149.0ms	(cbrt (* (* (log (+ (exp x) 1.0)) (log (+ (exp x) 1.0))) (log (+ (exp x) 1.0))))

simplify5.5s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
4	3208
3	1244
2	584
1	239
0	99

prune815.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize91.0ms

Local error

Found 4 expressions with local error:

0.1b	(log (- (* 1.0 1.0) (* (exp x) (exp x))))
0.2b	(- (log (- (* 1.0 1.0) (* (exp x) (exp x)))) (log (- 1.0 (exp x))))
4.6b	(- (* 1.0 1.0) (* (exp x) (exp x)))
4.6b	(- 1.0 (exp x))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

25.0ms	(log (- (* 1.0 1.0) (* (exp x) (exp x))))
49.0ms	(- (log (- (* 1.0 1.0) (* (exp x) (exp x)))) (log (- 1.0 (exp x))))
20.0ms	(- (* 1.0 1.0) (* (exp x) (exp x)))
24.0ms	(- 1.0 (exp x))

series601.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(log (- (* 1.0 1.0) (* (exp x) (exp x))))
344.0ms	(- (log (- (* 1.0 1.0) (* (exp x) (exp x)))) (log (- 1.0 (exp x))))
38.0ms	(- (* 1.0 1.0) (* (exp x) (exp x)))
29.0ms	(- 1.0 (exp x))

simplify4.2s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
3	2569
2	807
1	314
0	145

prune798.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes252.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.3s	2498×	body	10240	exit
593.0ms	8348×	body	80	valid
113.0ms	145×	body	1280	valid
109.0ms	262×	body	640	valid
44.0ms	179×	body	320	valid
14.0ms	98×	body	160	valid