Details

sample96.0ms

Algorithm

intervals

Results

32.0ms	88×	body	10240	exit
24.0ms	60×	body	1280	valid
17.0ms	60×	body	640	valid
7.0ms	31×	body	320	valid
6.0ms	92×	body	80	valid
2.0ms	13×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	9
1	9
0	5

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1))
4.1b	(- (exp x) 1)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
21×	`times-frac` `add-cube-cbrt`
10×	`difference-of-squares`
9×	`prod-diff`
7×	`associate-/r*`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-log-exp`
3×	`fma-neg` `add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `log1p-expm1-u` `flip--`
1×	`cbrt-undiv` `expm1-def` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 78

Calls

2 calls:

38.0ms	(/ (exp x) (- (exp x) 1))
18.0ms	(- (exp x) 1)

series62.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (exp x) (- (exp x) 1))
19.0ms	(- (exp x) 1)

simplify3.8s

Counts

84 → 84

Iterations

Iter	Nodes
4	5015
3	1556
2	568
1	247
0	124

prune627.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(expm1 x)
0.3b	(/ (exp x) (expm1 x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube`
3×	`associate-/r` `add-exp-log` `log1p-expm1-u` `associate-/l`
2×	`expm1-log1p-u` `pow1` `add-log-exp`
1×	`cbrt-undiv` `expm1-log1p` `clear-num` `frac-2neg` `div-exp` `div-inv` `expm1-udef`

Counts

2 → 40

Calls

2 calls:

1.0ms	(expm1 x)
10.0ms	(/ (exp x) (expm1 x))

series68.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(expm1 x)
42.0ms	(/ (exp x) (expm1 x))

simplify4.0s

Counts

46 → 46

Iterations

Iter	Nodes
5	4372
4	1828
3	836
2	376
1	144
0	71

prune328.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
0.3b	(* (sqrt (exp x)) (/ (sqrt (exp x)) (expm1 x)))
0.3b	(/ (sqrt (exp x)) (expm1 x))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity` `add-cube-cbrt`
35×	`sqrt-prod`
22×	`associate-r`
11×	`add-cbrt-cube` `add-exp-log`
8×	`pow1` `sqrt-pow1`
6×	`exp-prod` `associate-l` `associate-/l*` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*`
2×	`cbrt-undiv` `rem-sqrt-square` `pow1/2` `div-exp` `prod-exp` `cbrt-unprod` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 127

Calls

4 calls:

5.0ms	(sqrt (exp x))
4.0ms	(sqrt (exp x))
22.0ms	(* (sqrt (exp x)) (/ (sqrt (exp x)) (expm1 x)))
6.0ms	(/ (sqrt (exp x)) (expm1 x))

series137.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (exp x))
25.0ms	(sqrt (exp x))
29.0ms	(* (sqrt (exp x)) (/ (sqrt (exp x)) (expm1 x)))
69.0ms	(/ (sqrt (exp x)) (expm1 x))

simplify1.2s

Counts

139 → 139

Iterations

Iter	Nodes
3	2472
2	955
1	311
0	139

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1 (exp x))))
0.0b	(/ 1 (exp x))
4.1b	(- 1 (/ 1 (exp x)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

118×	`add-sqr-sqrt`
103×	`*-un-lft-identity`
89×	`times-frac`
63×	`add-cube-cbrt`
39×	`prod-diff`
30×	`difference-of-squares`
14×	`associate-/r*`
10×	`div-inv` `distribute-lft-out--`
8×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`pow1` `pow-flip` `add-log-exp`
4×	`div-exp`
3×	`expm1-log1p-u` `exp-prod` `fma-neg` `log1p-expm1-u`
2×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `associate-/r/` `flip--` `inv-pow`
1×	`sub-neg` `diff-log`

Counts

3 → 167

Calls

3 calls:

28.0ms	(/ 1 (- 1 (/ 1 (exp x))))
6.0ms	(/ 1 (exp x))
13.0ms	(- 1 (/ 1 (exp x)))

series80.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ 1 (- 1 (/ 1 (exp x))))
15.0ms	(/ 1 (exp x))
33.0ms	(- 1 (/ 1 (exp x)))

simplify8.2s

Counts

176 → 176

Iterations

Iter	Nodes
4	3431
3	1753
2	884
1	526
0	253

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	4
0	4

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.1s	2571×	body	10240	exit
904.0ms	1618×	body	640	valid
863.0ms	2180×	body	1280	valid
220.0ms	2992×	body	80	valid
157.0ms	810×	body	320	valid
48.0ms	402×	body	160	valid