Details

sample75.0ms

Algorithm

intervals

Results

25.0ms	82×	body	1280	valid
16.0ms	78×	body	10240	exit
12.0ms	57×	body	640	valid
4.0ms	82×	body	80	valid
3.0ms	27×	body	320	valid
1.0ms	8×	body	160	valid

simplify2.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1.0))
3.0b	(- (exp x) 1.0)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 51

Calls

2 calls:

51.0ms	(/ (exp x) (- (exp x) 1.0))
18.0ms	(- (exp x) 1.0)

series58.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (exp x) (- (exp x) 1.0))
25.0ms	(- (exp x) 1.0)

simplify62.0ms

Counts: 57 → 57

prune185.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1/12 x) (/ 1 x))
0.3b	(* 1/12 x)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 29

Calls

2 calls:

22.0ms	(+ (* 1/12 x) (/ 1 x))
13.0ms	(* 1/12 x)

series95.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(+ (* 1/12 x) (/ 1 x))
23.0ms	(* 1/12 x)

simplify97.0ms

Counts: 35 → 35

prune95.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b	(/ 1.0 (exp x))
3.0b	(- 1 (/ 1.0 (exp x)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
43×	`times-frac`
24×	`add-cube-cbrt`
20×	`difference-of-squares`
11×	`associate-/r*`
8×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`distribute-lft-out--` `add-log-exp`
4×	`pow1`
3×	`div-exp`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--` `div-inv`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

3 → 97

Calls

3 calls:

63.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
11.0ms	(/ 1.0 (exp x))
27.0ms	(- 1 (/ 1.0 (exp x)))

series133.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
15.0ms	(/ 1.0 (exp x))
44.0ms	(- 1 (/ 1.0 (exp x)))

simplify54.0ms

Counts: 106 → 106

prune286.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (sqrt (exp x)) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))))
3.0b	(- (exp x) 1.0)
3.0b	(- (exp x) 1.0)
3.0b	(- (exp x) 1.0)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`cbrt-div`
10×	`add-log-exp`
9×	`add-exp-log` `flip3--` `flip--`
8×	`add-cube-cbrt` `associate-/r/`
7×	`add-cbrt-cube`
6×	`times-frac` `sqrt-prod` `associate-/l*`
4×	`pow1` `frac-times`
3×	`sub-neg` `diff-log` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 77

Calls

4 calls:

44.0ms	(/ (sqrt (exp x)) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))))
11.0ms	(- (exp x) 1.0)
18.0ms	(- (exp x) 1.0)
16.0ms	(- (exp x) 1.0)

series256.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(/ (sqrt (exp x)) (* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0))))
24.0ms	(- (exp x) 1.0)
17.0ms	(- (exp x) 1.0)
17.0ms	(- (exp x) 1.0)

simplify107.0ms

Counts: 89 → 89

prune367.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes87.0ms

Accuracy

96.5% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 21.3b

bsearch1.0ms

simplify2.0ms

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.0s	2605×	body	10240	exit
682.0ms	2264×	body	1280	valid
302.0ms	1678×	body	640	valid
92.0ms	2855×	body	80	valid
88.0ms	793×	body	320	valid
29.0ms	411×	body	160	valid