Details

sample53.0ms

Algorithm

intervals

Results

23.0ms	78×	body	1280	valid
11.0ms	54×	body	640	valid
8.0ms	183×	body	80	valid
2.0ms	18×	body	320	valid
1.0ms	11×	body	160	valid

simplify32.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.6b

localize17.0ms

Local error

Found 2 expressions with local error:

3.6b	(- (exp x) 1)
0.0b	(/ (- (exp x) 1) x)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
21×	`times-frac`
14×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`associate-/l*`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `flip3--` `insert-posit16` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

2 → 64

Calls

2 calls:

Slowest

28.0ms	(/ (- (exp x) 1) x)
17.0ms	(- (exp x) 1)

series73.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

56.0ms	(/ (- (exp x) 1) x)
17.0ms	(- (exp x) 1)

simplify1.2s

Counts: 70 → 70

prune492.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 1/6 x)
0.1b	(* x (+ 1/2 (* 1/6 x)))
0.0b	(+ 1/2 (* 1/6 x))
0.0b	(+ 1 (* x (+ 1/2 (* 1/6 x))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
6×	`associate-r` `associate-l`
4×	`insert-posit16`
3×	`flip3-+` `flip-+`
2×	`distribute-rgt-in` `+-commutative` `associate-+r+` `sum-log` `distribute-lft-in` `pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

Slowest

22.0ms	(* x (+ 1/2 (* 1/6 x)))
10.0ms	(* 1/6 x)
10.0ms	(+ 1 (* x (+ 1/2 (* 1/6 x))))
9.0ms	(+ 1/2 (* 1/6 x))

series185.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

85.0ms	(* x (+ 1/2 (* 1/6 x)))
60.0ms	(+ 1/2 (* 1/6 x))
24.0ms	(+ 1 (* x (+ 1/2 (* 1/6 x))))
16.0ms	(* 1/6 x)

simplify1.6s

Counts: 80 → 80

prune662.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

3.7b	(log (exp (* x (+ 1/2 (* 1/6 x)))))
0.3b	(* 1/6 x)
0.1b	(* x (+ 1/2 (* 1/6 x)))
0.0b	(+ 1/2 (* 1/6 x))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
9×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
8×	`add-cbrt-cube` `add-exp-log`
7×	`add-log-exp`
6×	`associate-r` `associate-l`
5×	`log-prod`
4×	`insert-posit16`
3×	`log-pow`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `exp-sum` `pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`+-commutative` `exp-prod` `sum-log` `exp-to-pow` `rem-log-exp`

Counts

4 → 71

Calls

4 calls:

Slowest

21.0ms	(* x (+ 1/2 (* 1/6 x)))
10.0ms	(* 1/6 x)
7.0ms	(log (exp (* x (+ 1/2 (* 1/6 x)))))
7.0ms	(+ 1/2 (* 1/6 x))

series259.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

98.0ms	(log (exp (* x (+ 1/2 (* 1/6 x)))))
88.0ms	(* x (+ 1/2 (* 1/6 x)))
44.0ms	(+ 1/2 (* 1/6 x))
29.0ms	(* 1/6 x)

simplify1.1s

Counts: 83 → 83

prune621.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

3.1b	(- (/ (exp x) x) (/ 1 x))
0.0b	(/ (exp x) x)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
23×	`times-frac`
12×	`add-cube-cbrt`
6×	`div-inv` `difference-of-squares`
5×	`distribute-lft-out--`
4×	`add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `distribute-rgt-out--` `add-exp-log` `associate-/l`
2×	`pow1` `insert-posit16`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `frac-sub` `flip--` `sub-div`

Counts

2 → 57

Calls

2 calls:

Slowest

33.0ms	(- (/ (exp x) x) (/ 1 x))
12.0ms	(/ (exp x) x)

series75.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

43.0ms	(- (/ (exp x) x) (/ 1 x))
32.0ms	(/ (exp x) x)

simplify1.4s

Counts: 63 → 63

prune422.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes33.0ms

Accuracy

98.5% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 21.4b

bsearch75.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	2213×	body	1280	valid
934.0ms	1689×	body	640	valid
354.0ms	5611×	body	80	valid
190.0ms	827×	body	320	valid
55.0ms	420×	body	160	valid