Details

sample69.0ms

Algorithm

intervals

Results

34.0ms	91×	body	1280	valid
12.0ms	48×	body	640	valid
9.0ms	174×	body	80	valid
4.0ms	23×	body	320	valid
1.0ms	10×	body	160	valid

simplify32.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.6b

localize8.0ms

Local error

Found 2 expressions with local error:

3.2b	(- (exp x) 1)
0.0b	(/ (- (exp x) 1) x)

rewrite29.0ms

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

20.0ms	(/ (- (exp x) 1) x)
8.0ms	(- (exp x) 1)

series58.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

42.0ms	(/ (- (exp x) 1) x)
16.0ms	(- (exp x) 1)

simplify897.0ms

Counts: 70 → 70

prune435.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.4b	(* 1/6 x)
0.1b	(* x (+ (* 1/6 x) 1/2))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

Slowest

18.0ms	(* x (+ (* 1/6 x) 1/2))
5.0ms	(* 1/6 x)

series125.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

103.0ms	(* x (+ (* 1/6 x) 1/2))
22.0ms	(* 1/6 x)

simplify892.0ms

Counts: 48 → 48

prune261.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

3.2b	(- (exp x) 1)
0.0b	(* (- (exp x) 1) (/ 1 x))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
13×	`associate-r`
11×	`times-frac` `add-exp-log`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube` `associate-l`
4×	`pow1` `prod-exp` `add-log-exp` `difference-of-squares`
3×	`flip3--` `flip--` `unswap-sqr`
2×	`frac-times` `difference-of-sqr-1` `div-exp` `associate-*l/` `cbrt-unprod` `insert-posit16` `distribute-lft-out--`
1×	`cbrt-undiv` `rec-exp` `sub-neg` `diff-log` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

2 → 62

Calls

2 calls:

Slowest

31.0ms	(* (- (exp x) 1) (/ 1 x))
19.0ms	(- (exp x) 1)

series81.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

65.0ms	(* (- (exp x) 1) (/ 1 x))
16.0ms	(- (exp x) 1)

simplify879.0ms

Counts: 68 → 68

prune397.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes18.0ms

Accuracy

98.6% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.2b

bsearch57.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s	2285×	body	1280	valid
605.0ms	1637×	body	640	valid
349.0ms	5598×	body	80	valid
190.0ms	819×	body	320	valid
52.0ms	414×	body	160	valid