Details

sample48.0ms

Algorithm

intervals

Results

17.0ms	64×	body	1280	valid
12.0ms	64×	body	640	valid
7.0ms	180×	body	80	valid
2.0ms	15×	body	320	valid
2.0ms	18×	body	160	valid

simplify16.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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

31.0ms	(/ (- (exp x) 1) x)
8.0ms	(- (exp x) 1)

series62.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

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

simplify1.4s

Counts: 70 → 70

prune650.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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

19.0ms	(* x (+ 1/2 (* 1/6 x)))
10.0ms	(* 1/6 x)

series154.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

125.0ms	(* x (+ 1/2 (* 1/6 x)))
29.0ms	(* 1/6 x)

simplify780.0ms

Counts: 48 → 48

prune410.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

4.0b	(- (* (* (exp x) (exp x)) (exp x)) 1)
0.0b	(/ (/ (- (* (* (exp x) (exp x)) (exp x)) 1) (+ (+ 1 (exp x)) (* (exp x) (exp x)))) x)
0.0b	(* (exp x) (exp x))
0.0b	(* (exp x) (exp x))

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
72×	`add-sqr-sqrt`
68×	`*-un-lft-identity` `add-cube-cbrt`
36×	`exp-prod`
18×	`pow1`
15×	`associate-/l*`
13×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`pow-prod-down` `associate-/r/` `pow-sqr` `pow-prod-up`
6×	`swap-sqr` `associate-r` `associate-l` `add-log-exp`
5×	`div-inv`
4×	`flip3-+` `flip-+` `insert-posit16`
3×	`cbrt-undiv` `associate-/r*` `div-exp`
2×	`pow2` `pow-plus` `div-sub` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `flip--` `associate-/l/`

Counts

4 → 163

Calls

4 calls:

Slowest

197.0ms	(/ (/ (- (* (* (exp x) (exp x)) (exp x)) 1) (+ (+ 1 (exp x)) (* (exp x) (exp x)))) x)
61.0ms	(- (* (* (exp x) (exp x)) (exp x)) 1)
23.0ms	(* (exp x) (exp x))
14.0ms	(* (exp x) (exp x))

series280.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

190.0ms	(/ (/ (- (* (* (exp x) (exp x)) (exp x)) 1) (+ (+ 1 (exp x)) (* (exp x) (exp x)))) x)
49.0ms	(- (* (* (exp x) (exp x)) (exp x)) 1)
25.0ms	(* (exp x) (exp x))
15.0ms	(* (exp x) (exp x))

simplify1.1s

Counts: 175 → 175

prune1.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

3.1b	(- (/ (/ (* (* (exp x) (exp x)) (exp x)) (+ (+ 1 (exp x)) (* (exp x) (exp x)))) x) (/ (/ 1 (+ (+ 1 (exp x)) (* (exp x) (exp x)))) x))
0.2b	(/ (/ (* (* (exp x) (exp x)) (exp x)) (+ (+ 1 (exp x)) (* (exp x) (exp x)))) x)
0.2b	(/ (/ 1 (+ (+ 1 (exp x)) (* (exp x) (exp x)))) x)
0.0b	(* (exp x) (exp x))

rewrite586.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
120×	`add-sqr-sqrt`
114×	`*-un-lft-identity`
90×	`add-cube-cbrt`
28×	`associate-/r/` `div-inv`
25×	`add-cbrt-cube`
24×	`associate-/l*`
23×	`add-exp-log`
18×	`exp-prod`
17×	`distribute-rgt-out--`
14×	`flip3-+` `flip-+`
13×	`div-exp`
11×	`pow1`
10×	`cbrt-undiv`
8×	`difference-of-squares`
7×	`distribute-lft-out--`
6×	`associate-/r*` `add-log-exp`
4×	`pow-prod-down` `prod-exp` `pow-sqr` `pow-prod-up` `cbrt-unprod` `insert-posit16`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`pow2` `rec-exp` `sub-neg` `pow-plus` `flip3--` `diff-log` `1-exp` `*-commutative` `frac-sub` `flip--` `sub-div` `unswap-sqr`

Counts

4 → 222

Calls

4 calls:

Slowest

342.0ms	(- (/ (/ (* (* (exp x) (exp x)) (exp x)) (+ (+ 1 (exp x)) (* (exp x) (exp x)))) x) (/ (/ 1 (+ (+ 1 (exp x)) (* (exp x) (exp x)))) x))
115.0ms	(/ (/ (* (* (exp x) (exp x)) (exp x)) (+ (+ 1 (exp x)) (* (exp x) (exp x)))) x)
100.0ms	(/ (/ 1 (+ (+ 1 (exp x)) (* (exp x) (exp x)))) x)
25.0ms	(* (exp x) (exp x))

series480.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

248.0ms	(- (/ (/ (* (* (exp x) (exp x)) (exp x)) (+ (+ 1 (exp x)) (* (exp x) (exp x)))) x) (/ (/ 1 (+ (+ 1 (exp x)) (* (exp x) (exp x)))) x))
144.0ms	(/ (/ (* (* (exp x) (exp x)) (exp x)) (+ (+ 1 (exp x)) (* (exp x) (exp x)))) x)
63.0ms	(/ (/ 1 (+ (+ 1 (exp x)) (* (exp x) (exp x)))) x)
25.0ms	(* (exp x) (exp x))

simplify1.7s

Counts: 234 → 234

prune2.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes40.0ms

Accuracy

98.5% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 20.6b

bsearch55.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	2328×	body	1280	valid
593.0ms	1660×	body	640	valid
319.0ms	5376×	body	80	valid
197.0ms	821×	body	320	valid
57.0ms	437×	body	160	valid