Details

sample73.0ms

Algorithm

intervals

Results

23.0ms	81×	body	10240	exit
23.0ms	76×	body	1280	valid
10.0ms	45×	body	640	valid
5.0ms	108×	body	80	valid
3.0ms	19×	body	320	valid
1.0ms	8×	body	160	valid

simplify13.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.4b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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-/r*`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 63

Calls

2 calls:

Slowest

13.0ms	(/ (exp x) (- (exp x) 1))
8.0ms	(- (exp x) 1)

series45.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

28.0ms	(/ (exp x) (- (exp x) 1))
16.0ms	(- (exp x) 1)

simplify1.3s

Counts: 69 → 69

prune481.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.3b	(* 1/12 x)
0.0b	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
0.0b	(+ (/ 1 x) 1/2)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
5×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`sum-log`
3×	`associate-r` `associate-l` `insert-posit16`
2×	`+-commutative` `flip3-+` `flip-+` `distribute-lft-out`
1×	`associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 47

Calls

3 calls:

Slowest

42.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
8.0ms	(* 1/12 x)
8.0ms	(+ (/ 1 x) 1/2)

series50.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

19.0ms	(* 1/12 x)
17.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
14.0ms	(+ (/ 1 x) 1/2)

simplify845.0ms

Counts: 56 → 56

prune359.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))
0.5b	(cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))
0.5b	(cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))
0.5b	(* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 91

Calls

4 calls:

Slowest

202.0ms	(* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))
22.0ms	(cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))
19.0ms	(cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))
16.0ms	(cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))

series375.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

119.0ms	(cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))
101.0ms	(cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))
99.0ms	(cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2)))
56.0ms	(* (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))) (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))

simplify1.1s

Counts: 103 → 103

prune753.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))
0.5b	(cbrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))
0.5b	(cbrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))
0.5b	(cbrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
16×	`cbrt-div`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`

Counts

4 → 68

Calls

4 calls:

Slowest

20.0ms	(cbrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))
18.0ms	(cbrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))
17.0ms	(cbrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))
17.0ms	(cbrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))

series278.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

81.0ms	(cbrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))
74.0ms	(cbrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))
69.0ms	(cbrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))
53.0ms	(cbrt (cbrt (+ (* 1/12 x) (+ (/ 1 x) 1/2))))

simplify844.0ms

Counts: 80 → 80

prune799.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes108.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 20.9b

bsearch47.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.1s	2258×	body	1280	valid
859.0ms	2585×	body	10240	exit
429.0ms	1674×	body	640	valid
176.0ms	2790×	body	80	valid
151.0ms	828×	body	320	valid
46.0ms	450×	body	160	valid