Details

sample108.0ms

Algorithm

intervals

Results

33.0ms	84×	body	10240	exit
30.0ms	65×	body	1280	valid
20.0ms	62×	body	640	valid
6.0ms	96×	body	80	valid
4.0ms	15×	body	320	valid
3.0ms	18×	body	160	valid

simplify15.0ms

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:

3.9b	(- (exp x) 1)
0.3b	(/ (exp x) (- (exp x) 1))

rewrite50.0ms

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

26.0ms	(- (exp x) 1)
22.0ms	(/ (exp x) (- (exp x) 1))

series57.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

33.0ms	(/ (exp x) (- (exp x) 1))
24.0ms	(- (exp x) 1)

simplify1.3s

Counts: 69 → 69

prune537.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.4b	(* 1/6 x)
0.1b	(* (+ 1/2 (* 1/6 x)) (* x x))
0.0b	(/ (exp x) (+ (* (+ 1/2 (* 1/6 x)) (* x x)) x))
0.0b	(+ (* (+ 1/2 (* 1/6 x)) (* x x)) x)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log`
11×	`pow1`
9×	`times-frac`
6×	`associate-l` `add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`associate-/r` `flip3-+` `flip-+` `associate-/l`
2×	`associate-l/` `associate-/r/` `-commutative` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 83

Calls

4 calls:

Slowest

32.0ms	(* (+ 1/2 (* 1/6 x)) (* x x))
28.0ms	(+ (* (+ 1/2 (* 1/6 x)) (* x x)) x)
26.0ms	(/ (exp x) (+ (* (+ 1/2 (* 1/6 x)) (* x x)) x))
5.0ms	(* 1/6 x)

series203.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

86.0ms	(* (+ 1/2 (* 1/6 x)) (* x x))
56.0ms	(/ (exp x) (+ (* (+ 1/2 (* 1/6 x)) (* x x)) x))
40.0ms	(+ (* (+ 1/2 (* 1/6 x)) (* x x)) x)
21.0ms	(* 1/6 x)

simplify1.7s

Counts: 95 → 95

prune836.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.4b	(* 1/12 x)
0.0b	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
0.0b	(+ (/ 1 x) 1/2)

rewrite41.0ms

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

25.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
8.0ms	(+ (/ 1 x) 1/2)
7.0ms	(* 1/12 x)

series67.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

28.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
22.0ms	(* 1/12 x)
18.0ms	(+ (/ 1 x) 1/2)

simplify779.0ms

Counts: 56 → 56

prune365.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(* (cbrt x) (cbrt x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

Slowest

7.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.5s

Counts

4 → 12

Calls

4 calls:

Slowest

629.0ms	(* (cbrt x) (cbrt x))
307.0ms	(cbrt x)
286.0ms	(cbrt x)
233.0ms	(cbrt x)

simplify1.4s

Counts: 89 → 89

prune922.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

regimes138.0ms

Accuracy

0% (0.7b remaining)

Error of 1.1b against oracle of 0.4b and baseline of 1.1b

bsearch3.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.6s	2552×	body	10240	exit
1.2s	2317×	body	1280	valid
508.0ms	1643×	body	640	valid
275.0ms	2793×	body	80	valid
171.0ms	814×	body	320	valid
59.0ms	436×	body	160	valid