Details

sample101.0ms

Algorithm

intervals

Results

39.0ms	83×	body	1280	valid
26.0ms	73×	body	10240	exit
13.0ms	45×	body	640	valid
6.0ms	88×	body	80	valid
5.0ms	27×	body	320	valid
2.0ms	13×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	25
3	25
2	24
1	20
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.4b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1))
4.3b	(- (exp x) 1)

rewrite53.0ms

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:

38.0ms	(/ (exp x) (- (exp x) 1))
13.0ms	(- (exp x) 1)

series59.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (exp x) (- (exp x) 1))
23.0ms	(- (exp x) 1)

simplify1.3s

Counts

69 → 69

Iterations

Iter	Nodes
4	3305
3	1372
2	700
1	374
0	101

prune547.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

27.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
5.0ms	(* 1/12 x)

series51.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
24.0ms	(* 1/12 x)

simplify534.0ms

Counts

39 → 39

Iterations

Iter	Nodes
3	2101
2	633
1	255
0	60

prune285.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

41.0ms	(+ (* x 1/12) (+ (/ 1 x) 1/2))
9.0ms	(* x 1/12)

series40.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (* x 1/12) (+ (/ 1 x) 1/2))
16.0ms	(* x 1/12)

simplify718.0ms

Counts

39 → 39

Iterations

Iter	Nodes
3	2011
2	644
1	263
0	62

prune282.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (exp x) (log (exp (- (exp x) 1))))
4.3b	(- (exp x) 1)
4.3b	(log (exp (- (exp x) 1)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
40×	`log-pow`
35×	`exp-prod`
33×	`times-frac`
25×	`add-cube-cbrt`
12×	`difference-of-squares`
11×	`associate-/r*`
8×	`pow1`
6×	`difference-of-sqr-1` `distribute-lft-out--`
5×	`log-prod` `add-cbrt-cube` `add-log-exp`
4×	`add-exp-log`
3×	`insert-posit16` `associate-/l*`
2×	`sub-neg` `exp-sum`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `div-inv` `flip--`

Counts

3 → 100

Calls

3 calls:

33.0ms	(/ (exp x) (log (exp (- (exp x) 1))))
9.0ms	(- (exp x) 1)
17.0ms	(log (exp (- (exp x) 1)))

series63.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (exp x) (log (exp (- (exp x) 1))))
15.0ms	(- (exp x) 1)
22.0ms	(log (exp (- (exp x) 1)))

simplify1.2s

Counts

109 → 109

Iterations

Iter	Nodes
4	2603
3	1288
2	774
1	468
0	148

prune854.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.3b

regimes88.0ms

Accuracy

98.8% (0.3b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 21.0b

bsearch59.0ms

Steps

Iters	Range		Point
9	-0.015705103038678985	-4.564155152621576e-09	-0.0025466853162572313

simplify6.0ms

Iterations

Iter	Nodes
2	25
1	25
0	18

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.1s	2280×	body	1280	valid
1.1s	2477×	body	10240	exit
636.0ms	2797×	body	80	valid
541.0ms	1608×	body	640	valid
293.0ms	856×	body	320	valid
60.0ms	460×	body	160	valid