Details

sample113.0ms

Algorithm

intervals

Results

35.0ms	72×	body	1280	valid
34.0ms	82×	body	10240	exit
17.0ms	48×	body	640	valid
7.0ms	98×	body	80	valid
5.0ms	20×	body	320	valid
3.0ms	18×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	9
2	9
1	8
0	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (exp x) (- (exp x) 1))
4.6b	(- (exp x) 1)

rewrite52.0ms

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:

34.0ms	(/ (exp x) (- (exp x) 1))
17.0ms	(- (exp x) 1)

series58.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify2.7s

Counts

69 → 69

Iterations

Iter	Nodes
4	3966
3	1266
2	468
1	196
0	101

prune297.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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:

40.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
6.0ms	(* 1/12 x)

series53.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
34.0ms	(* 1/12 x)

simplify12.1s

Counts

39 → 39

Iterations

Iter	Nodes
4	10077
3	1691
2	442
1	151
0	60

prune127.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

20.0ms	(+ (* 1/12 x) (/ 1 x))
8.0ms	(* 1/12 x)

series91.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(+ (* 1/12 x) (/ 1 x))
27.0ms	(* 1/12 x)

simplify3.5s

Counts

37 → 37

Iterations

Iter	Nodes
4	3170
3	1205
2	347
1	132
0	53

prune128.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (exp x) (log (exp (- (exp x) 1))))
4.6b	(log (exp (- (exp x) 1)))
4.6b	(- (exp x) 1)

rewrite65.0ms

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:

28.0ms	(/ (exp x) (log (exp (- (exp x) 1))))
23.0ms	(log (exp (- (exp x) 1)))
11.0ms	(- (exp x) 1)

series100.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (exp x) (log (exp (- (exp x) 1))))
27.0ms	(log (exp (- (exp x) 1)))
27.0ms	(- (exp x) 1)

simplify4.7s

Counts

109 → 109

Iterations

Iter	Nodes
4	3487
3	1288
2	554
1	254
0	148

prune316.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes58.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 21.9b

bsearch1.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	22
1	22
0	19

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.0s	2542×	body	10240	exit
948.0ms	2147×	body	1280	valid
592.0ms	1686×	body	640	valid
588.0ms	807×	body	320	valid
164.0ms	2918×	body	80	valid
56.0ms	443×	body	160	valid