Details

sample80.0ms

Algorithm

intervals

Results

26.0ms	73×	body	1280	valid
21.0ms	77×	body	10240	exit
13.0ms	54×	body	640	valid
5.0ms	92×	body	80	valid
3.0ms	22×	body	320	valid
2.0ms	15×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	10
0	5

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp x) (- (exp x) 1))
4.8b	(- (exp x) 1)

rewrite28.0ms

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:

18.0ms	(/ (exp x) (- (exp x) 1))
8.0ms	(- (exp x) 1)

series62.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ (exp x) (- (exp x) 1))
21.0ms	(- (exp x) 1)

simplify1.2s

Counts

69 → 69

Iterations

Iter	Nodes
done	2018
4	2018
3	1632
2	502
1	203
0	101

prune567.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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:

38.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
10.0ms	(* 1/12 x)

series35.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify1.6s

Counts

39 → 39

Iterations

Iter	Nodes
done	2005
4	2005
3	1777
2	480
1	156
0	60

prune264.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (+ x x) x))
0.0b	(* (exp x) (exp x))
0.0b	(* (/ (exp x) (- (exp (+ (+ x x) x)) 1)) (+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1))))
4.8b	(- (exp (+ (+ x x) x)) 1)

rewrite990.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
32×	`exp-prod`
30×	`associate-l` `add-cube-cbrt`
22×	`times-frac`
13×	`pow1`
12×	`add-log-exp`
11×	`add-cbrt-cube`
8×	`add-exp-log` `distribute-lft-out` `difference-of-squares`
6×	`associate-r`
5×	`distribute-lft1-in` `pow-prod-down`
4×	`distribute-rgt-out` `difference-of-sqr-1` `pow-sqr` `pow-prod-up` `insert-posit16` `distribute-lft-out--`
3×	`sum-log` `swap-sqr` `prod-exp` `cbrt-unprod` `unswap-sqr` `rem-exp-log`
2×	`frac-times` `flip3-+` `flip3--` `count-2` `distribute-rgt1-in` `associate-r/` `associate-/r/` `-commutative` `flip-+` `flip--`
1×	`pow2` `distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `pow-plus` `diff-log` `div-exp` `exp-sum` `associate-*l/` `div-inv`

Counts

4 → 131

Calls

4 calls:

79.0ms	(exp (+ (+ x x) x))
26.0ms	(* (exp x) (exp x))
667.0ms	(* (/ (exp x) (- (exp (+ (+ x x) x)) 1)) (+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1))))
216.0ms	(- (exp (+ (+ x x) x)) 1)

series187.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(exp (+ (+ x x) x))
24.0ms	(* (exp x) (exp x))
123.0ms	(* (/ (exp x) (- (exp (+ (+ x x) x)) 1)) (+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1))))
22.0ms	(- (exp (+ (+ x x) x)) 1)

simplify1.3s

Counts

143 → 143

Iterations

Iter	Nodes
done	2011
2	2011
1	698
0	202

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp (+ (+ x x) x)) 1))
4.8b	(- (exp (+ (+ x x) x)) 1)
4.8b	(- (exp (+ (+ x x) x)) 1)
4.8b	(- (exp (+ (+ x x) x)) 1)

rewrite682.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
10×	`add-log-exp`
8×	`difference-of-squares`
7×	`cbrt-prod`
5×	`add-cube-cbrt`
4×	`pow1` `flip3--` `add-cbrt-cube` `difference-of-sqr-1` `add-exp-log` `insert-posit16` `flip--` `distribute-lft-out--`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 69

Calls

4 calls:

95.0ms	(cbrt (- (exp (+ (+ x x) x)) 1))
212.0ms	(- (exp (+ (+ x x) x)) 1)
184.0ms	(- (exp (+ (+ x x) x)) 1)
189.0ms	(- (exp (+ (+ x x) x)) 1)

series198.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(cbrt (- (exp (+ (+ x x) x)) 1))
23.0ms	(- (exp (+ (+ x x) x)) 1)
37.0ms	(- (exp (+ (+ x x) x)) 1)
34.0ms	(- (exp (+ (+ x x) x)) 1)

simplify1.7s

Counts

81 → 81

Iterations

Iter	Nodes
done	2002
4	2002
3	1123
2	379
1	168
0	79

prune988.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes95.0ms

Accuracy

98.5% (0.3b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 21.5b

bsearch1.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	45
1	45
0	31

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.4s	2563×	body	10240	exit
1.1s	2262×	body	1280	valid
512.0ms	1611×	body	640	valid
231.0ms	2872×	body	80	valid
168.0ms	858×	body	320	valid
48.0ms	399×	body	160	valid