Details

sample399.0ms

Algorithm

intervals

Results

136.0ms	122×	body	1280	valid
112.0ms	70×	body	2560	valid
97.0ms	51×	body	10240	exit
14.0ms	26×	body	640	valid
11.0ms	307×	pre	80	true
6.0ms	12×	body	320	valid
3.0ms	23×	body	80	valid
1.0ms	3×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
5	4110
4	689
3	215
2	98
1	43
0	17

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 56.3b

localize69.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
1.8b	(- (exp (* b eps)) 1)
2.0b	(- (exp (* a eps)) 1)
3.2b	(- (exp (* (+ a b) eps)) 1)

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
13×	`*-un-lft-identity`
10×	`flip3--` `flip--` `add-log-exp`
8×	`associate-/r/`
6×	`difference-of-squares`
4×	`frac-times` `pow1` `cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `add-cube-cbrt` `cbrt-unprod` `insert-posit16`
3×	`sub-neg` `diff-log` `difference-of-sqr-1` `distribute-lft-out--`
2×	`associate-*l/` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `div-inv` `associate-/l`

Counts

4 → 83

Calls

4 calls:

47.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
19.0ms	(- (exp (* b eps)) 1)
28.0ms	(- (exp (* a eps)) 1)
24.0ms	(- (exp (* (+ a b) eps)) 1)

series406.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
57.0ms	(- (exp (* b eps)) 1)
52.0ms	(- (exp (* a eps)) 1)
49.0ms	(- (exp (* (+ a b) eps)) 1)

simplify8.4s

Counts

95 → 95

Iterations

Iter	Nodes
3	14376
2	1953
1	490
0	182

prune1.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (/ 1 a) (/ 1 b))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
7×	`distribute-lft-out`
6×	`times-frac`
4×	`div-inv`
3×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
1×	`pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `frac-add` `add-exp-log` `flip-+` `insert-posit16`

Counts

1 → 20

Calls

1 calls:

25.0ms

(+ (/ 1 a) (/ 1 b))

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(+ (/ 1 a) (/ 1 b))

simplify1.6s

Counts

23 → 23

Iterations

Iter	Nodes
5	2804
4	1255
3	582
2	281
1	103
0	41

prune218.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

14.4b

(/ (+ b a) (* a b))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`add-cbrt-cube` `add-exp-log`
4×	`times-frac` `associate-/l*`
3×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `distribute-lft-out` `associate-/l/`
1×	`pow1` `clear-num` `associate-/r*` `frac-2neg` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 26

Calls

1 calls:

20.0ms

(/ (+ b a) (* a b))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(/ (+ b a) (* a b))

simplify4.4s

Counts

29 → 29

Iterations

Iter	Nodes
4	6394
3	1955
2	537
1	149
0	57

prune263.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ b a))
0.1b	(/ (sqrt (+ b a)) b)
0.2b	(/ (sqrt (+ b a)) a)
3.8b	(* (/ (sqrt (+ b a)) a) (/ (sqrt (+ b a)) b))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

96×	`add-sqr-sqrt` `times-frac`
95×	`*-un-lft-identity`
66×	`sqrt-prod`
65×	`add-cube-cbrt`
25×	`associate-r` `associate-l`
20×	`add-cbrt-cube` `add-exp-log`
15×	`distribute-lft-out`
14×	`associate-/l*`
9×	`unswap-sqr`
7×	`pow1`
6×	`cbrt-undiv` `associate-/r*` `sqrt-div` `div-exp`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp` `associate-/l/`
3×	`flip3-+` `flip-+`
2×	`clear-num` `frac-2neg`
1×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 189

Calls

4 calls:

9.0ms	(sqrt (+ b a))
22.0ms	(/ (sqrt (+ b a)) b)
10.0ms	(/ (sqrt (+ b a)) a)
42.0ms	(* (/ (sqrt (+ b a)) a) (/ (sqrt (+ b a)) b))

series318.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(sqrt (+ b a))
86.0ms	(/ (sqrt (+ b a)) b)
90.0ms	(/ (sqrt (+ b a)) a)
87.0ms	(* (/ (sqrt (+ b a)) a) (/ (sqrt (+ b a)) b))

simplify1.1s

Counts

201 → 201

Iterations

Iter	Nodes
2	2198
1	656
0	247

prune1.8s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes141.0ms

Accuracy

0% (3.4b remaining)

Error of 3.4b against oracle of 0.1b and baseline of 3.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	9
1	9
0	6

end0.0ms

sample20.4s

Algorithm

intervals

Results

7.0s	2614×	body	2560	valid
5.4s	3394×	body	1280	valid
5.3s	1957×	body	10240	exit
1.2s	1054×	body	640	valid
633.0ms	9959×	pre	80	true
232.0ms	351×	body	320	valid
193.0ms	460×	body	80	valid
53.0ms	129×	body	160	valid