Details

sample383.0ms

Algorithm

intervals

Results

146.0ms	86×	body	2560	valid
97.0ms	67×	body	10240	exit
78.0ms	98×	body	1280	valid
23.0ms	46×	body	640	valid
10.0ms	323×	pre	80	true
7.0ms	13×	body	320	valid
1.0ms	11×	body	80	valid
0.0ms	2×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	4181
4	694
3	215
2	98
1	43
0	17

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.4b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
3.2b	(- (exp (* a eps)) 1)
3.6b	(- (exp (* b eps)) 1)
5.7b	(- (exp (* (+ a b) eps)) 1)

rewrite89.0ms

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:

49.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
14.0ms	(- (exp (* a eps)) 1)
11.0ms	(- (exp (* b eps)) 1)
13.0ms	(- (exp (* (+ a b) eps)) 1)

series384.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
50.0ms	(- (exp (* a eps)) 1)
45.0ms	(- (exp (* b eps)) 1)
57.0ms	(- (exp (* (+ a b) eps)) 1)

simplify1.8s

Counts

95 → 95

Iterations

Iter	Nodes
done	5061
2	2358
1	510
0	182

prune494.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:

11.0ms

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

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

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

simplify3.4s

Counts

23 → 23

Iterations

Iter	Nodes
done	5000
5	3361
4	1333
3	593
2	278
1	105
0	41

prune81.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

16.4b

(/ (+ a b) (* 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:

19.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify4.1s

Counts

29 → 29

Iterations

Iter	Nodes
done	5004
4	4978
3	1536
2	468
1	146
0	56

prune140.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (* eps b)) (exp (* eps a)))
0.5b	(- (exp (* (+ b a) eps)) (+ (exp (* eps b)) (exp (* eps a))))
3.4b	(+ 1 (- (exp (* (+ b a) eps)) (+ (exp (* eps b)) (exp (* eps a)))))
5.7b	(+ -1 (exp (* (+ b a) eps)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity` `add-log-exp`
7×	`sum-log` `distribute-lft-out`
6×	`add-sqr-sqrt`
4×	`pow1` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `distribute-lft-out--`
3×	`+-commutative` `flip3-+` `flip-+`
2×	`associate-+r+` `sub-neg`
1×	`associate-+r-` `flip3--` `flip--` `associate--r+` `difference-of-squares`

Counts

4 → 64

Calls

4 calls:

11.0ms	(+ (exp (* eps b)) (exp (* eps a)))
33.0ms	(- (exp (* (+ b a) eps)) (+ (exp (* eps b)) (exp (* eps a))))
96.0ms	(+ 1 (- (exp (* (+ b a) eps)) (+ (exp (* eps b)) (exp (* eps a)))))
6.0ms	(+ -1 (exp (* (+ b a) eps)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (exp (* eps b)) (exp (* eps a)))
67.0ms	(- (exp (* (+ b a) eps)) (+ (exp (* eps b)) (exp (* eps a))))
73.0ms	(+ 1 (- (exp (* (+ b a) eps)) (+ (exp (* eps b)) (exp (* eps a)))))
59.0ms	(+ -1 (exp (* (+ b a) eps)))

simplify3.3s

Counts

76 → 76

Iterations

Iter	Nodes
done	5015
3	4756
2	1186
1	340
0	125

prune479.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (3.2b remaining)

Error of 3.3b against oracle of 0.1b and baseline of 3.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample19.0s

Algorithm

intervals

Results

6.4s	2606×	body	2560	valid
5.5s	3433×	body	1280	valid
4.3s	1941×	body	10240	exit
1.0s	999×	body	640	valid
617.0ms	9942×	pre	80	true
525.0ms	447×	body	80	valid
271.0ms	396×	body	320	valid
43.0ms	120×	body	160	valid