Details

sample378.0ms

Algorithm

intervals

Results

121.0ms	59×	body	10240	exit
119.0ms	88×	body	2560	valid
75.0ms	101×	body	1280	valid
20.0ms	46×	body	640	valid
7.0ms	315×	pre	80	true
4.0ms	14×	body	320	valid
1.0ms	2×	body	160	valid
0.0ms	5×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	3569
4	699
3	245
2	101
1	40
0	17

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 62.7b

localize53.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
2.3b	(- (exp (* b eps)) 1.0)
4.2b	(- (exp (* a eps)) 1.0)
5.6b	(- (exp (* (+ a b) eps)) 1.0)

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`flip3--` `flip--`
6×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
5×	`sub-neg` `associate-r` `associate-l` `distribute-lft-out--` `difference-of-squares`
4×	`frac-times`
3×	`diff-log`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `associate-r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

56.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
14.0ms	(- (exp (* b eps)) 1.0)
9.0ms	(- (exp (* a eps)) 1.0)
17.0ms	(- (exp (* (+ a b) eps)) 1.0)

series220.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
47.0ms	(- (exp (* b eps)) 1.0)
38.0ms	(- (exp (* a eps)) 1.0)
71.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify1.2s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
2	1625
1	356
0	143

prune703.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 53.8b

localize92.0ms

Local error

Found 4 expressions with local error:

3.5b	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (+ (* 1/6 (* eps (* (* eps eps) (* (* a a) a)))) (+ (* eps a) (* (* (* eps eps) 1/2) (* a a)))) (- (exp (* b eps)) 1.0)))
5.6b	(- (exp (* (+ a b) eps)) 1.0)
12.6b	(* (* (* eps eps) 1/2) (* a a))
13.8b	(* (* eps eps) (* (* a a) a))

rewrite870.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-cbrt-cube` `add-exp-log`
46×	`pow1`
34×	`prod-exp` `cbrt-unprod`
30×	`pow-prod-down`
8×	`associate-/r/`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
5×	`flip3--` `flip--`
4×	`frac-times` `cbrt-undiv` `div-exp` `associate-*r/` `add-cube-cbrt`
3×	`flip3-+` `flip-+`
2×	`associate-r` `associate-l` `associate-l/` `-commutative` `associate-/l/`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `times-frac` `diff-log` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 101

Calls

4 calls:

673.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (+ (* 1/6 (* eps (* (* eps eps) (* (* a a) a)))) (+ (* eps a) (* (* (* eps eps) 1/2) (* a a)))) (- (exp (* b eps)) 1.0)))
21.0ms	(- (exp (* (+ a b) eps)) 1.0)
101.0ms	(* (* (* eps eps) 1/2) (* a a))
71.0ms	(* (* eps eps) (* (* a a) a))

series1.3s

Counts

4 → 12

Calls

4 calls:

1.1s	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (+ (* 1/6 (* eps (* (* eps eps) (* (* a a) a)))) (+ (* eps a) (* (* (* eps eps) 1/2) (* a a)))) (- (exp (* b eps)) 1.0)))
66.0ms	(- (exp (* (+ a b) eps)) 1.0)
43.0ms	(* (* (* eps eps) 1/2) (* a a))
59.0ms	(* (* eps eps) (* (* a a) a))

simplify2.1s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
1	821
0	244

prune799.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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-+`

Counts

1 → 19

Calls

1 calls:

27.0ms

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

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

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

simplify1.4s

Counts

22 → 22

Iterations

Iter	Nodes
done	5000
3	1500
2	381
1	102
0	40

prune116.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

13.1b

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

rewrite21.0ms

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-+` `div-inv` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

21.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify2.1s

Counts

28 → 28

Iterations

Iter	Nodes
done	5000
3	2182
2	512
1	145
0	55

prune148.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes211.0ms

Accuracy

0% (3.4b remaining)

Error of 3.5b against oracle of 0.1b and baseline of 3.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample15.0s

Algorithm

intervals

Results

5.0s	2650×	body	2560	valid
4.3s	3337×	body	1280	valid
3.3s	2013×	body	10240	exit
923.0ms	10016×	pre	80	true
674.0ms	1088×	body	640	valid
155.0ms	358×	body	320	valid
47.0ms	463×	body	80	valid
21.0ms	107×	body	160	valid