Details

sample362.0ms

Algorithm

intervals

Results

118.0ms	111×	body	1280	valid
103.0ms	75×	body	2560	valid
90.0ms	75×	body	10240	exit
15.0ms	35×	body	640	valid
7.0ms	331×	pre	80	true
3.0ms	11×	body	320	valid
2.0ms	20×	body	80	valid
1.0ms	4×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
3.2b	(- (exp (* b eps)) 1.0)
4.7b	(- (exp (* a eps)) 1.0)
7.2b	(- (exp (* (+ a b) eps)) 1.0)

rewrite126.0ms

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:

81.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
13.0ms	(- (exp (* b eps)) 1.0)
13.0ms	(- (exp (* a eps)) 1.0)
16.0ms	(- (exp (* (+ a b) eps)) 1.0)

series236.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
48.0ms	(- (exp (* b eps)) 1.0)
43.0ms	(- (exp (* a eps)) 1.0)
71.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify1.3s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
2	1625
1	356
0	143

prune623.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 49.5b

localize106.0ms

Local error

Found 4 expressions with local error:

3.8b	(/ (* 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)))
7.2b	(- (exp (* (+ a b) eps)) 1.0)
17.7b	(* (* (* eps eps) 1/2) (* a a))
18.1b	(* (* eps eps) (* (* a a) a))

rewrite727.0ms

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:

578.0ms	(/ (* 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)))
11.0ms	(- (exp (* (+ a b) eps)) 1.0)
58.0ms	(* (* (* eps eps) 1/2) (* a a))
76.0ms	(* (* eps eps) (* (* a a) a))

series1.4s

Counts

4 → 12

Calls

4 calls:

1.2s	(/ (* 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)))
65.0ms	(- (exp (* (+ a b) eps)) 1.0)
68.0ms	(* (* (* eps eps) 1/2) (* a a))
59.0ms	(* (* eps eps) (* (* a a) a))

simplify2.2s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
1	821
0	244

prune887.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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:

24.0ms

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

series13.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

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

simplify1.8s

Counts

22 → 22

Iterations

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

prune140.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 1 expressions with local error:

14.9b

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

rewrite30.0ms

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:

29.0ms

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

series73.0ms

Counts

1 → 3

Calls

1 calls:

73.0ms

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

simplify2.2s

Counts

28 → 28

Iterations

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

prune132.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

regimes261.0ms

Accuracy

0% (3.5b remaining)

Error of 3.6b against oracle of 0.1b and baseline of 3.6b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample14.7s

Algorithm

intervals

Results

5.0s	2622×	body	2560	valid
4.2s	3375×	body	1280	valid
3.7s	1934×	body	10240	exit
907.0ms	1048×	body	640	valid
236.0ms	9935×	pre	80	true
121.0ms	356×	body	320	valid
95.0ms	479×	body	80	valid
26.0ms	121×	body	160	valid