Details

sample350.0ms

Algorithm

intervals

Results

119.0ms	88×	body	2560	valid
98.0ms	59×	body	10240	exit
77.0ms	101×	body	1280	valid
18.0ms	46×	body	640	valid
7.0ms	315×	pre	80	true
4.0ms	14×	body	320	valid
0.0ms	5×	body	80	valid
0.0ms	2×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.7b

localize59.0ms

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)

rewrite122.0ms

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:

63.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
16.0ms	(- (exp (* b eps)) 1.0)
14.0ms	(- (exp (* a eps)) 1.0)
27.0ms	(- (exp (* (+ a b) eps)) 1.0)

series189.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0))
34.0ms	(- (exp (* b eps)) 1.0)
41.0ms	(- (exp (* a eps)) 1.0)
54.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify665.0ms

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
2	1625
1	356
0	143

prune731.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 53.8b

localize117.0ms

Local error

Found 4 expressions with local error:

3.5b	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (+ (+ (* (* (* eps eps) 1/2) (* a a)) (* eps a)) (* (* (pow a 3) 1/6) (pow eps 3))) (- (exp (* b eps)) 1.0)))
5.6b	(- (exp (* (+ a b) eps)) 1.0)
12.6b	(* (* (* eps eps) 1/2) (* a a))
15.2b	(* (* (pow a 3) 1/6) (pow eps 3))

rewrite433.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-exp-log`
42×	`add-cbrt-cube`
40×	`prod-exp`
25×	`pow1`
22×	`cbrt-unprod`
15×	`pow-prod-down`
13×	`associate-r`
9×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-/r/`
7×	`pow-to-exp` `pow-exp` `add-cube-cbrt`
6×	`add-log-exp`
5×	`flip3--` `flip--`
4×	`frac-times` `cbrt-undiv` `div-exp` `associate-*r/`
3×	`unpow-prod-down` `flip3-+` `cube-prod` `flip-+`
2×	`associate-l` `associate-l/` `-commutative` `associate-/l/`
1×	`cube-mult` `clear-num` `associate-/r` `sub-neg` `frac-2neg` `times-frac` `diff-log` `unpow3` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 108

Calls

4 calls:

320.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (+ (+ (* (* (* eps eps) 1/2) (* a a)) (* eps a)) (* (* (pow a 3) 1/6) (pow eps 3))) (- (exp (* b eps)) 1.0)))
13.0ms	(- (exp (* (+ a b) eps)) 1.0)
69.0ms	(* (* (* eps eps) 1/2) (* a a))
28.0ms	(* (* (pow a 3) 1/6) (pow eps 3))

series1.3s

Counts

4 → 12

Calls

4 calls:

1.1s	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (+ (+ (* (* (* eps eps) 1/2) (* a a)) (* eps a)) (* (* (pow a 3) 1/6) (pow eps 3))) (- (exp (* b eps)) 1.0)))
80.0ms	(- (exp (* (+ a b) eps)) 1.0)
52.0ms	(* (* (* eps eps) 1/2) (* a a))
87.0ms	(* (* (pow a 3) 1/6) (pow eps 3))

simplify445.0ms

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
1	907
0	272

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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:

23.0ms

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

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

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

simplify1.1s

Counts

22 → 22

Iterations

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

prune122.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

13.1b

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

rewrite37.0ms

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:

36.0ms

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

series71.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

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

simplify2.3s

Counts

28 → 28

Iterations

Iter	Nodes
done	5002
3	2899
2	605
1	148
0	56

prune101.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes197.0ms

Accuracy

0% (3.3b 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

sample14.9s

Algorithm

intervals

Results

5.0s	2650×	body	2560	valid
3.7s	3337×	body	1280	valid
3.3s	2013×	body	10240	exit
1.1s	1088×	body	640	valid
634.0ms	10016×	pre	80	true
555.0ms	358×	body	320	valid
47.0ms	463×	body	80	valid
23.0ms	107×	body	160	valid