Details

sample416.0ms

Algorithm

intervals

Results

153.0ms	69×	body	10240	exit
124.0ms	88×	body	2560	valid
88.0ms	110×	body	1280	valid
15.0ms	32×	body	640	valid
10.0ms	325×	pre	80	true
4.0ms	12×	body	320	valid
1.0ms	11×	body	80	valid
1.0ms	3×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

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

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.5b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))
2.5b	(- (exp (* b eps)) 1)
2.9b	(- (exp (* a eps)) 1)
4.1b	(- (exp (* (+ a b) eps)) 1)

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
10×	`add-log-exp` `difference-of-squares`
9×	`flip3--` `flip--`
7×	`associate-r` `associate-l`
6×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
5×	`sub-neg` `difference-of-sqr-1` `distribute-lft-out--`
4×	`frac-times` `insert-posit16`
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 → 90

Calls

4 calls:

145.0ms	(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))
18.0ms	(- (exp (* b eps)) 1)
17.0ms	(- (exp (* a eps)) 1)
14.0ms	(- (exp (* (+ a b) eps)) 1)

series209.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))
34.0ms	(- (exp (* b eps)) 1)
54.0ms	(- (exp (* a eps)) 1)
52.0ms	(- (exp (* (+ a b) eps)) 1)

simplify3.1s

Counts

102 → 102

Iterations

Iter	Nodes
done	5001
3	4539
2	1348
1	395
0	154

prune779.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 47.4b

localize92.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (- (exp (* a eps)) 1) (+ (+ (* b (* (* eps 1/6) (* (* eps b) (* eps b)))) (* eps b)) (* (* 1/2 (* eps b)) (* eps b))))
3.2b	(* b (* (* eps 1/6) (* (* eps b) (* eps b))))
3.2b	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (+ (+ (* b (* (* eps 1/6) (* (* eps b) (* eps b)))) (* eps b)) (* (* 1/2 (* eps b)) (* eps b)))))
4.1b	(- (exp (* (+ a b) eps)) 1)

rewrite6.5s

Algorithm

rewrite-expression-head

Rules

71×	`add-cbrt-cube` `add-exp-log`
59×	`pow1`
47×	`prod-exp` `cbrt-unprod`
43×	`pow-prod-down`
17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
10×	`associate-l`
8×	`frac-times` `flip3--` `associate-/r/` `flip--`
7×	`add-cube-cbrt`
6×	`flip3-+` `associate-*r/` `flip-+` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-r` `associate-*l/` `insert-posit16` `difference-of-squares`
2×	`difference-of-sqr-1` `*-commutative` `distribute-lft-out--` `associate-/l/`
1×	`distribute-rgt-in` `clear-num` `associate-/r` `sub-neg` `frac-2neg` `distribute-lft-in` `times-frac` `diff-log` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

4.9s	(* (- (exp (* a eps)) 1) (+ (+ (* b (* (* eps 1/6) (* (* eps b) (* eps b)))) (* eps b)) (* (* 1/2 (* eps b)) (* eps b))))
348.0ms	(* b (* (* eps 1/6) (* (* eps b) (* eps b))))
1.2s	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (+ (+ (* b (* (* eps 1/6) (* (* eps b) (* eps b)))) (* eps b)) (* (* 1/2 (* eps b)) (* eps b)))))
28.0ms	(- (exp (* (+ a b) eps)) 1)

series2.6s

Counts

4 → 12

Calls

4 calls:

288.0ms	(* (- (exp (* a eps)) 1) (+ (+ (* b (* (* eps 1/6) (* (* eps b) (* eps b)))) (* eps b)) (* (* 1/2 (* eps b)) (* eps b))))
97.0ms	(* b (* (* eps 1/6) (* (* eps b) (* eps b))))
2.1s	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (+ (+ (* b (* (* eps 1/6) (* (* eps b) (* eps b)))) (* eps b)) (* (* 1/2 (* eps b)) (* eps b)))))
78.0ms	(- (exp (* (+ a b) eps)) 1)

simplify2.0s

Counts

140 → 140

Iterations

Iter	Nodes
done	5001
1	1041
0	308

prune851.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite44.0ms

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:

39.0ms

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

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

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

simplify3.2s

Counts

23 → 23

Iterations

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

prune114.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

15.1b

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

rewrite36.0ms

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:

35.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify4.3s

Counts

29 → 29

Iterations

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

prune116.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes206.0ms

Accuracy

0% (3.2b remaining)

Error of 3.4b against oracle of 0.3b and baseline of 3.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample15.8s

Algorithm

intervals

Results

5.2s	2616×	body	2560	valid
4.2s	3439×	body	1280	valid
3.5s	1972×	body	10240	exit
1.1s	1014×	body	640	valid
1.1s	9976×	pre	80	true
130.0ms	341×	body	320	valid
53.0ms	462×	body	80	valid
36.0ms	132×	body	160	valid