Details

sample446.0ms

Algorithm

intervals

Results

140.0ms	80×	body	2560	valid
126.0ms	60×	body	10240	exit
111.0ms	105×	body	1280	valid
21.0ms	38×	body	640	valid
9.0ms	316×	pre	80	true
3.0ms	11×	body	320	valid
2.0ms	19×	body	80	valid
1.0ms	3×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

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

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.3b

localize74.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
2.6b	(- (exp (* b eps)) 1.0)
3.1b	(- (exp (* a eps)) 1.0)
4.5b	(- (exp (* (+ a b) eps)) 1.0)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `*-un-lft-identity` `flip3--` `flip--` `add-log-exp`
8×	`associate-/r/`
4×	`frac-times` `pow1` `cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `add-cube-cbrt` `cbrt-unprod`
3×	`sub-neg` `diff-log` `distribute-lft-out--` `difference-of-squares`
2×	`associate-*l/` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `div-inv` `associate-/l`

Counts

4 → 73

Calls

4 calls:

59.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
19.0ms	(- (exp (* b eps)) 1.0)
14.0ms	(- (exp (* a eps)) 1.0)
10.0ms	(- (exp (* (+ a b) eps)) 1.0)

series450.0ms

Counts

4 → 12

Calls

4 calls:

296.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
42.0ms	(- (exp (* b eps)) 1.0)
49.0ms	(- (exp (* a eps)) 1.0)
63.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify1.0s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	2538
1	487
0	174

prune679.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

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:

34.0ms

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

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify1.1s

Counts

22 → 22

Iterations

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

prune120.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

13.8b

(/ (+ b a) (* 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-+` `div-inv` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

19.0ms

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

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify2.3s

Counts

28 → 28

Iterations

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

prune137.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ a b) b)
6.0b	(* (/ 1 a) (/ (+ a b) b))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
40×	`times-frac`
26×	`add-exp-log` `add-cube-cbrt`
16×	`add-cbrt-cube` `associate-r`
13×	`associate-l`
9×	`div-exp`
8×	`prod-exp`
7×	`distribute-lft-out`
6×	`unswap-sqr`
5×	`cbrt-undiv`
4×	`pow1` `cbrt-unprod` `associate-/l*`
3×	`associate-/r*` `div-inv`
2×	`rec-exp` `1-exp` `add-log-exp` `associate-/l/`
1×	`frac-times` `clear-num` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `flip-+`

Counts

2 → 92

Calls

2 calls:

27.0ms	(/ (+ a b) b)
36.0ms	(* (/ 1 a) (/ (+ a b) b))

series93.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(/ (+ a b) b)
73.0ms	(* (/ 1 a) (/ (+ a b) b))

simplify1.6s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	3029
1	425
0	140

prune442.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes364.0ms

Accuracy

92.5% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 3.4b

bsearch2.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	39
1	39
0	27

end0.0ms

sample14.0s

Algorithm

intervals

Results

4.5s	2618×	body	2560	valid
3.7s	1936×	body	10240	exit
3.3s	3414×	body	1280	valid
961.0ms	1021×	body	640	valid
761.0ms	9941×	pre	80	true
114.0ms	353×	body	320	valid
43.0ms	455×	body	80	valid
29.0ms	144×	body	160	valid