Details

sample369.0ms

Algorithm

intervals

Results

107.0ms	73×	body	2560	valid
85.0ms	112×	body	1280	valid
84.0ms	62×	body	10240	exit
49.0ms	34×	body	640	valid
8.0ms	319×	pre	80	true
4.0ms	15×	body	320	valid
2.0ms	19×	body	80	valid
1.0ms	4×	body	160	valid

simplify111.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.5b

localize50.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
3.0b	(- (exp (* a eps)) 1.0)
4.3b	(- (exp (* b eps)) 1.0)
5.8b	(- (exp (* (+ a b) eps)) 1.0)

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

57.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
13.0ms	(- (exp (* a eps)) 1.0)
13.0ms	(- (exp (* b eps)) 1.0)
16.0ms	(- (exp (* (+ a b) eps)) 1.0)

series365.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
35.0ms	(- (exp (* a eps)) 1.0)
36.0ms	(- (exp (* b eps)) 1.0)
55.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify70.0ms

Counts: 85 → 85

prune349.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite38.0ms

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` `add-exp-log` `+-commutative` `flip3-+` `frac-add` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 19

Calls

1 calls:

37.0ms

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

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

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

simplify106.0ms

Counts: 22 → 22

prune52.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

12.0b

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
4×	`times-frac` `associate-/l*`
3×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out`
1×	`pow1` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

37.0ms

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

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

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

simplify71.0ms

Counts: 28 → 28

prune62.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ b a) a)
7.1b	(* (/ 1 b) (/ (+ b a) a))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
40×	`times-frac`
26×	`add-exp-log` `add-cube-cbrt`
16×	`associate-r` `add-cbrt-cube`
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` `associate-/l/` `add-log-exp`
1×	`frac-times` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `flip-+`

Counts

2 → 92

Calls

2 calls:

38.0ms	(/ (+ b a) a)
47.0ms	(* (/ 1 b) (/ (+ b a) a))

series75.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (+ b a) a)
42.0ms	(* (/ 1 b) (/ (+ b a) a))

simplify58.0ms

Counts: 98 → 98

prune241.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (3.1b remaining)

Error of 3.2b against oracle of 0.1b and baseline of 3.2b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample14.2s

Algorithm

intervals

Results

4.9s	2574×	body	2560	valid
4.3s	3386×	body	1280	valid
2.8s	1926×	body	10240	exit
1.1s	1101×	body	640	valid
322.0ms	9930×	pre	80	true
166.0ms	376×	body	320	valid
82.0ms	428×	body	80	valid
28.0ms	139×	body	160	valid