Details

sample288.0ms

Algorithm

intervals

Results

117.0ms	73×	body	2560	valid
65.0ms	108×	body	1280	valid
54.0ms	49×	body	10240	exit
17.0ms	45×	body	640	valid
7.0ms	305×	pre	80	true
2.0ms	10×	body	320	valid
1.0ms	7×	body	160	valid
1.0ms	13×	body	80	valid

simplify121.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.6b

localize26.0ms

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)))
3.2b	(- (exp (* b eps)) 1.0)
4.5b	(- (exp (* a eps)) 1.0)
5.8b	(- (exp (* (+ a b) eps)) 1.0)

rewrite150.0ms

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:

69.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
12.0ms	(- (exp (* b eps)) 1.0)
43.0ms	(- (exp (* a eps)) 1.0)
23.0ms	(- (exp (* (+ a b) eps)) 1.0)

series442.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
56.0ms	(- (exp (* b eps)) 1.0)
53.0ms	(- (exp (* a eps)) 1.0)
71.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify67.0ms

Counts: 85 → 85

prune454.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

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:

34.0ms

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

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

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

simplify94.0ms

Counts: 22 → 22

prune96.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (/ 1 b) (/ 1 a)))
0.5b	(cbrt (+ (/ 1 b) (/ 1 a)))
0.5b	(cbrt (+ (/ 1 b) (/ 1 a)))
0.6b	(* (cbrt (+ (/ 1 b) (/ 1 a))) (cbrt (+ (/ 1 b) (/ 1 a))))

rewrite296.0ms

Algorithm

rewrite-expression-head

Rules

139×	`*-un-lft-identity`
114×	`cbrt-prod`
81×	`distribute-lft-out`
60×	`div-inv`
42×	`times-frac`
37×	`add-sqr-sqrt`
33×	`cbrt-div` `swap-sqr`
29×	`add-cube-cbrt`
13×	`associate-r` `associate-l`
11×	`pow1` `flip3-+` `frac-add` `flip-+`
9×	`frac-times` `pow1/3`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-r/` `associate-l/`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 159

Calls

4 calls:

37.0ms	(cbrt (+ (/ 1 b) (/ 1 a)))
35.0ms	(cbrt (+ (/ 1 b) (/ 1 a)))
30.0ms	(cbrt (+ (/ 1 b) (/ 1 a)))
176.0ms	(* (cbrt (+ (/ 1 b) (/ 1 a))) (cbrt (+ (/ 1 b) (/ 1 a))))

series540.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (+ (/ 1 b) (/ 1 a)))
130.0ms	(cbrt (+ (/ 1 b) (/ 1 a)))
124.0ms	(cbrt (+ (/ 1 b) (/ 1 a)))
154.0ms	(* (cbrt (+ (/ 1 b) (/ 1 a))) (cbrt (+ (/ 1 b) (/ 1 a))))

simplify103.0ms

Counts: 171 → 171

prune547.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

13.0b

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

rewrite31.0ms

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:

29.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify54.0ms

Counts: 28 → 28

prune53.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes126.0ms

Accuracy

0% (3.2b remaining)

Error of 3.3b against oracle of 0.1b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample15.2s

Algorithm

intervals

Results

5.6s	2563×	body	2560	valid
3.7s	3451×	body	1280	valid
3.3s	2009×	body	10240	exit
781.0ms	10010×	pre	80	true
734.0ms	1106×	body	640	valid
102.0ms	312×	body	320	valid
43.0ms	443×	body	80	valid
28.0ms	126×	body	160	valid