Details

sample385.0ms

Algorithm

intervals

Results

156.0ms	96×	body	2560	valid
107.0ms	98×	body	1280	valid
68.0ms	48×	body	10240	exit
18.0ms	32×	body	640	valid
10.0ms	305×	pre	80	true
6.0ms	15×	body	320	valid
2.0ms	6×	body	160	valid
1.0ms	10×	body	80	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
5	4055
4	686
3	213
2	96
1	41
0	17

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.9b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
2.7b	(- (exp (* b eps)) 1)
3.7b	(- (exp (* a eps)) 1)
4.3b	(- (exp (* (+ a b) eps)) 1)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
13×	`*-un-lft-identity`
10×	`flip3--` `flip--` `add-log-exp`
8×	`associate-/r/`
6×	`difference-of-squares`
4×	`frac-times` `pow1` `cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `add-cube-cbrt` `cbrt-unprod` `insert-posit16`
3×	`sub-neg` `diff-log` `difference-of-sqr-1` `distribute-lft-out--`
2×	`associate-*l/` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `div-inv` `associate-/l`

Counts

4 → 83

Calls

4 calls:

51.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
11.0ms	(- (exp (* b eps)) 1)
11.0ms	(- (exp (* a eps)) 1)
17.0ms	(- (exp (* (+ a b) eps)) 1)

series335.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
44.0ms	(- (exp (* b eps)) 1)
52.0ms	(- (exp (* a eps)) 1)
48.0ms	(- (exp (* (+ a b) eps)) 1)

simplify10.5s

Counts

95 → 95

Iterations

Iter	Nodes
3	14467
2	1953
1	488
0	182

prune1.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:

10.0ms

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

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

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

simplify984.0ms

Counts

23 → 23

Iterations

Iter	Nodes
4	2330
3	898
2	363
1	101
0	41

prune253.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite132.0ms

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` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`associate-l/` `associate-r/`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 163

Calls

4 calls:

91.0ms	(* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b))))
13.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
13.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
8.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))

series486.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b))))
122.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
89.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
125.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))

simplify2.9s

Counts

175 → 175

Iterations

Iter	Nodes
3	3063
2	1080
1	409
0	180

prune1.9s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 1 expressions with local error:

14.2b

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

rewrite22.0ms

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:

22.0ms

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

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

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

simplify4.5s

Counts

29 → 29

Iterations

Iter	Nodes
4	6147
3	1932
2	534
1	147
0	57

prune233.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.2b

regimes245.0ms

Accuracy

0% (3.0b remaining)

Error of 3.1b against oracle of 0.1b and baseline of 3.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	7
1	7
0	6

end0.0ms

sample19.6s

Algorithm

intervals

Results

6.5s	2587×	body	2560	valid
5.1s	1996×	body	10240	exit
4.8s	3430×	body	1280	valid
1.6s	1066×	body	640	valid
609.0ms	361×	body	320	valid
544.0ms	9999×	pre	80	true
75.0ms	419×	body	80	valid
53.0ms	140×	body	160	valid