Details

sample577.0ms

Algorithm

intervals

Results

198.0ms	88×	body	2560	valid
179.0ms	100×	body	1280	valid
113.0ms	55×	body	10240	exit
30.0ms	34×	body	640	valid
15.0ms	312×	pre	80	true
10.0ms	15×	body	320	valid
3.0ms	14×	body	80	valid
3.0ms	6×	body	160	valid

simplify1.9s

Counts: 1 → 1

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.6b

localize39.0ms

Local error

Found 4 expressions with local error:

5.4b	(- (exp (* (+ a b) eps)) 1)
3.7b	(- (exp (* b eps)) 1)
3.4b	(- (exp (* a eps)) 1)
0.3b	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))

rewrite132.0ms

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:

Slowest

87.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
18.0ms	(- (exp (* (+ a b) eps)) 1)
14.0ms	(- (exp (* a eps)) 1)
11.0ms	(- (exp (* b eps)) 1)

series452.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

265.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
87.0ms	(- (exp (* (+ a b) eps)) 1)
53.0ms	(- (exp (* b eps)) 1)
47.0ms	(- (exp (* a eps)) 1)

simplify758.0ms

Counts: 95 → 95

prune1.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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:

Slowest

10.0ms

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

series13.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

13.0ms

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

simplify1.7s

Counts: 23 → 23

prune200.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

29.9b	(/ (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (- (/ 1 a) (/ 1 b)))
4.5b	(- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))
0.3b	(* (/ 1 b) (/ 1 b))
0.3b	(* (/ 1 a) (/ 1 a))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

263×	`add-sqr-sqrt`
262×	`times-frac`
191×	`*-un-lft-identity`
95×	`add-cube-cbrt`
86×	`add-exp-log`
66×	`difference-of-squares`
35×	`distribute-lft-out--`
34×	`pow1`
33×	`div-exp` `frac-sub` `div-inv`
32×	`prod-exp`
30×	`add-cbrt-cube` `swap-sqr`
26×	`associate-r` `associate-l`
19×	`associate-/r*`
18×	`frac-times` `associate-l/` `associate-r/` `un-div-inv` `unswap-sqr` `associate-/l/`
16×	`rec-exp` `1-exp` `pow-flip` `inv-pow`
10×	`pow-prod-up`
9×	`cbrt-undiv`
8×	`cbrt-unprod`
6×	`pow-prod-down` `pow-sqr` `add-log-exp`
4×	`insert-posit16` `associate-/l*`
3×	`flip3--` `associate-/r/` `flip--`
2×	`pow2` `pow-plus` `*-commutative`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub`

Counts

4 → 356

Calls

4 calls:

Slowest

65.0ms	(/ (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (- (/ 1 a) (/ 1 b)))
23.0ms	(* (/ 1 a) (/ 1 a))
19.0ms	(* (/ 1 b) (/ 1 b))
16.0ms	(- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))

series143.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

50.0ms	(/ (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (- (/ 1 a) (/ 1 b)))
36.0ms	(- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b)))
35.0ms	(* (/ 1 b) (/ 1 b))
22.0ms	(* (/ 1 a) (/ 1 a))

simplify691.0ms

Counts: 368 → 368

prune3.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

13.5b	(* (* (* (* eps eps) eps) b) (* b b))
5.6b	(* (* (* eps eps) eps) b)
5.4b	(- (exp (* (+ a b) eps)) 1)
3.4b	(- (exp (* a eps)) 1)

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1` `add-cbrt-cube` `add-exp-log`
30×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
8×	`add-log-exp`
5×	`add-cube-cbrt`
4×	`associate-r` `insert-posit16` `difference-of-squares`
2×	`sub-neg` `flip3--` `diff-log` `difference-of-sqr-1` `associate-l` `*-commutative` `flip--` `distribute-lft-out--`

Counts

4 → 91

Calls

4 calls:

Slowest

191.0ms	(* (* (* (* eps eps) eps) b) (* b b))
40.0ms	(* (* (* eps eps) eps) b)
13.0ms	(- (exp (* (+ a b) eps)) 1)
12.0ms	(- (exp (* a eps)) 1)

series220.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

87.0ms	(* (* (* (* eps eps) eps) b) (* b b))
61.0ms	(- (exp (* (+ a b) eps)) 1)
37.0ms	(* (* (* eps eps) eps) b)
34.0ms	(- (exp (* a eps)) 1)

simplify1.6s

Counts: 103 → 103

prune1.9s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes198.0ms

Accuracy

92.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 3.1b

bsearch8.0ms

end0.0ms

sample20.7s

Algorithm

intervals

Results

6.6s	2633×	body	2560	valid
6.2s	3412×	body	1280	valid
5.2s	2023×	body	10240	exit
1.1s	1084×	body	640	valid
979.0ms	10027×	pre	80	true
217.0ms	323×	body	320	valid
78.0ms	416×	body	80	valid
54.0ms	136×	body	160	valid