Details

sample555.0ms

Algorithm

intervals

Results

174.0ms	85×	body	2560	valid
158.0ms	115×	body	1280	valid
151.0ms	57×	body	10240	exit
30.0ms	37×	body	640	valid
15.0ms	313×	pre	80	true
4.0ms	6×	body	320	valid
2.0ms	10×	body	80	valid
1.0ms	3×	body	160	valid

simplify2.5s

Counts: 1 → 1

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.6b

localize56.0ms

Local error

Found 4 expressions with local error:

6.0b	(- (exp (* (+ a b) eps)) 1)
4.0b	(- (exp (* b eps)) 1)
3.2b	(- (exp (* a eps)) 1)
0.5b	(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
10×	`add-log-exp` `difference-of-squares`
9×	`flip3--` `flip--`
7×	`associate-r` `associate-l`
6×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
5×	`sub-neg` `difference-of-sqr-1` `distribute-lft-out--`
4×	`frac-times` `insert-posit16`
3×	`diff-log`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `associate-r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

Slowest

99.0ms	(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))
15.0ms	(- (exp (* a eps)) 1)
13.0ms	(- (exp (* (+ a b) eps)) 1)
12.0ms	(- (exp (* b eps)) 1)

series241.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

87.0ms	(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))
58.0ms	(- (exp (* a eps)) 1)
58.0ms	(- (exp (* (+ a b) eps)) 1)
37.0ms	(- (exp (* b eps)) 1)

simplify1.8s

Counts: 102 → 102

prune1.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 49.8b

localize63.0ms

Local error

Found 4 expressions with local error:

6.0b	(- (exp (* (+ a b) eps)) 1)
4.7b	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (+ (+ (* eps b) (* (* (* eps b) (* eps b)) 1/2)) (* 1/6 (* eps (* (* (* eps b) (* eps b)) b))))))
3.2b	(- (exp (* a eps)) 1)
2.3b	(+ (+ (* eps b) (* (* (* eps b) (* eps b)) 1/2)) (* 1/6 (* eps (* (* (* eps b) (* eps b)) b))))

rewrite356.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

Slowest

224.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (+ (+ (* eps b) (* (* (* eps b) (* eps b)) 1/2)) (* 1/6 (* eps (* (* (* eps b) (* eps b)) b))))))
83.0ms	(+ (+ (* eps b) (* (* (* eps b) (* eps b)) 1/2)) (* 1/6 (* eps (* (* (* eps b) (* eps b)) b))))
35.0ms	(- (exp (* (+ a b) eps)) 1)
12.0ms	(- (exp (* a eps)) 1)

series1.8s

Counts

4 → 12

Calls

4 calls:

Slowest

1.6s	(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (+ (+ (* eps b) (* (* (* eps b) (* eps b)) 1/2)) (* 1/6 (* eps (* (* (* eps b) (* eps b)) b))))))
108.0ms	(+ (+ (* eps b) (* (* (* eps b) (* eps b)) 1/2)) (* 1/6 (* eps (* (* (* eps b) (* eps b)) b))))
63.0ms	(- (exp (* (+ a b) eps)) 1)
42.0ms	(- (exp (* a eps)) 1)

simplify1.8s

Counts: 92 → 92

prune1.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

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

22.0ms

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

series19.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

19.0ms

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

simplify1.5s

Counts: 23 → 23

prune155.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

10.8b

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

rewrite25.0ms

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:

Slowest

25.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

48.0ms

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

simplify3.7s

Counts: 29 → 29

prune232.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes128.0ms

Accuracy

0% (3.3b remaining)

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

bsearch1.0ms

end0.0ms

sample20.4s

Algorithm

intervals

Results

6.4s	2586×	body	2560	valid
6.2s	3424×	body	1280	valid
5.3s	1940×	body	10240	exit
1.1s	1014×	body	640	valid
657.0ms	9943×	pre	80	true
234.0ms	386×	body	320	valid
107.0ms	453×	body	80	valid
53.0ms	140×	body	160	valid