Details

sample371.0ms

Algorithm

intervals

Results

124.0ms	70×	body	10240	exit
101.0ms	332×	body	80	valid
76.0ms	57×	body	1280	valid
31.0ms	40×	body	640	valid
8.0ms	12×	body	320	valid
2.0ms	6×	body	160	valid

simplify1.5s

Counts: 1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.0b

localize44.0ms

Local error

Found 4 expressions with local error:

1.2b	(- (/ (exp (- (* x eps) x)) eps) (- (/ (exp (- (- x) (* x eps))) eps) (exp (- (- x) (* x eps)))))
0.0b	(/ (exp (- (- x) (* x eps))) eps)
0.0b	(/ (exp (- (* x eps) x)) eps)
0.0b	(- (* x eps) x)

rewrite381.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

Slowest

300.0ms	(- (/ (exp (- (* x eps) x)) eps) (- (/ (exp (- (- x) (* x eps))) eps) (exp (- (- x) (* x eps)))))
44.0ms	(/ (exp (- (- x) (* x eps))) eps)
29.0ms	(/ (exp (- (* x eps) x)) eps)
7.0ms	(- (* x eps) x)

series259.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

110.0ms	(- (/ (exp (- (* x eps) x)) eps) (- (/ (exp (- (- x) (* x eps))) eps) (exp (- (- x) (* x eps)))))
61.0ms	(- (* x eps) x)
45.0ms	(/ (exp (- (- x) (* x eps))) eps)
43.0ms	(/ (exp (- (* x eps) x)) eps)

simplify2.2s

Counts: 123 → 123

prune1.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

2.1b	(- (/ (exp (- (* x eps) x)) eps) (/ (exp (- (- x) (* x eps))) eps))
0.0b	(/ (exp (- (- x) (* x eps))) eps)
0.0b	(/ (exp (- (* x eps) x)) eps)
0.0b	(- (* x eps) x)

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

Slowest

118.0ms	(- (/ (exp (- (* x eps) x)) eps) (/ (exp (- (- x) (* x eps))) eps))
50.0ms	(/ (exp (- (* x eps) x)) eps)
25.0ms	(/ (exp (- (- x) (* x eps))) eps)
7.0ms	(- (* x eps) x)

series207.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

75.0ms	(- (/ (exp (- (* x eps) x)) eps) (/ (exp (- (- x) (* x eps))) eps))
45.0ms	(/ (exp (- (* x eps) x)) eps)
43.0ms	(/ (exp (- (- x) (* x eps))) eps)
43.0ms	(- (* x eps) x)

simplify1.8s

Counts: 123 → 123

prune1.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 3/2 (* x x))
0.0b	(+ (exp (- (* x eps) x)) (- (+ 1 x) (* 3/2 (* x x))))
0.0b	(- (* x eps) x)
0.0b	(- (+ 1 x) (* 3/2 (* x x)))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
5×	`sum-log` `diff-log` `add-cube-cbrt`
4×	`insert-posit16`
3×	`associate-+r+` `sub-neg` `flip3--` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip--`
2×	`exp-diff` `frac-add` `associate--l+`
1×	`+-commutative` `associate-+r-` `flip3-+` `associate-r` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

Slowest

89.0ms	(+ (exp (- (* x eps) x)) (- (+ 1 x) (* 3/2 (* x x))))
58.0ms	(- (+ 1 x) (* 3/2 (* x x)))
32.0ms	(* 3/2 (* x x))
14.0ms	(- (* x eps) x)

series172.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

56.0ms	(+ (exp (- (* x eps) x)) (- (+ 1 x) (* 3/2 (* x x))))
53.0ms	(- (* x eps) x)
37.0ms	(* 3/2 (* x x))
25.0ms	(- (+ 1 x) (* 3/2 (* x x)))

simplify2.3s

Counts: 81 → 81

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (- eps x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 27

Calls

1 calls:

Slowest

33.0ms

(* x (- eps x))

series64.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

63.0ms

(* x (- eps x))

simplify1.9s

Counts: 30 → 30

prune332.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (0.5b remaining)

Error of 1.0b against oracle of 0.5b and baseline of 1.0b

bsearch5.0ms

end0.0ms

sample11.8s

Algorithm

intervals

Results

4.4s	1883×	body	10240	exit
2.8s	9879×	body	80	valid
2.5s	1780×	body	1280	valid
1.1s	1231×	body	640	valid
505.0ms	623×	body	320	valid
128.0ms	349×	body	160	valid