Details

sample106.0ms

Algorithm

intervals

Results

57.0ms	86×	body	10240	exit
18.0ms	277×	body	80	valid
4.0ms	4×	body	1280	valid
4.0ms	8×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	3×	body	160	valid

simplify29.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.0b	(+ 1.0 (exp x))
0.4b	(log (+ 1.0 (exp x)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
8×	`log-prod`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `log-div` `associate--l+`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-log` `log-pow` `flip--`

Counts

3 → 45

Calls

3 calls:

14.0ms	(- (log (+ 1.0 (exp x))) (* x y))
15.0ms	(+ 1.0 (exp x))
9.0ms	(log (+ 1.0 (exp x)))

series169.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(- (log (+ 1.0 (exp x))) (* x y))
11.0ms	(+ 1.0 (exp x))
82.0ms	(log (+ 1.0 (exp x)))

simplify880.0ms

Counts: 54 → 54

prune232.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (+ (log 2.0) (* 0.5 x)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* x y))
0.0b	(+ (+ (log 2.0) (* 0.5 x)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))
0.0b	(* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))
0.0b	(+ (log 2.0) (* 0.5 x))

rewrite461.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
17×	`add-log-exp`
10×	`*-un-lft-identity`
9×	`add-exp-log` `associate-r`
8×	`add-cube-cbrt` `associate-l`
7×	`sum-log`
6×	`associate-*r/` `add-cbrt-cube`
5×	`sub-neg` `unpow-prod-down` `difference-of-squares`
4×	`pow1` `distribute-rgt-in` `associate-+l+` `associate-+r+` `flip3--` `distribute-lft-in` `flip3-+` `times-frac` `frac-add` `flip--` `flip-+` `unswap-sqr`
3×	`log-prod` `diff-log` `prod-exp` `unpow2` `sqr-pow`
2×	`+-commutative`
1×	`pow-to-exp` `pow-exp` `associate--l+` `*-commutative` `cbrt-unprod` `distribute-lft-out--`

Counts

4 → 89

Calls

4 calls:

259.0ms	(- (+ (+ (log 2.0) (* 0.5 x)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* x y))
54.0ms	(+ (+ (log 2.0) (* 0.5 x)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))
130.0ms	(* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))
14.0ms	(+ (log 2.0) (* 0.5 x))

series633.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(- (+ (+ (log 2.0) (* 0.5 x)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* x y))
84.0ms	(+ (+ (log 2.0) (* 0.5 x)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))
142.0ms	(* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))
285.0ms	(+ (log 2.0) (* 0.5 x))

simplify1.2s

Counts: 101 → 101

prune532.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.4b	(log (+ (exp x) 1.0))
0.7b	(pow (- (log (+ (exp x) 1.0)) (* x y)) 3)
13.1b	(cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
12×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`pow1` `add-exp-log` `unpow-prod-down` `cube-prod` `add-log-exp`
5×	`add-cbrt-cube`
4×	`cube-div` `log-prod`
3×	`pow-unpow`
2×	`cube-mult` `log-div` `cbrt-div` `flip3--` `flip3-+` `unpow3` `flip--` `flip-+` `distribute-lft-out` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `rem-log-exp` `pow-exp` `sum-log` `log-pow` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 75

Calls

4 calls:

9.0ms	(+ (exp x) 1.0)
13.0ms	(log (+ (exp x) 1.0))
14.0ms	(pow (- (log (+ (exp x) 1.0)) (* x y)) 3)
12.0ms	(cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))

series448.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (exp x) 1.0)
87.0ms	(log (+ (exp x) 1.0))
241.0ms	(pow (- (log (+ (exp x) 1.0)) (* x y)) 3)
110.0ms	(cbrt (pow (- (log (+ (exp x) 1.0)) (* x y)) 3))

simplify696.0ms

Counts: 87 → 87

prune287.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify22.0ms

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.7s	2566×	body	10240	exit
990.0ms	8424×	body	80	valid
102.0ms	146×	body	1280	valid
100.0ms	259×	body	640	valid
39.0ms	170×	body	320	valid
16.0ms	113×	body	160	valid