Details

sample138.0ms

Algorithm

intervals

Results

86.0ms	79×	body	10240	exit
25.0ms	257×	body	80	valid
7.0ms	11×	body	640	valid
3.0ms	3×	body	1280	valid
2.0ms	7×	body	320	valid
1.0ms	3×	body	160	valid

simplify19.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize27.0ms

Local error

Found 3 expressions with local error:

0.5b	(log (+ 1 (exp x)))
0.0b	(+ 1 (exp x))
0.0b	(- (log (+ 1 (exp x))) (* x y))

rewrite26.0ms

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` `log-div` `associate--l+` `add-exp-log`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 48

Calls

3 calls:

Slowest

16.0ms	(- (log (+ 1 (exp x))) (* x y))
5.0ms	(+ 1 (exp x))
4.0ms	(log (+ 1 (exp x)))

series140.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

65.0ms	(log (+ 1 (exp x)))
65.0ms	(- (log (+ 1 (exp x))) (* x y))
9.0ms	(+ 1 (exp x))

simplify1.7s

Counts: 57 → 57

prune489.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

1.2b	(log (sqrt (+ 1 (exp x))))
1.2b	(log (sqrt (+ 1 (exp x))))
0.0b	(+ 1 (exp x))
0.0b	(+ 1 (exp x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`log-prod`
8×	`add-sqr-sqrt` `pow1` `add-cube-cbrt` `sqrt-prod` `add-log-exp`
6×	`add-exp-log` `log-pow`
4×	`log-div` `flip3-+` `add-cbrt-cube` `sqrt-div` `flip-+` `insert-posit16` `distribute-lft-out`
2×	`+-commutative` `sum-log` `sqrt-pow1` `pow1/2` `rem-log-exp`

Counts

4 → 68

Calls

4 calls:

Slowest

5.0ms	(+ 1 (exp x))
4.0ms	(+ 1 (exp x))
4.0ms	(log (sqrt (+ 1 (exp x))))
4.0ms	(log (sqrt (+ 1 (exp x))))

series329.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

161.0ms	(log (sqrt (+ 1 (exp x))))
134.0ms	(log (sqrt (+ 1 (exp x))))
20.0ms	(+ 1 (exp x))
14.0ms	(+ 1 (exp x))

simplify2.2s

Counts: 80 → 80

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize65.0ms

Local error

Found 4 expressions with local error:

3.4b	(+ (exp x) -1)
1.2b	(log (sqrt (+ 1 (exp x))))
1.2b	(log (sqrt (/ (+ (exp (+ x (+ x x))) 1) (- (* (exp x) (+ (exp x) -1)) -1))))
0.4b	(/ (+ (exp (+ x (+ x x))) 1) (- (* (exp x) (+ (exp x) -1)) -1))

rewrite539.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
28×	`log-prod`
25×	`add-sqr-sqrt`
24×	`times-frac` `add-cube-cbrt`
22×	`sqrt-prod`
9×	`distribute-lft-out`
8×	`pow1` `add-exp-log`
6×	`add-cbrt-cube` `log-pow` `add-log-exp`
4×	`associate-/r/` `insert-posit16` `associate-/l*`
3×	`log-div` `associate-/r*` `flip3-+` `sqrt-div` `flip-+`
2×	`sqrt-pow1` `flip3--` `pow1/2` `rem-log-exp` `div-inv` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `difference-of-sqr--1` `clear-num` `sum-log` `frac-2neg` `div-exp`

Counts

4 → 105

Calls

4 calls:

Slowest

402.0ms	(/ (+ (exp (+ x (+ x x))) 1) (- (* (exp x) (+ (exp x) -1)) -1))
114.0ms	(log (sqrt (/ (+ (exp (+ x (+ x x))) 1) (- (* (exp x) (+ (exp x) -1)) -1))))
13.0ms	(+ (exp x) -1)
8.0ms	(log (sqrt (+ 1 (exp x))))

series513.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

258.0ms	(log (sqrt (/ (+ (exp (+ x (+ x x))) 1) (- (* (exp x) (+ (exp x) -1)) -1))))
162.0ms	(log (sqrt (+ 1 (exp x))))
74.0ms	(/ (+ (exp (+ x (+ x x))) 1) (- (* (exp x) (+ (exp x) -1)) -1))
19.0ms	(+ (exp x) -1)

simplify1.8s

Counts: 117 → 117

prune1.9s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 3 expressions with local error:

6.6b	(log (+ (* (* x 1/2) x) (+ 2 x)))
0.0b	(+ (* (* x 1/2) x) (+ 2 x))
0.0b	(- (log (+ (* (* x 1/2) x) (+ 2 x))) (* x y))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
6×	`log-prod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `log-div` `add-exp-log`
3×	`sum-log` `flip3-+` `add-cbrt-cube` `associate--l+` `flip-+` `insert-posit16`
2×	`associate--l-`
1×	`+-commutative` `associate-+r+` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 47

Calls

3 calls:

Slowest

23.0ms	(+ (* (* x 1/2) x) (+ 2 x))
22.0ms	(- (log (+ (* (* x 1/2) x) (+ 2 x))) (* x y))
19.0ms	(log (+ (* (* x 1/2) x) (+ 2 x)))

series174.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

96.0ms	(- (log (+ (* (* x 1/2) x) (+ 2 x))) (* x y))
39.0ms	(+ (* (* x 1/2) x) (+ 2 x))
38.0ms	(log (+ (* (* x 1/2) x) (+ 2 x)))

simplify1.1s

Counts: 56 → 56

prune530.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes147.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch2.0ms

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.8s	2463×	body	10240	exit
854.0ms	8407×	body	80	valid
143.0ms	260×	body	640	valid
122.0ms	132×	body	1280	valid
101.0ms	187×	body	320	valid
47.0ms	107×	body	160	valid