Details

sample122.0ms

Algorithm

intervals

Results

75.0ms	84×	body	10240	exit
21.0ms	262×	body	80	valid
7.0ms	11×	body	640	valid
4.0ms	5×	body	1280	valid
2.0ms	8×	body	320	valid
1.0ms	4×	body	160	valid

simplify30.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b	(log (+ 1 (exp x)))
0.0b	(+ 1 (exp x))
0.0b	(- (log (+ 1 (exp x))) (* x y))

rewrite17.0ms

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

8.0ms	(- (log (+ 1 (exp x))) (* x y))
4.0ms	(+ 1 (exp x))
4.0ms	(log (+ 1 (exp x)))

series154.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

75.0ms	(log (+ 1 (exp x)))
66.0ms	(- (log (+ 1 (exp x))) (* x y))
13.0ms	(+ 1 (exp x))

simplify1.2s

Counts: 57 → 57

prune598.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize56.0ms

Local error

Found 4 expressions with local error:

4.2b	(log (- (- (* (exp x) (exp x)) (exp x)) -1))
4.2b	(- (* (exp x) (exp x)) (exp x))
0.3b	(log (+ (pow 1 3) (pow (exp x) 3)))
0.0b	(pow (exp x) 3)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
15×	`log-prod`
13×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
7×	`pow1` `unpow-prod-down` `cube-prod`
6×	`add-exp-log` `distribute-lft-out` `add-log-exp`
5×	`add-cbrt-cube`
4×	`log-div` `pow-pow` `insert-posit16`
3×	`pow-unpow` `exp-prod`
2×	`cube-mult` `flip3--` `rem-log-exp` `log-pow` `flip--` `difference-of-squares`
1×	`pow-to-exp` `sub-neg` `flip3-+` `distribute-rgt-out--` `diff-log` `unpow3` `pow-exp` `sum-cubes` `flip-+` `distribute-lft-out--` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 81

Calls

4 calls:

Slowest

78.0ms	(log (- (- (* (exp x) (exp x)) (exp x)) -1))
13.0ms	(- (* (exp x) (exp x)) (exp x))
9.0ms	(log (+ (pow 1 3) (pow (exp x) 3)))
3.0ms	(pow (exp x) 3)

series284.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

134.0ms	(log (- (- (* (exp x) (exp x)) (exp x)) -1))
88.0ms	(log (+ (pow 1 3) (pow (exp x) 3)))
38.0ms	(- (* (exp x) (exp x)) (exp x))
25.0ms	(pow (exp x) 3)

simplify1.0s

Counts: 93 → 93

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 3 expressions with local error:

7.3b	(log (+ (* (* x 1/2) x) (+ 2 x)))
0.0b	(- (log (+ (* (* x 1/2) x) (+ 2 x))) (* x y))
0.0b	(+ (* (* x 1/2) x) (+ 2 x))

rewrite87.0ms

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

33.0ms	(+ (* (* x 1/2) x) (+ 2 x))
33.0ms	(log (+ (* (* x 1/2) x) (+ 2 x)))
20.0ms	(- (log (+ (* (* x 1/2) x) (+ 2 x))) (* x y))

series144.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

76.0ms	(- (log (+ (* (* x 1/2) x) (+ 2 x))) (* x y))
44.0ms	(log (+ (* (* x 1/2) x) (+ 2 x)))
23.0ms	(+ (* (* x 1/2) x) (+ 2 x))

simplify1.2s

Counts: 56 → 56

prune686.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

16.7b	(cbrt (* (* (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y))) (- (log (+ 1 (exp x))) (* x y))))
0.7b	(* (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)))
0.3b	(log (+ 1 (exp x)))
0.3b	(log (+ 1 (exp x)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

33×	`flip3--` `flip--`
32×	`frac-times`
26×	`cbrt-div`
20×	`*-un-lft-identity`
16×	`log-prod` `associate-*l/`
14×	`add-sqr-sqrt`
13×	`pow1`
12×	`add-cube-cbrt`
10×	`associate-*r/`
8×	`associate--l+` `add-exp-log`
6×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
4×	`log-div` `insert-posit16` `distribute-lft-out` `add-log-exp`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`sub-neg` `flip3-+` `rem-log-exp` `log-pow` `flip-+`
1×	`cbrt-prod` `pow2` `pow-plus` `pow1/3` `pow3` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr`

Counts

4 → 115

Calls

4 calls:

Slowest

54.0ms	(* (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)))
38.0ms	(cbrt (* (* (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y))) (- (log (+ 1 (exp x))) (* x y))))
7.0ms	(log (+ 1 (exp x)))
4.0ms	(log (+ 1 (exp x)))

series344.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

121.0ms	(* (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)))
81.0ms	(log (+ 1 (exp x)))
77.0ms	(cbrt (* (* (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y))) (- (log (+ 1 (exp x))) (* x y))))
65.0ms	(log (+ 1 (exp x)))

simplify1.3s

Counts: 127 → 127

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes181.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch3.0ms

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.8s	2442×	body	10240	exit
877.0ms	8443×	body	80	valid
181.0ms	268×	body	640	valid
118.0ms	126×	body	1280	valid
66.0ms	182×	body	320	valid
20.0ms	95×	body	160	valid