Details

sample110.0ms

Algorithm

intervals

Results

69.0ms	73×	body	10240	exit
22.0ms	273×	body	80	valid
3.0ms	4×	body	1280	valid
3.0ms	5×	body	640	valid
1.0ms	5×	body	320	valid
0.0ms	2×	body	160	valid

simplify20.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

20.0ms

(- (log (+ 1 (exp x))) (* x y))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize23.0ms

Local error

Found 3 expressions with local error:

1.0b	(log (+ 1 (exp x)))
0.0b	(- (log (+ 1 (exp x))) (* x y))
0.0b	(+ 1 (exp x))

rewrite37.0ms

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

24.0ms	(- (log (+ 1 (exp x))) (* x y))
7.0ms	(log (+ 1 (exp x)))
5.0ms	(+ 1 (exp x))

series125.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

60.0ms	(log (+ 1 (exp x)))
56.0ms	(- (log (+ 1 (exp x))) (* x y))
9.0ms	(+ 1 (exp x))

simplify697.0ms

Counts

25 → 57

Calls

25 calls:

Slowest

91.0ms	(log (+ (pow 1 3) (pow (exp x) 3)))
72.0ms	(log (+ (pow 1 3) (pow (exp x) 3)))
72.0ms	(+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))
65.0ms	(+ (log 2) (+ (* 1/2 x) (* 1/8 (pow x 2))))
65.0ms	(/ (+ 1 (exp x)) (exp (* x y)))

prune576.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize59.0ms

Local error

Found 4 expressions with local error:

4.5b	(log (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))
4.3b	(- (* (exp x) (exp x)) (* 1 (exp x)))
1.1b	(log (+ (exp (+ (+ x x) x)) 1))
0.0b	(exp (+ (+ x x) x))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
12×	`exp-prod` `add-log-exp`
10×	`add-cube-cbrt` `distribute-lft-out`
8×	`log-prod`
6×	`pow1` `add-exp-log`
4×	`log-div` `distribute-lft1-in` `add-cbrt-cube` `insert-posit16`
3×	`sum-log` `distribute-rgt-out` `rem-exp-log`
2×	`flip3-+` `rem-log-exp` `distribute-rgt1-in` `log-pow` `flip-+`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `exp-sum` `flip--`

Counts

4 → 70

Calls

4 calls:

Slowest

108.0ms	(log (+ (exp (+ (+ x x) x)) 1))
62.0ms	(exp (+ (+ x x) x))
34.0ms	(log (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))
18.0ms	(- (* (exp x) (exp x)) (* 1 (exp x)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

126.0ms	(log (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))
84.0ms	(log (+ (exp (+ (+ x x) x)) 1))
40.0ms	(- (* (exp x) (exp x)) (* 1 (exp x)))
9.0ms	(exp (+ (+ x x) x))

simplify3.6s

Counts

45 → 82

Calls

45 calls:

Slowest

449.0ms	(log (+ (pow (* 1 1) 3) (pow (- (* (exp x) (exp x)) (* 1 (exp x))) 3)))
444.0ms	(log (- (* (* 1 1) (* 1 1)) (* (- (* (exp x) (exp x)) (* 1 (exp x))) (- (* (exp x) (exp x)) (* 1 (exp x))))))
308.0ms	(/ (exp (* (exp x) (exp x))) (exp (* 1 (exp x))))
247.0ms	(log (+ (pow (exp (+ (+ x x) x)) 3) (pow 1 3)))
212.0ms	(log (- (+ (pow (exp x) 2) 1) (exp x)))

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize107.0ms

Local error

Found 4 expressions with local error:

4.6b	(log (+ (* (exp (+ (+ x x) x)) (exp (+ (+ x x) x))) (- (* 1 1) (* (exp (+ (+ x x) x)) 1))))
4.5b	(log (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))
4.3b	(- (* (exp x) (exp x)) (* 1 (exp x)))
3.7b	(- (* 1 1) (* (exp (+ (+ x x) x)) 1))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

8×	`add-log-exp`
7×	`log-prod` `*-un-lft-identity`
6×	`add-sqr-sqrt` `pow1` `add-exp-log` `add-cube-cbrt`
4×	`log-div` `add-cbrt-cube` `insert-posit16`
2×	`sub-neg` `flip3-+` `flip3--` `distribute-rgt-out--` `diff-log` `rem-log-exp` `log-pow` `flip-+` `flip--`
1×	`distribute-lft-out`

Counts

4 → 59

Calls

4 calls:

Slowest

1.0s	(log (+ (* (exp (+ (+ x x) x)) (exp (+ (+ x x) x))) (- (* 1 1) (* (exp (+ (+ x x) x)) 1))))
207.0ms	(- (* 1 1) (* (exp (+ (+ x x) x)) 1))
27.0ms	(log (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))
20.0ms	(- (* (exp x) (exp x)) (* 1 (exp x)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

122.0ms	(log (+ (* (exp (+ (+ x x) x)) (exp (+ (+ x x) x))) (- (* 1 1) (* (exp (+ (+ x x) x)) 1))))
120.0ms	(log (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))))
39.0ms	(- (* (exp x) (exp x)) (* 1 (exp x)))
22.0ms	(- (* 1 1) (* (exp (+ (+ x x) x)) 1))

simplify5.8s

Counts

30 → 71

Calls

30 calls:

Slowest

531.0ms	(log (* (cbrt (+ (* (exp (+ (+ x x) x)) (exp (+ (+ x x) x))) (- (* 1 1) (* (exp (+ (+ x x) x)) 1)))) (cbrt (+ (* (exp (+ (+ x x) x)) (exp (+ (+ x x) x))) (- (* 1 1) (* (exp (+ (+ x x) x)) 1))))))
521.0ms	(log (sqrt (+ (* (exp (+ (+ x x) x)) (exp (+ (+ x x) x))) (- (* 1 1) (* (exp (+ (+ x x) x)) 1)))))
457.0ms	(log (+ (pow (* (exp (+ (+ x x) x)) (exp (+ (+ x x) x))) 3) (pow (- (* 1 1) (* (exp (+ (+ x x) x)) 1)) 3)))
431.0ms	(+ (* (exp (+ (+ x x) x)) (exp (+ (+ x x) x))) (- (* 1 1) (* (exp (+ (+ x x) x)) 1)))
415.0ms	(log (+ (pow (* 1 1) 3) (pow (- (* (exp x) (exp x)) (* 1 (exp x))) 3)))

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize20.0ms

Local error

Found 4 expressions with local error:

1.7b	(log (sqrt (+ 1 (exp x))))
1.7b	(log (sqrt (+ 1 (exp x))))
0.0b	(- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y))
0.0b	(+ 1 (exp x))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

Slowest

76.0ms	(- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y))
7.0ms	(log (sqrt (+ 1 (exp x))))
5.0ms	(+ 1 (exp x))
5.0ms	(log (sqrt (+ 1 (exp x))))

series853.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

586.0ms	(- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y))
127.0ms	(log (sqrt (+ 1 (exp x))))
126.0ms	(log (sqrt (+ 1 (exp x))))
14.0ms	(+ 1 (exp x))

simplify2.4s

Counts

43 → 86

Calls

43 calls:

Slowest

313.0ms	(/ (exp (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x)))))) (exp (* x y)))
247.0ms	(/ (* (sqrt (+ 1 (exp x))) (sqrt (+ 1 (exp x)))) (exp (* x y)))
235.0ms	(log (sqrt (+ (pow 1 3) (pow (exp x) 3))))
216.0ms	(- (+ (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))) (+ (log (sqrt 2)) (* 1/2 (/ x (pow (sqrt 2) 2))))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 4))))
196.0ms	(- (+ (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))) (+ (log (sqrt 2)) (* 1/2 (/ x (pow (sqrt 2) 2))))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 4))))

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

regimes101.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch5.0ms

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.9s	2458×	body	10240	exit
868.0ms	8373×	body	80	valid
152.0ms	272×	body	640	valid
109.0ms	113×	body	1280	valid
74.0ms	201×	body	320	valid
22.0ms	109×	body	160	valid