Details

sample106.0ms

Algorithm

intervals

Results

52.0ms	64×	body	10240	exit
20.0ms	268×	body	80	valid
5.0ms	5×	body	1280	valid
4.0ms	10×	body	640	valid
2.0ms	7×	body	320	valid
0.0ms	2×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	12
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.5b	(log (+ 1.0 (exp x)))

rewrite38.0ms

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-+` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `log-pow` `flip--`

Counts

3 → 45

Calls

3 calls:

5.0ms	(+ 1.0 (exp x))
23.0ms	(- (log (+ 1.0 (exp x))) (* x y))
9.0ms	(log (+ 1.0 (exp x)))

series178.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ 1.0 (exp x))
84.0ms	(- (log (+ 1.0 (exp x))) (* x y))
86.0ms	(log (+ 1.0 (exp x)))

simplify2.1s

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
3	3089
2	648
1	211
0	92

prune386.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize70.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (* (cbrt (- (log (+ 1.0 (exp x))) (* x y))) (cbrt (- (log (+ 1.0 (exp x))) (* x y)))) (cbrt (- (log (+ 1.0 (exp x))) (* x y))))
1.1b	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
1.1b	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
1.1b	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3--` `flip--`
28×	`frac-times`
23×	`pow1`
14×	`associate-*l/`
13×	`cbrt-prod`
12×	`pow1/3`
11×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-exp-log` `pow-prod-up` `add-cube-cbrt`
8×	`associate-*r/`
6×	`pow-plus` `associate-r`
5×	`add-cbrt-cube` `pow-prod-down`
4×	`add-log-exp`
3×	`prod-exp` `pow-sqr` `cbrt-unprod`
2×	`pow2` `unswap-sqr`
1×	`associate-l` `pow3` `*-commutative`

Counts

4 → 100

Calls

4 calls:

112.0ms	(* (* (cbrt (- (log (+ 1.0 (exp x))) (* x y))) (cbrt (- (log (+ 1.0 (exp x))) (* x y)))) (cbrt (- (log (+ 1.0 (exp x))) (* x y))))
6.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
6.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
6.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

102.0ms	(* (* (cbrt (- (log (+ 1.0 (exp x))) (* x y))) (cbrt (- (log (+ 1.0 (exp x))) (* x y)))) (cbrt (- (log (+ 1.0 (exp x))) (* x y))))
481.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
370.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))
392.0ms	(cbrt (- (log (+ 1.0 (exp x))) (* x y)))

simplify1.5s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	2093
1	482
0	187

prune686.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.4b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* (* x x) 1/2) 2.0) x)
0.0b	(- (log (+ (+ (* (* x x) 1/2) 2.0) x)) (* x y))
6.8b	(log (+ (+ (* (* x x) 1/2) 2.0) x))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

85.0ms	(+ (+ (* (* x x) 1/2) 2.0) x)
62.0ms	(- (log (+ (+ (* (* x x) 1/2) 2.0) x)) (* x y))
50.0ms	(log (+ (+ (* (* x x) 1/2) 2.0) x))

series168.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (+ (* (* x x) 1/2) 2.0) x)
87.0ms	(- (log (+ (+ (* (* x x) 1/2) 2.0) x)) (* x y))
60.0ms	(log (+ (+ (* (* x x) 1/2) 2.0) x))

simplify1.3s

Counts

56 → 56

Iterations

Iter	Nodes
done	5002
2	1196
1	286
0	114

prune332.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize53.0ms

Local error

Found 4 expressions with local error:

0.9b	(cbrt (* (* (log (+ (+ (* (* x x) 1/2) 2.0) x)) (log (+ (+ (* (* x x) 1/2) 2.0) x))) (log (+ (+ (* (* x x) 1/2) 2.0) x))))
6.8b	(log (+ (+ (* (* x x) 1/2) 2.0) x))
6.8b	(log (+ (+ (* (* x x) 1/2) 2.0) x))
6.8b	(log (+ (+ (* (* x x) 1/2) 2.0) x))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`log-prod`
7×	`add-sqr-sqrt` `pow1` `add-exp-log` `add-cube-cbrt`
6×	`log-div`
4×	`add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `log-pow` `flip-+` `distribute-lft-out`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 55

Calls

4 calls:

23.0ms	(cbrt (* (* (log (+ (+ (* (* x x) 1/2) 2.0) x)) (log (+ (+ (* (* x x) 1/2) 2.0) x))) (log (+ (+ (* (* x x) 1/2) 2.0) x))))
81.0ms	(log (+ (+ (* (* x x) 1/2) 2.0) x))
58.0ms	(log (+ (+ (* (* x x) 1/2) 2.0) x))
62.0ms	(log (+ (+ (* (* x x) 1/2) 2.0) x))

series326.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(cbrt (* (* (log (+ (+ (* (* x x) 1/2) 2.0) x)) (log (+ (+ (* (* x x) 1/2) 2.0) x))) (log (+ (+ (* (* x x) 1/2) 2.0) x))))
94.0ms	(log (+ (+ (* (* x x) 1/2) 2.0) x))
75.0ms	(log (+ (+ (* (* x x) 1/2) 2.0) x))
94.0ms	(log (+ (+ (* (* x x) 1/2) 2.0) x))

simplify2.5s

Counts

67 → 67

Iterations

Iter	Nodes
done	5001
3	3681
2	561
1	162
0	74

prune459.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

regimes162.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.1s	2402×	body	10240	exit
738.0ms	8365×	body	80	valid
136.0ms	261×	body	640	valid
104.0ms	137×	body	1280	valid
57.0ms	108×	body	160	valid
47.0ms	184×	body	320	valid