Details

sample72.0ms

Algorithm

intervals

Results

40.0ms	85×	body	10240	exit
13.0ms	264×	body	80	valid
4.0ms	7×	body	1280	valid
2.0ms	6×	body	640	valid
1.0ms	6×	body	160	valid
0.0ms	2×	body	320	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
2	21
1	14
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

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:

11.0ms	(+ 1 (exp x))
28.0ms	(- (log (+ 1 (exp x))) (* x y))
5.0ms	(log (+ 1 (exp x)))

series123.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ 1 (exp x))
51.0ms	(- (log (+ 1 (exp x))) (* x y))
63.0ms	(log (+ 1 (exp x)))

simplify2.6s

Counts

57 → 57

Iterations

Iter	Nodes
done	5025
4	4399
3	1486
2	480
1	194
0	84

prune229.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (exp x))
0.0b	(- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y))
0.7b	(log (sqrt (+ 1 (exp x))))
0.7b	(log (sqrt (+ 1 (exp x))))

rewrite146.0ms

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:

8.0ms	(+ 1 (exp x))
118.0ms	(- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y))
9.0ms	(log (sqrt (+ 1 (exp x))))
9.0ms	(log (sqrt (+ 1 (exp x))))

series452.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ 1 (exp x))
168.0ms	(- (+ (log (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x))))) (* x y))
137.0ms	(log (sqrt (+ 1 (exp x))))
133.0ms	(log (sqrt (+ 1 (exp x))))

simplify1.8s

Counts

86 → 86

Iterations

Iter	Nodes
done	5013
3	2782
2	775
1	283
0	123

prune428.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (+ (* x 1/8) 1/2)) (log 2))
0.0b	(* x (+ (* x 1/8) 1/2))
0.0b	(- (+ (* x (+ (* x 1/8) 1/2)) (log 2)) (* x y))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-+r+` `log-prod` `associate-r` `associate-l` `insert-posit16`
2×	`distribute-rgt-in` `associate-+l+` `sum-log` `distribute-lft-in` `flip3-+` `diff-log` `associate-*r/` `flip-+`
1×	`+-commutative` `sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`

Counts

3 → 55

Calls

3 calls:

24.0ms	(+ (* x (+ (* x 1/8) 1/2)) (log 2))
29.0ms	(* x (+ (* x 1/8) 1/2))
135.0ms	(- (+ (* x (+ (* x 1/8) 1/2)) (log 2)) (* x y))

series193.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (* x (+ (* x 1/8) 1/2)) (log 2))
95.0ms	(* x (+ (* x 1/8) 1/2))
57.0ms	(- (+ (* x (+ (* x 1/8) 1/2)) (log 2)) (* x y))

simplify1.3s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	1214
1	318
0	109

prune298.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (+ 1 (exp x)))
0.1b	(* (* (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y))) (- (log (+ 1 (exp x))) (* x y)))
0.6b	(* (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)))
17.8b	(cbrt (* (* (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y))) (- (log (+ 1 (exp x))) (* x y))))

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times` `flip3--` `flip--`
31×	`pow1`
30×	`associate-*l/`
26×	`cbrt-div`
24×	`*-un-lft-identity`
20×	`log-prod`
18×	`associate-*r/`
17×	`add-sqr-sqrt`
16×	`associate--l+`
14×	`add-cube-cbrt`
12×	`distribute-rgt-in` `distribute-lft-in` `add-exp-log`
11×	`add-cbrt-cube`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r`
5×	`distribute-lft-out`
4×	`sub-neg` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`log-div` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `flip3-+` `pow1/3` `rem-log-exp` `log-pow` `rem-cbrt-cube` `flip-+`

Counts

4 → 166

Calls

4 calls:

6.0ms	(log (+ 1 (exp x)))
115.0ms	(* (* (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y))) (- (log (+ 1 (exp x))) (* x y)))
76.0ms	(* (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)))
58.0ms	(cbrt (* (* (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y))) (- (log (+ 1 (exp x))) (* x y))))

series350.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(log (+ 1 (exp x)))
144.0ms	(* (* (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y))) (- (log (+ 1 (exp x))) (* x y)))
84.0ms	(* (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y)))
66.0ms	(cbrt (* (* (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp x))) (* x y))) (- (log (+ 1 (exp x))) (* x y))))

simplify2.1s

Counts

178 → 178

Iterations

Iter	Nodes
done	5005
2	2507
1	722
0	265

prune723.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.8b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.0s	2356×	body	10240	exit
650.0ms	8271×	body	80	valid
143.0ms	284×	body	640	valid
96.0ms	135×	body	1280	valid
48.0ms	192×	body	320	valid
19.0ms	130×	body	160	valid