Details

sample62.0ms

Algorithm

intervals

Results

33.0ms	86×	body	10240	exit
10.0ms	272×	body	80	valid
2.0ms	5×	body	1280	valid
2.0ms	9×	body	640	valid
1.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	5
done	19	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

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

Counts

3 → 45

Calls

3 calls:

11.0ms	(- (log (+ 1.0 (exp x))) (* x y))
6.0ms	(+ 1.0 (exp x))
6.0ms	(log (+ 1.0 (exp x)))

series128.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- (log (+ 1.0 (exp x))) (* x y))
8.0ms	(+ 1.0 (exp x))
61.0ms	(log (+ 1.0 (exp x)))

simplify50.0ms

Counts

54 → 54

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	207	322
1	584	301
2	1729	298
3	5001	297
done	5001	297

prune123.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.8b	(/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
1.0b	(log (/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))
5.0b	(- (exp x) 1.0)

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

107×	`*-un-lft-identity`
54×	`times-frac`
37×	`add-sqr-sqrt`
35×	`add-cube-cbrt` `distribute-lft-out`
33×	`log-prod`
31×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `associate-/l*`
7×	`sum-cubes` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`pow-pow` `associate-/r/`
3×	`pow-unpow` `exp-prod` `flip3-+` `associate-/r*` `flip-+`
2×	`div-exp` `rem-log-exp` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `sub-neg` `log-div` `flip3--` `frac-2neg` `diff-log` `unpow3` `pow-exp` `clear-num` `log-pow` `flip--` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`

Counts

4 → 139

Calls

4 calls:

5.0ms	(pow (exp x) 3)
95.0ms	(/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
36.0ms	(log (/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))
10.0ms	(- (exp x) 1.0)

series299.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(pow (exp x) 3)
94.0ms	(/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0)))
168.0ms	(log (/ (+ (pow 1.0 3) (pow (exp x) 3)) (+ (* (exp x) (- (exp x) 1.0)) (* 1.0 1.0))))
15.0ms	(- (exp x) 1.0)

simplify78.0ms

Counts

151 → 151

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	499	2154
1	2114	2050
2	5003	2043
done	5003	2043

prune358.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0))) (* x y))
0.0b	(+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0))
0.0b	(* 0.5 (pow x 2))
7.3b	(log (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
10×	`add-exp-log` `add-log-exp`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
6×	`log-prod` `add-cbrt-cube`
5×	`pow1`
4×	`unpow-prod-down` `log-div` `unswap-sqr`
3×	`flip3-+` `associate-l` `prod-exp` `associate--l+` `sum-log` `flip-+`
2×	`associate--l-` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `associate-+r+` `flip3--` `diff-log` `rem-log-exp` `pow-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod`

Counts

4 → 71

Calls

4 calls:

26.0ms	(- (log (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0))) (* x y))
21.0ms	(+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0))
11.0ms	(* 0.5 (pow x 2))
19.0ms	(log (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(- (log (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0))) (* x y))
22.0ms	(+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0))
25.0ms	(* 0.5 (pow x 2))
81.0ms	(log (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0)))

simplify50.0ms

Counts

83 → 83

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	397	659
1	1473	611
2	5001	598
done	5001	598

prune214.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize17.0ms

Local error

Found 4 expressions with local error:

1.2b	(cbrt (log (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0))))
7.3b	(log (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0)))
7.3b	(log (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0)))
7.3b	(log (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt (log (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0))))
22.0ms	(log (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0)))
19.0ms	(log (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0)))
20.0ms	(log (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0)))

series459.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt (log (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0))))
81.0ms	(log (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0)))
82.0ms	(log (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0)))
82.0ms	(log (+ (* 0.5 (pow x 2)) (+ (* 1.0 x) 2.0)))

simplify46.0ms

Counts

66 → 66

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	407	910
1	1452	834
2	5001	789
done	5001	789

prune273.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

regimes40.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	14
1	20	14
done	20	14

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s	2581×	body	10240	exit
308.0ms	8411×	body	80	valid
71.0ms	261×	body	640	valid
67.0ms	136×	body	1280	valid
32.0ms	186×	body	320	valid
10.0ms	106×	body	160	valid