Details

sample119.0ms

Algorithm

intervals

Results

58.0ms	62×	body	10240	exit
21.0ms	271×	body	80	valid
4.0ms	5×	body	1280	valid
4.0ms	8×	body	640	valid
3.0ms	8×	body	320	valid
1.0ms	4×	body	160	valid

simplify13.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	12
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.5b	(log (+ 1.0 (exp x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
4×	`log-prod` `add-log-exp`
3×	`add-sqr-sqrt` `pow1` `add-exp-log` `add-cube-cbrt`
2×	`log-div` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
1×	`+-commutative` `sum-log` `rem-log-exp` `log-pow`

Counts

2 → 27

Calls

2 calls:

10.0ms	(+ 1.0 (exp x))
8.0ms	(log (+ 1.0 (exp x)))

series148.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ 1.0 (exp x))
134.0ms	(log (+ 1.0 (exp x)))

simplify2.1s

Counts

33 → 33

Iterations

Iter	Nodes
done	5001
4	1946
3	785
2	306
1	132
0	61

prune186.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b	(log (+ 1.0 (exp x)))
0.5b	(log (+ 1.0 (exp x)))
0.7b	(cbrt (* (* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x)))) (log (+ 1.0 (exp x)))))
0.7b	(* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
19×	`pow1`
16×	`log-prod`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
8×	`add-exp-log` `log-pow`
6×	`add-cbrt-cube` `swap-sqr`
4×	`distribute-rgt-in` `log-div` `distribute-lft-in` `associate-r` `associate-l` `distribute-lft-out` `add-log-exp`
2×	`flip3-+` `rem-log-exp` `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 → 78

Calls

4 calls:

6.0ms	(log (+ 1.0 (exp x)))
9.0ms	(log (+ 1.0 (exp x)))
24.0ms	(cbrt (* (* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x)))) (log (+ 1.0 (exp x)))))
37.0ms	(* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x))))

series431.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(log (+ 1.0 (exp x)))
93.0ms	(log (+ 1.0 (exp x)))
117.0ms	(cbrt (* (* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x)))) (log (+ 1.0 (exp x)))))
123.0ms	(* (log (+ 1.0 (exp x))) (log (+ 1.0 (exp x))))

simplify2.2s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
4	3165
3	1200
2	527
1	235
0	98

prune438.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ (+ x 2.0) (* x (* x 1/2)))) (* x y))
0.0b	(+ (+ x 2.0) (* x (* x 1/2)))
8.3b	(log (+ (+ x 2.0) (* x (* x 1/2))))

rewrite130.0ms

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

Counts

3 → 44

Calls

3 calls:

40.0ms	(- (log (+ (+ x 2.0) (* x (* x 1/2)))) (* x y))
54.0ms	(+ (+ x 2.0) (* x (* x 1/2)))
35.0ms	(log (+ (+ x 2.0) (* x (* x 1/2))))

series207.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(- (log (+ (+ x 2.0) (* x (* x 1/2)))) (* x y))
27.0ms	(+ (+ x 2.0) (* x (* x 1/2)))
93.0ms	(log (+ (+ x 2.0) (* x (* x 1/2))))

simplify1.4s

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
2	1002
1	298
0	115

prune337.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize78.0ms

Local error

Found 4 expressions with local error:

1.2b	(cbrt (log (+ (+ x 2.0) (* x (* x 1/2)))))
8.3b	(log (+ (+ x 2.0) (* x (* x 1/2))))
8.3b	(log (+ (+ x 2.0) (* x (* x 1/2))))
8.3b	(log (+ (+ x 2.0) (* x (* x 1/2))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt (log (+ (+ x 2.0) (* x (* x 1/2)))))
27.0ms	(log (+ (+ x 2.0) (* x (* x 1/2))))
18.0ms	(log (+ (+ x 2.0) (* x (* x 1/2))))
37.0ms	(log (+ (+ x 2.0) (* x (* x 1/2))))

series448.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(cbrt (log (+ (+ x 2.0) (* x (* x 1/2)))))
74.0ms	(log (+ (+ x 2.0) (* x (* x 1/2))))
75.0ms	(log (+ (+ x 2.0) (* x (* x 1/2))))
62.0ms	(log (+ (+ x 2.0) (* x (* x 1/2))))

simplify1.9s

Counts

66 → 66

Iterations

Iter	Nodes
done	5004
2	1169
1	358
0	137

prune596.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes135.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b 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	2391×	body	10240	exit
686.0ms	8401×	body	80	valid
113.0ms	264×	body	640	valid
90.0ms	117×	body	1280	valid
80.0ms	201×	body	320	valid
21.0ms	128×	body	160	valid