Details

sample95.0ms

Algorithm

intervals

Results

35.0ms	245×	body	80	nan
35.0ms	288×	body	80	valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
14	4712
13	4355
12	3979
11	3616
10	3118
9	2180
8	1453
7	986
6	673
5	394
4	198
3	93
2	51
1	25
0	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

17.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
18.0ms	(+ (- 1.0 z) (log z))
55.0ms	(* y (+ (- 1.0 z) (log z)))

series484.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
275.0ms	(+ (- 1.0 z) (log z))
118.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.3s

Counts

73 → 73

Iterations

Iter	Nodes
done	5005
2	1522
1	365
0	129

prune387.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) z)
0.0b	(+ (* x 0.5) (+ (* y (- (log z) z)) (* y 1.0)))
0.2b	(* y (- (log z) z))
0.2b	(+ (* y (- (log z) z)) (* y 1.0))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

7.0ms	(- (log z) z)
29.0ms	(+ (* x 0.5) (+ (* y (- (log z) z)) (* y 1.0)))
38.0ms	(* y (- (log z) z))
25.0ms	(+ (* y (- (log z) z)) (* y 1.0))

series543.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(- (log z) z)
70.0ms	(+ (* x 0.5) (+ (* y (- (log z) z)) (* y 1.0)))
91.0ms	(* y (- (log z) z))
118.0ms	(+ (* y (- (log z) z)) (* y 1.0))

simplify1.7s

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	2042
1	443
0	166

prune554.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (log (sqrt z)) z) 1.0)
0.2b	(+ (* (log (sqrt z)) y) (* y (+ (- (log (sqrt z)) z) 1.0)))
0.2b	(* y (+ (- (log (sqrt z)) z) 1.0))
0.3b	(* (log (sqrt z)) y)

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

38.0ms	(+ (- (log (sqrt z)) z) 1.0)
25.0ms	(+ (* (log (sqrt z)) y) (* y (+ (- (log (sqrt z)) z) 1.0)))
129.0ms	(* y (+ (- (log (sqrt z)) z) 1.0))
14.0ms	(* (log (sqrt z)) y)

series647.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(+ (- (log (sqrt z)) z) 1.0)
244.0ms	(+ (* (log (sqrt z)) y) (* y (+ (- (log (sqrt z)) z) 1.0)))
127.0ms	(* y (+ (- (log (sqrt z)) z) 1.0))
185.0ms	(* (log (sqrt z)) y)

simplify1.7s

Counts

99 → 99

Iterations

Iter	Nodes
done	5002
2	1659
1	483
0	171

prune681.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 77

Calls

4 calls:

8.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
6.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

324.0ms	(* (cbrt z) (cbrt z))
353.0ms	(cbrt z)
318.0ms	(cbrt z)
348.0ms	(cbrt z)

simplify3.4s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
4	3895
3	1039
2	380
1	138
0	63

prune537.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes266.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	12

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.6s	9151×	body	80	valid
853.0ms	9136×	body	80	nan