Details

sample51.0ms

Algorithm

intervals

Results

20.0ms	288×	body	80	valid
15.0ms	245×	body	80	nan

simplify3.6s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize44.0ms

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)))

rewrite389.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

269.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
28.0ms	(+ (- 1.0 z) (log z))
90.0ms	(* y (+ (- 1.0 z) (log z)))

series567.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
308.0ms	(+ (- 1.0 z) (log z))
140.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5011
2	1580
1	434
0	156

prune456.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite427.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
32×	`associate-+r+`
28×	`distribute-lft-out`
24×	`associate-l`
21×	`add-sqr-sqrt` `log-prod` `associate--l+`
15×	`distribute-rgt-in` `distribute-lft-in` `add-cube-cbrt`
14×	`add-log-exp`
12×	`associate-r`
9×	`pow1`
7×	`sub-neg`
6×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--`
4×	`sum-log` `insert-posit16`
3×	`+-commutative` `log-pow` `*-commutative`
2×	`flip3-+` `flip3--` `diff-log` `associate-*r/` `flip-+` `flip--` `difference-of-squares`
1×	`distribute-rgt-out` `pow-prod-down` `prod-exp` `cbrt-unprod` `unswap-sqr`

Counts

4 → 122

Calls

4 calls:

9.0ms	(- (log z) z)
277.0ms	(+ (* x 0.5) (+ (* y 1.0) (* y (- (log z) z))))
26.0ms	(* y (- (log z) z))
112.0ms	(+ (* y 1.0) (* y (- (log z) z)))

series641.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(- (log z) z)
108.0ms	(+ (* x 0.5) (+ (* y 1.0) (* y (- (log z) z))))
139.0ms	(* y (- (log z) z))
134.0ms	(+ (* y 1.0) (* y (- (log z) z)))

simplify1.7s

Counts

134 → 134

Iterations

Iter	Nodes
done	5003
2	1664
1	501
0	182

prune595.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite561.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

15.0ms	(+ (log z) 1.0)
325.0ms	(+ (* x 0.5) (* y (- (+ (log z) 1.0) z)))
46.0ms	(- (+ (log z) 1.0) z)
169.0ms	(* y (- (+ (log z) 1.0) z))

series738.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(+ (log z) 1.0)
118.0ms	(+ (* x 0.5) (* y (- (+ (log z) 1.0) z)))
267.0ms	(- (+ (log z) 1.0) z)
146.0ms	(* y (- (+ (log z) 1.0) z))

simplify1.4s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	1477
1	472
0	181

prune557.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize47.0ms

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)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

21.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

364.0ms	(* (cbrt z) (cbrt z))
298.0ms	(cbrt z)
338.0ms	(cbrt z)
287.0ms	(cbrt z)

simplify3.5s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
4	4512
3	1200
2	427
1	151
0	66

prune510.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes216.0ms

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

sample3.1s

Algorithm

intervals

Results

1.3s	9136×	body	80	nan
1.1s	9151×	body	80	valid