Details

sample97.0ms

Algorithm

intervals

Results

34.0ms	291×	body	80	valid
19.0ms	291×	body	80	nan

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4526
6	2495
5	1087
4	364
3	123
2	57
1	26
0	11

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

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))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`pow1` `prod-diff`
8×	`distribute-lft-out` `add-log-exp`
7×	`associate-r`
6×	`fma-def`
5×	`associate-+r+` `add-cbrt-cube` `add-exp-log` `distribute-lft-out--`
4×	`log-pow`
3×	`expm1-log1p-u` `log-prod` `sum-log` `flip3-+` `associate-l` `flip-+` `log1p-expm1-u`
2×	`distribute-rgt-in` `+-commutative` `distribute-lft-in` `associate-*r/`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

3 → 82

Calls

3 calls:

16.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
25.0ms	(+ (- 1.0 z) (log z))
90.0ms	(* y (+ (- 1.0 z) (log z)))

series383.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
215.0ms	(+ (- 1.0 z) (log z))
97.0ms	(* y (+ (- 1.0 z) (log z)))

simplify866.0ms

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1846
1	418
0	143

prune586.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- 1.0 z))
0.0b	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* (log z) y)))
0.1b	(+ (* y (- 1.0 z)) (* (log z) y))
0.3b	(* (log z) y)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
36×	`prod-diff`
34×	`*-un-lft-identity`
32×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
11×	`add-log-exp`
9×	`pow1`
8×	`add-cbrt-cube` `associate-r` `add-exp-log`
7×	`associate-l`
4×	`expm1-log1p-u` `sum-log` `sub-neg` `log1p-expm1-u`
2×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`associate-+r+` `flip3--` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 119

Calls

4 calls:

25.0ms	(* y (- 1.0 z))
34.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* (log z) y)))
28.0ms	(+ (* y (- 1.0 z)) (* (log z) y))
13.0ms	(* (log z) y)

series430.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* y (- 1.0 z))
113.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* (log z) y)))
168.0ms	(+ (* y (- 1.0 z)) (* (log z) y))
93.0ms	(* (log z) y)

simplify1.9s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	2440
1	567
0	207

prune688.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(- z (log z))
0.0b	(- 1.0 (- z (log z)))
0.1b	(fma y (- 1.0 (- z (log z))) (* x 0.5))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
42×	`prod-diff`
39×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
17×	`associate--r+`
14×	`pow1`
13×	`distribute-lft-out--`
11×	`log-pow`
8×	`add-log-exp`
6×	`fma-neg`
5×	`difference-of-squares`
4×	`diff-log`
3×	`expm1-log1p-u` `log-prod` `sub-neg` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
2×	`flip3--` `flip--`
1×	`fma-udef` `associate--r-`

Counts

3 → 100

Calls

3 calls:

6.0ms	(- z (log z))
23.0ms	(- 1.0 (- z (log z)))
1.0ms	(fma y (- 1.0 (- z (log z))) (* x 0.5))

series473.0ms

Counts

3 → 9

Calls

3 calls:

194.0ms	(- z (log z))
216.0ms	(- 1.0 (- z (log z)))
63.0ms	(fma y (- 1.0 (- z (log z))) (* x 0.5))

simplify1.6s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	1778
1	411
0	172

prune494.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (- 1.0 (- (- z (* 2 (log (cbrt z)))) (log (cbrt z)))) (* x 0.5))
0.2b	(- (- z (* 2 (log (cbrt z)))) (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`prod-diff` `add-cube-cbrt`
9×	`cbrt-prod`
8×	`pow1`
7×	`log-pow` `add-log-exp`
6×	`log-prod` `associate--r+`
5×	`pow1/3` `associate--l+`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
3×	`fma-neg` `diff-log`
2×	`sub-neg` `distribute-lft-out--`
1×	`associate--l-` `flip3--` `fma-udef` `flip--` `difference-of-squares`

Counts

4 → 84

Calls

4 calls:

0.0ms	(fma y (- 1.0 (- (- z (* 2 (log (cbrt z)))) (log (cbrt z)))) (* x 0.5))
39.0ms	(- (- z (* 2 (log (cbrt z)))) (log (cbrt z)))
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

154.0ms	(fma y (- 1.0 (- (- z (* 2 (log (cbrt z)))) (log (cbrt z)))) (* x 0.5))
480.0ms	(- (- z (* 2 (log (cbrt z)))) (log (cbrt z)))
262.0ms	(cbrt z)
287.0ms	(cbrt z)

simplify1.7s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	1555
1	361
0	155

prune640.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes269.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	12

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.3s	9204×	body	80	valid
583.0ms	9296×	body	80	nan