Details

sample35.0ms

Algorithm

intervals

Results

11.0ms	300×	body	80	valid
8.0ms	293×	body	80	nan

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	11	12
1	26	11
2	53	11
3	101	11
4	194	11
5	290	11
6	393	11
7	540	11
8	1017	11
9	1485	11
10	1615	11
11	1621	11
done	1621	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

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×	`add-exp-log` `associate-+r+` `add-cbrt-cube` `distribute-lft-out--`
4×	`log-pow`
3×	`expm1-log1p-u` `log-prod` `flip3-+` `associate-l` `sum-log` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`associate-+l-` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

3 → 82

Calls

3 calls:

17.0ms	(+ (- 1.0 z) (log z))
9.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
41.0ms	(* y (+ (- 1.0 z) (log z)))

series312.0ms

Counts

3 → 9

Calls

3 calls:

170.0ms	(+ (- 1.0 z) (log z))
65.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
77.0ms	(* y (+ (- 1.0 z) (log z)))

simplify642.0ms

Counts

91 → 91

Iterations

Useful iterations: 2 (134.0ms)

Iter	Nodes	Cost
0	149	1029
1	416	915
2	1681	797
done	5001	797

prune238.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
0.0b	(* y (- 1.0 z))
0.2b	(+ (* y (- 1.0 z)) (* y (log z)))
0.3b	(* y (log z))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 132

Calls

4 calls:

12.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
12.0ms	(* y (- 1.0 z))
9.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms	(* y (log z))

series237.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
33.0ms	(* y (- 1.0 z))
102.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
38.0ms	(* y (log z))

simplify1.1s

Counts

144 → 144

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	231	2032
1	587	1524
2	2275	1293
done	5000	1235

prune342.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
0.3b	(* y (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod` `log-prod`
9×	`pow1`
8×	`add-exp-log` `associate-r` `add-cbrt-cube`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`associate-r/` `pow-prod-down` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3-+` `flip-+`

Counts

4 → 84

Calls

4 calls:

30.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
5.0ms	(* y (log (cbrt z)))
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series644.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
94.0ms	(* y (log (cbrt z)))
181.0ms	(cbrt z)
187.0ms	(cbrt z)

simplify513.0ms

Counts

96 → 96

Iterations

Useful iterations: done (511.0ms)

Iter	Nodes	Cost
0	137	890
1	314	834
2	1197	727
done	5000	719

prune314.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (log (cbrt z)))
0.3b	(+ (* (* 2 (log (cbrt z))) y) (* y (log (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`cbrt-prod` `add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

5.0ms	(* y (log (cbrt z)))
10.0ms	(+ (* (* 2 (log (cbrt z))) y) (* y (log (cbrt z))))
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series597.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* y (log (cbrt z)))
132.0ms	(+ (* (* 2 (log (cbrt z))) y) (* y (log (cbrt z))))
181.0ms	(cbrt z)
189.0ms	(cbrt z)

simplify779.0ms

Counts

98 → 98

Iterations

Useful iterations: done (776.0ms)

Iter	Nodes	Cost
0	125	961
1	284	878
2	1028	705
done	5000	641

prune317.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes170.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	17	14
done	17	14

end0.0ms

sample979.0ms

Algorithm

intervals

Results

345.0ms	9156×	body	80	valid
242.0ms	9113×	body	80	nan