Details

sample107.0ms

Algorithm

intervals

Results

10.0ms

348×

body

valid

simplify30.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	15	6
3	16	6
done	16	6

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (* y z) z))
0.2b	(* (* y z) z)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`fma-def` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 36

Calls

2 calls:

12.0ms	(+ x (* (* y z) z))
70.0ms	(* (* y z) z)

series127.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(+ x (* (* y z) z))
51.0ms	(* (* y z) z)

simplify3.5s

Counts

42 → 42

Iterations

Useful iterations: 3 (964.0ms)

Iter	Nodes	Cost
0	62	345
1	166	306
2	599	273
3	1828	270
done	5001	270

prune143.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (pow z 2) y))
12.6b	(* (pow z 2) y)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`associate-l`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`fma-def` `associate-r` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 45

Calls

2 calls:

6.0ms	(+ x (* (pow z 2) y))
18.0ms	(* (pow z 2) y)

series73.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ x (* (pow z 2) y))
21.0ms	(* (pow z 2) y)

simplify2.9s

Counts

51 → 51

Iterations

Useful iterations: 3 (850.0ms)

Iter	Nodes	Cost
0	74	417
1	173	365
2	509	326
3	1845	325
done	5000	325

prune188.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)
3.9b	(* (pow (* (cbrt z) (cbrt z)) 2) (* (pow (cbrt z) 2) y))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log`
32×	`prod-exp`
12×	`pow-exp`
9×	`cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `pow-to-exp` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `cbrt-unprod`
1×	`unpow-prod-down` `associate-r` `*-commutative` `unpow2` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)
58.0ms	(* (pow (* (cbrt z) (cbrt z)) 2) (* (pow (cbrt z) 2) y))

series966.0ms

Counts

4 → 12

Calls

4 calls:

315.0ms	(cbrt z)
295.0ms	(cbrt z)
280.0ms	(cbrt z)
76.0ms	(* (pow (* (cbrt z) (cbrt z)) 2) (* (pow (cbrt z) 2) y))

simplify3.1s

Counts

86 → 86

Iterations

Useful iterations: 3 (928.0ms)

Iter	Nodes	Cost
0	84	863
1	191	661
2	541	477
3	2650	404
done	5000	404

prune379.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

3.9b	(* (* (cbrt (pow z 2)) (cbrt (pow z 2))) (* (cbrt (pow z 2)) y))
26.7b	(cbrt (pow z 2))
26.7b	(cbrt (pow z 2))
26.7b	(cbrt (pow z 2))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
16×	`pow1` `add-exp-log`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`unpow-prod-down`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `unpow2` `sqr-pow`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 78

Calls

4 calls:

121.0ms	(* (* (cbrt (pow z 2)) (cbrt (pow z 2))) (* (cbrt (pow z 2)) y))
4.0ms	(cbrt (pow z 2))
4.0ms	(cbrt (pow z 2))
4.0ms	(cbrt (pow z 2))

series852.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* (cbrt (pow z 2)) (cbrt (pow z 2))) (* (cbrt (pow z 2)) y))
266.0ms	(cbrt (pow z 2))
271.0ms	(cbrt (pow z 2))
280.0ms	(cbrt (pow z 2))

simplify2.6s

Counts

90 → 90

Iterations

Useful iterations: 3 (860.0ms)

Iter	Nodes	Cost
0	75	971
1	169	918
2	537	595
3	1496	502
done	5000	502

prune222.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes175.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
done	9	7

end0.0ms

sample836.0ms

Algorithm

intervals

Results

395.0ms

10538×

body

valid