Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

387×

body

valid

simplify51.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (13.0ms)

Iter	Nodes	Cost
0	8	15
1	16	14
2	33	11
3	56	8
4	74	8
5	80	8
done	80	8

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* z z))
0.0b	(+ (+ (* x y) (* z z)) (* z z))
0.1b	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
7×	`fma-def`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`associate-+l+`

Counts

3 → 51

Calls

3 calls:

7.0ms	(+ (* x y) (* z z))
32.0ms	(+ (+ (* x y) (* z z)) (* z z))
120.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series140.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (* x y) (* z z))
52.0ms	(+ (+ (* x y) (* z z)) (* z z))
49.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify2.0s

Counts

60 → 60

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	76	863
1	228	666
2	839	590
3	3573	521
done	5000	521

prune143.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 2 (* z z) (* x y))
0.1b	(+ (fma 2 (* z z) (* x y)) (* z z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

0.0ms	(fma 2 (* z z) (* x y))
6.0ms	(+ (fma 2 (* z z) (* x y)) (* z z))

series92.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(fma 2 (* z z) (* x y))
55.0ms	(+ (fma 2 (* z z) (* x y)) (* z z))

simplify963.0ms

Counts

33 → 33

Iterations

Useful iterations: done (962.0ms)

Iter	Nodes	Cost
0	45	435
1	112	406
2	343	365
3	1395	318
done	5001	317

prune92.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
3.2b	(cbrt (+ (* x y) (* z z)))
3.2b	(cbrt (+ (* x y) (* z z)))
3.2b	(cbrt (+ (* x y) (* z z)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

43.0ms	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
5.0ms	(cbrt (+ (* x y) (* z z)))
5.0ms	(cbrt (+ (* x y) (* z z)))
5.0ms	(cbrt (+ (* x y) (* z z)))

series567.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
135.0ms	(cbrt (+ (* x y) (* z z)))
133.0ms	(cbrt (+ (* x y) (* z z)))
132.0ms	(cbrt (+ (* x y) (* z z)))

simplify1.5s

Counts

107 → 107

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	123	2080
1	294	1743
2	801	1616
3	1996	1454
done	5000	1422

prune369.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
3.2b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.2b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.2b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

128.0ms	(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
16.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
18.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
15.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

series611.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
144.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
148.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
145.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

simplify2.0s

Counts

107 → 107

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	134	2956
1	313	2568
2	881	1972
3	2471	1695
done	5002	1651

prune360.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes146.0ms

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	8	12
1	10	12
done	10	12

end0.0ms

sample601.0ms

Algorithm

intervals

Results

278.0ms

12177×

body

valid