Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

381×

body

valid

simplify10.3s

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	8	15
1	16	14
2	33	11
3	55	8
4	73	8
5	83	8
6	103	8
7	159	8
8	182	8
9	195	8
10	258	8
11	612	8
12	3473	8
done	5001	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)) (* z z))
0.0b	(+ (* x y) (* z z))
0.1b	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite72.0ms

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:

13.0ms	(+ (+ (* x y) (* z z)) (* z z))
3.0ms	(+ (* x y) (* z z))
55.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series139.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ (+ (* x y) (* z z)) (* z z))
37.0ms	(+ (* x y) (* z z))
51.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify1.6s

Counts

60 → 60

Iterations

Useful iterations: 3 (503.0ms)

Iter	Nodes	Cost
0	76	863
1	236	666
2	848	590
3	3290	522
done	5000	522

prune151.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 3 (* z z) (* x y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 3 (* z z) (* x y))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(fma 3 (* z z) (* x y))

simplify684.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	21	140
1	32	137
2	71	121
3	208	121
4	866	121
done	5000	121

prune38.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 2 (* z z) (* x y))) (cbrt (fma 2 (* z z) (* x y))))
3.0b	(cbrt (fma 2 (* z z) (* x y)))
3.0b	(cbrt (fma 2 (* z z) (* x y)))
3.0b	(cbrt (fma 2 (* z z) (* x y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (fma 2 (* z z) (* x y))) (cbrt (fma 2 (* z z) (* x y))))
0.0ms	(cbrt (fma 2 (* z z) (* x y)))
0.0ms	(cbrt (fma 2 (* z z) (* x y)))
1.0ms	(cbrt (fma 2 (* z z) (* x y)))

series496.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (cbrt (fma 2 (* z z) (* x y))) (cbrt (fma 2 (* z z) (* x y))))
123.0ms	(cbrt (fma 2 (* z z) (* x y)))
119.0ms	(cbrt (fma 2 (* z z) (* x y)))
122.0ms	(cbrt (fma 2 (* z z) (* x y)))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: 3 (416.0ms)

Iter	Nodes	Cost
0	101	1742
1	209	1617
2	597	1481
3	2515	1268
done	5000	1268

prune283.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 3 (* z z) (* x y))) (cbrt (fma 3 (* z z) (* x y))))
3.0b	(cbrt (fma 3 (* z z) (* x y)))
3.0b	(cbrt (fma 3 (* z z) (* x y)))
3.0b	(cbrt (fma 3 (* z z) (* x y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (fma 3 (* z z) (* x y))) (cbrt (fma 3 (* z z) (* x y))))
1.0ms	(cbrt (fma 3 (* z z) (* x y)))
1.0ms	(cbrt (fma 3 (* z z) (* x y)))
1.0ms	(cbrt (fma 3 (* z z) (* x y)))

series498.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (cbrt (fma 3 (* z z) (* x y))) (cbrt (fma 3 (* z z) (* x y))))
124.0ms	(cbrt (fma 3 (* z z) (* x y)))
118.0ms	(cbrt (fma 3 (* z z) (* x y)))
128.0ms	(cbrt (fma 3 (* z z) (* x y)))

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: 3 (390.0ms)

Iter	Nodes	Cost
0	100	1736
1	206	1611
2	575	1475
3	2387	1262
done	5000	1262

prune270.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes204.0ms

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	7	8
1	8	8
done	8	8

end0.0ms

sample552.0ms

Algorithm

intervals

Results

300.0ms

12147×

body

valid