Details

sample20.0ms

Algorithm

intervals

Results

7.0ms	241×	body	80	valid
1.0ms	4×	body	1280	valid
1.0ms	5×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	2560	valid

simplify470.0ms

Counts

1 → 1

Iterations

Useful iterations: 5 (237.0ms)

Iter	Nodes	Cost
0	8	11
1	20	11
2	66	11
3	208	9
4	419	8
5	469	7
6	475	7
done	475	7

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 3 x z)

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:

1.0ms

(fma 3 x z)

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(fma 3 x z)

simplify5.0s

Counts

13 → 13

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	15	78
1	21	75
2	58	67
3	207	67
4	785	67
5	4817	67
done	5000	67

prune65.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 3 x) z)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

8.0ms

(+ (* 3 x) z)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(+ (* 3 x) z)

simplify2.5s

Counts

17 → 17

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	27	136
1	89	113
2	262	103
3	802	103
4	2596	102
done	5000	102

prune55.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma 3 x z))
0.1b	(fma 3 x z)
0.1b	(fma 3 x z)
0.3b	(* (sqrt (fma 3 x z)) (sqrt (fma 3 x z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

3.0ms	(sqrt (fma 3 x z))
1.0ms	(fma 3 x z)
0.0ms	(fma 3 x z)
23.0ms	(* (sqrt (fma 3 x z)) (sqrt (fma 3 x z)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(sqrt (fma 3 x z))
31.0ms	(fma 3 x z)
32.0ms	(fma 3 x z)
32.0ms	(* (sqrt (fma 3 x z)) (sqrt (fma 3 x z)))

simplify2.0s

Counts

98 → 98

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	83	1064
1	172	690
2	549	625
3	3012	598
done	5000	595

prune298.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes64.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
done	7	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

541.0ms	7397×	body	80	valid
68.0ms	184×	body	640	valid
41.0ms	172×	body	1280	valid
20.0ms	144×	body	320	valid
11.0ms	39×	body	2560	valid
7.0ms	72×	body	160	valid