Details

sample23.0ms

Algorithm

intervals

Results

9.0ms	319×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid

simplify50.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	19	8
2	34	8
3	56	8
4	71	8
5	72	8
done	72	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (+ y z) (* z 5.0))

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 x (+ y z) (* z 5.0))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(fma x (+ y z) (* z 5.0))

simplify702.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	22	146
1	36	140
2	81	121
3	498	121
done	5000	121

prune32.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x (+ y z) (* z 5.0))
0.1b	(sqrt (fma x (+ y z) (* z 5.0)))
0.1b	(sqrt (fma x (+ y z) (* z 5.0)))
0.2b	(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`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×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma x (+ y z) (* z 5.0))
2.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
2.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
18.0ms	(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

series320.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(fma x (+ y z) (* z 5.0))
118.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
119.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
31.0ms	(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

simplify2.1s

Counts

103 → 103

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	94	1850
1	204	1271
2	550	1139
3	2933	1082
done	5004	1046

prune332.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(fma z 5.0 (* x (+ y z)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

43.0ms	(* x (+ y z))
1.0ms	(fma z 5.0 (* x (+ y z)))

series76.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* x (+ y z))
40.0ms	(fma z 5.0 (* x (+ y z)))

simplify559.0ms

Counts

41 → 41

Iterations

Useful iterations: done (558.0ms)

Iter	Nodes	Cost
0	63	350
1	167	333
2	663	296
done	5001	294

prune91.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z x))
0.0b	(fma z 5.0 (+ (* x y) (* z x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 24

Calls

2 calls:

8.0ms	(+ (* x y) (* z x))
0.0ms	(fma z 5.0 (+ (* x y) (* z x)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (* x y) (* z x))
49.0ms	(fma z 5.0 (+ (* x y) (* z x)))

simplify2.7s

Counts

30 → 30

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	46	350
1	132	280
2	601	245
3	3355	244
done	5000	243

prune99.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes51.0ms

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	8	10
1	11	10
done	11	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

524.0ms	9825×	body	80	valid
27.0ms	134×	body	1280	valid
14.0ms	99×	body	640	valid
7.0ms	65×	body	320	valid
2.0ms	27×	body	160	valid