Details

sample37.0ms

Algorithm

intervals

Results

10.0ms	272×	body	80	nan
10.0ms	264×	body	80	valid

simplify164.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	173
8	173
7	167
6	140
5	126
4	101
3	80
2	51
1	21
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma y (sqrt z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma y (sqrt z) x)

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(fma y (sqrt z) x)

simplify2.2s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
5	2844
4	746
3	237
2	104
1	48
0	25

prune85.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
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` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

1.0ms	(sqrt (fma y (sqrt z) x))
0.0ms	(fma y (sqrt z) x)
0.0ms	(fma y (sqrt z) x)
12.0ms	(* (sqrt (fma y (sqrt z) x)) (sqrt (fma y (sqrt z) x)))

series280.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(sqrt (fma y (sqrt z) x))
50.0ms	(fma y (sqrt z) x)
49.0ms	(fma y (sqrt z) x)
57.0ms	(* (sqrt (fma y (sqrt z) x)) (sqrt (fma y (sqrt z) x)))

simplify1.5s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
3	1404
2	484
1	216
0	94

prune424.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (sqrt z) x)
0.1b	(fma y (sqrt z) x)
0.2b	(* (sqrt (sqrt (fma y (sqrt z) x))) (* (sqrt (sqrt (fma y (sqrt z) x))) (sqrt (fma y (sqrt z) x))))
0.2b	(* (sqrt (sqrt (fma y (sqrt z) x))) (sqrt (fma y (sqrt z) x)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

51×	`sqrt-pow1`
50×	`pow1`
36×	`pow-prod-up`
32×	`sqrt-prod`
31×	`pow1/2`
28×	`add-sqr-sqrt`
18×	`associate-l`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
10×	`pow-prod-down`
7×	`associate-r`
6×	`pow-plus` `unswap-sqr`
4×	`expm1-log1p-u` `cube-unmult` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-unprod`
2×	`*-commutative` `fma-udef`

Counts

4 → 114

Calls

4 calls:

0.0ms	(fma y (sqrt z) x)
0.0ms	(fma y (sqrt z) x)
37.0ms	(* (sqrt (sqrt (fma y (sqrt z) x))) (* (sqrt (sqrt (fma y (sqrt z) x))) (sqrt (fma y (sqrt z) x))))
13.0ms	(* (sqrt (sqrt (fma y (sqrt z) x))) (sqrt (fma y (sqrt z) x)))

series499.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(fma y (sqrt z) x)
47.0ms	(fma y (sqrt z) x)
62.0ms	(* (sqrt (sqrt (fma y (sqrt z) x))) (* (sqrt (sqrt (fma y (sqrt z) x))) (sqrt (fma y (sqrt z) x))))
334.0ms	(* (sqrt (sqrt (fma y (sqrt z) x))) (sqrt (fma y (sqrt z) x)))

simplify1.8s

Counts

126 → 126

Iterations

Iter	Nodes
done	5018
3	2530
2	956
1	405
0	159

prune650.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (sqrt z) x)
0.1b	(fma y (sqrt z) x)
0.2b	(* (sqrt (sqrt (fma y (sqrt z) x))) (pow (sqrt (fma y (sqrt z) x)) 3/2))
0.2b	(pow (sqrt (fma y (sqrt z) x)) 3/2)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
30×	`sqrt-prod`
18×	`unpow-prod-down`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`unswap-sqr`
10×	`associate-r` `add-exp-log`
9×	`associate-l`
7×	`pow1`
6×	`add-cbrt-cube`
5×	`sqr-pow`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-pow` `prod-exp`
2×	`pow-to-exp` `sqrt-pow1` `pow1/2` `pow-exp` `pow-prod-up` `fma-udef`
1×	`*-commutative` `cbrt-unprod` `sqrt-pow2`

Counts

4 → 92

Calls

4 calls:

0.0ms	(fma y (sqrt z) x)
0.0ms	(fma y (sqrt z) x)
30.0ms	(* (sqrt (sqrt (fma y (sqrt z) x))) (pow (sqrt (fma y (sqrt z) x)) 3/2))
11.0ms	(pow (sqrt (fma y (sqrt z) x)) 3/2)

series443.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(fma y (sqrt z) x)
71.0ms	(fma y (sqrt z) x)
71.0ms	(* (sqrt (sqrt (fma y (sqrt z) x))) (pow (sqrt (fma y (sqrt z) x)) 3/2))
243.0ms	(pow (sqrt (fma y (sqrt z) x)) 3/2)

simplify2.0s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
3	2587
2	937
1	343
0	137

prune632.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes425.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

973.0ms	8553×	body	80	valid
605.0ms	8492×	body	80	nan