Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

324×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	28
3	28
2	23
1	14
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize6.0ms

Local error

Found 1 expressions with local error:

3.9b	(* (fma y y 1.0) x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

6.0ms

(* (fma y y 1.0) x)

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(* (fma y y 1.0) x)

simplify2.4s

Counts

23 → 23

Iterations

Iter	Nodes
done	5000
3	2565
2	277
1	77
0	39

prune113.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (fma y y 1.0)) x)
0.1b	(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
3.8b	(sqrt (fma y y 1.0))
3.8b	(sqrt (fma y y 1.0))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-l`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

16.0ms	(* (sqrt (fma y y 1.0)) x)
37.0ms	(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
1.0ms	(sqrt (fma y y 1.0))
1.0ms	(sqrt (fma y y 1.0))

series371.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(* (sqrt (fma y y 1.0)) x)
58.0ms	(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
64.0ms	(sqrt (fma y y 1.0))
101.0ms	(sqrt (fma y y 1.0))

simplify756.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	1036
1	250
0	103

prune452.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 4.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) x))
3.8b	(sqrt (fma y y 1.0))
3.8b	(sqrt (fma y y 1.0))
3.8b	(sqrt (fma y y 1.0))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-prod`
13×	`add-sqr-sqrt`
12×	`pow1`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`add-cbrt-cube` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 71

Calls

4 calls:

51.0ms	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) x))
2.0ms	(sqrt (fma y y 1.0))
2.0ms	(sqrt (fma y y 1.0))
2.0ms	(sqrt (fma y y 1.0))

series714.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (sqrt (fma y y 1.0))) x))
70.0ms	(sqrt (fma y y 1.0))
95.0ms	(sqrt (fma y y 1.0))
418.0ms	(sqrt (fma y y 1.0))

simplify2.3s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
3	3721
2	782
1	228
0	93

prune539.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 4.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fabs (cbrt (fma y y 1.0))) (sqrt (cbrt (fma y y 1.0))))
3.8b	(sqrt (fma y y 1.0))
4.0b	(cbrt (fma y y 1.0))
4.0b	(cbrt (fma y y 1.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
10×	`cbrt-prod`
9×	`associate-r`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `unswap-sqr`
2×	`pow1/3`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 69

Calls

4 calls:

10.0ms	(* (fabs (cbrt (fma y y 1.0))) (sqrt (cbrt (fma y y 1.0))))
1.0ms	(sqrt (fma y y 1.0))
1.0ms	(cbrt (fma y y 1.0))
1.0ms	(cbrt (fma y y 1.0))

series868.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(* (fabs (cbrt (fma y y 1.0))) (sqrt (cbrt (fma y y 1.0))))
75.0ms	(sqrt (fma y y 1.0))
264.0ms	(cbrt (fma y y 1.0))
280.0ms	(cbrt (fma y y 1.0))

simplify830.0ms

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
2	1622
1	430
0	180

prune541.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 4.0b

regimes193.0ms

Accuracy

0% (0.1b remaining)

Error of 5.4b against oracle of 5.4b and baseline of 5.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample832.0ms

Algorithm

intervals

Results

411.0ms

10658×

body

valid