Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

329×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3328
7	2269
6	1169
5	453
4	195
3	92
2	34
1	14
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma z (- y 1.0) 1.0)
2.7b	(* x (fma z (- y 1.0) 1.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l` `fma-udef`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

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

series111.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(fma z (- y 1.0) 1.0)
76.0ms	(* x (fma z (- y 1.0) 1.0))

simplify1.2s

Counts

40 → 40

Iterations

Iter	Nodes
done	5002
3	1445
2	333
1	125
0	56

prune145.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (- y 1.0) z 1.0)
2.7b	(* x (fma (- y 1.0) z 1.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l` `fma-udef`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma (- y 1.0) z 1.0)
8.0ms	(* x (fma (- y 1.0) z 1.0))

series84.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(fma (- y 1.0) z 1.0)
51.0ms	(* x (fma (- y 1.0) z 1.0))

simplify1.4s

Counts

40 → 40

Iterations

Iter	Nodes
done	5119
3	1427
2	328
1	125
0	56

prune223.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.6b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0)))
2.9b	(cbrt (fma z (- y 1.0) 1.0))
2.9b	(cbrt (fma z (- y 1.0) 1.0))
2.9b	(cbrt (fma z (- y 1.0) 1.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `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 → 85

Calls

4 calls:

11.0ms	(* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0)))
1.0ms	(cbrt (fma z (- y 1.0) 1.0))
1.0ms	(cbrt (fma z (- y 1.0) 1.0))
1.0ms	(cbrt (fma z (- y 1.0) 1.0))

series521.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0)))
103.0ms	(cbrt (fma z (- y 1.0) 1.0))
137.0ms	(cbrt (fma z (- y 1.0) 1.0))
132.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify1.6s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
3	2121
2	804
1	309
0	122

prune502.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.6b

localize46.0ms

Local error

Found 4 expressions with local error:

2.9b	(cbrt (fma z (- y 1.0) 1.0))
2.9b	(cbrt (fma z (- y 1.0) 1.0))
2.9b	(cbrt (fma z (- y 1.0) 1.0))
2.9b	(cbrt (fma z (- y 1.0) 1.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

1.0ms	(cbrt (fma z (- y 1.0) 1.0))
1.0ms	(cbrt (fma z (- y 1.0) 1.0))
1.0ms	(cbrt (fma z (- y 1.0) 1.0))
1.0ms	(cbrt (fma z (- y 1.0) 1.0))

series529.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt (fma z (- y 1.0) 1.0))
119.0ms	(cbrt (fma z (- y 1.0) 1.0))
127.0ms	(cbrt (fma z (- y 1.0) 1.0))
121.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify2.4s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
4	2826
3	941
2	350
1	146
0	63

prune388.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.6b

regimes186.0ms

Accuracy

0% (0.0b remaining)

Error of 2.9b against oracle of 2.9b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample730.0ms

Algorithm

intervals

Results

502.0ms

10042×

body

valid