Details

sample29.0ms

Algorithm

intervals

Results

14.0ms

316×

body

valid

simplify3.0s

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: 4.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma z (- y 1.0) 1.0)
4.1b	(* 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))

series105.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(fma z (- y 1.0) 1.0)
75.0ms	(* x (fma z (- y 1.0) 1.0))

simplify1.4s

Counts

40 → 40

Iterations

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

prune207.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.9b	(* x (* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0))))
4.4b	(cbrt (fma z (- y 1.0) 1.0))
4.4b	(cbrt (fma z (- y 1.0) 1.0))
4.4b	(cbrt (fma z (- y 1.0) 1.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `pow1` `add-exp-log`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`add-cbrt-cube`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

36.0ms	(* x (* (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))

series618.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(* x (* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0))))
129.0ms	(cbrt (fma z (- y 1.0) 1.0))
135.0ms	(cbrt (fma z (- y 1.0) 1.0))
133.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify1.8s

Counts

76 → 76

Iterations

Iter	Nodes
done	5008
3	2787
2	918
1	323
0	123

prune446.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.0b

localize35.0ms

Local error

Found 4 expressions with local error:

4.4b	(cbrt (fma z (- y 1.0) 1.0))
4.4b	(cbrt (fma z (- y 1.0) 1.0))
4.4b	(cbrt (fma z (- y 1.0) 1.0))
4.4b	(cbrt (fma z (- y 1.0) 1.0))

rewrite6.0ms

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))

series496.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (fma z (- y 1.0) 1.0))
121.0ms	(cbrt (fma z (- y 1.0) 1.0))
111.0ms	(cbrt (fma z (- y 1.0) 1.0))
137.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify2.9s

Counts

68 → 68

Iterations

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

prune424.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 4.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* x (fma z (- y 1.0) 1.0)))
4.1b	(* x (fma z (- y 1.0) 1.0))
4.1b	(* x (fma z (- y 1.0) 1.0))
4.1b	(* x (fma z (- y 1.0) 1.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

5.0ms	(cbrt (* x (fma z (- y 1.0) 1.0)))
10.0ms	(* x (fma z (- y 1.0) 1.0))
7.0ms	(* x (fma z (- y 1.0) 1.0))
11.0ms	(* x (fma z (- y 1.0) 1.0))

series428.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt (* x (fma z (- y 1.0) 1.0)))
67.0ms	(* x (fma z (- y 1.0) 1.0))
78.0ms	(* x (fma z (- y 1.0) 1.0))
70.0ms	(* x (fma z (- y 1.0) 1.0))

simplify2.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5029
3	2591
2	747
1	272
0	110

prune459.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 4.0b

regimes173.0ms

Accuracy

0% (0.1b remaining)

Error of 3.3b against oracle of 3.2b and baseline of 3.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample712.0ms

Algorithm

intervals

Results

507.0ms

10088×

body

valid