Details

sample149.0ms

Algorithm

intervals

Results

123.0ms

688×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
4	2160
3	649
2	198
1	56
0	19

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma a -3 1)
0.0b	(fma a (fma a a a) (* (fma a -3 1) (* b b)))
0.1b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.6b	(* (fma a -3 1) (* b b))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

0.0ms	(fma a -3 1)
0.0ms	(fma a (fma a a a) (* (fma a -3 1) (* b b)))
0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
28.0ms	(* (fma a -3 1) (* b b))

series278.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(fma a -3 1)
74.0ms	(fma a (fma a a a) (* (fma a -3 1) (* b b)))
92.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
68.0ms	(* (fma a -3 1) (* b b))

simplify1.0s

Counts

67 → 67

Iterations

Iter	Nodes
3	2416
2	578
1	185
0	90

prune992.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize78.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.1b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.2b	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.6b	(* (fma a -3 1) (* b b))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
16×	`cbrt-prod` `pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
11×	`add-exp-log`
9×	`add-cbrt-cube` `associate-l`
7×	`associate-r`
6×	`pow1/3` `swap-sqr`
5×	`pow-prod-down` `unswap-sqr`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-sqr` `*-commutative` `pow-prod-up` `fma-udef`
1×	`pow2` `pow-plus`

Counts

4 → 87

Calls

4 calls:

0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
8.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
14.0ms	(* (fma a -3 1) (* b b))

series505.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
89.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
254.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
71.0ms	(* (fma a -3 1) (* b b))

simplify1.3s

Counts

99 → 99

Iterations

Iter	Nodes
3	2717
2	662
1	230
0	108

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize81.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.2b	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.2b	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
0.6b	(* (fma a -3 1) (* b b))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-prod`
24×	`add-sqr-sqrt`
16×	`pow1`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`add-exp-log`
9×	`add-cbrt-cube` `associate-l`
8×	`pow1/3`
7×	`associate-r`
6×	`swap-sqr`
5×	`pow-prod-down` `unswap-sqr`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 94

Calls

4 calls:

2.0ms	(cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
21.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
7.0ms	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
28.0ms	(* (fma a -3 1) (* b b))

series809.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
253.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
274.0ms	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
64.0ms	(* (fma a -3 1) (* b b))

simplify921.0ms

Counts

106 → 106

Iterations

Iter	Nodes
3	2194
2	650
1	244
0	123

prune1.9s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.2b	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
0.2b	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
0.6b	(* (fma a -3 1) (* b b))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`cbrt-prod`
16×	`pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
11×	`add-exp-log`
9×	`add-cbrt-cube` `associate-l`
8×	`pow1/3`
7×	`associate-r`
6×	`swap-sqr`
5×	`pow-prod-down` `unswap-sqr`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 89

Calls

4 calls:

17.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
8.0ms	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
8.0ms	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
14.0ms	(* (fma a -3 1) (* b b))

series817.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
239.0ms	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
235.0ms	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
91.0ms	(* (fma a -3 1) (* b b))

simplify862.0ms

Counts

101 → 101

Iterations

Iter	Nodes
3	2063
2	594
1	218
0	105

prune2.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes298.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	15
1	15
0	14

end0.0ms

sample5.2s

Algorithm

intervals

Results

4.8s

20839×

body

valid