Details

sample156.0ms

Algorithm

intervals

Results

131.0ms

659×

body

valid

simplify799.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	2058
3	646
2	181
1	54
0	18

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4 (fma a (- a (* a a)) (* (+ a 3) (* b b))) (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.1b	(fma a (- a (* a a)) (* (+ a 3) (* b b)))
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.4b	(* (+ a 3) (* b b))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
2×	`associate-*l/`
1×	`flip3-+` `associate-r` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

0.0ms	(fma 4 (fma a (- a (* a a)) (* (+ a 3) (* b b))) (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.0ms	(fma a (- a (* a a)) (* (+ a 3) (* b b)))
0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
35.0ms	(* (+ a 3) (* b b))

series339.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(fma 4 (fma a (- a (* a a)) (* (+ a 3) (* b b))) (fma (fma a a (* b b)) (fma a a (* b b)) -1))
68.0ms	(fma a (- a (* a a)) (* (+ a 3) (* b b)))
82.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
46.0ms	(* (+ a 3) (* b b))

simplify1.2s

Counts

70 → 70

Iterations

Iter	Nodes
3	3199
2	758
1	238
0	105

prune902.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize76.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.4b	(* (+ a 3) (* b b))
0.4b	(* (+ a 3) (* b b))
0.4b	(* (+ a 3) (* b b))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`*-un-lft-identity`
12×	`associate-l`
10×	`add-sqr-sqrt`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt`
6×	`associate-*l/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `associate-r` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`
1×	`fma-udef`

Counts

4 → 86

Calls

4 calls:

0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
45.0ms	(* (+ a 3) (* b b))
48.0ms	(* (+ a 3) (* b b))
48.0ms	(* (+ a 3) (* b b))

series259.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
64.0ms	(* (+ a 3) (* b b))
49.0ms	(* (+ a 3) (* b b))
43.0ms	(* (+ a 3) (* b b))

simplify1.2s

Counts

98 → 98

Iterations

Iter	Nodes
3	2871
2	632
1	182
0	71

prune1.9s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize104.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.4b	(* (+ a 3) (* b b))
0.4b	(* (+ a 3) (* b b))
0.4b	(* (+ a 3) (* b b))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`*-un-lft-identity`
12×	`associate-l`
10×	`add-sqr-sqrt`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt`
6×	`associate-*l/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `associate-r` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`
1×	`fma-udef`

Counts

4 → 86

Calls

4 calls:

0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
33.0ms	(* (+ a 3) (* b b))
23.0ms	(* (+ a 3) (* b b))
50.0ms	(* (+ a 3) (* b b))

series316.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
72.0ms	(* (+ a 3) (* b b))
61.0ms	(* (+ a 3) (* b b))
63.0ms	(* (+ a 3) (* b b))

simplify1.1s

Counts

98 → 98

Iterations

Iter	Nodes
3	2871
2	632
1	182
0	71

prune2.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize107.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (+ a 3) (* b b))
0.4b	(* (+ a 3) (* b b))
2.1b	(log1p (fma (fma a a (* b b)) (fma a a (* b b)) -1))
2.4b	(expm1 (log1p (fma (fma a a (* b b)) (fma a a (* b b)) -1)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `associate-l`
6×	`pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
5×	`expm1-log1p-u`
4×	`associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `associate-r` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`
1×	`log1p-udef` `expm1-log1p` `log1p-expm1` `expm1-udef`

Counts

4 → 74

Calls

4 calls:

23.0ms	(* (+ a 3) (* b b))
48.0ms	(* (+ a 3) (* b b))
1.0ms	(log1p (fma (fma a a (* b b)) (fma a a (* b b)) -1))
1.0ms	(expm1 (log1p (fma (fma a a (* b b)) (fma a a (* b b)) -1)))

series426.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (+ a 3) (* b b))
53.0ms	(* (+ a 3) (* b b))
131.0ms	(log1p (fma (fma a a (* b b)) (fma a a (* b b)) -1))
166.0ms	(expm1 (log1p (fma (fma a a (* b b)) (fma a a (* b b)) -1)))

simplify1.0s

Counts

86 → 86

Iterations

Iter	Nodes
3	2484
2	614
1	215
0	89

prune2.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.2b

regimes238.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	20
1	20
0	17

end0.0ms

sample4.8s

Algorithm

intervals

Results

4.4s

20389×

body

valid