Details

sample297.0ms

Algorithm

intervals

Results

165.0ms

555×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
4	2995
3	637
2	156
1	53
0	22

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (* w r) (* w r)) (- 1 v))
0.1b	(fma (* (fma v -2 3) 0.125) (/ (* (* w r) (* w r)) (- 1 v)) 4.5)
0.3b	(/ 2 (* r r))
0.4b	(* (* w r) (* w r))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
39×	`add-cbrt-cube` `add-exp-log`
17×	`pow-prod-down` `prod-exp` `cbrt-unprod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-cube-cbrt`
7×	`cbrt-undiv` `associate-/r*` `div-exp`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp` `difference-of-squares`
2×	`clear-num` `frac-2neg` `pow-plus` `associate-/r/` `div-inv` `distribute-lft-out--`
1×	`pow2` `flip3--` `swap-sqr` `associate-r` `associate-l` `*-commutative` `fma-udef` `flip--`

Counts

4 → 110

Calls

4 calls:

70.0ms	(/ (* (* w r) (* w r)) (- 1 v))
0.0ms	(fma (* (fma v -2 3) 0.125) (/ (* (* w r) (* w r)) (- 1 v)) 4.5)
13.0ms	(/ 2 (* r r))
37.0ms	(* (* w r) (* w r))

series282.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ (* (* w r) (* w r)) (- 1 v))
125.0ms	(fma (* (fma v -2 3) 0.125) (/ (* (* w r) (* w r)) (- 1 v)) 4.5)
34.0ms	(/ 2 (* r r))
57.0ms	(* (* w r) (* w r))

simplify1.6s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	1976
1	503
0	176

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* (fma v -2 3) 0.125) (/ (* w r) (/ (- 1 v) (* w r))) 4.5)
0.2b	(/ (- 1 v) (* w r))
0.3b	(/ 2 (* r r))
0.3b	(/ (* w r) (/ (- 1 v) (* w r)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-cbrt-cube` `add-exp-log`
31×	`times-frac`
24×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`cbrt-undiv` `div-exp`
12×	`associate-/r*` `add-cube-cbrt`
10×	`associate-/l*`
8×	`difference-of-squares`
7×	`prod-exp` `cbrt-unprod`
5×	`div-inv`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `fma-udef` `flip--`

Counts

4 → 115

Calls

4 calls:

0.0ms	(fma (* (fma v -2 3) 0.125) (/ (* w r) (/ (- 1 v) (* w r))) 4.5)
16.0ms	(/ (- 1 v) (* w r))
7.0ms	(/ 2 (* r r))
46.0ms	(/ (* w r) (/ (- 1 v) (* w r)))

series241.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(fma (* (fma v -2 3) 0.125) (/ (* w r) (/ (- 1 v) (* w r))) 4.5)
27.0ms	(/ (- 1 v) (* w r))
28.0ms	(/ 2 (* r r))
71.0ms	(/ (* w r) (/ (- 1 v) (* w r)))

simplify1.6s

Counts

127 → 127

Iterations

Iter	Nodes
done	5024
2	2238
1	552
0	208

prune844.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* (fma v -2 3) 0.125) (/ (/ (* w r) (- 1 v)) (/ 1 (* w r))) 4.5)
0.2b	(/ (/ (* w r) (- 1 v)) (/ 1 (* w r)))
0.2b	(/ 1 (* w r))
0.3b	(/ 2 (* r r))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

177×	`times-frac`
98×	`add-exp-log`
74×	`add-sqr-sqrt` `*-un-lft-identity`
53×	`div-exp`
50×	`add-cbrt-cube` `add-cube-cbrt`
25×	`cbrt-undiv`
24×	`div-inv`
20×	`prod-exp`
18×	`associate-/l*`
17×	`associate-/r/`
16×	`difference-of-squares`
9×	`associate-/r*`
8×	`rec-exp` `flip3--` `1-exp` `cbrt-unprod` `flip--` `distribute-lft-out--`
7×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`pow-flip`
1×	`pow-prod-down` `fma-udef` `inv-pow` `associate-/l/`

Counts

4 → 214

Calls

4 calls:

0.0ms	(fma (* (fma v -2 3) 0.125) (/ (/ (* w r) (- 1 v)) (/ 1 (* w r))) 4.5)
45.0ms	(/ (/ (* w r) (- 1 v)) (/ 1 (* w r)))
10.0ms	(/ 1 (* w r))
6.0ms	(/ 2 (* r r))

series219.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(fma (* (fma v -2 3) 0.125) (/ (/ (* w r) (- 1 v)) (/ 1 (* w r))) 4.5)
55.0ms	(/ (/ (* w r) (- 1 v)) (/ 1 (* w r)))
11.0ms	(/ 1 (* w r))
40.0ms	(/ 2 (* r r))

simplify2.2s

Counts

226 → 226

Iterations

Iter	Nodes
done	5003
2	3384
1	1075
0	366

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* w r) (- 1 v))
0.3b	(/ 2 (* r r))
0.3b	(* (* (/ (* w r) (- 1 v)) (* 0.125 (fma v -2 3))) (* w r))
6.3b	(* (/ (* w r) (- 1 v)) (* 0.125 (fma v -2 3)))

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-cbrt-cube` `add-exp-log`
56×	`prod-exp` `cbrt-unprod`
30×	`pow1`
19×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`pow-prod-down`
16×	`cbrt-undiv` `div-exp`
15×	`times-frac`
13×	`associate-l`
10×	`add-cube-cbrt`
7×	`associate-/r*`
6×	`difference-of-squares`
4×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `associate-/r/` `fma-udef` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`associate-*l/` `div-inv` `distribute-lft-out--`
2×	`clear-num` `frac-2neg` `flip3--` `associate-r` `*-commutative` `flip--`

Counts

4 → 147

Calls

4 calls:

14.0ms	(/ (* w r) (- 1 v))
7.0ms	(/ 2 (* r r))
171.0ms	(* (* (/ (* w r) (- 1 v)) (* 0.125 (fma v -2 3))) (* w r))
70.0ms	(* (/ (* w r) (- 1 v)) (* 0.125 (fma v -2 3)))

series372.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(/ (* w r) (- 1 v))
39.0ms	(/ 2 (* r r))
130.0ms	(* (* (/ (* w r) (- 1 v)) (* 0.125 (fma v -2 3))) (* w r))
144.0ms	(* (/ (* w r) (- 1 v)) (* 0.125 (fma v -2 3)))

simplify2.1s

Counts

159 → 159

Iterations

Iter	Nodes
done	5018
2	3533
1	802
0	262

prune762.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes640.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	31
1	31
0	22

end0.0ms

sample5.1s

Algorithm

intervals

Results

4.1s

17223×

body

valid