Details

sample240.0ms

Algorithm

intervals

Results

114.0ms

541×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3561
3	664
2	152
1	51
0	22

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.6b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma (* w (* (* r r) w)) (* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0)) 4.5)
0.6b	(/ 2.0 (* r r))
3.2b	(* w (* (* r r) w))
8.4b	(* (* r r) w)

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-cbrt-cube` `add-exp-log`
18×	`pow1`
10×	`prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `pow-prod-down`
8×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `*-commutative`
1×	`clear-num` `associate-/r*` `frac-2neg` `fma-udef` `div-inv` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

1.0ms	(fma (* w (* (* r r) w)) (* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0)) 4.5)
12.0ms	(/ 2.0 (* r r))
67.0ms	(* w (* (* r r) w))
17.0ms	(* (* r r) w)

series287.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(fma (* w (* (* r r) w)) (* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0)) 4.5)
35.0ms	(/ 2.0 (* r r))
44.0ms	(* w (* (* r r) w))
34.0ms	(* (* r r) w)

simplify1.3s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	2269
1	319
0	122

prune726.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.4b

localize72.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0))
0.3b	(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0)) 4.5)
0.3b	(* (* w r) (* w r))
0.6b	(/ 2.0 (* r r))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
27×	`add-sqr-sqrt`
26×	`add-cbrt-cube` `add-exp-log`
22×	`-un-lft-identity` `associate-l*`
19×	`times-frac`
18×	`pow-prod-down`
16×	`add-cube-cbrt`
11×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-r` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `fma-udef` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
2×	`pow-plus` `associate-/r/` `*-commutative` `div-inv` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `flip3--` `swap-sqr` `associate-l/` `flip--`

Counts

4 → 113

Calls

4 calls:

48.0ms	(* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0))
1.0ms	(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0)) 4.5)
42.0ms	(* (* w r) (* w r))
12.0ms	(/ 2.0 (* r r))

series358.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0))
173.0ms	(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0)) 4.5)
50.0ms	(* (* w r) (* w r))
36.0ms	(/ 2.0 (* r r))

simplify1.1s

Counts

125 → 125

Iterations

Iter	Nodes
done	5001
2	2768
1	507
0	202

prune890.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0))
0.2b	(/ (/ 1 r) r)
0.3b	(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0)) 4.5)
0.3b	(* (* w r) (* w r))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

91×	`times-frac`
67×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
56×	`add-cube-cbrt`
48×	`pow1`
30×	`add-exp-log`
26×	`add-cbrt-cube`
22×	`associate-l`
18×	`pow-prod-down`
13×	`associate-/l*`
10×	`prod-exp` `cbrt-unprod`
7×	`div-exp`
6×	`div-inv`
4×	`expm1-log1p-u` `cbrt-undiv` `associate-r` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `fma-udef` `distribute-lft-out--` `difference-of-squares`
2×	`pow-plus` `associate-/r/` `*-commutative` `unswap-sqr` `pow-div`
1×	`pow2` `distribute-rgt-in` `rec-exp` `clear-num` `frac-2neg` `distribute-lft-in` `flip3--` `1-exp` `swap-sqr` `associate-*l/` `pow-flip` `flip--` `inv-pow` `associate-/l/`

Counts

4 → 166

Calls

4 calls:

24.0ms	(* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0))
9.0ms	(/ (/ 1 r) r)
0.0ms	(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0)) 4.5)
36.0ms	(* (* w r) (* w r))

series342.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0))
35.0ms	(/ (/ 1 r) r)
171.0ms	(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0)) 4.5)
60.0ms	(* (* w r) (* w r))

simplify2.0s

Counts

178 → 178

Iterations

Iter	Nodes
done	5002
2	3370
1	714
0	300

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ 3.0 (* 2.0 (pow r -2))) (fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0)) 4.5))
0.1b	(* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0))
0.3b	(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0)) 4.5)
0.3b	(* (* w r) (* w r))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
34×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
22×	`associate-l`
21×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
18×	`pow-prod-down`
16×	`times-frac`
10×	`prod-exp` `cbrt-unprod`
9×	`prod-diff` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `pow-sqr` `pow-prod-up` `fma-udef` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg`
2×	`pow-plus` `flip3--` `diff-log` `associate-/r/` `*-commutative` `flip--` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `cbrt-undiv` `sum-log` `sub-neg` `distribute-lft-in` `swap-sqr` `div-exp` `associate-*l/` `associate--l+` `div-inv` `associate--r+`

Counts

4 → 121

Calls

4 calls:

42.0ms	(- (+ 3.0 (* 2.0 (pow r -2))) (fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0)) 4.5))
28.0ms	(* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0))
0.0ms	(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0)) 4.5)
21.0ms	(* (* w r) (* w r))

series470.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(- (+ 3.0 (* 2.0 (pow r -2))) (fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0)) 4.5))
76.0ms	(* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0))
146.0ms	(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0)) 4.5)
44.0ms	(* (* w r) (* w r))

simplify1.7s

Counts

133 → 133

Iterations

Iter	Nodes
done	5001
2	2857
1	566
0	229

prune953.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes671.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	27
1	27
0	23

end0.0ms

sample3.6s

Algorithm

intervals

Results

3.0s

17178×

body

valid