Details

sample476.0ms

Algorithm

intervals

Results

64.0ms

570×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize63.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))) 4.5)
0.1b	(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
0.4b	(* (* w r) (* w r))
0.7b	(/ 2.0 (* r r))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

0.0ms	(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))) 4.5)
40.0ms	(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
40.0ms	(* (* w r) (* w r))
16.0ms	(/ 2.0 (* r r))

series347.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))) 4.5)
98.0ms	(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
49.0ms	(* (* w r) (* w r))
48.0ms	(/ 2.0 (* r r))

simplify1.8s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
2	3695
1	629
0	238

prune991.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ 3.0 (/ 2.0 (* r r))) (fma (* (* w r) (* w r)) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) 4.5))
0.1b	(fma (* (* w r) (* w r)) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) 4.5)
0.4b	(* (* w r) (* w r))
0.7b	(/ 2.0 (* r r))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
27×	`*-un-lft-identity`
21×	`add-cbrt-cube` `add-exp-log`
17×	`pow-prod-down`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`prod-diff`
9×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `fma-neg` `pow-sqr` `pow-prod-up` `log1p-expm1-u`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `pow-plus` `diff-log` `div-exp` `fma-udef` `distribute-lft-out--`
1×	`pow2` `clear-num` `associate-/r` `sum-log` `sub-neg` `frac-2neg` `flip3--` `swap-sqr` `associate-r` `associate-l` `associate--l+` `-commutative` `div-inv` `flip--` `associate--r+` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

135.0ms	(- (+ 3.0 (/ 2.0 (* r r))) (fma (* (* w r) (* w r)) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) 4.5))
1.0ms	(fma (* (* w r) (* w r)) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) 4.5)
38.0ms	(* (* w r) (* w r))
13.0ms	(/ 2.0 (* r r))

series425.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(- (+ 3.0 (/ 2.0 (* r r))) (fma (* (* w r) (* w r)) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) 4.5))
175.0ms	(fma (* (* w r) (* w r)) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) 4.5)
57.0ms	(* (* w r) (* w r))
40.0ms	(/ 2.0 (* r r))

simplify1.6s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
2	2365
1	424
0	167

prune904.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ 3.0 (/ (/ 2.0 r) r)) (fma (* (* w r) (* w r)) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) 4.5))
0.1b	(fma (* (* w r) (* w r)) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) 4.5)
0.2b	(/ (/ 2.0 r) r)
0.4b	(* (* w r) (* w r))

rewrite381.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
67×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
54×	`add-cube-cbrt`
43×	`pow1`
21×	`add-cbrt-cube` `add-exp-log`
17×	`pow-prod-down`
13×	`associate-/l*`
12×	`prod-diff`
9×	`add-log-exp`
8×	`prod-exp` `cbrt-unprod`
5×	`div-inv` `distribute-lft-out`
4×	`expm1-log1p-u` `fma-neg` `pow-sqr` `pow-prod-up` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-/r*` `div-exp`
2×	`pow-plus` `diff-log` `fma-udef` `distribute-lft-out--`
1×	`pow2` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `swap-sqr` `associate-r` `associate-l` `associate--l+` `*-commutative` `flip--` `associate--r+` `difference-of-squares` `associate-/l/`

Counts

4 → 154

Calls

4 calls:

303.0ms	(- (+ 3.0 (/ (/ 2.0 r) r)) (fma (* (* w r) (* w r)) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) 4.5))
1.0ms	(fma (* (* w r) (* w r)) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) 4.5)
18.0ms	(/ (/ 2.0 r) r)
49.0ms	(* (* w r) (* w r))

series434.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(- (+ 3.0 (/ (/ 2.0 r) r)) (fma (* (* w r) (* w r)) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) 4.5))
161.0ms	(fma (* (* w r) (* w r)) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) 4.5)
53.0ms	(/ (/ 2.0 r) r)
53.0ms	(* (* w r) (* w r))

simplify2.1s

Counts

166 → 166

Iterations

Iter	Nodes
done	5002
2	3277
1	650
0	264

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (+ 3.0 (/ (/ 2.0 r) r)) (* (* (* w r) (* w r)) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)))) 4.5)
0.1b	(* (* (* w r) (* w r)) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)))
0.2b	(/ (/ 2.0 r) r)
0.4b	(* (* w r) (* w r))

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

90×	`add-cbrt-cube` `add-exp-log`
80×	`times-frac`
62×	`*-un-lft-identity`
61×	`add-sqr-sqrt` `pow1`
56×	`add-cube-cbrt`
52×	`prod-exp` `cbrt-unprod`
30×	`pow-prod-down`
13×	`cbrt-undiv` `div-exp` `prod-diff` `associate-/l*` `add-log-exp`
12×	`associate-r`
8×	`associate--l+`
6×	`div-inv`
5×	`diff-log`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `log1p-expm1-u`
3×	`associate-/r*` `fma-neg`
2×	`sub-neg` `pow-plus` `flip3--` `associate-l` `associate-/r/` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`associate--l-` `pow2` `clear-num` `sum-log` `frac-2neg` `swap-sqr` `associate-*r/` `distribute-lft-out` `unswap-sqr` `associate-/l/`

Counts

4 → 205

Calls

4 calls:

1.4s	(- (- (+ 3.0 (/ (/ 2.0 r) r)) (* (* (* w r) (* w r)) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)))) 4.5)
127.0ms	(* (* (* w r) (* w r)) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)))
25.0ms	(/ (/ 2.0 r) r)
42.0ms	(* (* w r) (* w r))

series497.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(- (- (+ 3.0 (/ (/ 2.0 r) r)) (* (* (* w r) (* w r)) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)))) 4.5)
182.0ms	(* (* (* w r) (* w r)) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)))
40.0ms	(/ (/ 2.0 r) r)
67.0ms	(* (* w r) (* w r))

simplify1.4s

Counts

217 → 217

Iterations

Iter	Nodes
done	5000
1	1047
0	372

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes436.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	32
1	32
0	24

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.8s

17157×

body

valid