Details

sample352.0ms

Algorithm

intervals

Results

97.0ms

541×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

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

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

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:

41.0ms	(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
0.0ms	(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))) 4.5)
29.0ms	(* (* w r) (* w r))
9.0ms	(/ 2.0 (* r r))

series360.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
181.0ms	(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))) 4.5)
42.0ms	(* (* w r) (* w r))
49.0ms	(/ 2.0 (* r r))

simplify2.0s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
2	3694
1	630
0	238

prune923.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize55.0ms

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

rewrite198.0ms

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:

164.0ms	(- (+ 3.0 (/ 2.0 (* r r))) (fma (* (* w r) (* w r)) (* 0.125 (/ (- 3.0 (* 2.0 v)) (- 1.0 v))) 4.5))
0.0ms	(fma (* (* w r) (* w r)) (* 0.125 (/ (- 3.0 (* 2.0 v)) (- 1.0 v))) 4.5)
20.0ms	(* (* w r) (* w r))
6.0ms	(/ 2.0 (* r r))

series450.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(- (+ 3.0 (/ 2.0 (* r r))) (fma (* (* w r) (* w r)) (* 0.125 (/ (- 3.0 (* 2.0 v)) (- 1.0 v))) 4.5))
191.0ms	(fma (* (* w r) (* w r)) (* 0.125 (/ (- 3.0 (* 2.0 v)) (- 1.0 v))) 4.5)
43.0ms	(* (* w r) (* w r))
33.0ms	(/ 2.0 (* r r))

simplify1.6s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
2	2380
1	427
0	167

prune858.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

localize66.0ms

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

rewrite740.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-cbrt-cube` `add-exp-log`
84×	`pow1`
58×	`prod-exp` `cbrt-unprod`
48×	`pow-prod-down`
18×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
13×	`prod-diff` `add-log-exp`
8×	`associate--l+`
7×	`cbrt-undiv` `div-exp`
5×	`diff-log`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `log1p-expm1-u`
3×	`times-frac` `fma-neg` `associate-/l*`
2×	`sub-neg` `pow-plus` `associate-r` `associate-l` `associate-r/` `-commutative`
1×	`associate--l-` `pow2` `clear-num` `associate-/r*` `sum-log` `frac-2neg` `flip3--` `swap-sqr` `div-inv` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 150

Calls

4 calls:

528.0ms	(- (- (+ 3.0 (/ 2.0 (* r r))) (* (* (* w r) (* w r)) (* 0.125 (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))) 4.5)
152.0ms	(* (* (* w r) (* w r)) (* 0.125 (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))
41.0ms	(* (* w r) (* w r))
13.0ms	(/ 2.0 (* r r))

series491.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(- (- (+ 3.0 (/ 2.0 (* r r))) (* (* (* w r) (* w r)) (* 0.125 (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))) 4.5)
187.0ms	(* (* (* w r) (* w r)) (* 0.125 (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))
54.0ms	(* (* w r) (* w r))
46.0ms	(/ 2.0 (* r r))

simplify2.6s

Counts

162 → 162

Iterations

Iter	Nodes
done	5000
2	4015
1	712
0	246

prune851.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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)
0.2b	(* (* w r) (* 0.125 (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))
0.2b	(* (* w r) (* (* w r) (* 0.125 (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))
0.6b	(/ 2.0 (* r r))

rewrite819.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-cbrt-cube` `add-exp-log`
61×	`prod-exp` `cbrt-unprod`
57×	`pow1`
39×	`pow-prod-down`
18×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
13×	`prod-diff` `add-log-exp`
8×	`cbrt-undiv` `div-exp` `associate--l+`
5×	`diff-log` `associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`times-frac` `fma-neg` `associate-/l*`
2×	`sub-neg` `associate-r` `associate-l` `*-commutative`
1×	`associate--l-` `clear-num` `associate-/r*` `sum-log` `frac-2neg` `flip3--` `div-inv` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 141

Calls

4 calls:

549.0ms	(- (- (+ 3.0 (/ 2.0 (* r r))) (* (* w r) (* (* w r) (* 0.125 (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))) 4.5)
80.0ms	(* (* w r) (* 0.125 (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))
172.0ms	(* (* w r) (* (* w r) (* 0.125 (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))
11.0ms	(/ 2.0 (* r r))

series615.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(- (- (+ 3.0 (/ 2.0 (* r r))) (* (* w r) (* (* w r) (* 0.125 (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))) 4.5)
152.0ms	(* (* w r) (* 0.125 (/ (- 3.0 (* 2.0 v)) (- 1.0 v))))
185.0ms	(* (* w r) (* (* w r) (* 0.125 (/ (- 3.0 (* 2.0 v)) (- 1.0 v)))))
41.0ms	(/ 2.0 (* r r))

simplify3.4s

Counts

153 → 153

Iterations

Iter	Nodes
done	5000
2	4982
1	789
0	262

prune813.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes471.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	27
1	27
0	21

end0.0ms

sample3.8s

Algorithm

intervals

Results

2.9s

17178×

body

valid