Details

sample179.0ms

Algorithm

intervals

Results

74.0ms

539×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3439
3	656
2	152
1	51
0	22

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.9b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* w r) (* w r))
0.6b	(/ 2.0 (* r r))
2.1b	(* (* (* w r) (* w r)) (- 3.0 (* 2.0 v)))
6.5b	(* (* (* (* w r) (* w r)) (- 3.0 (* 2.0 v))) (/ 0.125 (- 1.0 v)))

rewrite555.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-cbrt-cube` `add-exp-log`
86×	`pow1`
60×	`prod-exp` `cbrt-unprod`
49×	`pow-prod-down`
25×	`associate-r`
23×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`times-frac`
16×	`add-cube-cbrt`
8×	`cbrt-undiv` `div-exp`
7×	`associate-*r/`
4×	`flip3--` `pow-sqr` `pow-prod-up` `flip--` `add-log-exp`
3×	`associate-l` `-commutative` `associate-/l` `distribute-lft-out--` `difference-of-squares`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `pow-plus` `associate-*l/` `associate-/r/` `div-inv`
1×	`pow2` `clear-num` `associate-/r*` `frac-2neg` `swap-sqr` `unswap-sqr`

Counts

4 → 154

Calls

4 calls:

34.0ms	(* (* w r) (* w r))
7.0ms	(/ 2.0 (* r r))
104.0ms	(* (* (* w r) (* w r)) (- 3.0 (* 2.0 v)))
393.0ms	(* (* (* (* w r) (* w r)) (- 3.0 (* 2.0 v))) (/ 0.125 (- 1.0 v)))

series401.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* w r) (* w r))
49.0ms	(/ 2.0 (* r r))
138.0ms	(* (* (* w r) (* w r)) (- 3.0 (* 2.0 v)))
163.0ms	(* (* (* (* w r) (* w r)) (- 3.0 (* 2.0 v))) (/ 0.125 (- 1.0 v)))

simplify1.1s

Counts

166 → 166

Iterations

Iter	Nodes
done	5001
1	816
0	249

prune824.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* w r) (* w r))
0.6b	(/ 2.0 (* r r))
2.0b	(* (- (* 2.0 v)) (* (* w r) (* w r)))
6.5b	(* (+ (* 3.0 (* (* w r) (* w r))) (* (- (* 2.0 v)) (* (* w r) (* w r)))) (/ 0.125 (- 1.0 v)))

rewrite483.0ms

Algorithm

rewrite-expression-head

Rules

63×	`pow1`
44×	`add-cbrt-cube` `add-exp-log`
31×	`pow-prod-down`
29×	`add-sqr-sqrt`
24×	`prod-exp` `cbrt-unprod`
23×	`-un-lft-identity` `associate-r*`
19×	`times-frac`
17×	`add-cube-cbrt`
11×	`associate-l`
4×	`pow-sqr` `pow-prod-up` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `-commutative` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`frac-times` `flip3-+` `pow-plus` `associate-*l/` `associate-/r/` `flip-+` `div-inv`
1×	`distribute-lft-neg-out` `pow2` `distribute-lft-neg-in` `clear-num` `associate-/r` `neg-mul-1` `distribute-rgt-neg-in` `frac-2neg` `distribute-rgt-out` `flip3--` `swap-sqr` `associate-r/` `flip--`

Counts

4 → 132

Calls

4 calls:

41.0ms	(* (* w r) (* w r))
12.0ms	(/ 2.0 (* r r))
81.0ms	(* (- (* 2.0 v)) (* (* w r) (* w r)))
340.0ms	(* (+ (* 3.0 (* (* w r) (* w r))) (* (- (* 2.0 v)) (* (* w r) (* w r)))) (/ 0.125 (- 1.0 v)))

series456.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (* w r) (* w r))
51.0ms	(/ 2.0 (* r r))
104.0ms	(* (- (* 2.0 v)) (* (* w r) (* w r)))
246.0ms	(* (+ (* 3.0 (* (* w r) (* w r))) (* (- (* 2.0 v)) (* (* w r) (* w r)))) (/ 0.125 (- 1.0 v)))

simplify2.9s

Counts

144 → 144

Iterations

Iter	Nodes
done	5001
2	4619
1	697
0	236

prune1.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize108.0ms

Local error

Found 4 expressions with local error:

6.5b	(* (+ (* 3.0 (* (* w r) (* w r))) (* (- (* 2.0 v)) (* (* w r) (* w r)))) (/ 0.125 (- 1.0 v)))
6.5b	(* (+ (* 3.0 (* (* w r) (* w r))) (* (- (* 2.0 v)) (* (* w r) (* w r)))) (/ 0.125 (- 1.0 v)))
12.7b	(sqrt (* (+ (* 3.0 (* (* w r) (* w r))) (* (- (* 2.0 v)) (* (* w r) (* w r)))) (/ 0.125 (- 1.0 v))))
12.7b	(sqrt (* (+ (* 3.0 (* (* w r) (* w r))) (* (- (* 2.0 v)) (* (* w r) (* w r)))) (/ 0.125 (- 1.0 v))))

rewrite823.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
42×	`associate-r`
36×	`*-un-lft-identity`
32×	`times-frac`
24×	`add-cube-cbrt`
14×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`sqrt-div`
8×	`frac-times` `flip3-+` `associate-l` `associate-*l/` `flip-+`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`sqrt-pow1` `pow-prod-down` `prod-exp` `associate-*r/` `associate-/r/` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `distribute-rgt-out` `flip3--` `pow1/2` `div-exp` `*-commutative` `sqrt-prod` `div-inv` `flip--`

Counts

4 → 122

Calls

4 calls:

345.0ms	(* (+ (* 3.0 (* (* w r) (* w r))) (* (- (* 2.0 v)) (* (* w r) (* w r)))) (/ 0.125 (- 1.0 v)))
302.0ms	(* (+ (* 3.0 (* (* w r) (* w r))) (* (- (* 2.0 v)) (* (* w r) (* w r)))) (/ 0.125 (- 1.0 v)))
83.0ms	(sqrt (* (+ (* 3.0 (* (* w r) (* w r))) (* (- (* 2.0 v)) (* (* w r) (* w r)))) (/ 0.125 (- 1.0 v))))
88.0ms	(sqrt (* (+ (* 3.0 (* (* w r) (* w r))) (* (- (* 2.0 v)) (* (* w r) (* w r)))) (/ 0.125 (- 1.0 v))))

series1.3s

Counts

4 → 12

Calls

4 calls:

265.0ms	(* (+ (* 3.0 (* (* w r) (* w r))) (* (- (* 2.0 v)) (* (* w r) (* w r)))) (/ 0.125 (- 1.0 v)))
195.0ms	(* (+ (* 3.0 (* (* w r) (* w r))) (* (- (* 2.0 v)) (* (* w r) (* w r)))) (/ 0.125 (- 1.0 v)))
436.0ms	(sqrt (* (+ (* 3.0 (* (* w r) (* w r))) (* (- (* 2.0 v)) (* (* w r) (* w r)))) (/ 0.125 (- 1.0 v))))
423.0ms	(sqrt (* (+ (* 3.0 (* (* w r) (* w r))) (* (- (* 2.0 v)) (* (* w r) (* w r)))) (/ 0.125 (- 1.0 v))))

simplify2.6s

Counts

134 → 134

Iterations

Iter	Nodes
done	5000
2	3812
1	562
0	189

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* w r) (* (* w r) (- 3.0 (* 2.0 v))))
0.6b	(/ 2.0 (* r r))
1.8b	(* (* w r) (- 3.0 (* 2.0 v)))
6.5b	(* (* (* w r) (* (* w r) (- 3.0 (* 2.0 v)))) (/ 0.125 (- 1.0 v)))

rewrite372.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-cbrt-cube` `add-exp-log`
63×	`prod-exp` `cbrt-unprod`
59×	`pow1`
40×	`pow-prod-down`
25×	`associate-r`
22×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`times-frac`
16×	`add-cube-cbrt`
15×	`associate-*r/`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`cbrt-undiv` `div-exp`
6×	`sub-neg`
5×	`flip3--` `flip--`
4×	`add-log-exp`
3×	`associate-l` `-commutative` `associate-/l` `distribute-lft-out--` `difference-of-squares`
2×	`frac-times` `associate-*l/` `associate-/r/` `div-inv`
1×	`clear-num` `associate-/r*` `frac-2neg`

Counts

4 → 153

Calls

4 calls:

75.0ms	(* (* w r) (* (* w r) (- 3.0 (* 2.0 v))))
6.0ms	(/ 2.0 (* r r))
20.0ms	(* (* w r) (- 3.0 (* 2.0 v)))
258.0ms	(* (* (* w r) (* (* w r) (- 3.0 (* 2.0 v)))) (/ 0.125 (- 1.0 v)))

series361.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (* w r) (* (* w r) (- 3.0 (* 2.0 v))))
33.0ms	(/ 2.0 (* r r))
71.0ms	(* (* w r) (- 3.0 (* 2.0 v)))
152.0ms	(* (* (* w r) (* (* w r) (- 3.0 (* 2.0 v)))) (/ 0.125 (- 1.0 v)))

simplify1.3s

Counts

165 → 165

Iterations

Iter	Nodes
done	5000
1	897
0	263

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes767.0ms

Accuracy

48.7% (1.7b remaining)

Error of 1.8b against oracle of 0.1b and baseline of 3.4b

bsearch114.0ms

Steps

Iters	Range		Point
5	-1.002182974826398e+68	-3.60009764059452e+67	-5.530004232362772e+67

simplify7.0ms

Iterations

Iter	Nodes
done	43
1	43
0	34

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.8s

17108×

body

valid