Details

sample147.0ms

Algorithm

intervals

Results

44.0ms

539×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

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

prune40.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize60.0ms

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)))
0.3b	(* (* w r) (* w r))
0.6b	(/ 2.0 (* r r))

rewrite113.0ms

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)
72.0ms	(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
23.0ms	(* (* w r) (* w r))
8.0ms	(/ 2.0 (* r r))

series302.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))) 4.5)
62.0ms	(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
39.0ms	(* (* w r) (* w r))
45.0ms	(/ 2.0 (* r r))

simplify1.9s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
2	3695
1	629
0	238

prune883.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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)
0.3b	(* (* w r) (* w r))
0.6b	(/ 2.0 (* r r))

rewrite164.0ms

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:

113.0ms	(- (+ 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)
40.0ms	(* (* w r) (* w r))
6.0ms	(/ 2.0 (* r r))

series410.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(- (+ 3.0 (/ 2.0 (* r r))) (fma (* (* w r) (* w r)) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) 4.5))
141.0ms	(fma (* (* w r) (* w r)) (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) 4.5)
41.0ms	(* (* w r) (* w r))
31.0ms	(/ 2.0 (* r r))

simplify1.8s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
2	2365
1	424
0	167

prune824.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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)))
0.2b	(/ (/ 2.0 r) r)
0.3b	(* (* w r) (* w r))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 174

Calls

4 calls:

0.0ms	(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))) 4.5)
55.0ms	(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
15.0ms	(/ (/ 2.0 r) r)
33.0ms	(* (* w r) (* w r))

series336.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))) 4.5)
85.0ms	(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
33.0ms	(/ (/ 2.0 r) r)
45.0ms	(* (* w r) (* w r))

simplify2.3s

Counts

186 → 186

Iterations

Iter	Nodes
done	5000
2	4553
1	870
0	335

prune1.4s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
0.3b	(* (* w r) (* w r))
0.5b	(expm1 (log1p (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))))
0.6b	(/ 2.0 (* r r))

rewrite86.0ms

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` `expm1-log1p` `clear-num` `associate-/r` `frac-2neg` `swap-sqr` `associate-l/` `expm1-udef`

Counts

4 → 126

Calls

4 calls:

35.0ms	(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
35.0ms	(* (* w r) (* w r))
0.0ms	(expm1 (log1p (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))))
12.0ms	(/ 2.0 (* r r))

series388.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
44.0ms	(* (* w r) (* w r))
221.0ms	(expm1 (log1p (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))))
34.0ms	(/ 2.0 (* r r))

simplify2.0s

Counts

138 → 138

Iterations

Iter	Nodes
done	5001
2	3627
1	661
0	250

prune966.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes922.0ms

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	24
1	24
0	20

end0.0ms

sample3.7s

Algorithm

intervals

Results

3.1s

17108×

body

valid