Details

sample359.0ms

Algorithm

intervals

Results

86.0ms

581×

body

valid

simplify2.6s

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: 0.2b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))) 4.5)
0.0b	(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
0.3b	(* (* w r) (* w r))
0.4b	(/ 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:

1.0ms	(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)))
49.0ms	(* (* w r) (* w r))
13.0ms	(/ 2.0 (* r r))

series358.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))) 4.5)
93.0ms	(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
57.0ms	(* (* w r) (* w r))
67.0ms	(/ 2.0 (* r r))

simplify2.0s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
2	3695
1	629
0	238

prune1.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))) 4.5)
0.0b	(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
0.2b	(/ (/ 2.0 r) r)
0.3b	(* (* w r) (* w r))

rewrite125.0ms

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)))
18.0ms	(/ (/ 2.0 r) r)
45.0ms	(* (* w r) (* w r))

series324.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(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)))
43.0ms	(/ (/ 2.0 r) r)
55.0ms	(* (* w r) (* w r))

simplify2.8s

Counts

186 → 186

Iterations

Iter	Nodes
done	5000
2	4553
1	870
0	335

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
0.1b	(* (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))))
0.2b	(/ (/ 2.0 r) r)
0.3b	(* (* w r) (* w r))

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-cbrt-cube` `add-exp-log`
91×	`times-frac`
86×	`pow1`
73×	`add-sqr-sqrt`
68×	`*-un-lft-identity`
62×	`add-cube-cbrt`
59×	`prod-exp` `cbrt-unprod`
49×	`pow-prod-down`
25×	`distribute-rgt-in` `distribute-lft-in`
23×	`associate-l`
18×	`prod-diff`
13×	`associate-/l*`
9×	`cbrt-undiv` `div-exp` `associate-*r/`
6×	`sub-neg` `div-inv`
5×	`flip3--` `associate-r` `flip--`
4×	`expm1-log1p-u` `frac-times` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `-commutative` `distribute-lft-out--` `difference-of-squares`
2×	`pow-plus` `associate-*l/` `associate-/r/` `unswap-sqr`
1×	`pow2` `clear-num` `frac-2neg` `swap-sqr` `associate-/l/`

Counts

4 → 241

Calls

4 calls:

67.0ms	(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
149.0ms	(* (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))))
9.0ms	(/ (/ 2.0 r) r)
23.0ms	(* (* w r) (* w r))

series333.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
171.0ms	(* (* (* w r) (* w r)) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))))
30.0ms	(/ (/ 2.0 r) r)
58.0ms	(* (* w r) (* w r))

simplify1.3s

Counts

253 → 253

Iterations

Iter	Nodes
done	5000
1	1181
0	401

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
0.2b	(* (* w r) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))))
0.2b	(/ (/ 2.0 r) r)
0.3b	(* (* w r) (* (* w r) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))))

rewrite384.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-cbrt-cube` `add-exp-log`
91×	`times-frac`
85×	`distribute-rgt-in` `distribute-lft-in`
81×	`add-sqr-sqrt`
76×	`*-un-lft-identity`
70×	`add-cube-cbrt`
62×	`prod-exp` `cbrt-unprod`
59×	`pow1`
42×	`prod-diff`
40×	`pow-prod-down`
23×	`associate-l`
21×	`associate-*r/`
14×	`sub-neg`
13×	`associate-/l*`
10×	`cbrt-undiv` `div-exp`
7×	`flip3--` `flip--`
6×	`frac-times` `div-inv`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-l/` `*-commutative` `distribute-lft-out--` `difference-of-squares`
2×	`associate-/r/` `unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 276

Calls

4 calls:

65.0ms	(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
72.0ms	(* (* w r) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))))
16.0ms	(/ (/ 2.0 r) r)
204.0ms	(* (* w r) (* (* w r) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))))

series453.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))
172.0ms	(* (* w r) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v))))
44.0ms	(/ (/ 2.0 r) r)
166.0ms	(* (* w r) (* (* w r) (* (/ 0.125 (- 1.0 v)) (- 3.0 (* 2.0 v)))))

simplify1.4s

Counts

288 → 288

Iterations

Iter	Nodes
done	5000
1	1516
0	469

prune2.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes394.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	28
1	28
0	23

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.9s

17049×

body

valid