Details

sample162.0ms

Algorithm

intervals

Results

23.0ms	385×	body	80	valid
12.0ms	385×	pre	80	true

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	4954
9	2413
8	1377
7	866
6	573
5	353
4	164
3	65
2	32
1	16
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.0b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
39×	`prod-diff`
37×	`add-cube-cbrt`
15×	`times-frac`
13×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1` `associate-r` `associate-l`
7×	`fma-neg`
6×	`add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `associate-*r/` `log1p-expm1-u` `flip--`
3×	`associate-/r*` `sub-neg` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `associate-/l*`

Counts

4 → 139

Calls

4 calls:

34.0ms	(* m (- 1.0 m))
38.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
19.0ms	(/ (* m (- 1.0 m)) v)
103.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series214.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* m (- 1.0 m))
36.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
45.0ms	(/ (* m (- 1.0 m)) v)
63.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.5s

Counts

151 → 151

Iterations

Iter	Nodes
done	5002
2	1404
1	543
0	223

prune687.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* m 1.0) (* m m))
0.0b	(- (/ (- (* m 1.0) (* m m)) v) 1.0)
0.0b	(/ (- (* m 1.0) (* m m)) v)
0.1b	(* (- (/ (- (* m 1.0) (* m m)) v) 1.0) m)

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
67×	`*-un-lft-identity`
63×	`add-cube-cbrt`
62×	`times-frac`
49×	`prod-diff`
19×	`distribute-lft-out--`
17×	`fma-neg`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`pow1` `associate-l`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `log1p-expm1-u` `flip--` `associate-/l*` `difference-of-squares`
3×	`associate-/r` `associate-r*`
2×	`sub-neg` `diff-log` `div-sub` `associate-*l/` `associate-/l/`
1×	`associate--l-` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 160

Calls

4 calls:

8.0ms	(- (* m 1.0) (* m m))
95.0ms	(- (/ (- (* m 1.0) (* m m)) v) 1.0)
26.0ms	(/ (- (* m 1.0) (* m m)) v)
183.0ms	(* (- (/ (- (* m 1.0) (* m m)) v) 1.0) m)

series222.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- (* m 1.0) (* m m))
41.0ms	(- (/ (- (* m 1.0) (* m m)) v) 1.0)
57.0ms	(/ (- (* m 1.0) (* m m)) v)
45.0ms	(* (- (/ (- (* m 1.0) (* m m)) v) 1.0) m)

simplify1.9s

Counts

172 → 172

Iterations

Iter	Nodes
done	5000
2	1784
1	565
0	219

prune860.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (sqrt v))
0.3b	(/ m (sqrt v))
0.3b	(/ m (sqrt v))
0.3b	(* (/ m (sqrt v)) (- (/ 1.0 (sqrt v)) (/ m (sqrt v))))

rewrite608.0ms

Algorithm

rewrite-expression-head

Rules

1686×	`times-frac`
1253×	`add-sqr-sqrt`
1229×	`*-un-lft-identity`
1211×	`add-cube-cbrt`
968×	`prod-diff`
852×	`sqrt-prod`
486×	`distribute-rgt-in` `distribute-lft-in`
94×	`div-inv`
22×	`associate-r` `associate-l`
18×	`associate-/r*`
15×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
6×	`pow1`
4×	`expm1-log1p-u` `frac-times` `cbrt-undiv` `div-exp` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `unswap-sqr`
2×	`sub-neg` `flip3--` `prod-exp` `frac-sub` `cbrt-unprod` `flip--` `sub-div`
1×	`distribute-rgt-out--` `pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 1166

Calls

4 calls:

9.0ms	(/ 1.0 (sqrt v))
10.0ms	(/ m (sqrt v))
9.0ms	(/ m (sqrt v))
363.0ms	(* (/ m (sqrt v)) (- (/ 1.0 (sqrt v)) (/ m (sqrt v))))

series282.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(/ 1.0 (sqrt v))
75.0ms	(/ m (sqrt v))
46.0ms	(/ m (sqrt v))
102.0ms	(* (/ m (sqrt v)) (- (/ 1.0 (sqrt v)) (/ m (sqrt v))))

simplify5.7s

Counts

1178 → 1178

Iterations

Iter	Nodes
done	5003
1	4736
0	1449

prune6.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
0.5b	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
0.5b	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
0.5b	(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m)) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-*r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

27.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
24.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
28.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
43.0ms	(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m)) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m)))

series1.3s

Counts

4 → 12

Calls

4 calls:

375.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
315.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
312.0ms	(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
338.0ms	(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m)) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m)))

simplify2.5s

Counts

92 → 92

Iterations

Iter	Nodes
done	5003
3	2746
2	923
1	371
0	152

prune659.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes255.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample1.6s

Algorithm

intervals

Results

750.0ms	13702×	body	80	valid
368.0ms	13702×	pre	80	true