Details

sample154.0ms

Algorithm

intervals

Results

16.0ms	433×	body	80	valid
8.0ms	433×	pre	80	true

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1604
4	395
3	112
2	40
1	16
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 125

Calls

3 calls:

36.0ms	(* m (- 1.0 m))
18.0ms	(/ (* m (- 1.0 m)) v)
121.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series216.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(* m (- 1.0 m))
66.0ms	(/ (* m (- 1.0 m)) v)
77.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.7s

Counts

134 → 134

Iterations

Iter	Nodes
done	5002
2	3411
1	587
0	223

prune600.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (/ m v) 1.0 (/ (* m (- m)) v))
0.0b	(* (- (fma (/ m v) 1.0 (/ (* m (- m)) v)) 1.0) (- 1.0 m))
14.1b	(/ (* m (- m)) v)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube` `add-exp-log`
6×	`flip3--` `flip--`
5×	`pow1` `associate-r` `associate-l`
4×	`frac-times`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp` `associate-l/` `prod-exp` `associate-r/` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
1×	`clear-num` `frac-2neg` `pow-prod-down` `distribute-frac-neg` `-commutative` `distribute-rgt-neg-out` `fma-udef` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 88

Calls

3 calls:

1.0ms	(fma (/ m v) 1.0 (/ (* m (- m)) v))
70.0ms	(* (- (fma (/ m v) 1.0 (/ (* m (- m)) v)) 1.0) (- 1.0 m))
17.0ms	(/ (* m (- m)) v)

series138.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(fma (/ m v) 1.0 (/ (* m (- m)) v))
52.0ms	(* (- (fma (/ m v) 1.0 (/ (* m (- m)) v)) 1.0) (- 1.0 m))
30.0ms	(/ (* m (- m)) v)

simplify1.7s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	3540
1	508
0	196

prune543.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (fma (/ m v) 1.0 (/ (/ m (/ (sqrt v) (- m))) (sqrt v))) 1.0) (- 1.0 m))
0.1b	(/ m (/ (sqrt v) (- m)))
0.2b	(/ (sqrt v) (- m))
6.2b	(/ (/ m (/ (sqrt v) (- m))) (sqrt v))

rewrite581.0ms

Algorithm

rewrite-expression-head

Rules

4278×	`times-frac`
1958×	`add-sqr-sqrt`
1956×	`*-un-lft-identity`
1952×	`add-cube-cbrt`
1377×	`sqrt-prod`
471×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
206×	`associate-/l*`
157×	`neg-mul-1`
80×	`associate-/r*`
35×	`div-inv`
22×	`add-cbrt-cube` `add-exp-log`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`cbrt-undiv` `div-exp`
8×	`associate-/r/`
6×	`pow1` `flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`sub-neg` `associate-l/` `associate-r/` `distribute-lft-out--` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `associate-/l/`

Counts

4 → 1824

Calls

4 calls:

62.0ms	(* (- (fma (/ m v) 1.0 (/ (/ m (/ (sqrt v) (- m))) (sqrt v))) 1.0) (- 1.0 m))
41.0ms	(/ m (/ (sqrt v) (- m)))
14.0ms	(/ (sqrt v) (- m))
146.0ms	(/ (/ m (/ (sqrt v) (- m))) (sqrt v))

series328.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (- (fma (/ m v) 1.0 (/ (/ m (/ (sqrt v) (- m))) (sqrt v))) 1.0) (- 1.0 m))
101.0ms	(/ m (/ (sqrt v) (- m)))
88.0ms	(/ (sqrt v) (- m))
76.0ms	(/ (/ m (/ (sqrt v) (- m))) (sqrt v))

simplify1.4s

Counts

1836 → 1836

Iterations

Iter	Nodes
done	5000
0	1942

prune12.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (/ (sqrt m) 1) -1) (/ (sqrt m) (/ (sqrt v) m)))
0.2b	(/ (sqrt m) (/ (sqrt v) m))
0.2b	(/ (sqrt v) m)
6.2b	(/ (* (* (/ (sqrt m) 1) -1) (/ (sqrt m) (/ (sqrt v) m))) (sqrt v))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

522×	`times-frac`
283×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
270×	`sqrt-prod`
137×	`associate-r`
121×	`add-exp-log`
94×	`add-cbrt-cube`
53×	`div-exp`
42×	`prod-exp`
38×	`cbrt-undiv`
31×	`associate-/r*`
30×	`cbrt-unprod`
17×	`div-inv`
13×	`associate-/l*`
9×	`pow1`
6×	`1-exp` `associate-*l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down` `associate-/l/`
2×	`frac-times` `associate-*r/` `associate-/r/`
1×	`associate-l` `*-commutative`

Counts

4 → 443

Calls

4 calls:

81.0ms	(* (* (/ (sqrt m) 1) -1) (/ (sqrt m) (/ (sqrt v) m)))
20.0ms	(/ (sqrt m) (/ (sqrt v) m))
8.0ms	(/ (sqrt v) m)
60.0ms	(/ (* (* (/ (sqrt m) 1) -1) (/ (sqrt m) (/ (sqrt v) m))) (sqrt v))

series367.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* (* (/ (sqrt m) 1) -1) (/ (sqrt m) (/ (sqrt v) m)))
84.0ms	(/ (sqrt m) (/ (sqrt v) m))
113.0ms	(/ (sqrt v) m)
62.0ms	(/ (* (* (/ (sqrt m) 1) -1) (/ (sqrt m) (/ (sqrt v) m))) (sqrt v))

simplify1.1s

Counts

455 → 455

Iterations

Iter	Nodes
done	5001
1	1882
0	544

prune2.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes111.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	13

end0.0ms

sample1.7s

Algorithm

intervals

Results

765.0ms	13647×	body	80	valid
451.0ms	13647×	pre	80	true