Details

sample176.0ms

Algorithm

intervals

Results

42.0ms	426×	body	80	valid
20.0ms	426×	pre	80	true

simplify896.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2005
5	2005
4	369
3	90
2	35
1	19
0	8

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1 m)) v) 1)
0.0b	(* m (- 1 m))
0.0b	(/ (* m (- 1 m)) v)
0.2b	(* (- (/ (* m (- 1 m)) v) 1) m)

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
13×	`add-cbrt-cube` `add-exp-log`
10×	`associate-l` `add-cube-cbrt`
9×	`associate-r`
8×	`pow1`
6×	`add-log-exp` `difference-of-squares`
4×	`flip3--` `associate-*r/` `insert-posit16` `flip--`
3×	`associate-/r*` `sub-neg` `times-frac` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `difference-of-sqr-1` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `div-inv` `associate-/l*`

Counts

4 → 94

Calls

4 calls:

28.0ms	(- (/ (* m (- 1 m)) v) 1)
21.0ms	(* m (- 1 m))
13.0ms	(/ (* m (- 1 m)) v)
97.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

series227.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ (* m (- 1 m)) v) 1)
84.0ms	(* m (- 1 m))
58.0ms	(/ (* m (- 1 m)) v)
60.0ms	(* (- (/ (* m (- 1 m)) v) 1) m)

simplify1.1s

Counts

106 → 106

Iterations

Iter	Nodes
done	2016
3	2016
2	1119
1	371
0	143

prune819.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* m (- 1 m)) (/ 1 v)) 1)
0.0b	(* m (- 1 m))
0.2b	(* (- (* (* m (- 1 m)) (/ 1 v)) 1) m)
0.3b	(* (* m (- 1 m)) (/ 1 v))

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log`
22×	`add-sqr-sqrt` `associate-r`
20×	`add-cbrt-cube`
18×	`*-un-lft-identity`
15×	`add-cube-cbrt`
14×	`prod-exp`
13×	`pow1`
9×	`times-frac`
8×	`cbrt-unprod`
7×	`associate-l` `associate-*r/`
6×	`add-log-exp`
5×	`flip3--` `pow-prod-down` `flip--`
4×	`div-exp` `associate-*l/` `insert-posit16`
3×	`sub-neg` `*-commutative`
2×	`distribute-rgt-in` `frac-times` `cbrt-undiv` `rec-exp` `distribute-lft-in` `1-exp` `difference-of-squares` `unswap-sqr`
1×	`diff-log` `un-div-inv` `div-inv` `distribute-lft-out--`

Counts

4 → 105

Calls

4 calls:

41.0ms	(- (* (* m (- 1 m)) (/ 1 v)) 1)
28.0ms	(* m (- 1 m))
161.0ms	(* (- (* (* m (- 1 m)) (/ 1 v)) 1) m)
59.0ms	(* (* m (- 1 m)) (/ 1 v))

series158.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (* (* m (- 1 m)) (/ 1 v)) 1)
65.0ms	(* m (- 1 m))
35.0ms	(* (- (* (* m (- 1 m)) (/ 1 v)) 1) m)
35.0ms	(* (* m (- 1 m)) (/ 1 v))

simplify1.2s

Counts

117 → 117

Iterations

Iter	Nodes
done	2000
3	2000
2	1364
1	471
0	173

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- 1 (* m m)) m)
0.1b	(/ (* (- 1 (* m m)) m) (+ 1 m))
0.2b	(* (- (* (/ (* (- 1 (* m m)) m) (+ 1 m)) (/ 1 v)) 1) m)
0.3b	(* (/ (* (- 1 (* m m)) m) (+ 1 m)) (/ 1 v))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
34×	`add-cbrt-cube`
31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
19×	`times-frac` `associate-r` `prod-exp` `add-cube-cbrt`
18×	`associate-l`
16×	`div-exp`
11×	`cbrt-unprod`
10×	`pow1`
9×	`cbrt-undiv`
7×	`associate-*l/`
5×	`unswap-sqr`
4×	`associate-/r*` `associate-/r/` `insert-posit16` `add-log-exp`
3×	`rec-exp` `flip3--` `1-exp` `pow-prod-down` `*-commutative` `div-inv` `flip--` `distribute-lft-out`
2×	`flip3-+` `flip-+` `difference-of-squares` `associate-/l/`
1×	`frac-times` `clear-num` `frac-2neg` `associate-r/` `un-div-inv` `associate-/l`

Counts

4 → 130

Calls

4 calls:

27.0ms	(* (- 1 (* m m)) m)
34.0ms	(/ (* (- 1 (* m m)) m) (+ 1 m))
139.0ms	(* (- (* (/ (* (- 1 (* m m)) m) (+ 1 m)) (/ 1 v)) 1) m)
33.0ms	(* (/ (* (- 1 (* m m)) m) (+ 1 m)) (/ 1 v))

series497.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (- 1 (* m m)) m)
176.0ms	(/ (* (- 1 (* m m)) m) (+ 1 m))
94.0ms	(* (- (* (/ (* (- 1 (* m m)) m) (+ 1 m)) (/ 1 v)) 1) m)
98.0ms	(* (/ (* (- 1 (* m m)) m) (+ 1 m)) (/ 1 v))

simplify1.0s

Counts

142 → 142

Iterations

Iter	Nodes
done	2006
2	2006
1	654
0	216

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1 m) m)
0.0b	(/ (* (- 1 m) m) v)
0.2b	(* (- (/ (* (- 1 m) m) v) 1) (sqrt m))
0.4b	(* (* (- (/ (* (- 1 m) m) v) 1) (sqrt m)) (sqrt m))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`add-cbrt-cube` `add-exp-log`
15×	`associate-r`
14×	`associate-l`
13×	`pow1` `add-cube-cbrt`
10×	`associate-*l/`
7×	`sqrt-prod`
6×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`flip3--` `insert-posit16` `flip--` `add-log-exp` `difference-of-squares`
3×	`associate-/r` `times-frac` `-commutative` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `associate-/l/`
1×	`clear-num` `frac-2neg` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

4 → 101

Calls

4 calls:

30.0ms	(* (- 1 m) m)
28.0ms	(/ (* (- 1 m) m) v)
90.0ms	(* (- (/ (* (- 1 m) m) v) 1) (sqrt m))
98.0ms	(* (* (- (/ (* (- 1 m) m) v) 1) (sqrt m)) (sqrt m))

series281.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (- 1 m) m)
52.0ms	(/ (* (- 1 m) m) v)
122.0ms	(* (- (/ (* (- 1 m) m) v) 1) (sqrt m))
52.0ms	(* (* (- (/ (* (- 1 m) m) v) 1) (sqrt m)) (sqrt m))

simplify1.8s

Counts

113 → 113

Iterations

Iter	Nodes
done	2002
3	2002
2	1398
1	451
0	168

prune924.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes162.0ms

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	12
1	12
0	8

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.4s	13618×	body	80	valid
621.0ms	13618×	pre	80	true