Details

sample611.0ms

Algorithm

intervals

Results

57.0ms	463×	body	80	valid
25.0ms	463×	pre	80	true

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
5	1806
4	455
3	122
2	41
1	19
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
58×	`*-un-lft-identity`
51×	`times-frac`
36×	`associate-r`
35×	`add-cube-cbrt`
28×	`associate-l`
18×	`difference-of-squares`
15×	`associate-/l*`
12×	`add-cbrt-cube` `add-exp-log`
9×	`unswap-sqr`
8×	`flip3--` `flip--`
7×	`pow1` `distribute-lft-out--`
6×	`associate-r/` `-commutative`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in`
3×	`associate-/r*` `difference-of-sqr-1` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-*l/` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv`

Counts

3 → 152

Calls

3 calls:

40.0ms	(* m (- 1 m))
954.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
72.0ms	(/ (* m (- 1 m)) v)

series183.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(* m (- 1 m))
48.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
65.0ms	(/ (* m (- 1 m)) v)

simplify1.9s

Counts

161 → 161

Iterations

Iter	Nodes
done	5001
2	2043
1	637
0	233

prune583.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- (* (/ m v) (- 1 m)) 1) (- 1 m))
0.1b	(* (/ m v) (- 1 m))

rewrite911.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 113

Calls

2 calls:

844.0ms	(* (- (* (/ m v) (- 1 m)) 1) (- 1 m))
63.0ms	(* (/ m v) (- 1 m))

series108.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* (- (* (/ m v) (- 1 m)) 1) (- 1 m))
56.0ms	(* (/ m v) (- 1 m))

simplify1.7s

Counts

119 → 119

Iterations

Iter	Nodes
done	5004
2	2398
1	653
0	201

prune478.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* v (+ 1 m))
0.0b	(* (- (/ (* m (- 1 (* m m))) (* v (+ 1 m))) 1) (- 1 m))
0.0b	(* m (- 1 (* m m)))
0.1b	(/ (* m (- 1 (* m m))) (* v (+ 1 m)))

rewrite4.5s

Algorithm

rewrite-expression-head

Rules

483×	`add-sqr-sqrt`
335×	`associate-r`
324×	`*-un-lft-identity` `times-frac`
162×	`difference-of-squares`
157×	`associate-l`
127×	`add-cube-cbrt`
84×	`unswap-sqr`
72×	`*-commutative`
32×	`distribute-lft-out--`
30×	`swap-sqr`
26×	`distribute-lft-out`
24×	`associate-/l*`
22×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/r*`
10×	`pow1` `associate-*r/`
8×	`flip3--` `flip--`
7×	`prod-exp` `cbrt-unprod`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`difference-of-sqr-1`
4×	`frac-times` `cbrt-undiv` `sub-neg` `div-exp` `insert-posit16` `add-log-exp`
3×	`pow-prod-down`
2×	`+-commutative` `flip3-+` `associate-*l/` `associate-/r/` `flip-+` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv`

Counts

4 → 485

Calls

4 calls:

34.0ms	(* v (+ 1 m))
4.0s	(* (- (/ (* m (- 1 (* m m))) (* v (+ 1 m))) 1) (- 1 m))
78.0ms	(* m (- 1 (* m m)))
316.0ms	(/ (* m (- 1 (* m m))) (* v (+ 1 m)))

series335.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* v (+ 1 m))
79.0ms	(* (- (/ (* m (- 1 (* m m))) (* v (+ 1 m))) 1) (- 1 m))
114.0ms	(* m (- 1 (* m m)))
92.0ms	(/ (* m (- 1 (* m m))) (* v (+ 1 m)))

simplify1.9s

Counts

497 → 497

Iterations

Iter	Nodes
done	5000
1	1981
0	576

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1 m))
0.0b	(/ (* m (- 1 m)) v)
0.1b	(* (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
0.1b	(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))

rewrite3.5s

Algorithm

rewrite-expression-head

Rules

125×	`add-sqr-sqrt`
76×	`*-un-lft-identity`
65×	`associate-l`
57×	`times-frac`
49×	`associate-r`
40×	`add-cube-cbrt`
32×	`frac-times`
26×	`difference-of-squares`
23×	`flip3--` `flip--`
18×	`add-cbrt-cube` `add-exp-log`
16×	`associate-*l/` `unswap-sqr`
15×	`associate-/l*`
14×	`associate-*r/`
13×	`pow1`
12×	`flip3-+` `flip-+`
9×	`distribute-lft-out--`
8×	`*-commutative`
6×	`distribute-rgt-in` `distribute-lft-in` `difference-of-sqr-1` `prod-exp` `cbrt-unprod`
5×	`pow-prod-down` `sqrt-prod`
4×	`sub-neg` `insert-posit16` `distribute-lft-out` `add-log-exp`
3×	`associate-/r*`
2×	`cbrt-undiv` `+-commutative` `div-exp` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv`

Counts

4 → 231

Calls

4 calls:

29.0ms	(* m (- 1 m))
56.0ms	(/ (* m (- 1 m)) v)
2.5s	(* (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
852.0ms	(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))

series302.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* m (- 1 m))
35.0ms	(/ (* m (- 1 m)) v)
109.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
88.0ms	(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))

simplify1.5s

Counts

243 → 243

Iterations

Iter	Nodes
done	5001
1	1137
0	345

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.3s	13708×	body	80	valid
881.0ms	13708×	pre	80	true