Details

sample785.0ms

Algorithm

intervals

Results

53.0ms	407×	body	80	valid
25.0ms	407×	pre	80	true

simplify2.2s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
13×	`add-cbrt-cube` `add-exp-log`
12×	`associate-r`
10×	`associate-l` `add-cube-cbrt`
9×	`flip3--` `flip--`
8×	`pow1` `difference-of-squares`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `insert-posit16` `distribute-lft-out--`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `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 → 107

Calls

4 calls:

29.0ms	(- (/ (* m (- 1 m)) v) 1)
32.0ms	(* m (- 1 m))
27.0ms	(/ (* m (- 1 m)) v)
73.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series193.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (/ (* m (- 1 m)) v) 1)
46.0ms	(* m (- 1 m))
51.0ms	(/ (* m (- 1 m)) v)
65.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify1.6s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	1696
1	444
0	160

prune456.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite313.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 224

Calls

4 calls:

71.0ms	(- (/ m (/ v (- 1 m))) 1)
9.0ms	(/ v (- 1 m))
19.0ms	(/ m (/ v (- 1 m)))
206.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))

series172.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (/ m (/ v (- 1 m))) 1)
45.0ms	(/ v (- 1 m))
45.0ms	(/ m (/ v (- 1 m)))
50.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))

simplify2.8s

Counts

236 → 236

Iterations

Iter	Nodes
done	5003
2	3394
1	890
0	338

prune990.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

14.0ms	(* v (+ 1 m))
42.0ms	(* m (- (* 1 1) (* m m)))
175.0ms	(* (- (/ (* m (- (* 1 1) (* m m))) (* v (+ 1 m))) 1) (- 1 m))
32.0ms	(/ (* m (- (* 1 1) (* m m))) (* v (+ 1 m)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* v (+ 1 m))
100.0ms	(* m (- (* 1 1) (* m m)))
85.0ms	(* (- (/ (* m (- (* 1 1) (* m m))) (* v (+ 1 m))) 1) (- 1 m))
68.0ms	(/ (* m (- (* 1 1) (* m m))) (* v (+ 1 m)))

simplify2.2s

Counts

126 → 126

Iterations

Iter	Nodes
done	5045
2	3199
1	610
0	196

prune500.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite738.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 130

Calls

4 calls:

17.0ms	(/ (* (- 1 (* m m)) m) (+ v (* v m)))
28.0ms	(/ (* (- 1 (* m m)) m) (+ v (* v m)))
513.0ms	(* (+ (* (- (/ (* (- 1 (* m m)) m) (+ v (* v m))) 1) (sqrt m)) (- (/ (* (- 1 (* m m)) m) (+ v (* v m))) 1)) (- 1 (sqrt m)))
177.0ms	(* (- (/ (* (- 1 (* m m)) m) (+ v (* v m))) 1) (sqrt m))

series536.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(/ (* (- 1 (* m m)) m) (+ v (* v m)))
105.0ms	(/ (* (- 1 (* m m)) m) (+ v (* v m)))
220.0ms	(* (+ (* (- (/ (* (- 1 (* m m)) m) (+ v (* v m))) 1) (sqrt m)) (- (/ (* (- 1 (* m m)) m) (+ v (* v m))) 1)) (- 1 (sqrt m)))
125.0ms	(* (- (/ (* (- 1 (* m m)) m) (+ v (* v m))) 1) (sqrt m))

simplify3.0s

Counts

142 → 142

Iterations

Iter	Nodes
done	5096
2	3607
1	822
0	245

prune875.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes103.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.3s	13528×	body	80	valid
965.0ms	13528×	pre	80	true