Details

sample182.0ms

Algorithm

intervals

Results

44.0ms	426×	body	80	valid
21.0ms	426×	pre	80	true

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
6	2954
5	1000
4	312
3	99
2	39
1	17
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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

rewrite157.0ms

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:

27.0ms	(- (/ (* m (- 1 m)) v) 1)
31.0ms	(* m (- 1 m))
18.0ms	(/ (* m (- 1 m)) v)
76.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series193.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (/ (* m (- 1 m)) v) 1)
54.0ms	(* m (- 1 m))
54.0ms	(/ (* m (- 1 m)) v)
51.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify4.8s

Counts

119 → 119

Iterations

Iter	Nodes
3	5043
2	1301
1	415
0	160

prune497.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 157

Calls

4 calls:

18.0ms	(/ (/ (* m (- 1 (* m m))) (+ 1 m)) v)
18.0ms	(* m (- 1 (* m m)))
170.0ms	(* (- (/ (/ (* m (- 1 (* m m))) (+ 1 m)) v) 1) (- 1 m))
36.0ms	(/ (* m (- 1 (* m m))) (+ 1 m))

series427.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(/ (/ (* m (- 1 (* m m))) (+ 1 m)) v)
105.0ms	(* m (- 1 (* m m)))
74.0ms	(* (- (/ (/ (* m (- 1 (* m m))) (+ 1 m)) v) 1) (- 1 m))
168.0ms	(/ (* m (- 1 (* m m))) (+ 1 m))

simplify3.0s

Counts

169 → 169

Iterations

Iter	Nodes
2	2549
1	707
0	264

prune741.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 142

Calls

4 calls:

16.0ms	(* m (- 1 m))
21.0ms	(/ (* m (- 1 m)) v)
123.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
61.0ms	(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* m (- 1 m))
43.0ms	(/ (* m (- 1 m)) v)
90.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
106.0ms	(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))

simplify2.8s

Counts

154 → 154

Iterations

Iter	Nodes
2	3696
1	832
0	246

prune780.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite294.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 147

Calls

4 calls:

27.0ms	(* m (- 1 (* m m)))
32.0ms	(/ (* m (- 1 (* m m))) (+ 1 m))
193.0ms	(* (- (* (/ (* m (- 1 (* m m))) (+ 1 m)) (/ 1 v)) 1) (- 1 m))
39.0ms	(* (/ (* m (- 1 (* m m))) (+ 1 m)) (/ 1 v))

series461.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* m (- 1 (* m m)))
167.0ms	(/ (* m (- 1 (* m m))) (+ 1 m))
64.0ms	(* (- (* (/ (* m (- 1 (* m m))) (+ 1 m)) (/ 1 v)) 1) (- 1 m))
99.0ms	(* (/ (* m (- 1 (* m m))) (+ 1 m)) (/ 1 v))

simplify2.5s

Counts

159 → 159

Iterations

Iter	Nodes
2	2642
1	741
0	253

prune608.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	16
1	16
0	12

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.7s	13618×	body	80	valid
597.0ms	13618×	pre	80	true