Details

sample384.0ms

Algorithm

intervals

Results

69.0ms	416×	body	80	valid
17.0ms	416×	pre	80	true

simplify8.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5016
10	4809
9	2125
8	1197
7	833
6	511
5	320
4	149
3	60
2	32
1	16
0	8

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize91.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* m (- 1.0 m)) v) 1.0)
0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`add-cbrt-cube` `add-exp-log`
10×	`add-cube-cbrt`
8×	`pow1` `associate-r` `associate-l`
6×	`add-log-exp`
4×	`flip3--` `associate-*r/` `insert-posit16` `flip--`
3×	`associate-/r*` `sub-neg` `times-frac` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `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 → 89

Calls

4 calls:

69.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
53.0ms	(* m (- 1.0 m))
48.0ms	(/ (* m (- 1.0 m)) v)
144.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series271.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
58.0ms	(* m (- 1.0 m))
74.0ms	(/ (* m (- 1.0 m)) v)
106.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify2.8s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	1108
1	360
0	142

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize160.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

171.0ms	(/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v)
96.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
192.0ms	(* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
553.0ms	(* (- (/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v) 1.0) m)

series1.4s

Counts

4 → 12

Calls

4 calls:

628.0ms	(/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v)
120.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
381.0ms	(* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
231.0ms	(* (- (/ (* (* m (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m))) v) 1.0) m)

simplify7.1s

Counts

129 → 129

Iterations

Iter	Nodes
done	5084
2	3774
1	814
0	265

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* m (/ (- 1.0 m) v)) 1.0)
0.0b	(/ (- 1.0 m) v)
0.2b	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
0.3b	(* m (/ (- 1.0 m) v))

rewrite352.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

26.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
53.0ms	(/ (- 1.0 m) v)
163.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
102.0ms	(* m (/ (- 1.0 m) v))

series231.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* m (/ (- 1.0 m) v)) 1.0)
61.0ms	(/ (- 1.0 m) v)
56.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
67.0ms	(* m (/ (- 1.0 m) v))

simplify3.0s

Counts

124 → 124

Iterations

Iter	Nodes
done	5000
2	1285
1	418
0	164

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize126.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
0.4b	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

rewrite631.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

65.0ms	(* m (- 1.0 m))
50.0ms	(/ (* m (- 1.0 m)) v)
226.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
284.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series355.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* m (- 1.0 m))
66.0ms	(/ (* m (- 1.0 m)) v)
118.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
105.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify3.7s

Counts

114 → 114

Iterations

Iter	Nodes
done	5003
2	1577
1	470
0	174

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes399.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.1s	13735×	body	80	valid
434.0ms	13735×	pre	80	true