Details

sample196.0ms

Algorithm

intervals

Results

86.0ms	441×	body	80	valid
24.0ms	441×	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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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

rewrite146.0ms

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:

25.0ms	(- (/ (* m (- 1 m)) v) 1)
15.0ms	(* m (- 1 m))
17.0ms	(/ (* m (- 1 m)) v)
85.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series214.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (/ (* m (- 1 m)) v) 1)
79.0ms	(* m (- 1 m))
38.0ms	(/ (* m (- 1 m)) v)
67.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify5.6s

Counts

119 → 119

Iterations

Iter	Nodes
3	5043
2	1301
1	415
0	160

prune946.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite254.0ms

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:

51.0ms	(- (/ m (/ v (- 1 m))) 1)
8.0ms	(/ v (- 1 m))
177.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
14.0ms	(/ m (/ v (- 1 m)))

series168.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (/ m (/ v (- 1 m))) 1)
49.0ms	(/ v (- 1 m))
48.0ms	(* (- (/ m (/ v (- 1 m))) 1) (- 1 m))
41.0ms	(/ m (/ v (- 1 m)))

simplify3.4s

Counts

236 → 236

Iterations

Iter	Nodes
2	2675
1	826
0	338

prune2.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize49.0ms

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

rewrite222.0ms

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:

15.0ms	(* m (- 1 m))
13.0ms	(/ (* m (- 1 m)) v)
64.0ms	(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))
128.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* m (- 1 m))
57.0ms	(/ (* m (- 1 m)) v)
97.0ms	(* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m)))
95.0ms	(* (* (- (/ (* m (- 1 m)) v) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))

simplify2.2s

Counts

154 → 154

Iterations

Iter	Nodes
2	3651
1	819
0	246

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.0b	(* v (+ (* m m) m))
0.1b	(* (- (/ (* m (- (pow 1 3) (pow m 3))) (+ v (* v (+ (* m m) m)))) 1) (+ 1 (sqrt m)))
0.1b	(* (* (- (/ (* m (- (pow 1 3) (pow m 3))) (+ v (* v (+ (* m m) m)))) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
2.0b	(/ (* m (- (pow 1 3) (pow m 3))) (+ v (* v (+ (* m m) m))))

rewrite486.0ms

Algorithm

rewrite-expression-head

Rules

32×	`frac-times`
27×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`flip3--` `flip--`
19×	`associate-r`
18×	`add-cbrt-cube` `add-exp-log`
16×	`associate-*l/`
14×	`flip3-+` `associate-*r/` `flip-+`
13×	`pow1`
11×	`associate-l` `add-cube-cbrt`
6×	`prod-exp` `cbrt-unprod` `difference-of-squares`
5×	`pow-prod-down`
4×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `insert-posit16` `add-log-exp`
3×	`associate-/r` `times-frac` `-commutative` `distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `div-exp` `associate-/r/` `distribute-lft-out` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `distribute-lft1-in` `distribute-rgt-out` `difference-of-sqr-1` `div-inv` `associate-/l*`

Counts

4 → 141

Calls

4 calls:

43.0ms	(* v (+ (* m m) m))
168.0ms	(* (- (/ (* m (- (pow 1 3) (pow m 3))) (+ v (* v (+ (* m m) m)))) 1) (+ 1 (sqrt m)))
234.0ms	(* (* (- (/ (* m (- (pow 1 3) (pow m 3))) (+ v (* v (+ (* m m) m)))) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
34.0ms	(/ (* m (- (pow 1 3) (pow m 3))) (+ v (* v (+ (* m m) m))))

series537.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* v (+ (* m m) m))
171.0ms	(* (- (/ (* m (- (pow 1 3) (pow m 3))) (+ v (* v (+ (* m m) m)))) 1) (+ 1 (sqrt m)))
160.0ms	(* (* (- (/ (* m (- (pow 1 3) (pow m 3))) (+ v (* v (+ (* m m) m)))) 1) (+ 1 (sqrt m))) (- 1 (sqrt m)))
115.0ms	(/ (* m (- (pow 1 3) (pow m 3))) (+ v (* v (+ (* m m) m))))

simplify2.4s

Counts

153 → 153

Iterations

Iter	Nodes
2	4174
1	941
0	272

prune2.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	9
1	9
0	8

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	13819×	body	80	valid
854.0ms	13819×	pre	80	true