Details

sample343.0ms

Algorithm

intervals

Results

52.0ms	435×	pre	80	true
46.0ms	435×	body	80	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
6	3605
5	1007
4	314
3	102
2	41
1	19
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 90

Calls

3 calls:

20.0ms	(* m (- 1 m))
84.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
17.0ms	(/ (* m (- 1 m)) v)

series182.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(* m (- 1 m))
60.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))
45.0ms	(/ (* m (- 1 m)) v)

simplify2.4s

Counts

99 → 99

Iterations

Iter	Nodes
3	4860
2	1242
1	405
0	150

prune825.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

62.0ms	(+ (* (- (/ (* m (- 1 m)) v) 1) 1) (* (- (/ (* m (- 1 m)) v) 1) (- m)))
30.0ms	(/ (* m (- 1 m)) v)
28.0ms	(/ (* m (- 1 m)) v)
81.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- m))

series170.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (* (- (/ (* m (- 1 m)) v) 1) 1) (* (- (/ (* m (- 1 m)) v) 1) (- m)))
43.0ms	(/ (* m (- 1 m)) v)
35.0ms	(/ (* m (- 1 m)) v)
32.0ms	(* (- (/ (* m (- 1 m)) v) 1) (- m))

simplify3.3s

Counts

112 → 112

Iterations

Iter	Nodes
3	6550
2	1606
1	500
0	168

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- (/ (* m (- 1 m)) v) 1) 1) (* (- (/ 1 (/ v (* m (- 1 m)))) 1) (- m)))
0.1b	(/ (* m (- 1 m)) v)
0.1b	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) (- m))
0.3b	(/ 1 (/ v (* m (- 1 m))))

rewrite361.0ms

Algorithm

rewrite-expression-head

Rules

48×	`times-frac`
45×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
32×	`add-exp-log`
28×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp` `associate-l`
12×	`associate-/r*`
10×	`flip3--` `associate-r` `associate-l/` `associate-r/` `flip--`
9×	`associate-/r/`
7×	`pow1` `cbrt-undiv` `div-inv`
6×	`add-log-exp` `difference-of-squares`
5×	`prod-exp`
4×	`frac-add` `insert-posit16` `associate-/l*`
3×	`distribute-lft-neg-in` `rec-exp` `distribute-rgt-neg-in` `1-exp` `difference-of-sqr-1` `distribute-rgt-neg-out` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `distribute-lft-out--` `associate-/l/`
1×	`+-commutative` `neg-mul-1` `sum-log` `flip3-+` `unsub-neg` `pow-prod-down` `*-commutative` `flip-+` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 147

Calls

4 calls:

102.0ms	(+ (* (- (/ (* m (- 1 m)) v) 1) 1) (* (- (/ 1 (/ v (* m (- 1 m)))) 1) (- m)))
15.0ms	(/ (* m (- 1 m)) v)
217.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) (- m))
24.0ms	(/ 1 (/ v (* m (- 1 m))))

series214.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (* (- (/ (* m (- 1 m)) v) 1) 1) (* (- (/ 1 (/ v (* m (- 1 m)))) 1) (- m)))
46.0ms	(/ (* m (- 1 m)) v)
52.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) (- m))
61.0ms	(/ 1 (/ v (* m (- 1 m))))

simplify1.1s

Counts

159 → 159

Iterations

Iter	Nodes
2	2760
1	804
0	286

prune1.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- (/ m (/ v (- 1 m))) 1) 1) (* (- (/ 1 (/ v (* m (- 1 m)))) 1) (- m)))
0.0b	(/ m (/ v (- 1 m)))
0.1b	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) (- m))
0.3b	(/ 1 (/ v (* m (- 1 m))))

rewrite421.0ms

Algorithm

rewrite-expression-head

Rules

189×	`times-frac`
144×	`add-sqr-sqrt`
136×	`*-un-lft-identity`
91×	`add-cube-cbrt`
33×	`associate-/r*`
32×	`add-exp-log`
30×	`difference-of-squares`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
14×	`associate-l` `distribute-lft-out--`
13×	`flip3--` `flip--`
11×	`div-inv`
10×	`associate-r` `associate-*l/`
8×	`cbrt-undiv` `associate-*r/`
7×	`pow1`
6×	`associate-/l*` `add-log-exp`
4×	`frac-add` `prod-exp` `insert-posit16`
3×	`distribute-lft-neg-in` `rec-exp` `distribute-rgt-neg-in` `1-exp` `difference-of-sqr-1` `distribute-rgt-neg-out`
2×	`clear-num` `frac-2neg` `cbrt-unprod`
1×	`+-commutative` `neg-mul-1` `sum-log` `flip3-+` `unsub-neg` `pow-prod-down` `*-commutative` `flip-+` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 238

Calls

4 calls:

181.0ms	(+ (* (- (/ m (/ v (- 1 m))) 1) 1) (* (- (/ 1 (/ v (* m (- 1 m)))) 1) (- m)))
12.0ms	(/ m (/ v (- 1 m)))
193.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) (- m))
25.0ms	(/ 1 (/ v (* m (- 1 m))))

series200.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (* (- (/ m (/ v (- 1 m))) 1) 1) (* (- (/ 1 (/ v (* m (- 1 m)))) 1) (- m)))
47.0ms	(/ m (/ v (- 1 m)))
40.0ms	(* (- (/ 1 (/ v (* m (- 1 m)))) 1) (- m))
57.0ms	(/ 1 (/ v (* m (- 1 m))))

simplify1.4s

Counts

250 → 250

Iterations

Iter	Nodes
2	4252
1	1221
0	456

prune2.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
4	28
3	28
2	27
1	23
0	15

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.8s	13624×	body	80	valid
641.0ms	13624×	pre	80	true