Details

sample287.0ms

Algorithm

intervals

Results

10.0ms	426×	body	80	valid
6.0ms	426×	pre	80	true

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	106	13
4	305	13
5	867	13
6	2466	13
done	5000	13

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
7×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`pow1` `frac-times` `associate-*r/`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 79

Calls

2 calls:

11.0ms	(/ (* m (- 1.0 m)) v)
56.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series81.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (* m (- 1.0 m)) v)
44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify880.0ms

Counts

85 → 85

Iterations

Useful iterations: done (876.0ms)

Iter	Nodes	Cost
0	181	1897
1	437	1690
2	1660	1521
done	5000	1501

prune154.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
130×	`add-sqr-sqrt`
121×	`*-un-lft-identity`
85×	`add-cube-cbrt`
26×	`associate-/r*`
20×	`difference-of-squares`
18×	`prod-diff` `distribute-lft-out--`
12×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-/r/` `flip--`
7×	`associate-l`
6×	`div-inv` `associate-/l*`
5×	`pow1` `associate-r`
4×	`cbrt-undiv` `frac-times` `div-exp`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 199

Calls

3 calls:

5.0ms	(/ v (- 1.0 m))
9.0ms	(/ m (/ v (- 1.0 m)))
213.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series109.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ v (- 1.0 m))
40.0ms	(/ m (/ v (- 1.0 m)))
35.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify1.2s

Counts

208 → 208

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	345	3782
1	772	3443
2	2891	3227
done	5001	3209

prune421.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

148×	`add-sqr-sqrt`
114×	`times-frac`
108×	`*-un-lft-identity`
62×	`sqrt-prod`
60×	`add-cube-cbrt`
42×	`associate-/r*` `difference-of-squares`
22×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
18×	`prod-diff`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-r`
9×	`flip3--` `flip--`
8×	`pow1` `associate-l`
7×	`cbrt-undiv` `div-exp` `associate-/r/`
6×	`associate-*r/`
4×	`expm1-log1p-u` `frac-times` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
2×	`sub-neg` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip-+` `associate-/l/` `distribute-lft-out` `unswap-sqr`

Counts

4 → 225

Calls

4 calls:

22.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
11.0ms	(/ v (- (sqrt 1.0) (sqrt m)))
273.0ms	(* (- (/ (* m (+ (sqrt 1.0) (sqrt m))) (/ v (- (sqrt 1.0) (sqrt m)))) 1.0) (- 1.0 m))
23.0ms	(/ (* m (+ (sqrt 1.0) (sqrt m))) (/ v (- (sqrt 1.0) (sqrt m))))

series736.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* m (+ (sqrt 1.0) (sqrt m)))
198.0ms	(/ v (- (sqrt 1.0) (sqrt m)))
137.0ms	(* (- (/ (* m (+ (sqrt 1.0) (sqrt m))) (/ v (- (sqrt 1.0) (sqrt m)))) 1.0) (- 1.0 m))
336.0ms	(/ (* m (+ (sqrt 1.0) (sqrt m))) (/ v (- (sqrt 1.0) (sqrt m))))

simplify1.7s

Counts

237 → 237

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	420	5708
1	1088	4390
2	4046	3917
done	5001	3895

prune472.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (- 1.0 m) 3) v)
5.0b	(* (/ (pow m 2) v) (/ (pow (- 1.0 m) 3) v))
12.4b	(/ (+ (* (- (* 1.0 1.0)) (- 1.0 m)) (* (/ (pow m 2) v) (/ (pow (- 1.0 m) 3) v))) (+ (/ (* m (- 1.0 m)) v) 1.0))
13.8b	(/ (pow m 2) v)

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

203×	`add-sqr-sqrt`
196×	`times-frac`
136×	`*-un-lft-identity`
100×	`add-cube-cbrt`
66×	`unpow-prod-down`
64×	`add-exp-log`
52×	`associate-r`
40×	`cube-prod`
31×	`div-exp`
28×	`associate-l`
27×	`associate-/l*`
25×	`unswap-sqr`
24×	`sqr-pow`
22×	`add-cbrt-cube`
16×	`prod-exp`
14×	`distribute-lft-out--` `difference-of-squares`
12×	`unpow2`
10×	`pow-to-exp` `pow-exp` `associate-/r*` `associate-/l/`
9×	`associate-*r/`
7×	`cbrt-undiv` `cube-mult` `unpow3`
6×	`pow1` `frac-add`
5×	`div-inv`
4×	`expm1-log1p-u` `flip3--` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`frac-times` `frac-2neg` `associate-*l/` `clear-num`
2×	`cube-div` `flip3-+` `associate-/r/` `flip-+`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 318

Calls

4 calls:

17.0ms	(/ (pow (- 1.0 m) 3) v)
58.0ms	(* (/ (pow m 2) v) (/ (pow (- 1.0 m) 3) v))
40.0ms	(/ (+ (* (- (* 1.0 1.0)) (- 1.0 m)) (* (/ (pow m 2) v) (/ (pow (- 1.0 m) 3) v))) (+ (/ (* m (- 1.0 m)) v) 1.0))
4.0ms	(/ (pow m 2) v)

series221.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (pow (- 1.0 m) 3) v)
60.0ms	(* (/ (pow m 2) v) (/ (pow (- 1.0 m) 3) v))
89.0ms	(/ (+ (* (- (* 1.0 1.0)) (- 1.0 m)) (* (/ (pow m 2) v) (/ (pow (- 1.0 m) 3) v))) (+ (/ (* m (- 1.0 m)) v) 1.0))
19.0ms	(/ (pow m 2) v)

simplify2.3s

Counts

330 → 330

Iterations

Useful iterations: 2 (1.3s)

Iter	Nodes	Cost
0	413	6528
1	1189	5980
2	4669	5551
done	5000	5551

prune912.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	10	13
done	10	13

end0.0ms

sample727.0ms

Algorithm

intervals

Results

317.0ms	13529×	body	80	valid
176.0ms	13529×	pre	80	true