Details

sample146.0ms

Algorithm

intervals

Results

27.0ms	437×	body	80	valid
13.0ms	437×	pre	80	true

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	105	13
4	360	13
5	1338	13
done	5000	13

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite281.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

42.0ms	(* m (- 1.0 m))
38.0ms	(/ (* m (- 1.0 m)) v)
194.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series257.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(* m (- 1.0 m))
73.0ms	(/ (* m (- 1.0 m)) v)
89.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.9s

Counts

92 → 92

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	147	1290
1	419	1245
2	2210	1151
done	5000	1143

prune459.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite576.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 175

Calls

3 calls:

21.0ms	(/ v (- 1.0 m))
28.0ms	(/ m (/ v (- 1.0 m)))
510.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series185.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ v (- 1.0 m))
61.0ms	(/ m (/ v (- 1.0 m)))
64.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify2.5s

Counts

184 → 184

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	293	2946
1	787	2803
2	4235	2669
done	5000	2664

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
0.1b	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
14.6b	(/ (pow m 2) v)

rewrite736.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-cube-cbrt`
12×	`unpow-prod-down`
10×	`add-exp-log`
8×	`associate-/l*`
7×	`flip3--` `add-cbrt-cube` `flip--`
5×	`pow1` `associate-r` `associate-l` `unpow2` `add-log-exp`
4×	`frac-times` `associate-*r/` `sqr-pow`
3×	`sub-neg` `div-exp` `associate-/r*`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `pow-to-exp` `distribute-rgt-out--` `frac-2neg` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `frac-sub` `cbrt-unprod` `div-inv` `sub-div` `unswap-sqr`

Counts

3 → 98

Calls

3 calls:

30.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
684.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
16.0ms	(/ (pow m 2) v)

series153.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
63.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
33.0ms	(/ (pow m 2) v)

simplify1.8s

Counts

107 → 107

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	194	1830
1	461	1728
2	2285	1591
done	5000	1589

prune676.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 227

Calls

4 calls:

27.0ms	(/ v (- 1.0 m))
33.0ms	(/ m (/ v (- 1.0 m)))
743.0ms	(* (* (- (/ m (/ v (- 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
626.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m)))

series637.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(/ v (- 1.0 m))
71.0ms	(/ m (/ v (- 1.0 m)))
260.0ms	(* (* (- (/ m (/ v (- 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
227.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify1.1s

Counts

239 → 239

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	409	5296
1	1320	4825
done	5000	4581

prune1.9s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes150.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	17
1	14	17
done	14	17

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	13742×	body	80	valid
932.0ms	13742×	pre	80	true