Details

sample372.0ms

Algorithm

intervals

Results

9.0ms	390×	body	80	valid
5.0ms	390×	pre	80	true

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	103	13
4	343	13
5	939	13
6	2377	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite128.0ms

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:

20.0ms	(* m (- 1.0 m))
15.0ms	(/ (* m (- 1.0 m)) v)
89.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series136.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* m (- 1.0 m))
38.0ms	(/ (* m (- 1.0 m)) v)
50.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify693.0ms

Counts

92 → 92

Iterations

Useful iterations: done (690.0ms)

Iter	Nodes	Cost
0	147	1290
1	386	1245
2	1439	1143
done	5000	1119

prune174.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

8.0ms	(+ (* 1.0 m) (* m (- m)))
23.0ms	(/ (+ (* 1.0 m) (* m (- m))) v)
153.0ms	(* (- (/ (+ (* 1.0 m) (* m (- m))) v) 1.0) (- 1.0 m))

series146.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(+ (* 1.0 m) (* m (- m)))
50.0ms	(/ (+ (* 1.0 m) (* m (- m))) v)
38.0ms	(* (- (/ (+ (* 1.0 m) (* m (- m))) v) 1.0) (- 1.0 m))

simplify706.0ms

Counts

88 → 88

Iterations

Useful iterations: done (703.0ms)

Iter	Nodes	Cost
0	156	1720
1	403	1562
2	1497	1245
done	5000	1224

prune192.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 135

Calls

4 calls:

20.0ms	(* m (- 1.0 m))
15.0ms	(/ (* m (- 1.0 m)) v)
137.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
96.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series351.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* m (- 1.0 m))
37.0ms	(/ (* m (- 1.0 m)) v)
133.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
133.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify1.4s

Counts

147 → 147

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	264	3636
1	841	3103
2	4166	2854
done	5002	2836

prune375.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 m) v)
0.1b	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
0.3b	(* m (/ (- 1.0 m) v))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 108

Calls

3 calls:

15.0ms	(/ (- 1.0 m) v)
63.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
26.0ms	(* m (/ (- 1.0 m) v))

series112.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (- 1.0 m) v)
36.0ms	(* (- (* m (/ (- 1.0 m) v)) 1.0) (- 1.0 m))
40.0ms	(* m (/ (- 1.0 m) v))

simplify764.0ms

Counts

117 → 117

Iterations

Useful iterations: done (760.0ms)

Iter	Nodes	Cost
0	173	1606
1	447	1533
2	1544	1425
done	5000	1399

prune210.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	17	16
done	17	16

end0.0ms

sample751.0ms

Algorithm

intervals

Results

289.0ms	13495×	body	80	valid
162.0ms	13495×	pre	80	true