Details

sample322.0ms

Algorithm

intervals

Results

10.0ms	440×	body	80	valid
6.0ms	440×	pre	80	true

simplify77.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	105	6
3	354	6
4	1102	6
5	3189	6
6	5002	6
done	5002	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite130.0ms

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:

22.0ms	(* m (- 1.0 m))
87.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
18.0ms	(/ (* m (- 1.0 m)) v)

series136.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify57.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	389	602
1	1946	551
2	5003	545
done	5003	545

prune171.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
6×	`flip3--` `associate-l` `flip--`
5×	`pow1` `distribute-rgt-out` `associate-r` `add-log-exp`
4×	`distribute-lft-neg-out` `frac-times` `associate-/l*`
3×	`associate-/r*` `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 → 84

Calls

3 calls:

8.0ms	(+ (* 1.0 m) (* (- m) m))
163.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))
24.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)

series142.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ (* 1.0 m) (* (- m) m))
39.0ms	(* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) (- 1.0 m))
47.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)

simplify56.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	415	891
1	1954	796
2	5001	782
done	5001	782

prune203.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite368.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 184

Calls

4 calls:

95.0ms	(+ (* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) 1.0) (* (+ (- 1.0) (/ m (/ v (- 1.0 m)))) (- m)))
16.0ms	(/ m (/ v (- 1.0 m)))
24.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
224.0ms	(* (+ (- 1.0) (/ m (/ v (- 1.0 m)))) (- m))

series170.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (* (- (/ (+ (* 1.0 m) (* (- m) m)) v) 1.0) 1.0) (* (+ (- 1.0) (/ m (/ v (- 1.0 m)))) (- m)))
37.0ms	(/ m (/ v (- 1.0 m)))
50.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
39.0ms	(* (+ (- 1.0) (/ m (/ v (- 1.0 m)))) (- m))

simplify128.0ms

Counts

196 → 196

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	946	2006
1	4822	1893
2	5001	1887
done	5001	1887

prune552.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ (* 1.0 m) (* (- m) m)) v)
0.1b	(* (+ (- 1.0) (/ (sqrt m) (/ (/ v (- 1.0 m)) (sqrt m)))) (- m))
0.2b	(/ (/ v (- 1.0 m)) (sqrt m))
0.3b	(/ (sqrt m) (/ (/ v (- 1.0 m)) (sqrt m)))

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

2535×	`times-frac`
1363×	`*-un-lft-identity`
1361×	`add-sqr-sqrt`
1065×	`add-cube-cbrt`
900×	`sqrt-prod`
147×	`distribute-lft-out--` `difference-of-squares`
139×	`associate-/r*`
99×	`associate-/r/`
59×	`div-inv`
49×	`flip3--` `flip--`
31×	`associate-/l*`
22×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp` `associate-r`
6×	`pow1`
5×	`associate-l`
4×	`distribute-rgt-out` `distribute-rgt-neg-in` `add-log-exp`
3×	`distribute-lft-neg-in` `frac-2neg` `clear-num` `associate-/l/`
2×	`distribute-lft-neg-out` `flip3-+` `div-sub` `associate-*l/` `flip-+` `distribute-lft-out`
1×	`neg-mul-1` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `distribute-rgt-neg-out` `cbrt-unprod` `unswap-sqr`

Counts

4 → 1166

Calls

4 calls:

24.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
1.6s	(* (+ (- 1.0) (/ (sqrt m) (/ (/ v (- 1.0 m)) (sqrt m)))) (- m))
27.0ms	(/ (/ v (- 1.0 m)) (sqrt m))
52.0ms	(/ (sqrt m) (/ (/ v (- 1.0 m)) (sqrt m)))

series271.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ (+ (* 1.0 m) (* (- m) m)) v)
59.0ms	(* (+ (- 1.0) (/ (sqrt m) (/ (/ v (- 1.0 m)) (sqrt m)))) (- m))
99.0ms	(/ (/ v (- 1.0 m)) (sqrt m))
67.0ms	(/ (sqrt m) (/ (/ v (- 1.0 m)) (sqrt m)))

simplify198.0ms

Counts

1178 → 1178

Iterations

Useful iterations: 1 (54.0ms)

Iter	Nodes	Cost
0	3035	17708
1	5001	16982
done	5001	16982

prune2.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	18
1	34	18
2	39	18
3	41	18
4	53	18
5	76	18
6	95	18
7	132	18
8	166	18
9	185	18
10	194	18
11	199	18
12	201	18
13	203	18
14	203	18
done	203	18

end0.0ms

sample762.0ms

Algorithm

intervals

Results

304.0ms	13965×	body	80	valid
162.0ms	13965×	pre	80	true