Details

sample81.0ms

Algorithm

intervals

Results

14.0ms	438×	body	80	valid
7.0ms	438×	pre	80	true

simplify995.0ms

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	359	13
5	1353	13
done	5000	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`add-cbrt-cube` `add-exp-log`
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×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

3 → 83

Calls

3 calls:

31.0ms	(* m (- 1.0 m))
22.0ms	(/ (* m (- 1.0 m)) v)
76.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series197.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* m (- 1.0 m))
50.0ms	(/ (* m (- 1.0 m)) v)
79.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.2s

Counts

92 → 92

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	147	1290
1	419	1245
2	2208	1151
done	5001	1145

prune429.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

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))

rewrite441.0ms

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-cbrt-cube` `add-exp-log`
11×	`flip3--` `associate-/r/` `flip--`
7×	`associate-l`
6×	`div-inv` `associate-/l*`
5×	`pow1` `associate-r`
4×	`frac-times` `cbrt-undiv` `div-exp`
3×	`add-log-exp`
2×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-l/` `associate-r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 175

Calls

3 calls:

17.0ms	(/ v (- 1.0 m))
26.0ms	(/ m (/ v (- 1.0 m)))
385.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series162.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ v (- 1.0 m))
71.0ms	(/ m (/ v (- 1.0 m)))
47.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify1.6s

Counts

184 → 184

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	293	2946
1	789	2799
2	4248	2665
done	5002	2662

prune799.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite319.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 137

Calls

4 calls:

20.0ms	(* m (- 1.0 m))
16.0ms	(/ (* m (- 1.0 m)) v)
98.0ms	(* (+ (sqrt 1.0) (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0))
180.0ms	(* (* (+ (sqrt 1.0) (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0)) (- (sqrt 1.0) (sqrt m)))

series518.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* m (- 1.0 m))
53.0ms	(/ (* m (- 1.0 m)) v)
183.0ms	(* (+ (sqrt 1.0) (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0))
212.0ms	(* (* (+ (sqrt 1.0) (sqrt m)) (- (/ (* m (- 1.0 m)) v) 1.0)) (- (sqrt 1.0) (sqrt m)))

simplify476.0ms

Counts

149 → 149

Iterations

Useful iterations: done (469.0ms)

Iter	Nodes	Cost
0	265	3677
1	907	3305
done	5000	3044

prune842.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (* m (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m)))) v)
0.0b	(* m (- (pow 1.0 3) (pow m 3)))
0.0b	(* (- (/ (/ (* m (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m)))) v) 1.0) (- 1.0 m))
1.0b	(/ (* m (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m))))

rewrite972.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 162

Calls

4 calls:

71.0ms	(/ (/ (* m (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m)))) v)
109.0ms	(* m (- (pow 1.0 3) (pow m 3)))
717.0ms	(* (- (/ (/ (* m (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m)))) v) 1.0) (- 1.0 m))
67.0ms	(/ (* m (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m))))

series755.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(/ (/ (* m (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m)))) v)
148.0ms	(* m (- (pow 1.0 3) (pow m 3)))
173.0ms	(* (- (/ (/ (* m (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m)))) v) 1.0) (- 1.0 m))
296.0ms	(/ (* m (- (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (+ (* m m) (* 1.0 m))))

simplify479.0ms

Counts

174 → 174

Iterations

Useful iterations: done (470.0ms)

Iter	Nodes	Cost
0	299	5179
1	916	4592
done	5000	4222

prune1.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (0.1b 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	9	13
done	9	13

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s	13678×	body	80	valid
372.0ms	13678×	pre	80	true