Details

sample346.0ms

Algorithm

intervals

Results

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

simplify2.5s

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 4 expressions with local error:

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

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

21.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
20.0ms	(* m (- 1.0 m))
16.0ms	(/ (* m (- 1.0 m)) v)
90.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series157.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
45.0ms	(* m (- 1.0 m))
41.0ms	(/ (* m (- 1.0 m)) v)
46.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify684.0ms

Counts

109 → 109

Iterations

Useful iterations: done (680.0ms)

Iter	Nodes	Cost
0	155	1545
1	397	1497
2	1453	1377
done	5001	1335

prune199.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1 (/ (* m (- 1.0 m)) v)) 1.0)
0.0b	(* m (- 1.0 m))
0.0b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- (* 1 (/ (* m (- 1.0 m)) v)) 1.0) (- 1.0 m))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

23.0ms	(- (* 1 (/ (* m (- 1.0 m)) v)) 1.0)
22.0ms	(* m (- 1.0 m))
16.0ms	(/ (* m (- 1.0 m)) v)
107.0ms	(* (- (* 1 (/ (* m (- 1.0 m)) v)) 1.0) (- 1.0 m))

series147.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (* 1 (/ (* m (- 1.0 m)) v)) 1.0)
44.0ms	(* m (- 1.0 m))
40.0ms	(/ (* m (- 1.0 m)) v)
37.0ms	(* (- (* 1 (/ (* m (- 1.0 m)) v)) 1.0) (- 1.0 m))

simplify706.0ms

Counts

107 → 107

Iterations

Useful iterations: done (703.0ms)

Iter	Nodes	Cost
0	157	1648
1	404	1460
2	1458	1340
done	5000	1298

prune206.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ m (/ v (- 1.0 m))) 1.0)
0.0b	(/ v (- 1.0 m))
0.1b	(/ m (/ v (- 1.0 m)))
0.1b	(* (* 1 (- (/ m (/ v (- 1.0 m))) 1.0)) (- 1.0 m))

rewrite374.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 188

Calls

4 calls:

92.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
11.0ms	(/ v (- 1.0 m))
17.0ms	(/ m (/ v (- 1.0 m)))
246.0ms	(* (* 1 (- (/ m (/ v (- 1.0 m))) 1.0)) (- 1.0 m))

series139.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (/ m (/ v (- 1.0 m))) 1.0)
35.0ms	(/ v (- 1.0 m))
37.0ms	(/ m (/ v (- 1.0 m)))
40.0ms	(* (* 1 (- (/ m (/ v (- 1.0 m))) 1.0)) (- 1.0 m))

simplify1.1s

Counts

200 → 200

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	314	3301
1	717	3046
2	2594	2888
done	5000	2861

prune422.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ m (/ v (- (sqrt 1.0) (sqrt m))))
0.1b	(/ v (- (sqrt 1.0) (sqrt m)))
0.1b	(* (+ (sqrt 1.0) (sqrt m)) (/ m (/ v (- (sqrt 1.0) (sqrt m)))))
0.1b	(* (* 1 (- (* (+ (sqrt 1.0) (sqrt m)) (/ m (/ v (- (sqrt 1.0) (sqrt m))))) 1.0)) (- 1.0 m))

rewrite351.0ms

Algorithm

rewrite-expression-head

Rules

417×	`times-frac`
390×	`add-sqr-sqrt`
285×	`*-un-lft-identity`
179×	`add-cube-cbrt`
152×	`sqrt-prod`
109×	`associate-r`
101×	`difference-of-squares`
51×	`distribute-lft-out--`
42×	`associate-/r*`
27×	`add-exp-log`
25×	`add-cbrt-cube`
18×	`associate-/r/`
14×	`flip3--` `flip--`
11×	`pow1`
10×	`div-inv`
9×	`associate-*r/`
8×	`prod-exp`
7×	`cbrt-undiv` `div-exp`
6×	`frac-times` `associate-l` `cbrt-unprod` `associate-/l*`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
3×	`unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3-+` `clear-num` `*-commutative` `flip-+` `distribute-lft-out`
1×	`1-exp`

Counts

4 → 368

Calls

4 calls:

27.0ms	(/ m (/ v (- (sqrt 1.0) (sqrt m))))
20.0ms	(/ v (- (sqrt 1.0) (sqrt m)))
108.0ms	(* (+ (sqrt 1.0) (sqrt m)) (/ m (/ v (- (sqrt 1.0) (sqrt m)))))
166.0ms	(* (* 1 (- (* (+ (sqrt 1.0) (sqrt m)) (/ m (/ v (- (sqrt 1.0) (sqrt m))))) 1.0)) (- 1.0 m))

series765.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(/ m (/ v (- (sqrt 1.0) (sqrt m))))
186.0ms	(/ v (- (sqrt 1.0) (sqrt m)))
338.0ms	(* (+ (sqrt 1.0) (sqrt m)) (/ m (/ v (- (sqrt 1.0) (sqrt m)))))
137.0ms	(* (* 1 (- (* (+ (sqrt 1.0) (sqrt m)) (/ m (/ v (- (sqrt 1.0) (sqrt m))))) 1.0)) (- 1.0 m))

simplify610.0ms

Counts

380 → 380

Iterations

Useful iterations: done (596.0ms)

Iter	Nodes	Cost
0	506	8074
1	1297	7338
done	5000	6446

prune772.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes49.0ms

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: 1 (1.0ms)

Iter	Nodes	Cost
0	10	15
1	15	13
done	15	13

end0.0ms

sample739.0ms

Algorithm

intervals

Results

298.0ms	13729×	body	80	valid
161.0ms	13729×	pre	80	true