Details

sample108.0ms

Algorithm

intervals

Results

14.0ms	426×	body	80	valid
8.0ms	426×	pre	80	true

simplify4.1s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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))

rewrite242.0ms

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:

32.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
27.0ms	(* m (- 1.0 m))
25.0ms	(/ (* m (- 1.0 m)) v)
149.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series221.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
70.0ms	(* m (- 1.0 m))
61.0ms	(/ (* m (- 1.0 m)) v)
57.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.1s

Counts

109 → 109

Iterations

Useful iterations: done (1.1s)

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

prune366.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize22.0ms

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	(* (pow (- (/ (* m (- 1.0 m)) v) 1.0) 1) (- 1.0 m))

rewrite306.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

43.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
44.0ms	(* m (- 1.0 m))
36.0ms	(/ (* m (- 1.0 m)) v)
177.0ms	(* (pow (- (/ (* m (- 1.0 m)) v) 1.0) 1) (- 1.0 m))

series249.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
67.0ms	(* m (- 1.0 m))
69.0ms	(/ (* m (- 1.0 m)) v)
71.0ms	(* (pow (- (/ (* m (- 1.0 m)) v) 1.0) 1) (- 1.0 m))

simplify1.4s

Counts

111 → 111

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	164	1541
1	388	1383
2	1325	1275
done	5000	1245

prune332.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 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) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
0.1b	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

rewrite468.0ms

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:

35.0ms	(* m (- 1.0 m))
35.0ms	(/ (* m (- 1.0 m)) v)
263.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
129.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series556.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* m (- 1.0 m))
69.0ms	(/ (* m (- 1.0 m)) v)
204.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
201.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify2.3s

Counts

147 → 147

Iterations

Useful iterations: done (2.3s)

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

prune579.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite511.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 149

Calls

4 calls:

36.0ms	(/ (* m (- 1.0 m)) v)
123.0ms	(/ (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)) (- (sqrt 1.0) (sqrt m)))
217.0ms	(* (/ (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)) (- (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
124.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series610.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ (* m (- 1.0 m)) v)
463.0ms	(/ (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)) (- (sqrt 1.0) (sqrt m)))
50.0ms	(* (/ (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)) (- (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
44.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify2.4s

Counts

161 → 161

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	261	3831
1	762	3680
2	3710	2972
done	5000	2954

prune555.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	16	25
done	16	25

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.2s	13690×	body	80	valid
312.0ms	13690×	pre	80	true