Details

sample224.0ms

Algorithm

intervals

Results

55.0ms	462×	body	80	valid
13.0ms	462×	pre	80	true

simplify4.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

localize10.0ms

Local error

Found 3 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) (- 1.0 m))

rewrite152.0ms

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:

27.0ms	(* m (- 1.0 m))
18.0ms	(/ (* m (- 1.0 m)) v)
103.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series183.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* m (- 1.0 m))
71.0ms	(/ (* m (- 1.0 m)) v)
51.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.1s

Counts

92 → 92

Iterations

Useful iterations: done (1.1s)

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

prune286.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite426.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

42.0ms	(* v (+ 1.0 m))
63.0ms	(* m (- (* 1.0 1.0) (* m m)))
44.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
270.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))

series373.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* v (+ 1.0 m))
110.0ms	(* m (- (* 1.0 1.0) (* m m)))
101.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
106.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))

simplify2.2s

Counts

119 → 119

Iterations

Useful iterations: 2 (1.1s)

Iter	Nodes	Cost
0	195	2366
1	560	2275
2	2590	1995
done	5002	1995

prune331.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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)))

rewrite406.0ms

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:

37.0ms	(* m (- 1.0 m))
19.0ms	(/ (* m (- 1.0 m)) v)
182.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
156.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series495.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* m (- 1.0 m))
47.0ms	(/ (* m (- 1.0 m)) v)
199.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
192.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify2.5s

Counts

147 → 147

Iterations

Useful iterations: done (2.5s)

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

prune601.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 227

Calls

4 calls:

19.0ms	(/ v (- 1.0 m))
23.0ms	(/ m (/ v (- 1.0 m)))
678.0ms	(* (* (- (/ m (/ v (- 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
578.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m)))

series500.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ v (- 1.0 m))
60.0ms	(/ m (/ v (- 1.0 m)))
200.0ms	(* (* (- (/ m (/ v (- 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
197.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify941.0ms

Counts

239 → 239

Iterations

Useful iterations: done (926.0ms)

Iter	Nodes	Cost
0	409	5296
1	1135	4642
done	5001	4379

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	21
1	17	21
done	17	21

end0.0ms

sample1.8s

Algorithm

intervals

Results

828.0ms	13729×	body	80	valid
419.0ms	13729×	pre	80	true