Details

sample206.0ms

Algorithm

intervals

Results

26.0ms	420×	body	80	valid
13.0ms	420×	pre	80	true

simplify4.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4955
5	1090
4	344
3	105
2	38
1	16
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

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))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`prod-diff`
33×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
12×	`add-cbrt-cube` `add-exp-log`
10×	`associate-r`
8×	`flip3--` `associate-l` `flip--`
7×	`pow1`
6×	`associate-*r/`
4×	`frac-times` `sub-neg`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 125

Calls

3 calls:

34.0ms	(* m (- 1.0 m))
32.0ms	(/ (* m (- 1.0 m)) v)
130.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series159.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* m (- 1.0 m))
43.0ms	(/ (* m (- 1.0 m)) v)
64.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.8s

Counts

134 → 134

Iterations

Iter	Nodes
done	5005
2	1905
1	586
0	223

prune579.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-l`
8×	`flip3--` `associate-r` `flip--`
7×	`pow1`
6×	`associate-*l/`
4×	`frac-times`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

3 → 103

Calls

3 calls:

32.0ms	(* (- 1.0 m) m)
25.0ms	(/ (* (- 1.0 m) m) v)
99.0ms	(* (- (/ (* (- 1.0 m) m) v) 1.0) (- 1.0 m))

series178.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(* (- 1.0 m) m)
47.0ms	(/ (* (- 1.0 m) m) v)
46.0ms	(* (- (/ (* (- 1.0 m) m) v) 1.0) (- 1.0 m))

simplify2.1s

Counts

112 → 112

Iterations

Iter	Nodes
done	5009
2	1885
1	532
0	197

prune664.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite536.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
63×	`add-sqr-sqrt`
52×	`add-cube-cbrt`
51×	`times-frac`
36×	`prod-diff`
34×	`add-cbrt-cube` `add-exp-log`
22×	`distribute-rgt-in` `distribute-lft-in`
18×	`associate-*r/`
12×	`frac-times` `flip3--` `flip--`
11×	`pow1` `flip3-+` `flip-+` `associate-/l*`
10×	`cbrt-undiv` `div-exp` `associate-r` `prod-exp` `associate-/r/` `cbrt-unprod`
9×	`associate-/l/`
7×	`associate-/r` `associate-l*`
6×	`associate-*l/` `div-inv` `distribute-lft-out`
4×	`expm1-log1p-u` `sub-neg` `pow-prod-down` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`distribute-lft-out--`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 208

Calls

4 calls:

46.0ms	(/ (/ (* (* m (+ 1.0 m)) (- 1.0 m)) (+ 1.0 m)) v)
388.0ms	(* (- (/ (/ (* (* m (+ 1.0 m)) (- 1.0 m)) (+ 1.0 m)) v) 1.0) (- 1.0 m))
39.0ms	(* (* m (+ 1.0 m)) (- 1.0 m))
45.0ms	(/ (* (* m (+ 1.0 m)) (- 1.0 m)) (+ 1.0 m))

series289.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ (/ (* (* m (+ 1.0 m)) (- 1.0 m)) (+ 1.0 m)) v)
48.0ms	(* (- (/ (/ (* (* m (+ 1.0 m)) (- 1.0 m)) (+ 1.0 m)) v) 1.0) (- 1.0 m))
111.0ms	(* (* m (+ 1.0 m)) (- 1.0 m))
63.0ms	(/ (* (* m (+ 1.0 m)) (- 1.0 m)) (+ 1.0 m))

simplify2.6s

Counts

220 → 220

Iterations

Iter	Nodes
done	5002
2	3978
1	960
0	347

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

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)))

rewrite446.0ms

Algorithm

rewrite-expression-head

Rules

90×	`prod-diff`
87×	`add-sqr-sqrt`
83×	`*-un-lft-identity`
80×	`sqrt-prod`
71×	`add-cube-cbrt`
50×	`distribute-rgt-in` `distribute-lft-in`
32×	`frac-times`
23×	`flip3--` `flip--`
19×	`associate-r`
18×	`add-cbrt-cube` `add-exp-log`
16×	`associate-*l/`
14×	`associate-*r/`
13×	`pow1`
12×	`flip3-+` `flip-+`
9×	`associate-l`
6×	`prod-exp` `cbrt-unprod` `difference-of-squares`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `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 → 233

Calls

4 calls:

32.0ms	(* m (- 1.0 m))
30.0ms	(/ (* m (- 1.0 m)) v)
197.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
164.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series515.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* m (- 1.0 m))
68.0ms	(/ (* m (- 1.0 m)) v)
200.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
181.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify2.0s

Counts

245 → 245

Iterations

Iter	Nodes
done	5003
1	1390
0	428

prune1.5s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.2s	13616×	body	80	valid
379.0ms	13616×	pre	80	true