Details

sample337.0ms

Algorithm

intervals

Results

11.0ms	459×	body	80	valid
6.0ms	459×	pre	80	true

simplify88.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	40	6
2	112	6
3	393	6
4	1344	6
5	4072	6
6	5001	6
done	5001	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

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

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-sqr-sqrt`
57×	`*-un-lft-identity` `prod-diff`
49×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
15×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
9×	`flip3--` `flip--`
8×	`pow1` `associate-l`
7×	`fma-neg`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg` `div-inv`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`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` `associate-/l*`

Counts

4 → 169

Calls

4 calls:

27.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
21.0ms	(* m (- 1.0 m))
98.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
24.0ms	(/ (* m (- 1.0 m)) v)

series163.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
49.0ms	(* m (- 1.0 m))
38.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
51.0ms	(/ (* m (- 1.0 m)) v)

simplify90.0ms

Counts

181 → 181

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	583	1692
1	2838	1209
2	5002	1196
done	5002	1196

prune254.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`associate-r` `associate-*l/`
7×	`flip3--` `flip--`
6×	`pow1` `times-frac` `associate-/r*` `add-log-exp`
5×	`associate-l`
4×	`cbrt-undiv` `expm1-log1p-u` `associate-*r/` `div-exp` `frac-add` `log1p-expm1-u` `associate-/l/`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`
1×	`+-commutative` `neg-mul-1` `fma-def` `flip3-+` `unsub-neg` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

42.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
20.0ms	(/ (* m (- 1.0 m)) v)
20.0ms	(/ (* m (- 1.0 m)) v)
81.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

series162.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (* (- (/ (* m (- 1.0 m)) v) 1.0) 1.0) (* (- (/ (* m (- 1.0 m)) v) 1.0) (- m)))
42.0ms	(/ (* m (- 1.0 m)) v)
38.0ms	(/ (* m (- 1.0 m)) v)
41.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- m))

simplify71.0ms

Counts

115 → 115

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	529	1005
1	2584	882
2	5001	862
done	5001	862

prune262.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

20.0ms	(/ (* m (- 1.0 m)) v)
28.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
26.0ms	(* m (- (* 1.0 1.0) (* m m)))
129.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- m))

series254.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ (* m (- 1.0 m)) v)
70.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
74.0ms	(* m (- (* 1.0 1.0) (* m m)))
66.0ms	(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- m))

simplify103.0ms

Counts

125 → 125

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	635	1029
1	3861	881
2	5001	879
done	5001	879

prune343.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (pow m 3) v) (* 1.0 (/ (pow m 2) v)))
0.0b	(/ (* m (- 1.0 m)) v)
6.5b	(/ (pow m 3) v)
12.9b	(/ (pow m 2) v)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

135×	`times-frac`
92×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
42×	`unpow-prod-down`
40×	`fma-neg` `prod-diff`
30×	`cube-prod`
21×	`associate-/l*`
19×	`add-exp-log`
14×	`sqr-pow`
13×	`add-cbrt-cube`
10×	`cube-mult` `unpow3`
9×	`associate-/r*`
8×	`div-exp`
6×	`add-log-exp`
5×	`div-inv`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `unpow2`
3×	`frac-2neg` `clear-num`
2×	`pow-to-exp` `flip3--` `pow-exp` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `sub-div`

Counts

4 → 239

Calls

4 calls:

51.0ms	(- (/ (pow m 3) v) (* 1.0 (/ (pow m 2) v)))
20.0ms	(/ (* m (- 1.0 m)) v)
9.0ms	(/ (pow m 3) v)
8.0ms	(/ (pow m 2) v)

series134.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (/ (pow m 3) v) (* 1.0 (/ (pow m 2) v)))
37.0ms	(/ (* m (- 1.0 m)) v)
22.0ms	(/ (pow m 3) v)
24.0ms	(/ (pow m 2) v)

simplify110.0ms

Counts

251 → 251

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	618	1707
1	3036	1490
2	5003	1443
done	5003	1443

prune636.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes44.0ms

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: 0 (0.0ms)

Iter	Nodes	Cost
0	28	16
1	32	16
2	33	16
3	33	16
done	33	16

end0.0ms

sample752.0ms

Algorithm

intervals

Results

293.0ms	13618×	body	80	valid
167.0ms	13618×	pre	80	true