Details

sample119.0ms

Algorithm

intervals

Results

18.0ms	458×	body	80	valid
10.0ms	458×	pre	80	true

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	110	13
4	379	13
5	1133	13
6	3190	13
done	5000	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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))

rewrite308.0ms

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:

42.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
47.0ms	(* m (- 1.0 m))
41.0ms	(/ (* m (- 1.0 m)) v)
169.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series249.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
74.0ms	(* m (- 1.0 m))
55.0ms	(/ (* m (- 1.0 m)) v)
78.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.7s

Counts

181 → 181

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	265	3570
1	579	2895
2	1783	2511
done	5001	2405

prune791.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite433.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 192

Calls

4 calls:

94.0ms	(- (/ (+ (* m 1.0) (* m (- m))) v) 1.0)
10.0ms	(+ (* m 1.0) (* m (- m)))
40.0ms	(/ (+ (* m 1.0) (* m (- m))) v)
281.0ms	(* (- (/ (+ (* m 1.0) (* m (- m))) v) 1.0) (- 1.0 m))

series226.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (/ (+ (* m 1.0) (* m (- m))) v) 1.0)
78.0ms	(+ (* m 1.0) (* m (- m)))
50.0ms	(/ (+ (* m 1.0) (* m (- m))) v)
53.0ms	(* (- (/ (+ (* m 1.0) (* m (- m))) v) 1.0) (- 1.0 m))

simplify2.1s

Counts

204 → 204

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	290	5060
1	661	3558
2	2114	3161
done	5000	2983

prune499.0ms

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	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
0.0b	(/ (* m (- 1.0 m)) v)
0.0b	(/ (* m (- 1.0 m)) v)
0.2b	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

rewrite333.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 241

Calls

4 calls:

97.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
35.0ms	(/ (* m (- 1.0 m)) v)
35.0ms	(/ (* m (- 1.0 m)) v)
139.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

series176.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
44.0ms	(/ (* m (- 1.0 m)) v)
40.0ms	(/ (* m (- 1.0 m)) v)
46.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

simplify2.8s

Counts

253 → 253

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	316	6515
1	878	5335
2	2798	4571
done	5000	4229

prune834.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (- (fma 1.0 m (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v))))
0.0b	(/ (* m (- 1.0 m)) v)
7.9b	(/ (pow m 3) v)
9.3b	(/ (pow m 2) v)

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
75×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
46×	`associate-+l+`
45×	`prod-diff`
24×	`unpow-prod-down`
23×	`distribute-rgt-in` `distribute-lft-in`
21×	`associate-/l*`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`cube-prod`
9×	`associate-/r*` `div-inv` `add-log-exp`
8×	`div-exp` `sqr-pow`
6×	`associate-+r+` `associate-*r/`
5×	`flip3--` `flip--`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `cube-mult` `unpow3` `frac-add` `log1p-expm1-u` `unpow2`
3×	`sub-neg` `frac-2neg` `clear-num`
2×	`pow-to-exp` `pow-exp` `sum-log` `associate-/l/`
1×	`+-commutative` `associate-+r-` `fma-def` `flip3-+` `diff-log` `prod-exp` `associate--l+` `cbrt-unprod` `flip-+` `fma-udef`

Counts

4 → 215

Calls

4 calls:

76.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (- (fma 1.0 m (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v))))
34.0ms	(/ (* m (- 1.0 m)) v)
10.0ms	(/ (pow m 3) v)
9.0ms	(/ (pow m 2) v)

series210.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (- (fma 1.0 m (/ (pow m 3) v)) (* 1.0 (/ (pow m 2) v))))
44.0ms	(/ (* m (- 1.0 m)) v)
34.0ms	(/ (pow m 3) v)
36.0ms	(/ (pow m 2) v)

simplify2.0s

Counts

227 → 227

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	328	4401
1	811	3906
2	2946	3512
done	5000	3451

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes91.0ms

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	18	30
1	23	30
done	23	30

end0.0ms

sample1.8s

Algorithm

intervals

Results

984.0ms	13849×	body	80	valid
395.0ms	13849×	pre	80	true