Details

sample146.0ms

Algorithm

intervals

Results

28.0ms	437×	body	80	valid
13.0ms	437×	pre	80	true

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	40	13
3	112	13
4	396	13
5	1593	13
done	5000	13

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

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))

rewrite328.0ms

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-exp-log` `add-cbrt-cube`
10×	`associate-r`
8×	`flip3--` `associate-l` `flip--`
7×	`pow1`
6×	`associate-*r/`
4×	`frac-times` `sub-neg`
3×	`expm1-log1p-u` `times-frac` `prod-exp` `associate-/r*` `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` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

3 → 125

Calls

3 calls:

48.0ms	(* m (- 1.0 m))
43.0ms	(/ (* m (- 1.0 m)) v)
219.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series250.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(* m (- 1.0 m))
78.0ms	(/ (* m (- 1.0 m)) v)
85.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify3.2s

Counts

134 → 134

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	223	2618
1	586	2254
2	3415	1967
done	5001	1910

prune699.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 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) (- 1.0 m))

rewrite701.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 199

Calls

3 calls:

22.0ms	(/ v (- 1.0 m))
36.0ms	(/ m (/ v (- 1.0 m)))
621.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series208.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ v (- 1.0 m))
75.0ms	(/ m (/ v (- 1.0 m)))
69.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify950.0ms

Counts

208 → 208

Iterations

Useful iterations: done (937.0ms)

Iter	Nodes	Cost
0	345	3782
1	911	3507
done	5000	3244

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
0.1b	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
14.6b	(/ (pow m 2) v)

rewrite863.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
54×	`*-un-lft-identity`
49×	`add-cube-cbrt` `times-frac`
46×	`prod-diff`
21×	`unpow-prod-down`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log`
8×	`associate-/l*` `unpow2`
7×	`flip3--` `add-cbrt-cube` `flip--` `sqr-pow`
5×	`pow1` `associate-r` `associate-l` `add-log-exp`
4×	`frac-times` `associate-*r/`
3×	`expm1-log1p-u` `sub-neg` `div-exp` `associate-/r*` `log1p-expm1-u`
2×	`associate-*l/` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `pow-to-exp` `distribute-rgt-out--` `frac-2neg` `fma-neg` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `frac-sub` `cbrt-unprod` `sub-div` `unswap-sqr`

Counts

3 → 151

Calls

3 calls:

44.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
789.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
18.0ms	(/ (pow m 2) v)

series181.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(- (* 1.0 (/ m v)) (/ (pow m 2) v))
71.0ms	(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
39.0ms	(/ (pow m 2) v)

simplify922.0ms

Counts

160 → 160

Iterations

Useful iterations: done (911.0ms)

Iter	Nodes	Cost
0	381	4255
1	1037	3743
done	5001	2903

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt 1.0) (sqrt 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)))

rewrite675.0ms

Algorithm

rewrite-expression-head

Rules

85×	`sqrt-prod`
81×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
72×	`prod-diff`
65×	`add-cube-cbrt`
40×	`distribute-rgt-in` `distribute-lft-in`
34×	`frac-times`
21×	`flip3--` `flip--`
19×	`associate-r`
17×	`associate-l` `associate-*l/`
16×	`add-exp-log` `add-cbrt-cube`
15×	`flip3-+` `flip-+`
13×	`pow1`
12×	`associate-*r/`
10×	`times-frac`
6×	`fma-def` `prod-exp` `cbrt-unprod` `distribute-lft-out` `add-log-exp`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `difference-of-squares`
3×	`*-commutative` `unswap-sqr`
2×	`sub-neg` `distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-neg-in` `div-exp` `sum-log` `div-inv`

Counts

4 → 223

Calls

4 calls:

21.0ms	(+ (sqrt 1.0) (sqrt m))
81.0ms	(* (/ m v) (+ 1.0 (- m)))
335.0ms	(* (* (- (* (/ m v) (+ 1.0 (- m))) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
208.0ms	(* (- (* (/ m v) (+ 1.0 (- m))) 1.0) (+ (sqrt 1.0) (sqrt m)))

series644.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (sqrt 1.0) (sqrt m))
69.0ms	(* (/ m v) (+ 1.0 (- m)))
250.0ms	(* (* (- (* (/ m v) (+ 1.0 (- m))) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
247.0ms	(* (- (* (/ m v) (+ 1.0 (- m))) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify1.3s

Counts

235 → 235

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	405	8740
1	1445	7163
done	5000	6614

prune1.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	17
1	14	17
done	14	17

end0.0ms

sample2.6s

Algorithm

intervals

Results

994.0ms	13742×	body	80	valid
967.0ms	13742×	pre	80	true