Details

sample110.0ms

Algorithm

intervals

Results

16.0ms	460×	body	80	valid
8.0ms	460×	pre	80	true

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite214.0ms

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:

24.0ms	(* m (- 1.0 m))
33.0ms	(/ (* m (- 1.0 m)) v)
152.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series179.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* m (- 1.0 m))
53.0ms	(/ (* m (- 1.0 m)) v)
65.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.5s

Counts

134 → 134

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	223	2618
1	499	2242
2	1674	1959
done	5002	1880

prune386.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite512.0ms

Algorithm

rewrite-expression-head

Rules

125×	`sqrt-prod`
108×	`prod-diff`
103×	`add-sqr-sqrt`
97×	`*-un-lft-identity`
83×	`add-cube-cbrt`
39×	`distribute-rgt-in` `distribute-lft-in`
32×	`frac-times`
23×	`flip3--` `flip--`
16×	`add-exp-log` `associate-*l/` `add-cbrt-cube`
14×	`associate-r`
12×	`flip3-+` `associate-*r/` `flip-+`
11×	`pow1`
9×	`difference-of-squares`
6×	`fma-neg` `associate-l` `add-log-exp`
5×	`prod-exp` `cbrt-unprod` `distribute-lft-out--`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
3×	`sub-neg` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `*-commutative` `associate-/l/` `distribute-lft-out`
1×	`frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 249

Calls

4 calls:

27.0ms	(- (sqrt 1.0) (sqrt m))
31.0ms	(/ (* m (- 1.0 m)) v)
201.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))
224.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))

series497.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (sqrt 1.0) (sqrt m))
50.0ms	(/ (* m (- 1.0 m)) v)
173.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))
212.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))

simplify933.0ms

Counts

261 → 261

Iterations

Useful iterations: done (911.0ms)

Iter	Nodes	Cost
0	381	9463
1	1135	7609
done	5001	6562

prune618.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* m (- 1.0 m))
0.1b	(/ v (* m (- 1.0 m)))
0.1b	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (- 1.0 m))
0.2b	(/ 1 (/ v (* m (- 1.0 m))))

rewrite500.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 194

Calls

4 calls:

30.0ms	(* m (- 1.0 m))
13.0ms	(/ v (* m (- 1.0 m)))
393.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (- 1.0 m))
47.0ms	(/ 1 (/ v (* m (- 1.0 m))))

series295.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* m (- 1.0 m))
63.0ms	(/ v (* m (- 1.0 m)))
82.0ms	(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) (- 1.0 m))
71.0ms	(/ 1 (/ v (* m (- 1.0 m))))

simplify1.9s

Counts

206 → 206

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	327	3902
1	704	3366
2	2116	2782
done	5001	2681

prune479.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite234.0ms

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:

39.0ms	(* m (- 1.0 m))
39.0ms	(/ (* m (- 1.0 m)) v)
147.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series207.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(* m (- 1.0 m))
57.0ms	(/ (* m (- 1.0 m)) v)
57.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.4s

Counts

134 → 134

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	223	2618
1	499	2242
2	1674	1959
done	5002	1880

prune355.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes105.0ms

Accuracy

0% (0.0b 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	8	13
1	10	13
done	10	13

end0.0ms

sample2.1s

Algorithm

intervals

Results

824.0ms	13779×	pre	80	true
771.0ms	13779×	body	80	valid