Details

sample289.0ms

Algorithm

intervals

Results

36.0ms	442×	body	80	valid
17.0ms	442×	pre	80	true

simplify9.4s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 3 expressions with local error:

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

rewrite381.0ms

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` `insert-posit16` `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 → 128

Calls

3 calls:

47.0ms	(* m (- 1.0 m))
49.0ms	(/ (* m (- 1.0 m)) v)
259.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series255.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(* m (- 1.0 m))
68.0ms	(/ (* m (- 1.0 m)) v)
103.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify3.5s

Counts

137 → 137

Iterations

Iter	Nodes
done	5005
2	1915
1	590
0	226

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize92.0ms

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)))

rewrite743.0ms

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` `insert-posit16` `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 → 237

Calls

4 calls:

41.0ms	(* m (- 1.0 m))
36.0ms	(/ (* m (- 1.0 m)) v)
378.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
232.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

series528.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* m (- 1.0 m))
60.0ms	(/ (* m (- 1.0 m)) v)
188.0ms	(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
201.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify3.3s

Counts

249 → 249

Iterations

Iter	Nodes
done	5001
1	1388
0	432

prune2.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize121.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (/ m (/ v (- 1.0 m))) 1.0) (fma 1.0 (sqrt 1.0) (* (sqrt m) m)))
0.2b	(* (sqrt m) m)
0.5b	(* (sqrt m) (sqrt m))
1.0b	(/ (* (- (/ m (/ v (- 1.0 m))) 1.0) (fma 1.0 (sqrt 1.0) (* (sqrt m) m))) (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m)))))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
27×	`pow1`
22×	`sqrt-prod`
21×	`*-un-lft-identity`
19×	`associate-l` `add-cube-cbrt`
15×	`add-cbrt-cube` `add-exp-log`
12×	`associate-r`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
7×	`pow-prod-up` `unswap-sqr`
6×	`times-frac`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-*l/` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow-plus` `pow-sqr` `-commutative` `difference-of-squares`
2×	`cbrt-undiv` `flip3--` `div-exp` `associate-/r/` `fma-udef` `flip--` `associate-/l/`
1×	`pow2` `distribute-rgt-in` `clear-num` `rem-square-sqrt` `frac-2neg` `distribute-lft-in` `flip3-+` `sqrt-unprod` `cube-unmult` `flip-+` `div-inv` `associate-/l*` `distribute-lft-out--`

Counts

4 → 139

Calls

4 calls:

526.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (fma 1.0 (sqrt 1.0) (* (sqrt m) m)))
14.0ms	(* (sqrt m) m)
18.0ms	(* (sqrt m) (sqrt m))
478.0ms	(/ (* (- (/ m (/ v (- 1.0 m))) 1.0) (fma 1.0 (sqrt 1.0) (* (sqrt m) m))) (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m)))))

series2.0s

Counts

4 → 12

Calls

4 calls:

215.0ms	(* (- (/ m (/ v (- 1.0 m))) 1.0) (fma 1.0 (sqrt 1.0) (* (sqrt m) m)))
57.0ms	(* (sqrt m) m)
19.0ms	(* (sqrt m) (sqrt m))
1.7s	(/ (* (- (/ m (/ v (- 1.0 m))) 1.0) (fma 1.0 (sqrt 1.0) (* (sqrt m) m))) (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m)))))

simplify6.0s

Counts

151 → 151

Iterations

Iter	Nodes
done	5007
2	3009
1	843
0	297

prune1.9s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize132.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ m (/ v (- 1.0 m)))
0.2b	(* (sqrt m) m)
0.5b	(* (sqrt m) (sqrt m))
1.9b	(/ (* (- (* 1.0 (sqrt 1.0)) (* (sqrt m) m)) (* (- (/ m (/ v (- 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m)))) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m)))))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
116×	`add-sqr-sqrt`
99×	`*-un-lft-identity`
75×	`add-cube-cbrt`
28×	`frac-times`
26×	`associate-/l/`
25×	`pow1`
24×	`associate-/r*`
22×	`flip3--` `add-cbrt-cube` `add-exp-log` `sqrt-prod` `flip--`
14×	`associate-*r/`
12×	`associate-l` `distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
9×	`associate-r`
8×	`swap-sqr` `associate-*l/`
7×	`pow-prod-up`
6×	`cbrt-undiv` `div-exp` `div-inv` `unswap-sqr`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`pow-plus` `pow-sqr`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`pow2` `rem-square-sqrt` `sqrt-unprod` `cube-unmult`

Counts

4 → 241

Calls

4 calls:

25.0ms	(/ m (/ v (- 1.0 m)))
29.0ms	(* (sqrt m) m)
20.0ms	(* (sqrt m) (sqrt m))
890.0ms	(/ (* (- (* 1.0 (sqrt 1.0)) (* (sqrt m) m)) (* (- (/ m (/ v (- 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m)))) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m)))))

series3.1s

Counts

4 → 12

Calls

4 calls:

78.0ms	(/ m (/ v (- 1.0 m)))
52.0ms	(* (sqrt m) m)
23.0ms	(* (sqrt m) (sqrt m))
3.0s	(/ (* (- (* 1.0 (sqrt 1.0)) (* (sqrt m) m)) (* (- (/ m (/ v (- 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m)))) (+ (* (sqrt 1.0) (sqrt 1.0)) (+ (* (sqrt m) (sqrt m)) (* (sqrt 1.0) (sqrt m)))))

simplify4.2s

Counts

253 → 253

Iterations

Iter	Nodes
done	5000
1	1602
0	523

prune3.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes484.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample1.7s

Algorithm

intervals

Results

747.0ms	13687×	body	80	valid
445.0ms	13687×	pre	80	true