Details

sample141.0ms

Algorithm

intervals

Results

14.0ms	412×	body	80	valid
7.0ms	412×	pre	80	true

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1353
4	359
3	105
2	40
1	16
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

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)

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
13×	`add-cbrt-cube` `add-exp-log`
10×	`associate-r` `add-cube-cbrt`
9×	`flip3--` `flip--`
8×	`pow1` `associate-l`
6×	`associate-*r/` `add-log-exp`
5×	`sub-neg`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `diff-log` `div-inv` `associate-/l*`

Counts

4 → 97

Calls

4 calls:

26.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
16.0ms	(* m (- 1.0 m))
95.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
21.0ms	(/ (* m (- 1.0 m)) v)

series250.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (/ (* m (- 1.0 m)) v) 1.0)
77.0ms	(* m (- 1.0 m))
59.0ms	(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
72.0ms	(/ (* m (- 1.0 m)) v)

simplify1.6s

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
2	2243
1	432
0	155

prune551.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

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

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

46.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
19.0ms	(/ (* m (- 1.0 m)) v)
12.0ms	(/ (* m (- 1.0 m)) v)
78.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

series227.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(+ (* 1.0 (- (/ (* m (- 1.0 m)) v) 1.0)) (* (- m) (- (/ (* m (- 1.0 m)) v) 1.0)))
53.0ms	(/ (* m (- 1.0 m)) v)
53.0ms	(/ (* m (- 1.0 m)) v)
50.0ms	(* (- m) (- (/ (* m (- 1.0 m)) v) 1.0))

simplify1.9s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
2	3261
1	559
0	174

prune642.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- m) (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0))
0.3b	(/ (* m (- 1.0 m)) (sqrt v))
0.3b	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

113×	`times-frac`
67×	`add-sqr-sqrt`
61×	`sqrt-prod`
59×	`*-un-lft-identity`
57×	`add-cube-cbrt`
25×	`add-cbrt-cube` `add-exp-log`
15×	`associate-/r*`
12×	`associate-/l*`
10×	`associate-l` `div-inv`
9×	`cbrt-undiv` `div-exp`
7×	`associate-r`
6×	`pow1` `associate-*r/`
5×	`associate-/l/`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`distribute-lft-neg-in` `clear-num` `distribute-rgt-neg-in` `frac-2neg` `flip3--` `flip--` `difference-of-squares`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`distribute-lft-neg-out` `neg-mul-1` `pow-prod-down` `*-commutative` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 181

Calls

4 calls:

13.0ms	(/ (* m (- 1.0 m)) v)
183.0ms	(* (- m) (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0))
18.0ms	(/ (* m (- 1.0 m)) (sqrt v))
33.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

series289.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (* m (- 1.0 m)) v)
75.0ms	(* (- m) (- (/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v)) 1.0))
91.0ms	(/ (* m (- 1.0 m)) (sqrt v))
81.0ms	(/ (/ (* m (- 1.0 m)) (sqrt v)) (sqrt v))

simplify2.9s

Counts

193 → 193

Iterations

Iter	Nodes
done	5001
2	4645
1	812
0	286

prune974.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* m (- 1.0 m)) v)
0.1b	(* (- m) (- (/ (/ (* m (- (* 1.0 1.0) (* m m))) (* (sqrt v) (+ 1.0 m))) (sqrt v)) 1.0))
0.3b	(/ (* m (- (* 1.0 1.0) (* m m))) (* (sqrt v) (+ 1.0 m)))
0.3b	(/ (/ (* m (- (* 1.0 1.0) (* m m))) (* (sqrt v) (+ 1.0 m))) (sqrt v))

rewrite378.0ms

Algorithm

rewrite-expression-head

Rules

55×	`times-frac`
43×	`add-sqr-sqrt`
41×	`add-cbrt-cube` `add-exp-log`
35×	`*-un-lft-identity`
33×	`add-cube-cbrt`
25×	`sqrt-prod`
22×	`associate-*r/`
16×	`associate-/r/`
15×	`cbrt-undiv` `div-exp`
10×	`associate-/r` `associate-l*` `prod-exp` `cbrt-unprod` `div-inv`
9×	`associate-/l*`
8×	`flip3-+` `flip-+`
7×	`associate-r`
6×	`pow1`
5×	`associate-/l/`
4×	`add-log-exp`
3×	`distribute-lft-neg-in` `clear-num` `distribute-rgt-neg-in` `frac-2neg` `flip3--` `flip--` `difference-of-squares`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`distribute-lft-neg-out` `neg-mul-1` `pow-prod-down` `*-commutative` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 160

Calls

4 calls:

25.0ms	(/ (* m (- 1.0 m)) v)
261.0ms	(* (- m) (- (/ (/ (* m (- (* 1.0 1.0) (* m m))) (* (sqrt v) (+ 1.0 m))) (sqrt v)) 1.0))
26.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* (sqrt v) (+ 1.0 m)))
54.0ms	(/ (/ (* m (- (* 1.0 1.0) (* m m))) (* (sqrt v) (+ 1.0 m))) (sqrt v))

series373.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (* m (- 1.0 m)) v)
105.0ms	(* (- m) (- (/ (/ (* m (- (* 1.0 1.0) (* m m))) (* (sqrt v) (+ 1.0 m))) (sqrt v)) 1.0))
106.0ms	(/ (* m (- (* 1.0 1.0) (* m m))) (* (sqrt v) (+ 1.0 m)))
117.0ms	(/ (/ (* m (- (* 1.0 1.0) (* m m))) (* (sqrt v) (+ 1.0 m))) (sqrt v))

simplify1.3s

Counts

172 → 172

Iterations

Iter	Nodes
done	5000
1	979
0	315

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes144.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify15.0ms

Iterations

Iter	Nodes
done	26
3	26
2	25
1	21
0	15

end0.0ms

sample1.5s

Algorithm

intervals

Results

704.0ms	13758×	body	80	valid
467.0ms	13758×	pre	80	true