Details

sample73.0ms

Algorithm

intervals

Results

23.0ms	129×	pre	10240	exit
10.0ms	127×	pre	80	true
10.0ms	256×	body	80	valid

simplify26.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	10
0	6

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize25.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
7.6b	(- (/ x0 (- 1.0 x1)) x0)

rewrite516.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`times-frac`
12×	`add-cube-cbrt`
6×	`difference-of-squares`
5×	`associate-/r*` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 54

Calls

2 calls:

27.0ms	(/ x0 (- 1.0 x1))
486.0ms	(- (/ x0 (- 1.0 x1)) x0)

series146.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(/ x0 (- 1.0 x1))
72.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify4.0s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
3	2734
2	808
1	266
0	119

prune493.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 7.3b

localize87.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
0.7b	(/ x0 (- 1.0 x1))
0.7b	(* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1)))
5.6b	(- (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 (* x0 x0)))

rewrite474.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
49×	`add-cbrt-cube` `add-exp-log`
46×	`times-frac`
33×	`add-cube-cbrt`
23×	`pow1`
21×	`associate-r`
18×	`prod-exp` `cbrt-unprod`
15×	`cbrt-undiv` `div-exp`
11×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r*`
6×	`pow-plus` `associate-/r/` `pow-prod-up` `associate-/l*` `add-log-exp`
5×	`frac-times` `associate-*l/`
4×	`flip3--` `insert-posit16` `flip--`
3×	`pow-prod-down` `associate-*r/` `div-inv`
2×	`pow2` `clear-num` `frac-2neg` `pow3` `pow-sqr` `unswap-sqr`
1×	`difference-cubes` `sub-neg` `diff-log` `cube-unmult` `associate-l` `*-commutative`

Counts

4 → 161

Calls

4 calls:

30.0ms	(/ x0 (- 1.0 x1))
29.0ms	(/ x0 (- 1.0 x1))
177.0ms	(* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1)))
212.0ms	(- (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 (* x0 x0)))

series432.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ x0 (- 1.0 x1))
49.0ms	(/ x0 (- 1.0 x1))
147.0ms	(* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1)))
183.0ms	(- (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 (* x0 x0)))

simplify4.2s

Counts

173 → 173

Iterations

Iter	Nodes
done	5010
2	2650
1	605
0	212

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 5.6b

localize144.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
0.7b	(/ x0 (- 1.0 x1))
0.7b	(/ x0 (- 1.0 x1))
5.6b	(- (/ (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) x0) (- 1.0 x1)) (* x0 (* x0 x0)))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
34×	`add-cube-cbrt`
15×	`associate-/r*`
12×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/l*`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `flip3--` `insert-posit16` `flip--`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`sub-neg` `diff-log`

Counts

4 → 127

Calls

4 calls:

24.0ms	(/ x0 (- 1.0 x1))
17.0ms	(/ x0 (- 1.0 x1))
14.0ms	(/ x0 (- 1.0 x1))
180.0ms	(- (/ (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) x0) (- 1.0 x1)) (* x0 (* x0 x0)))

series314.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ x0 (- 1.0 x1))
51.0ms	(/ x0 (- 1.0 x1))
47.0ms	(/ x0 (- 1.0 x1))
167.0ms	(- (/ (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) x0) (- 1.0 x1)) (* x0 (* x0 x0)))

simplify2.2s

Counts

139 → 139

Iterations

Iter	Nodes
done	5001
2	1209
1	312
0	129

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.6b

localize209.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
0.7b	(* (/ x0 (- 1.0 x1)) (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))))
0.9b	(cbrt (* (/ x0 (- 1.0 x1)) (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1)))))
5.6b	(- (/ (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) x0) (- 1.0 x1)) (* x0 (* x0 x0)))

rewrite500.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-cbrt-cube` `add-exp-log`
40×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-l`
18×	`pow1` `prod-exp` `cbrt-unprod`
14×	`cbrt-undiv` `div-exp`
10×	`frac-times` `associate-*r/`
7×	`cbrt-div` `distribute-lft-out--` `difference-of-squares`
6×	`associate-*l/` `add-log-exp`
5×	`associate-/r*` `pow-prod-up`
4×	`associate-/r/` `insert-posit16`
3×	`flip3--` `pow-prod-down` `flip--` `associate-/l*`
2×	`cube-unmult` `div-inv` `unswap-sqr`
1×	`cbrt-prod` `pow2` `clear-num` `sub-neg` `frac-2neg` `pow-plus` `pow1/3` `diff-log` `associate-r` `pow-sqr` `*-commutative` `rem-cbrt-cube`

Counts

4 → 136

Calls

4 calls:

23.0ms	(/ x0 (- 1.0 x1))
144.0ms	(* (/ x0 (- 1.0 x1)) (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))))
111.0ms	(cbrt (* (/ x0 (- 1.0 x1)) (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1)))))
206.0ms	(- (/ (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) x0) (- 1.0 x1)) (* x0 (* x0 x0)))

series417.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ x0 (- 1.0 x1))
105.0ms	(* (/ x0 (- 1.0 x1)) (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))))
97.0ms	(cbrt (* (/ x0 (- 1.0 x1)) (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1)))))
167.0ms	(- (/ (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) x0) (- 1.0 x1)) (* x0 (* x0 x0)))

simplify3.7s

Counts

148 → 148

Iterations

Iter	Nodes
done	5018
2	3173
1	669
0	246

prune947.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 5.6b

regimes262.0ms

Accuracy

0% (0.7b remaining)

Error of 6.1b against oracle of 5.4b and baseline of 6.1b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	23
1	23
0	17

end0.0ms

sample942.0ms

Algorithm

intervals

Results

424.0ms	4017×	pre	10240	exit
196.0ms	8000×	body	80	valid
125.0ms	3983×	pre	80	true