Details

sample81.0ms

Algorithm

intervals

Results

32.0ms	135×	pre	10240	exit
22.0ms	256×	body	80	valid
4.0ms	121×	pre	80	true

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	10
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize15.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
7.4b	(- (/ x0 (- 1.0 x1)) x0)

rewrite130.0ms

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-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 52

Calls

2 calls:

22.0ms	(/ x0 (- 1.0 x1))
104.0ms	(- (/ x0 (- 1.0 x1)) x0)

series146.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(/ x0 (- 1.0 x1))
76.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify3.1s

Counts

58 → 58

Iterations

Iter	Nodes
done	5009
3	2585
2	805
1	265
0	117

prune356.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.9b

localize84.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
0.8b	(* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1)))
0.8b	(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (/ x0 (- 1.0 x1)) x0)))
5.5b	(- (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 (* x0 x0)))

rewrite494.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log` `add-cbrt-cube`
40×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`pow1` `add-cube-cbrt`
21×	`associate-r`
18×	`prod-exp` `cbrt-unprod`
14×	`cbrt-undiv` `div-exp`
11×	`add-log-exp`
7×	`frac-times` `associate-*l/` `distribute-lft-out--` `difference-of-squares`
6×	`pow-plus` `frac-add` `pow-prod-up`
5×	`associate-r/` `associate-/r`
4×	`flip3-+` `associate-/r/` `flip-+`
3×	`flip3--` `pow-prod-down` `sum-log` `flip--` `associate-/l*`
2×	`pow2` `pow3` `pow-sqr` `div-inv` `unswap-sqr`
1×	`difference-cubes` `+-commutative` `sub-neg` `associate-+r+` `frac-2neg` `cube-unmult` `diff-log` `associate-l` `clear-num` `*-commutative`

Counts

4 → 139

Calls

4 calls:

27.0ms	(/ x0 (- 1.0 x1))
190.0ms	(* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1)))
72.0ms	(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (/ x0 (- 1.0 x1)) x0)))
191.0ms	(- (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 (* x0 x0)))

series549.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ x0 (- 1.0 x1))
135.0ms	(* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1)))
184.0ms	(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (/ x0 (- 1.0 x1)) x0)))
167.0ms	(- (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* x0 (* x0 x0)))

simplify5.3s

Counts

151 → 151

Iterations

Iter	Nodes
done	5002
2	4355
1	864
0	274

prune879.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.5b

localize82.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
0.8b	(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (/ x0 (- 1.0 x1)) x0)))
5.5b	(- (/ (/ (* x0 (* x0 x0)) (- 1.0 x1)) (* (- 1.0 x1) (- 1.0 x1))) (* x0 (* x0 x0)))

rewrite360.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
24×	`add-cube-cbrt`
11×	`add-log-exp`
10×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
6×	`frac-add` `associate-/l*`
4×	`pow1` `flip3-+` `associate-/r/` `flip-+`
3×	`flip3--` `sum-log` `flip--`
2×	`cbrt-undiv` `frac-times` `frac-2neg` `associate-r/` `div-exp` `associate-l/` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `associate-+r+` `diff-log`

Counts

4 → 105

Calls

4 calls:

21.0ms	(/ x0 (- 1.0 x1))
23.0ms	(/ x0 (- 1.0 x1))
67.0ms	(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (/ x0 (- 1.0 x1)) x0)))
243.0ms	(- (/ (/ (* x0 (* x0 x0)) (- 1.0 x1)) (* (- 1.0 x1) (- 1.0 x1))) (* x0 (* x0 x0)))

series487.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(/ x0 (- 1.0 x1))
65.0ms	(/ x0 (- 1.0 x1))
183.0ms	(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (/ x0 (- 1.0 x1)) x0)))
171.0ms	(- (/ (/ (* x0 (* x0 x0)) (- 1.0 x1)) (* (- 1.0 x1) (- 1.0 x1))) (* x0 (* x0 x0)))

simplify3.7s

Counts

117 → 117

Iterations

Iter	Nodes
done	5008
2	2772
1	587
0	197

prune889.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.0b

localize137.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
0.8b	(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (/ x0 (- 1.0 x1)) x0)))
5.5b	(- (* (/ (/ (* x0 (* x0 x0)) (- 1.0 x1)) (* (- 1.0 x1) (- 1.0 x1))) (/ (/ (* x0 (* x0 x0)) (- 1.0 x1)) (* (- 1.0 x1) (- 1.0 x1)))) (* (* x0 (* x0 x0)) (* x0 (* x0 x0))))

rewrite495.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
24×	`add-cube-cbrt`
11×	`add-log-exp`
10×	`associate-/r*`
9×	`difference-of-squares`
8×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
6×	`frac-add` `associate-/l*`
4×	`pow1` `flip3-+` `associate-/r/` `flip-+`
3×	`flip3--` `sum-log` `flip--`
2×	`cbrt-undiv` `frac-times` `frac-2neg` `associate-r/` `div-exp` `associate-l/` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `associate-+r+` `diff-log`

Counts

4 → 106

Calls

4 calls:

24.0ms	(/ x0 (- 1.0 x1))
24.0ms	(/ x0 (- 1.0 x1))
66.0ms	(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (/ x0 (- 1.0 x1)) x0)))
373.0ms	(- (* (/ (/ (* x0 (* x0 x0)) (- 1.0 x1)) (* (- 1.0 x1) (- 1.0 x1))) (/ (/ (* x0 (* x0 x0)) (- 1.0 x1)) (* (- 1.0 x1) (- 1.0 x1)))) (* (* x0 (* x0 x0)) (* x0 (* x0 x0))))

series554.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ x0 (- 1.0 x1))
79.0ms	(/ x0 (- 1.0 x1))
177.0ms	(+ (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (+ (* x0 x0) (* (/ x0 (- 1.0 x1)) x0)))
230.0ms	(- (* (/ (/ (* x0 (* x0 x0)) (- 1.0 x1)) (* (- 1.0 x1) (- 1.0 x1))) (/ (/ (* x0 (* x0 x0)) (- 1.0 x1)) (* (- 1.0 x1) (- 1.0 x1)))) (* (* x0 (* x0 x0)) (* x0 (* x0 x0))))

simplify4.3s

Counts

118 → 118

Iterations

Iter	Nodes
done	5017
2	2889
1	621
0	203

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.3b

regimes209.0ms

Accuracy

0% (1.2b remaining)

Error of 5.5b against oracle of 4.3b and baseline of 5.5b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	27
1	27
0	22

end0.0ms

sample1.7s

Algorithm

intervals

Results

803.0ms	3969×	pre	10240	exit
484.0ms	8000×	body	80	valid
154.0ms	4031×	pre	80	true