Details

sample68.0ms

Algorithm

intervals

Results

24.0ms	125×	pre	10240	exit
10.0ms	256×	body	80	valid
10.0ms	131×	pre	80	true

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	12	7
done	12	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
7.5b	(- (/ x0 (- 1.0 x1)) x0)

rewrite70.0ms

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/` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 52

Calls

2 calls:

9.0ms	(/ x0 (- 1.0 x1))
60.0ms	(- (/ x0 (- 1.0 x1)) x0)

series132.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ x0 (- 1.0 x1))
64.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify1.6s

Counts

58 → 58

Iterations

Useful iterations: 3 (831.0ms)

Iter	Nodes	Cost
0	117	677
1	264	641
2	873	607
3	3811	601
done	5002	601

prune149.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 7.1b

localize17.0ms

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))
6.2b	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

10.0ms	(/ x0 (- 1.0 x1))
8.0ms	(/ x0 (- 1.0 x1))
8.0ms	(/ x0 (- 1.0 x1))
22.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series256.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ x0 (- 1.0 x1))
37.0ms	(/ x0 (- 1.0 x1))
67.0ms	(/ x0 (- 1.0 x1))
100.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify646.0ms

Counts

136 → 136

Iterations

Useful iterations: done (643.0ms)

Iter	Nodes	Cost
0	129	1682
1	324	1620
2	1550	1474
done	5000	1450

prune470.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.7b	(+ (/ x0 (- 1.0 x1)) x0)
0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
6.2b	(- (* (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

31.0ms	(+ (/ x0 (- 1.0 x1)) x0)
8.0ms	(/ x0 (- 1.0 x1))
9.0ms	(/ x0 (- 1.0 x1))
65.0ms	(- (* (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series339.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (/ x0 (- 1.0 x1)) x0)
36.0ms	(/ x0 (- 1.0 x1))
38.0ms	(/ x0 (- 1.0 x1))
223.0ms	(- (* (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify697.0ms

Counts

110 → 110

Iterations

Useful iterations: done (694.0ms)

Iter	Nodes	Cost
0	152	1573
1	403	1501
2	2055	1401
done	5000	1399

prune352.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.3b

localize33.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
3.9b	(log (exp (- (* (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))))
6.2b	(- (* (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

8.0ms	(/ x0 (- 1.0 x1))
8.0ms	(/ x0 (- 1.0 x1))
179.0ms	(log (exp (- (* (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))))
55.0ms	(- (* (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series486.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ x0 (- 1.0 x1))
35.0ms	(/ x0 (- 1.0 x1))
205.0ms	(log (exp (- (* (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))))
207.0ms	(- (* (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify640.0ms

Counts

116 → 116

Iterations

Useful iterations: done (637.0ms)

Iter	Nodes	Cost
0	155	2049
1	375	1963
2	1784	1785
done	5002	1783

prune401.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.1b

regimes99.0ms

Accuracy

61.9% (0.7b remaining)

Error of 4.7b against oracle of 4.0b and baseline of 5.8b

bsearch38.0ms

Steps

Iters	Range		Point
7	0.000209	0.0186	0.00021208908081054686

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	65
1	35	65
done	35	65

end0.0ms

sample1.1s

Algorithm

intervals

Results

437.0ms	8000×	body	80	valid
428.0ms	3928×	pre	10240	exit
83.0ms	4072×	pre	80	true