Details

sample32.0ms

Algorithm

intervals

Results

12.0ms	112×	pre	10240	exit
5.0ms	256×	body	80	valid
2.0ms	144×	pre	80	true

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite121.0ms

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:

18.0ms	(/ x0 (- 1.0 x1))
101.0ms	(- (/ x0 (- 1.0 x1)) x0)

series126.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ x0 (- 1.0 x1))
71.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify1.9s

Counts

58 → 58

Iterations

Useful iterations: 3 (852.0ms)

Iter	Nodes	Cost
0	117	677
1	265	641
2	853	613
3	3930	601
done	5001	601

prune106.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 7.0b

localize15.0ms

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))

rewrite96.0ms

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

Counts

4 → 124

Calls

4 calls:

21.0ms	(/ x0 (- 1.0 x1))
18.0ms	(/ x0 (- 1.0 x1))
18.0ms	(/ x0 (- 1.0 x1))
33.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series247.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ x0 (- 1.0 x1))
46.0ms	(/ x0 (- 1.0 x1))
55.0ms	(/ x0 (- 1.0 x1))
108.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify770.0ms

Counts

136 → 136

Iterations

Useful iterations: done (765.0ms)

Iter	Nodes	Cost
0	129	1682
1	324	1620
2	1543	1492
done	5001	1450

prune326.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b	(+ x0 (/ 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 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

rewrite140.0ms

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-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
6×	`associate-/l*`
4×	`pow1` `distribute-rgt-in` `distribute-lft-in` `associate--l+` `associate-/r/`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 102

Calls

4 calls:

22.0ms	(+ x0 (/ x0 (- 1.0 x1)))
11.0ms	(/ x0 (- 1.0 x1))
13.0ms	(/ x0 (- 1.0 x1))
90.0ms	(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

series328.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ x0 (/ x0 (- 1.0 x1)))
36.0ms	(/ x0 (- 1.0 x1))
40.0ms	(/ x0 (- 1.0 x1))
211.0ms	(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

simplify896.0ms

Counts

114 → 114

Iterations

Useful iterations: 2 (284.0ms)

Iter	Nodes	Cost
0	163	1657
1	441	1583
2	2267	1495
done	5000	1495

prune253.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.4b

localize27.0ms

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

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

11.0ms	(/ x0 (- 1.0 x1))
11.0ms	(/ x0 (- 1.0 x1))
191.0ms	(log (exp (- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))))
69.0ms	(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

series474.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ x0 (- 1.0 x1))
38.0ms	(/ x0 (- 1.0 x1))
200.0ms	(log (exp (- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))))
201.0ms	(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

simplify861.0ms

Counts

124 → 124

Iterations

Useful iterations: 2 (273.0ms)

Iter	Nodes	Cost
0	187	2301
1	466	2199
2	2209	2033
done	5000	2033

prune326.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.2b

regimes42.0ms

Accuracy

0% (1.1b remaining)

Error of 5.1b against oracle of 4.0b and baseline of 5.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	49
1	26	49
done	26	49

end0.0ms

sample1.2s

Algorithm

intervals

Results

684.0ms	4028×	pre	10240	exit
185.0ms	8000×	body	80	valid
97.0ms	3972×	pre	80	true