Details

sample30.0ms

Algorithm

intervals

Results

15.0ms	132×	pre	10240	exit
4.0ms	256×	body	80	valid
2.0ms	124×	pre	80	true

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize4.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
7.2b	(- (/ x0 (- 1.0 x1)) x0)

rewrite36.0ms

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:

5.0ms	(/ x0 (- 1.0 x1))
30.0ms	(- (/ x0 (- 1.0 x1)) x0)

series75.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ x0 (- 1.0 x1))
43.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify1.1s

Counts

58 → 58

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	117	677
1	244	641
2	681	613
3	2699	593
done	5000	592

prune88.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.8b

localize8.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
0.7b	(/ x0 (- 1.0 x1))
0.8b	(+ (/ x0 (- 1.0 x1)) x0)
6.1b	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
30×	`times-frac`
24×	`add-cube-cbrt`
10×	`associate-/r*`
9×	`difference-of-squares`
8×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp`
6×	`associate-/l*`
4×	`pow1` `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 → 99

Calls

4 calls:

5.0ms	(/ x0 (- 1.0 x1))
5.0ms	(/ x0 (- 1.0 x1))
23.0ms	(+ (/ x0 (- 1.0 x1)) x0)
10.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series173.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ x0 (- 1.0 x1))
32.0ms	(/ x0 (- 1.0 x1))
36.0ms	(+ (/ x0 (- 1.0 x1)) x0)
70.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify574.0ms

Counts

111 → 111

Iterations

Useful iterations: done (571.0ms)

Iter	Nodes	Cost
0	149	1443
1	338	1351
2	1121	1259
done	5000	1217

prune181.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
0.8b	(+ (/ x0 (- 1.0 x1)) x0)
3.7b	(log (exp (- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))))
6.1b	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

5.0ms	(/ x0 (- 1.0 x1))
22.0ms	(+ (/ x0 (- 1.0 x1)) x0)
33.0ms	(log (exp (- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))))
10.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series205.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ x0 (- 1.0 x1))
36.0ms	(+ (/ x0 (- 1.0 x1)) x0)
70.0ms	(log (exp (- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))))
67.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify449.0ms

Counts

93 → 93

Iterations

Useful iterations: done (446.0ms)

Iter	Nodes	Cost
0	175	1505
1	370	1399
2	1176	1271
done	5000	1227

prune196.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 4.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
0.8b	(+ (/ x0 (- 1.0 x1)) x0)
0.8b	(/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1)))
6.1b	(- (* (/ x0 (- 1.0 x1)) (* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

5.0ms	(/ x0 (- 1.0 x1))
22.0ms	(+ (/ x0 (- 1.0 x1)) x0)
8.0ms	(/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1)))
69.0ms	(- (* (/ x0 (- 1.0 x1)) (* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))

series314.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ x0 (- 1.0 x1))
36.0ms	(+ (/ x0 (- 1.0 x1)) x0)
161.0ms	(/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1)))
85.0ms	(- (* (/ x0 (- 1.0 x1)) (* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))

simplify625.0ms

Counts

106 → 106

Iterations

Useful iterations: done (617.0ms)

Iter	Nodes	Cost
0	251	1840
1	608	1744
2	2209	1510
done	5000	1492

prune246.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.3b

regimes57.0ms

Accuracy

76.7% (0.5b remaining)

Error of 5.0b against oracle of 4.5b and baseline of 6.7b

bsearch31.0ms

Steps

Iters	Range		Point
7	0.000209	0.0186	0.018204597656249998

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	84
1	31	84
done	31	84

end0.0ms

sample671.0ms

Algorithm

intervals

Results

346.0ms	3916×	pre	10240	exit
137.0ms	8000×	body	80	valid
60.0ms	4084×	pre	80	true