Details

sample76.0ms

Algorithm

intervals

Results

27.0ms	131×	pre	10240	exit
13.0ms	125×	pre	80	true
11.0ms	256×	body	80	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
7.6b	(- (/ x0 (- 1.0 x1)) x0)

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

106×	`add-sqr-sqrt`
103×	`*-un-lft-identity`
76×	`times-frac`
69×	`add-cube-cbrt`
63×	`prod-diff`
21×	`fma-neg`
18×	`difference-of-squares`
17×	`distribute-lft-out--`
10×	`associate-/r/`
6×	`flip3--` `flip--`
5×	`associate-/r*` `div-inv`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num`

Counts

2 → 140

Calls

2 calls:

25.0ms	(/ x0 (- 1.0 x1))
145.0ms	(- (/ x0 (- 1.0 x1)) x0)

series162.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ x0 (- 1.0 x1))
94.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify1.6s

Counts

146 → 146

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	190	2805
1	453	2297
2	1477	1848
done	5000	1715

prune609.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.1b

localize26.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (cbrt x0) (- 1.0 x1))
6.4b	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
21×	`add-cube-cbrt`
18×	`cbrt-prod`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/l*`
5×	`associate-/r*`
4×	`add-exp-log`
3×	`add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 67

Calls

2 calls:

21.0ms	(/ (cbrt x0) (- 1.0 x1))
1.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

series283.0ms

Counts

2 → 6

Calls

2 calls:

139.0ms	(/ (cbrt x0) (- 1.0 x1))
144.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

simplify883.0ms

Counts

73 → 73

Iterations

Useful iterations: done (879.0ms)

Iter	Nodes	Cost
0	151	1049
1	314	968
2	1105	878
done	5001	849

prune426.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 5.1b

localize27.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (sqrt x0) (- (sqrt 1.0) (sqrt x1)))
6.8b	(fma (/ (sqrt x0) (+ (sqrt 1.0) (sqrt x1))) (/ (sqrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt`
72×	`sqrt-prod`
57×	`*-un-lft-identity`
54×	`times-frac`
29×	`add-cube-cbrt`
28×	`difference-of-squares`
14×	`distribute-lft-out--`
9×	`associate-/r*`
6×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 95

Calls

2 calls:

38.0ms	(/ (sqrt x0) (- (sqrt 1.0) (sqrt x1)))
1.0ms	(fma (/ (sqrt x0) (+ (sqrt 1.0) (sqrt x1))) (/ (sqrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

series696.0ms

Counts

2 → 6

Calls

2 calls:

226.0ms	(/ (sqrt x0) (- (sqrt 1.0) (sqrt x1)))
470.0ms	(fma (/ (sqrt x0) (+ (sqrt 1.0) (sqrt x1))) (/ (sqrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

simplify956.0ms

Counts

101 → 101

Iterations

Useful iterations: done (951.0ms)

Iter	Nodes	Cost
0	169	1872
1	374	1737
2	1387	1605
done	5001	1580

prune432.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 5.1b

localize43.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (cbrt x0) (- (sqrt 1.0) (sqrt x1)))
6.8b	(fma (/ (* (cbrt x0) (cbrt x0)) (+ (sqrt 1.0) (sqrt x1))) (/ (cbrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
54×	`times-frac`
42×	`sqrt-prod`
30×	`cbrt-prod`
29×	`add-cube-cbrt`
28×	`difference-of-squares`
14×	`distribute-lft-out--`
9×	`associate-/r*`
6×	`associate-/l*`
4×	`add-exp-log`
3×	`add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 95

Calls

2 calls:

35.0ms	(/ (cbrt x0) (- (sqrt 1.0) (sqrt x1)))
1.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ (sqrt 1.0) (sqrt x1))) (/ (cbrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

series726.0ms

Counts

2 → 6

Calls

2 calls:

373.0ms	(/ (cbrt x0) (- (sqrt 1.0) (sqrt x1)))
352.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ (sqrt 1.0) (sqrt x1))) (/ (cbrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

simplify1.4s

Counts

101 → 101

Iterations

Useful iterations: 2 (466.0ms)

Iter	Nodes	Cost
0	221	2097
1	525	1968
2	2402	1820
done	5000	1820

prune513.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 5.1b

regimes168.0ms

Accuracy

0% (2.1b remaining)

Error of 6.9b against oracle of 4.9b and baseline of 6.9b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	11	16
1	13	14
done	13	14

end0.0ms

sample1.9s

Algorithm

intervals

Results

736.0ms	4025×	pre	10240	exit
528.0ms	3975×	pre	80	true
334.0ms	8000×	body	80	valid