Details

sample41.0ms

Algorithm

intervals

Results

20.0ms	132×	pre	10240	exit
5.0ms	256×	body	80	valid
2.0ms	124×	pre	80	true

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	123
1	10	123
2	12	123
done	12	123

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
6.8b	(- (/ x0 (- 1.0 x1)) x0)

rewrite100.0ms

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-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp`

Counts

2 → 140

Calls

2 calls:

9.0ms	(/ x0 (- 1.0 x1))
86.0ms	(- (/ x0 (- 1.0 x1)) x0)

series121.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ x0 (- 1.0 x1))
65.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify3.0s

Counts

146 → 146

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	190	55020
1	450	46188
2	1167	35510
3	4183	31376
done	5000	31246

prune390.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.3b

localize27.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (sqrt x0) (- (sqrt 1.0) (sqrt x1)))
5.7b	(fma (/ (sqrt x0) (+ (sqrt 1.0) (sqrt x1))) (/ (sqrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

rewrite39.0ms

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-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 95

Calls

2 calls:

32.0ms	(/ (sqrt x0) (- (sqrt 1.0) (sqrt x1)))
0.0ms	(fma (/ (sqrt x0) (+ (sqrt 1.0) (sqrt x1))) (/ (sqrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

series614.0ms

Counts

2 → 6

Calls

2 calls:

199.0ms	(/ (sqrt x0) (- (sqrt 1.0) (sqrt x1)))
416.0ms	(fma (/ (sqrt x0) (+ (sqrt 1.0) (sqrt x1))) (/ (sqrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

simplify2.6s

Counts

101 → 101

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	169	47918
1	375	43155
2	1007	42536
3	3032	39903
done	5001	39903

prune267.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.3b

localize21.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (cbrt x0) (- 1.0 x1))
5.8b	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

rewrite20.0ms

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×	`expm1-log1p-u` `pow1` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 67

Calls

2 calls:

17.0ms	(/ (cbrt x0) (- 1.0 x1))
1.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

series202.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(/ (cbrt x0) (- 1.0 x1))
112.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1.0 x1)) (- x0))

simplify2.3s

Counts

73 → 73

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	151	28349
1	314	24813
2	920	24417
3	3803	24257
done	5000	24217

prune247.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 4.3b

localize20.0ms

Local error

Found 2 expressions with local error:

0.6b	(/ (cbrt x0) (- (sqrt 1.0) (sqrt x1)))
6.3b	(fma (/ (* (cbrt x0) (cbrt x0)) (+ (sqrt 1.0) (sqrt x1))) (/ (cbrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

rewrite20.0ms

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×	`expm1-log1p-u` `pow1` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 95

Calls

2 calls:

16.0ms	(/ (cbrt x0) (- (sqrt 1.0) (sqrt x1)))
0.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ (sqrt 1.0) (sqrt x1))) (/ (cbrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

series468.0ms

Counts

2 → 6

Calls

2 calls:

235.0ms	(/ (cbrt x0) (- (sqrt 1.0) (sqrt x1)))
233.0ms	(fma (/ (* (cbrt x0) (cbrt x0)) (+ (sqrt 1.0) (sqrt x1))) (/ (cbrt x0) (- (sqrt 1.0) (sqrt x1))) (- x0))

simplify2.0s

Counts

101 → 101

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	226	56818
1	528	50534
2	1653	49787
done	5001	49637

prune268.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 4.3b

regimes117.0ms

Accuracy

0% (2.3b remaining)

Error of 7.3b against oracle of 5.0b and baseline of 7.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	378
1	13	378
done	13	378

end0.0ms

sample1.1s

Algorithm

intervals

Results

721.0ms	4022×	pre	10240	exit
174.0ms	8000×	body	80	valid
59.0ms	3978×	pre	80	true