Details

sample63.0ms

Algorithm

intervals

Results

43.0ms

358×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3495
5	1220
4	548
3	240
2	81
1	26
0	11

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
0.0b	(- (* d1 d2) (* d1 d3))
0.0b	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
7×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `diff-log` `add-cube-cbrt`
5×	`prod-diff`
4×	`sum-log` `fma-def` `fma-neg`
3×	`expm1-log1p-u` `pow1` `associate-+l+` `sub-neg` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `associate-+l-` `flip--` `distribute-lft-out--`
1×	`associate--l-` `+-commutative` `flip3-+` `associate--l+` `flip-+` `difference-of-squares`

Counts

3 → 67

Calls

3 calls:

28.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
13.0ms	(- (* d1 d2) (* d1 d3))
220.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

series179.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
46.0ms	(- (* d1 d2) (* d1 d3))
82.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

simplify1.5s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
2	1146
1	312
0	110

prune368.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- d4 d3) (- d2 d1))
0.0b	(* d1 (+ (- d4 d3) (- d2 d1)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`add-cube-cbrt`
14×	`add-log-exp`
11×	`associate-+l+` `associate-+r+`
9×	`distribute-lft-out--`
8×	`flip3--` `frac-add` `flip--` `distribute-lft-out`
7×	`associate-r`
6×	`associate-*r/`
5×	`fma-def`
4×	`pow1` `sum-log` `add-cbrt-cube` `diff-log` `add-exp-log`
3×	`associate-l`
2×	`expm1-log1p-u` `sub-neg` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u`
1×	`distribute-rgt-in` `+-commutative` `associate-+r-` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

2 → 87

Calls

2 calls:

37.0ms	(+ (- d4 d3) (- d2 d1))
87.0ms	(* d1 (+ (- d4 d3) (- d2 d1)))

series121.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (- d4 d3) (- d2 d1))
76.0ms	(* d1 (+ (- d4 d3) (- d2 d1)))

simplify1.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
2	2033
1	542
0	167

prune367.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt d1) (cbrt d1))
0.6b	(cbrt d1)
0.6b	(cbrt d1)
0.6b	(cbrt d1)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

15.0ms	(* (cbrt d1) (cbrt d1))
1.0ms	(cbrt d1)
1.0ms	(cbrt d1)
1.0ms	(cbrt d1)

series1.2s

Counts

4 → 12

Calls

4 calls:

335.0ms	(* (cbrt d1) (cbrt d1))
266.0ms	(cbrt d1)
297.0ms	(cbrt d1)
258.0ms	(cbrt d1)

simplify3.5s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
4	4658
3	1110
2	364
1	141
0	67

prune441.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* d1 d2) (* d1 d3))
0.2b	(* (+ (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1) (- (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1))
1.0b	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
1.0b	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))

rewrite782.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
37×	`prod-diff`
36×	`*-un-lft-identity`
32×	`add-cube-cbrt`
25×	`sqrt-prod`
20×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
6×	`add-cbrt-cube` `associate-r` `add-exp-log` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `frac-times` `flip3--` `sqrt-div` `associate-l` `insert-posit16` `log1p-expm1-u` `flip--`
3×	`sub-neg`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `associate-r/` `distribute-lft-out--` `difference-of-squares`
1×	`fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 127

Calls

4 calls:

15.0ms	(- (* d1 d2) (* d1 d3))
695.0ms	(* (+ (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1) (- (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1))
28.0ms	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
40.0ms	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))

series4.4s

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (* d1 d2) (* d1 d3))
3.8s	(* (+ (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1) (- (sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1))) d1))
287.0ms	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))
292.0ms	(sqrt (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)))

simplify2.5s

Counts

139 → 139

Iterations

Iter	Nodes
done	5006
2	2768
1	796
0	248

prune705.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes255.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.7s

11733×

body

valid