Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

368×

body

valid

simplify5.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (19.0ms)

Iter	Nodes	Cost
0	11	15
1	26	13
2	80	10
3	227	9
4	539	9
5	1137	9
6	1536	9
7	2069	9
8	2504	9
9	2512	9
done	2512	9

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

3.0ms	(- (* d1 d2) (* d1 d3))
74.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
13.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series131.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- (* d1 d2) (* d1 d3))
55.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
38.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify457.0ms

Counts

73 → 73

Iterations

Useful iterations: done (455.0ms)

Iter	Nodes	Cost
0	106	1089
1	305	848
2	1213	692
done	5000	675

prune179.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `difference-of-squares`

Counts

2 → 32

Calls

2 calls:

3.0ms	(- (fma d1 (- d2 d3) (* d4 d1)) (* d1 d1))
0.0ms	(fma d1 (- d2 d3) (* d4 d1))

series88.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(- (fma d1 (- d2 d3) (* d4 d1)) (* d1 d1))
35.0ms	(fma d1 (- d2 d3) (* d4 d1))

simplify1.1s

Counts

38 → 38

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	60	570
1	136	538
2	416	445
3	2120	392
done	5000	389

prune101.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
11×	`associate-+l+`
10×	`prod-diff` `add-log-exp`
5×	`pow1` `add-exp-log` `fma-def` `associate-r` `add-cbrt-cube`
4×	`distribute-lft-out` `distribute-lft-out--`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `diff-log` `associate-*r/` `associate--l+` `sum-log` `flip-+`
1×	`+-commutative` `associate-+l-` `flip3--` `fma-neg` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

3 → 78

Calls

3 calls:

13.0ms	(- (* d1 (+ (- d2 d3) d4)) (* d1 d1))
17.0ms	(+ (- d2 d3) d4)
41.0ms	(* d1 (+ (- d2 d3) d4))

series107.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (* d1 (+ (- d2 d3) d4)) (* d1 d1))
21.0ms	(+ (- d2 d3) d4)
34.0ms	(* d1 (+ (- d2 d3) d4))

simplify539.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	121	884
1	315	773
2	1336	665
done	5000	665

prune198.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ d4 d2) d3)
0.0b	(* d1 (- (+ d4 d2) d3))
0.7b	(pow (cbrt (* d1 (- (+ d4 d2) d3))) 3)
1.4b	(cbrt (* d1 (- (+ d4 d2) d3)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
36×	`prod-diff`
31×	`add-cube-cbrt`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`distribute-lft-out`
9×	`add-log-exp`
7×	`pow1` `add-exp-log`
6×	`associate-r/` `associate-r*` `add-cbrt-cube`
4×	`expm1-log1p-u` `unpow-prod-down` `cbrt-div` `flip3--` `fma-neg` `cube-prod` `flip--` `log1p-expm1-u` `distribute-lft-out--`
3×	`cbrt-prod` `sub-neg` `pow-unpow` `associate-l` `associate--l+`
2×	`cube-div` `pow-pow` `pow1/3` `diff-log` `difference-of-squares`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 133

Calls

4 calls:

22.0ms	(- (+ d4 d2) d3)
47.0ms	(* d1 (- (+ d4 d2) d3))
3.0ms	(pow (cbrt (* d1 (- (+ d4 d2) d3))) 3)
11.0ms	(cbrt (* d1 (- (+ d4 d2) d3)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(- (+ d4 d2) d3)
38.0ms	(* d1 (- (+ d4 d2) d3))
203.0ms	(pow (cbrt (* d1 (- (+ d4 d2) d3))) 3)
175.0ms	(cbrt (* d1 (- (+ d4 d2) d3)))

simplify1.1s

Counts

145 → 145

Iterations

Useful iterations: 2 (190.0ms)

Iter	Nodes	Cost
0	203	2262
1	466	1781
2	2256	1457
done	5001	1457

prune332.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	10	12
done	10	12

end0.0ms

sample692.0ms

Algorithm

intervals

Results

394.0ms

11900×

body

valid