Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

392×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	11	15
1	26	13
2	81	10
3	241	9
4	545	9
5	981	9
6	1357	9
7	1851	9
8	2247	9
9	2358	9
done	2358	9

prune10.0ms

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

rewrite210.0ms

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:

169.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
8.0ms	(- (* d1 d2) (* d1 d3))
32.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series148.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
40.0ms	(- (* d1 d2) (* d1 d3))
46.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify853.0ms

Counts

73 → 73

Iterations

Useful iterations: done (851.0ms)

Iter	Nodes	Cost
0	106	1089
1	297	848
2	1106	692
done	5000	659

prune165.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (fma d1 d2 (- (* d3 d1))) (* d1 (+ (- d3) (+ d3 d4)))) (* d1 d1))
0.0b	(fma d1 d2 (- (* d3 d1)))
0.0b	(+ (fma d1 d2 (- (* d3 d1))) (* d1 (+ (- d3) (+ d3 d4))))
1.1b	(+ (- d3) (+ d3 d4))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-log-exp`
20×	`*-un-lft-identity`
13×	`fma-def`
11×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
8×	`sum-log`
6×	`distribute-lft-out`
5×	`distribute-rgt-neg-in`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `associate-+r+` `fma-neg` `prod-diff`
2×	`+-commutative` `flip3-+` `diff-log` `neg-log` `flip-+` `fma-udef`
1×	`neg-sub0` `distribute-rgt-in` `associate-+l-` `neg-mul-1` `sub-neg` `associate-+l+` `flip3--` `distribute-lft-in` `associate--l+` `flip--` `difference-of-squares`

Counts

4 → 84

Calls

4 calls:

38.0ms	(- (+ (fma d1 d2 (- (* d3 d1))) (* d1 (+ (- d3) (+ d3 d4)))) (* d1 d1))
0.0ms	(fma d1 d2 (- (* d3 d1)))
10.0ms	(+ (fma d1 d2 (- (* d3 d1))) (* d1 (+ (- d3) (+ d3 d4))))
23.0ms	(+ (- d3) (+ d3 d4))

series156.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (+ (fma d1 d2 (- (* d3 d1))) (* d1 (+ (- d3) (+ d3 d4)))) (* d1 d1))
44.0ms	(fma d1 d2 (- (* d3 d1)))
43.0ms	(+ (fma d1 d2 (- (* d3 d1))) (* d1 (+ (- d3) (+ d3 d4))))
9.0ms	(+ (- d3) (+ d3 d4))

simplify791.0ms

Counts

96 → 96

Iterations

Useful iterations: done (784.0ms)

Iter	Nodes	Cost
0	122	1412
1	330	1167
2	1290	795
done	5001	634

prune234.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `associate-*r/` `associate--l+` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `flip3-+` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 45

Calls

2 calls:

23.0ms	(- (* d1 (+ d4 (- d2 d3))) (* d1 d1))
55.0ms	(* d1 (+ d4 (- d2 d3)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(- (* d1 (+ d4 (- d2 d3))) (* d1 d1))
34.0ms	(* d1 (+ d4 (- d2 d3)))

simplify1.9s

Counts

51 → 51

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	85	600
1	231	523
2	780	475
3	3852	471
done	5000	470

prune102.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma d1 (+ d4 (- d2 d3)) (- (* d1 d1)))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(fma d1 (+ d4 (- d2 d3)) (- (* d1 d1)))

simplify1.6s

Counts

13 → 13

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	27	184
1	59	178
2	145	140
3	479	130
4	3314	130
done	5000	130

prune34.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	22	20
2	24	20
done	24	20

end0.0ms

sample744.0ms

Algorithm

intervals

Results

362.0ms

11900×

body

valid