Details

sample41.0ms

Algorithm

intervals

Results

21.0ms

380×

body

valid

simplify5.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
19	4838
18	4587
17	4346
16	4107
15	3856
14	3609
13	3369
12	3118
11	2867
10	2598
9	2252
8	1712
7	1089
6	729
5	456
4	266
3	137
2	69
1	33
0	17

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* a b) 4.0)
0.0b	(fma (/ t 16.0) z (- (fma y x c) (/ (* a b) 4.0)))
0.0b	(- (fma y x c) (/ (* a b) 4.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity` `prod-diff`
19×	`add-cube-cbrt`
12×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
5×	`add-log-exp`
4×	`div-inv`
3×	`expm1-log1p-u` `pow1` `associate-/r*` `fma-neg` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `fma-udef`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `prod-exp` `associate--l+` `cbrt-unprod` `flip--` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 77

Calls

3 calls:

18.0ms	(/ (* a b) 4.0)
1.0ms	(fma (/ t 16.0) z (- (fma y x c) (/ (* a b) 4.0)))
13.0ms	(- (fma y x c) (/ (* a b) 4.0))

series395.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (* a b) 4.0)
247.0ms	(fma (/ t 16.0) z (- (fma y x c) (/ (* a b) 4.0)))
109.0ms	(- (fma y x c) (/ (* a b) 4.0))

simplify1.4s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1222
1	383
0	160

prune714.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- c (/ (* a b) 4.0))
0.0b	(/ (* a b) 4.0)
0.0b	(fma (/ t 16.0) z (+ (* y x) (- c (/ (* a b) 4.0))))
0.0b	(+ (* y x) (- c (/ (* a b) 4.0)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

42×	`prod-diff`
35×	`add-sqr-sqrt` `*-un-lft-identity`
33×	`add-cube-cbrt`
23×	`associate-+r+`
21×	`times-frac`
11×	`add-log-exp`
9×	`add-cbrt-cube` `add-exp-log`
7×	`div-inv`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `fma-neg`
2×	`cbrt-undiv` `sum-log` `sub-neg` `diff-log` `div-exp`
1×	`+-commutative` `clear-num` `associate-+r-` `fma-def` `frac-2neg` `flip3-+` `flip3--` `prod-exp` `cbrt-unprod` `flip-+` `fma-udef` `flip--` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

13.0ms	(- c (/ (* a b) 4.0))
18.0ms	(/ (* a b) 4.0)
0.0ms	(fma (/ t 16.0) z (+ (* y x) (- c (/ (* a b) 4.0))))
31.0ms	(+ (* y x) (- c (/ (* a b) 4.0)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- c (/ (* a b) 4.0))
33.0ms	(/ (* a b) 4.0)
192.0ms	(fma (/ t 16.0) z (+ (* y x) (- c (/ (* a b) 4.0))))
95.0ms	(+ (* y x) (- c (/ (* a b) 4.0)))

simplify1.6s

Counts

128 → 128

Iterations

Iter	Nodes
done	5002
2	1536
1	525
0	205

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(- c (/ a (/ 4.0 b)))
0.0b	(fma (/ t 16.0) z (+ (* y x) (- c (/ a (/ 4.0 b)))))
0.0b	(+ (* y x) (- c (/ a (/ 4.0 b))))
0.2b	(/ a (/ 4.0 b))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

474×	`times-frac`
354×	`add-sqr-sqrt`
347×	`*-un-lft-identity`
345×	`add-cube-cbrt`
264×	`prod-diff`
134×	`associate-+r+`
29×	`div-inv`
13×	`associate-/r*`
11×	`add-log-exp`
9×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/r/`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `fma-neg` `div-exp` `associate-/l*` `difference-of-squares`
2×	`sum-log` `sub-neg` `diff-log`
1×	`+-commutative` `clear-num` `associate-+r-` `fma-def` `frac-2neg` `flip3-+` `flip3--` `flip-+` `fma-udef` `flip--` `distribute-lft-out--`

Counts

4 → 389

Calls

4 calls:

25.0ms	(- c (/ a (/ 4.0 b)))
1.0ms	(fma (/ t 16.0) z (+ (* y x) (- c (/ a (/ 4.0 b)))))
33.0ms	(+ (* y x) (- c (/ a (/ 4.0 b))))
6.0ms	(/ a (/ 4.0 b))

series424.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- c (/ a (/ 4.0 b)))
216.0ms	(fma (/ t 16.0) z (+ (* y x) (- c (/ a (/ 4.0 b)))))
102.0ms	(+ (* y x) (- c (/ a (/ 4.0 b))))
28.0ms	(/ a (/ 4.0 b))

simplify1.9s

Counts

401 → 401

Iterations

Iter	Nodes
done	5001
1	1852
0	676

prune3.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.25 (* b a))
0.0b	(- (* 0.0625 (* t z)) (* 0.25 (* b a)))
0.0b	(fma y x (- (* 0.0625 (* t z)) (* 0.25 (* b a))))
0.4b	(* 0.0625 (* t z))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `fma-udef` `flip--`

Counts

4 → 70

Calls

4 calls:

26.0ms	(* 0.25 (* b a))
34.0ms	(- (* 0.0625 (* t z)) (* 0.25 (* b a)))
0.0ms	(fma y x (- (* 0.0625 (* t z)) (* 0.25 (* b a))))
35.0ms	(* 0.0625 (* t z))

series354.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* 0.25 (* b a))
113.0ms	(- (* 0.0625 (* t z)) (* 0.25 (* b a)))
169.0ms	(fma y x (- (* 0.0625 (* t z)) (* 0.25 (* b a))))
36.0ms	(* 0.0625 (* t z))

simplify2.3s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
3	3253
2	850
1	285
0	124

prune572.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes666.0ms

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	16
1	16
0	15

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.8s

12059×

body

valid