Details

sample96.0ms

Algorithm

intervals

Results

42.0ms

388×

body

valid

simplify13.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
18	4756
17	4506
16	4261
15	4009
14	3751
13	3513
12	3259
11	2988
10	2700
9	2359
8	1736
7	1087
6	726
5	456
4	265
3	136
2	69
1	33
0	17

prune31.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

18.0ms	(/ (* b a) 4.0)
1.0ms	(fma (/ z 16.0) t (fma x y c))
20.0ms	(- (fma (/ z 16.0) t (fma x y c)) (/ (* b a) 4.0))

series509.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ (* b a) 4.0)
132.0ms	(fma (/ z 16.0) t (fma x y c))
333.0ms	(- (fma (/ z 16.0) t (fma x y c)) (/ (* b a) 4.0))

simplify3.2s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1146
1	375
0	153

prune1.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize52.0ms

Local error

Found 3 expressions with local error:

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

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
204×	`add-sqr-sqrt`
197×	`*-un-lft-identity`
195×	`add-cube-cbrt`
132×	`prod-diff`
17×	`div-inv`
13×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
5×	`add-log-exp`
4×	`associate-/r/`
3×	`pow1` `cbrt-undiv` `expm1-log1p-u` `fma-neg` `div-exp` `log1p-expm1-u` `associate-/l*` `difference-of-squares`
2×	`fma-udef`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `associate--l+` `clear-num` `flip--` `distribute-lft-out--`

Counts

3 → 236

Calls

3 calls:

1.0ms	(fma (/ z 16.0) t (fma x y c))
62.0ms	(- (fma (/ z 16.0) t (fma x y c)) (/ b (/ 4.0 a)))
19.0ms	(/ b (/ 4.0 a))

series1.1s

Counts

3 → 9

Calls

3 calls:

125.0ms	(fma (/ z 16.0) t (fma x y c))
907.0ms	(- (fma (/ z 16.0) t (fma x y c)) (/ b (/ 4.0 a)))
32.0ms	(/ b (/ 4.0 a))

simplify4.2s

Counts

245 → 245

Iterations

Iter	Nodes
done	5000
1	1373
0	512

prune4.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize258.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `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 → 81

Calls

4 calls:

24.0ms	(* (cbrt b) (cbrt b))
2.0ms	(cbrt b)
2.0ms	(cbrt b)
2.0ms	(cbrt b)

series2.9s

Counts

4 → 12

Calls

4 calls:

410.0ms	(* (cbrt b) (cbrt b))
574.0ms	(cbrt b)
950.0ms	(cbrt b)
980.0ms	(cbrt b)

simplify15.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5005
4	4247
3	1097
2	382
1	141
0	65

prune3.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize73.0ms

Local error

Found 3 expressions with local error:

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

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

38.0ms	(* 0.25 (* a b))
1.0ms	(fma y x (- (* (* t 0.0625) z) (* 0.25 (* a b))))
194.0ms	(- (* (* t 0.0625) z) (* 0.25 (* a b)))

series482.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* 0.25 (* a b))
292.0ms	(fma y x (- (* (* t 0.0625) z) (* 0.25 (* a b))))
138.0ms	(- (* (* t 0.0625) z) (* 0.25 (* a b)))

simplify9.4s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
3	3011
2	722
1	216
0	90

prune880.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes1.6s

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	20
1	20
0	18

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.1s

12025×

body

valid