Details

sample36.0ms

Algorithm

intervals

Results

18.0ms	300×	body	80	valid
1.0ms	7×	body	1280	valid
1.0ms	5×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid

simplify6.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	12	13
1	21	13
2	51	12
3	172	12
4	477	12
5	1152	12
6	2708	12
done	5000	12

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.1b	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

126×	`add-sqr-sqrt`
118×	`*-un-lft-identity`
117×	`prod-diff`
114×	`add-cube-cbrt`
92×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
13×	`fma-neg`
10×	`div-inv`
6×	`associate-r`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`difference-of-squares`
3×	`expm1-log1p-u` `sub-neg` `associate-l` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `flip--` `distribute-lft-out--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 186

Calls

3 calls:

39.0ms	(- (/ 2.0 3.0) z)
77.0ms	(* 6.0 (- (/ 2.0 3.0) z))
0.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series149.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(- (/ 2.0 3.0) z)
46.0ms	(* 6.0 (- (/ 2.0 3.0) z))
81.0ms	(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify2.4s

Counts

195 → 195

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	257	4364
1	455	3245
2	930	2739
3	3028	2292
done	5000	1959

prune312.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 6.0 3.0) 2.0) (* 6.0 (- z)))
0.1b	(fma (- y x) (+ (* (/ 6.0 3.0) 2.0) (* 6.0 (- z))) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `distribute-rgt-neg-out` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `unsub-neg` `sum-log` `flip-+` `fma-udef`

Counts

2 → 26

Calls

2 calls:

19.0ms	(+ (* (/ 6.0 3.0) 2.0) (* 6.0 (- z)))
1.0ms	(fma (- y x) (+ (* (/ 6.0 3.0) 2.0) (* 6.0 (- z))) x)

series133.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* (/ 6.0 3.0) 2.0) (* 6.0 (- z)))
90.0ms	(fma (- y x) (+ (* (/ 6.0 3.0) 2.0) (* 6.0 (- z))) x)

simplify2.4s

Counts

32 → 32

Iterations

Useful iterations: 3 (613.0ms)

Iter	Nodes	Cost
0	58	485
1	169	448
2	637	395
3	2446	385
done	5001	385

prune146.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b	(* (- y x) 6.0)
0.4b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite508.0ms

Algorithm

rewrite-expression-head

Rules

199×	`add-sqr-sqrt`
195×	`prod-diff`
191×	`*-un-lft-identity`
185×	`add-cube-cbrt`
146×	`times-frac`
82×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
16×	`div-inv`
13×	`fma-neg`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
9×	`associate-r`
8×	`flip3--` `flip--` `add-log-exp`
6×	`associate-l`
5×	`sub-neg` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-def` `distribute-lft-out--`
2×	`associate-r/` `-commutative`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 304

Calls

4 calls:

33.0ms	(- (/ 2.0 3.0) z)
44.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
313.0ms	(* (- y x) 6.0)
83.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series194.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (/ 2.0 3.0) z)
69.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
45.0ms	(* (- y x) 6.0)
57.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify2.2s

Counts

316 → 316

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	400	7667
1	922	6190
2	2975	5410
done	5002	4990

prune688.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(* (- y x) 6.0)
0.4b	(fma (* (- y x) 6.0) (- (pow (cbrt (/ 2.0 3.0)) 3) z) x)
1.0b	(pow (cbrt (/ 2.0 3.0)) 3)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
26×	`cbrt-prod`
25×	`add-cube-cbrt`
18×	`times-frac`
16×	`unpow-prod-down` `cube-prod`
10×	`associate-l`
9×	`pow1` `add-exp-log`
8×	`add-cbrt-cube`
6×	`associate-r`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`flip3--` `pow-pow` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`cube-div` `cube-mult` `pow-to-exp` `cbrt-div` `pow1/3` `unpow3` `pow-exp` `fma-udef` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 111

Calls

4 calls:

33.0ms	(* (- y x) 6.0)
36.0ms	(* (- y x) 6.0)
0.0ms	(fma (* (- y x) 6.0) (- (pow (cbrt (/ 2.0 3.0)) 3) z) x)
11.0ms	(pow (cbrt (/ 2.0 3.0)) 3)

series172.0ms

Counts

4 → 10

Calls

4 calls:

43.0ms	(* (- y x) 6.0)
43.0ms	(* (- y x) 6.0)
86.0ms	(fma (* (- y x) 6.0) (- (pow (cbrt (/ 2.0 3.0)) 3) z) x)
0.0ms	(pow (cbrt (/ 2.0 3.0)) 3)

simplify1.1s

Counts

121 → 121

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	180	1345
1	432	1029
2	1132	928
done	5001	920

prune349.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes165.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	15
1	18	15
2	22	15
3	23	15
done	23	15

end0.0ms

sample1.2s

Algorithm

intervals

Results

639.0ms	9398×	body	80	valid
76.0ms	271×	body	640	valid
35.0ms	165×	body	1280	valid
24.0ms	190×	body	320	valid
12.0ms	128×	body	160	valid