Details

sample21.0ms

Algorithm

intervals

Results

7.0ms

330×

body

valid

simplify6.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	15	9
2	31	8
3	63	8
4	104	8
5	161	8
6	198	8
7	238	8
8	294	8
9	416	8
10	565	8
11	653	8
12	762	8
13	835	8
14	854	8
15	898	8
16	997	8
17	1247	8
18	1505	8
19	1827	8
20	2039	8
21	2049	8
22	2051	8
done	2051	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (- y x) (* 6.0 z) x)

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 (- y x) (* 6.0 z) x)

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(fma (- y x) (* 6.0 z) x)

simplify1.0s

Counts

13 → 13

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	23	154
1	44	151
2	107	135
3	297	123
4	1295	123
done	5002	123

prune36.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) z))
0.0b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) z)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

3.0ms	(+ x (* (* (- y x) 6.0) z))
14.0ms	(* (- y x) 6.0)
15.0ms	(* (* (- y x) 6.0) z)

series130.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+ x (* (* (- y x) 6.0) z))
32.0ms	(* (- y x) 6.0)
42.0ms	(* (* (- y x) 6.0) z)

simplify2.9s

Counts

71 → 71

Iterations

Useful iterations: 2 (138.0ms)

Iter	Nodes	Cost
0	104	692
1	259	647
2	960	553
3	4700	553
done	5000	553

prune166.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

10.0ms	(* (- y x) 6.0)
0.0ms	(fma (* (- y x) 6.0) z x)

series79.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (- y x) 6.0)
48.0ms	(fma (* (- y x) 6.0) z x)

simplify1.6s

Counts

40 → 40

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	68	357
1	144	345
2	440	297
3	1608	297
done	5000	297

prune95.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (- y x) z) 6.0) x)
0.0b	(* (- y x) z)
0.3b	(* (* (- y x) z) 6.0)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

18.0ms	(+ (* (* (- y x) z) 6.0) x)
10.0ms	(* (- y x) z)
15.0ms	(* (* (- y x) z) 6.0)

series125.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ (* (* (- y x) z) 6.0) x)
32.0ms	(* (- y x) z)
44.0ms	(* (* (- y x) z) 6.0)

simplify2.3s

Counts

69 → 69

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	102	686
1	254	639
2	876	555
3	3976	549
done	5000	549

prune149.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample442.0ms

Algorithm

intervals

Results

235.0ms

10140×

body

valid