Details

sample24.0ms

Algorithm

intervals

Results

8.0ms

364×

body

valid

simplify6.8s

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	25	9
3	48	8
4	95	8
5	137	8
6	178	8
7	218	8
8	267	8
9	372	8
10	467	8
11	526	8
12	585	8
13	630	8
14	668	8
15	797	8
16	935	8
17	1249	8
18	1736	8
19	2348	8
20	2517	8
21	2524	8
done	2524	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

1.2b	(fma (/ y t) (- z x) 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 t) (- z x) x)

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(fma (/ y t) (- z x) x)

simplify683.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	23	154
1	40	154
2	93	138
3	266	123
4	1166	123
done	5000	123

prune41.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ y t) (- z x) x))
1.2b	(fma (/ y t) (- z x) x)
1.2b	(fma (/ y t) (- z x) x)
1.2b	(fma (/ y t) (- z x) x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (/ y t) (- z x) x))
0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)

series293.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(cbrt (fma (/ y t) (- z x) x))
35.0ms	(fma (/ y t) (- z x) x)
32.0ms	(fma (/ y t) (- z x) x)
32.0ms	(fma (/ y t) (- z x) x)

simplify1.7s

Counts

55 → 55

Iterations

Useful iterations: 4 (886.0ms)

Iter	Nodes	Cost
0	60	683
1	117	678
2	286	611
3	923	559
4	3682	548
done	5000	548

prune156.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.2b	(fma (/ y t) (- z x) x)
1.2b	(fma (/ y t) (- z x) x)
1.2b	(fma (/ y t) (- z x) x)
1.2b	(fma (/ y t) (- z x) x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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

4 → 40

Calls

4 calls:

0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)

series132.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(fma (/ y t) (- z x) x)
31.0ms	(fma (/ y t) (- z x) x)
32.0ms	(fma (/ y t) (- z x) x)
36.0ms	(fma (/ y t) (- z x) x)

simplify692.0ms

Counts

52 → 52

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	23	616
1	40	616
2	93	552
3	266	492
4	1166	492
done	5000	492

prune201.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (/ (* y (- z x)) t))
7.4b	(/ (* y (- z x)) t)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `fma-def` `times-frac` `associate-l` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 88

Calls

3 calls:

26.0ms	(* y (- z x))
10.0ms	(+ x (/ (* y (- z x)) t))
23.0ms	(/ (* y (- z x)) t)

series134.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* y (- z x))
43.0ms	(+ x (/ (* y (- z x)) t))
52.0ms	(/ (* y (- z x)) t)

simplify855.0ms

Counts

97 → 97

Iterations

Useful iterations: done (853.0ms)

Iter	Nodes	Cost
0	167	1262
1	378	1055
2	1045	875
done	5001	835

prune161.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes121.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
done	7	8

end0.0ms

sample648.0ms

Algorithm

intervals

Results

266.0ms

10704×

body

valid