Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

336×

body

valid

simplify6.4s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	15	8
2	32	8
3	54	8
4	86	8
5	121	8
6	154	8
7	192	8
8	243	8
9	321	8
10	428	8
11	480	8
12	541	8
13	597	8
14	619	8
15	659	8
16	759	8
17	1019	8
18	1330	8
19	1929	8
20	2482	8
21	2579	8
22	2585	8
done	2585	8

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.4b

localize7.0ms

Local error

Found 1 expressions with local error:

2.3b	(fma (/ x y) (- z t) t)

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify817.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	23	154
1	41	154
2	89	138
3	214	123
4	942	123
done	5002	123

prune43.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ x y) (- z t) t))
2.3b	(fma (/ x y) (- z t) t)
2.3b	(fma (/ x y) (- z t) t)
2.3b	(fma (/ x y) (- z t) t)

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

series325.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt (fma (/ x y) (- z t) t))
38.0ms	(fma (/ x y) (- z t) t)
35.0ms	(fma (/ x y) (- z t) t)
34.0ms	(fma (/ x y) (- z t) t)

simplify1.7s

Counts

55 → 55

Iterations

Useful iterations: 4 (789.0ms)

Iter	Nodes	Cost
0	60	683
1	118	678
2	281	611
3	859	559
4	3448	546
done	5001	546

prune186.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ x y) (- z t) t))
2.3b	(fma (- z t) (/ x y) t)
2.3b	(fma (/ x y) (- z t) t)
2.3b	(fma (/ x y) (- z t) t)

rewrite5.0ms

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

series321.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(cbrt (fma (/ x y) (- z t) t))
39.0ms	(fma (- z t) (/ x y) t)
33.0ms	(fma (/ x y) (- z t) t)
33.0ms	(fma (/ x y) (- z t) t)

simplify1.6s

Counts

55 → 55

Iterations

Useful iterations: 4 (784.0ms)

Iter	Nodes	Cost
0	71	683
1	131	678
2	293	611
3	876	559
4	3506	546
done	5001	546

prune431.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

2.3b	(fma (/ x y) (- z t) t)
2.3b	(fma (/ x y) (- z t) t)
2.3b	(fma (/ x y) (- z t) t)
2.3b	(fma (/ x y) (- z t) t)

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

series139.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma (/ x y) (- z t) t)
34.0ms	(fma (/ x y) (- z t) t)
35.0ms	(fma (/ x y) (- z t) t)
34.0ms	(fma (/ x y) (- z t) t)

simplify776.0ms

Counts

52 → 52

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	23	616
1	41	616
2	89	552
3	214	492
4	942	492
done	5002	492

prune207.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes182.0ms

Accuracy

11% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.0b

bsearch90.0ms

Steps

Iters	Range		Point
9	4.1827957932285393e+216	1.3424793826561465e+222	2.3059419046843504e+219
7	5.033636456726258e+39	6.0332767417736225e+41	3.758228562227714e+40

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	16	33
1	20	26
done	20	26

end0.0ms

sample546.0ms

Algorithm

intervals

Results

280.0ms

10749×

body

valid