Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

336×

body

valid

simplify8.0s

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	430	8
11	490	8
12	551	8
13	622	8
14	644	8
15	684	8
16	808	8
17	1066	8
18	1416	8
19	2064	8
20	2718	8
21	2816	8
22	2822	8
done	2822	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.4b

localize6.0ms

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)

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify753.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (28.0ms)

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

prune39.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

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)

rewrite2.0ms

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:

0.0ms	(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)

series265.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt (fma (/ x y) (- z t) t))
28.0ms	(fma (/ x y) (- z t) t)
30.0ms	(fma (/ x y) (- z t) t)
28.0ms	(fma (/ x y) (- z t) t)

simplify1.7s

Counts

55 → 55

Iterations

Useful iterations: 4 (785.0ms)

Iter	Nodes	Cost
0	60	683
1	118	678
2	281	611
3	863	559
4	3526	546
done	5000	546

prune166.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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)

rewrite2.0ms

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:

0.0ms	(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)

series268.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt (fma (/ x y) (- z t) t))
28.0ms	(fma (/ x y) (- z t) t)
28.0ms	(fma (/ x y) (- z t) t)
31.0ms	(fma (/ x y) (- z t) t)

simplify1.7s

Counts

55 → 55

Iterations

Useful iterations: 4 (792.0ms)

Iter	Nodes	Cost
0	60	683
1	118	678
2	281	611
3	863	559
4	3526	546
done	5000	546

prune161.0ms

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)

series114.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(fma (/ x y) (- z t) t)
31.0ms	(fma (/ x y) (- z t) t)
28.0ms	(fma (/ x y) (- z t) t)
28.0ms	(fma (/ x y) (- z t) t)

simplify935.0ms

Counts

52 → 52

Iterations

Useful iterations: 3 (25.0ms)

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

prune180.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes159.0ms

Accuracy

11% (1.8b remaining)

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

bsearch76.0ms

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

sample557.0ms

Algorithm

intervals

Results

288.0ms

10749×

body

valid