Details

sample29.0ms

Algorithm

intervals

Results

11.0ms

335×

body

valid

simplify10.3s

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

2.2b	(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)

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify954.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (49.0ms)

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

prune60.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y t) (- z x) x))
2.2b	(fma (/ y t) (- z x) x)
2.2b	(fma (/ y t) (- z x) x)
2.2b	(fma (/ y t) (- z x) x)

rewrite7.0ms

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))
5.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)

series318.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt (fma (/ y t) (- z x) x))
35.0ms	(fma (/ y t) (- z x) x)
33.0ms	(fma (/ y t) (- z x) x)
33.0ms	(fma (/ y t) (- z x) x)

simplify2.3s

Counts

55 → 55

Iterations

Useful iterations: 4 (1.3s)

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

prune220.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

2.2b	(fma (/ y t) (- z x) x)
2.2b	(fma (/ y t) (- z x) x)
2.2b	(fma (/ y t) (- z x) x)
2.2b	(fma (/ y t) (- z x) x)

rewrite3.0ms

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

series201.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(fma (/ y t) (- z x) x)
48.0ms	(fma (/ y t) (- z x) x)
50.0ms	(fma (/ y t) (- z x) x)
59.0ms	(fma (/ y t) (- z x) x)

simplify860.0ms

Counts

52 → 52

Iterations

Useful iterations: 3 (45.0ms)

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

prune271.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z x)) t))
0.0b	(* y (- z x))
8.2b	(/ (* y (- z x)) t)

rewrite95.0ms

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:

15.0ms	(+ x (/ (* y (- z x)) t))
36.0ms	(* y (- z x))
39.0ms	(/ (* y (- z x)) t)

series148.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ x (/ (* y (- z x)) t))
41.0ms	(* y (- z x))
66.0ms	(/ (* y (- z x)) t)

simplify1.2s

Counts

97 → 97

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	167	1262
1	378	1055
2	1045	875
done	5000	835

prune172.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes130.0ms

Accuracy

-1.2% (2.0b remaining)

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

bsearch24.0ms

Steps

Iters	Range		Point
1	1.2230044137421658e-188	1.2959748260017762e-188	1.2777322229368735e-188
3	-9.359292892895073e-184	-7.526302520782567e-184	-8.099112012067726e-184

simplify9.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	19	36
1	28	29
2	32	29
3	33	29
done	33	29

end0.0ms

sample1.3s

Algorithm

intervals

Results

606.0ms

10627×

body

valid