Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

309×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	164
1	14	139
2	24	139
3	40	139
4	66	139
5	92	139
6	110	139
7	136	139
8	188	139
9	475	139
10	2072	139
done	5001	139

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (- 1.0 x) y (* x z))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (- 1.0 x) y (* x z))

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(fma (- 1.0 x) y (* x z))

simplify2.6s

Counts

13 → 13

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	21	2606
1	35	2531
2	76	2411
3	298	2411
4	2271	2411
done	5000	2411

prune81.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- 1.0 x) y (* x z))
0.0b	(sqrt (fma (- 1.0 x) y (* x z)))
0.0b	(sqrt (fma (- 1.0 x) y (* x z)))
0.3b	(* (sqrt (fma (- 1.0 x) y (* x z))) (sqrt (fma (- 1.0 x) y (* x z))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma (- 1.0 x) y (* x z))
2.0ms	(sqrt (fma (- 1.0 x) y (* x z)))
2.0ms	(sqrt (fma (- 1.0 x) y (* x z)))
15.0ms	(* (sqrt (fma (- 1.0 x) y (* x z))) (sqrt (fma (- 1.0 x) y (* x z))))

series563.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(fma (- 1.0 x) y (* x z))
212.0ms	(sqrt (fma (- 1.0 x) y (* x z)))
230.0ms	(sqrt (fma (- 1.0 x) y (* x z)))
62.0ms	(* (sqrt (fma (- 1.0 x) y (* x z))) (sqrt (fma (- 1.0 x) y (* x z))))

simplify2.0s

Counts

103 → 103

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	94	27164
1	208	22340
2	629	21860
3	3323	21420
done	5000	21270

prune501.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x z (* (- 1.0 x) y))
0.0b	(* (- 1.0 x) y)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma x z (* (- 1.0 x) y))
36.0ms	(* (- 1.0 x) y)

series99.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(fma x z (* (- 1.0 x) y))
46.0ms	(* (- 1.0 x) y)

simplify4.2s

Counts

40 → 40

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	66	6907
1	140	6295
2	494	6220
3	4910	6140
done	5000	6140

prune190.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1.0 y (* x (- z y)))
0.0b	(* x (- z y))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `prod-diff`
16×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-l`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 56

Calls

2 calls:

1.0ms	(fma 1.0 y (* x (- z y)))
43.0ms	(* x (- z y))

series128.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(fma 1.0 y (* x (- z y)))
52.0ms	(* x (- z y))

simplify820.0ms

Counts

62 → 62

Iterations

Useful iterations: 2 (153.0ms)

Iter	Nodes	Cost
0	116	16607
1	256	14330
2	886	10731
done	5000	10731

prune211.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	9	180
1	13	139
2	14	139
done	14	139

end0.0ms

sample1.4s

Algorithm

intervals

Results

561.0ms

10127×

body

valid