Details

sample26.0ms

Algorithm

intervals

Results

9.0ms

326×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
20	4835
19	4589
18	4315
17	4067
16	3795
15	3549
14	3276
13	3025
12	2756
11	1815
10	756
9	299
8	167
7	124
6	98
5	78
4	61
3	40
2	24
1	14
0	8

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

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) z (* y x))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify1.4s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	952
3	210
2	78
1	35
0	22

prune84.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (fma (- 1.0 x) z (* y x))) (cbrt (fma (- 1.0 x) z (* y x))))
0.6b	(cbrt (fma (- 1.0 x) z (* y x)))
0.6b	(cbrt (fma (- 1.0 x) z (* y x)))
0.6b	(cbrt (fma (- 1.0 x) z (* y x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

11.0ms	(* (cbrt (fma (- 1.0 x) z (* y x))) (cbrt (fma (- 1.0 x) z (* y x))))
1.0ms	(cbrt (fma (- 1.0 x) z (* y x)))
1.0ms	(cbrt (fma (- 1.0 x) z (* y x)))
1.0ms	(cbrt (fma (- 1.0 x) z (* y x)))

series1.0s

Counts

4 → 12

Calls

4 calls:

272.0ms	(* (cbrt (fma (- 1.0 x) z (* y x))) (cbrt (fma (- 1.0 x) z (* y x))))
216.0ms	(cbrt (fma (- 1.0 x) z (* y x)))
264.0ms	(cbrt (fma (- 1.0 x) z (* y x)))
262.0ms	(cbrt (fma (- 1.0 x) z (* y x)))

simplify1.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	2105
2	753
1	328
0	133

prune599.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- 1.0 x) z (* y x))
0.0b	(sqrt (fma (- 1.0 x) z (* y x)))
0.0b	(sqrt (fma (- 1.0 x) z (* y x)))
0.2b	(* (sqrt (fma (- 1.0 x) z (* y x))) (sqrt (fma (- 1.0 x) z (* y x))))

rewrite26.0ms

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) z (* y x))
2.0ms	(sqrt (fma (- 1.0 x) z (* y x)))
2.0ms	(sqrt (fma (- 1.0 x) z (* y x)))
18.0ms	(* (sqrt (fma (- 1.0 x) z (* y x))) (sqrt (fma (- 1.0 x) z (* y x))))

series537.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(fma (- 1.0 x) z (* y x))
216.0ms	(sqrt (fma (- 1.0 x) z (* y x)))
209.0ms	(sqrt (fma (- 1.0 x) z (* y x)))
59.0ms	(* (sqrt (fma (- 1.0 x) z (* y x))) (sqrt (fma (- 1.0 x) z (* y x))))

simplify1.5s

Counts

103 → 103

Iterations

Iter	Nodes
done	5008
3	1631
2	454
1	195
0	95

prune488.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

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:

1.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify1.5s

Counts

13 → 13

Iterations

Iter	Nodes
done	5011
4	1461
3	286
2	74
1	35
0	22

prune51.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

896.0ms

10136×

body

valid