Details

sample31.0ms

Algorithm

intervals

Results

15.0ms

359×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
4	14
3	13
2	11
1	9
0	6

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ y 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 (/ y z) y x)

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(fma (/ y z) y x)

simplify2.3s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	3265
3	328
2	78
1	28
0	19

prune53.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
0.5b	(cbrt (fma (/ y z) y x))
0.5b	(cbrt (fma (/ y z) y x))
0.5b	(cbrt (fma (/ y z) y x))

rewrite12.0ms

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:

8.0ms	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))

series508.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
134.0ms	(cbrt (fma (/ y z) y x))
130.0ms	(cbrt (fma (/ y z) y x))
110.0ms	(cbrt (fma (/ y z) y x))

simplify3.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	3781
2	578
1	174
0	85

prune465.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ y z) y x))
0.6b	(cbrt (cbrt (fma (/ y z) y x)))
0.6b	(cbrt (cbrt (fma (/ y z) y x)))
0.6b	(cbrt (cbrt (fma (/ y z) y x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (cbrt (fma (/ y z) y x)))
1.0ms	(cbrt (cbrt (fma (/ y z) y x)))
1.0ms	(cbrt (cbrt (fma (/ y z) y x)))

series501.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (fma (/ y z) y x))
126.0ms	(cbrt (cbrt (fma (/ y z) y x)))
102.0ms	(cbrt (cbrt (fma (/ y z) y x)))
112.0ms	(cbrt (cbrt (fma (/ y z) y x)))

simplify1.5s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
4	3117
3	695
2	219
1	104
0	61

prune506.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ y z) y x))
0.6b	(cbrt (cbrt (fma (/ y z) y x)))
0.6b	(cbrt (cbrt (fma (/ y z) y x)))
1.1b	(pow (cbrt (cbrt (fma (/ y z) y x))) (+ 4 1))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
15×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow-unpow` `add-cbrt-cube` `pow1/3` `log1p-expm1-u` `add-log-exp`
2×	`pow-pow`
1×	`pow-to-exp` `unpow-prod-up` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (cbrt (fma (/ y z) y x)))
1.0ms	(cbrt (cbrt (fma (/ y z) y x)))
6.0ms	(pow (cbrt (cbrt (fma (/ y z) y x))) (+ 4 1))

series548.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (fma (/ y z) y x))
130.0ms	(cbrt (cbrt (fma (/ y z) y x)))
111.0ms	(cbrt (cbrt (fma (/ y z) y x)))
173.0ms	(pow (cbrt (cbrt (fma (/ y z) y x))) (+ 4 1))

simplify937.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
3	2298
2	695
1	261
0	100

prune528.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes493.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	5
0	5

end0.0ms

sample636.0ms

Algorithm

intervals

Results

351.0ms

10658×

body

valid