Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

337×

body

valid

simplify15.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (10.0ms)

Iter	Nodes	Cost
0	6	123
1	9	123
2	11	123
3	13	98
done	13	98

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

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)

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(fma (/ y z) y x)

simplify5.2s

Counts

13 → 13

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	19	2506
1	28	1993
2	59	1918
3	177	1918
4	601	1918
5	2308	1918
done	5010	1918

prune69.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

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))

rewrite19.0ms

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:

13.0ms	(* (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))

series503.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
130.0ms	(cbrt (fma (/ y z) y x))
121.0ms	(cbrt (fma (/ y z) y x))
123.0ms	(cbrt (fma (/ y z) y x))

simplify2.0s

Counts

93 → 93

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	85	27594
1	172	25942
2	425	25892
3	1259	24817
done	5001	24815

prune503.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`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 → 53

Calls

4 calls:

1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))
7.0ms	(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
2.0ms	(cbrt (cbrt (fma (/ y z) y x)))

series514.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (fma (/ y z) y x))
151.0ms	(cbrt (fma (/ y z) y x))
134.0ms	(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
122.0ms	(cbrt (cbrt (fma (/ y z) y x)))

simplify3.5s

Counts

65 → 65

Iterations

Useful iterations: 4 (2.3s)

Iter	Nodes	Cost
0	82	21828
1	143	21162
2	318	21112
3	1085	20077
4	4574	19920
done	5000	19920

prune338.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`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 → 53

Calls

4 calls:

1.0ms	(cbrt (fma (/ y z) y x))
1.0ms	(cbrt (fma (/ y z) y x))
4.0ms	(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
1.0ms	(cbrt (cbrt (fma (/ y z) y x)))

series505.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (fma (/ y z) y x))
131.0ms	(cbrt (fma (/ y z) y x))
123.0ms	(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
119.0ms	(cbrt (cbrt (fma (/ y z) y x)))

simplify3.1s

Counts

65 → 65

Iterations

Useful iterations: 4 (1.9s)

Iter	Nodes	Cost
0	82	21828
1	143	21162
2	318	21112
3	1085	20077
4	4574	19920
done	5000	19920

prune399.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes459.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	98
done	5	98

end0.0ms

sample742.0ms

Algorithm

intervals

Results

362.0ms

10596×

body

valid