Details

sample44.0ms

Algorithm

intervals

Results

16.0ms

382×

body

valid

simplify24.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	11	11
1	19	10
2	35	9
3	45	9
done	45	9

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x y (* z t))

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:

1.0ms

(fma x y (* z t))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(fma x y (* z t))

simplify4.2s

Counts

13 → 13

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	19	102
1	24	100
2	62	88
3	207	88
4	770	88
5	4453	88
done	5000	88

prune67.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t))))
0.9b	(cbrt (fma x y (* z t)))
0.9b	(cbrt (fma x y (* z t)))
0.9b	(cbrt (fma x y (* z t)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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:

12.0ms	(* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t))))
1.0ms	(cbrt (fma x y (* z t)))
2.0ms	(cbrt (fma x y (* z t)))
2.0ms	(cbrt (fma x y (* z t)))

series573.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (cbrt (fma x y (* z t))) (cbrt (fma x y (* z t))))
155.0ms	(cbrt (fma x y (* z t)))
130.0ms	(cbrt (fma x y (* z t)))
129.0ms	(cbrt (fma x y (* z t)))

simplify5.3s

Counts

93 → 93

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	104	1450
1	259	1334
2	900	1217
3	4716	1077
done	5001	1077

prune360.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (sqrt (cbrt (fma x y (* z t)))) 3)
0.9b	(cbrt (fma x y (* z t)))
0.9b	(cbrt (fma x y (* z t)))
0.9b	(cbrt (fma x y (* z t)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`sqrt-prod`
9×	`unpow-prod-down` `cube-prod`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `pow-pow` `pow1/3` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`sqrt-pow1`
1×	`cube-mult` `pow-to-exp` `pow1/2` `unpow3` `pow-exp` `sqrt-pow2` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

9.0ms	(pow (sqrt (cbrt (fma x y (* z t)))) 3)
1.0ms	(cbrt (fma x y (* z t)))
1.0ms	(cbrt (fma x y (* z t)))
1.0ms	(cbrt (fma x y (* z t)))

series558.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(pow (sqrt (cbrt (fma x y (* z t)))) 3)
122.0ms	(cbrt (fma x y (* z t)))
163.0ms	(cbrt (fma x y (* z t)))
135.0ms	(cbrt (fma x y (* z t)))

simplify1.1s

Counts

92 → 92

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	109	1285
1	337	1155
2	1089	1064
done	5000	1018

prune610.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes203.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	10	9
done	10	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

11780×

body

valid