Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

331×

body

valid

simplify50.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	29	6
3	42	6
4	51	6
5	58	6
6	64	6
done	64	6

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (+ z x) y x)

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:

0.0ms

(fma (+ z x) y x)

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(fma (+ z x) y x)

simplify1.3s

Counts

13 → 13

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	19	116
1	30	113
2	62	95
3	237	95
4	1420	95
done	5000	95

prune39.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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:

16.0ms	(* (cbrt (fma (+ z x) y x)) (cbrt (fma (+ z x) y x)))
1.0ms	(cbrt (fma (+ z x) y x))
1.0ms	(cbrt (fma (+ z x) y x))
1.0ms	(cbrt (fma (+ z x) y x))

series884.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(* (cbrt (fma (+ z x) y x)) (cbrt (fma (+ z x) y x)))
178.0ms	(cbrt (fma (+ z x) y x))
213.0ms	(cbrt (fma (+ z x) y x))
225.0ms	(cbrt (fma (+ z x) y x))

simplify3.5s

Counts

93 → 93

Iterations

Useful iterations: 4 (2.1s)

Iter	Nodes	Cost
0	100	1442
1	234	1320
2	623	1202
3	1693	1054
4	4828	1026
done	5000	1026

prune323.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (fma (+ z x) y x)))
0.6b	(cbrt (cbrt (fma (+ z x) y x)))
0.6b	(cbrt (cbrt (fma (+ z x) y x)))
0.9b	(pow (cbrt (cbrt (fma (+ z x) y x))) 4)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt (cbrt (fma (+ z x) y x)))
1.0ms	(cbrt (cbrt (fma (+ z x) y x)))
1.0ms	(cbrt (cbrt (fma (+ z x) y x)))
5.0ms	(pow (cbrt (cbrt (fma (+ z x) y x))) 4)

series1.1s

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt (cbrt (fma (+ z x) y x)))
229.0ms	(cbrt (cbrt (fma (+ z x) y x)))
199.0ms	(cbrt (cbrt (fma (+ z x) y x)))
417.0ms	(pow (cbrt (cbrt (fma (+ z x) y x))) 4)

simplify3.6s

Counts

86 → 86

Iterations

Useful iterations: 4 (1.7s)

Iter	Nodes	Cost
0	107	1276
1	242	1174
2	548	1097
3	1461	1061
4	4899	1019
done	5000	1019

prune381.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes51.0ms

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	5	6
1	6	6
done	6	6

end0.0ms

sample689.0ms

Algorithm

intervals

Results

393.0ms

10090×

body

valid