Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

360×

body

valid

simplify27.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	93
5	93
4	80
3	49
2	24
1	14
0	8

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 1 expressions with local error:

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

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 y (fma y x z) t)

series81.0ms

Counts

1 → 3

Calls

1 calls:

81.0ms

(fma y (fma y x z) t)

simplify2.3s

Counts

13 → 13

Iterations

Iter	Nodes
done	5001
4	2477
3	373
2	100
1	40
0	23

prune76.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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:

17.0ms	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))
1.0ms	(cbrt (fma (fma x y z) y t))

series866.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
201.0ms	(cbrt (fma (fma x y z) y t))
210.0ms	(cbrt (fma (fma x y z) y t))
210.0ms	(cbrt (fma (fma x y z) y t))

simplify812.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	925
1	267
0	107

prune710.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize111.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma y (fma y x z) t))
0.6b	(cbrt (fma y (fma y x z) t))
0.6b	(cbrt (fma (fma x y z) y t))
0.9b	(pow (cbrt (cbrt (fma y (fma y x z) t))) (+ 3 1))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
13×	`*-un-lft-identity`
11×	`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 → 67

Calls

4 calls:

1.0ms	(cbrt (fma y (fma y x z) t))
1.0ms	(cbrt (fma y (fma y x z) t))
1.0ms	(cbrt (fma (fma x y z) y t))
14.0ms	(pow (cbrt (cbrt (fma y (fma y x z) t))) (+ 3 1))

series827.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt (fma y (fma y x z) t))
189.0ms	(cbrt (fma y (fma y x z) t))
184.0ms	(cbrt (fma (fma x y z) y t))
285.0ms	(pow (cbrt (cbrt (fma y (fma y x z) t))) (+ 3 1))

simplify572.0ms

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
2	1026
1	332
0	125

prune837.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize139.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (fma x y z) y t))
0.9b	(pow (cbrt (cbrt (cbrt (fma (fma x y z) y t)))) 4)
1.0b	(pow (cbrt (cbrt (pow (cbrt (cbrt (fma (fma x y z) y t))) 6))) 4)
1.2b	(pow (cbrt (cbrt (fma (fma x y z) y t))) 6)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

68×	`cbrt-prod`
49×	`unpow-prod-down`
21×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`pow-unpow`
7×	`pow1` `add-exp-log`
6×	`pow-pow`
4×	`expm1-log1p-u` `add-cbrt-cube` `pow1/3` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-to-exp` `pow-exp`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt (fma (fma x y z) y t))
5.0ms	(pow (cbrt (cbrt (cbrt (fma (fma x y z) y t)))) 4)
10.0ms	(pow (cbrt (cbrt (pow (cbrt (cbrt (fma (fma x y z) y t))) 6))) 4)
4.0ms	(pow (cbrt (cbrt (fma (fma x y z) y t))) 6)

series1.7s

Counts

4 → 12

Calls

4 calls:

272.0ms	(cbrt (fma (fma x y z) y t))
380.0ms	(pow (cbrt (cbrt (cbrt (fma (fma x y z) y t)))) 4)
505.0ms	(pow (cbrt (cbrt (pow (cbrt (cbrt (fma (fma x y z) y t))) 6))) 4)
505.0ms	(pow (cbrt (cbrt (fma (fma x y z) y t))) 6)

simplify1.2s

Counts

116 → 116

Iterations

Iter	Nodes
done	5002
2	2636
1	793
0	273

prune1.3s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes411.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample1.4s

Algorithm

intervals

Results

558.0ms

11299×

body

valid