Details

sample26.0ms

Algorithm

intervals

Results

6.0ms	225×	body	80	valid
2.0ms	25×	body	640	valid
2.0ms	17×	body	1280	valid
1.0ms	18×	body	320	valid
0.0ms	8×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4971
5	978
4	292
3	84
2	29
1	13
0	7

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.2b

localize13.0ms

Local error

Found 1 expressions with local error:

3.3b	(fma (- 1.0 y) (- 1.0 x) 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 (- 1.0 y) (- 1.0 x) x)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(fma (- 1.0 y) (- 1.0 x) x)

simplify1.2s

Counts

13 → 13

Iterations

Iter	Nodes
done	5001
4	1812
3	303
2	86
1	34
0	20

prune65.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma y (- x 1.0) 1.0)

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 (- x 1.0) 1.0)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(fma y (- x 1.0) 1.0)

simplify3.7s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	4849
3	399
2	69
1	31
0	19

prune52.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (fma (- x 1.0) y 1.0))
0.3b	(cbrt (fma (- x 1.0) y 1.0))
0.3b	(cbrt (fma (- x 1.0) y 1.0))
0.3b	(* (cbrt (fma (- x 1.0) y 1.0)) (cbrt (fma (- x 1.0) y 1.0)))

rewrite26.0ms

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:

1.0ms	(cbrt (fma (- x 1.0) y 1.0))
1.0ms	(cbrt (fma (- x 1.0) y 1.0))
1.0ms	(cbrt (fma (- x 1.0) y 1.0))
19.0ms	(* (cbrt (fma (- x 1.0) y 1.0)) (cbrt (fma (- x 1.0) y 1.0)))

series525.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt (fma (- x 1.0) y 1.0))
126.0ms	(cbrt (fma (- x 1.0) y 1.0))
154.0ms	(cbrt (fma (- x 1.0) y 1.0))
135.0ms	(* (cbrt (fma (- x 1.0) y 1.0)) (cbrt (fma (- x 1.0) y 1.0)))

simplify929.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1087
1	307
0	118

prune696.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cbrt (fma y (- x 1.0) 1.0)))
0.3b	(cbrt (cbrt (fma y (- x 1.0) 1.0)))
0.3b	(cbrt (cbrt (fma y (- x 1.0) 1.0)))
0.3b	(* (cbrt (cbrt (fma y (- x 1.0) 1.0))) (cbrt (cbrt (fma y (- x 1.0) 1.0))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

81×	`cbrt-prod`
40×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 104

Calls

4 calls:

2.0ms	(cbrt (cbrt (fma y (- x 1.0) 1.0)))
2.0ms	(cbrt (cbrt (fma y (- x 1.0) 1.0)))
2.0ms	(cbrt (cbrt (fma y (- x 1.0) 1.0)))
27.0ms	(* (cbrt (cbrt (fma y (- x 1.0) 1.0))) (cbrt (cbrt (fma y (- x 1.0) 1.0))))

series617.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(cbrt (cbrt (fma y (- x 1.0) 1.0)))
125.0ms	(cbrt (cbrt (fma y (- x 1.0) 1.0)))
150.0ms	(cbrt (cbrt (fma y (- x 1.0) 1.0)))
188.0ms	(* (cbrt (cbrt (fma y (- x 1.0) 1.0))) (cbrt (cbrt (fma y (- x 1.0) 1.0))))

simplify909.0ms

Counts

116 → 116

Iterations

Iter	Nodes
done	5001
2	1241
1	327
0	138

prune955.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes105.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	5
0	5

end0.0ms

sample958.0ms

Algorithm

intervals

Results

410.0ms	6984×	body	80	valid
130.0ms	870×	body	640	valid
63.0ms	412×	body	1280	valid
52.0ms	562×	body	320	valid
20.0ms	318×	body	160	valid