Details

sample53.0ms

Algorithm

intervals

Results

24.0ms	326×	body	80	valid
1.0ms	2×	body	1280	valid
1.0ms	3×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2655
4	984
3	310
2	95
1	31
0	12

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (fma (+ y z) 2 t))
0.0b	(fma y 5.0 (* x (fma (+ y z) 2 t)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

9.0ms	(* x (fma (+ y z) 2 t))
0.0ms	(fma y 5.0 (* x (fma (+ y z) 2 t)))

series173.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(* x (fma (+ y z) 2 t))
98.0ms	(fma y 5.0 (* x (fma (+ y z) 2 t)))

simplify1.7s

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
3	1998
2	411
1	129
0	64

prune292.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite13.0ms

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:

9.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

312.0ms	(* (cbrt x) (cbrt x))
254.0ms	(cbrt x)
279.0ms	(cbrt x)
298.0ms	(cbrt x)

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune615.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma y 5.0 (* (* x (sqrt (fma (+ y z) 2 t))) (sqrt (fma (+ y z) 2 t))))
0.1b	(* x (sqrt (fma (+ y z) 2 t)))
0.2b	(* (* x (sqrt (fma (+ y z) 2 t))) (sqrt (fma (+ y z) 2 t)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-r`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`sqrt-prod`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`fma-udef`

Counts

3 → 57

Calls

3 calls:

0.0ms	(fma y 5.0 (* (* x (sqrt (fma (+ y z) 2 t))) (sqrt (fma (+ y z) 2 t))))
15.0ms	(* x (sqrt (fma (+ y z) 2 t)))
37.0ms	(* (* x (sqrt (fma (+ y z) 2 t))) (sqrt (fma (+ y z) 2 t)))

series290.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(fma y 5.0 (* (* x (sqrt (fma (+ y z) 2 t))) (sqrt (fma (+ y z) 2 t))))
132.0ms	(* x (sqrt (fma (+ y z) 2 t)))
66.0ms	(* (* x (sqrt (fma (+ y z) 2 t))) (sqrt (fma (+ y z) 2 t)))

simplify1.1s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
2	1100
1	231
0	97

prune370.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes247.0ms

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	12
1	12
0	10

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.2s	10511×	body	80	valid
28.0ms	87×	body	1280	valid
23.0ms	103×	body	640	valid
12.0ms	73×	body	320	valid
3.0ms	24×	body	160	valid