Details

sample38.0ms

Algorithm

intervals

Results

18.0ms	337×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	320	valid

simplify3.2s

Counts

1 → 1

Iterations

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

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:

0.0ms	(fma y 5.0 (* x (fma (+ y z) 2 t)))
10.0ms	(* x (fma (+ y z) 2 t))

series166.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(fma y 5.0 (* x (fma (+ y z) 2 t)))
76.0ms	(* x (fma (+ y z) 2 t))

simplify1.1s

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
3	2149
2	416
1	129
0	64

prune264.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`flip3-+` `associate-l/` `associate-r/` `flip-+`
1×	`+-commutative` `sum-log` `fma-def` `associate-r` `*-commutative` `fma-udef`

Counts

3 → 46

Calls

3 calls:

23.0ms	(* x (* (+ y z) 2))
33.0ms	(+ (* x (* (+ y z) 2)) (* t x))
1.0ms	(fma y 5.0 (+ (* x (* (+ y z) 2)) (* t x)))

series208.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* x (* (+ y z) 2))
72.0ms	(+ (* x (* (+ y z) 2)) (* t x))
88.0ms	(fma y 5.0 (+ (* x (* (+ y z) 2)) (* t x)))

simplify692.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
2	1077
1	271
0	97

prune376.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

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)

rewrite15.0ms

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)

series1.0s

Counts

4 → 12

Calls

4 calls:

273.0ms	(* (cbrt x) (cbrt x))
239.0ms	(cbrt x)
284.0ms	(cbrt x)
253.0ms	(cbrt x)

simplify995.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune503.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt x)
2.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (cbrt x))

series1.4s

Counts

4 → 12

Calls

4 calls:

321.0ms	(cbrt x)
378.0ms	(cbrt (cbrt x))
349.0ms	(cbrt (cbrt x))
371.0ms	(cbrt (cbrt x))

simplify1.4s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
4	2403
3	656
2	193
1	81
0	46

prune635.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes285.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s	10706×	body	80	valid
47.0ms	88×	body	640	valid
33.0ms	58×	body	320	valid
23.0ms	90×	body	1280	valid
4.0ms	31×	body	160	valid