Details

sample39.0ms

Algorithm

intervals

Results

13.0ms	236×	body	80	valid
2.0ms	7×	body	1280	valid
1.0ms	5×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid

simplify576.0ms

Counts

1 → 1

Iterations

Useful iterations: 5 (328.0ms)

Iter	Nodes	Cost
0	8	11
1	20	11
2	66	11
3	208	9
4	419	8
5	469	7
6	475	7
done	475	7

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma y 2 (fma 3 x z))
0.1b	(fma 3 x z)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

0.0ms	(fma y 2 (fma 3 x z))
0.0ms	(fma 3 x z)

series76.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(fma y 2 (fma 3 x z))
35.0ms	(fma 3 x z)

simplify2.6s

Counts

26 → 26

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	31	204
1	43	198
2	115	173
3	496	173
4	3356	173
done	5000	173

prune99.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma y 2 (+ (* 3 x) z))
0.0b	(+ (* 3 x) z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+` `fma-udef`

Counts

2 → 24

Calls

2 calls:

0.0ms	(fma y 2 (+ (* 3 x) z))
17.0ms	(+ (* 3 x) z)

series61.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(fma y 2 (+ (* 3 x) z))
26.0ms	(+ (* 3 x) z)

simplify1.1s

Counts

30 → 30

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	43	274
1	110	236
2	318	209
3	1177	209
done	5002	208

prune111.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 3 x z)) (cbrt (fma 3 x z)))
0.5b	(cbrt (fma 3 x z))
0.5b	(cbrt (fma 3 x z))
0.5b	(cbrt (fma 3 x z))

rewrite16.0ms

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:

11.0ms	(* (cbrt (fma 3 x z)) (cbrt (fma 3 x z)))
1.0ms	(cbrt (fma 3 x z))
1.0ms	(cbrt (fma 3 x z))
1.0ms	(cbrt (fma 3 x z))

series979.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(* (cbrt (fma 3 x z)) (cbrt (fma 3 x z)))
239.0ms	(cbrt (fma 3 x z))
200.0ms	(cbrt (fma 3 x z))
274.0ms	(cbrt (fma 3 x z))

simplify5.6s

Counts

93 → 93

Iterations

Useful iterations: done (5.6s)

Iter	Nodes	Cost
0	101	1122
1	228	1026
2	801	950
3	4407	847
done	5001	843

prune448.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (fma 3 x z)))
0.6b	(cbrt (cbrt (fma 3 x z)))
0.6b	(cbrt (cbrt (fma 3 x z)))
0.9b	(pow (cbrt (cbrt (fma 3 x z))) 4)

rewrite21.0ms

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:

3.0ms	(cbrt (cbrt (fma 3 x z)))
3.0ms	(cbrt (cbrt (fma 3 x z)))
3.0ms	(cbrt (cbrt (fma 3 x z)))
9.0ms	(pow (cbrt (cbrt (fma 3 x z))) 4)

series1.1s

Counts

4 → 12

Calls

4 calls:

268.0ms	(cbrt (cbrt (fma 3 x z)))
255.0ms	(cbrt (cbrt (fma 3 x z)))
246.0ms	(cbrt (cbrt (fma 3 x z)))
374.0ms	(pow (cbrt (cbrt (fma 3 x z))) 4)

simplify4.1s

Counts

86 → 86

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	112	1056
1	287	1011
2	934	919
3	4470	902
done	5000	902

prune441.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes94.0ms

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	7	7
done	7	7

end0.0ms

sample857.0ms

Algorithm

intervals

Results

405.0ms	7443×	body	80	valid
26.0ms	157×	body	1280	valid
23.0ms	162×	body	640	valid
15.0ms	141×	body	320	valid
8.0ms	41×	body	2560	valid
5.0ms	61×	body	160	valid