Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

328×

body

valid

simplify8.4s

Counts

1 → 1

Iterations

Useful iterations: 4 (29.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	34	9
3	85	9
4	198	8
5	330	8
6	506	8
7	597	8
8	806	8
9	921	8
10	1102	8
11	1431	8
12	2256	8
13	2585	8
14	2813	8
15	2821	8
done	2821	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (- y 1.0) z 1.0)
3.2b	(* (fma (- y 1.0) z 1.0) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma (- y 1.0) z 1.0)
3.0ms	(* (fma (- y 1.0) z 1.0) x)

series91.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(fma (- y 1.0) z 1.0)
61.0ms	(* (fma (- y 1.0) z 1.0) x)

simplify1.2s

Counts

36 → 36

Iterations

Useful iterations: 3 (257.0ms)

Iter	Nodes	Cost
0	52	382
1	108	372
2	318	314
3	1298	310
done	5000	310

prune112.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0)))
3.4b	(cbrt (fma (- y 1.0) z 1.0))
3.4b	(cbrt (fma (- y 1.0) z 1.0))
3.4b	(cbrt (fma (- y 1.0) z 1.0))

rewrite10.0ms

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:

6.0ms	(* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0)))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))

series473.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0)))
120.0ms	(cbrt (fma (- y 1.0) z 1.0))
115.0ms	(cbrt (fma (- y 1.0) z 1.0))
112.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify927.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (381.0ms)

Iter	Nodes	Cost
0	118	1730
1	288	1577
2	740	1453
3	2333	1192
done	5001	1192

prune352.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 3.2b

localize15.0ms

Local error

Found 4 expressions with local error:

3.4b	(cbrt (fma (- y 1.0) z 1.0))
3.4b	(cbrt (fma (- y 1.0) z 1.0))
3.4b	(cbrt (fma (- y 1.0) z 1.0))
3.4b	(cbrt (fma (- y 1.0) z 1.0))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))

series448.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(cbrt (fma (- y 1.0) z 1.0))
111.0ms	(cbrt (fma (- y 1.0) z 1.0))
113.0ms	(cbrt (fma (- y 1.0) z 1.0))
111.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify1.5s

Counts

64 → 64

Iterations

Useful iterations: 4 (713.0ms)

Iter	Nodes	Cost
0	61	1048
1	147	996
2	339	928
3	1025	792
4	3827	756
done	5000	756

prune290.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 3.2b

localize16.0ms

Local error

Found 4 expressions with local error:

3.4b	(cbrt (fma (- y 1.0) z 1.0))
3.4b	(cbrt (fma (- y 1.0) z 1.0))
3.4b	(cbrt (fma (- y 1.0) z 1.0))
3.4b	(cbrt (fma (- y 1.0) z 1.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))

series455.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(cbrt (fma (- y 1.0) z 1.0))
113.0ms	(cbrt (fma (- y 1.0) z 1.0))
111.0ms	(cbrt (fma (- y 1.0) z 1.0))
114.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify1.5s

Counts

64 → 64

Iterations

Useful iterations: 4 (728.0ms)

Iter	Nodes	Cost
0	61	1048
1	147	996
2	339	928
3	1025	792
4	3827	756
done	5000	756

prune304.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 3.2b

regimes154.0ms

Accuracy

0% (0.2b remaining)

Error of 3.5b against oracle of 3.4b and baseline of 3.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample442.0ms

Algorithm

intervals

Results

234.0ms

10150×

body

valid