Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

332×

body

valid

simplify13.5s

Counts

1 → 1

Iterations

Useful iterations: 4 (58.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	34	9
3	92	9
4	190	8
5	409	8
6	586	8
7	695	8
8	901	8
9	1051	8
10	1256	8
11	1500	8
12	2071	8
13	2349	8
14	2564	8
15	2572	8
done	2572	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize10.0ms

Local error

Found 1 expressions with local error:

3.7b	(* (fma z (- y 1.0) 1.0) x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

12.0ms

(* (fma z (- y 1.0) 1.0) x)

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

(* (fma z (- y 1.0) 1.0) x)

simplify2.0s

Counts

23 → 23

Iterations

Useful iterations: 3 (301.0ms)

Iter	Nodes	Cost
0	44	266
1	94	259
2	300	219
3	1108	215
done	5000	215

prune61.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 3.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0))) (* (cbrt (fma z (- y 1.0) 1.0)) x))
3.9b	(cbrt (fma z (- y 1.0) 1.0))
3.9b	(cbrt (fma z (- y 1.0) 1.0))
3.9b	(cbrt (fma z (- y 1.0) 1.0))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

68.0ms	(* (* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0))) (* (cbrt (fma z (- y 1.0) 1.0)) x))
1.0ms	(cbrt (fma z (- y 1.0) 1.0))
1.0ms	(cbrt (fma z (- y 1.0) 1.0))
1.0ms	(cbrt (fma z (- y 1.0) 1.0))

series481.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0))) (* (cbrt (fma z (- y 1.0) 1.0)) x))
124.0ms	(cbrt (fma z (- y 1.0) 1.0))
148.0ms	(cbrt (fma z (- y 1.0) 1.0))
151.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify1.8s

Counts

75 → 75

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	103	1595
1	263	1519
2	829	1047
3	2418	840
done	5000	813

prune249.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.7b

localize29.0ms

Local error

Found 4 expressions with local error:

3.9b	(cbrt (fma z (- y 1.0) 1.0))
3.9b	(cbrt (fma z (- y 1.0) 1.0))
3.9b	(cbrt (fma z (- y 1.0) 1.0))
3.9b	(cbrt (fma z (- y 1.0) 1.0))

rewrite6.0ms

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

series541.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (fma z (- y 1.0) 1.0))
129.0ms	(cbrt (fma z (- y 1.0) 1.0))
127.0ms	(cbrt (fma z (- y 1.0) 1.0))
137.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify2.4s

Counts

64 → 64

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	62	1048
1	146	996
2	351	920
3	984	792
4	3059	752
done	5000	724

prune339.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.7b

localize35.0ms

Local error

Found 4 expressions with local error:

3.9b	(cbrt (fma z (- y 1.0) 1.0))
3.9b	(cbrt (fma z (- y 1.0) 1.0))
3.9b	(cbrt (fma z (- y 1.0) 1.0))
3.9b	(cbrt (fma z (- y 1.0) 1.0))

rewrite13.0ms

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 z (- y 1.0) 1.0))
1.0ms	(cbrt (fma z (- y 1.0) 1.0))
8.0ms	(cbrt (fma z (- y 1.0) 1.0))
1.0ms	(cbrt (fma z (- y 1.0) 1.0))

series513.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt (fma z (- y 1.0) 1.0))
131.0ms	(cbrt (fma z (- y 1.0) 1.0))
124.0ms	(cbrt (fma z (- y 1.0) 1.0))
138.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify2.3s

Counts

64 → 64

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	62	1048
1	146	996
2	351	920
3	984	792
4	3059	752
done	5000	724

prune297.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.7b

regimes104.0ms

Accuracy

0% (0.1b remaining)

Error of 3.4b against oracle of 3.2b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.1s

Algorithm

intervals

Results

473.0ms

10117×

body

valid