Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

327×

body

valid

simplify8.3s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize7.0ms

Local error

Found 1 expressions with local error:

4.8b	(* (fma (- y 1.0) z 1.0) x)

rewrite4.0ms

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:

3.0ms

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

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify2.6s

Counts

23 → 23

Iterations

Useful iterations: 3 (216.0ms)

Iter	Nodes	Cost
0	44	266
1	94	259
2	295	219
3	988	215
4	3428	215
done	5000	215

prune67.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.9b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) (* (cbrt (fma (- y 1.0) z 1.0)) x))
5.0b	(cbrt (fma (- y 1.0) z 1.0))
5.0b	(cbrt (fma (- y 1.0) z 1.0))
5.0b	(cbrt (fma (- y 1.0) z 1.0))

rewrite20.0ms

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:

16.0ms	(* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) (* (cbrt (fma (- y 1.0) z 1.0)) x))
0.0ms	(cbrt (fma (- y 1.0) z 1.0))
0.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))

series408.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0))) (* (cbrt (fma (- y 1.0) z 1.0)) x))
118.0ms	(cbrt (fma (- y 1.0) z 1.0))
117.0ms	(cbrt (fma (- y 1.0) z 1.0))
115.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify1.7s

Counts

75 → 75

Iterations

Useful iterations: 3 (610.0ms)

Iter	Nodes	Cost
0	102	1595
1	271	1519
2	812	1053
3	2771	840
done	5001	840

prune251.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.9b

localize16.0ms

Local error

Found 4 expressions with local error:

5.0b	(cbrt (fma (- y 1.0) z 1.0))
5.0b	(cbrt (fma (- y 1.0) z 1.0))
5.0b	(cbrt (fma (- y 1.0) z 1.0))
5.0b	(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))

series472.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (fma (- y 1.0) z 1.0))
117.0ms	(cbrt (fma (- y 1.0) z 1.0))
116.0ms	(cbrt (fma (- y 1.0) z 1.0))
121.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify1.5s

Counts

64 → 64

Iterations

Useful iterations: 4 (738.0ms)

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

prune312.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 4.9b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* x (fma (- y 1.0) z 1.0)))
4.8b	(* x (fma (- y 1.0) z 1.0))
4.8b	(* x (fma (- y 1.0) z 1.0))
4.8b	(* x (fma (- y 1.0) z 1.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

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

series370.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt (* x (fma (- y 1.0) z 1.0)))
54.0ms	(* x (fma (- y 1.0) z 1.0))
59.0ms	(* x (fma (- y 1.0) z 1.0))
59.0ms	(* x (fma (- y 1.0) z 1.0))

simplify865.0ms

Counts

89 → 89

Iterations

Useful iterations: 3 (275.0ms)

Iter	Nodes	Cost
0	108	1158
1	258	1125
2	671	969
3	2207	917
done	5000	917

prune302.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 4.9b

regimes133.0ms

Accuracy

0% (0.2b 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

sample469.0ms

Algorithm

intervals

Results

253.0ms

10179×

body

valid