Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

316×

body

valid

simplify13.3s

Counts

1 → 1

Iterations

Useful iterations: 4 (37.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize7.0ms

Local error

Found 1 expressions with local error:

3.6b	(* (fma z (- y 1.0) 1.0) x)

rewrite8.0ms

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:

7.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify2.2s

Counts

23 → 23

Iterations

Useful iterations: 3 (389.0ms)

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

prune74.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0)))
3.8b	(cbrt (fma z (- y 1.0) 1.0))
3.8b	(cbrt (fma z (- y 1.0) 1.0))
3.8b	(cbrt (fma z (- y 1.0) 1.0))

rewrite21.0ms

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:

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

series671.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt (fma z (- y 1.0) 1.0)) (cbrt (fma z (- y 1.0) 1.0)))
160.0ms	(cbrt (fma z (- y 1.0) 1.0))
129.0ms	(cbrt (fma z (- y 1.0) 1.0))
175.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	120	1730
1	289	1578
2	783	1444
3	2188	1192
done	5000	1145

prune431.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.6b

localize34.0ms

Local error

Found 4 expressions with local error:

3.8b	(cbrt (fma z (- y 1.0) 1.0))
3.8b	(cbrt (fma z (- y 1.0) 1.0))
3.8b	(cbrt (fma z (- y 1.0) 1.0))
3.8b	(cbrt (fma z (- y 1.0) 1.0))

rewrite9.0ms

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:

2.0ms	(cbrt (fma z (- y 1.0) 1.0))
2.0ms	(cbrt (fma z (- y 1.0) 1.0))
2.0ms	(cbrt (fma z (- y 1.0) 1.0))
2.0ms	(cbrt (fma z (- y 1.0) 1.0))

series541.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(cbrt (fma z (- y 1.0) 1.0))
121.0ms	(cbrt (fma z (- y 1.0) 1.0))
138.0ms	(cbrt (fma z (- y 1.0) 1.0))
177.0ms	(cbrt (fma z (- y 1.0) 1.0))

simplify2.7s

Counts

64 → 64

Iterations

Useful iterations: done (2.7s)

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

prune421.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 3.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(* (* (fma z (- y 1.0) 1.0) (* (cbrt x) (cbrt x))) (cbrt x))
3.4b	(* (fma z (- y 1.0) 1.0) (* (cbrt x) (cbrt x)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
84.0ms	(* (* (fma z (- y 1.0) 1.0) (* (cbrt x) (cbrt x))) (cbrt x))
24.0ms	(* (fma z (- y 1.0) 1.0) (* (cbrt x) (cbrt x)))

series685.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(cbrt x)
209.0ms	(cbrt x)
84.0ms	(* (* (fma z (- y 1.0) 1.0) (* (cbrt x) (cbrt x))) (cbrt x))
138.0ms	(* (fma z (- y 1.0) 1.0) (* (cbrt x) (cbrt x)))

simplify4.2s

Counts

85 → 85

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	108	1120
1	270	1082
2	983	775
3	4664	682
done	5000	682

prune209.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 3.6b

regimes148.0ms

Accuracy

0% (0.1b remaining)

Error of 3.3b against oracle of 3.2b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample962.0ms

Algorithm

intervals

Results

466.0ms

10122×

body

valid