Details

sample46.0ms

Algorithm

intervals

Results

19.0ms

342×

body

valid

simplify12.5s

Counts

1 → 1

Iterations

Useful iterations: 4 (66.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma z (- y 1.0) 1.0)
2.9b	(* (fma z (- y 1.0) 1.0) x)

rewrite13.0ms

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 z (- y 1.0) 1.0)
12.0ms	(* (fma z (- y 1.0) 1.0) x)

series96.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(fma z (- y 1.0) 1.0)
73.0ms	(* (fma z (- y 1.0) 1.0) x)

simplify1.2s

Counts

36 → 36

Iterations

Useful iterations: 3 (434.0ms)

Iter	Nodes	Cost
0	52	382
1	108	372
2	319	314
3	1292	310
done	5002	310

prune122.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (fma z (- y 1.0) 1.0) x))
2.9b	(* (fma z (- y 1.0) 1.0) x)
2.9b	(* (fma z (- y 1.0) 1.0) x)
2.9b	(* (fma z (- y 1.0) 1.0) x)

rewrite33.0ms

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`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 71

Calls

4 calls:

3.0ms	(cbrt (* (fma z (- y 1.0) 1.0) x))
7.0ms	(* (fma z (- y 1.0) 1.0) x)
8.0ms	(* (fma z (- y 1.0) 1.0) x)
12.0ms	(* (fma z (- y 1.0) 1.0) x)

series370.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt (* (fma z (- y 1.0) 1.0) x))
76.0ms	(* (fma z (- y 1.0) 1.0) x)
50.0ms	(* (fma z (- y 1.0) 1.0) x)
54.0ms	(* (fma z (- y 1.0) 1.0) x)

simplify1.7s

Counts

83 → 83

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	104	1098
1	252	1066
2	746	912
3	2532	858
done	5001	837

prune360.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.0b	(* (* (fma z (- y 1.0) 1.0) (* (cbrt x) (cbrt x))) (cbrt x))
2.3b	(* (fma z (- y 1.0) 1.0) (* (cbrt x) (cbrt x)))

rewrite121.0ms

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)
88.0ms	(* (* (fma z (- y 1.0) 1.0) (* (cbrt x) (cbrt x))) (cbrt x))
29.0ms	(* (fma z (- y 1.0) 1.0) (* (cbrt x) (cbrt x)))

series768.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(cbrt x)
271.0ms	(cbrt x)
121.0ms	(* (* (fma z (- y 1.0) 1.0) (* (cbrt x) (cbrt x))) (cbrt x))
144.0ms	(* (fma z (- y 1.0) 1.0) (* (cbrt x) (cbrt x)))

simplify4.3s

Counts

85 → 85

Iterations

Useful iterations: 3 (1.9s)

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

prune320.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 2.9b

localize28.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (* (fma z (- y 1.0) 1.0) (* (cbrt x) (cbrt x))) (cbrt x))
2.3b	(* (fma z (- y 1.0) 1.0) (* (cbrt x) (cbrt x)))
2.9b	(* (fma z (- y 1.0) 1.0) x)
2.9b	(* (fma z (- y 1.0) 1.0) x)

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
16×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
13×	`associate-r`
11×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

87.0ms	(* (* (fma z (- y 1.0) 1.0) (* (cbrt x) (cbrt x))) (cbrt x))
54.0ms	(* (fma z (- y 1.0) 1.0) (* (cbrt x) (cbrt x)))
15.0ms	(* (fma z (- y 1.0) 1.0) x)
8.0ms	(* (fma z (- y 1.0) 1.0) x)

series437.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (* (fma z (- y 1.0) 1.0) (* (cbrt x) (cbrt x))) (cbrt x))
187.0ms	(* (fma z (- y 1.0) 1.0) (* (cbrt x) (cbrt x)))
63.0ms	(* (fma z (- y 1.0) 1.0) x)
70.0ms	(* (fma z (- y 1.0) 1.0) x)

simplify3.3s

Counts

99 → 99

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	117	1510
1	285	1466
2	1024	1140
3	4055	1039
done	5000	1039

prune425.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 2.9b

regimes162.0ms

Accuracy

0% (0.2b remaining)

Error of 3.4b against oracle of 3.3b 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

sample1.3s

Algorithm

intervals

Results

452.0ms

10043×

body

valid