Details

sample51.0ms

Algorithm

intervals

Results

19.0ms

372×

body

valid

simplify6.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	17	329
1	35	329
2	90	304
3	234	304
4	479	304
5	785	304
6	1259	304
7	1579	304
8	1794	304
9	2110	304
10	2752	304
11	3636	304
12	4854	304
done	5000	304

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.1b

localize20.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* y 9.0) z)
0.3b	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
7.7b	(* (* (* y 9.0) z) t)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

14.0ms	(* (* y 9.0) z)
0.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
47.0ms	(* (* (* y 9.0) z) t)

series287.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (* y 9.0) z)
220.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
39.0ms	(* (* (* y 9.0) z) t)

simplify4.0s

Counts

62 → 62

Iterations

Useful iterations: 2 (239.0ms)

Iter	Nodes	Cost
0	96	12722
1	228	11935
2	775	11215
3	3515	11215
done	5000	11215

prune471.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.3b	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
5.3b	(* (* y 9.0) (* z t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
21.0ms	(* (* y 9.0) (* z t))

series274.0ms

Counts

2 → 6

Calls

2 calls:

227.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
47.0ms	(* (* y 9.0) (* z t))

simplify3.2s

Counts

40 → 40

Iterations

Useful iterations: 2 (265.0ms)

Iter	Nodes	Cost
0	76	9781
1	180	9146
2	650	8506
3	2904	8506
done	5000	8506

prune304.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 9.0 (* z t))
0.3b	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
5.1b	(* y (* 9.0 (* z t)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

16.0ms	(* 9.0 (* z t))
0.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
33.0ms	(* y (* 9.0 (* z t)))

series294.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* 9.0 (* z t))
243.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
31.0ms	(* y (* 9.0 (* z t)))

simplify4.3s

Counts

62 → 62

Iterations

Useful iterations: 2 (256.0ms)

Iter	Nodes	Cost
0	92	12642
1	206	11937
2	722	11377
3	3127	11377
done	5009	11377

prune520.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

5.3b	(* (* y 9.0) (* z t))
10.1b	(cbrt (* (* y 9.0) (* z t)))
10.1b	(cbrt (* (* y 9.0) (* z t)))
10.1b	(cbrt (* (* y 9.0) (* z t)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

40.0ms	(* (* y 9.0) (* z t))
33.0ms	(cbrt (* (* y 9.0) (* z t)))
32.0ms	(cbrt (* (* y 9.0) (* z t)))
31.0ms	(cbrt (* (* y 9.0) (* z t)))

series562.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* y 9.0) (* z t))
162.0ms	(cbrt (* (* y 9.0) (* z t)))
204.0ms	(cbrt (* (* y 9.0) (* z t)))
164.0ms	(cbrt (* (* y 9.0) (* z t)))

simplify3.7s

Counts

69 → 69

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	96	19150
1	232	18377
2	746	17287
3	3082	16807
done	5001	16267

prune604.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes2.7s

Accuracy

85.5% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.6b

bsearch2.0ms

simplify17.0ms

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	28	806
1	41	806
done	41	806

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.1s

10939×

body

valid