Details

sample73.0ms

Algorithm

intervals

Results

29.0ms

466×

body

valid

simplify77.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	67	15
1	225	13
2	823	12
3	3028	12
4	5001	12
done	5001	12

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* (* j 27.0) k)
2.4b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
6.1b	(* (* (* x 18.0) y) z)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `*-commutative`
1×	`fma-udef`

Counts

4 → 73

Calls

4 calls:

18.0ms	(* (* x 18.0) y)
18.0ms	(* (* j 27.0) k)
0.0ms	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
58.0ms	(* (* (* x 18.0) y) z)

series3.1s

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x 18.0) y)
21.0ms	(* (* j 27.0) k)
3.1s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
36.0ms	(* (* (* x 18.0) y) z)

simplify74.0ms

Counts

85 → 85

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	326	447
1	1657	364
2	5001	364
done	5001	364

prune390.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.3b	(* (* j 27.0) k)
2.4b	(fma t (- (* (* x (* 18.0 y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
6.1b	(* (* x (* 18.0 y)) z)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

16.0ms	(* x (* 18.0 y))
18.0ms	(* (* j 27.0) k)
0.0ms	(fma t (- (* (* x (* 18.0 y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
50.0ms	(* (* x (* 18.0 y)) z)

series3.1s

Counts

4 → 12

Calls

4 calls:

23.0ms	(* x (* 18.0 y))
21.0ms	(* (* j 27.0) k)
3.0s	(fma t (- (* (* x (* 18.0 y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
36.0ms	(* (* x (* 18.0 y)) z)

simplify56.0ms

Counts

85 → 85

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	324	447
1	1471	364
2	5001	364
done	5001	364

prune376.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.9b

localize32.0ms

Local error

Found 4 expressions with local error:

6.1b	(* (* x (* 18.0 y)) z)
7.7b	(cbrt (* (* j 27.0) k))
7.7b	(cbrt (* (* j 27.0) k))
7.7b	(cbrt (* (* j 27.0) k))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

49.0ms	(* (* x (* 18.0 y)) z)
13.0ms	(cbrt (* (* j 27.0) k))
13.0ms	(cbrt (* (* j 27.0) k))
13.0ms	(cbrt (* (* j 27.0) k))

series368.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x (* 18.0 y)) z)
112.0ms	(cbrt (* (* j 27.0) k))
112.0ms	(cbrt (* (* j 27.0) k))
114.0ms	(cbrt (* (* j 27.0) k))

simplify41.0ms

Counts

68 → 68

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	245	350
1	956	301
2	5002	277
done	5002	277

prune450.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.9b

localize37.0ms

Local error

Found 4 expressions with local error:

7.7b	(cbrt (* (* j 27.0) k))
7.7b	(cbrt (* (* j 27.0) k))
7.7b	(cbrt (* (* j 27.0) k))
7.7b	(cbrt (* (* j 27.0) k))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

17.0ms	(cbrt (* (* j 27.0) k))
13.0ms	(cbrt (* (* j 27.0) k))
13.0ms	(cbrt (* (* j 27.0) k))
13.0ms	(cbrt (* (* j 27.0) k))

series451.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(cbrt (* (* j 27.0) k))
112.0ms	(cbrt (* (* j 27.0) k))
112.0ms	(cbrt (* (* j 27.0) k))
114.0ms	(cbrt (* (* j 27.0) k))

simplify117.0ms

Counts

56 → 56

Iterations

Useful iterations: 4 (38.0ms)

Iter	Nodes	Cost
0	91	304
1	177	276
2	423	244
3	1037	244
4	3361	220
5	5001	220
done	5001	220

prune407.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 1.9b

regimes1.4s

Accuracy

33.9% (2.5b remaining)

Error of 4.6b against oracle of 2.0b and baseline of 5.9b

bsearch160.0ms

Steps

Iters	Range		Point
10	-1.810164822542513e-15	-5.443471030971674e-27	-2.12817846921358e-23

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	24
1	50	24
done	50	24

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.0s

16252×

body

valid