Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

339×

body

valid

simplify155.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	15	4
1	32	3
2	73	3
3	150	3
4	235	3
5	277	3
6	317	3
7	371	3
8	542	3
9	974	3
10	2015	3
11	2736	3
12	3606	3
13	4676	3
14	5001	3
done	5001	3

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) z))
0.0b	(* (- y x) 6.0)
0.2b	(* (* (- y x) 6.0) z)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`associate-r` `associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

7.0ms	(+ x (* (* (- y x) 6.0) z))
20.0ms	(* (- y x) 6.0)
36.0ms	(* (* (- y x) 6.0) z)

series118.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ x (* (* (- y x) 6.0) z))
33.0ms	(* (- y x) 6.0)
39.0ms	(* (* (- y x) 6.0) z)

simplify41.0ms

Counts

71 → 71

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	259	314
1	1122	267
2	5002	265
done	5002	265

prune158.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.4b	(fma (- y x) (* 6.0 z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (- y x) (* 6.0 z) x)

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(fma (- y x) (* 6.0 z) x)

simplify59.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	44	69
1	110	59
2	343	53
3	1684	53
4	5002	53
done	5002	53

prune42.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))
0.6b	(* (cbrt (- y x)) (cbrt (- y x)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

4.0ms	(cbrt (- y x))
4.0ms	(cbrt (- y x))
4.0ms	(cbrt (- y x))
39.0ms	(* (cbrt (- y x)) (cbrt (- y x)))

series597.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (- y x))
157.0ms	(cbrt (- y x))
158.0ms	(cbrt (- y x))
132.0ms	(* (cbrt (- y x)) (cbrt (- y x)))

simplify163.0ms

Counts

121 → 121

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	270	790
1	955	753
2	4630	700
3	5001	700
done	5001	700

prune350.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
3.3b	(cbrt (* (* (- y x) 6.0) z))
3.3b	(cbrt (* (* (- y x) 6.0) z))
3.3b	(cbrt (* (* (- y x) 6.0) z))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

38×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

55.0ms	(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
26.0ms	(cbrt (* (* (- y x) 6.0) z))
29.0ms	(cbrt (* (* (- y x) 6.0) z))
26.0ms	(cbrt (* (* (- y x) 6.0) z))

series902.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
210.0ms	(cbrt (* (* (- y x) 6.0) z))
203.0ms	(cbrt (* (* (- y x) 6.0) z))
198.0ms	(cbrt (* (* (- y x) 6.0) z))

simplify52.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	394	883
1	1365	817
2	5002	765
done	5002	765

prune318.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes122.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4
done	11	4

end0.0ms

sample482.0ms

Algorithm

intervals

Results

216.0ms

10122×

body

valid