Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

322×

body

valid

simplify9.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	15	9
2	31	8
3	63	8
4	104	8
5	161	8
6	198	8
7	238	8
8	294	8
9	416	8
10	565	8
11	653	8
12	756	8
13	820	8
14	839	8
15	883	8
16	980	8
17	1223	8
18	1476	8
19	1801	8
20	2018	8
21	2028	8
22	2030	8
done	2030	8

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(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)

series44.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify732.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	23	154
1	44	151
2	107	135
3	297	123
4	1295	123
done	5001	123

prune39.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y x) 6.0)
0.7b	(* (* (- y x) 6.0) z)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

10.0ms	(* (- y x) 6.0)
15.0ms	(* (* (- y x) 6.0) z)

series78.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (- y x) 6.0)
46.0ms	(* (* (- y x) 6.0) z)

simplify2.0s

Counts

52 → 52

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	83	452
1	194	434
2	734	368
3	3096	368
done	5000	368

prune111.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (* (- y x) 6.0) z)
3.6b	(cbrt (* (* (- y x) 6.0) z))
3.6b	(cbrt (* (* (- y x) 6.0) z))
3.6b	(cbrt (* (* (- y x) 6.0) z))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-*l/`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`cbrt-div`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 61

Calls

4 calls:

17.0ms	(* (* (- y x) 6.0) z)
12.0ms	(cbrt (* (* (- y x) 6.0) z))
12.0ms	(cbrt (* (* (- y x) 6.0) z))
12.0ms	(cbrt (* (* (- y x) 6.0) z))

series671.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* (- y x) 6.0) z)
203.0ms	(cbrt (* (* (- y x) 6.0) z))
210.0ms	(cbrt (* (* (- y x) 6.0) z))
208.0ms	(cbrt (* (* (- y x) 6.0) z))

simplify1.8s

Counts

73 → 73

Iterations

Useful iterations: 3 (669.0ms)

Iter	Nodes	Cost
0	127	990
1	309	963
2	969	866
3	3592	824
done	5000	824

prune288.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (* y y) (* x x)) 6.0)
2.0b	(- (* y y) (* x x))
6.3b	(* (* (- (* y y) (* x x)) 6.0) z)
18.2b	(/ (* (* (- (* y y) (* x x)) 6.0) z) (+ y x))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
13×	`*-un-lft-identity`
11×	`pow1` `add-sqr-sqrt`
10×	`associate-*l/`
9×	`add-cube-cbrt`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-r` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `flip3--` `times-frac` `pow-prod-down` `associate-/r*` `flip--` `log1p-expm1-u`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/r/` `*-commutative` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `prod-diff` `clear-num` `flip-+` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

10.0ms	(* (- (* y y) (* x x)) 6.0)
3.0ms	(- (* y y) (* x x))
16.0ms	(* (* (- (* y y) (* x x)) 6.0) z)
23.0ms	(/ (* (* (- (* y y) (* x x)) 6.0) z) (+ y x))

series234.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (- (* y y) (* x x)) 6.0)
43.0ms	(- (* y y) (* x x))
60.0ms	(* (* (- (* y y) (* x x)) 6.0) z)
80.0ms	(/ (* (* (- (* y y) (* x x)) 6.0) z) (+ y x))

simplify842.0ms

Counts

105 → 105

Iterations

Useful iterations: 2 (233.0ms)

Iter	Nodes	Cost
0	151	1580
1	409	1513
2	1992	1236
done	5000	1236

prune273.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes117.0ms

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	8	9
1	11	9
done	11	9

end0.0ms

sample450.0ms

Algorithm

intervals

Results

239.0ms

10059×

body

valid