Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

321×

body

valid

simplify8.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	34	9
3	77	9
4	174	9
5	258	9
6	351	9
7	416	9
8	596	9
9	659	9
10	745	9
11	1016	9
12	1811	9
13	2048	9
14	2214	9
done	2214	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
4.3b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-l*`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 46

Calls

2 calls:

11.0ms	(* (- 1.0 y) z)
8.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- 1.0 y) z)
52.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify1.5s

Counts

52 → 52

Iterations

Useful iterations: 3 (665.0ms)

Iter	Nodes	Cost
0	93	536
1	212	518
2	638	458
3	2416	450
done	5000	450

prune111.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x z) (- y 1.0)))
4.3b	(* (* x z) (- y 1.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `add-log-exp`
3×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 41

Calls

2 calls:

4.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
12.0ms	(* (* x z) (- y 1.0))

series117.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
52.0ms	(* (* x z) (- y 1.0))

simplify3.1s

Counts

47 → 47

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	90	589
1	255	557
2	1009	453
3	4836	451
done	5000	451

prune93.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y (* x z)) (* (- 1.0) (* x z)))
0.0b	(+ (* x 1.0) (+ (* y (* x z)) (* (- 1.0) (* x z))))
4.4b	(* y (* x z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`distribute-lft-neg-out` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `sum-log`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `associate-+r-` `flip3-+` `unsub-neg` `flip-+`
1×	`associate-+r+` `distribute-rgt-out` `associate-r` `*-commutative`

Counts

3 → 47

Calls

3 calls:

6.0ms	(+ (* y (* x z)) (* (- 1.0) (* x z)))
15.0ms	(+ (* x 1.0) (+ (* y (* x z)) (* (- 1.0) (* x z))))
6.0ms	(* y (* x z))

series137.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ (* y (* x z)) (* (- 1.0) (* x z)))
59.0ms	(+ (* x 1.0) (+ (* y (* x z)) (* (- 1.0) (* x z))))
26.0ms	(* y (* x z))

simplify581.0ms

Counts

56 → 56

Iterations

Useful iterations: done (579.0ms)

Iter	Nodes	Cost
0	90	804
1	276	576
2	1139	521
done	5000	483

prune114.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

4.4b	(* y (* x z))
11.8b	(cbrt (* y (* x z)))
11.8b	(cbrt (* y (* x z)))
11.8b	(cbrt (* y (* x z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

6.0ms	(* y (* x z))
4.0ms	(cbrt (* y (* x z)))
5.0ms	(cbrt (* y (* x z)))
4.0ms	(cbrt (* y (* x z)))

series297.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* y (* x z))
88.0ms	(cbrt (* y (* x z)))
91.0ms	(cbrt (* y (* x z)))
92.0ms	(cbrt (* y (* x z)))

simplify2.7s

Counts

57 → 57

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	75	522
1	176	504
2	533	423
3	1667	408
4	4868	378
done	5000	378

prune159.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes92.0ms

Accuracy

81.5% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.7b

bsearch78.0ms

Steps

Iters	Range		Point
8	1.3884479266708147e-62	4.445109554889498e-58	2.1856788904363955e-58
9	-5.115496965164263e+93	-1.9726095898597244e+87	-5.928829482005966e+90

simplify5.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	21	54
1	36	39
2	39	39
3	46	39
done	46	39

end0.0ms

sample424.0ms

Algorithm

intervals

Results

228.0ms

10116×

body

valid