Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

328×

body

valid

simplify3.0s

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	413	9
8	585	9
9	664	9
10	775	9
11	1052	9
12	1867	9
13	2105	9
14	2264	9
done	2264	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* (- 1.0 y) z))
0.0b	(* (- 1.0 y) z)
3.2b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

2.0ms	(- 1.0 (* (- 1.0 y) z))
14.0ms	(* (- 1.0 y) z)
8.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series105.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(- 1.0 (* (- 1.0 y) z))
36.0ms	(* (- 1.0 y) z)
47.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify1.5s

Counts

67 → 67

Iterations

Useful iterations: 3 (571.0ms)

Iter	Nodes	Cost
0	102	720
1	234	695
2	689	621
3	2518	605
done	5000	605

prune127.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x z) (- y 1.0)))
2.9b	(* (* x z) (- y 1.0))

rewrite17.0ms

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:

3.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
13.0ms	(* (* x z) (- y 1.0))

series117.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
51.0ms	(* (* x z) (- y 1.0))

simplify2.8s

Counts

47 → 47

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	90	589
1	255	557
2	1009	453
3	4848	451
done	5000	451

prune90.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 1.0) (+ (* y (* x z)) (* (- 1.0) (* x z))))
0.0b	(+ (* y (* x z)) (* (- 1.0) (* x z)))
2.9b	(* y (* x z))

rewrite27.0ms

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:

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

series135.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (* x 1.0) (+ (* y (* x z)) (* (- 1.0) (* x z))))
50.0ms	(+ (* y (* x z)) (* (- 1.0) (* x z)))
23.0ms	(* y (* x z))

simplify861.0ms

Counts

56 → 56

Iterations

Useful iterations: done (860.0ms)

Iter	Nodes	Cost
0	90	804
1	276	576
2	1138	521
done	5000	509

prune124.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.9b	(* (cbrt y) (* x z))
2.2b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* x z)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
4×	`add-log-exp`
2×	`pow1/3` `associate-r` `*-commutative`

Counts

4 → 71

Calls

4 calls:

0.0ms	(cbrt y)
3.0ms	(cbrt y)
7.0ms	(* (cbrt y) (* x z))
26.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* x z)))

series486.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt y)
176.0ms	(cbrt y)
99.0ms	(* (cbrt y) (* x z))
43.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* x z)))

simplify1.5s

Counts

83 → 83

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	86	800
1	229	771
2	854	537
done	5000	439

prune169.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes225.0ms

Accuracy

90.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.6b

bsearch82.0ms

Steps

Iters	Range		Point
9	2.98981622259577e-117	1.5705236937322577e-111	2.0207365946672857e-115
9	-2.2476638818301446e-113	-2.422475804294167e-121	-2.9793572429289874e-117

simplify6.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	21	56
1	36	41
2	39	41
3	46	41
done	46	41

end0.0ms

sample430.0ms

Algorithm

intervals

Results

231.0ms

10150×

body

valid