Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

314×

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: 4.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
3.8b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite21.0ms

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:

12.0ms	(* (- 1.0 y) z)
7.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series77.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- 1.0 y) z)
47.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify1.3s

Counts

52 → 52

Iterations

Useful iterations: 3 (434.0ms)

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

prune96.0ms

Pruning

4 alts after pruning (3 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)))
2.1b	(* (* x z) (- y 1.0))

rewrite16.0ms

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

series112.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
49.0ms	(* (* 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

prune87.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.5b	(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))
2.7b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`add-cbrt-cube`
10×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in`
9×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`sub-neg` `associate-*r/`
4×	`associate-r` `add-log-exp`
2×	`flip3--` `pow1/3` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
8.0ms	(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))
21.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))

series705.0ms

Counts

4 → 12

Calls

4 calls:

361.0ms	(cbrt x)
172.0ms	(cbrt x)
106.0ms	(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))
65.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))

simplify595.0ms

Counts

94 → 94

Iterations

Useful iterations: 2 (107.0ms)

Iter	Nodes	Cost
0	122	1368
1	329	1335
2	1237	994
done	5000	994

prune198.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 y) z)
1.1b	(* (sqrt x) (* (sqrt x) (- 1.0 (* (- 1.0 y) z))))
1.7b	(* (sqrt x) (- 1.0 (* (- 1.0 y) z)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

10.0ms	(* (- 1.0 y) z)
15.0ms	(* (sqrt x) (* (sqrt x) (- 1.0 (* (- 1.0 y) z))))
9.0ms	(* (sqrt x) (- 1.0 (* (- 1.0 y) z)))

series142.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* (- 1.0 y) z)
48.0ms	(* (sqrt x) (* (sqrt x) (- 1.0 (* (- 1.0 y) z))))
64.0ms	(* (sqrt x) (- 1.0 (* (- 1.0 y) z)))

simplify2.5s

Counts

90 → 90

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	143	1244
1	345	1051
2	1143	929
3	4482	907
done	5000	903

prune160.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes183.0ms

Accuracy

89.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.7b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	19	47
1	28	37
done	28	37

end0.0ms

sample433.0ms

Algorithm

intervals

Results

230.0ms

9988×

body

valid