Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

327×

body

valid

simplify20.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	34	9
3	78	9
4	177	9
5	285	9
6	398	9
7	525	9
8	730	9
9	1196	9
10	1770	9
11	2512	9
12	2580	9
13	3196	9
done	5001	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
4.8b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite19.0ms

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

series81.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- 1.0 y) z)
51.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify1.4s

Counts

52 → 52

Iterations

Useful iterations: 3 (317.0ms)

Iter	Nodes	Cost
0	93	536
1	216	518
2	807	458
3	3053	450
done	5000	450

prune95.0ms

Pruning

6 alts after pruning (5 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)))
2.0b	(* (* 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)))
12.0ms	(* (* x z) (- y 1.0))

series111.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
50.0ms	(* (* x z) (- y 1.0))

simplify494.0ms

Counts

47 → 47

Iterations

Useful iterations: done (493.0ms)

Iter	Nodes	Cost
0	90	589
1	258	557
2	1113	453
done	5001	451

prune87.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ (* z y) 1.0)) (* (- 1.0) (* x z)))
4.8b	(* x (+ (* z y) 1.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

6.0ms	(+ (* x (+ (* z y) 1.0)) (* (- 1.0) (* x z)))
10.0ms	(* x (+ (* z y) 1.0))

series107.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(+ (* x (+ (* z y) 1.0)) (* (- 1.0) (* x z)))
43.0ms	(* x (+ (* z y) 1.0))

simplify448.0ms

Counts

43 → 43

Iterations

Useful iterations: done (447.0ms)

Iter	Nodes	Cost
0	75	577
1	238	524
2	1049	458
done	5000	447

prune102.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* (cbrt (+ (* z y) 1.0)) (cbrt (+ (* z y) 1.0))))
4.9b	(cbrt (+ (* z y) 1.0))
4.9b	(cbrt (+ (* z y) 1.0))
4.9b	(cbrt (+ (* z y) 1.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `flip3-+` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

27.0ms	(* x (* (cbrt (+ (* z y) 1.0)) (cbrt (+ (* z y) 1.0))))
3.0ms	(cbrt (+ (* z y) 1.0))
3.0ms	(cbrt (+ (* z y) 1.0))
3.0ms	(cbrt (+ (* z y) 1.0))

series652.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* x (* (cbrt (+ (* z y) 1.0)) (cbrt (+ (* z y) 1.0))))
186.0ms	(cbrt (+ (* z y) 1.0))
188.0ms	(cbrt (+ (* z y) 1.0))
185.0ms	(cbrt (+ (* z y) 1.0))

simplify1.5s

Counts

78 → 78

Iterations

Useful iterations: 3 (367.0ms)

Iter	Nodes	Cost
0	133	1465
1	351	1407
2	1013	1292
3	4235	1155
done	5000	1155

prune245.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes114.0ms

Accuracy

93.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch75.0ms

Steps

Iters	Range		Point
9	50024088429.266525	2.0577632696311228e+20	56035482213991.22
8	-3.6741568838568717e+55	-3.3408016468336044e+51	-3.5627093803727213e+52

simplify5.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	21	44
1	35	34
2	38	34
3	45	34
done	45	34

end0.0ms

sample446.0ms

Algorithm

intervals

Results

235.0ms

10179×

body

valid