Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

327×

body

valid

simplify8.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (22.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	34	9
3	85	9
4	198	8
5	330	8
6	499	8
7	609	8
8	841	8
9	1118	8
10	1807	8
11	2528	8
12	2809	8
13	3168	8
done	5000	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`add-cube-cbrt` `associate-l`
6×	`pow1` `add-exp-log` `associate-r` `prod-diff` `add-cbrt-cube`
5×	`distribute-rgt-in` `distribute-lft-in`
2×	`expm1-log1p-u` `sub-neg` `flip3--` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 56

Calls

2 calls:

11.0ms	(* (- 1.0 y) z)
13.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* (- 1.0 y) z)
47.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify1.7s

Counts

62 → 62

Iterations

Useful iterations: 3 (536.0ms)

Iter	Nodes	Cost
0	114	726
1	245	706
2	834	616
3	3325	565
done	5000	565

prune137.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

99×	`distribute-rgt-in` `distribute-lft-in`
90×	`prod-diff`
70×	`add-sqr-sqrt`
68×	`*-un-lft-identity`
66×	`add-cube-cbrt`
44×	`associate-+r+`
10×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube`
6×	`associate-r/` `associate-r` `associate-l*`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 170

Calls

3 calls:

11.0ms	(+ (* 1.0 x) (* z (* x (- y 1.0))))
12.0ms	(* x (- y 1.0))
20.0ms	(* z (* x (- y 1.0)))

series141.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (* 1.0 x) (* z (* x (- y 1.0))))
29.0ms	(* x (- y 1.0))
49.0ms	(* z (* x (- y 1.0)))

simplify970.0ms

Counts

179 → 179

Iterations

Useful iterations: 2 (476.0ms)

Iter	Nodes	Cost
0	254	3247
1	545	2547
2	1611	1967
done	5000	1967

prune270.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 x) (* (* z x) (- y 1.0)))
2.0b	(* (* z x) (- y 1.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
29×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`sub-neg` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
1×	`+-commutative` `flip3--` `fma-def` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 82

Calls

2 calls:

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

series111.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(+ (* 1.0 x) (* (* z x) (- y 1.0)))
45.0ms	(* (* z x) (- y 1.0))

simplify766.0ms

Counts

88 → 88

Iterations

Useful iterations: 2 (264.0ms)

Iter	Nodes	Cost
0	160	1547
1	420	1254
2	1503	992
done	5000	992

prune169.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- y 1.0))
0.2b	(cbrt (- y 1.0))
0.3b	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
3.2b	(* z (* (* x (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0))))

rewrite285.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
60×	`associate-*r/`
38×	`cbrt-prod`
35×	`add-sqr-sqrt` `flip3--` `flip--`
33×	`*-un-lft-identity`
32×	`frac-times`
25×	`pow1`
20×	`add-exp-log`
16×	`associate-*l/`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`pow-prod-down`
11×	`associate-l` `prod-exp` `cbrt-unprod`
10×	`swap-sqr`
9×	`associate-r`
8×	`pow1/3` `distribute-lft-out--`
6×	`difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 144

Calls

4 calls:

2.0ms	(cbrt (- y 1.0))
2.0ms	(cbrt (- y 1.0))
23.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
250.0ms	(* z (* (* x (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0))))

series390.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (- y 1.0))
97.0ms	(cbrt (- y 1.0))
121.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
72.0ms	(* z (* (* x (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0))))

simplify828.0ms

Counts

156 → 156

Iterations

Useful iterations: 2 (256.0ms)

Iter	Nodes	Cost
0	286	2712
1	723	2560
2	2434	2194
done	5001	2194

prune444.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes89.0ms

Accuracy

92.7% (0.1b remaining)

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

bsearch80.0ms

Steps

Iters	Range		Point
9	0.08347146558812443	7686.007879781806	0.2659851775473928
8	-3.6741568838568717e+55	-3.3408016468336044e+51	-3.5627093803727213e+52

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	20	43
1	33	31
done	33	31

end0.0ms

sample448.0ms

Algorithm

intervals

Results

245.0ms

10179×

body

valid