Details

sample42.0ms

Algorithm

intervals

Results

16.0ms

325×

body

valid

simplify13.6s

Counts

1 → 1

Iterations

Useful iterations: 4 (59.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	34	9
3	92	9
4	190	8
5	409	8
6	586	8
7	695	8
8	901	8
9	1051	8
10	1256	8
11	1500	8
12	2071	8
13	2349	8
14	2564	8
15	2572	8
done	2572	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* (- 1.0 y) z))
0.0b	(* (- 1.0 y) z)
3.6b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`prod-diff`
8×	`associate-l`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-r`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
3×	`expm1-log1p-u` `sub-neg` `flip3--` `fma-neg` `flip--` `log1p-expm1-u`
2×	`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 → 76

Calls

3 calls:

7.0ms	(- 1.0 (* (- 1.0 y) z))
31.0ms	(* (- 1.0 y) z)
27.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series141.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- 1.0 (* (- 1.0 y) z))
40.0ms	(* (- 1.0 y) z)
65.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify3.4s

Counts

85 → 85

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	125	1011
1	272	980
2	792	857
3	3032	774
done	5000	711

prune234.0ms

Pruning

5 alts after pruning (4 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)))
3.7b	(* (* x z) (- y 1.0))

rewrite84.0ms

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:

24.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
53.0ms	(* (* x z) (- y 1.0))

series135.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
64.0ms	(* (* x z) (- y 1.0))

simplify2.3s

Counts

88 → 88

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	160	1547
1	426	1254
2	1323	1004
done	5001	919

prune186.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- y 1.0))
0.2b	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
1.1b	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
2.7b	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite413.0ms

Algorithm

rewrite-expression-head

Rules

80×	`cbrt-div`
44×	`associate-*r/`
41×	`pow1`
40×	`flip3--` `flip--`
38×	`cbrt-prod`
36×	`add-exp-log` `frac-times`
35×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
23×	`pow-prod-down`
22×	`prod-exp` `cbrt-unprod`
21×	`add-cbrt-cube`
18×	`associate-*l/`
17×	`associate-r`
15×	`add-cube-cbrt`
10×	`swap-sqr` `associate-l`
8×	`distribute-lft-out--`
7×	`pow1/3`
6×	`difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 167

Calls

4 calls:

5.0ms	(cbrt (- y 1.0))
64.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
265.0ms	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
71.0ms	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series606.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(cbrt (- y 1.0))
170.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
92.0ms	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
206.0ms	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify1.9s

Counts

179 → 179

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	295	3638
1	786	3400
2	2786	2933
done	5000	2738

prune654.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (- y 1.0))
0.0b	(+ (* x 1.0) (pow (* z (* x (- y 1.0))) 1))
3.9b	(* z (* x (- y 1.0)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
46×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
42×	`add-cube-cbrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`sub-neg` `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 → 126

Calls

3 calls:

41.0ms	(* x (- y 1.0))
26.0ms	(+ (* x 1.0) (pow (* z (* x (- y 1.0))) 1))
59.0ms	(* z (* x (- y 1.0)))

series186.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* x (- y 1.0))
72.0ms	(+ (* x 1.0) (pow (* z (* x (- y 1.0))) 1))
76.0ms	(* z (* x (- y 1.0)))

simplify1.1s

Counts

135 → 135

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	218	2507
1	476	1926
2	1256	1566
done	5000	1476

prune226.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes353.0ms

Accuracy

88.8% (0.2b remaining)

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

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: done (6.0ms)

Iter	Nodes	Cost
0	24	49
1	35	49
done	35	47

end0.0ms

sample943.0ms

Algorithm

intervals

Results

416.0ms

10167×

body

valid