Details

sample51.0ms

Algorithm

intervals

Results

18.0ms

463×

body

valid

simplify6.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	18	19
1	33	18
2	87	17
3	254	17
4	836	17
5	1983	17
6	3876	17
7	4749	17
done	5000	17

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.1b	(* (+ a (* b c)) c)
9.1b	(* (* (+ a (* b c)) c) i)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*l/`
12×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
7×	`flip3-+` `flip-+`
6×	`associate-r`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `frac-sub` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-def` `fma-neg` `prod-diff`
2×	`diff-log` `sum-log` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

6.0ms	(+ a (* b c))
53.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
18.0ms	(* (+ a (* b c)) c)
28.0ms	(* (* (+ a (* b c)) c) i)

series788.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ a (* b c))
637.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
54.0ms	(* (+ a (* b c)) c)
68.0ms	(* (* (+ a (* b c)) c) i)

simplify1.0s

Counts

98 → 98

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	164	1636
1	476	1515
2	1945	1282
done	5000	1252

prune370.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
4.1b	(* (+ a (* b c)) (* c i))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`flip3-+` `flip-+`
6×	`associate-*l/`
4×	`expm1-log1p-u` `fma-def` `frac-sub` `log1p-expm1-u`
3×	`fma-neg` `associate-l` `prod-diff` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod`
2×	`+-commutative` `diff-log`
1×	`sub-neg` `flip3--` `associate-r` `associate--l+` `*-commutative` `flip--`

Counts

4 → 78

Calls

4 calls:

8.0ms	(+ (* x y) (* z t))
6.0ms	(+ a (* b c))
51.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
28.0ms	(* (+ a (* b c)) (* c i))

series776.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (* x y) (* z t))
29.0ms	(+ a (* b c))
634.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
67.0ms	(* (+ a (* b c)) (* c i))

simplify915.0ms

Counts

90 → 90

Iterations

Useful iterations: done (912.0ms)

Iter	Nodes	Cost
0	146	1568
1	457	1420
2	1939	1230
done	5000	1213

prune356.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.7b

localize22.0ms

Local error

Found 4 expressions with local error:

1.3b	(cbrt (fma b c a))
1.3b	(cbrt (fma b c a))
1.3b	(cbrt (fma b c a))
4.1b	(* (* (* (cbrt (fma b c a)) (cbrt (fma b c a))) (cbrt (fma b c a))) (* c i))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log`
17×	`add-cbrt-cube`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt (fma b c a))
1.0ms	(cbrt (fma b c a))
1.0ms	(cbrt (fma b c a))
96.0ms	(* (* (* (cbrt (fma b c a)) (cbrt (fma b c a))) (cbrt (fma b c a))) (* c i))

series437.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt (fma b c a))
121.0ms	(cbrt (fma b c a))
122.0ms	(cbrt (fma b c a))
72.0ms	(* (* (* (cbrt (fma b c a)) (cbrt (fma b c a))) (cbrt (fma b c a))) (* c i))

simplify2.3s

Counts

81 → 81

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	101	1328
1	248	1279
2	928	800
3	3359	679
done	5000	661

prune549.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.7b

localize22.0ms

Local error

Found 4 expressions with local error:

1.1b	(cbrt (+ (* x y) (* z t)))
1.1b	(cbrt (+ (* x y) (* z t)))
1.1b	(cbrt (+ (* x y) (* z t)))
3.7b	(* (* (fma b c a) i) (- c))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
6×	`cbrt-div`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
1×	`neg-mul-1` `associate-l` `*-commutative` `distribute-rgt-neg-out`

Counts

4 → 73

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))
5.0ms	(cbrt (+ (* x y) (* z t)))
20.0ms	(* (* (fma b c a) i) (- c))

series431.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (+ (* x y) (* z t)))
117.0ms	(cbrt (+ (* x y) (* z t)))
119.0ms	(cbrt (+ (* x y) (* z t)))
76.0ms	(* (* (fma b c a) i) (- c))

simplify2.6s

Counts

85 → 85

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	132	1183
1	361	1075
2	1245	976
3	4953	950
done	5000	950

prune413.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.7b

regimes974.0ms

Accuracy

0% (0.9b remaining)

Error of 1.8b against oracle of 0.9b and baseline of 1.8b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	19
1	26	19
done	26	19

end0.0ms

sample1.6s

Algorithm

intervals

Results

664.0ms

15310×

body

valid