Details

sample81.0ms

Algorithm

intervals

Results

29.0ms

468×

body

valid

simplify9.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (20.0ms)

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(+ (* x y) (* z t))
0.1b	(* (+ a (* b c)) c)
8.9b	(* (* (+ a (* b c)) c) i)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

6.0ms	(+ a (* b c))
9.0ms	(+ (* x y) (* z t))
38.0ms	(* (+ a (* b c)) c)
53.0ms	(* (* (+ a (* b c)) c) i)

series285.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ a (* b c))
47.0ms	(+ (* x y) (* z t))
89.0ms	(* (+ a (* b c)) c)
104.0ms	(* (* (+ a (* b c)) c) i)

simplify3.7s

Counts

86 → 86

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	123	862
1	335	822
2	1228	670
3	4358	650
done	5000	650

prune483.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.7b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* x y) (* z t)) (* (* c i) (fma b c a)))
0.0b	(+ (* x y) (* z t))
6.7b	(* (* c i) (fma b c a))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

63.0ms	(- (+ (* x y) (* z t)) (* (* c i) (fma b c a)))
8.0ms	(+ (* x y) (* z t))
21.0ms	(* (* c i) (fma b c a))

series884.0ms

Counts

3 → 9

Calls

3 calls:

784.0ms	(- (+ (* x y) (* z t)) (* (* c i) (fma b c a)))
46.0ms	(+ (* x y) (* z t))
55.0ms	(* (* c i) (fma b c a))

simplify1.2s

Counts

69 → 69

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	119	1071
1	333	970
2	1294	866
done	5000	846

prune711.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.7b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma z t (* x y))
0.0b	(- (fma z t (* x y)) (* (* c i) (fma b c a)))
6.7b	(* (* c i) (fma b c a))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `fma-udef`
5×	`add-log-exp`
3×	`expm1-log1p-u` `fma-neg` `associate-r` `prod-diff` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
1×	`sub-neg` `flip3--` `diff-log` `associate-l` `associate--l+` `*-commutative` `flip--`

Counts

3 → 55

Calls

3 calls:

0.0ms	(fma z t (* x y))
10.0ms	(- (fma z t (* x y)) (* (* c i) (fma b c a)))
22.0ms	(* (* c i) (fma b c a))

series939.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(fma z t (* x y))
806.0ms	(- (fma z t (* x y)) (* (* c i) (fma b c a)))
65.0ms	(* (* c i) (fma b c a))

simplify1.5s

Counts

64 → 64

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	105	950
1	242	900
2	892	796
done	5001	776

prune339.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.7b

localize22.0ms

Local error

Found 4 expressions with local error:

6.7b	(* (* c i) (fma b c a))
7.9b	(cbrt (* (* c i) (fma b c a)))
7.9b	(cbrt (* (* c i) (fma b c a)))
7.9b	(cbrt (* (* c i) (fma b c a)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 55

Calls

4 calls:

31.0ms	(* (* c i) (fma b c a))
19.0ms	(cbrt (* (* c i) (fma b c a)))
20.0ms	(cbrt (* (* c i) (fma b c a)))
25.0ms	(cbrt (* (* c i) (fma b c a)))

series908.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (* c i) (fma b c a))
290.0ms	(cbrt (* (* c i) (fma b c a)))
266.0ms	(cbrt (* (* c i) (fma b c a)))
277.0ms	(cbrt (* (* c i) (fma b c a)))

simplify2.6s

Counts

67 → 67

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	94	817
1	227	792
2	753	679
3	2873	664
done	5000	634

prune348.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.7b

regimes841.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	17
1	20	17
done	20	17

end0.0ms

sample1.9s

Algorithm

intervals

Results

794.0ms

15076×

body

valid