Details

sample120.0ms

Algorithm

intervals

Results

83.0ms

482×

body

valid

simplify5.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
8	4486
7	4046
6	3647
5	2153
4	769
3	227
2	76
1	32
0	18

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.1b	(* (+ a (* b c)) c)
9.2b	(* (* (+ a (* b c)) c) i)

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*l/`
11×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `flip3-+` `add-cube-cbrt` `flip-+`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `frac-sub` `cbrt-unprod` `insert-posit16`
2×	`sum-log` `diff-log` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

7.0ms	(+ (* x y) (* z t))
52.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
20.0ms	(* (+ a (* b c)) c)
37.0ms	(* (* (+ a (* b c)) c) i)

series964.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ (* x y) (* z t))
745.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
54.0ms	(* (+ a (* b c)) c)
98.0ms	(* (* (+ a (* b c)) c) i)

simplify1.7s

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
2	1806
1	450
0	152

prune658.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize47.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
5.8b	(* (+ a (* b c)) (* c i))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`flip3-+` `associate-*l/` `flip-+`
4×	`add-sqr-sqrt` `*-un-lft-identity` `frac-sub` `add-cube-cbrt`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
2×	`sum-log` `diff-log`
1×	`+-commutative` `sub-neg` `flip3--` `associate-r` `associate--l+` `*-commutative` `flip--`

Counts

3 → 52

Calls

3 calls:

7.0ms	(+ (* x y) (* z t))
59.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
21.0ms	(* (+ a (* b c)) (* c i))

series878.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ (* x y) (* z t))
742.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
87.0ms	(* (+ a (* b c)) (* c i))

simplify1.4s

Counts

61 → 61

Iterations

Iter	Nodes
done	5003
2	1796
1	405
0	129

prune419.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 4 expressions with local error:

5.8b	(* (+ a (* b c)) (* c i))
8.8b	(cbrt (* (+ a (* b c)) (* c i)))
8.8b	(cbrt (* (+ a (* b c)) (* c i)))
8.8b	(cbrt (* (+ a (* b c)) (* c i)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`associate-*l/`
6×	`cbrt-div`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`flip3-+` `flip-+` `insert-posit16` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 57

Calls

4 calls:

21.0ms	(* (+ a (* b c)) (* c i))
18.0ms	(cbrt (* (+ a (* b c)) (* c i)))
19.0ms	(cbrt (* (+ a (* b c)) (* c i)))
16.0ms	(cbrt (* (+ a (* b c)) (* c i)))

series603.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (+ a (* b c)) (* c i))
148.0ms	(cbrt (* (+ a (* b c)) (* c i)))
175.0ms	(cbrt (* (+ a (* b c)) (* c i)))
201.0ms	(cbrt (* (+ a (* b c)) (* c i)))

simplify2.8s

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
3	4085
2	1035
1	325
0	125

prune829.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.2b

localize74.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x y) (* z t)) (+ (* (* c c) (* i b)) (* (* c i) a)))
0.0b	(+ (* (* c c) (* i b)) (* (* c i) a))
4.6b	(* (* c i) a)
14.8b	(* (* c c) (* i b))

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
18×	`add-log-exp`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`sum-log` `flip3-+` `add-cube-cbrt` `flip-+`
4×	`diff-log` `associate-r` `frac-sub` `insert-posit16`
2×	`associate-l` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 78

Calls

4 calls:

137.0ms	(- (+ (* x y) (* z t)) (+ (* (* c c) (* i b)) (* (* c i) a)))
42.0ms	(+ (* (* c c) (* i b)) (* (* c i) a))
35.0ms	(* (* c i) a)
45.0ms	(* (* c c) (* i b))

series836.0ms

Counts

4 → 12

Calls

4 calls:

717.0ms	(- (+ (* x y) (* z t)) (+ (* (* c c) (* i b)) (* (* c i) a)))
52.0ms	(+ (* (* c c) (* i b)) (* (* c i) a))
34.0ms	(* (* c i) a)
33.0ms	(* (* c c) (* i b))

simplify2.2s

Counts

90 → 90

Iterations

Iter	Nodes
done	5002
2	2489
1	520
0	168

prune724.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes2.1s

Accuracy

42.1% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify17.0ms

Iterations

Iter	Nodes
done	79
5	79
4	75
3	63
2	58
1	54
0	35

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.6s

15084×

body

valid