Details

sample60.0ms

Algorithm

intervals

Results

28.0ms

506×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2821
4	817
3	232
2	77
1	32
0	18

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(- (+ (* y x) (* z t)) (* i (* (+ a (* b c)) c)))
0.1b	(* (+ a (* b c)) c)
6.6b	(* i (* (+ a (* b c)) c))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

8.0ms	(+ a (* b c))
44.0ms	(- (+ (* y x) (* z t)) (* i (* (+ a (* b c)) c)))
25.0ms	(* (+ a (* b c)) c)
21.0ms	(* i (* (+ a (* b c)) c))

series1.1s

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ a (* b c))
962.0ms	(- (+ (* y x) (* z t)) (* i (* (+ a (* b c)) c)))
57.0ms	(* (+ a (* b c)) c)
88.0ms	(* i (* (+ a (* b c)) c))

simplify1.1s

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
2	2113
1	437
0	145

prune882.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.5b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y x) (* z t))
0.0b	(+ a (* b c))
0.0b	(- (+ (* y x) (* z t)) (* 1 (* (* i c) (+ a (* b c)))))
6.7b	(* (* i c) (+ a (* b c)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
10×	`associate-*r/`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`flip3-+` `flip-+`
6×	`*-un-lft-identity`
5×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in` `add-cube-cbrt`
4×	`frac-sub` `associate--r+`
3×	`sum-log` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `diff-log`
1×	`sub-neg` `flip3--` `associate-l` `associate--l+` `*-commutative` `flip--` `distribute-lft-out--`

Counts

4 → 67

Calls

4 calls:

6.0ms	(+ (* y x) (* z t))
8.0ms	(+ a (* b c))
55.0ms	(- (+ (* y x) (* z t)) (* 1 (* (* i c) (+ a (* b c)))))
40.0ms	(* (* i c) (+ a (* b c)))

series1.4s

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (* y x) (* z t))
28.0ms	(+ a (* b c))
1.2s	(- (+ (* y x) (* z t)) (* 1 (* (* i c) (+ a (* b c)))))
98.0ms	(* (* i c) (+ a (* b c)))

simplify2.2s

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
2	3564
1	516
0	150

prune702.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

6.7b	(* (* i c) (+ a (* b c)))
11.1b	(cbrt (* (* i c) (+ a (* b c))))
11.1b	(cbrt (* (* i c) (+ a (* b c))))
11.1b	(cbrt (* (* i c) (+ a (* b c))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

21.0ms	(* (* i c) (+ a (* b c)))
23.0ms	(cbrt (* (* i c) (+ a (* b c))))
17.0ms	(cbrt (* (* i c) (+ a (* b c))))
11.0ms	(cbrt (* (* i c) (+ a (* b c))))

series537.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (* i c) (+ a (* b c)))
146.0ms	(cbrt (* (* i c) (+ a (* b c))))
133.0ms	(cbrt (* (* i c) (+ a (* b c))))
175.0ms	(cbrt (* (* i c) (+ a (* b c))))

simplify808.0ms

Counts

67 → 67

Iterations

Iter	Nodes
done	5002
2	1753
1	312
0	105

prune819.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* y x) (* z t)) (* 1 (+ (* (* a i) c) (* b (* c (* c i))))))
0.2b	(* c (* c i))
6.7b	(* (* a i) c)
7.4b	(* b (* c (* c i)))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
8×	`*-un-lft-identity`
7×	`add-sqr-sqrt` `associate-l` `add-cube-cbrt`
5×	`associate-r`
4×	`flip3-+` `associate-*r/` `frac-sub` `flip-+`
3×	`*-commutative`
2×	`diff-log` `associate--r+`
1×	`distribute-rgt-in` `sum-log` `sub-neg` `distribute-lft-in` `flip3--` `associate--l+` `flip--` `distribute-lft-out--`

Counts

4 → 78

Calls

4 calls:

46.0ms	(- (+ (* y x) (* z t)) (* 1 (+ (* (* a i) c) (* b (* c (* c i))))))
24.0ms	(* c (* c i))
25.0ms	(* (* a i) c)
70.0ms	(* b (* c (* c i)))

series802.0ms

Counts

4 → 12

Calls

4 calls:

708.0ms	(- (+ (* y x) (* z t)) (* 1 (+ (* (* a i) c) (* b (* c (* c i))))))
21.0ms	(* c (* c i))
28.0ms	(* (* a i) c)
45.0ms	(* b (* c (* c i)))

simplify1.9s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
2	3785
1	550
0	169

prune718.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes1.1s

Accuracy

27.4% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.4b

bsearch173.0ms

Steps

Iters	Range		Point
5	4.433129371710323e-168	1.4224717713323527e-167	7.568213044503462e-168
9	-7.5540982925038335e-59	-3.412733796902356e-65	-2.92684042629339e-61

simplify16.0ms

Iterations

Iter	Nodes
done	67
3	67
2	65
1	62
0	42

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.7s

15401×

body

valid