Details

sample103.0ms

Algorithm

intervals

Results

44.0ms

469×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y x) (* z t))
0.0b	(- (+ (* y x) (* z t)) (* i (* (+ a (* b c)) c)))
0.1b	(* (+ a (* b c)) c)
6.1b	(* i (* (+ a (* b c)) c))

rewrite111.0ms

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:

6.0ms	(+ (* y x) (* z t))
38.0ms	(- (+ (* y x) (* z t)) (* i (* (+ a (* b c)) c)))
14.0ms	(* (+ a (* b c)) c)
49.0ms	(* i (* (+ a (* b c)) c))

series1.2s

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (* y x) (* z t))
915.0ms	(- (+ (* y x) (* z t)) (* i (* (+ a (* b c)) c)))
78.0ms	(* (+ a (* b c)) c)
116.0ms	(* i (* (+ a (* b c)) c))

simplify1.2s

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
2	2157
1	442
0	147

prune688.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(- (* z t) (* (* i c) (+ a (* b c))))
0.0b	(+ (* y x) (- (* z t) (* (* i c) (+ a (* b c)))))
3.6b	(* (* i c) (+ a (* b c)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

9.0ms	(+ a (* b c))
11.0ms	(- (* z t) (* (* i c) (+ a (* b c))))
33.0ms	(+ (* y x) (- (* z t) (* (* i c) (+ a (* b c)))))
36.0ms	(* (* i c) (+ a (* b c)))

series1.2s

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ a (* b c))
201.0ms	(- (* z t) (* (* i c) (+ a (* b c))))
823.0ms	(+ (* y x) (- (* z t) (* (* i c) (+ a (* b c)))))
84.0ms	(* (* i c) (+ a (* b c)))

simplify1.6s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
2	2203
1	385
0	120

prune528.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

1.1b	(cbrt (+ a (* b c)))
1.1b	(cbrt (+ a (* b c)))
1.1b	(cbrt (+ a (* b c)))
2.5b	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* i c))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`pow1` `add-exp-log`
12×	`add-cbrt-cube`
10×	`associate-*l/`
9×	`cbrt-prod` `flip3-+` `flip-+`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`frac-times` `add-log-exp`
3×	`pow1/3`
2×	`associate-*r/`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 69

Calls

4 calls:

5.0ms	(cbrt (+ a (* b c)))
6.0ms	(cbrt (+ a (* b c)))
5.0ms	(cbrt (+ a (* b c)))
71.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* i c))

series968.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (+ a (* b c)))
170.0ms	(cbrt (+ a (* b c)))
179.0ms	(cbrt (+ a (* b c)))
472.0ms	(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* i c))

simplify837.0ms

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
2	1199
1	352
0	126

prune841.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (+ (* x y) (* z t)) (* (* i c) (+ a (* b c)))))
3.6b	(* (* i c) (+ a (* b c)))
3.6b	(* (* i c) (+ a (* b c)))
3.6b	(* (* i c) (+ a (* b c)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

28.0ms	(cbrt (- (+ (* x y) (* z t)) (* (* i c) (+ a (* b c)))))
36.0ms	(* (* i c) (+ a (* b c)))
21.0ms	(* (* i c) (+ a (* b c)))
34.0ms	(* (* i c) (+ a (* b c)))

series516.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(cbrt (- (+ (* x y) (* z t)) (* (* i c) (+ a (* b c)))))
99.0ms	(* (* i c) (+ a (* b c)))
74.0ms	(* (* i c) (+ a (* b c)))
83.0ms	(* (* i c) (+ a (* b c)))

simplify1.5s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	2729
1	489
0	155

prune926.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.2b

regimes1.7s

Accuracy

0% (1.7b remaining)

Error of 1.9b against oracle of 0.2b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	26
1	26
0	18

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.6s

15280×

body

valid