Details

sample141.0ms

Algorithm

intervals

Results

67.0ms

512×

body

valid

simplify5.9s

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize36.0ms

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)
8.5b	(* (* (+ a (* b c)) c) i)

rewrite109.0ms

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`
2×	`sum-log` `diff-log` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

6.0ms	(+ (* x y) (* z t))
37.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
26.0ms	(* (+ a (* b c)) c)
38.0ms	(* (* (+ a (* b c)) c) i)

series1.1s

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ (* x y) (* z t))
862.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
71.0ms	(* (+ a (* b c)) c)
99.0ms	(* (* (+ a (* b c)) c) i)

simplify1.8s

Counts

81 → 81

Iterations

Iter	Nodes
done	5002
2	1692
1	444
0	148

prune862.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.8b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(+ (* x y) (* z t))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
4.3b	(* (+ a (* b c)) (* c i))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

4.0ms	(+ a (* b c))
6.0ms	(+ (* x y) (* z t))
46.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
33.0ms	(* (+ a (* b c)) (* c i))

series1.0s

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ a (* b c))
48.0ms	(+ (* x y) (* z t))
832.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
94.0ms	(* (+ a (* b c)) (* c i))

simplify1.6s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
2	1696
1	406
0	131

prune791.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.3b

localize92.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
4.3b	(* (+ a (* b c)) (* c i))
4.3b	(* (+ a (* b c)) (* c i))
4.3b	(* (+ a (* b c)) (* c i))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`associate-*l/`
9×	`associate-l` `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` `associate-r` `*-commutative`
1×	`flip3--` `pow1/3` `flip--`

Counts

4 → 77

Calls

4 calls:

21.0ms	(cbrt (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
23.0ms	(* (+ a (* b c)) (* c i))
21.0ms	(* (+ a (* b c)) (* c i))
21.0ms	(* (+ a (* b c)) (* c i))

series533.0ms

Counts

4 → 12

Calls

4 calls:

278.0ms	(cbrt (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
70.0ms	(* (+ a (* b c)) (* c i))
94.0ms	(* (+ a (* b c)) (* c i))
91.0ms	(* (+ a (* b c)) (* c i))

simplify1.7s

Counts

89 → 89

Iterations

Iter	Nodes
done	5006
2	1931
1	512
0	171

prune1.4s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.3b

localize83.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
4.3b	(* (+ a (* b c)) (* c i))
4.3b	(* (+ a (* b c)) (* c i))
4.3b	(* (+ a (* b c)) (* c i))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`associate-*l/`
9×	`associate-l` `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` `associate-r` `*-commutative`
1×	`flip3--` `pow1/3` `flip--`

Counts

4 → 77

Calls

4 calls:

30.0ms	(cbrt (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
24.0ms	(* (+ a (* b c)) (* c i))
27.0ms	(* (+ a (* b c)) (* c i))
38.0ms	(* (+ a (* b c)) (* c i))

series621.0ms

Counts

4 → 12

Calls

4 calls:

327.0ms	(cbrt (- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i))))
98.0ms	(* (+ a (* b c)) (* c i))
98.0ms	(* (+ a (* b c)) (* c i))
98.0ms	(* (+ a (* b c)) (* c i))

simplify1.8s

Counts

89 → 89

Iterations

Iter	Nodes
done	5006
2	1931
1	512
0	171

prune910.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.3b

regimes3.0s

Accuracy

0% (1.6b remaining)

Error of 1.8b against oracle of 0.2b and baseline of 1.8b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	26
1	26
0	18

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.3s

15211×

body

valid