Details

sample88.0ms

Algorithm

intervals

Results

34.0ms

520×

body

valid

simplify2.0s

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: 5.8b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* y x) (* z t)) (* i (* (+ a (* b c)) c)))
0.0b	(+ (* y x) (* z t))
0.1b	(* (+ a (* b c)) c)
8.1b	(* i (* (+ a (* b c)) c))

rewrite99.0ms

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:

59.0ms	(- (+ (* y x) (* z t)) (* i (* (+ a (* b c)) c)))
6.0ms	(+ (* y x) (* z t))
13.0ms	(* (+ a (* b c)) c)
19.0ms	(* i (* (+ a (* b c)) c))

series1.1s

Counts

4 → 12

Calls

4 calls:

875.0ms	(- (+ (* y x) (* z t)) (* i (* (+ a (* b c)) c)))
43.0ms	(+ (* y x) (* z t))
75.0ms	(* (+ a (* b c)) c)
90.0ms	(* i (* (+ a (* b c)) c))

simplify885.0ms

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
2	2151
1	442
0	147

prune664.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(- (+ (* y x) (* z t)) (pow (* (+ a (* b c)) (* c i)) 1))
0.0b	(+ (* y x) (* z t))
4.9b	(* (+ a (* b c)) (* c i))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

5.0ms	(+ a (* b c))
36.0ms	(- (+ (* y x) (* z t)) (pow (* (+ a (* b c)) (* c i)) 1))
6.0ms	(+ (* y x) (* z t))
25.0ms	(* (+ a (* b c)) (* c i))

series883.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ a (* b c))
714.0ms	(- (+ (* y x) (* z t)) (pow (* (+ a (* b c)) (* c i)) 1))
40.0ms	(+ (* y x) (* z t))
84.0ms	(* (+ a (* b c)) (* c i))

simplify866.0ms

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1881
1	365
0	127

prune608.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

1.2b	(cbrt (+ (* c b) a))
1.2b	(cbrt (+ (* c b) a))
1.2b	(cbrt (+ (* c b) a))
4.9b	(* (* (* (cbrt (+ (* c b) a)) (cbrt (+ (* c b) a))) (cbrt (+ (* c b) a))) (* c i))

rewrite325.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
40×	`associate-*l/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
25×	`pow1` `add-exp-log`
17×	`add-cbrt-cube`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 93

Calls

4 calls:

6.0ms	(cbrt (+ (* c b) a))
8.0ms	(cbrt (+ (* c b) a))
10.0ms	(cbrt (+ (* c b) a))
296.0ms	(* (* (* (cbrt (+ (* c b) a)) (cbrt (+ (* c b) a))) (cbrt (+ (* c b) a))) (* c i))

series540.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt (+ (* c b) a))
157.0ms	(cbrt (+ (* c b) a))
146.0ms	(cbrt (+ (* c b) a))
70.0ms	(* (* (* (cbrt (+ (* c b) a)) (cbrt (+ (* c b) a))) (cbrt (+ (* c b) a))) (* c i))

simplify1.0s

Counts

105 → 105

Iterations

Iter	Nodes
done	5002
2	2483
1	518
0	173

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize92.0ms

Local error

Found 4 expressions with local error:

4.9b	(* (* c i) (+ (* c b) a))
10.2b	(cbrt (* (* c i) (+ (* c b) a)))
10.2b	(cbrt (* (* c i) (+ (* c b) a)))
10.2b	(cbrt (* (* c i) (+ (* c b) a)))

rewrite98.0ms

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:

38.0ms	(* (* c i) (+ (* c b) a))
14.0ms	(cbrt (* (* c i) (+ (* c b) a)))
20.0ms	(cbrt (* (* c i) (+ (* c b) a)))
22.0ms	(cbrt (* (* c i) (+ (* c b) a)))

series700.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (* c i) (+ (* c b) a))
190.0ms	(cbrt (* (* c i) (+ (* c b) a)))
232.0ms	(cbrt (* (* c i) (+ (* c b) a)))
224.0ms	(cbrt (* (* c i) (+ (* c b) a)))

simplify1.4s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	1790
1	315
0	107

prune835.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes1.6s

Accuracy

0% (1.5b remaining)

Error of 1.8b against oracle of 0.4b and baseline of 1.8b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	30
1	30
0	20

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.8s

15151×

body

valid