Details

sample103.0ms

Algorithm

intervals

Results

45.0ms

506×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

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:

9.0ms	(+ a (* b c))
55.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
18.0ms	(* (+ a (* b c)) c)
32.0ms	(* (* (+ a (* b c)) c) i)

series985.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ a (* b c))
778.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
57.0ms	(* (+ a (* b c)) c)
110.0ms	(* (* (+ a (* b c)) c) i)

simplify1.9s

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
2	2349
1	439
0	147

prune756.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

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:

7.0ms	(+ (* x y) (* z t))
5.0ms	(+ a (* b c))
53.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
37.0ms	(* (+ a (* b c)) (* c i))

series953.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ (* x y) (* z t))
51.0ms	(+ a (* b c))
743.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
98.0ms	(* (+ a (* b c)) (* c i))

simplify1.3s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	1991
1	406
0	131

prune617.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.5b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

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-+` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 53

Calls

4 calls:

24.0ms	(* (+ a (* b c)) (* c i))
12.0ms	(cbrt (* (+ a (* b c)) (* c i)))
12.0ms	(cbrt (* (+ a (* b c)) (* c i)))
12.0ms	(cbrt (* (+ a (* b c)) (* c i)))

series626.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (+ a (* b c)) (* c i))
191.0ms	(cbrt (* (+ a (* b c)) (* c i)))
196.0ms	(cbrt (* (+ a (* b c)) (* c i)))
153.0ms	(cbrt (* (+ a (* b c)) (* c i)))

simplify1.4s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	1398
1	324
0	123

prune725.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.5b

localize84.0ms

Local error

Found 4 expressions with local error:

6.7b	(* (+ a (* b c)) (* c i))
11.1b	(cbrt (* (+ a (* b c)) (* c i)))
11.1b	(cbrt (* (+ a (* b c)) (* c i)))
13.2b	(cbrt (* c i))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

32.0ms	(* (+ a (* b c)) (* c i))
21.0ms	(cbrt (* (+ a (* b c)) (* c i)))
17.0ms	(cbrt (* (+ a (* b c)) (* c i)))
4.0ms	(cbrt (* c i))

series573.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (+ a (* b c)) (* c i))
181.0ms	(cbrt (* (+ a (* b c)) (* c i)))
202.0ms	(cbrt (* (+ a (* b c)) (* c i)))
98.0ms	(cbrt (* c i))

simplify1.4s

Counts

63 → 63

Iterations

Iter	Nodes
done	5001
2	1481
1	361
0	139

prune652.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.5b

regimes2.6s

Accuracy

-31.8% (2.3b remaining)

Error of 2.6b against oracle of 0.3b and baseline of 2.1b

bsearch2.0ms

simplify17.0ms

Iterations

Iter	Nodes
done	54
2	54
1	53
0	37

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.7s

15401×

body

valid