Details

sample112.0ms

Algorithm

intervals

Results

63.0ms

442×

body

valid

simplify2.6s

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: 4.6b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.0b	(+ (* x y) (* z t))
0.1b	(* (+ a (* b c)) c)
6.0b	(* (* (+ a (* b c)) c) i)

rewrite146.0ms

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:

51.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
12.0ms	(+ (* x y) (* z t))
34.0ms	(* (+ a (* b c)) c)
46.0ms	(* (* (+ a (* b c)) c) i)

series1.1s

Counts

4 → 12

Calls

4 calls:

818.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
50.0ms	(+ (* x y) (* z t))
64.0ms	(* (+ a (* b c)) c)
121.0ms	(* (* (+ a (* b c)) c) i)

simplify1.9s

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
2	2380
1	444
0	148

prune852.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (* b c))
0.0b	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
0.0b	(+ (* x y) (* z t))
7.8b	(* (+ a (* b c)) (* c i))

rewrite134.0ms

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:

8.0ms	(+ a (* b c))
70.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
10.0ms	(+ (* x y) (* z t))
42.0ms	(* (+ a (* b c)) (* c i))

series1.0s

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ a (* b c))
819.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
54.0ms	(+ (* x y) (* z t))
84.0ms	(* (+ a (* b c)) (* c i))

simplify1.6s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
2	1987
1	406
0	131

prune870.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize103.0ms

Local error

Found 4 expressions with local error:

7.8b	(* (+ a (* b c)) (* c i))
11.0b	(cbrt (* (+ a (* b c)) (* c i)))
11.0b	(cbrt (* (+ a (* b c)) (* c i)))
11.0b	(cbrt (* (+ a (* b c)) (* c i)))

rewrite58.0ms

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))
11.0ms	(cbrt (* (+ a (* b c)) (* c i)))
12.0ms	(cbrt (* (+ a (* b c)) (* c i)))
11.0ms	(cbrt (* (+ a (* b c)) (* c i)))

series780.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (+ a (* b c)) (* c i))
207.0ms	(cbrt (* (+ a (* b c)) (* c i)))
256.0ms	(cbrt (* (+ a (* b c)) (* c i)))
197.0ms	(cbrt (* (+ a (* b c)) (* c i)))

simplify1.5s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	1398
1	324
0	123

prune949.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize101.0ms

Local error

Found 4 expressions with local error:

7.8b	(* (+ a (* b c)) (* c i))
11.0b	(cbrt (* (+ a (* b c)) (* c i)))
11.0b	(cbrt (* (+ a (* b c)) (* c i)))
11.0b	(cbrt (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i))))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

20.0ms	(* (+ a (* b c)) (* c i))
11.0ms	(cbrt (* (+ a (* b c)) (* c i)))
11.0ms	(cbrt (* (+ a (* b c)) (* c i)))
123.0ms	(cbrt (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i))))

series660.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* (+ a (* b c)) (* c i))
223.0ms	(cbrt (* (+ a (* b c)) (* c i)))
193.0ms	(cbrt (* (+ a (* b c)) (* c i)))
160.0ms	(cbrt (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (cbrt (+ a (* b c))) (* c i))))

simplify1.8s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1880
1	554
0	225

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes2.5s

Accuracy

0% (1.9b remaining)

Error of 2.3b against oracle of 0.4b and baseline of 2.3b

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	38
1	38
0	27

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.1s

14991×

body

valid