Details

sample81.0ms

Algorithm

intervals

Results

40.0ms

479×

body

valid

simplify5.4s

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize33.0ms

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)
7.2b	(* (* (+ a (* b c)) c) i)

rewrite120.0ms

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:

10.0ms	(+ (* x y) (* z t))
52.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
16.0ms	(* (+ a (* b c)) c)
39.0ms	(* (* (+ a (* b c)) c) i)

series951.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (* x y) (* z t))
756.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
72.0ms	(* (+ a (* b c)) c)
82.0ms	(* (* (+ a (* b c)) c) i)

simplify1.6s

Counts

81 → 81

Iterations

Iter	Nodes
done	5002
2	1692
1	444
0	148

prune878.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.0b

localize35.0ms

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)))
5.1b	(* (+ a (* b c)) (* c i))

rewrite114.0ms

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))
8.0ms	(+ a (* b c))
66.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
30.0ms	(* (+ a (* b c)) (* c i))

series873.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ (* x y) (* z t))
33.0ms	(+ a (* b c))
692.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
84.0ms	(* (+ a (* b c)) (* c i))

simplify1.4s

Counts

72 → 72

Iterations

Iter	Nodes
done	5003
2	1696
1	406
0	131

prune570.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.3b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt c)
7.2b	(* (* (* (+ a (* b c)) (* (cbrt c) (cbrt c))) (cbrt c)) i)

rewrite361.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

1.0ms	(cbrt c)
1.0ms	(cbrt c)
1.0ms	(cbrt c)
357.0ms	(* (* (* (+ a (* b c)) (* (cbrt c) (cbrt c))) (cbrt c)) i)

series747.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(cbrt c)
203.0ms	(cbrt c)
209.0ms	(cbrt c)
113.0ms	(* (* (* (+ a (* b c)) (* (cbrt c) (cbrt c))) (cbrt c)) i)

simplify2.1s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
2	1114
1	305
0	102

prune720.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.3b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt i)
1.5b	(* (* (* (* (cbrt i) c) (+ (* c b) a)) (cbrt i)) (cbrt i))
2.0b	(* (* (cbrt i) c) (+ (* c b) a))
2.4b	(* (* (* (cbrt i) c) (+ (* c b) a)) (cbrt i))

rewrite488.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

1.0ms	(cbrt i)
343.0ms	(* (* (* (* (cbrt i) c) (+ (* c b) a)) (cbrt i)) (cbrt i))
48.0ms	(* (* (cbrt i) c) (+ (* c b) a))
91.0ms	(* (* (* (cbrt i) c) (+ (* c b) a)) (cbrt i))

series1.0s

Counts

4 → 12

Calls

4 calls:

284.0ms	(cbrt i)
134.0ms	(* (* (* (* (cbrt i) c) (+ (* c b) a)) (cbrt i)) (cbrt i))
258.0ms	(* (* (cbrt i) c) (+ (* c b) a))
349.0ms	(* (* (* (cbrt i) c) (+ (* c b) a)) (cbrt i))

simplify1.7s

Counts

100 → 100

Iterations

Iter	Nodes
done	5002
2	2009
1	473
0	150

prune987.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.3b

regimes2.7s

Accuracy

0% (1.5b 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

sample3.1s

Algorithm

intervals

Results

1.5s

15391×

body

valid