Details

sample117.0ms

Algorithm

intervals

Results

64.0ms

492×

body

valid

simplify5.8s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize50.0ms

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)
5.3b	(* (* (+ a (* b c)) c) i)

rewrite86.0ms

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:

38.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
6.0ms	(+ (* x y) (* z t))
13.0ms	(* (+ a (* b c)) c)
27.0ms	(* (* (+ a (* b c)) c) i)

series1.1s

Counts

4 → 12

Calls

4 calls:

892.0ms	(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
67.0ms	(+ (* x y) (* z t))
89.0ms	(* (+ a (* b c)) c)
70.0ms	(* (* (+ a (* b c)) c) i)

simplify1.8s

Counts

81 → 81

Iterations

Iter	Nodes
done	5008
2	1701
1	444
0	148

prune807.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

44.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
6.0ms	(+ (* x y) (* z t))
33.0ms	(* (+ a (* b c)) (* c i))

series1.0s

Counts

3 → 9

Calls

3 calls:

867.0ms	(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
66.0ms	(+ (* x y) (* z t))
112.0ms	(* (+ a (* b c)) (* c i))

simplify1.7s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
2	1782
1	402
0	126

prune487.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt i)
0.6b	(cbrt i)
1.2b	(* (* (* (+ a (* b c)) c) (* (cbrt i) (cbrt i))) (cbrt i))
4.3b	(* (* (+ a (* b c)) c) (* (cbrt i) (cbrt i)))

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

2.0ms	(cbrt i)
1.0ms	(cbrt i)
216.0ms	(* (* (* (+ a (* b c)) c) (* (cbrt i) (cbrt i))) (cbrt i))
44.0ms	(* (* (+ a (* b c)) c) (* (cbrt i) (cbrt i)))

series1.0s

Counts

4 → 12

Calls

4 calls:

271.0ms	(cbrt i)
256.0ms	(cbrt i)
158.0ms	(* (* (* (+ a (* b c)) c) (* (cbrt i) (cbrt i))) (cbrt i))
360.0ms	(* (* (+ a (* b c)) c) (* (cbrt i) (cbrt i)))

simplify1.8s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1494
1	372
0	122

prune746.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt i)
0.6b	(cbrt i)
0.6b	(cbrt i)
5.0b	(* (* (+ (* c b) a) c) (* (* (cbrt i) (cbrt (cbrt i))) (* (cbrt i) (cbrt (cbrt i)))))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

1.0ms	(cbrt i)
1.0ms	(cbrt i)
1.0ms	(cbrt i)
145.0ms	(* (* (+ (* c b) a) c) (* (* (cbrt i) (cbrt (cbrt i))) (* (cbrt i) (cbrt (cbrt i)))))

series1.5s

Counts

4 → 12

Calls

4 calls:

319.0ms	(cbrt i)
302.0ms	(cbrt i)
275.0ms	(cbrt i)
554.0ms	(* (* (+ (* c b) a) c) (* (* (cbrt i) (cbrt (cbrt i))) (* (cbrt i) (cbrt (cbrt i)))))

simplify2.1s

Counts

87 → 87

Iterations

Iter	Nodes
done	5010
2	1476
1	345
0	119

prune780.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes2.2s

Accuracy

27.7% (0.6b remaining)

Error of 1.7b against oracle of 1.1b and baseline of 2.0b

bsearch1.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	42
1	42
0	28

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.0s

15237×

body

valid