Details

sample31.0ms

Algorithm

intervals

Results

13.0ms

383×

body

valid

simplify131.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (44.0ms)

Iter	Nodes	Cost
0	13	15
1	26	15
2	65	12
3	126	11
4	162	10
5	171	10
6	174	10
done	174	10

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
7.5b	(* (* a z) b)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-log-exp`
9×	`sum-log`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def` `*-un-lft-identity`
3×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
1×	`associate-l` `*-commutative`

Counts

3 → 57

Calls

3 calls:

10.0ms	(+ (+ x (* y z)) (* t a))
46.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
7.0ms	(* (* a z) b)

series172.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(+ (+ x (* y z)) (* t a))
90.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
28.0ms	(* (* a z) b)

simplify857.0ms

Counts

66 → 66

Iterations

Useful iterations: done (855.0ms)

Iter	Nodes	Cost
0	105	798
1	295	701
2	1275	595
done	5001	593

prune226.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
4.4b	(* a (* z b))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-log-exp`
9×	`sum-log`
8×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
3×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
1×	`associate-r` `*-commutative` `distribute-lft-out`

Counts

3 → 58

Calls

3 calls:

11.0ms	(+ (+ x (* y z)) (* t a))
49.0ms	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
6.0ms	(* a (* z b))

series176.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+ (+ x (* y z)) (* t a))
93.0ms	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
28.0ms	(* a (* z b))

simplify704.0ms

Counts

67 → 67

Iterations

Useful iterations: done (702.0ms)

Iter	Nodes	Cost
0	105	858
1	292	710
2	1177	604
done	5000	598

prune245.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
2.1b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
5.5b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 82

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
56.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
15.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series595.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(cbrt b)
206.0ms	(cbrt b)
58.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
122.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify936.0ms

Counts

94 → 94

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	101	1001
1	266	964
2	1085	646
done	5000	646

prune335.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
1.9b	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (* z b)))
2.8b	(* (cbrt a) (* z b))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-r` `*-commutative`

Counts

4 → 79

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
32.0ms	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (* z b)))
7.0ms	(* (cbrt a) (* z b))

series585.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(cbrt a)
212.0ms	(cbrt a)
50.0ms	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (* z b)))
119.0ms	(* (cbrt a) (* z b))

simplify3.0s

Counts

91 → 91

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	92	852
1	236	823
2	825	581
3	4667	477
done	5000	477

prune311.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes302.0ms

Accuracy

74.2% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.0b

bsearch2.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	24	85
1	39	67
done	39	67

end0.0ms

sample835.0ms

Algorithm

intervals

Results

434.0ms

11895×

body

valid