Details

sample55.0ms

Algorithm

intervals

Results

30.0ms

360×

body

valid

simplify144.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	195
5	195
4	184
3	133
2	65
1	26
0	13

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
4.8b	(* (* a z) b)

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

9.0ms	(+ x (* y z))
39.0ms	(+ (+ x (* y z)) (* t a))
157.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
26.0ms	(* (* a z) b)

series293.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ x (* y z))
71.0ms	(+ (+ x (* y z)) (* t a))
122.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
56.0ms	(* (* a z) b)

simplify1.6s

Counts

85 → 85

Iterations

Iter	Nodes
done	5009
2	1696
1	360
0	123

prune565.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.4b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
3.7b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
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)
118.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
26.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series830.0ms

Counts

4 → 12

Calls

4 calls:

316.0ms	(cbrt b)
281.0ms	(cbrt b)
66.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
166.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify4.2s

Counts

94 → 94

Iterations

Iter	Nodes
done	5010
3	4903
2	1032
1	277
0	102

prune504.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* a (fma z b t)))
2.2b	(* a (fma z b t))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`fma-def`
5×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`sum-log` `fma-udef`
3×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u`
2×	`distribute-rgt-in` `+-commutative` `associate-+r+` `distribute-lft-in` `flip3-+` `flip-+`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 58

Calls

3 calls:

5.0ms	(+ x (* y z))
42.0ms	(+ (+ x (* y z)) (* a (fma z b t)))
10.0ms	(* a (fma z b t))

series229.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ x (* y z))
140.0ms	(+ (+ x (* y z)) (* a (fma z b t)))
50.0ms	(* a (fma z b t))

simplify2.4s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
3	3812
2	863
1	258
0	96

prune461.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

2.4b	(fma z (fma a b y) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma z (fma a b y) x)

series122.0ms

Counts

1 → 3

Calls

1 calls:

121.0ms

(fma z (fma a b y) x)

simplify1.5s

Counts

13 → 13

Iterations

Iter	Nodes
done	5004
4	1725
3	313
2	77
1	37
0	22

prune124.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes634.0ms

Accuracy

12.8% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.9b

bsearch152.0ms

Steps

Iters	Range		Point
10	7.440598717487849e+128	1.9287824740730066e+141	7.580017239038192e+128
8	-1.351868441879636e+173	-1.617789579540189e+170	-2.5285291488055666e+172

simplify4.0ms

Iterations

Iter	Nodes
done	34
1	34
0	25

end0.0ms

sample1.5s

Algorithm

intervals

Results

984.0ms

11905×

body

valid