Details

sample44.0ms

Algorithm

intervals

Results

19.0ms

386×

body

valid

simplify250.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (87.0ms)

Iter	Nodes	Cost
0	13	15
1	26	15
2	67	12
3	138	11
4	201	10
5	244	10
6	247	10
done	247	10

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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))
4.6b	(* (* a z) b)

rewrite229.0ms

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:

26.0ms	(+ (+ x (* y z)) (* t a))
161.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
40.0ms	(* (* a z) b)

series265.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(+ (+ x (* y z)) (* t a))
148.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
32.0ms	(* (* a z) b)

simplify1.6s

Counts

66 → 66

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	105	798
1	303	701
2	1905	595
done	5000	560

prune259.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt b)
0.5b	(cbrt b)
1.2b	(* (* (* (cbrt b) (cbrt b)) (* a z)) (cbrt b))
3.5b	(* (* (cbrt b) (cbrt b)) (* a z))

rewrite226.0ms

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)
164.0ms	(* (* (* (cbrt b) (cbrt b)) (* a z)) (cbrt b))
55.0ms	(* (* (cbrt b) (cbrt b)) (* a z))

series1.2s

Counts

4 → 12

Calls

4 calls:

654.0ms	(cbrt b)
282.0ms	(cbrt b)
61.0ms	(* (* (* (cbrt b) (cbrt b)) (* a z)) (cbrt b))
203.0ms	(* (* (cbrt b) (cbrt b)) (* a z))

simplify1.3s

Counts

94 → 94

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	102	991
1	284	955
2	1706	645
done	5001	559

prune383.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma z y (fma (fma z b t) a x))
2.4b	(fma (fma z b t) a x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 20

Calls

2 calls:

1.0ms	(fma z y (fma (fma z b t) a x))
1.0ms	(fma (fma z b t) a x)

series246.0ms

Counts

2 → 6

Calls

2 calls:

138.0ms	(fma z y (fma (fma z b t) a x))
108.0ms	(fma (fma z b t) a x)

simplify1.0s

Counts

26 → 26

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	37	287
1	60	281
2	139	239
3	778	237
done	5000	237

prune117.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (pow (* (* a b) z) 1))
6.0b	(* (* a b) z)

rewrite218.0ms

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-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
1×	`associate-l` `*-commutative` `distribute-lft-out`

Counts

3 → 58

Calls

3 calls:

40.0ms	(+ (+ x (* y z)) (* t a))
156.0ms	(+ (+ (+ x (* y z)) (* t a)) (pow (* (* a b) z) 1))
19.0ms	(* (* a b) z)

series297.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(+ (+ x (* y z)) (* t a))
150.0ms	(+ (+ (+ x (* y z)) (* t a)) (pow (* (* a b) z) 1))
57.0ms	(* (* a b) z)

simplify2.3s

Counts

67 → 67

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	109	861
1	315	711
2	2284	611
done	5000	570

prune370.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes327.0ms

Accuracy

82.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.2b

bsearch176.0ms

Steps

Iters	Range		Point
7	2.760099858018857e+107	6.037019572701268e+109	5.5083276303236443e+107
7	-3.662433051075124e-21	-5.60800896186385e-23	-3.582737355568931e-21

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	24	52
1	36	34
done	36	34

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s

11920×

body

valid