Details

sample50.0ms

Algorithm

intervals

Results

20.0ms

387×

body

valid

simplify266.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (78.0ms)

Iter	Nodes	Cost
0	13	15
1	26	15
2	67	12
3	136	11
4	180	10
5	191	10
6	194	10
done	194	10

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
8.4b	(* (* a z) b)

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `fma-def` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
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:

26.0ms	(+ (+ x (* y z)) (* t a))
160.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
11.0ms	(+ x (* y z))
33.0ms	(* (* a z) b)

series312.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ (+ x (* y z)) (* t a))
118.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
58.0ms	(+ x (* y z))
67.0ms	(* (* a z) b)

simplify1.5s

Counts

85 → 85

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	123	930
1	353	781
2	1526	697
done	5002	662

prune405.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.9b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
6.5b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite169.0ms

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:

2.0ms	(cbrt b)
1.0ms	(cbrt b)
126.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
37.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series842.0ms

Counts

4 → 12

Calls

4 calls:

303.0ms	(cbrt b)
283.0ms	(cbrt b)
72.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
184.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify2.2s

Counts

94 → 94

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	101	1001
1	251	964
2	1080	646
done	5000	561

prune400.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

2.6b	(fma (fma z b t) a x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

1.0ms

(fma (fma z b t) a x)

series114.0ms

Counts

1 → 3

Calls

1 calls:

114.0ms

(fma (fma z b t) a x)

simplify1.3s

Counts

13 → 13

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	22	125
1	36	123
2	76	103
3	261	103
4	1494	103
done	5001	103

prune63.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(pow (fma (fma z b t) a x) 3)
2.6b	(fma (fma z b t) a x)
38.7b	(cbrt (pow (fma (fma z b t) a x) 3))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 58

Calls

3 calls:

5.0ms	(pow (fma (fma z b t) a x) 3)
1.0ms	(fma (fma z b t) a x)
3.0ms	(cbrt (pow (fma (fma z b t) a x) 3))

series1.6s

Counts

3 → 9

Calls

3 calls:

1.3s	(pow (fma (fma z b t) a x) 3)
106.0ms	(fma (fma z b t) a x)
127.0ms	(cbrt (pow (fma (fma z b t) a x) 3))

simplify3.3s

Counts

67 → 67

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	84	989
1	192	815
2	622	723
3	4331	697
done	5000	695

prune266.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes215.0ms

Accuracy

47.9% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 2.1b

bsearch118.0ms

Steps

Iters	Range		Point
9	5.850551242327533e+210	1.1586668222620348e+218	1.1436572672935343e+213
8	-8.705146601651571e+106	-2.0286412191429987e+102	-2.1295256918528045e+102

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	22	48
1	32	34
done	32	34

end0.0ms

sample1.3s

Algorithm

intervals

Results

530.0ms

11875×

body

valid