Details

sample60.0ms

Algorithm

intervals

Results

24.0ms

391×

body

valid

simplify289.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (135.0ms)

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ (+ x (* y z)) (* t a))
5.7b	(* (* a z) b)

rewrite220.0ms

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:

7.0ms	(+ x (* y z))
142.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
42.0ms	(+ (+ x (* y z)) (* t a))
28.0ms	(* (* a z) b)

series292.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ x (* y z))
125.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
89.0ms	(+ (+ x (* y z)) (* t a))
41.0ms	(* (* a z) b)

simplify1.4s

Counts

85 → 85

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	123	930
1	353	781
2	1527	697
done	5002	662

prune432.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
0.8b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
5.0b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite222.0ms

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)
163.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
54.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series928.0ms

Counts

4 → 12

Calls

4 calls:

317.0ms	(cbrt b)
333.0ms	(cbrt b)
102.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
176.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify2.4s

Counts

94 → 94

Iterations

Useful iterations: done (2.4s)

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

prune415.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.8b	(* (* (* (* (cbrt b) a) z) (cbrt b)) (cbrt b))
1.3b	(* (* (cbrt b) a) z)
2.3b	(* (* (* (cbrt b) a) z) (cbrt b))

rewrite520.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
19×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
15×	`associate-r`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `*-commutative`
1×	`pow1/3`

Counts

4 → 88

Calls

4 calls:

2.0ms	(cbrt b)
376.0ms	(* (* (* (* (cbrt b) a) z) (cbrt b)) (cbrt b))
40.0ms	(* (* (cbrt b) a) z)
97.0ms	(* (* (* (cbrt b) a) z) (cbrt b))

series753.0ms

Counts

4 → 12

Calls

4 calls:

292.0ms	(cbrt b)
63.0ms	(* (* (* (* (cbrt b) a) z) (cbrt b)) (cbrt b))
195.0ms	(* (* (cbrt b) a) z)
204.0ms	(* (* (* (cbrt b) a) z) (cbrt b))

simplify2.1s

Counts

100 → 100

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	121	1057
1	301	1017
2	1313	743
done	5000	658

prune479.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

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:

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

series251.0ms

Counts

2 → 6

Calls

2 calls:

147.0ms	(fma z y (fma (fma z b t) a x))
104.0ms	(fma (fma z b t) a x)

simplify2.5s

Counts

26 → 26

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	37	287
1	60	281
2	132	239
3	512	237
4	3583	237
done	5000	237

prune115.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes361.0ms

Accuracy

48.1% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.7b

bsearch63.0ms

Steps

Iters	Range		Point
6	-5.592066230163271e+46	-5.4334970275792486e+45	-6.491061615135976e+45

simplify8.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	36
1	31	36
done	31	36

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s

11810×

body

valid