Details

sample54.0ms

Algorithm

intervals

Results

22.0ms

382×

body

valid

simplify200.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (75.0ms)

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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))
5.1b	(* (* a z) b)

rewrite184.0ms

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:

6.0ms	(+ x (* y z))
26.0ms	(+ (+ x (* y z)) (* t a))
123.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
27.0ms	(* (* a z) b)

series216.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ x (* y z))
59.0ms	(+ (+ x (* y z)) (* t a))
99.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
30.0ms	(* (* a z) b)

simplify2.2s

Counts

85 → 85

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	123	930
1	363	781
2	2384	697
done	5000	662

prune670.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.1b	(* (* (* (cbrt b) (cbrt b)) (* a z)) (cbrt b))
4.2b	(* (* (cbrt b) (cbrt b)) (* a z))

rewrite268.0ms

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)
2.0ms	(cbrt b)
215.0ms	(* (* (* (cbrt b) (cbrt b)) (* a z)) (cbrt b))
45.0ms	(* (* (cbrt b) (cbrt b)) (* a z))

series997.0ms

Counts

4 → 12

Calls

4 calls:

313.0ms	(cbrt b)
381.0ms	(cbrt b)
68.0ms	(* (* (* (cbrt b) (cbrt b)) (* a z)) (cbrt b))
235.0ms	(* (* (cbrt b) (cbrt b)) (* a z))

simplify1.4s

Counts

94 → 94

Iterations

Useful iterations: done (1.4s)

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

prune390.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma z y (fma (fma z b t) a x))
2.6b	(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)

series350.0ms

Counts

2 → 6

Calls

2 calls:

186.0ms	(fma z y (fma (fma z b t) a x))
164.0ms	(fma (fma z b t) a x)

simplify1.1s

Counts

26 → 26

Iterations

Useful iterations: 3 (109.0ms)

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

prune109.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

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 b) z))
5.8b	(* (* a b) z)

rewrite193.0ms

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:

10.0ms	(+ x (* y z))
33.0ms	(+ (+ x (* y z)) (* t a))
115.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a b) z))
31.0ms	(* (* a b) z)

series288.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ x (* y z))
69.0ms	(+ (+ x (* y z)) (* t a))
134.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a b) z))
42.0ms	(* (* a b) z)

simplify2.1s

Counts

85 → 85

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	124	930
1	361	781
2	2399	697
done	5001	662

prune333.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes175.0ms

Accuracy

44.2% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.3b

bsearch99.0ms

Steps

Iters	Range		Point
10	-3.117053911192558e+32	-2.0174999245002867e+17	-1.0262889671540513e+31

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	34
1	29	34
done	29	34

end0.0ms

sample2.1s

Algorithm

intervals

Results

807.0ms

11671×

body

valid