Details

sample52.0ms

Algorithm

intervals

Results

22.0ms

373×

body

valid

simplify254.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (91.0ms)

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

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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))
4.4b	(* (* a z) b)

rewrite186.0ms

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))
130.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
28.0ms	(* (* a z) b)

series291.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ (+ x (* y z)) (* t a))
159.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
44.0ms	(* (* a z) b)

simplify1.9s

Counts

66 → 66

Iterations

Useful iterations: done (1.9s)

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

prune377.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

3.6b	(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)

series101.0ms

Counts

1 → 3

Calls

1 calls:

101.0ms

(fma (fma z b t) a x)

simplify867.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	22	125
1	36	123
2	83	103
3	435	103
done	5001	103

prune108.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (cbrt (pow (* (* a z) b) 3)))
0.2b	(pow (* (* a z) b) 3)
4.4b	(* (* a z) b)
26.5b	(cbrt (pow (* (* a z) b) 3))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`add-log-exp`
10×	`*-un-lft-identity`
8×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
6×	`pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `pow-pow` `fma-def` `associate-r` `pow-exp` `rem-cube-cbrt`
2×	`cube-mult` `unpow-prod-down` `unpow3` `cube-prod` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+l+` `flip3-+` `pow1/3` `associate-l` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

4 → 86

Calls

4 calls:

136.0ms	(+ (+ (+ x (* y z)) (* t a)) (cbrt (pow (* (* a z) b) 3)))
18.0ms	(pow (* (* a z) b) 3)
35.0ms	(* (* a z) b)
5.0ms	(cbrt (pow (* (* a z) b) 3))

series433.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(+ (+ (+ x (* y z)) (* t a)) (cbrt (pow (* (* a z) b) 3)))
174.0ms	(pow (* (* a z) b) 3)
35.0ms	(* (* a z) b)
48.0ms	(cbrt (pow (* (* a z) b) 3))

simplify2.5s

Counts

98 → 98

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	136	1159
1	368	892
2	2457	793
done	5001	762

prune697.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

4.4b	(* b (* z a))
4.4b	(* b (* z a))
14.3b	(sqrt (* b (* z a)))
14.3b	(sqrt (* b (* z a)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1`
14×	`add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `sqrt-pow1` `associate-l*` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `associate-r` `sqrt-prod` `*-commutative`

Counts

4 → 68

Calls

4 calls:

35.0ms	(* b (* z a))
33.0ms	(* b (* z a))
15.0ms	(sqrt (* b (* z a)))
29.0ms	(sqrt (* b (* z a)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* b (* z a))
50.0ms	(* b (* z a))
89.0ms	(sqrt (* b (* z a)))
83.0ms	(sqrt (* b (* z a)))

simplify3.1s

Counts

80 → 80

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	56	544
1	114	510
2	432	442
3	2133	442
done	5001	442

prune524.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes556.0ms

Accuracy

75.1% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.2b

bsearch121.0ms

Steps

Iters	Range		Point
5	1.4827279146097193e-140	5.105798071499148e-140	4.987481953569162e-140
10	-1.7714079872353087e-60	-3.388495847376749e-73	-1.745746629770795e-60

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

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

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s

11812×

body

valid