Details

sample63.0ms

Algorithm

intervals

Results

41.0ms

366×

body

valid

simplify111.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	106
5	106
4	105
3	89
2	54
1	26
0	13

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

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

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 60

Calls

4 calls:

11.0ms	(+ x (* y z))
21.0ms	(+ (+ x (* y z)) (* t a))
94.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
26.0ms	(* (* a z) b)

series251.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ x (* y z))
80.0ms	(+ (+ x (* y z)) (* t a))
110.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
31.0ms	(* (* a z) b)

simplify1.4s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	1595
1	343
0	119

prune478.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z y) (+ (* a (+ t (* z b))) x))
0.0b	(+ (* a (+ t (* z b))) x)
0.0b	(+ t (* z b))
2.7b	(* a (+ t (* z b)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
5×	`sum-log`
4×	`flip3-+` `flip-+` `insert-posit16`
3×	`+-commutative` `associate-r` `associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-*r/`
1×	`associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

27.0ms	(+ (* z y) (+ (* a (+ t (* z b))) x))
9.0ms	(+ (* a (+ t (* z b))) x)
7.0ms	(+ t (* z b))
21.0ms	(* a (+ t (* z b)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(+ (* z y) (+ (* a (+ t (* z b))) x))
77.0ms	(+ (* a (+ t (* z b))) x)
34.0ms	(+ t (* z b))
76.0ms	(* a (+ t (* z b)))

simplify1.6s

Counts

75 → 75

Iterations

Iter	Nodes
done	5002
2	1229
1	338
0	110

prune388.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* t a) (* z (+ (* b a) y)))
2.7b	(* z (+ (* b a) y))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `insert-posit16`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

20.0ms	(+ (* t a) (* z (+ (* b a) y)))
32.0ms	(* z (+ (* b a) y))

series111.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ (* t a) (* z (+ (* b a) y)))
48.0ms	(* z (+ (* b a) y))

simplify1.2s

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
2	930
1	248
0	79

prune197.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* t a) (* t a))
2.1b	(- (* (+ x (* y z)) (+ x (* y z))) (* (* t a) (* t a)))
4.6b	(* (* a z) b)
31.5b	(/ (- (* (+ x (* y z)) (+ x (* y z))) (* (* t a) (* t a))) (- (+ x (* y z)) (* t a)))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

48×	`pow1`
23×	`add-cbrt-cube` `add-exp-log`
20×	`pow-prod-down`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
11×	`prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`associate-r` `pow-sqr` `pow-prod-up` `insert-posit16` `associate-/l*`
3×	`associate-/r*` `flip3--` `flip--`
2×	`pow-plus` `associate-l` `associate--l+` `associate-/r/` `*-commutative` `associate-/l/`
1×	`pow2` `distribute-rgt-in` `cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `swap-sqr` `div-exp` `div-inv`

Counts

4 → 107

Calls

4 calls:

25.0ms	(* (* t a) (* t a))
36.0ms	(- (* (+ x (* y z)) (+ x (* y z))) (* (* t a) (* t a)))
29.0ms	(* (* a z) b)
75.0ms	(/ (- (* (+ x (* y z)) (+ x (* y z))) (* (* t a) (* t a))) (- (+ x (* y z)) (* t a)))

series620.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* t a) (* t a))
346.0ms	(- (* (+ x (* y z)) (+ x (* y z))) (* (* t a) (* t a)))
37.0ms	(* (* a z) b)
196.0ms	(/ (- (* (+ x (* y z)) (+ x (* y z))) (* (* t a) (* t a))) (- (+ x (* y z)) (* t a)))

simplify1.5s

Counts

119 → 119

Iterations

Iter	Nodes
done	5002
2	1958
1	497
0	176

prune698.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes551.0ms

Accuracy

4% (2.0b remaining)

Error of 2.3b against oracle of 0.3b and baseline of 2.4b

bsearch79.0ms

Steps

Iters	Range		Point
7	-1.8910430445602983e+210	-1.2501335522042383e+208	-7.562067749692457e+208

simplify3.0ms

Iterations

Iter	Nodes
done	31
1	31
0	20

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.5s

11650×

body

valid