Details

sample47.0ms

Algorithm

intervals

Results

30.0ms

369×

body

valid

simplify97.0ms

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ t (* z b))
0.0b	(+ (* a (+ t (* z b))) x)
0.0b	(+ (* z y) (+ (* a (+ t (* z b))) x))
2.2b	(* a (+ t (* z b)))

rewrite68.0ms

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:

7.0ms	(+ t (* z b))
13.0ms	(+ (* a (+ t (* z b))) x)
35.0ms	(+ (* z y) (+ (* a (+ t (* z b))) x))
13.0ms	(* a (+ t (* z b)))

series313.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ t (* z b))
94.0ms	(+ (* a (+ t (* z b))) x)
104.0ms	(+ (* z y) (+ (* a (+ t (* z b))) x))
78.0ms	(* a (+ t (* z b)))

simplify620.0ms

Counts

75 → 75

Iterations

Iter	Nodes
done	2003
2	1229
1	338
0	110

prune404.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.7b	(* (* a z) b)

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

7.0ms	(+ x (* y z))
100.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
22.0ms	(* (* a z) b)

series188.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ x (* y z))
115.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
37.0ms	(* (* a z) b)

simplify598.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	2001
2	1251
1	285
0	101

prune257.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

2.2b	(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
2.7b	(cbrt (+ t (* z b)))
2.7b	(cbrt (+ t (* z b)))
2.7b	(cbrt (+ t (* z b)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
34×	`associate-*r/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
9×	`cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 90

Calls

4 calls:

118.0ms	(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
4.0ms	(cbrt (+ t (* z b)))
3.0ms	(cbrt (+ t (* z b)))
10.0ms	(cbrt (+ t (* z b)))

series489.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
140.0ms	(cbrt (+ t (* z b)))
143.0ms	(cbrt (+ t (* z b)))
124.0ms	(cbrt (+ t (* z b)))

simplify606.0ms

Counts

102 → 102

Iterations

Iter	Nodes
done	2000
2	1165
1	424
0	170

prune494.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.7b	(* a (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))))
2.7b	(cbrt (+ t (* z b)))
2.7b	(cbrt (+ t (* z b)))
2.7b	(cbrt (+ t (* z b)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`associate-*r/`
9×	`cbrt-prod` `add-sqr-sqrt` `pow1` `flip3-+` `add-exp-log` `flip-+`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`add-cbrt-cube`
4×	`frac-times` `insert-posit16` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

30.0ms	(* a (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))))
2.0ms	(cbrt (+ t (* z b)))
2.0ms	(cbrt (+ t (* z b)))
2.0ms	(cbrt (+ t (* z b)))

series506.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* a (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))))
136.0ms	(cbrt (+ t (* z b)))
140.0ms	(cbrt (+ t (* z b)))
119.0ms	(cbrt (+ t (* z b)))

simplify566.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	2000
2	805
1	323
0	126

prune525.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes545.0ms

Accuracy

50% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.7b

bsearch71.0ms

Steps

Iters	Range		Point
9	5.9549948471991975e+119	4.858022742531374e+126	6.172014095867321e+119

simplify4.0ms

Iterations

Iter	Nodes
done	33
1	33
0	22

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.4s

11855×

body

valid