Details

sample69.0ms

Algorithm

intervals

Results

28.0ms

366×

body

valid

simplify130.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	121
5	121
4	120
3	95
2	56
1	26
0	13

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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))
3.8b	(* (* a z) b)

rewrite181.0ms

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`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 56

Calls

4 calls:

8.0ms	(+ x (* y z))
111.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
31.0ms	(+ (+ x (* y z)) (* t a))
29.0ms	(* (* a z) b)

series341.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ x (* y z))
155.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
88.0ms	(+ (+ x (* y z)) (* t a))
51.0ms	(* (* a z) b)

simplify1.1s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
2	2172
1	347
0	115

prune460.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
0.6b	(* (* (* (cbrt b) (cbrt b)) (* a z)) (cbrt b))
3.5b	(* (* (cbrt b) (cbrt b)) (* a z))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
139.0ms	(* (* (* (cbrt b) (cbrt b)) (* a z)) (cbrt b))
32.0ms	(* (* (cbrt b) (cbrt b)) (* a z))

series893.0ms

Counts

4 → 12

Calls

4 calls:

301.0ms	(cbrt b)
328.0ms	(cbrt b)
75.0ms	(* (* (* (cbrt b) (cbrt b)) (* a z)) (cbrt b))
188.0ms	(* (* (cbrt b) (cbrt b)) (* a z))

simplify1.2s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1715
1	280
0	97

prune450.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* b a))
0.0b	(+ x (* t a))
0.0b	(+ (+ x (* t a)) (* z (+ y (* b a))))
2.5b	(* z (+ y (* b a)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

8.0ms	(+ y (* b a))
8.0ms	(+ x (* t a))
35.0ms	(+ (+ x (* t a)) (* z (+ y (* b a))))
14.0ms	(* z (+ y (* b a)))

series312.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ y (* b a))
39.0ms	(+ x (* t a))
139.0ms	(+ (+ x (* t a)) (* z (+ y (* b a))))
88.0ms	(* z (+ y (* b a)))

simplify997.0ms

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
2	2175
1	409
0	126

prune531.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ t (* b z))
0.0b	(+ (+ x (* y z)) (* a (+ t (* b z))))
2.6b	(* a (+ t (* b z)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

8.0ms	(+ x (* y z))
5.0ms	(+ t (* b z))
23.0ms	(+ (+ x (* y z)) (* a (+ t (* b z))))
23.0ms	(* a (+ t (* b z)))

series341.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ x (* y z))
49.0ms	(+ t (* b z))
142.0ms	(+ (+ x (* y z)) (* a (+ t (* b z))))
103.0ms	(* a (+ t (* b z)))

simplify923.0ms

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
2	2150
1	403
0	125

prune463.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes597.0ms

Accuracy

89.4% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.8b

bsearch125.0ms

Steps

Iters	Range		Point
8	1.6127794285287303e+33	1.7775266294677815e+37	7.188070421996829e+35
7	-3.70676153824672e+88	-5.782019856352604e+86	-5.898618251789109e+86

simplify3.0ms

Iterations

Iter	Nodes
done	39
1	39
0	24

end0.0ms

sample2.5s

Algorithm

intervals

Results

943.0ms

11774×

body

valid