Details

sample46.0ms

Algorithm

intervals

Results

16.0ms

369×

body

valid

simplify103.0ms

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

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))
3.9b	(* (* a z) b)

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

18.0ms	(+ (+ x (* y z)) (* t a))
103.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
14.0ms	(* (* a z) b)

series220.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(+ (+ x (* y z)) (* t a))
110.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
44.0ms	(* (* a z) b)

simplify1.2s

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
2	1836
1	291
0	99

prune332.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.5b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
2.6b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite180.0ms

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)
119.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
54.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series687.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt b)
254.0ms	(cbrt b)
61.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
166.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify1.3s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1708
1	277
0	96

prune546.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize95.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* a z) (* (cbrt b) (cbrt b)))
13.9b	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
13.9b	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
13.9b	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
12×	`add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 49

Calls

4 calls:

26.0ms	(* (* a z) (* (cbrt b) (cbrt b)))
22.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
24.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
28.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))

series881.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* (* a z) (* (cbrt b) (cbrt b)))
241.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
247.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
260.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))

simplify1.1s

Counts

61 → 61

Iterations

Iter	Nodes
done	5001
2	803
1	226
0	86

prune561.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize110.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* a z) (* (cbrt b) (cbrt b)))
12.0b	(cbrt (* a z))
13.9b	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
13.9b	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
12×	`add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 49

Calls

4 calls:

43.0ms	(* (* a z) (* (cbrt b) (cbrt b)))
4.0ms	(cbrt (* a z))
35.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
34.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))

series812.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (* a z) (* (cbrt b) (cbrt b)))
110.0ms	(cbrt (* a z))
283.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))
267.0ms	(cbrt (* (* a z) (* (cbrt b) (cbrt b))))

simplify1.0s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
2	831
1	243
0	97

prune569.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes837.0ms

Accuracy

61.5% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.0b

bsearch219.0ms

Steps

Iters	Range		Point
10	2.257206341322858e+84	7.86973597900608e+94	3.8847958802201756e+84
10	-6.605515448132914e+157	-1.1821904179442674e+142	-1.0293329140970352e+146

simplify5.0ms

Iterations

Iter	Nodes
done	39
1	39
0	24

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.0s

11867×

body

valid