Details

sample71.0ms

Algorithm

intervals

Results

35.0ms

383×

body

valid

simplify97.0ms

Counts

1 → 1

Iterations

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

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 48

Calls

3 calls:

8.0ms	(+ (* a (+ t (* z b))) x)
39.0ms	(+ (* z y) (+ (* a (+ t (* z b))) x))
25.0ms	(* a (+ t (* z b)))

series286.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(+ (* a (+ t (* z b))) x)
122.0ms	(+ (* z y) (+ (* a (+ t (* z b))) x))
71.0ms	(* a (+ t (* z b)))

simplify1.6s

Counts

57 → 57

Iterations

Iter	Nodes
done	5011
2	1173
1	313
0	98

prune384.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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))
5.5b	(* (* a z) b)

rewrite134.0ms

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:

32.0ms	(+ (+ x (* y z)) (* t a))
80.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
19.0ms	(* (* a z) b)

series256.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ (+ x (* y z)) (* t a))
132.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
49.0ms	(* (* a z) b)

simplify1.5s

Counts

54 → 54

Iterations

Iter	Nodes
done	5009
2	1335
1	287
0	99

prune414.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
0.9b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
4.8b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite188.0ms

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)
125.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
58.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series761.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(cbrt b)
279.0ms	(cbrt b)
62.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
149.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify3.8s

Counts

86 → 86

Iterations

Iter	Nodes
done	5003
3	4753
2	1016
1	270
0	96

prune666.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
0.9b	(* (* z (* a (* (cbrt b) (cbrt b)))) (cbrt b))
3.0b	(* z (* a (* (cbrt b) (cbrt b))))

rewrite285.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
222.0ms	(* (* z (* a (* (cbrt b) (cbrt b)))) (cbrt b))
60.0ms	(* z (* a (* (cbrt b) (cbrt b))))

series721.0ms

Counts

4 → 12

Calls

4 calls:

288.0ms	(cbrt b)
225.0ms	(cbrt b)
55.0ms	(* (* z (* a (* (cbrt b) (cbrt b)))) (cbrt b))
153.0ms	(* z (* a (* (cbrt b) (cbrt b))))

simplify4.0s

Counts

82 → 82

Iterations

Iter	Nodes
done	5003
3	4916
2	1034
1	275
0	99

prune493.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes614.0ms

Accuracy

70.8% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.8b

bsearch73.0ms

Steps

Iters	Range		Point
8	6.915157880348157e-145	5.704604613859636e-141	4.935976670534405e-142
4	-9.63133141000414e+73	-5.00830267293896e+73	-5.255270016911635e+73

simplify5.0ms

Iterations

Iter	Nodes
done	39
1	39
0	25

end0.0ms

sample1.4s

Algorithm

intervals

Results

924.0ms

11852×

body

valid