Details

sample51.0ms

Algorithm

intervals

Results

26.0ms

391×

body

valid

simplify75.0ms

Counts

1 → 1

Iterations

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ (+ x (* y z)) (* t a))
4.4b	(* (* 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:

91.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
26.0ms	(+ (+ x (* y z)) (* t a))
15.0ms	(* (* a z) b)

series222.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
67.0ms	(+ (+ x (* y z)) (* t a))
37.0ms	(* (* a z) b)

simplify1.5s

Counts

54 → 54

Iterations

Iter	Nodes
done	5001
2	1828
1	290
0	99

prune355.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (* a z) b)
14.1b	(cbrt (* (* a z) b))
14.1b	(cbrt (* (* a z) b))
14.1b	(cbrt (* (* a z) b))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

19.0ms	(* (* a z) b)
14.0ms	(cbrt (* (* a z) b))
14.0ms	(cbrt (* (* a z) b))
20.0ms	(cbrt (* (* a z) b))

series402.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* a z) b)
129.0ms	(cbrt (* (* a z) b))
111.0ms	(cbrt (* (* a z) b))
121.0ms	(cbrt (* (* a z) b))

simplify972.0ms

Counts

57 → 57

Iterations

Iter	Nodes
done	5000
2	895
1	189
0	76

prune519.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (* a z) b)
10.5b	(cbrt (* a z))
14.1b	(cbrt (* (* a z) b))
14.1b	(cbrt (* (* a z) b))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

14.0ms	(* (* a z) b)
3.0ms	(cbrt (* a z))
16.0ms	(cbrt (* (* a z) b))
10.0ms	(cbrt (* (* a z) b))

series399.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* a z) b)
99.0ms	(cbrt (* a z))
129.0ms	(cbrt (* (* a z) b))
130.0ms	(cbrt (* (* a z) b))

simplify927.0ms

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
2	1026
1	225
0	93

prune580.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.3b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
3.3b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite134.0ms

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)
94.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
36.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series662.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(cbrt b)
237.0ms	(cbrt b)
64.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
138.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify1.3s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1708
1	277
0	96

prune455.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes775.0ms

Accuracy

80% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.1b

bsearch85.0ms

Steps

Iters	Range		Point
4	7.02379017192685e-109	1.1061978007182833e-108	9.506576254366928e-109
8	-3.236922250557709e+34	-5.90791172990774e+31	-1.2221525389222506e+33

simplify7.0ms

Iterations

Iter	Nodes
done	39
1	39
0	24

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.3s

11917×

body

valid