Details

sample41.0ms

Algorithm

intervals

Results

23.0ms

256×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	1247
9	393
8	175
7	143
6	115
5	93
4	82
3	58
2	33
1	22
0	14

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.0b	(+ 0.99229 (* x 0.04481))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
15.5b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`pow1`
5×	`flip3-+` `flip-+`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`+-commutative` `sum-log` `associate-*l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

4.0ms	(+ 2.30753 (* x 0.27061))
4.0ms	(+ 0.99229 (* x 0.04481))
13.0ms	(* (+ 0.99229 (* x 0.04481)) x)
18.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series313.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(+ 2.30753 (* x 0.27061))
58.0ms	(+ 0.99229 (* x 0.04481))
94.0ms	(* (+ 0.99229 (* x 0.04481)) x)
89.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify1.4s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	1925
1	391
0	153

prune518.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(* (cbrt x) (cbrt x))
15.5b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* (+ 0.99229 (* x 0.04481)) (* (cbrt x) (cbrt x))) (cbrt x))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`times-frac`
8×	`pow1/3` `add-exp-log`
6×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l`
4×	`add-log-exp` `unswap-sqr`
3×	`associate-/r` `associate-/l`
2×	`flip3-+` `pow-prod-down` `associate-/r/` `pow-sqr` `pow-prod-up` `flip-+` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `frac-2neg` `pow-plus` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 93

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
14.0ms	(* (cbrt x) (cbrt x))
18.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* (+ 0.99229 (* x 0.04481)) (* (cbrt x) (cbrt x))) (cbrt x))))

series1.0s

Counts

4 → 12

Calls

4 calls:

309.0ms	(cbrt x)
259.0ms	(cbrt x)
321.0ms	(* (cbrt x) (cbrt x))
124.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* (+ 0.99229 (* x 0.04481)) (* (cbrt x) (cbrt x))) (cbrt x))))

simplify1.5s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	1824
1	381
0	153

prune647.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize103.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt x) (cbrt x))
0.6b	(* (cbrt x) (cbrt x))
15.4b	(sqrt (+ 1.0 (* (* (+ 0.99229 (* x 0.04481)) (* (cbrt x) (cbrt x))) (cbrt x))))
15.4b	(sqrt (+ 1.0 (* (* (+ 0.99229 (* x 0.04481)) (* (cbrt x) (cbrt x))) (cbrt x))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
32×	`cbrt-prod`
22×	`*-un-lft-identity` `add-cube-cbrt`
20×	`pow1`
12×	`pow1/3` `swap-sqr` `associate-r` `associate-l`
8×	`add-exp-log` `unswap-sqr`
6×	`sqrt-prod`
4×	`add-cbrt-cube` `sqrt-div` `pow-prod-down` `pow-sqr` `pow-prod-up` `add-log-exp`
2×	`pow2` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow-plus` `pow1/2` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 110

Calls

4 calls:

9.0ms	(* (cbrt x) (cbrt x))
20.0ms	(* (cbrt x) (cbrt x))
8.0ms	(sqrt (+ 1.0 (* (* (+ 0.99229 (* x 0.04481)) (* (cbrt x) (cbrt x))) (cbrt x))))
8.0ms	(sqrt (+ 1.0 (* (* (+ 0.99229 (* x 0.04481)) (* (cbrt x) (cbrt x))) (cbrt x))))

series872.0ms

Counts

4 → 12

Calls

4 calls:

282.0ms	(* (cbrt x) (cbrt x))
322.0ms	(* (cbrt x) (cbrt x))
136.0ms	(sqrt (+ 1.0 (* (* (+ 0.99229 (* x 0.04481)) (* (cbrt x) (cbrt x))) (cbrt x))))
132.0ms	(sqrt (+ 1.0 (* (* (+ 0.99229 (* x 0.04481)) (* (cbrt x) (cbrt x))) (cbrt x))))

simplify1.6s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	1161
1	283
0	119

prune793.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	24
1	24
0	17

end0.0ms

sample746.0ms

Algorithm

intervals

Results

602.0ms

8000×

body

valid