Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

286×

body

valid

simplify259.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	281
8	281
7	271
6	242
5	192
4	138
3	88
2	46
1	20
0	10

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize21.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ 2.0 (* (/ z x) (- y t)))
5.2b	(* (/ z x) (- y t))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
18×	`prod-diff`
16×	`add-cbrt-cube` `add-exp-log`
13×	`times-frac` `associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`cbrt-undiv` `div-exp` `associate-r` `associate-/r/`
4×	`frac-times` `pow1` `flip3--` `prod-exp` `associate-*r/` `cbrt-unprod` `flip--`
3×	`associate-/l*`
2×	`expm1-log1p-u` `sub-neg` `associate-*l/` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 92

Calls

2 calls:

19.0ms	(/ 2.0 (* (/ z x) (- y t)))
48.0ms	(* (/ z x) (- y t))

series164.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(/ 2.0 (* (/ z x) (- y t)))
90.0ms	(* (/ z x) (- y t))

simplify1.3s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	2776
1	516
0	191

prune490.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.8b	(/ 2.0 (* (/ (* (cbrt z) (cbrt z)) 1) (* (/ (cbrt z) x) (- y t))))
1.1b	(* (/ (cbrt z) x) (- y t))
3.0b	(* (/ (* (cbrt z) (cbrt z)) 1) (* (/ (cbrt z) x) (- y t)))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

140×	`add-exp-log`
73×	`add-cbrt-cube`
69×	`add-sqr-sqrt`
64×	`prod-exp`
61×	`*-un-lft-identity`
59×	`add-cube-cbrt`
55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
51×	`div-exp`
38×	`cbrt-unprod`
29×	`cbrt-undiv` `associate-l`
26×	`times-frac`
20×	`frac-times` `associate-*r/`
13×	`cbrt-prod`
12×	`1-exp`
11×	`pow1` `associate-/r/`
10×	`flip3--` `flip--`
7×	`associate-*l/`
6×	`sub-neg` `associate-r`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`div-inv` `associate-/l*` `unswap-sqr`
2×	`*-commutative`
1×	`clear-num` `associate-/r*` `frac-2neg` `pow1/3` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 240

Calls

4 calls:

1.0ms	(cbrt z)
65.0ms	(/ 2.0 (* (/ (* (cbrt z) (cbrt z)) 1) (* (/ (cbrt z) x) (- y t))))
37.0ms	(* (/ (cbrt z) x) (- y t))
111.0ms	(* (/ (* (cbrt z) (cbrt z)) 1) (* (/ (cbrt z) x) (- y t)))

series556.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt z)
78.0ms	(/ 2.0 (* (/ (* (cbrt z) (cbrt z)) 1) (* (/ (cbrt z) x) (- y t))))
184.0ms	(* (/ (cbrt z) x) (- y t))
91.0ms	(* (/ (* (cbrt z) (cbrt z)) 1) (* (/ (cbrt z) x) (- y t)))

simplify872.0ms

Counts

252 → 252

Iterations

Iter	Nodes
done	5000
1	1378
0	393

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 2.0)
1.1b	(* (/ (cbrt z) x) (- y t))
1.3b	(/ (cbrt 2.0) (* (/ (cbrt z) x) (- y t)))
2.5b	(* (* (/ (cbrt 2.0) (cbrt z)) (/ (cbrt 2.0) (cbrt z))) (/ (cbrt 2.0) (* (/ (cbrt z) x) (- y t))))

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

120×	`add-exp-log`
63×	`add-cbrt-cube`
50×	`prod-exp` `cbrt-unprod`
49×	`add-sqr-sqrt`
41×	`cbrt-undiv` `div-exp`
40×	`*-un-lft-identity`
38×	`add-cube-cbrt`
32×	`times-frac`
23×	`associate-l`
22×	`cbrt-prod`
20×	`associate-r`
18×	`prod-diff`
11×	`distribute-rgt-in` `frac-times` `pow1` `distribute-lft-in`
10×	`associate-/r/`
9×	`associate-*r/`
8×	`associate-*l/`
6×	`flip3--` `flip--` `associate-/l*`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`div-inv`
2×	`sub-neg` `*-commutative`
1×	`clear-num` `associate-/r*` `frac-2neg` `pow1/3` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 197

Calls

4 calls:

1.0ms	(cbrt 2.0)
44.0ms	(* (/ (cbrt z) x) (- y t))
29.0ms	(/ (cbrt 2.0) (* (/ (cbrt z) x) (- y t)))
145.0ms	(* (* (/ (cbrt 2.0) (cbrt z)) (/ (cbrt 2.0) (cbrt z))) (/ (cbrt 2.0) (* (/ (cbrt z) x) (- y t))))

series761.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(cbrt 2.0)
224.0ms	(* (/ (cbrt z) x) (- y t))
301.0ms	(/ (cbrt 2.0) (* (/ (cbrt z) x) (- y t)))
235.0ms	(* (* (/ (cbrt 2.0) (cbrt z)) (/ (cbrt 2.0) (cbrt z))) (/ (cbrt 2.0) (* (/ (cbrt z) x) (- y t))))

simplify1.3s

Counts

207 → 207

Iterations

Iter	Nodes
done	5001
1	1009
0	319

prune1.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y t) x)
0.8b	(/ 2.0 (* z (/ (- y t) x)))
5.3b	(* z (/ (- y t) x))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
34×	`times-frac`
25×	`add-cube-cbrt`
19×	`add-cbrt-cube` `associate-r` `add-exp-log`
8×	`associate-/l*`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`associate-/r*` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*r/` `unswap-sqr` `associate-/l/`
1×	`flip3--` `div-sub` `pow-prod-down` `associate-/r/` `*-commutative` `flip--`

Counts

3 → 106

Calls

3 calls:

24.0ms	(/ (- y t) x)
11.0ms	(/ 2.0 (* z (/ (- y t) x)))
23.0ms	(* z (/ (- y t) x))

series226.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (- y t) x)
113.0ms	(/ 2.0 (* z (/ (- y t) x)))
64.0ms	(* z (/ (- y t) x))

simplify1.5s

Counts

115 → 115

Iterations

Iter	Nodes
done	5001
2	1735
1	394
0	158

prune617.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes776.0ms

Accuracy

78% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 5.5b

bsearch1.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	26
1	26
0	20

end0.0ms

sample1.3s

Algorithm

intervals

Results

902.0ms

8750×

body

valid