Details

sample151.0ms

Algorithm

intervals

Results

70.0ms	686×	body	80	nan
20.0ms	256×	body	80	valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	2302
3	500
2	122
1	38
0	18

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (/ x (* y 27.0)))
1.0b	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
2.4b	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.1b	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-cbrt-cube` `add-exp-log`
39×	`prod-exp` `cbrt-unprod`
29×	`add-sqr-sqrt`
27×	`cbrt-undiv` `div-exp`
21×	`associate-l`
18×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-r`
15×	`times-frac`
10×	`pow1`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `sqrt-prod` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow-prod-down` `*-commutative`
2×	`associate-l/` `associate-r/`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-/l` `associate-/l/`

Counts

4 → 138

Calls

4 calls:

28.0ms	(* 3.0 (/ x (* y 27.0)))
16.0ms	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
86.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
31.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series211.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* 3.0 (/ x (* y 27.0)))
27.0ms	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
116.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
46.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.5s

Counts

150 → 150

Iterations

Iter	Nodes
done	5002
2	4737
1	759
0	260

prune968.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b	(/ 1.0 (cbrt 3.0))
2.4b	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.1b	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-exp-log`
83×	`add-cbrt-cube`
48×	`add-sqr-sqrt`
40×	`times-frac`
36×	`*-un-lft-identity` `add-cube-cbrt`
35×	`prod-exp` `cbrt-unprod`
27×	`associate-l`
26×	`cbrt-undiv` `div-exp`
22×	`cbrt-prod`
9×	`associate-r`
8×	`pow1`
7×	`associate-/r*`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `sqrt-prod` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative`
1×	`associate-*r/` `associate-/l/`

Counts

4 → 160

Calls

4 calls:

22.0ms	(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
8.0ms	(/ 1.0 (cbrt 3.0))
101.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
32.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series276.0ms

Counts

4 → 10

Calls

4 calls:

116.0ms	(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms	(/ 1.0 (cbrt 3.0))
122.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
38.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify2.3s

Counts

170 → 170

Iterations

Iter	Nodes
done	5001
2	4548
1	782
0	277

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
2.3b	(* (sqrt t) (/ x (* z y)))
5.1b	(/ x (* z y))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
13×	`prod-exp` `cbrt-unprod`
10×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
9×	`associate-l`
8×	`associate-r`
6×	`cbrt-undiv` `times-frac` `div-exp`
4×	`pow-prod-down` `sqrt-prod`
3×	`expm1-log1p-u` `associate-r/` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`clear-num` `associate-/r*` `frac-2neg`

Counts

3 → 81

Calls

3 calls:

49.0ms	(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
24.0ms	(* (sqrt t) (/ x (* z y)))
6.0ms	(/ x (* z y))

series249.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
96.0ms	(* (sqrt t) (/ x (* z y)))
41.0ms	(/ x (* z y))

simplify1.4s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1873
1	398
0	144

prune530.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes832.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	31
1	31
0	23

end0.0ms

sample6.4s

Algorithm

intervals

Results

3.7s	23583×	body	80	nan
857.0ms	8000×	body	80	valid