Details

sample136.0ms

Algorithm

intervals

Results

65.0ms	774×	body	80	nan
16.0ms	256×	body	80	valid

simplify40.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ x (* y 27.0))
1.0b	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.9b	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.5b	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

88×	`add-exp-log` `add-cbrt-cube`
36×	`prod-exp` `cbrt-unprod`
27×	`cbrt-undiv` `div-exp`
26×	`add-sqr-sqrt`
18×	`associate-l`
17×	`add-cube-cbrt` `*-un-lft-identity`
15×	`times-frac`
9×	`associate-r`
8×	`pow1`
4×	`sqrt-prod` `div-inv` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `associate-/r` `*-commutative`
1×	`associate-*r/` `associate-/l/`

Counts

4 → 124

Calls

4 calls:

12.0ms	(/ x (* y 27.0))
21.0ms	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
90.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
29.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series231.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ x (* y 27.0))
31.0ms	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
133.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
40.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify100.0ms

Counts: 136 → 136

prune379.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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))
1.9b	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
5.5b	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-exp-log`
83×	`add-cbrt-cube`
48×	`add-sqr-sqrt`
40×	`times-frac`
36×	`add-cube-cbrt` `*-un-lft-identity`
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×	`sqrt-prod` `div-inv` `associate-/l*` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`
1×	`associate-*r/` `associate-/l/`

Counts

4 → 152

Calls

4 calls:

31.0ms	(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
8.0ms	(/ 1.0 (cbrt 3.0))
102.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
33.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series260.0ms

Counts

4 → 10

Calls

4 calls:

99.0ms	(* (/ 1.0 (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms	(/ 1.0 (cbrt 3.0))
121.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
39.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify86.0ms

Counts: 162 → 162

prune737.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
0.2b	(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
1.9b	(* (sqrt t) (/ x (* z y)))
5.2b	(/ x (* z y))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
33×	`add-cbrt-cube`
30×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `*-un-lft-identity`
24×	`times-frac`
13×	`prod-exp` `cbrt-unprod`
12×	`cbrt-prod`
11×	`pow1`
9×	`associate-l`
8×	`associate-r`
7×	`cbrt-undiv` `div-exp` `associate-/r*`
6×	`associate-/l*`
4×	`pow-prod-down` `sqrt-prod` `add-log-exp`
3×	`associate-*r/` `div-inv`
2×	`frac-2neg` `clear-num` `*-commutative` `unswap-sqr`
1×	`acos-asin` `div-sub`

Counts

4 → 115

Calls

4 calls:

18.0ms	(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
71.0ms	(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
50.0ms	(* (sqrt t) (/ x (* z y)))
12.0ms	(/ x (* z y))

series314.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(/ (acos (* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))) (cbrt 3.0))
102.0ms	(* 0.05555555555555555 (* (sqrt t) (/ x (* z y))))
104.0ms	(* (sqrt t) (/ x (* z y)))
30.0ms	(/ x (* z y))

simplify62.0ms

Counts: 127 → 127

prune571.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (sqrt t) (/ x (* z y)))
1.9b	(* (sqrt t) (/ x (* z y)))
5.2b	(/ x (* z y))
5.2b	(/ x (* z y))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
24×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
14×	`associate-r`
12×	`times-frac` `associate-l`
10×	`prod-exp` `cbrt-unprod`
8×	`pow1` `cbrt-undiv` `div-exp` `sqrt-prod`
6×	`associate-/l*`
4×	`div-inv` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative`

Counts

4 → 104

Calls

4 calls:

25.0ms	(* (sqrt t) (/ x (* z y)))
37.0ms	(* (sqrt t) (/ x (* z y)))
8.0ms	(/ x (* z y))
8.0ms	(/ x (* z y))

series236.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* (sqrt t) (/ x (* z y)))
88.0ms	(* (sqrt t) (/ x (* z y)))
26.0ms	(/ x (* z y))
23.0ms	(/ x (* z y))

simplify45.0ms

Counts: 116 → 116

prune655.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes126.0ms

Accuracy

-16179.3% (1.0b remaining)

Error of 1.2b against oracle of 0.3b and baseline of 0.3b

bsearch0.0ms

simplify133.0ms

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.7s	24120×	body	80	nan
1.2s	8000×	body	80	valid