Details

sample270.0ms

Algorithm

intervals

Results

76.0ms	136×	body	80	valid
65.0ms	46×	body	1280	valid
36.0ms	38×	body	640	valid
16.0ms	24×	body	320	valid
12.0ms	256×	pre	80	true
5.0ms	12×	body	160	valid

simplify34.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	24
4	24
3	23
2	20
1	16
0	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1 (* e (cos v))))
0.1b	(* e (cos v))
0.1b	(* e (sin v))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
6×	`associate-r` `associate-l`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l*`

Counts

3 → 62

Calls

3 calls:

28.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
15.0ms	(* e (cos v))
48.0ms	(* e (sin v))

series277.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
67.0ms	(* e (cos v))
93.0ms	(* e (sin v))

simplify1.1s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1457
1	291
0	114

prune348.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.1b	(* e (cos v))
0.1b	(/ (+ 1 (* e (cos v))) (sin v))
0.2b	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
57×	`add-sqr-sqrt`
55×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
12×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 120

Calls

3 calls:

15.0ms	(* e (cos v))
40.0ms	(/ (+ 1 (* e (cos v))) (sin v))
10.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

series287.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* e (cos v))
113.0ms	(/ (+ 1 (* e (cos v))) (sin v))
124.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

simplify1.6s

Counts

129 → 129

Iterations

Iter	Nodes
done	5002
2	2954
1	554
0	216

prune782.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(/ (+ 1 (* e (cos v))) (sin v))
0.3b	(/ (sqrt e) (/ (/ (+ 1 (* e (cos v))) (sin v)) (sqrt e)))
0.3b	(/ (/ (+ 1 (* e (cos v))) (sin v)) (sqrt e))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

1566×	`times-frac`
742×	`add-sqr-sqrt`
740×	`*-un-lft-identity` `add-cube-cbrt`
564×	`sqrt-prod`
91×	`associate-/r*`
59×	`div-inv`
22×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
10×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `associate-l` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 760

Calls

4 calls:

8.0ms	(* e (cos v))
25.0ms	(/ (+ 1 (* e (cos v))) (sin v))
19.0ms	(/ (sqrt e) (/ (/ (+ 1 (* e (cos v))) (sin v)) (sqrt e)))
39.0ms	(/ (/ (+ 1 (* e (cos v))) (sin v)) (sqrt e))

series438.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* e (cos v))
115.0ms	(/ (+ 1 (* e (cos v))) (sin v))
115.0ms	(/ (sqrt e) (/ (/ (+ 1 (* e (cos v))) (sin v)) (sqrt e)))
161.0ms	(/ (/ (+ 1 (* e (cos v))) (sin v)) (sqrt e))

simplify2.6s

Counts

772 → 772

Iterations

Iter	Nodes
done	5000
1	2751
0	965

prune3.6s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.2b	(/ (+ 1 (* e (cos v))) (* (sqrt e) (sin v)))
0.3b	(/ (sqrt e) (/ (+ 1 (* e (cos v))) (* (sqrt e) (sin v))))
0.3b	(* (sqrt e) (sin v))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
47×	`add-sqr-sqrt`
41×	`*-un-lft-identity` `add-cube-cbrt`
28×	`sqrt-prod`
22×	`add-cbrt-cube` `add-exp-log`
9×	`associate-l` `div-inv` `associate-/l*`
8×	`pow1` `associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`clear-num` `frac-2neg` `pow-prod-down` `*-commutative` `associate-/l/`
1×	`flip3-+` `associate-/r/` `flip-+`

Counts

4 → 139

Calls

4 calls:

13.0ms	(* e (cos v))
50.0ms	(/ (+ 1 (* e (cos v))) (* (sqrt e) (sin v)))
21.0ms	(/ (sqrt e) (/ (+ 1 (* e (cos v))) (* (sqrt e) (sin v))))
12.0ms	(* (sqrt e) (sin v))

series470.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* e (cos v))
158.0ms	(/ (+ 1 (* e (cos v))) (* (sqrt e) (sin v)))
142.0ms	(/ (sqrt e) (/ (+ 1 (* e (cos v))) (* (sqrt e) (sin v))))
115.0ms	(* (sqrt e) (sin v))

simplify2.4s

Counts

151 → 151

Iterations

Iter	Nodes
done	5001
2	4511
1	812
0	306

prune831.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes232.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	9

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.0s	1506×	body	1280	valid
1.1s	1341×	body	640	valid
1.1s	8000×	pre	80	true
894.0ms	4211×	body	80	valid
347.0ms	608×	body	320	valid
121.0ms	334×	body	160	valid