Details

sample194.0ms

Algorithm

intervals

Results

30.0ms	41×	body	1280	valid
16.0ms	36×	body	640	valid
15.0ms	146×	body	80	valid
7.0ms	20×	body	320	valid
6.0ms	256×	pre	80	true
4.0ms	13×	body	160	valid

simplify27.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
4	22
3	21
2	18
1	14
0	9

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b	(* e (sin v))
0.1b	(* e (cos v))

rewrite53.0ms

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` `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 → 59

Calls

3 calls:

14.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
8.0ms	(* e (sin v))
9.0ms	(* e (cos v))

series290.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
74.0ms	(* e (sin v))
80.0ms	(* e (cos v))

simplify922.0ms

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
2	1505
1	304
0	117

prune350.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sin v) (sqrt (+ (* e (cos v)) 1.0)))
0.1b	(* (/ e (sqrt (+ (* e (cos v)) 1.0))) (/ (sin v) (sqrt (+ (* e (cos v)) 1.0))))
0.1b	(* e (cos v))
0.1b	(* e (cos v))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
66×	`times-frac`
49×	`*-un-lft-identity` `add-cube-cbrt`
36×	`sqrt-prod`
30×	`associate-r` `associate-l`
22×	`add-cbrt-cube` `add-exp-log`
11×	`unswap-sqr`
10×	`pow1`
6×	`associate-/r*` `sqrt-div` `prod-exp` `associate-/r/` `cbrt-unprod`
5×	`cbrt-undiv` `div-exp`
4×	`add-log-exp`
3×	`flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `associate-/l`
1×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `associate-r/`

Counts

4 → 154

Calls

4 calls:

17.0ms	(/ (sin v) (sqrt (+ (* e (cos v)) 1.0)))
103.0ms	(* (/ e (sqrt (+ (* e (cos v)) 1.0))) (/ (sin v) (sqrt (+ (* e (cos v)) 1.0))))
10.0ms	(* e (cos v))
7.0ms	(* e (cos v))

series368.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(/ (sin v) (sqrt (+ (* e (cos v)) 1.0)))
143.0ms	(* (/ e (sqrt (+ (* e (cos v)) 1.0))) (/ (sin v) (sqrt (+ (* e (cos v)) 1.0))))
57.0ms	(* e (cos v))
47.0ms	(* e (cos v))

simplify1.7s

Counts

166 → 166

Iterations

Iter	Nodes
done	5002
2	3821
1	676
0	238

prune818.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (cos v) e)
0.1b	(/ (+ (* (cos v) e) 1.0) (sin v))
0.2b	(/ e (/ (+ (* (cos v) e) 1.0) (sin v)))

rewrite57.0ms

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` `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 → 117

Calls

3 calls:

7.0ms	(* (cos v) e)
20.0ms	(/ (+ (* (cos v) e) 1.0) (sin v))
26.0ms	(/ e (/ (+ (* (cos v) e) 1.0) (sin v)))

series279.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* (cos v) e)
90.0ms	(/ (+ (* (cos v) e) 1.0) (sin v))
134.0ms	(/ e (/ (+ (* (cos v) e) 1.0) (sin v)))

simplify1.3s

Counts

126 → 126

Iterations

Iter	Nodes
done	5002
2	3108
1	594
0	226

prune627.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.3b	(* (sqrt e) (* (sqrt e) (sin v)))
0.3b	(* (sqrt e) (sin v))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`associate-l`
13×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-r` `sqrt-prod`
5×	`pow-prod-down`
4×	`add-log-exp`
3×	`cbrt-undiv` `associate-/r` `times-frac` `div-exp` `-commutative` `unswap-sqr`
2×	`associate-/r/`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 86

Calls

4 calls:

49.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
7.0ms	(* e (cos v))
37.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
22.0ms	(* (sqrt e) (sin v))

series406.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
71.0ms	(* e (cos v))
63.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
130.0ms	(* (sqrt e) (sin v))

simplify1.4s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
2	2944
1	526
0	190

prune493.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes238.0ms

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	12
1	12
0	9

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.8s	1492×	body	1280	valid
1.1s	1246×	body	640	valid
527.0ms	4319×	body	80	valid
304.0ms	612×	body	320	valid
206.0ms	8000×	pre	80	true
80.0ms	331×	body	160	valid