Details

sample303.0ms

Algorithm

intervals

Results

103.0ms	50×	body	1280	valid
21.0ms	37×	body	640	valid
15.0ms	124×	body	80	valid
15.0ms	28×	body	320	valid
7.0ms	256×	pre	80	true
6.0ms	17×	body	160	valid

simplify30.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	9	11
1	17	11
2	22	11
done	22	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

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))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

37.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
19.0ms	(* e (sin v))
22.0ms	(* e (cos v))

series232.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
54.0ms	(* e (sin v))
67.0ms	(* e (cos v))

simplify9.8s

Counts

68 → 68

Iterations

Useful iterations: done (9.8s)

Iter	Nodes	Cost
0	118	723
1	3286	685
done	5000	607

prune224.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

20.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
40.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
14.0ms	(* e (cos v))

series256.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
137.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
45.0ms	(* e (cos v))

simplify6.9s

Counts

90 → 90

Iterations

Useful iterations: done (6.9s)

Iter	Nodes	Cost
0	156	1280
1	3030	1221
done	5000	1123

prune322.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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))
0.2b	(* (sqrt e) (* (sqrt e) (sin v)))
0.3b	(* (sqrt e) (sin v))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

41.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
9.0ms	(* e (cos v))
45.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
27.0ms	(* (sqrt e) (sin v))

series393.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
52.0ms	(* e (cos v))
65.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
124.0ms	(* (sqrt e) (sin v))

simplify577.0ms

Counts

98 → 98

Iterations

Useful iterations: done (574.0ms)

Iter	Nodes	Cost
0	191	1333
done	5000	1069

prune460.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

27×	`associate-l`
24×	`sqrt-prod`
23×	`add-sqr-sqrt`
22×	`pow1` `add-exp-log` `add-cbrt-cube`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-r`
4×	`*-commutative` `add-log-exp` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

18.0ms	(* e (cos v))
33.0ms	(* (sqrt (sqrt e)) (sin v))
145.0ms	(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
90.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))

series433.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* e (cos v))
161.0ms	(* (sqrt (sqrt e)) (sin v))
80.0ms	(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
117.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))

simplify5.5s

Counts

104 → 104

Iterations

Useful iterations: done (5.5s)

Iter	Nodes	Cost
0	152	1275
1	2437	868
done	5000	777

prune476.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes211.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	12	11
done	12	11

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.7s	1515×	body	1280	valid
877.0ms	1260×	body	640	valid
614.0ms	4245×	body	80	valid
265.0ms	8000×	pre	80	true
253.0ms	661×	body	320	valid
124.0ms	319×	body	160	valid