Details

sample272.0ms

Algorithm

intervals

Results

47.0ms	124×	body	80	valid
40.0ms	44×	body	1280	valid
30.0ms	53×	body	640	valid
10.0ms	26×	body	320	valid
8.0ms	256×	pre	80	true
2.0ms	9×	body	160	valid

simplify379.0ms

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

6.0ms	(+ 1.0 (* e (cos v)))
16.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
11.0ms	(* e (cos v))
11.0ms	(* e (sin v))

series259.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ 1.0 (* e (cos v)))
105.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
52.0ms	(* e (cos v))
59.0ms	(* e (sin v))

simplify1.4s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	1708
1	326
0	126

prune476.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

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

rewrite630.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
82×	`pow1`
62×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
35×	`add-cbrt-cube` `add-exp-log`
34×	`pow-prod-down`
19×	`associate-/r*`
16×	`cube-unmult` `pow3` `prod-exp` `sum-cubes` `cbrt-unprod`
8×	`pow-sqr` `pow-prod-up`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv` `pow-plus` `div-exp` `add-log-exp`
2×	`pow2` `clear-num` `frac-2neg` `swap-sqr` `associate-r` `associate-l` `*-commutative` `associate-/l/`
1×	`flip3-+` `associate-/r/` `flip-+`

Counts

4 → 183

Calls

4 calls:

357.0ms	(/ (+ (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* 1.0 (* 1.0 1.0))) (sin v))
41.0ms	(* (* e (cos v)) (* e (cos v)))
38.0ms	(* (* e (cos v)) (* e (cos v)))
176.0ms	(/ e (/ (+ (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* 1.0 (* 1.0 1.0))) (sin v)))

series619.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(/ (+ (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* 1.0 (* 1.0 1.0))) (sin v))
84.0ms	(* (* e (cos v)) (* e (cos v)))
102.0ms	(* (* e (cos v)) (* e (cos v)))
260.0ms	(/ e (/ (+ (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* 1.0 (* 1.0 1.0))) (sin v)))

simplify2.9s

Counts

195 → 195

Iterations

Iter	Nodes
done	5001
2	4046
1	755
0	270

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* e (cos v)) (* e (cos v)))
0.1b	(* (* e (cos v)) (* e (cos v)))
0.2b	(* (/ (sqrt e) (+ (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* 1.0 (* 1.0 1.0)))) (* (sqrt e) (sin v)))
0.3b	(* (sqrt e) (sin v))

rewrite610.0ms

Algorithm

rewrite-expression-head

Rules

89×	`pow1`
42×	`add-cbrt-cube` `add-exp-log`
38×	`associate-l` `pow-prod-down`
26×	`add-sqr-sqrt`
24×	`times-frac`
23×	`prod-exp` `cbrt-unprod`
22×	`*-un-lft-identity` `add-cube-cbrt`
16×	`sqrt-prod`
8×	`pow-sqr` `pow-prod-up`
6×	`cube-unmult` `associate-r` `pow3` `sum-cubes`
4×	`pow-plus` `*-commutative` `add-log-exp`
2×	`pow2` `cbrt-undiv` `swap-sqr` `div-exp` `associate-/r/` `unswap-sqr`
1×	`flip3-+` `associate-*l/` `flip-+` `div-inv`

Counts

4 → 140

Calls

4 calls:

25.0ms	(* (* e (cos v)) (* e (cos v)))
33.0ms	(* (* e (cos v)) (* e (cos v)))
526.0ms	(* (/ (sqrt e) (+ (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* 1.0 (* 1.0 1.0)))) (* (sqrt e) (sin v)))
19.0ms	(* (sqrt e) (sin v))

series447.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (* e (cos v)) (* e (cos v)))
73.0ms	(* (* e (cos v)) (* e (cos v)))
194.0ms	(* (/ (sqrt e) (+ (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* 1.0 (* 1.0 1.0)))) (* (sqrt e) (sin v)))
99.0ms	(* (sqrt e) (sin v))

simplify2.4s

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
2	3325
1	638
0	211

prune917.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite728.0ms

Algorithm

rewrite-expression-head

Rules

1956×	`times-frac`
863×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
690×	`sqrt-prod`
147×	`cube-unmult` `pow3` `sum-cubes`
106×	`associate-/r*`
82×	`pow1`
58×	`div-inv`
42×	`add-cbrt-cube` `add-exp-log`
34×	`pow-prod-down`
22×	`associate-/l*`
16×	`prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp`
8×	`pow-sqr` `pow-prod-up`
4×	`pow-plus` `add-log-exp`
2×	`pow2` `clear-num` `frac-2neg` `swap-sqr` `associate-r` `associate-l` `*-commutative`
1×	`associate-/r/` `associate-/l/`

Counts

4 → 924

Calls

4 calls:

32.0ms	(* (* e (cos v)) (* e (cos v)))
27.0ms	(* (* e (cos v)) (* e (cos v)))
240.0ms	(/ (sqrt e) (/ (/ (+ (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* 1.0 (* 1.0 1.0))) (sin v)) (sqrt e)))
318.0ms	(/ (/ (+ (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* 1.0 (* 1.0 1.0))) (sin v)) (sqrt e))

series579.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (* e (cos v)) (* e (cos v)))
84.0ms	(* (* e (cos v)) (* e (cos v)))
235.0ms	(/ (sqrt e) (/ (/ (+ (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* 1.0 (* 1.0 1.0))) (sin v)) (sqrt e)))
186.0ms	(/ (/ (+ (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* 1.0 (* 1.0 1.0))) (sin v)) (sqrt e))

simplify4.7s

Counts

936 → 936

Iterations

Iter	Nodes
done	5000
1	3314
0	1115

prune5.8s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes248.0ms

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

sample4.0s

Algorithm

intervals

Results

1.7s	1509×	body	1280	valid
719.0ms	1265×	body	640	valid
560.0ms	4275×	body	80	valid
285.0ms	639×	body	320	valid
273.0ms	8000×	pre	80	true
113.0ms	312×	body	160	valid