Details

sample207.0ms

Algorithm

intervals

Results

22.0ms	39×	body	1280	valid
15.0ms	38×	body	640	valid
10.0ms	143×	body	80	valid
5.0ms	256×	pre	80	true
4.0ms	19×	body	320	valid
3.0ms	17×	body	160	valid

simplify501.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
5	22
4	21
3	19
2	16
1	14
0	9

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

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:

24.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
13.0ms	(* e (cos v))
17.0ms	(* e (sin v))

series229.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
53.0ms	(* e (cos v))
67.0ms	(* e (sin v))

simplify2.4s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
3	4083
2	958
1	301
0	117

prune310.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

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

rewrite289.0ms

Algorithm

rewrite-expression-head

Rules

96×	`times-frac`
84×	`pow1`
57×	`add-sqr-sqrt`
55×	`*-un-lft-identity` `add-cube-cbrt`
35×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
17×	`prod-exp` `cbrt-unprod`
16×	`associate-/r*`
12×	`cube-unmult` `pow3` `sum-cubes`
8×	`pow-sqr` `pow-prod-up`
5×	`associate-r` `associate-l` `div-inv`
4×	`pow-plus` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `-commutative` `associate-/l`
2×	`pow2` `swap-sqr`
1×	`clear-num` `frac-2neg` `associate-/r/` `unswap-sqr`

Counts

4 → 168

Calls

4 calls:

7.0ms	(* (cos v) e)
39.0ms	(* (* (cos v) e) (* (cos v) e))
50.0ms	(* (* e (cos v)) (* e (cos v)))
185.0ms	(/ e (/ (+ (* (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)) (* 1.0 (* 1.0 1.0))) (sin v)))

series493.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (cos v) e)
91.0ms	(* (* (cos v) e) (* (cos v) e))
75.0ms	(* (* e (cos v)) (* e (cos v)))
266.0ms	(/ e (/ (+ (* (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)) (* 1.0 (* 1.0 1.0))) (sin v)))

simplify2.5s

Counts

180 → 180

Iterations

Iter	Nodes
done	5001
2	2681
1	761
0	282

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cos v) e)
0.1b	(* (* e (cos v)) (* e (cos v)))
0.1b	(* (* (cos v) e) (* (cos v) e))
0.2b	(/ (/ e (+ (* (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)) (* 1.0 (* 1.0 1.0)))) (/ 1 (sin v)))

rewrite458.0ms

Algorithm

rewrite-expression-head

Rules

573×	`times-frac`
253×	`add-sqr-sqrt`
251×	`*-un-lft-identity` `add-cube-cbrt`
84×	`pow1`
52×	`add-exp-log`
42×	`add-cbrt-cube` `cube-unmult` `pow3` `sum-cubes`
35×	`pow-prod-down`
34×	`div-inv`
29×	`associate-/r/`
18×	`associate-/l*`
17×	`prod-exp` `cbrt-unprod`
16×	`div-exp`
14×	`flip3-+` `flip-+`
13×	`associate-/r*`
8×	`cbrt-undiv` `pow-sqr` `pow-prod-up`
5×	`associate-r` `associate-l`
4×	`pow-plus` `add-log-exp`
3×	`*-commutative`
2×	`pow2` `rec-exp` `1-exp` `swap-sqr`
1×	`clear-num` `frac-2neg` `unswap-sqr` `associate-/l/`

Counts

4 → 375

Calls

4 calls:

9.0ms	(* (cos v) e)
51.0ms	(* (* e (cos v)) (* e (cos v)))
32.0ms	(* (* (cos v) e) (* (cos v) e))
344.0ms	(/ (/ e (+ (* (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)) (* 1.0 (* 1.0 1.0)))) (/ 1 (sin v)))

series448.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (cos v) e)
68.0ms	(* (* e (cos v)) (* e (cos v)))
63.0ms	(* (* (cos v) e) (* (cos v) e))
265.0ms	(/ (/ e (+ (* (* (* (cos v) e) (* (cos v) e)) (* (cos v) e)) (* 1.0 (* 1.0 1.0)))) (/ 1 (sin v)))

simplify2.2s

Counts

387 → 387

Iterations

Iter	Nodes
done	5000
1	2155
0	649

prune2.8s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize24.0ms

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))

rewrite147.0ms

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:

54.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
13.0ms	(* e (cos v))
45.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
30.0ms	(* (sqrt e) (sin v))

series423.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
66.0ms	(* e (cos v))
87.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
99.0ms	(* (sqrt e) (sin v))

simplify1.9s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
2	1898
1	523
0	190

prune626.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes287.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.6s	1507×	body	1280	valid
1.1s	1274×	body	640	valid
406.0ms	4271×	body	80	valid
227.0ms	617×	body	320	valid
199.0ms	8000×	pre	80	true
104.0ms	331×	body	160	valid