Details

sample170.0ms

Algorithm

intervals

Results

30.0ms	278×	body	80	nan
29.0ms	52×	body	1280	valid
27.0ms	13×	body	320	valid
15.0ms	166×	body	80	valid
15.0ms	16×	body	2560	valid
11.0ms	29×	body	640	valid
2.0ms	8×	body	160	valid

simplify53.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	86
6	86
5	84
4	78
3	67
2	50
1	32
0	18

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.5b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.3b	(/ a (* b 3.0))
22.0b	(cos (- y (/ (* z t) 3.0)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cube-cbrt`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-/r` `div-exp` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`cos-sum` `clear-num` `frac-2neg` `div-inv`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

11.0ms	(/ (* z t) 3.0)
39.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
9.0ms	(/ a (* b 3.0))
18.0ms	(cos (- y (/ (* z t) 3.0)))

series242.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (* z t) 3.0)
139.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
26.0ms	(/ a (* b 3.0))
50.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.2s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1364
1	422
0	170

prune722.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 16.9b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ z (/ 3.0 t))
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ z (/ 3.0 t)))))
0.3b	(/ a (* b 3.0))
21.7b	(cos (- y (/ z (/ 3.0 t))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
49×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
14×	`associate-/r*`
9×	`pow1`
6×	`div-inv` `associate-/l*`
5×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`cos-sum` `clear-num` `frac-2neg`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `associate-/r/` `*-commutative`

Counts

4 → 121

Calls

4 calls:

7.0ms	(/ z (/ 3.0 t))
24.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ z (/ 3.0 t)))))
9.0ms	(/ a (* b 3.0))
55.0ms	(cos (- y (/ z (/ 3.0 t))))

series228.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ z (/ 3.0 t))
139.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ z (/ 3.0 t)))))
24.0ms	(/ a (* b 3.0))
39.0ms	(cos (- y (/ z (/ 3.0 t))))

simplify1.6s

Counts

133 → 133

Iterations

Iter	Nodes
done	5001
2	1976
1	661
0	270

prune1.2s

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 16.6b

localize72.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ a (* b 3.0))
2.9b	(* (* (sin y) (sin (/ z (/ 3.0 t)))) (* 2.0 (sqrt x)))
26.8b	(cos (/ z (/ 3.0 t)))
27.2b	(sin (/ z (/ 3.0 t)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-cbrt-cube` `add-exp-log`
16×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`pow-prod-down`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-r` `associate-l` `associate-l/` `*-commutative` `div-inv` `sin-mult`

Counts

4 → 58

Calls

4 calls:

9.0ms	(/ a (* b 3.0))
58.0ms	(* (* (sin y) (sin (/ z (/ 3.0 t)))) (* 2.0 (sqrt x)))
7.0ms	(cos (/ z (/ 3.0 t)))
7.0ms	(sin (/ z (/ 3.0 t)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ a (* b 3.0))
180.0ms	(* (* (sin y) (sin (/ z (/ 3.0 t)))) (* 2.0 (sqrt x)))
16.0ms	(cos (/ z (/ 3.0 t)))
24.0ms	(sin (/ z (/ 3.0 t)))

simplify2.5s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
3	3915
2	976
1	300
0	132

prune924.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 16.5b

localize363.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cos y) (cos (/ z (/ 3.0 t)))) (* 2.0 (sqrt x)))
2.9b	(* (* (sin y) (sin (/ z (/ 3.0 t)))) (* 2.0 (sqrt x)))
26.8b	(cos (/ z (/ 3.0 t)))
27.2b	(sin (/ z (/ 3.0 t)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
2×	`associate-r` `associate-l` `associate-l/` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 60

Calls

4 calls:

30.0ms	(* (* (cos y) (cos (/ z (/ 3.0 t)))) (* 2.0 (sqrt x)))
56.0ms	(* (* (sin y) (sin (/ z (/ 3.0 t)))) (* 2.0 (sqrt x)))
10.0ms	(cos (/ z (/ 3.0 t)))
10.0ms	(sin (/ z (/ 3.0 t)))

series456.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(* (* (cos y) (cos (/ z (/ 3.0 t)))) (* 2.0 (sqrt x)))
199.0ms	(* (* (sin y) (sin (/ z (/ 3.0 t)))) (* 2.0 (sqrt x)))
13.0ms	(cos (/ z (/ 3.0 t)))
18.0ms	(sin (/ z (/ 3.0 t)))

simplify1.6s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	1209
1	316
0	124

prune602.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 16.4b

regimes6.5s

Accuracy

55.4% (1.8b remaining)

Error of 17.9b against oracle of 16.1b and baseline of 20.1b

bsearch4.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	55
1	55
0	41

end0.0ms

sample6.2s

Algorithm

intervals

Results

1.5s	1579×	body	1280	valid
1.3s	9156×	body	80	nan
1.0s	5590×	body	80	valid
569.0ms	917×	body	640	valid
440.0ms	444×	body	320	valid
370.0ms	368×	body	2560	valid
77.0ms	214×	body	160	valid