Details

sample225.0ms

Algorithm

intervals

Results

71.0ms	314×	body	80	nan
34.0ms	52×	body	1280	valid
23.0ms	186×	body	80	valid
15.0ms	15×	body	2560	valid
13.0ms	27×	body	640	valid
4.0ms	10×	body	320	valid
1.0ms	5×	body	160	valid

simplify5.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.1b

localize28.0ms

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))
27.5b	(cos (- y (/ (* z t) 3.0)))

rewrite374.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`cos-sum` `frac-2neg` `clear-num` `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)
323.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
12.0ms	(/ a (* b 3.0))
25.0ms	(cos (- y (/ (* z t) 3.0)))

series241.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (* z t) 3.0)
139.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
36.0ms	(/ a (* b 3.0))
46.0ms	(cos (- y (/ (* z t) 3.0)))

simplify49.0ms

Counts: 84 → 84

prune448.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 18.2b

localize38.0ms

Local error

Found 4 expressions with local error:

15.0b	(cbrt (/ (* z t) 3.0))
15.0b	(cbrt (/ (* z t) 3.0))
15.0b	(cbrt (/ (* z t) 3.0))
27.4b	(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div` `pow1/3` `div-inv`
2×	`cos-sum`
1×	`cos-diff` `sub-neg`

Counts

4 → 58

Calls

4 calls:

4.0ms	(cbrt (/ (* z t) 3.0))
5.0ms	(cbrt (/ (* z t) 3.0))
5.0ms	(cbrt (/ (* z t) 3.0))
14.0ms	(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

series518.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (/ (* z t) 3.0))
127.0ms	(cbrt (/ (* z t) 3.0))
136.0ms	(cbrt (/ (* z t) 3.0))
125.0ms	(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

simplify46.0ms

Counts: 70 → 70

prune615.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 17.9b

localize56.0ms

Local error

Found 4 expressions with local error:

15.0b	(cbrt (/ (* z t) 3.0))
15.0b	(cbrt (/ (* z t) 3.0))
31.7b	(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
32.1b	(sin (/ (* z t) 3.0))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`cbrt-div` `pow1/3` `div-inv`

Counts

4 → 46

Calls

4 calls:

5.0ms	(cbrt (/ (* z t) 3.0))
5.0ms	(cbrt (/ (* z t) 3.0))
27.0ms	(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
11.0ms	(sin (/ (* z t) 3.0))

series347.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt (/ (* z t) 3.0))
130.0ms	(cbrt (/ (* z t) 3.0))
64.0ms	(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
24.0ms	(sin (/ (* z t) 3.0))

simplify36.0ms

Counts: 58 → 58

prune684.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 17.8b

localize77.0ms

Local error

Found 4 expressions with local error:

15.0b	(cbrt (/ (* z t) 3.0))
15.0b	(cbrt (/ (* z t) 3.0))
31.7b	(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
32.4b	(sin (* (/ 6004799503160661.0 18014398509481984.0) (* t z)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`cbrt-div` `pow1/3` `div-inv`

Counts

4 → 46

Calls

4 calls:

6.0ms	(cbrt (/ (* z t) 3.0))
6.0ms	(cbrt (/ (* z t) 3.0))
35.0ms	(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
35.0ms	(sin (* (/ 6004799503160661.0 18014398509481984.0) (* t z)))

series379.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (/ (* z t) 3.0))
140.0ms	(cbrt (/ (* z t) 3.0))
66.0ms	(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
31.0ms	(sin (* (/ 6004799503160661.0 18014398509481984.0) (* t z)))

simplify41.0ms

Counts: 58 → 58

prune549.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 17.8b

regimes4.0s

Accuracy

58.4% (1.7b remaining)

Error of 17.8b against oracle of 16.1b and baseline of 20.2b

bsearch3.0ms

simplify86.0ms

end0.0ms

sample7.1s

Algorithm

intervals

Results

1.8s	9318×	body	80	nan
1.4s	1603×	body	1280	valid
1.1s	5704×	body	80	valid
697.0ms	362×	body	2560	valid
419.0ms	927×	body	640	valid
176.0ms	432×	body	320	valid
46.0ms	215×	body	160	valid