Details

sample142.0ms

Algorithm

intervals

Results

38.0ms	198×	body	80	valid
26.0ms	290×	body	80	nan
20.0ms	45×	body	1280	valid
9.0ms	29×	body	640	valid
5.0ms	7×	body	2560	valid
3.0ms	11×	body	320	valid
1.0ms	7×	body	160	valid

simplify5.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize20.0ms

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))
20.9b	(cos (- y (/ (* z t) 3.0)))

rewrite75.0ms

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:

9.0ms	(/ (* z t) 3.0)
40.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
8.0ms	(/ a (* b 3.0))
16.0ms	(cos (- y (/ (* z t) 3.0)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (* z t) 3.0)
105.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
20.0ms	(/ a (* b 3.0))
48.0ms	(cos (- y (/ (* z t) 3.0)))

simplify38.0ms

Counts: 84 → 84

prune354.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 13.6b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ a (* b 3.0))
0.3b	(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
0.4b	(/ t (cbrt 3.0))
20.6b	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
49×	`times-frac`
36×	`add-cube-cbrt` `*-un-lft-identity`
32×	`add-exp-log`
24×	`add-cbrt-cube`
23×	`cbrt-prod`
22×	`associate-r`
10×	`cbrt-undiv` `div-exp`
9×	`prod-exp` `cbrt-unprod`
7×	`associate-l` `associate-/r*`
6×	`pow1` `associate-/l*` `unswap-sqr`
4×	`div-inv` `add-log-exp`
2×	`cos-sum` `frac-2neg` `clear-num`
1×	`cos-diff` `frac-times` `sub-neg` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 129

Calls

4 calls:

8.0ms	(/ a (* b 3.0))
44.0ms	(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
12.0ms	(/ t (cbrt 3.0))
9.0ms	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

series303.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ a (* b 3.0))
97.0ms	(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
60.0ms	(/ t (cbrt 3.0))
120.0ms	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

simplify59.0ms

Counts: 141 → 141

prune701.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 13.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ a b) 3.0)
0.3b	(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
0.4b	(/ t (cbrt 3.0))
20.6b	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

121×	`times-frac`
92×	`add-sqr-sqrt`
76×	`add-cube-cbrt` `*-un-lft-identity`
32×	`add-exp-log`
24×	`add-cbrt-cube`
23×	`cbrt-prod`
22×	`associate-r`
16×	`associate-/l*`
11×	`cbrt-undiv` `div-exp`
9×	`associate-/r*`
8×	`prod-exp` `cbrt-unprod` `div-inv`
7×	`associate-l`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
2×	`cos-sum` `frac-2neg` `clear-num`
1×	`cos-diff` `frac-times` `sub-neg` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 178

Calls

4 calls:

11.0ms	(/ (/ a b) 3.0)
43.0ms	(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
12.0ms	(/ t (cbrt 3.0))
9.0ms	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

series289.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (/ a b) 3.0)
96.0ms	(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
58.0ms	(/ t (cbrt 3.0))
109.0ms	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

simplify75.0ms

Counts: 190 → 190

prune1.0s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 13.4b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 1 b) 3.0)
0.3b	(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
0.4b	(/ t (cbrt 3.0))
20.6b	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

rewrite359.0ms

Algorithm

rewrite-expression-head

Rules

121×	`times-frac`
92×	`add-sqr-sqrt`
76×	`add-cube-cbrt` `*-un-lft-identity`
36×	`add-exp-log`
24×	`add-cbrt-cube`
23×	`cbrt-prod`
22×	`associate-r`
16×	`associate-/l*`
14×	`div-exp`
11×	`cbrt-undiv`
9×	`associate-/r*`
8×	`prod-exp` `cbrt-unprod` `div-inv`
7×	`associate-l`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
2×	`cos-sum` `frac-2neg` `clear-num`
1×	`cos-diff` `frac-times` `sub-neg` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 180

Calls

4 calls:

12.0ms	(/ (/ 1 b) 3.0)
325.0ms	(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
6.0ms	(/ t (cbrt 3.0))
9.0ms	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

series290.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (/ 1 b) 3.0)
95.0ms	(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
65.0ms	(/ t (cbrt 3.0))
111.0ms	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

simplify78.0ms

Counts: 192 → 192

prune730.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 13.4b

regimes2.6s

Accuracy

54.4% (2.0b remaining)

Error of 18.3b against oracle of 16.3b and baseline of 20.7b

bsearch2.0ms

simplify1.0ms

end0.0ms

sample5.6s

Algorithm

intervals

Results

1.3s	9310×	body	80	nan
991.0ms	1644×	body	1280	valid
875.0ms	5609×	body	80	valid
711.0ms	366×	body	2560	valid
376.0ms	909×	body	640	valid
132.0ms	412×	body	320	valid
40.0ms	217×	body	160	valid