Details

sample102.0ms

Algorithm

intervals

Results

23.0ms	58×	body	1280	valid
18.0ms	273×	body	80	nan
13.0ms	167×	body	80	valid
10.0ms	16×	body	2560	valid
8.0ms	31×	body	640	valid
1.0ms	8×	body	160	valid
1.0ms	5×	body	320	valid

simplify42.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	19
1	32	19
2	54	19
3	74	19
4	87	19
5	90	19
done	90	19

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.5b

localize17.0ms

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))))
0.2b	(/ a (* b 3.0))
21.5b	(cos (- y (/ (* z t) 3.0)))

rewrite27.0ms

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:

3.0ms	(/ (* z t) 3.0)
11.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
3.0ms	(/ a (* b 3.0))
8.0ms	(cos (- y (/ (* z t) 3.0)))

series156.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (* z t) 3.0)
87.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
17.0ms	(/ a (* b 3.0))
36.0ms	(cos (- y (/ (* z t) 3.0)))

simplify790.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (129.0ms)

Iter	Nodes	Cost
0	170	993
1	404	961
2	1373	813
done	5001	813

prune352.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 15.8b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin y) (sin (/ (* z t) 3.0)))
1.7b	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
26.3b	(cos (/ (* z t) 3.0))
26.4b	(sin (/ (* z t) 3.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `associate-l` `add-log-exp`
2×	`*-commutative` `sin-mult`
1×	`associate-*l/` `unswap-sqr`

Counts

4 → 56

Calls

4 calls:

5.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
15.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
1.0ms	(cos (/ (* z t) 3.0))
1.0ms	(sin (/ (* z t) 3.0))

series201.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
137.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
9.0ms	(cos (/ (* z t) 3.0))
15.0ms	(sin (/ (* z t) 3.0))

simplify1.9s

Counts

68 → 68

Iterations

Useful iterations: 3 (528.0ms)

Iter	Nodes	Cost
0	98	987
1	223	954
2	722	770
3	3566	764
done	5000	764

prune384.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 15.6b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin (* 0.3333333333333333 (* t z))) (sin y))
1.6b	(* (* (sin (* 0.3333333333333333 (* t z))) (sin y)) (* 2.0 (sqrt x)))
26.3b	(cos (/ (* z t) 3.0))
26.8b	(sin (* 0.3333333333333333 (* t z)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `associate-l` `add-log-exp`
2×	`*-commutative` `sin-mult`
1×	`associate-*l/` `unswap-sqr`

Counts

4 → 56

Calls

4 calls:

8.0ms	(* (sin (* 0.3333333333333333 (* t z))) (sin y))
25.0ms	(* (* (sin (* 0.3333333333333333 (* t z))) (sin y)) (* 2.0 (sqrt x)))
1.0ms	(cos (/ (* z t) 3.0))
4.0ms	(sin (* 0.3333333333333333 (* t z)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (sin (* 0.3333333333333333 (* t z))) (sin y))
141.0ms	(* (* (sin (* 0.3333333333333333 (* t z))) (sin y)) (* 2.0 (sqrt x)))
9.0ms	(cos (/ (* z t) 3.0))
17.0ms	(sin (* 0.3333333333333333 (* t z)))

simplify1.9s

Counts

68 → 68

Iterations

Useful iterations: 3 (495.0ms)

Iter	Nodes	Cost
0	97	983
1	220	950
2	716	766
3	3569	760
done	5000	760

prune394.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 15.6b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* 2.0 (sqrt x)))
1.6b	(* (* (sin (* 0.3333333333333333 (* t z))) (sin y)) (* 2.0 (sqrt x)))
26.6b	(cos (* 0.3333333333333333 (* t z)))
26.8b	(sin (* 0.3333333333333333 (* t z)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

22.0ms	(* (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* 2.0 (sqrt x)))
23.0ms	(* (* (sin (* 0.3333333333333333 (* t z))) (sin y)) (* 2.0 (sqrt x)))
4.0ms	(cos (* 0.3333333333333333 (* t z)))
6.0ms	(sin (* 0.3333333333333333 (* t z)))

series329.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* 2.0 (sqrt x)))
141.0ms	(* (* (sin (* 0.3333333333333333 (* t z))) (sin y)) (* 2.0 (sqrt x)))
10.0ms	(cos (* 0.3333333333333333 (* t z)))
16.0ms	(sin (* 0.3333333333333333 (* t z)))

simplify502.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	122	1266
1	322	1206
2	1177	934
done	5001	934

prune261.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 15.6b

regimes2.7s

Accuracy

57.3% (1.6b remaining)

Error of 17.8b against oracle of 16.3b and baseline of 19.9b

bsearch3.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	97
1	56	97
done	56	97

end0.0ms

sample3.1s

Algorithm

intervals

Results

804.0ms	9032×	body	80	nan
659.0ms	1642×	body	1280	valid
351.0ms	5548×	body	80	valid
256.0ms	931×	body	640	valid
238.0ms	352×	body	2560	valid
83.0ms	406×	body	320	valid
28.0ms	197×	body	160	valid