Details

sample190.0ms

Algorithm

intervals

Results

45.0ms	12×	body	2560	valid
35.0ms	305×	body	80	nan
27.0ms	49×	body	1280	valid
18.0ms	191×	body	80	valid
9.0ms	21×	body	640	valid
5.0ms	16×	body	320	valid
1.0ms	6×	body	160	valid

simplify128.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	19
1	33	19
2	58	19
3	82	19
4	100	19
5	108	19
6	110	19
done	110	19

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
25.9b	(cos (- y (/ (* z t) 3.0)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cos-sum`
22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`prod-diff`
19×	`add-exp-log` `add-cbrt-cube`
15×	`times-frac`
9×	`pow1`
5×	`prod-exp` `cbrt-unprod` `div-inv`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 101

Calls

4 calls:

17.0ms	(/ (* z t) 3.0)
12.0ms	(/ a (* b 3.0))
50.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
44.0ms	(cos (- y (/ (* z t) 3.0)))

series242.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (* z t) 3.0)
25.0ms	(/ a (* b 3.0))
139.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
46.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.6s

Counts

113 → 113

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	327	2847
1	711	2399
2	2913	1885
done	5000	1822

prune579.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 16.4b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
0.2b	(* (sin y) (sin (/ (* z t) 3.0)))
30.5b	(cos (/ (* z t) 3.0))
31.1b	(sin (/ (* z t) 3.0))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`associate-*r/`
2×	`*-commutative` `sin-mult`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `frac-add` `cos-mult` `flip-+` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

70.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
22.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
5.0ms	(cos (/ (* z t) 3.0))
5.0ms	(sin (/ (* z t) 3.0))

series431.0ms

Counts

4 → 12

Calls

4 calls:

315.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
73.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
17.0ms	(cos (/ (* z t) 3.0))
26.0ms	(sin (/ (* z t) 3.0))

simplify1.5s

Counts

76 → 76

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	144	1427
1	398	1358
2	2186	1185
done	5000	1174

prune655.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 16.3b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.2b	(* (sin y) (sin (/ (* z t) 3.0)))
30.5b	(cos (* 0.3333333333333333 (* t z)))
31.1b	(sin (/ (* z t) 3.0))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-r` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `sin-mult` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

8.0ms	(/ a (* b 3.0))
20.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
26.0ms	(cos (* 0.3333333333333333 (* t z)))
4.0ms	(sin (/ (* z t) 3.0))

series119.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ a (* b 3.0))
60.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
16.0ms	(cos (* 0.3333333333333333 (* t z)))
23.0ms	(sin (/ (* z t) 3.0))

simplify3.1s

Counts

74 → 74

Iterations

Useful iterations: 3 (753.0ms)

Iter	Nodes	Cost
0	110	683
1	210	677
2	674	589
3	3959	586
done	5000	586

prune681.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 16.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin (* 0.3333333333333333 (* t z))) (sin y))
0.2b	(/ a (* b 3.0))
30.5b	(cos (* 0.3333333333333333 (* t z)))
30.8b	(sin (* 0.3333333333333333 (* t z)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-r` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `sin-mult` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

61.0ms	(* (sin (* 0.3333333333333333 (* t z))) (sin y))
8.0ms	(/ a (* b 3.0))
21.0ms	(cos (* 0.3333333333333333 (* t z)))
33.0ms	(sin (* 0.3333333333333333 (* t z)))

series125.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (sin (* 0.3333333333333333 (* t z))) (sin y))
23.0ms	(/ a (* b 3.0))
12.0ms	(cos (* 0.3333333333333333 (* t z)))
23.0ms	(sin (* 0.3333333333333333 (* t z)))

simplify3.5s

Counts

74 → 74

Iterations

Useful iterations: 3 (770.0ms)

Iter	Nodes	Cost
0	107	683
1	208	676
2	675	588
3	3856	586
done	5001	586

prune507.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 16.3b

regimes3.9s

Accuracy

49.4% (2.0b remaining)

Error of 18.2b against oracle of 16.3b and baseline of 20.1b

bsearch4.0ms

simplify11.0ms

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	40	78
1	53	62
done	53	62

end0.0ms

sample8.4s

Algorithm

intervals

Results

2.0s	1570×	body	1280	valid
1.9s	9370×	body	80	nan
1.5s	5645×	body	80	valid
579.0ms	917×	body	640	valid
463.0ms	375×	body	2560	valid
255.0ms	432×	body	320	valid
55.0ms	205×	body	160	valid