Details

sample260.0ms

Algorithm

intervals

Results

101.0ms	85×	body	1280	valid
97.0ms	65×	body	2560	valid
17.0ms	32×	body	640	valid
8.0ms	63×	body	80	valid
4.0ms	1×	body	5120	valid
3.0ms	8×	body	320	valid
1.0ms	2×	body	160	valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	27
1	42	27
2	98	27
3	223	27
4	460	27
5	798	27
6	1063	27
7	1248	27
8	1338	27
9	1494	27
10	1506	27
done	1506	27

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.0b

localize45.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (* (+ (* a 2.0) 1.0) b) t)
2.5b	(* (* (+ (* y 2.0) 1.0) z) t)
35.1b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
36.6b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 54

Calls

4 calls:

67.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
41.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
8.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
9.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series177.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
45.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
41.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
44.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify1.7s

Counts

66 → 66

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	138	888
1	379	878
2	2463	728
done	5001	718

prune511.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 41.3b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
0.2b	(/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)
2.2b	(* (* (+ (* a 2.0) 1.0) b) t)
36.6b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
14×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l/`
6×	`associate-r` `pow-prod-down`
4×	`add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r*`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 70

Calls

4 calls:

20.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
45.0ms	(/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)
53.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
9.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series267.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
55.0ms	(/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)
54.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
57.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify2.0s

Counts

82 → 82

Iterations

Useful iterations: 2 (496.0ms)

Iter	Nodes	Cost
0	152	1381
1	424	1281
2	3175	995
done	5001	995

prune497.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 39.3b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune139.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 39.3b

localize25.0ms

Local error

Found 4 expressions with local error:

16.6b	(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
16.6b	(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
16.6b	(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
36.3b	(cos (/ (* (* (cbrt (* (* (+ (* a 2.0) 1.0) b) t)) (cbrt (* (* (+ (* a 2.0) 1.0) b) t))) (cbrt (* (* (+ (* a 2.0) 1.0) b) t))) 16.0))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*l/`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `flip3-+` `pow1/3` `flip-+`

Counts

4 → 40

Calls

4 calls:

33.0ms	(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
32.0ms	(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
39.0ms	(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
4.0ms	(cos (/ (* (* (cbrt (* (* (+ (* a 2.0) 1.0) b) t)) (cbrt (* (* (+ (* a 2.0) 1.0) b) t))) (cbrt (* (* (+ (* a 2.0) 1.0) b) t))) 16.0))

series503.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
154.0ms	(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
155.0ms	(cbrt (* (* (+ (* a 2.0) 1.0) b) t))
42.0ms	(cos (/ (* (* (cbrt (* (* (+ (* a 2.0) 1.0) b) t)) (cbrt (* (* (+ (* a 2.0) 1.0) b) t))) (cbrt (* (* (+ (* a 2.0) 1.0) b) t))) 16.0))

simplify1.6s

Counts

52 → 52

Iterations

Useful iterations: 3 (584.0ms)

Iter	Nodes	Cost
0	119	1474
1	268	1441
2	826	1133
3	4133	1025
done	5000	1025

prune324.0ms

Pruning

38 alts after pruning (37 fresh and 1 done)

Merged error: 39.1b

regimes2.6s

Accuracy

0% (4.5b remaining)

Error of 44.0b against oracle of 39.5b and baseline of 44.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	7	11
1	10	5
2	15	1
done	15	1

end0.0ms

sample8.1s

Algorithm

intervals

Results

3.1s	1782×	body	2560	valid
2.5s	2230×	body	1280	valid
1.1s	1207×	body	640	valid
446.0ms	1950×	body	80	valid
257.0ms	541×	body	320	valid
120.0ms	43×	body	5120	valid
60.0ms	247×	body	160	valid