Details

sample162.0ms

Algorithm

intervals

Results

62.0ms	56×	body	2560	valid
49.0ms	81×	body	1280	valid
14.0ms	35×	body	640	valid
6.0ms	14×	body	160	valid
5.0ms	59×	body	80	valid
3.0ms	11×	body	320	valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	23	27
1	44	25
2	100	25
3	211	25
4	385	25
5	608	25
6	850	25
7	1114	25
8	1224	25
9	1298	25
10	1326	25
done	1326	25

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.3b

localize24.0ms

Local error

Found 4 expressions with local error:

2.5b	(* (* (+ (* y 2.0) 1.0) z) t)
3.3b	(* (* (+ (* a 2.0) 1.0) b) t)
35.0b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.7b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite39.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 62

Calls

4 calls:

16.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
18.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series175.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
45.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
41.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
40.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify718.0ms

Counts

74 → 74

Iterations

Useful iterations: 2 (155.0ms)

Iter	Nodes	Cost
0	146	980
1	382	886
2	1515	744
done	5001	744

prune436.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 41.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* y 2.0) 1.0) z)
0.2b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
2.5b	(* (* (+ (* y 2.0) 1.0) z) t)
35.7b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
7×	`associate-l`
6×	`associate-*l/`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

11.0ms	(* (+ (* y 2.0) 1.0) z)
3.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
16.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series206.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (+ (* y 2.0) 1.0) z)
78.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
48.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
39.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify2.4s

Counts

85 → 85

Iterations

Useful iterations: 2 (110.0ms)

Iter	Nodes	Cost
0	126	1149
1	296	1040
2	1093	880
3	4425	880
done	5000	880

prune494.0ms

Pruning

36 alts after pruning (36 fresh and 0 done)

Merged error: 39.9b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune151.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 39.9b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(* (* (* (cbrt t) (cbrt t)) (* z (fma 2.0 y 1.0))) (cbrt t))
2.1b	(* (* (cbrt t) (cbrt t)) (* z (fma 2.0 y 1.0)))
35.9b	(cos (/ (* (* (* (cbrt t) (cbrt t)) (* z (fma 2.0 y 1.0))) (cbrt t)) 16.0))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`cbrt-prod`
4×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `fma-udef` `log1p-expm1-u` `add-log-exp`
2×	`associate-l` `*-commutative`
1×	`pow1/3`

Counts

4 → 82

Calls

4 calls:

1.0ms	(cbrt t)
57.0ms	(* (* (* (cbrt t) (cbrt t)) (* z (fma 2.0 y 1.0))) (cbrt t))
16.0ms	(* (* (cbrt t) (cbrt t)) (* z (fma 2.0 y 1.0)))
2.0ms	(cos (/ (* (* (* (cbrt t) (cbrt t)) (* z (fma 2.0 y 1.0))) (cbrt t)) 16.0))

series587.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt t)
88.0ms	(* (* (* (cbrt t) (cbrt t)) (* z (fma 2.0 y 1.0))) (cbrt t))
263.0ms	(* (* (cbrt t) (cbrt t)) (* z (fma 2.0 y 1.0)))
48.0ms	(cos (/ (* (* (* (cbrt t) (cbrt t)) (* z (fma 2.0 y 1.0))) (cbrt t)) 16.0))

simplify598.0ms

Counts

94 → 94

Iterations

Useful iterations: 2 (138.0ms)

Iter	Nodes	Cost
0	146	1551
1	373	1510
2	1445	1036
done	5000	1036

prune358.0ms

Pruning

50 alts after pruning (49 fresh and 1 done)

Merged error: 39.5b

regimes3.0s

Accuracy

0% (4.7b remaining)

Error of 44.2b against oracle of 39.4b and baseline of 44.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	9	11
done	9	11

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.0s	1850×	body	2560	valid
1.3s	2321×	body	1280	valid
425.0ms	1129×	body	640	valid
165.0ms	1885×	body	80	valid
131.0ms	503×	body	320	valid
116.0ms	47×	body	5120	valid
46.0ms	265×	body	160	valid