Details

sample443.0ms

Algorithm

intervals

Results

63.0ms	39×	body	640	valid
50.0ms	48×	body	1280	valid
25.0ms	134×	body	80	valid
10.0ms	256×	pre	80	true
9.0ms	19×	body	320	valid
7.0ms	16×	body	160	valid

simplify21.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
4	26
3	25
2	22
1	16
0	9

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1 (* e (cos v))))
0.1b	(* e (cos v))
0.1b	(* e (sin v))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
6×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l*`

Counts

3 → 68

Calls

3 calls:

16.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
8.0ms	(* e (cos v))
20.0ms	(* e (sin v))

series225.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
74.0ms	(* e (cos v))
51.0ms	(* e (sin v))

simplify1.6s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
2	966
1	288
0	120

prune331.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (fma e (cos v) 1) (sin v))
0.2b	(/ e (/ (fma e (cos v) 1) (sin v)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 103

Calls

2 calls:

5.0ms	(/ (fma e (cos v) 1) (sin v))
8.0ms	(/ e (/ (fma e (cos v) 1) (sin v)))

series205.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(/ (fma e (cos v) 1) (sin v))
106.0ms	(/ e (/ (fma e (cos v) 1) (sin v)))

simplify1.7s

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
2	1414
1	447
0	191

prune586.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
0.1b	(* e (cos v))
0.3b	(* (sqrt e) (sin v))
0.3b	(* (sqrt e) (* (sqrt e) (sin v)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`associate-l`
13×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-r` `sqrt-prod`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/r` `times-frac` `div-exp` `-commutative` `unswap-sqr`
2×	`associate-/r/`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 98

Calls

4 calls:

40.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
20.0ms	(* e (cos v))
10.0ms	(* (sqrt e) (sin v))
31.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

series399.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1 (* e (cos v))))
65.0ms	(* e (cos v))
118.0ms	(* (sqrt e) (sin v))
67.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

simplify2.0s

Counts

110 → 110

Iterations

Iter	Nodes
done	5135
2	1991
1	526
0	196

prune834.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (fma e (cos v) 1) (sin v))
0.3b	(/ (sqrt e) (/ (/ (fma e (cos v) 1) (sin v)) (sqrt e)))
0.3b	(/ (/ (fma e (cos v) 1) (sin v)) (sqrt e))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

1566×	`times-frac`
737×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
564×	`sqrt-prod`
91×	`associate-/r*`
59×	`div-inv`
22×	`associate-/l*`
19×	`add-cbrt-cube` `add-exp-log`
10×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/` `associate-/l/`

Counts

3 → 745

Calls

3 calls:

5.0ms	(/ (fma e (cos v) 1) (sin v))
12.0ms	(/ (sqrt e) (/ (/ (fma e (cos v) 1) (sin v)) (sqrt e)))
12.0ms	(/ (/ (fma e (cos v) 1) (sin v)) (sqrt e))

series396.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(/ (fma e (cos v) 1) (sin v))
124.0ms	(/ (sqrt e) (/ (/ (fma e (cos v) 1) (sin v)) (sqrt e)))
149.0ms	(/ (/ (fma e (cos v) 1) (sin v)) (sqrt e))

simplify2.9s

Counts

754 → 754

Iterations

Iter	Nodes
done	5000
1	2618
0	939

prune2.9s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes203.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	9

end0.0ms

sample5.3s

Algorithm

intervals

Results

1.9s	1547×	body	1280	valid
1.7s	1266×	body	640	valid
730.0ms	4253×	body	80	valid
414.0ms	8000×	pre	80	true
345.0ms	588×	body	320	valid
122.0ms	346×	body	160	valid