Details

sample378.0ms

Algorithm

intervals

Results

33.0ms	40×	body	640	valid
22.0ms	52×	body	1280	valid
9.0ms	138×	body	80	valid
4.0ms	256×	pre	80	true
4.0ms	20×	body	320	valid
1.0ms	6×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	14	6
1	20	5
2	23	5
3	24	5
4	24	5
done	24	5

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.1b	(* e (sin v))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

15.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
8.0ms	(* e (cos v))
11.0ms	(* e (sin v))

series190.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
37.0ms	(* e (cos v))
58.0ms	(* e (sin v))

simplify43.0ms

Counts

74 → 74

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	303	422
1	1415	368
2	5001	362
done	5001	362

prune174.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* e (cos v))
0.1b	(/ (+ 1.0 (* e (cos v))) (sin v))
0.3b	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 123

Calls

3 calls:

9.0ms	(* e (cos v))
23.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
14.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series204.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* e (cos v))
74.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
90.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify65.0ms

Counts

132 → 132

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	530	1326
1	2377	1222
2	5001	1212
done	5001	1212

prune338.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sqrt e) (fma (cos v) e 1.0))
0.2b	(* (/ (sqrt e) (fma (cos v) e 1.0)) (* (sqrt e) (sin v)))
0.3b	(* (sqrt e) (sin v))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
36×	`times-frac`
34×	`add-cube-cbrt` `*-un-lft-identity`
28×	`associate-l`
25×	`sqrt-prod`
19×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-/l*`
4×	`associate-r` `pow-prod-down`
3×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-*l/` `clear-num`

Counts

3 → 109

Calls

3 calls:

6.0ms	(/ (sqrt e) (fma (cos v) e 1.0))
41.0ms	(* (/ (sqrt e) (fma (cos v) e 1.0)) (* (sqrt e) (sin v)))
12.0ms	(* (sqrt e) (sin v))

series285.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(/ (sqrt e) (fma (cos v) e 1.0))
110.0ms	(* (/ (sqrt e) (fma (cos v) e 1.0)) (* (sqrt e) (sin v)))
79.0ms	(* (sqrt e) (sin v))

simplify74.0ms

Counts

118 → 118

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	624	1087
1	2722	937
2	5001	920
done	5001	920

prune303.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt e))
0.2b	(* (/ (sqrt e) (fma (cos v) e 1.0)) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
0.3b	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))
0.3b	(* (sqrt (sqrt e)) (sin v))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

40×	`associate-l` `sqrt-prod`
34×	`add-sqr-sqrt`
32×	`add-exp-log` `add-cbrt-cube`
26×	`add-cube-cbrt` `*-un-lft-identity`
22×	`pow1`
18×	`times-frac`
16×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
5×	`associate-r`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2`
1×	`associate-*l/` `div-inv`

Counts

4 → 124

Calls

4 calls:

2.0ms	(sqrt (sqrt e))
108.0ms	(* (/ (sqrt e) (fma (cos v) e 1.0)) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
39.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))
16.0ms	(* (sqrt (sqrt e)) (sin v))

series420.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(sqrt (sqrt e))
108.0ms	(* (/ (sqrt e) (fma (cos v) e 1.0)) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
73.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))
102.0ms	(* (sqrt (sqrt e)) (sin v))

simplify80.0ms

Counts

136 → 136

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	687	1221
1	3133	993
2	5001	944
done	5001	944

prune347.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6
done	12	6

end0.0ms

sample1.7s

Algorithm

intervals

Results

641.0ms	1476×	body	1280	valid
344.0ms	1308×	body	640	valid
246.0ms	4349×	body	80	valid
106.0ms	593×	body	320	valid
98.0ms	8000×	pre	80	true
35.0ms	274×	body	160	valid