Details

sample66.0ms

Algorithm

intervals

Results

18.0ms	39×	body	1280	valid
12.0ms	219×	body	80	valid
11.0ms	39×	body	640	valid
7.0ms	21×	body	320	valid
1.0ms	10×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (cos im))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`add-exp-log`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

20.0ms

(* (exp re) (cos im))

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

(* (exp re) (cos im))

simplify2.3s

Counts

23 → 23

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	40	169
1	88	165
2	361	147
3	2568	145
done	5000	144

prune55.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp re))
0.0b	(sqrt (exp re))
0.0b	(* (sqrt (exp re)) (cos im))
0.0b	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
12×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

4.0ms	(sqrt (exp re))
5.0ms	(sqrt (exp re))
29.0ms	(* (sqrt (exp re)) (cos im))
70.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

series154.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sqrt (exp re))
19.0ms	(sqrt (exp re))
68.0ms	(* (sqrt (exp re)) (cos im))
51.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

simplify809.0ms

Counts

95 → 95

Iterations

Useful iterations: done (806.0ms)

Iter	Nodes	Cost
0	81	775
1	169	716
2	670	571
done	5000	554

prune241.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (sqrt (exp re)))
0.0b	(cbrt (sqrt (exp re)))
0.0b	(cbrt (sqrt (exp re)))
0.0b	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
44×	`add-sqr-sqrt`
29×	`sqrt-prod`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 106

Calls

4 calls:

5.0ms	(cbrt (sqrt (exp re)))
5.0ms	(cbrt (sqrt (exp re)))
5.0ms	(cbrt (sqrt (exp re)))
39.0ms	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))

series365.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (sqrt (exp re)))
82.0ms	(cbrt (sqrt (exp re)))
83.0ms	(cbrt (sqrt (exp re)))
106.0ms	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))

simplify1.1s

Counts

118 → 118

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	78	1240
1	149	1117
2	755	1059
done	5000	1028

prune359.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))))
0.0b	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))
0.0b	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))
0.0b	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

121×	`cbrt-prod`
106×	`add-sqr-sqrt`
60×	`sqrt-prod`
40×	`add-cube-cbrt` `*-un-lft-identity`
33×	`swap-sqr`
27×	`associate-r` `associate-l` `unswap-sqr`
25×	`pow1`
19×	`pow1/3`
10×	`add-exp-log`
6×	`pow-prod-down` `pow-sqr` `pow-prod-up`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 185

Calls

4 calls:

13.0ms	(cbrt (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))))
22.0ms	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))
25.0ms	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))
27.0ms	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))

series435.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(cbrt (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))))
112.0ms	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))
114.0ms	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))
111.0ms	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))

simplify1.1s

Counts

197 → 197

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	82	2612
1	152	2314
2	696	2192
done	5000	2131

prune528.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample2.4s

Algorithm

intervals

Results

747.0ms	1292×	body	640	valid
733.0ms	1504×	body	1280	valid
405.0ms	6894×	body	80	valid
92.0ms	603×	body	320	valid
84.0ms	310×	body	160	valid