Details

sample68.0ms

Algorithm

intervals

Results

20.0ms	39×	body	1280	valid
13.0ms	219×	body	80	valid
11.0ms	39×	body	640	valid
4.0ms	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

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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:

23.0ms

(* (exp re) (sin im))

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

(* (exp re) (sin im))

simplify2.1s

Counts

23 → 23

Iterations

Useful iterations: 3 (393.0ms)

Iter	Nodes	Cost
0	42	173
1	97	168
2	383	150
3	2386	146
done	5001	146

prune64.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite132.0ms

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:

5.0ms	(sqrt (exp re))
5.0ms	(sqrt (exp re))
36.0ms	(* (sqrt (exp re)) (sin im))
81.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series148.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
57.0ms	(* (sqrt (exp re)) (sin im))
64.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify937.0ms

Counts

95 → 95

Iterations

Useful iterations: done (934.0ms)

Iter	Nodes	Cost
0	87	783
1	192	722
2	790	576
done	5001	556

prune283.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

73×	`sqrt-prod`
72×	`sqrt-pow1`
62×	`add-sqr-sqrt`
42×	`pow1`
27×	`add-cube-cbrt` `*-un-lft-identity`
21×	`exp-prod`
20×	`add-exp-log` `add-cbrt-cube`
17×	`pow1/2` `pow-prod-down`
16×	`associate-l`
15×	`swap-sqr`
13×	`associate-r`
12×	`pow-prod-up`
11×	`unswap-sqr`
10×	`prod-exp` `cbrt-unprod`
8×	`pow-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 152

Calls

4 calls:

5.0ms	(sqrt (exp re))
21.0ms	(* (sqrt (exp re)) (sin im))
34.0ms	(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))
138.0ms	(* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (* (sqrt (exp re)) (sin im)))

series145.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sqrt (exp re))
66.0ms	(* (sqrt (exp re)) (sin im))
14.0ms	(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))
45.0ms	(* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (* (sqrt (exp re)) (sin im)))

simplify2.0s

Counts

164 → 164

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	165	2039
1	376	1210
2	1969	970
done	5000	928

prune493.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (sin im))
0.1b	(expm1 (* (exp re) (sin im)))
0.1b	(log1p (expm1 (* (exp re) (sin im))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

28.0ms	(* (exp re) (sin im))
1.0ms	(expm1 (* (exp re) (sin im)))
1.0ms	(log1p (expm1 (* (exp re) (sin im))))

series264.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* (exp re) (sin im))
109.0ms	(expm1 (* (exp re) (sin im)))
109.0ms	(log1p (expm1 (* (exp re) (sin im))))

simplify2.7s

Counts

51 → 51

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	67	417
1	145	379
2	504	336
3	3209	331
done	5000	329

prune204.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes144.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	11	16
done	11	16

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	1501×	body	1280	valid
555.0ms	6893×	body	80	valid
378.0ms	1297×	body	640	valid
157.0ms	596×	body	320	valid
41.0ms	316×	body	160	valid