Details

sample60.0ms

Algorithm

intervals

Results

22.0ms	247×	body	80	valid
13.0ms	38×	body	1280	valid
7.0ms	31×	body	640	valid
3.0ms	25×	body	320	valid
1.0ms	8×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

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:

19.0ms

(* (exp re) (sin im))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(* (exp re) (sin im))

simplify1.9s

Counts

23 → 23

Iterations

Useful iterations: 3 (384.0ms)

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

prune73.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (sin im))
0.0b	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))

rewrite94.0ms

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:

18.0ms	(* (sqrt (exp re)) (sin im))
65.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
4.0ms	(sqrt (exp re))
5.0ms	(sqrt (exp re))

series140.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (sqrt (exp re)) (sin im))
55.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
17.0ms	(sqrt (exp re))
14.0ms	(sqrt (exp re))

simplify622.0ms

Counts

95 → 95

Iterations

Useful iterations: done (620.0ms)

Iter	Nodes	Cost
0	87	783
1	192	722
2	797	565
done	5000	556

prune548.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (sqrt (exp re)))
0.0b	(expm1 (log1p (sqrt (exp re))))
0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-pow1`
6×	`pow1` `exp-prod` `sqrt-prod`
5×	`expm1-log1p-u`
4×	`add-exp-log` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2`
1×	`log1p-udef` `expm1-log1p` `log1p-expm1` `expm1-udef`

Counts

4 → 58

Calls

4 calls:

1.0ms	(log1p (sqrt (exp re)))
0.0ms	(expm1 (log1p (sqrt (exp re))))
4.0ms	(sqrt (exp re))
4.0ms	(sqrt (exp re))

series240.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(log1p (sqrt (exp re)))
124.0ms	(expm1 (log1p (sqrt (exp re))))
17.0ms	(sqrt (exp re))
17.0ms	(sqrt (exp re))

simplify2.6s

Counts

70 → 70

Iterations

Useful iterations: 4 (247.0ms)

Iter	Nodes	Cost
0	60	391
1	92	332
2	166	316
3	347	313
4	985	305
5	3662	305
done	5000	305

prune258.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (pow (exp 1) (/ re 2)))
0.0b	(expm1 (log1p (pow (exp 1) (/ re 2))))
0.1b	(pow (exp 1) (/ re 2))
0.2b	(sqrt (exp re))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow-unpow`
9×	`times-frac`
6×	`pow1` `exp-prod`
5×	`expm1-log1p-u`
4×	`add-exp-log` `pow-pow` `sqrt-pow1` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `sqrt-prod`
1×	`pow-to-exp` `rem-sqrt-square` `log1p-udef` `expm1-log1p` `pow1/2` `log1p-expm1` `pow-exp` `div-inv` `expm1-udef` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

0.0ms	(log1p (pow (exp 1) (/ re 2)))
0.0ms	(expm1 (log1p (pow (exp 1) (/ re 2))))
6.0ms	(pow (exp 1) (/ re 2))
3.0ms	(sqrt (exp re))

series193.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(log1p (pow (exp 1) (/ re 2)))
96.0ms	(expm1 (log1p (pow (exp 1) (/ re 2))))
14.0ms	(pow (exp 1) (/ re 2))
14.0ms	(sqrt (exp re))

simplify3.0s

Counts

84 → 84

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	116	676
1	266	531
2	811	497
3	4219	488
done	5001	480

prune327.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes106.0ms

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	7	10
1	9	10
done	9	10

end0.0ms

sample2.4s

Algorithm

intervals

Results

788.0ms	6918×	body	80	valid
705.0ms	1478×	body	1280	valid
358.0ms	1327×	body	640	valid
136.0ms	607×	body	320	valid
36.0ms	337×	body	160	valid